A block X slides along a horizontal frictionless surface towards a stationary block Y, as illustrated in Fig. 2.1. [Figure 2.1] There are no resistive forces acting on block X as it moves towards block Y. At time t = 0, block X has momentum 0.40 kg m s⁻¹. A short time later, the blocks collide and then separate. The variation with time t of the momentum of block Y is shown in Fig. 2.2. [Figure 2.2]
- (a)Define linear momentum.[1]
- (b)Use Fig. 2.2 to:
- (b)(i)determine the time interval over which the blocks are in contact with each other[1]
- (b)(ii)describe, without calculation, the magnitude of the acceleration of block Y from: 1. time t = 80 ms to t = 100 ms 2. time t = 100 ms to t = 120 ms.[2]
- (c)Use Fig. 2.2 to determine the magnitude of the force exerted by block X on block Y.[2]
- (d)On Fig. 2.2, sketch the variation of the momentum of block X with time t from t = 0 to t = 160 ms.[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.
- [1] (momentum =) mass × velocity
- [1] time = 40 ms
- [1] (the magnitude of the acceleration is) constant
- [1] (the magnitude of the acceleration is) zero
- [1] F = Δp/ (Δ)t or F = gradient
- [1] e.g. F = 0.50/40 × 10⁻³ = 13 N
- [1] horizontal line from (0, 0.40) to (60, 0.40)
- [1] straight line from (60, 0.40) to (100, -0.10)
- [1] horizontal line from (100, –0.10) to (160, −0.10)
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