The 150-lb car of an amusement park ride is connected to a rotating telescopic boom. Whe...

The 150-lb car of an amusement park ride is connected to a rotating telescopic boom. When r = 15 ft, the car is moving on a horizontal circular path with a speed of 30 ft/s. If the boom is shortened at a rate of 3 ft/s, determine the speed of the car when r = 10 ft. Also, find the work done by the axial force F along the boom. Neglect the size of the car and the mass of the boom.