For a particle the potential energy varies with position as (with in metres)

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

Problem

For a

0.5\,\text{kg}

particle the potential energy varies with position as

V(x)=4x^{2}\,\text{J}

(with

x

in metres). If the particle is released from rest at

x=0.25\,\text{m}

, what is the magnitude of its initial acceleration? (a)

8\,\text{m\,s}^{-2}

(b)

4\,\text{m\,s}^{-2}

(c)

2\,\text{m\,s}^{-2}

(d)

16\,\text{m\,s}^{-2}