A star of mass and radius explodes radially symmetrically

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

A star of mass

M

and radius

R

explodes radially symmetrically. The star is left with a mass equal to

\frac{M}{10}

and a radius equal to

\frac{R}{50}

. Calculate the ratio of the final to the initial angular velocity of the star. (

I = \frac{2}{5}MR^2

)