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The graph shows how the gravitational eld varies with altitude above the surface of Planet X which had a diameter of 12000km. ' Gravitational field {mfsfs} Q- N c.)- t. 0-. OJ 44 0;. 0:: -'l 9: Altitude ix 1000 km) (a) According to this data what would be the gravitational potential energy of a 200 kg satellite on the launch pad on the surface of the planet? (b) What would be its gravitational potential energy at an altitude of 5000 km? (c) What work would have to be done to lift it from the surface to an altitude of 5000 km? (d) To stay in orbit at 5000 km, the satellite needs orbital velocity as well as the energy required to lift it to that height. The total work needed to do this is 3.622 X 1012]. Calculate its orbital velocity at 5000 km. (e) How much work would needs to be done on this satellite to move it from the surface of the planet to innity