The year is 2279 CE and you and your friends are planning a trip to Mars Colony Sagan on the amazing space elevator! One of your friends has a yo-yo with a 0.375kg mass at the end and a 0.482m long string. She holds the bob so the string is horizontal and taught, then lets it swing back and forth. The elevator is approaching Mars and decelerating at a rate of 4m/s2. The gravitational field strength on the surface of Mars is 0.38 that of Earth.

(a) Assuming the yoyo bob is then placed on a spring which gives it the same angular frequency, what is the spring constant of the spring??

(b) What is the angular velocity of the yoyo bob?

(c) What is the maximum velocity of the yoyo bob?