A cart moves along a straight track under a force that varies with position as…

PHYSICS · Single correct · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

1.5\,\text{kg}

cart moves along a straight track under a force that varies with position as follows:

F = 20x\,\text{N}

for

0 \le x \le 1\,\text{m}

F = 30 - 10x\,\text{N}

for

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

The cart starts from rest at

x = 0

. What is its speed when it reaches

x = 2\,\text{m}

? (a)

8.0\,\text{m s}^{-1}

(b)

5.8\,\text{m s}^{-1}

(c)

4.0\,\text{m s}^{-1}

(d)

6.8\,\text{m s}^{-1}