Physics

Problem

A particle of mass

0.5\,\text{kg}

moves along the

x

-axis under a force that varies with position as follows: (i) For

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

F = 3x\,\text{N}

. (ii) For

2\,\text{m} < x \le 4\,\text{m}

F = 6 - 3\bigl(x-2\bigr)\,\text{N}

.\nThe particle is released from rest at

x = 0

. Calculate its speed when it reaches

x = 4\,\text{m}