Physics 9702 · AS & A Level · Momentum and Newton's laws of motion

Momentum and Newton's laws of motion — practice question

A block is dragged by a force $X$ in a straight line over a rough horizontal surface, as illustrated in Fig. 3.1. Take the total resistive force opposing the block's motion as $0.80\,\text{N}$ at every speed. Fig. 3.2 shows how the magnitude of the force $X$ changes with time $t$.
(a(i))[1]

Define force

(a(ii))[2]

Find the block's change in momentum from time $t = 0$ to time $t = 3.0\,\text{s}$.

(b(i))[2]

Describe and explain the block's motion from time $t = 3.0\,\text{s}$ to time $t = 6.0\,\text{s}$.

(b(ii))[3]

Force $X$ gives a total power of $2.0\,\text{W}$ while moving the block from time $t = 3.0\,\text{s}$ to time $t = 6.0\,\text{s}$. Calculate how far the block moves in this time interval.

(c)[2]

The block is stationary at time $t = 0$. On Fig. 3.3, draw a sketch showing how the momentum of the block varies with time $t$ from $t = 0$ to $t = 6.0\,\text{s}$. You do not need to include numerical momentum values.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Momentum change per unit time

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