Physics 9702 · AS & A Level · Linear momentum and its conservation

Linear momentum and its conservation — practice question

(a)[1]

State the meaning of the mass of a body.

(b(i))[2]

Two blocks move straight towards each other on a horizontal, frictionless surface. 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.

(b(ii))[3]

Determine the speed $v$ of block B after the collision.

(b)

Two blocks move straight towards each other on a horizontal, frictionless surface. The blocks collide, as shown in Fig. 3.1. Block A has mass $3M$ and block B has mass $M$. Before the collision, block A travels to the right at a speed of $0.40\,\text{m s}^{-1}$ and block B travels to the left at a speed of $0.25\,\text{m s}^{-1}$. After the collision, block A travels to the right at a speed of $0.20\,\text{m s}^{-1}$ and block B travels to the right at speed $v$.

(b(iii).1)[1]

Calculate, for the blocks, the relative speed of approach.

(b(iii).2)[2]

Calculate, for the blocks, the relative speed of separation.

(b(iv))[1]

Use your answers in (b)(iii) to state and explain whether the collision is elastic or inelastic.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: a body's resistance to change in motion or the quantity of matter it contains

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