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O-LevelPhysicsForces5054/22 · May/June 2024 · Q18 Marks

Fig. 1.1 shows two trolleys. On the front of trolley A, there is a wooden rod. Trolley B is initially at rest. As trolley A moves towards the right, the rod enters the modelling clay. Trolley A slows down and trolley B starts moving. The trolleys then stick together and continue moving towards the right. [Figure 1.1] Fig. 1.2 shows the speed-time graph for the two trolleys. [Figure 1.2] The trolleys start to collide at time t = 0.30s. At t = 0.50s, the trolleys are moving at the same speed.

  1. (a)(i)State how Fig. 1.2 shows that, during the collision, trolley B has a uniform acceleration.[1]
  2. (a)(ii)Describe how the graph in Fig. 1.2 shows that the magnitude (size) of the acceleration of trolley B is larger than the magnitude of the deceleration of trolley A.[1]
  3. (a)(iii)Calculate the acceleration of trolley B when t = 0.40s.[2]
  4. (b)The mass of trolley A = 0.80 kg. The mass of trolley B = 0.60 kg. Show that momentum is conserved in the collision.[2]
  5. (c)In another collision between the same trolleys, the rod and modelling clay are not present. Trolley A hits trolley B with the same initial speed. Explain why the force between the trolleys is larger in this collision.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.

  1. 1(a)(i) straight line (on speed-time graph)
  2. 1(a)(ii) gradient of line steeper (for B) or larger change in speed (in same time)
  3. 1(a)(iii) (a = ) change in speed / time in any form
  4. 1(a)(iii) 2(.0) m/s²
  5. 1(b) (p =) mv or (initial) momentum of A = 0.56 (kgm/s)
  6. 1(b) and final momentum of A and B = 1.4 x 0.4 = 0.56
  7. 1(c) Any two out of three: • contact surfaces are more rigid / less pliable aaw • decreases the time of contact or final velocity of B is larger (than 0.4 m / s) / final velocity of A is smaller • increases acceleration or force = (mv - mu) / t or impulse /t

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About this question

Topic
Forces, O-Level Physics (syllabus 5054). Structured question, 8 marks.
Source
O-Level Physics, May/June 2024 Paper 2 Variant 2, question 1.

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