A particle of mass starts from rest at the origin and moves along the positive -axis…

PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A particle of mass

0.5\,\text{kg}

starts from rest at the origin and moves along the positive

x

-axis under a horizontal force given by

F(x)=12\sqrt{x}\;\text{N}

, where

x

is in metres. The motion is along the line of the force. When the particle reaches

x=4\,\text{m}

, answer the following. (a) Calculate the speed of the particle at

x=4\,\text{m}

. (b) Determine the time taken to travel from

x=0

x=4\,\text{m}

. (c) Hence find the average power delivered by the force during this motion.