1. ROCKET TO CIRCULAR ORBIT: When a rocket is launched its engines provide a constant upward force of 61000 for 600 . The mass of the rocket is 5800 kg.

a) What is the rocket's height after 600 ?

b) What is the maximum height reached by the rocket?

c) When the rocket reaches its maximum height, it activates booster rockets which put it in a circular orbit with constant speed || = 1165 /. What is the period of this orbit?

d) Is this orbit stable - i.e., will the rocket continue to undergo uniform circular motion at this height and speed? If yes, demonstrate why. If no, describe the motion of the unstable orbit.