Syllabus sections » |
2.2 – Forces
Description
Nature of science:
Using mathematics: Isaac Newton provided the basis for much of our understanding of forces and motion by formalizing the previous work of scientists through the application of mathematics by inventing calculus to assist with this. (2.4)
Intuition: The tale of the falling apple describes simply one of the many flashes of intuition that went into the publication of Philosophiæ Naturalis Principia Mathematica in 1687. (1.5)
Understandings:
- Objects as point particles
- Free-body diagrams
- Translational equilibrium
- Newton’s laws of motion
- Solid friction
Applications and skills:
- Representing forces as vectors
- Sketching and interpreting free-body diagrams
- Describing the consequences of Newton’s first law for translational equilibrium
- Using Newton’s second law quantitatively and qualitatively
- Identifying force pairs in the context of Newton’s third law
- Solving problems involving forces and determining resultant force
- Describing solid friction (static and dynamic) by coefficients of friction
Guidance:
- Students should label forces using commonly accepted names or symbols (for example: weight or force of gravity or mg)
- Free-body diagrams should show scaled vector lengths acting from the point of application
- Examples and questions will be limited to constant mass
- mg should be identified as weight
- Calculations relating to the determination of resultant forces will be restricted to one- and two-dimensional situations
Data booklet reference:
Theory of knowledge:
- Classical physics believed that the whole of the future of the universe could be predicted from knowledge of the present state. To what extent can knowledge of the present give us knowledge of the future?
Utilization:
- Motion of charged particles in fields (see Physics sub-topics 5.4, 6.1, 11.1, 12.2)
- Application of friction in circular motion (see Physics sub-topic 6.1)
- Construction (considering ancient and modern approaches to safety, longevity and consideration of local weather and geological influences)
- Biomechanics (see Sports, exercise and health science SL sub-topic 4.3)
Aims:
- Aims 2 and 3: Newton’s work is often described by the quote from a letter he wrote to his rival, Robert Hooke, 11 years before the publication of Philosophiæ Naturalis Principia Mathematica, which states: “What Descartes did was a good step. You have added much several ways, and especially in taking the colours of thin plates into philosophical consideration. If I have seen a little further it is by standing on the shoulders of Giants.” It should be remembered that this quote is also inspired, this time by writers who had been using versions of it for at least 500 years before Newton’s time
- Aim 6: experiments could include (but are not limited to): verification of Newton’s second law; investigating forces in equilibrium; determination of the effects of friction
Directly related questions
-
20N.1.SL.TZ0.7:
Three forces act on a block which is sliding down a slope at constant speed. is the weight, is the reaction force at the surface of the block and is the friction force acting on the block.
In this situation
A. there must be an unbalanced force down the plane.
B. .
C. .
D. the resultant force on the block is zero.
-
20N.1.SL.TZ0.7:
Three forces act on a block which is sliding down a slope at constant speed. is the weight, is the reaction force at the surface of the block and is the friction force acting on the block.
In this situation
A. there must be an unbalanced force down the plane.
B. .
C. .
D. the resultant force on the block is zero.
-
20N.1.SL.TZ0.10:
A horizontal force acts on a sphere. A horizontal resistive force acts on the sphere where is the speed of the sphere and is a constant. What is the terminal velocity of the sphere?
A.
B.
C.
D.
-
20N.1.SL.TZ0.10:
A horizontal force acts on a sphere. A horizontal resistive force acts on the sphere where is the speed of the sphere and is a constant. What is the terminal velocity of the sphere?
A.
B.
C.
D.
-
20N.2.SL.TZ0.2a:
Draw and label the free-body diagram for the person.
-
20N.2.SL.TZ0.2a:
Draw and label the free-body diagram for the person.
-
20N.2.SL.TZ0.a:
Draw and label the free-body diagram for the person.
-
20N.2.SL.TZ0.1b:
The package and string are now released and fall to the ground. The lift force on the aircraft remains unchanged. Calculate the initial acceleration of the aircraft.
-
20N.2.SL.TZ0.1b:
The package and string are now released and fall to the ground. The lift force on the aircraft remains unchanged. Calculate the initial acceleration of the aircraft.
-
20N.2.SL.TZ0.b:
The package and string are now released and fall to the ground. The lift force on the aircraft remains unchanged. Calculate the initial acceleration of the aircraft.
- 20N.2.SL.TZ0.1a(ii): Outline, by reference to Newton’s third law, how the upward lift force on the aircraft is achieved.
- 20N.2.SL.TZ0.1a(ii): Outline, by reference to Newton’s third law, how the upward lift force on the aircraft is achieved.
- 20N.2.SL.TZ0.a(ii): Outline, by reference to Newton’s third law, how the upward lift force on the aircraft is achieved.
- 17N.1.HL.TZ0.5: A sunbather is supported in water by a floating sun bed. Which diagram represents the magnitudes...
- 17N.1.HL.TZ0.5: A sunbather is supported in water by a floating sun bed. Which diagram represents the magnitudes...
- 17N.2.SL.TZ0.1f: The coefficient of static friction between the sledge and the snow is 0.14. Outline, with a...
- 17N.2.SL.TZ0.1f: The coefficient of static friction between the sledge and the snow is 0.14. Outline, with a...
- 17N.2.SL.TZ0.f: The coefficient of static friction between the sledge and the snow is 0.14. Outline, with a...
- 21M.1.SL.TZ1.7: Two forces act on an object in different directions. The magnitudes of the forces are 18 N...
- 21M.1.SL.TZ1.7: Two forces act on an object in different directions. The magnitudes of the forces are 18 N...
- 21M.1.SL.TZ1.8: Two identical boxes are stored in a warehouse as shown in the diagram. Two forces acting on the...
- 21M.1.SL.TZ1.8: Two identical boxes are stored in a warehouse as shown in the diagram. Two forces acting on the...
-
21M.1.SL.TZ2.5:
A person with a weight of stands on a scale in an elevator.
What is the acceleration of the elevator when the scale reads ?
