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?

(a) F = 49.05 N

(b) w = 4.19 rad/sec

(c) 4.19*r m/s

(d) Fc = 494.05 N

Explanation:

see the attached file for explanation.

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: