Mathematics 9709 · AS & A Level · Newton's laws of motion

Newton's laws of motion — practice question

A train with mass $400\,000\text{ kg}$ is travelling along a straight horizontal track. The engine provides a constant power of $1500\text{ kW}$, and the force resisting the train’s motion is $30\,000\text{ N}$.
(i)[4]

Determine the acceleration of the train when its speed is $37.5\text{ m s}^{-1}$.

(ii)[2]

Determine the steady speed at which the train can travel.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Driving force obtained as $\dfrac{1\,500\,000}{37.5} = 40\,000$.

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