A. downwards
B. downwards
C. upwards
D. upwards
-
21M.1.SL.TZ2.5:
A person with a weight of stands on a scale in an elevator.
What is the acceleration of the elevator when the scale reads ?
A. downwards
B. downwards
C. upwards
D. upwards
-
21M.1.HL.TZ2.3:
A block rests on a rough horizontal plane. A force P is applied to the block and the block moves to the right.
There is a coefficient of friction giving rise to a frictional force F between the block and the plane. The force P is doubled. Will and F be unchanged or greater?
-
21M.1.HL.TZ2.3:
A block rests on a rough horizontal plane. A force P is applied to the block and the block moves to the right.
There is a coefficient of friction giving rise to a frictional force F between the block and the plane. The force P is doubled. Will and F be unchanged or greater?
-
21M.2.SL.TZ2.3b.i:
The thread makes an angle of 30° with the vertical wall. The ball has a mass of 0.025 kg.
Determine the horizontal force that acts on the ball.
-
21M.2.SL.TZ2.3b.i:
The thread makes an angle of 30° with the vertical wall. The ball has a mass of 0.025 kg.
Determine the horizontal force that acts on the ball.
-
21M.2.SL.TZ2.b.i:
The thread makes an angle of 30° with the vertical wall. The ball has a mass of 0.025 kg.
Determine the horizontal force that acts on the ball.
-
18M.2.SL.TZ1.1b.iii:
Calculate the magnitude of the average force exerted by the rope on the block between B and C.
-
18M.2.SL.TZ1.1b.iii:
Calculate the magnitude of the average force exerted by the rope on the block between B and C.
-
18M.2.SL.TZ1.b.iii:
Calculate the magnitude of the average force exerted by the rope on the block between B and C.
- 18M.1.SL.TZ2.4: A box is accelerated to the right across rough ground by a horizontal force Fa. The force...
- 18M.1.SL.TZ2.4: A box is accelerated to the right across rough ground by a horizontal force Fa. The force...
-
18M.2.SL.TZ2.1a.iii:
Show that the magnitude of the net force F on the ball is given by the following equation.
-
18M.2.SL.TZ2.1a.iii:
Show that the magnitude of the net force F on the ball is given by the following equation.
-
18M.2.SL.TZ2.a.iii:
Show that the magnitude of the net force F on the ball is given by the following equation.
-
18M.2.SL.TZ2.1c:
Outline whether this ball can move on a horizontal circular path of radius equal to the radius of the bowl.
-
18M.2.SL.TZ2.1c:
Outline whether this ball can move on a horizontal circular path of radius equal to the radius of the bowl.
-
18M.2.SL.TZ2.c:
Outline whether this ball can move on a horizontal circular path of radius equal to the radius of the bowl.
-
21N.1.SL.TZ0.5:
An elevator (lift) and its load accelerate vertically upwards.
Which statement is correct in this situation?
A. The net force on the load is zero.B. The tension in the cable is equal but opposite to the combined weight of the elevator and its load.
C. The normal reaction force on the load is equal but opposite to the force on the elevator from the load.
D. The elevator and its load are in translational equilibrium.
-
21N.1.SL.TZ0.5:
An elevator (lift) and its load accelerate vertically upwards.
Which statement is correct in this situation?
A. The net force on the load is zero.B. The tension in the cable is equal but opposite to the combined weight of the elevator and its load.
C. The normal reaction force on the load is equal but opposite to the force on the elevator from the load.
D. The elevator and its load are in translational equilibrium.
- 21N.2.SL.TZ0.4b.ii: Describe the motion of Q after release.
- 21N.2.SL.TZ0.4b.ii: Describe the motion of Q after release.
- 21N.2.SL.TZ0.b.ii: Describe the motion of Q after release.
-
18M.2.HL.TZ1.1b.iii:
Calculate the magnitude of the average force exerted by the rope on the block between B and C.
-
18M.2.HL.TZ1.1b.iii:
Calculate the magnitude of the average force exerted by the rope on the block between B and C.
-
18M.2.HL.TZ1.b.iii:
Calculate the magnitude of the average force exerted by the rope on the block between B and C.
-
18M.2.HL.TZ2.1c:
Outline whether this ball can move on a horizontal circular path of radius equal to the radius of the bowl.
-
18M.2.HL.TZ2.1c:
Outline whether this ball can move on a horizontal circular path of radius equal to the radius of the bowl.
-
18M.2.HL.TZ2.c:
Outline whether this ball can move on a horizontal circular path of radius equal to the radius of the bowl.
-
18M.2.HL.TZ2.1b:
The radius of the bowl is 8.0 m and θ = 22°. Determine the speed of the ball.
-
18M.2.HL.TZ2.1b:
The radius of the bowl is 8.0 m and θ = 22°. Determine the speed of the ball.
-
18M.2.HL.TZ2.b:
The radius of the bowl is 8.0 m and θ = 22°. Determine the speed of the ball.
-
18N.1.HL.TZ0.5:
A mass m attached to a string of length R moves in a vertical circle with a constant speed. The tension in the string at the top of the circle is T. What is the kinetic energy of the mass at the top of the circle?
A.
B.
C.
D.
-
18N.1.HL.TZ0.5:
A mass m attached to a string of length R moves in a vertical circle with a constant speed. The tension in the string at the top of the circle is T. What is the kinetic energy of the mass at the top of the circle?
A.
B.
C.
D.
- 18N.2.HL.TZ0.1c.ii: Explain what effect, if any, this spreading of the ions has on the acceleration of the spacecraft.
- 18N.2.HL.TZ0.1c.ii: Explain what effect, if any, this spreading of the ions has on the acceleration of the spacecraft.
- 18N.2.HL.TZ0.c.ii: Explain what effect, if any, this spreading of the ions has on the acceleration of the spacecraft.
- 18N.1.SL.TZ0.6: Two blocks X and Y rest on a frictionless horizontal surface as shown. A horizontal force is now...
- 18N.1.SL.TZ0.6: Two blocks X and Y rest on a frictionless horizontal surface as shown. A horizontal force is now...
