A body of mass slides on a smooth horizontal surface along the direction

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Work Energy and Power · Work Energy and Power

Problem

A body of mass

2.0\,\text{kg}

slides on a smooth horizontal surface along the

+x

direction. The horizontal force acting on it varies with position according to

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

, where

x

is in metres. (a) Calculate the work done by the force as the body moves from

x=0.50\,\text{m}

x=2.00\,\text{m}

. (b) If the body starts from rest at

x=0.50\,\text{m}

, determine its speed when it reaches

x=2.00\,\text{m}