Physics 9702 · AS & A Level · Energy conservation

Energy conservation — practice question

(a)[1]

State what Hooke’s law says.

(b(i))[2]

The spring is compressed by $4.0\,\text{cm}$. The block has a mass of $0.025\,\text{kg}$. Calculate the spring constant of the spring.

(b(ii))[2]

Show that the work done in compressing the spring by $4.0\,\text{cm}$ is $0.48\,\text{J}$.

(b(iii)(1))[2]

The block is then released and speeds up along the tube as the spring returns to its original length. It emerges from the end of the tube with a speed of $6.0\,\text{m s}^{-1}$. Calculate the kinetic energy of the block as it leaves the end of the tube.

(b(iii)(2))[3]

Assume that the spring has negligible kinetic energy when the block leaves the tube. Determine the average resistive force opposing the block as it travels along the tube.

(b(iv))[2]

Determine the efficiency of the transfer from elastic potential energy in the spring to the block’s kinetic energy.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: force/load is proportional to extension/compression within limit

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