A particle of mass moves along the –axis under a force that varies with position…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A particle of mass

1\,\text{kg}

moves along the

x

–axis under a force that varies with position according to

F(x)=3x^{2}\,\text{N}

. The particle starts from rest at

x=0

and is pushed up to

x=2\,\text{m}

. (i) Find the work done by the force during this motion. (ii) Determine the speed of the particle at

x=2\,\text{m}

. State clearly the relation used to obtain the speed.