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

Momentum and Newton's laws of motion — practice question

As shown in Fig. 3.1, a block is dragged in a straight line across a rough horizontal surface by a force X that varies. Air resistance is negligible. Assume that the surface exerts a constant frictional force of magnitude 2.0\,\text{N} on the block. Fig. 3.2 shows how the block’s momentum p varies with time t.
(a)[1]

State Newton’s second law of motion in terms of momentum.

(b(i))[1]

From Fig. 3.2, determine the magnitude of the resultant force acting on the block at time $t = 2.0\,\text{s}$.

(b(ii))[1]

From Fig. 3.2, determine the magnitude of force $X$ on the block at time $t = 2.0\,\text{s}$.

(c)[3]

Using Fig. 3.3, sketch a graph showing how force $X$ varies with time $t$ from $t = 0$ to $t = 6.0\,\text{s}$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: (resultant) force is proportional to the rate at which momentum changes

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