A particle of mass moves along the -axis under the action of a force
PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power
Problem
A particle of mass m moves along the x-axis under the action of a force F(x)=−ax2, where a is a positive constant.
(i) Show whether or not this force is conservative.
(ii) Taking the potential energy to be zero at x=0, obtain an expression for the potential energy U(x) for the particle.
(iii) If the particle is released from rest at x=x0, derive an expression for its speed v when it reaches a general position x(0<x<x0).