Two children

$($m $=25\mathrm{.}0$ kg

each$)$ stand opposite each other on the edge of a merry$-$go$-$round. The merry$-$go$-$round, which has a mass of $1\mathrm{.}72102$ kg and a radius of $1\mathrm{.}4$ m$,$ is spinning at a constant rate of $0\mathrm{.}42$ rev$/$s$.$ Treat the two children and the merry$-$go$-$round as a system.

$($a$)$ Calculate the angular momentum of the system, treating each child as a particle. $($Give the magnitude.$)$

Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. kg $$ m$2/$s

$($b$)$ Calculate the total kinetic energy of the system.

J

$($c$)$ Both children walk half the distance toward the center of the merry$-$go$-$round. Calculate the final angular speed of the system.

rad$/$s