- 18N.1.HL.TZ0.7: Three forces act at a point. In which diagram is the point in equilibrium?
- 18N.1.HL.TZ0.7: Three forces act at a point. In which diagram is the point in equilibrium?
- 22M.1.HL.TZ1.7: A book is at rest on a table. One of the forces acting on the book is its weight. What is the...
- 22M.1.HL.TZ1.7: A book is at rest on a table. One of the forces acting on the book is its weight. What is the...
-
22M.2.SL.TZ1.1d:
After the load has hit the floor, the box travels a further 0.35 m along the ramp before coming to rest. Determine the average frictional force between the box and the surface of the ramp.
-
22M.2.SL.TZ1.1d:
After the load has hit the floor, the box travels a further 0.35 m along the ramp before coming to rest. Determine the average frictional force between the box and the surface of the ramp.
-
22M.2.SL.TZ1.d:
After the load has hit the floor, the box travels a further 0.35 m along the ramp before coming to rest. Determine the average frictional force between the box and the surface of the ramp.
- 22M.1.SL.TZ2.7: A rocket has just been launched vertically from Earth. The image shows the free-body diagram of...
- 22M.1.SL.TZ2.7: A rocket has just been launched vertically from Earth. The image shows the free-body diagram of...
-
22M.1.SL.TZ2.6:
An object of mass 2.0 kg rests on a rough surface. A person pushes the object in a straight line with a force of 10 N through a distance d.
The resultant force acting on the object throughout d is 6.0 N.
What is the value of the sliding coefficient of friction between the surface and the object and what is the acceleration a of the object?
-
22M.1.SL.TZ2.6:
An object of mass 2.0 kg rests on a rough surface. A person pushes the object in a straight line with a force of 10 N through a distance d.
The resultant force acting on the object throughout d is 6.0 N.
What is the value of the sliding coefficient of friction between the surface and the object and what is the acceleration a of the object?
-
22M.1.HL.TZ2.7:
A book of mass m lies on top of a table of mass M that rolls freely along the ground. The coefficient of friction between the book and the table is . A person is pushing the rolling table.
What is the maximum acceleration of the table so that the book does not slide backwards relative to the table?
A.
B.
C.
D.
-
22M.1.HL.TZ2.7:
A book of mass m lies on top of a table of mass M that rolls freely along the ground. The coefficient of friction between the book and the table is . A person is pushing the rolling table.
What is the maximum acceleration of the table so that the book does not slide backwards relative to the table?
A.
B.
C.
D.
-
22M.2.SL.TZ2.1c.ii:
Deduce the mass of the airboat.
-
22M.2.SL.TZ2.1c.ii:
Deduce the mass of the airboat.
-
22M.2.SL.TZ2.c.ii:
Deduce the mass of the airboat.
-
22M.2.HL.TZ2.1a:
Outline why a force acts on the airboat due to the fan blade.
-
22M.2.HL.TZ2.1a:
Outline why a force acts on the airboat due to the fan blade.
-
22M.2.HL.TZ2.a:
Outline why a force acts on the airboat due to the fan blade.
- 19M.1.HL.TZ2.4: A book is at rest on a table. What is a pair of action–reaction forces for this situation...
- 19M.1.HL.TZ2.4: A book is at rest on a table. What is a pair of action–reaction forces for this situation...
- 19M.1.SL.TZ2.4: Two forces of magnitude 12 N and 24 N act at the same point. Which force cannot be the resultant...
- 19M.1.SL.TZ2.4: Two forces of magnitude 12 N and 24 N act at the same point. Which force cannot be the resultant...
- 19M.1.SL.TZ2.9: A block of weight W slides down a ramp at constant velocity. A friction force F acts between the...
- 19M.1.SL.TZ2.9: A block of weight W slides down a ramp at constant velocity. A friction force F acts between the...
-
19N.1.SL.TZ0.5:
A climber of mass m slides down a vertical rope with an average acceleration a. What is the average frictional force exerted by the rope on the climber?
A. mg
B. m(g + a)
C. m(g – a)
D. ma
-
19N.1.SL.TZ0.5:
A climber of mass m slides down a vertical rope with an average acceleration a. What is the average frictional force exerted by the rope on the climber?
A. mg
B. m(g + a)
C. m(g – a)
D. ma
- 19N.1.SL.TZ0.3: Two forces act along a straight line on an object that is initially at rest. One force is...
- 19N.1.SL.TZ0.3: Two forces act along a straight line on an object that is initially at rest. One force is...
-
19N.2.SL.TZ0.5b(i):
Calculate the magnitude of the initial acceleration of the electron.
-
19N.2.SL.TZ0.5b(i):
Calculate the magnitude of the initial acceleration of the electron.
-
19N.2.SL.TZ0.b(i):
Calculate the magnitude of the initial acceleration of the electron.
- 22N.1.SL.TZ0.5: An object of mass 2.0 kg is on a horizontal surface. The object is pulled by a force of 12.0 N...
- 22N.1.SL.TZ0.5: An object of mass 2.0 kg is on a horizontal surface. The object is pulled by a force of 12.0 N...
-
22N.1.HL.TZ0.8:
An engine is exerting a horizontal force on an object that is moving along a horizontal surface at a constant velocity . The mass of the object is and the coefficient of dynamic friction between the object and the surface is .
What is the power of the engine?
A.B.
C.
D.
-
22N.1.HL.TZ0.8:
An engine is exerting a horizontal force on an object that is moving along a horizontal surface at a constant velocity . The mass of the object is and the coefficient of dynamic friction between the object and the surface is .
What is the power of the engine?
A.B.
C.
D.
-
22N.1.HL.TZ0.1:
What is the definition of the SI unit for a force?
A. The force required to accelerate, in the direction of the force, a mass of 1 kg at 1 m s−2B. The force required to accelerate, in the direction of the force, a mass at 1 m s−2
C. The weight of a mass of 0.1 kg
D. The change in momentum per second
-
22N.1.HL.TZ0.1:
What is the definition of the SI unit for a force?
