Jacob and Sophia are playing with a merry-go-round on a playground.
The merry-go-round can be modeled as a flat disk with mass M = 223.0
kg and radius R = 3.3 m that freely rotates horizontally without friction
about its center axis. When the merry-go-round is already spinning at
23 rotations per minute, Jacob exerts a constant force FJ = 12.3 N
tangent to the outer edge of the merry go round in the direction of the
merry-go-round’s rotation. At the same time Sophia puts her foot at
a distance r = 3.1 m from the center, which exerts a constant force of
friction FS = 21.2 N. How long will it take for the merry-go-round to
come to a stop?