The Earth may be assumed to be an isolated uniform sphere with its mass of 6.0 x 1024 kg concentrated at its centre. Asatellite of mass 1200kg is in a circular orbit about the Earth in the Earth's gravitational field. The period of the orbit is 94 minutes. (c) Rockets on the satellite are fired so that the satellite enters a different circular orbit that has a period of 150 minutes. The change in the mass of the satellite may be assumed to be negligible. (i) Show that the radius of the new orbit is 9.4 x 10°m. (ii) State, with a reason, whether the gravitational potential energy of the satellite increases or decreases. 3 (iii) Determine the magnitude of the change in the gravitational potential energy of the satellite.

The Earth may be assumed to be an isolated uniform sphere with its mass of 6.0 x 1024 kg concentrated at its centre. Asatellite of mass 1200kg is in a circular orbit about the Earth in the Earth's gravitational field. The period of the orbit is 94 minutes. (c) Rockets on the satellite are fired so that the satellite enters a different circular orbit that has a period of 150 minutes. The change in the mass of the satellite may be assumed to be negligible. (i) Show that the radius of the new orbit is 9.4 x 10°m. (ii) State, with a reason, whether the gravitational potential energy of the satellite increases or decreases. 3 (iii) Determine the magnitude of the change in the gravitational potential energy of the satellite.