A. The force required to accelerate, in the direction of the force, a mass of 1 kg at 1 m s−2B. The force required to accelerate, in the direction of the force, a mass at 1 m s−2
C. The weight of a mass of 0.1 kg
D. The change in momentum per second
- 22N.2.SL.TZ0.1b: Explain, by reference to the vertical forces, how the raindrop reaches a constant speed.
- 22N.2.SL.TZ0.1b: Explain, by reference to the vertical forces, how the raindrop reaches a constant speed.
- 22N.2.SL.TZ0.b: Explain, by reference to the vertical forces, how the raindrop reaches a constant speed.
-
17N.1.SL.TZ0.6:
The diagram shows the forces acting on a block resting on an inclined plane. The angle θ is adjusted until the block is just at the point of sliding. R is the normal reaction, W the weight of the block and F the maximum frictional force.
What is the maximum coefficient of static friction between the block and the plane?
A. sin θ
B. cos θ
C. tan θ
D.
-
17N.1.SL.TZ0.6:
The diagram shows the forces acting on a block resting on an inclined plane. The angle θ is adjusted until the block is just at the point of sliding. R is the normal reaction, W the weight of the block and F the maximum frictional force.
What is the maximum coefficient of static friction between the block and the plane?
A. sin θ
B. cos θ
C. tan θ
D.
- 17N.2.SL.TZ0.1a: Draw the free-body diagram for the sledge at the position shown on the snow slope.
- 17N.2.SL.TZ0.1a: Draw the free-body diagram for the sledge at the position shown on the snow slope.
- 17N.2.SL.TZ0.a: Draw the free-body diagram for the sledge at the position shown on the snow slope.
-
17N.2.SL.TZ0.1b:
After leaving the snow slope, the girl on the sledge moves over a horizontal region of snow. Explain, with reference to the physical origin of the forces, why the vertical forces on the girl must be in equilibrium as she moves over the horizontal region.
-
17N.2.SL.TZ0.1b:
After leaving the snow slope, the girl on the sledge moves over a horizontal region of snow. Explain, with reference to the physical origin of the forces, why the vertical forces on the girl must be in equilibrium as she moves over the horizontal region.
-
17N.2.SL.TZ0.b:
After leaving the snow slope, the girl on the sledge moves over a horizontal region of snow. Explain, with reference to the physical origin of the forces, why the vertical forces on the girl must be in equilibrium as she moves over the horizontal region.
-
17N.2.HL.TZ0.8c:
The electron is replaced by a proton which is also released from rest at X. Compare, without calculation, the motion of the electron with the motion of the proton after release. You may assume that no frictional forces act on the electron or the proton.
-
17N.2.HL.TZ0.8c:
The electron is replaced by a proton which is also released from rest at X. Compare, without calculation, the motion of the electron with the motion of the proton after release. You may assume that no frictional forces act on the electron or the proton.
-
17N.2.HL.TZ0.c:
The electron is replaced by a proton which is also released from rest at X. Compare, without calculation, the motion of the electron with the motion of the proton after release. You may assume that no frictional forces act on the electron or the proton.
- 18M.1.SL.TZ1.4: A uniform ladder resting in equilibrium on rough ground leans against a smooth wall. Which...
- 18M.1.SL.TZ1.4: A uniform ladder resting in equilibrium on rough ground leans against a smooth wall. Which...
-
18M.2.SL.TZ1.1b.ii:
Sketch on the diagram the average resultant force acting on the block between B and C. The arrow on the diagram represents the weight of the block.
-
18M.2.SL.TZ1.1b.ii:
Sketch on the diagram the average resultant force acting on the block between B and C. The arrow on the diagram represents the weight of the block.
-
18M.2.SL.TZ1.b.ii:
Sketch on the diagram the average resultant force acting on the block between B and C. The arrow on the diagram represents the weight of the block.
-
18M.2.HL.TZ1.1b.ii:
Sketch on the diagram the average resultant force acting on the block between B and C. The arrow on the diagram represents the weight of the block.
-
18M.2.HL.TZ1.1b.ii:
Sketch on the diagram the average resultant force acting on the block between B and C. The arrow on the diagram represents the weight of the block.
-
18M.2.HL.TZ1.b.ii:
Sketch on the diagram the average resultant force acting on the block between B and C. The arrow on the diagram represents the weight of the block.
-
18M.1.SL.TZ2.8:
A weight W is tied to a trolley of mass M by a light string passing over a frictionless pulley. The trolley has an acceleration a on a frictionless table. The acceleration due to gravity is g.
What is W ?
A.
B.
C.
D.
-
18M.1.SL.TZ2.8:
A weight W is tied to a trolley of mass M by a light string passing over a frictionless pulley. The trolley has an acceleration a on a frictionless table. The acceleration due to gravity is g.
What is W ?
A.
B.
C.
D.
-
18M.2.SL.TZ2.1b:
The radius of the bowl is 8.0 m and θ = 22°. Determine the speed of the ball.
-
18M.2.SL.TZ2.1b:
The radius of the bowl is 8.0 m and θ = 22°. Determine the speed of the ball.
-
18M.2.SL.TZ2.b:
The radius of the bowl is 8.0 m and θ = 22°. Determine the speed of the ball.
-
18M.3.SL.TZ2.6b.i:
Describe the effect of F on the linear speed of the wheel.
-
18M.3.SL.TZ2.6b.i:
Describe the effect of F on the linear speed of the wheel.
-
18M.3.SL.TZ2.b.i:
Describe the effect of F on the linear speed of the wheel.
- 18M.1.HL.TZ1.6: A parachutist of total mass 70 kg is falling vertically through the air at a constant speed of 8...
- 18M.1.HL.TZ1.6: A parachutist of total mass 70 kg is falling vertically through the air at a constant speed of 8...
-
18M.2.HL.TZ2.1a.iii:
Show that the magnitude of the net force F on the ball is given by the following equation.
-
18M.2.HL.TZ2.1a.iii:
Show that the magnitude of the net force F on the ball is given by the following equation.
