A student measures the force applied on a box as and the horizontal displacement as

PHYSICS · Subjective · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

A student measures the force applied on a box as

F = (50 \pm 2)\,\text{N}

and the horizontal displacement as

s = (4.0 \pm 0.1)\,\text{m}

. The force is applied at an angle of

30^{\circ}

to the direction of displacement (assume this angle is exact). Calculate the percentage uncertainty in the work done on the box.