State what is meant by the mass of a body.
- (a)State what is meant by the mass of a body.[1]
- (b)(i)Two blocks travel directly towards each other along a horizontal, frictionless surface. The blocks collide, as illustrated in Fig. 3.1. 0.40 m s⁻¹ 0.25 m s⁻¹ 0.20 m s⁻¹ v block A block B mass 3M mass M before mass 3M mass M after Fig. 3.1 Block A has mass 3M and block B has mass M. Before the collision, block A moves to the right with speed 0.40ms⁻¹ and block B moves to the left with speed 0.25ms⁻¹. After the collision, block A moves to the right with speed 0.20 ms⁻¹ and block B moves to the right with speed v. (i) Use Newton's third law to explain why, during the collision, the change in momentum of block A is equal and opposite to the change in momentum of block B.[2]
- (b)(ii)(ii) Determine speed v. V=[3]
- (b)(iii)1.(iii) Calculate, for the blocks, 1. the relative speed of approach, relative speed of approach =[1]
- (b)(iii)2.2. the relative speed of separation. relative speed of separation =[1]
- (b)(iv)(iv) Use your answers in (b)(iii) to state and explain whether the collision is elastic or inelastic.[1]
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 2018). The mark or mark type is shown in brackets.
- [B1] mass is the property (of a body/object) resisting changes in motion or mass is the quantity of matter (in a body)
- [B1] force on A (by B) equal and opposite to force on B (by A) or both A and B exert equal and opposite forces on each other
- [B1] force is rate of change of momentum and time (of contact) is same
- [C1] p = mv or 3M × 0.40 or M × 0.25 or 3M × 0.2 or Mv
- [C1] (3M × 0.40) – (M × 0.25) = (3M × 0.2) + Mv
- [A1] v = (3 × 0.40) – 0.25 – (3 × 0.2) = 0.35 ms⁻¹
- [A1] relative speed of approach = 0.40 + 0.25 = 0.65ms⁻¹
- [A1] relative speed of separation = 0.35 – 0.20 = 0.15ms⁻¹
- [B1] (relative) speed of separation not equal to/less than (relative) speed of approach or answers (to (b)(iii) are) not equal and so inelastic collision
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