-
18M.2.HL.TZ2.a.iii:
Show that the magnitude of the net force F on the ball is given by the following equation.
- 18N.2.SL.TZ0.1c.ii: Explain what effect, if any, this spreading of the ions has on the acceleration of the spacecraft.
- 18N.2.SL.TZ0.1c.ii: Explain what effect, if any, this spreading of the ions has on the acceleration of the spacecraft.
- 18N.2.SL.TZ0.c.ii: Explain what effect, if any, this spreading of the ions has on the acceleration of the spacecraft.
-
18N.2.HL.TZ0.1b.i:
(i) Estimate the maximum speed of the spacecraft.
(ii) Outline why the answer to (i) is an estimate.
-
18N.2.HL.TZ0.1b.i:
(i) Estimate the maximum speed of the spacecraft.
(ii) Outline why the answer to (i) is an estimate.
-
18N.2.HL.TZ0.b.i:
(i) Estimate the maximum speed of the spacecraft.
(ii) Outline why the answer to (i) is an estimate.
- 19M.2.HL.TZ2.1c: A student models the bounce of the tennis ball to predict the angle θ at which the ball leaves a...
- 19M.2.HL.TZ2.1c: A student models the bounce of the tennis ball to predict the angle θ at which the ball leaves a...
- 19M.2.HL.TZ2.c: A student models the bounce of the tennis ball to predict the angle θ at which the ball leaves a...
-
19M.1.SL.TZ1.7:
Two blocks of masses m and 2m are travelling directly towards each other. Both are moving at the same constant speed v. The blocks collide and stick together.
What is the total momentum of the system before and after the collision?
-
19M.1.SL.TZ1.7:
Two blocks of masses m and 2m are travelling directly towards each other. Both are moving at the same constant speed v. The blocks collide and stick together.
What is the total momentum of the system before and after the collision?
-
19M.1.SL.TZ1.8:
The graph shows the variation with time of the resultant net force acting on an object. The object has a mass of 1kg and is initially at rest.
What is the velocity of the object at a time of 200 ms?
A. 8 m s–1
B. 16 m s–1
C. 8 km s–1
D. 16 km s–1
-
19M.1.SL.TZ1.8:
The graph shows the variation with time of the resultant net force acting on an object. The object has a mass of 1kg and is initially at rest.
What is the velocity of the object at a time of 200 ms?
A. 8 m s–1
B. 16 m s–1
C. 8 km s–1
D. 16 km s–1
-
19M.1.SL.TZ1.9:
A block is on the surface of a horizontal rotating disk. The block is at rest relative to the disk. The disk is rotating at constant angular velocity.
What is the correct arrow to represent the direction of the frictional force acting on the block at the instant shown?
-
19M.1.SL.TZ1.9:
A block is on the surface of a horizontal rotating disk. The block is at rest relative to the disk. The disk is rotating at constant angular velocity.
What is the correct arrow to represent the direction of the frictional force acting on the block at the instant shown?
-
19M.2.SL.TZ1.1b.ii:
The battery continues to give an output power of 240 W. Assume that the resistive forces are the same as in (a)(iii).
Calculate the maximum speed of the bicycle and the girl up the slope.
-
19M.2.SL.TZ1.1b.ii:
The battery continues to give an output power of 240 W. Assume that the resistive forces are the same as in (a)(iii).
Calculate the maximum speed of the bicycle and the girl up the slope.
-
19M.2.SL.TZ1.b.ii:
The battery continues to give an output power of 240 W. Assume that the resistive forces are the same as in (a)(iii).
Calculate the maximum speed of the bicycle and the girl up the slope.
- 19M.2.SL.TZ1.1c: On another journey up the slope, the girl carries an additional mass. Explain whether carrying...
- 19M.2.SL.TZ1.1c: On another journey up the slope, the girl carries an additional mass. Explain whether carrying...
- 19M.2.SL.TZ1.c: On another journey up the slope, the girl carries an additional mass. Explain whether carrying...
- 19M.3.SL.TZ2.8c: The coefficient of friction between the ladder and the ground is 0.400. Determine whether the...
- 19M.3.SL.TZ2.8c: The coefficient of friction between the ladder and the ground is 0.400. Determine whether the...
- 19M.3.SL.TZ2.c: The coefficient of friction between the ladder and the ground is 0.400. Determine whether the...
- 19M.2.SL.TZ2.1c: The student models the bounce of the tennis ball to predict the angle θ at which the ball leaves...
- 19M.2.SL.TZ2.c: The student models the bounce of the tennis ball to predict the angle θ at which the ball leaves...
- 19M.2.SL.TZ2.1c: The student models the bounce of the tennis ball to predict the angle θ at which the ball leaves...
-
19M.2.SL.TZ2.5b:
The speed of the proton is 2.16 × 106 m s-1 and the magnetic field strength is 0.042 T. For this proton, determine, in m, the radius of the circular path. Give your answer to an appropriate number of significant figures.
-
19M.2.SL.TZ2.5b:
The speed of the proton is 2.16 × 106 m s-1 and the magnetic field strength is 0.042 T. For this proton, determine, in m, the radius of the circular path. Give your answer to an appropriate number of significant figures.
-
19M.2.SL.TZ2.b:
The speed of the proton is 2.16 × 106 m s-1 and the magnetic field strength is 0.042 T. For this proton, determine, in m, the radius of the circular path. Give your answer to an appropriate number of significant figures.
- 19M.1.HL.TZ1.7: A waiter carrying a tray is accelerating to the right as shown in the image. What is the...
- 19M.1.HL.TZ1.7: A waiter carrying a tray is accelerating to the right as shown in the image. What is the...
- 19N.1.SL.TZ0.6: A cube slides down the surface of a ramp at a constant velocity. What is the magnitude of the...
- 19N.1.SL.TZ0.6: A cube slides down the surface of a ramp at a constant velocity. What is the magnitude of the...
-
19N.1.SL.TZ0.21:
An object hangs from a light string and moves in a horizontal circle of radius r.
The string makes an angle θ with the vertical. The angular speed of the object is ω. What is tan θ?
