Apply Vector rules and so FBD's will be required on certain point-mass problems.

Show all work in provided spaces and good luck! 1) Find the gravitational field strength at a height of 3000.0 km above the Earth's surface. (3) 2a) A biologist has 2 brain cells, as shown, separated by 11.0 mm proving there's lots of empty space in there. What is the net gravitational force on a 6.00 mg brain cell placed midway between them? (The third cell was artificially added for pity). (6) FBD required. 4.00 mg 11.0 mm 5.00 mg b) What is the net gravitational field strength on the 6.00 mg cell? (3) 3) Determine the orbital velocity for a satellite around the Earth if it has a period of 5.55 hours. (6) 4) An astronaut drops a rock from a cliff 30.0 m high on the surface of Jupiter. If the mass of Jupiter is 1.90 x 1037 kg and the radius of Jupiter is 7.18 x 107 m, how long will it take the rock to reach the bottom of the cliff? (6)