Question 22M.2.SL.TZ1.1c.i
| Date | May 2022 | Marks available | [Maximum mark: 2] | Reference code | 22M.2.SL.TZ1.1c.i |
| Level | SL | Paper | 2 | Time zone | TZ1 |
| Command term | Show that | Question number | c.i | Adapted from | N/A |
A student uses a load to pull a box up a ramp inclined at 30°. A string of constant length and negligible mass connects the box to the load that falls vertically. The string passes over a pulley that runs on a frictionless axle. Friction acts between the base of the box and the ramp. Air resistance is negligible.
The load has a mass of 3.5 kg and is initially 0.95 m above the floor. The mass of the box is 1.5 kg.
The load is released and accelerates downwards.
Show that the speed of the load when it hits the floor is about 2.1 m s−1.
[2]
proper use of kinematic equation ✓
«m s−1» ✓
Must see either the substituted values OR a value for v to at least three s.f. for MP2.
This was a "show that" questions, so examiners were looking for a clear equation leading to a clear substitution of values leading to an answer that had more significant digits than the given answer. Most candidates successfully selected the correct equation and showed a proper substitution. Some candidates started with an energy approach that needed modification as it clearly led to an incorrect solution. These responses did not receive full marks.
