Answer Happy

A merry-go-round with a a radius of R = 1.86 m and moment ofinertia I = 207 kg-m2 is spinning with an initial angular speed ofω = 1.58 rad/s in the counter clockwise direection when viewed fromabove. A person with mass m = 68 kg and velocity v = 4.6 m/s runson a path tangent to the merry-go-round. Once at the merry-go-roundthe person jumps on and holds on to the rim of themerry-go-round
. 1) What is the magnitude of the initial angular momentum ofthe merry-go-round? kg-m2/s
2) What is the magnitude of the angular momentum of the person 2meters before she jumps on the merry-go-round? kg-m2/s
3) What is the magnitude of the angular momentum of the personjust before she jumps on to the merry-go-round? kg-m2/s
4) What is the angular speed of the merry-go-round after theperson jumps on? rad/s
5) Once the merry-go-round travels at this new angular speed,with what force does the person need to hold on? N
6)merrygoround2 Once the person gets half way around, theydecide to simply let go of the merry-go-round to exit the ride.What is the magnitude of the linear velocity of the person right asthey leave the merry-go-round? m/s
7) What is the angular speed of the merry-go-round after theperson lets go? rad/