A.
B.
C.
D.
-
19N.1.SL.TZ0.21:
An object hangs from a light string and moves in a horizontal circle of radius r.
The string makes an angle θ with the vertical. The angular speed of the object is ω. What is tan θ?
A.
B.
C.
D.
-
20N.1.SL.TZ0.5:
An object of mass is falling vertically through the air. The drag force acting on the object is . What is the best estimate of the acceleration of the object?
A. Zero
B.
C.
D.
-
20N.1.SL.TZ0.5:
An object of mass is falling vertically through the air. The drag force acting on the object is . What is the best estimate of the acceleration of the object?
A. Zero
B.
C.
D.
-
20N.1.HL.TZ0.3:
A body is held in translational equilibrium by three coplanar forces of magnitude , and . Three statements about these forces are
I. all forces are perpendicular to each other
II. the forces cannot act in the same direction
III. the vector sum of the forces is equal to zero.Which statements are true?
A. I and II only
B. I and III only
C. II and III only
D. I, II and III
-
20N.1.HL.TZ0.3:
A body is held in translational equilibrium by three coplanar forces of magnitude , and . Three statements about these forces are
I. all forces are perpendicular to each other
II. the forces cannot act in the same direction
III. the vector sum of the forces is equal to zero.Which statements are true?
A. I and II only
B. I and III only
C. II and III only
D. I, II and III
- 20N.2.SL.TZ0.1a(i): State the value of the resultant force on the aircraft when hovering.
- 20N.2.SL.TZ0.1a(i): State the value of the resultant force on the aircraft when hovering.
- 20N.2.SL.TZ0.a(i): State the value of the resultant force on the aircraft when hovering.
-
20N.2.SL.TZ0.2b:
The person must not slide down the wall. Show that the minimum angular velocity of the cylinder for this situation is
where is the coefficient of static friction between the person and the cylinder.
-
20N.2.SL.TZ0.2b:
The person must not slide down the wall. Show that the minimum angular velocity of the cylinder for this situation is
where is the coefficient of static friction between the person and the cylinder.
-
20N.2.SL.TZ0.b:
The person must not slide down the wall. Show that the minimum angular velocity of the cylinder for this situation is
where is the coefficient of static friction between the person and the cylinder.
-
20N.2.SL.TZ0.2c:
The coefficient of static friction between the person and the cylinder is . The radius of the cylinder is . The cylinder makes revolutions per minute. Deduce whether the person will slide down the inner surface of the cylinder.
-
20N.2.SL.TZ0.2c:
The coefficient of static friction between the person and the cylinder is . The radius of the cylinder is . The cylinder makes revolutions per minute. Deduce whether the person will slide down the inner surface of the cylinder.
-
20N.2.SL.TZ0.c:
The coefficient of static friction between the person and the cylinder is . The radius of the cylinder is . The cylinder makes revolutions per minute. Deduce whether the person will slide down the inner surface of the cylinder.
- 20N.2.HL.TZ0.1a(i): State the value of the resultant force on the aircraft when hovering.
- 20N.2.HL.TZ0.1a(i): State the value of the resultant force on the aircraft when hovering.
- 20N.2.HL.TZ0.a(i): State the value of the resultant force on the aircraft when hovering.
- 20N.2.HL.TZ0.1a(ii): Outline, by reference to Newton’s third law, how the upward lift force on the aircraft is achieved.
- 20N.2.HL.TZ0.1a(ii): Outline, by reference to Newton’s third law, how the upward lift force on the aircraft is achieved.
- 20N.2.HL.TZ0.a(ii): Outline, by reference to Newton’s third law, how the upward lift force on the aircraft is achieved.
-
20N.2.HL.TZ0.1b:
The package and string are now released and fall to the ground. The lift force on the aircraft remains unchanged. Calculate the initial acceleration of the aircraft.
-
20N.2.HL.TZ0.1b:
The package and string are now released and fall to the ground. The lift force on the aircraft remains unchanged. Calculate the initial acceleration of the aircraft.
-
20N.2.HL.TZ0.b:
The package and string are now released and fall to the ground. The lift force on the aircraft remains unchanged. Calculate the initial acceleration of the aircraft.
-
21M.2.HL.TZ2.3b.i:
The thread makes an angle of 30° with the vertical wall. The ball has a mass of 0.025 kg.
Determine the horizontal force that acts on the ball.
-
21M.2.HL.TZ2.3b.i:
The thread makes an angle of 30° with the vertical wall. The ball has a mass of 0.025 kg.
Determine the horizontal force that acts on the ball.
-
21M.2.HL.TZ2.b.i:
The thread makes an angle of 30° with the vertical wall. The ball has a mass of 0.025 kg.
Determine the horizontal force that acts on the ball.
-
21M.1.HL.TZ1.5:
A mass is released from the top of a smooth ramp of height . After leaving the ramp, the mass slides on a rough horizontal surface.
The mass comes to rest in a distance d. What is the coefficient of dynamic friction between the mass and the horizontal surface?
-
21M.1.HL.TZ1.5:
A mass is released from the top of a smooth ramp of height . After leaving the ramp, the mass slides on a rough horizontal surface.
The mass comes to rest in a distance d. What is the coefficient of dynamic friction between the mass and the horizontal surface?
- 21M.1.SL.TZ2.4: A person is standing at rest on the ground and experiences a downward gravitational force W and...
- 21M.1.SL.TZ2.4: A person is standing at rest on the ground and experiences a downward gravitational force W and...
- 21M.1.SL.TZ2.6: Two identical boxes containing different masses are sliding with the same initial speed on...
- 21M.1.SL.TZ2.6: Two identical boxes containing different masses are sliding with the same initial speed on...
- 21N.1.SL.TZ0.6: X and Y are two objects on a frictionless table connected by a string. The mass of X is 2 kg and...
- 21N.1.SL.TZ0.6: X and Y are two objects on a frictionless table connected by a string. The mass of X is 2 kg and...
- 22M.1.SL.TZ2.8: An object is pushed from rest by a constant net force of 100 N. When the object has travelled...
