The force acting on a particle moving along the -axis is given by for and for .

PHYSICS · Multi-part · AP · Physics C: Mechanics · Work Energy and Power · Work Energy and Power

Problem

The force acting on a particle moving along the

x

-axis is given by

F(x) = 4x\,\text{N}

for

0 \le x \le 2\,\text{m}

and

F(x) = 8 - 2x\,\text{N}

for

2\,\text{m} < x \le 5\,\text{m}

. (i) Sketch qualitatively the

F

–

x

graph for

0

5\,\text{m}

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

x = 0

x = 5\,\text{m}