A particle travelling along the -axis experiences a horizontal force given by N

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

Problem

A particle travelling along the

x

-axis experiences a horizontal force given by

F(x) = 8 - 2x

N, where

x

is in metres, for

0 \le x \le 6\,\text{m}

. Answer the following: (i) Sketch qualitatively the

F

–

x

graph for the given range of

x

. (ii) Calculate the net work done by the force as the particle moves from

x = 0

x = 6\,\text{m}