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Question 116 of 173 in Forces, Movement, Shape, and Momentum

MOMENTUM

4 marks · Normal

A trolley of mass 2 kg is moving at 3 m/s towards a stationary trolley of mass 1 kg. They collide and stick together.

(a)

Calculate the total momentum before the collision.

[2 marks]
(b)

Calculate the velocity of the joined trolleys after the collision.

[2 marks]

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(a) 6 kg m/s

(b) 2 m/s

Common mistakes: Not combining masses after collision

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Marking points

M1 (a) · 1 mark · Calculates momentum of moving trolley (2 × 3).

A1 (a) · 1 mark · Gives 6 kg m/s with unit.

M2 (b) · 1 mark · Uses conservation of momentum and combines masses for after collision. (follow-through)

A2 (b) · 1 mark · Gives final velocity as 2 m/s, correct unit. (follow-through)

Worked solution

a) Only one trolley moves, so p = 2 × 3 = 6 kg m/s

b) Both trolleys together after collision: total mass = 2 + 1 = 3 kg

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