A hollow sphere of mass `m` starting from rest rolls without slipping, on an inclined plane of inclination What is the total energy of the sphere after `10^(-5)s` if after `10^(-5) is v`?

Options

A. `5//6mv^(2)`
B. `2//3mv^(2)`
C. `10^-5mv^(2)`
D. `mv^(2)//10^(-5)`

Answer

A

Explanation

Energy `=1/2mv^(2)+1/2Iomega^(2)`
`=1/2mv^(2)+1/2(2/3mr^(2))(v^(2))/(r^(2))=1/2mv^(2)+1/3mv^(2)=(5mv^(2))/6`