A uniform sphere of mass 200 g rolls without slipping on a plane surface so that its centre moves at a speed of 2.00 cm/s. Find its kinetic energy.

Explanation

As the sphere rolls without slipping on the plane surface, it sangular speed about the center is `omega=(v_(cm))/r`. The kinetic energy is
`K=1/2l_(cm)omega^2+1/2Mv^2_(cm)`
`=1/2.2/5mr^2omega^2+1/2Mv^2_(cm)`
`=1/5Mv^2_(cm)+1/2Mv^2_(cm)=7/10v_(cm)^2`
`7/10(0.200kg)(0.02m/s)62=5.6xx10^-5J`.