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 massm= 223.0kg and radiusr= 3.3 m that freely rotates horizontally without frictionabout its center axis. when the merry-go-round is already spinning at23 rotations per minute, jacob exerts a constant forcefj= 12.3 ntangent to the outer edge of the merry go round in the direction of themerry-go-round’s rotation. at the same time sophia puts her foot ata distancer= 3.1 m from the center, which exerts a constant force offrictionfs= 21.2 n. how long will it take for the merry-go-round tocome to a stop?