Question 19M.2.SL.TZ1.b.ii
| Date | May 2019 | Marks available | [Maximum mark: 2] | Reference code | 19M.2.SL.TZ1.b.ii |
| Level | SL | Paper | 2 | Time zone | TZ1 |
| Command term | Calculate | Question number | b.ii | Adapted from | N/A |
A girl rides a bicycle that is powered by an electric motor. A battery transfers energy to the electric motor. The emf of the battery is 16 V and it can deliver a charge of 43 kC when discharging completely from a full charge.
The maximum speed of the girl on a horizontal road is 7.0 m s–1 with energy from the battery alone. The maximum distance that the girl can travel under these conditions is 20 km.
The bicycle and the girl have a total mass of 66 kg. The girl rides up a slope that is at an angle of 3.0° to the horizontal.
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.
[2]
total force 34 + 34 = 68 «N» ✔
3.5 «ms-1»✔
If you suspect that the incorrect reference in this question caused confusion for a particular candidate, please refer the response to the PE.
Look for ECF from aiii and bi.
Accept 3.4 − 3.5 «ms-1».
Award [0] for solutions involving use of KE.
Award [0] for v = 7 ms-1.
Award [2] for a bald correct answer.
