A particle of mass moves only in the region under the potential energy (in joules

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A particle of mass

1\,\text{kg}

moves only in the region

x>0

under the potential energy

V(x)=\dfrac{8}{x^{2}}+2x^{2}

(in joules,

x

in metres). Its total mechanical energy is

20\,\text{J}

. Which option correctly gives all the positive turning points of the motion? (a) A single turning point at

x\approx0.65\,\text{m}

(b) Two turning points at

x\approx1.0\,\text{m}

and

x\approx2.0\,\text{m}

x\approx0.65\,\text{m}

and

x\approx3.1\,\text{m}

(d) A single turning point at

x\approx3.1\,\text{m}