A cockroach of mass $m$ lies on the rim of a uniform disk of mass $3\mathrm{.}00m$ that can rotate freely about its center like a merry$-$go$-$round. Initially the cockroach and disk rotate together with an angular velocity of $0\mathrm{.}398ra\frac{d}{s}.$ Then the cockroach walks halfway to the center of the disk.

$($a$)$ What then is the angular velocity of the cockroach$-$disk system?

$($b$)$ What is the ratio $\frac{K}{K_0}$ of the new kinetic energy of the system to its initial kinetic energy?

$($a$)=$

$($b$)\frac{K}{K_0}=$

eTextbook and Media

Hint

GO Tutorial

Save for Later

Attempts: $0$ of $4$ used