A body is situated on the surface of the earth becomes weightless at equator when the rotational kinetic energy of the earth reaches a critical value ' K '. The value of K is given by [ g =

Question

A body is situated on the surface of the earth becomes weightless at equator when the rotational kinetic energy of the earth reaches a critical value ' K '. The value of K is given by [ g = gravitational acceleration on earth's surface, M = mass of the earth and R = radius of the earth]

TestHub · Accepted Answer

A body will become weightless at equator if R ω 2 = g or ω 2 = R g ​ Kinetic energy of the earth, K = 2 1 ​ I ω 2 For a solid sphere, I = 5 2 ​ MR 2 (M is mass of the earth) ∴ K = 2 1 ​ × 5 2 ​ MR 2 × R g ​ = 5 1 ​ MgR

Physics - Rotation Question with Solution | TestHub

Options:

Doubts & Discussion