The magnitude of a variable force along the -axis is given by the following…

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

The magnitude of a variable force along the

x

-axis is given by the following description: •

0\le x\le3\,\text{m}

F=2x\,\text{N}

•

3\le x\le4\,\text{m}

F=10\,\text{N}

(constant) •

4\le x\le6\,\text{m}

F

decreases linearly from

10\,\text{N}

x=4\,\text{m}

0\,\text{N}

x=6\,\text{m}

Determine the total work done from

x=0

x=6\,\text{m}

. (a)

39\,\text{J}

(b)

19\,\text{J}

(c)

29\,\text{J}

(d)

26\,\text{J}