Please solve all the following questions FULLY! and use FBD or draw before solving for all question. Thanks hero.

Question 1: Consider three masses as shown below. If my=20.0 kg, ma=ma=15.0 kg. Calculate the following: A. the net gravitational force experienced by mi due to ma and ma. B. the total gravitational energy in this system. 20 cmi 10 em Question 2: Show from Newton's Law of Motion that the gravitational strength g on the surface of any planet with mass M and radius R is given as: g = p2, show that the rate of change of the gravitational field is given by dg =-2- GM R'Question 3: NASA would like to send a satellite up into space, it is designed so that it will orbit the Earth with a period of 12 hours. Determine: A. the height of this satellite should be located above the Earth surface B. the orbital speed of this satellite. C. the velocity required to send this satellite up to this location. Question 4: Galileo discovered one of Jupiter's Moons - Ganymede. If the radius of rotation for Ganymede is 1.07x106 km, A. calculate the period of Ganymede around Jupiter. B. calculate the Kepler's constant for the Jupiter system and then verify if Io would belong to it if the radius of rotation of Io is 421,800 km and the period is 3.53 days. C. a comet with mass 8.00x1022 kg with velocity of 250 km/s strikes Ganymede with mass of 14.8x1022 kg. If the two combined together after they collide, determine the new period of Ganymede after the collision