Question

Total kinetic energy of a rolling solid spher of mass m with velocity is
A. `(1)/(2)mv^(2)`
B. `(1)/(5)mv^(2)`
C. `(7)/(10)mv^(2)`
D. `(7)/(5)mv^(2)`

Answer 1

Correct Answer - C
`KE_("roll")=(1)/(2)mv^(2)[1+K^(2)//R^(2)]`
`= (1)/(2)mv^(2)[1+(2)/(5)]`
`= (7)/(10)mv^(2)`.