Physics 5054 · O Level · Energy, work and power

Energy, work and power — practice question

A trolley with mass 0.20 kg is initially at rest on a surface with no friction. A block of wood is fixed to the trolley. The block of wood has volume 0.0012 m$^3$, and the wood has density 650 kg m$^{-3}$.
(a)[2]

Determine the total mass of the trolley and block.

(b(i))[2]

In Fig. 1.1, a student connects a spring with spring constant 14 N m$^{-1}$ to the front of the trolley. He holds the trolley and block, stretches the spring, and then lets them go. The trolley and block accelerate from rest. While the trolley and block speed up, the student keeps the spring extension at 0.035 m. Calculate the force exerted by the spring on the trolley.

(b(ii))[2]

The spring pulls the trolley and block through a distance of 0.86 m. Calculate the work done on the trolley.

(b(iii))[2]

Explain why the power passed to the trolley and block increases as the speed increases.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct application of m = ρV or 650 \times 0.0012 or 0.78

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