A uniform sphere of mass 200 g rols withiout slipping on a plane surface so that its centre mioves at a speed of 2.00 cm/s. Find its kinetic energy.

Explanation

As the sphere rolls without slipping on the plane surface , its angular speed the centre is `omega = (v_(cm))/r` . The kinetic energy is
`K = 1/2 I_(cm) omega^(2) +1/2 Mv_(cm)^(2) =1/2 .2/5 Mr^(2)omega^(2) +1/2 Mv_(cm)^(2) = 1/5 Mv_(cm)^(2) +1/2 Mv_(cm)^(2) =7/10 Mv_(cm)^(2)`
` 7/10 (0.200 kg) (0.02 m//s)^(2) = 5.6 xx10^(-5) J `