Question

An object is rolling without slipping on a horizontal surface and its rotational kinetic energy is two-thirds of translational kinetic energy. The body is ______.

Options

• disc

• solid sphere

• hollow cylinder

• spherical shell

Answer 1

An object is rolling without slipping on a horizontal surface and its rotational kinetic energy is two-thirds of translational kinetic energy. The body is spherical shell.

Explanation:

Rotational kinetic energy = `2/3` translational kinetic energy ...(given)

`1/2 "mv"^2 ("K"^2/"R"^2) = 2/3 xx 1/2 "mv"^2`

`"K"^2/"R"^2 = 2/3` = Hollow sphere or spherical shell