1)A projectile is launched from Earth’s surface at 7.2 km/s.  At the top of its trajectory its speed is 1.1 km/s.   What is its height (in km) at this time?

2)The 4.9 m long ropes of a swing make an initial angle of 12.2 degrees with respect to the vertical at the highest point in the motion of a 40 kg mass child, Alice.  A second child, Bobby, pushes Alice each time she reaches him, at her highest point, doing 32.6 J of work.  What angle (in degrees) will Alice's swing ropes make after 5 swings?

3)

In this three part question worth a total of 20 marks, you will determine the energy required to launch a 700.0 kg satellite from Cape Canaveral (28.5 degrees latitude) into a geosynchronous orbit above the Earth.

PART 1: (3 marks)

A geosynchronous orbit has a period of about 24 hours, so that a satellite places there will appear motionless (hovering in the sky) to an observer on the surface of the Earth.  A geosynchronous orbit has a radius of Answer

 km

PART 2: (8 marks)

On the launchpad, the launch rocket has an initial velocity of Answer

 m/s.  (NOTE: this answer is not zero!)

PART 3: (9 marks)

The energy required to place the satellite in this orbit is Answer

 MJ

(Note-the answer should be provided in MegaJoules)