A 15 year old girl is riding on a playground merry-go-round, being pushed around by her friend, similar to that pictured above. The rider has a mass of 50.0 kg and a two handed grip strength of 445 N. The coefficient of friction between her and the merry-go-round is 0.100. Her friend spins her at a rate of 40 rev/min.
a. What is the frictional force, f, acting on the girl?
b. What is the angular velocity, ω, in radians/second?
c. What is the tangential velocity, vT of the girl?
d. What is the total centripetal force, she needs to exert to not fly off of the merry-go-round?
e. Given the frictional force and her grip strength, is the girl able to stay on the spinning merry-go-round?
d. What is the total centripetal force, she needs to exert to not fly off of the merry-go-round?