- 22M.1.SL.TZ2.8: An object is pushed from rest by a constant net force of 100 N. When the object has travelled...
- 22M.1.HL.TZ2.5: A solid metal ball is dropped from a tower. The variation with time of the velocity of the...
- 22M.1.HL.TZ2.5: A solid metal ball is dropped from a tower. The variation with time of the velocity of the...
- 22M.1.HL.TZ2.21: An astronaut is orbiting Earth in a spaceship. Why does the astronaut experience...
- 22M.1.HL.TZ2.21: An astronaut is orbiting Earth in a spaceship. Why does the astronaut experience...
-
22M.2.SL.TZ2.1a:
Outline why a force acts on the airboat due to the fan blade.
-
22M.2.SL.TZ2.1a:
Outline why a force acts on the airboat due to the fan blade.
-
22M.2.SL.TZ2.a:
Outline why a force acts on the airboat due to the fan blade.
-
22M.2.HL.TZ2.1c.iii:
Deduce the mass of the airboat.
-
22M.2.HL.TZ2.1c.iii:
Deduce the mass of the airboat.
-
22M.2.HL.TZ2.c.iii:
Deduce the mass of the airboat.
-
22M.1.SL.TZ1.4:
A block moving with initial speed is brought to rest, after travelling a distance d, by a frictional force . A second identical block moving with initial speed u is brought to rest in the same distance d by a frictional force . What is u?
A.
B.
C.
D.
-
22M.1.SL.TZ1.4:
A block moving with initial speed is brought to rest, after travelling a distance d, by a frictional force . A second identical block moving with initial speed u is brought to rest in the same distance d by a frictional force . What is u?
A.
B.
C.
D.
-
22M.1.SL.TZ1.6:
Which of the formulae represents Newton’s second law?
A.
B.
C.
D.
-
22M.1.SL.TZ1.6:
Which of the formulae represents Newton’s second law?
A.
B.
C.
D.
-
22M.1.SL.TZ1.7:
Two masses and are connected by a string over a frictionless pulley of negligible mass. The masses are released from rest. Air resistance is negligible.
Mass accelerates downwards at . What is ?
A.B.
C. 2
D. 3
-
22M.1.SL.TZ1.7:
Two masses and are connected by a string over a frictionless pulley of negligible mass. The masses are released from rest. Air resistance is negligible.
Mass accelerates downwards at . What is ?
A.B.
C. 2
D. 3
-
22M.2.SL.TZ1.1b:
The vertical acceleration of the load downwards is 2.4 m s−2.
Calculate the tension in the string.
-
22M.2.SL.TZ1.1b:
The vertical acceleration of the load downwards is 2.4 m s−2.
Calculate the tension in the string.
-
22M.2.SL.TZ1.b:
The vertical acceleration of the load downwards is 2.4 m s−2.
Calculate the tension in the string.
- 22M.2.SL.TZ1.1e: The student then makes the ramp horizontal and applies a constant horizontal force to the box....
- 22M.2.SL.TZ1.1e: The student then makes the ramp horizontal and applies a constant horizontal force to the box....
- 22M.2.SL.TZ1.e: The student then makes the ramp horizontal and applies a constant horizontal force to the box....
- 22N.2.SL.TZ0.4b: Explain why the magnitude of the force exerted on the mass by the rod is not constant.
- 22N.2.SL.TZ0.4b: Explain why the magnitude of the force exerted on the mass by the rod is not constant.
- 22N.2.SL.TZ0.b: Explain why the magnitude of the force exerted on the mass by the rod is not constant.
- 23M.1.HL.TZ1.7: A block of mass 2.0 kg is placed on a trolley of mass 5.0 kg, moving horizontally. A force of...
- 23M.1.HL.TZ1.7: A block of mass 2.0 kg is placed on a trolley of mass 5.0 kg, moving horizontally. A force of...
-
23M.1.HL.TZ1.6:
A ball attached to a string is made to rotate with constant speed along a horizontal circle. The string is attached to the ceiling and makes an angle of θ ° with the vertical. The tension in the string is T.
What is correct about the horizontal component and vertical component of the net force on the ball?
Horizontal component Vertical component A. B. C. 0 D. 0 -
23M.1.SL.TZ1.7:
A ball attached to a string is made to rotate with constant speed along a horizontal circle. The string is attached to the ceiling and makes an angle of θ ° with the vertical. The tension in the string is T.
What is correct about the horizontal component and vertical component of the net force on the ball?
Horizontal component Vertical component A. B. C. 0 D. 0 -
23M.1.HL.TZ1.6:
A ball attached to a string is made to rotate with constant speed along a horizontal circle. The string is attached to the ceiling and makes an angle of θ ° with the vertical. The tension in the string is T.
What is correct about the horizontal component and vertical component of the net force on the ball?
Horizontal component Vertical component A. B. C. 0 D. 0 -
23M.1.SL.TZ1.7:
A ball attached to a string is made to rotate with constant speed along a horizontal circle. The string is attached to the ceiling and makes an angle of θ ° with the vertical. The tension in the string is T.
What is correct about the horizontal component and vertical component of the net force on the ball?
Horizontal component Vertical component A. B. C. 0 D. 0 - 23M.1.HL.TZ1.20: A stuntman rides a motorcycle on the inside surface of a cylinder. Which is the correct...
- 23M.1.SL.TZ1.22: A stuntman rides a motorcycle on the inside surface of a cylinder. Which is the correct...
- 23M.1.SL.TZ1.22: A stuntman rides a motorcycle on the inside surface of a cylinder. Which is the correct...
- 23M.1.HL.TZ1.20: A stuntman rides a motorcycle on the inside surface of a cylinder. Which is the correct...
- 23M.2.SL.TZ1.1a: Just before the collision of the ball with the block,
- 23M.2.HL.TZ1.1a: Just before the collision of the ball with the block,
- 23M.2.SL.TZ1.1a: Just before the collision of the ball with the block,
- 23M.2.SL.TZ1.a: Just before the collision of the ball with the block,
- 23M.2.HL.TZ1.1a: Just before the collision of the ball with the block,
- 23M.2.HL.TZ1.a: Just before the collision of the ball with the block,
- 23M.2.HL.TZ1.6a: The centres of two identical fixed conducting spheres each of charge +Q are separated by a...
