A school playground has a carousel, which is simply a circular platform that can rotate around its center axis with negligible friction.$$ This carousel has radius $=15$ m and rotational inertia $=120$ kg$$m$2.$ Suppose you are standing beside the carousel which is already spinning at $=0\mathrm{.}50$ revolutions per second, and then you suddenly sit on it$,$ at the outer edge.$$ Your mass is $=100$ kg$.$ Calculate the new angular speed. Identify all of the true statements.

Angular momentum is conserved in all physics problems.

Angular momentum is conserved in this problem because there is no friction.

Angular momentum is conserved in this problem because there is no friction and because you sit suddenly.

Angular momentum is not conserved in this problem.

None of the above.