A warehouse worker has to drag a crate across the floor using a rope

PHYSICS · Multi-part · CBSE · Physics · Work and Energy · Work and Energy

Problem

A warehouse worker has to drag a crate across the floor using a rope. The rope must not make an angle greater than

45^{\circ}

with the horizontal, and the worker can pull steadily over the entire distance of

8\,\text{m}

. (i) If the worker applies a constant force of

50\,\text{N}

at an angle of

45^{\circ}

, find the work done on the crate. State whether this meets a target of

300\,\text{J}

. (ii) Within the

45^{\circ}

limit, calculate the minimum constant force the worker must apply to achieve exactly

300\,\text{J}

of work over the

8\,\text{m}

displacement.