- 23M.2.HL.TZ1.6a: The centres of two identical fixed conducting spheres each of charge +Q are separated by a...
- 23M.2.HL.TZ1.a: The centres of two identical fixed conducting spheres each of charge +Q are separated by a...
-
23M.3.HL.TZ1.10a:
Draw and label on diagram B the forces acting on the sphere just after it has been released.
-
23M.3.HL.TZ1.10a:
Draw and label on diagram B the forces acting on the sphere just after it has been released.
-
23M.3.HL.TZ1.a:
Draw and label on diagram B the forces acting on the sphere just after it has been released.
- 23M.1.HL.TZ2.3: A mass is suspended by a light string from the roof of a car. The car is accelerating up an...
- 23M.1.HL.TZ2.3: A mass is suspended by a light string from the roof of a car. The car is accelerating up an...
- 23M.1.SL.TZ2.6: The angle θ between a ramp and a horizontal surface slowly increases from zero. An object on the...
- 23M.1.HL.TZ2.5: The angle θ between a ramp and a horizontal surface slowly increases from zero. An object on the...
- 23M.1.SL.TZ2.6: The angle θ between a ramp and a horizontal surface slowly increases from zero. An object on the...
- 23M.1.HL.TZ2.5: The angle θ between a ramp and a horizontal surface slowly increases from zero. An object on the...
-
23M.1.SL.TZ2.23:
A mass on the end of a string is rotating on a frictionless table in circular motion of radius R1 and undergoes an angular displacement of θ in time t.
The string tension is kept constant, but the angular displacement of the mass is increased to 2θ in time t. The radius of the motion changes to R2.
What is R2?
A.B. 2R1
C. 4R1
D. R1 × R1
-
23M.1.HL.TZ2.19:
A mass on the end of a string is rotating on a frictionless table in circular motion of radius R1 and undergoes an angular displacement of θ in time t.
The string tension is kept constant, but the angular displacement of the mass is increased to 2θ in time t. The radius of the motion changes to R2.
What is R2?
A.B. 2R1
C. 4R1
D. R1 × R1
-
23M.1.SL.TZ2.23:
A mass on the end of a string is rotating on a frictionless table in circular motion of radius R1 and undergoes an angular displacement of θ in time t.
The string tension is kept constant, but the angular displacement of the mass is increased to 2θ in time t. The radius of the motion changes to R2.
What is R2?
A.B. 2R1
C. 4R1
D. R1 × R1
-
23M.1.HL.TZ2.19:
A mass on the end of a string is rotating on a frictionless table in circular motion of radius R1 and undergoes an angular displacement of θ in time t.
The string tension is kept constant, but the angular displacement of the mass is increased to 2θ in time t. The radius of the motion changes to R2.
What is R2?
A.B. 2R1
C. 4R1
D. R1 × R1
- 23M.1.SL.TZ1.10: A tennis ball is dropped from rest from a height. It hits the ground and bounces back to a lower...
- 23M.1.SL.TZ1.10: A tennis ball is dropped from rest from a height. It hits the ground and bounces back to a lower...
- 23M.1.HL.TZ1.18: An electron enters a region of uniform magnetic field at a speed v. The direction of the electron...
- 23M.1.SL.TZ1.21: An electron enters a region of uniform magnetic field at a speed v. The direction of the electron...
- 23M.1.SL.TZ1.21: An electron enters a region of uniform magnetic field at a speed v. The direction of the electron...
- 23M.1.HL.TZ1.18: An electron enters a region of uniform magnetic field at a speed v. The direction of the electron...
- 23M.1.SL.TZ1.8: A block of mass 2.0 kg accelerates uniformly at a rate of 1.0 m s−2 when a force of 4.0 N acts on...
- 23M.1.SL.TZ1.8: A block of mass 2.0 kg accelerates uniformly at a rate of 1.0 m s−2 when a force of 4.0 N acts on...
-
23M.1.HL.TZ2.6:
A spring of negligible mass is compressed and placed between two stationary masses m and M. The mass of M is twice that of m. The spring is released so that the masses move in opposite directions.
What is ?
A.B. 1
C. 2
D. 4
-
23M.1.HL.TZ2.6:
A spring of negligible mass is compressed and placed between two stationary masses m and M. The mass of M is twice that of m. The spring is released so that the masses move in opposite directions.
What is ?
A.B. 1
C. 2
D. 4
- 23M.1.SL.TZ2.2: A toy car of mass 2 kg is at rest on a horizontal surface. A force of 30 N is applied to the toy...
- 23M.1.SL.TZ2.2: A toy car of mass 2 kg is at rest on a horizontal surface. A force of 30 N is applied to the toy...
-
23M.1.SL.TZ2.5:
A variable force with a maximum Fmax is applied to an object over a time interval T. The object has a mass m and is initially at rest.
What is the speed of the object at time T?
A.B.
C. FmaxTm
D. 2FmaxTm
-
23M.1.SL.TZ2.5:
A variable force with a maximum Fmax is applied to an object over a time interval T. The object has a mass m and is initially at rest.
What is the speed of the object at time T?
A.B.
C. FmaxTm
D. 2FmaxTm
-
23M.2.HL.TZ2.1a:
Estimate, using the graph, the maximum height of the bottle.
-
23M.2.HL.TZ2.1a:
Estimate, using the graph, the maximum height of the bottle.
-
23M.2.HL.TZ2.a:
Estimate, using the graph, the maximum height of the bottle.
-
23M.2.SL.TZ2.1a:
Estimate, using the graph, the maximum height of the bottle.
-
23M.2.SL.TZ2.1a:
Estimate, using the graph, the maximum height of the bottle.
-
23M.2.SL.TZ2.a:
Estimate, using the graph, the maximum height of the bottle.