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.

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The Earth may be assumed to be an isolated uniform sphere with its mass of 6.0 x 1024 kg
concentrated at its centre.
A satellite 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 106 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.
Transcribed Image Text:The Earth may be assumed to be an isolated uniform sphere with its mass of 6.0 x 1024 kg concentrated at its centre. A satellite 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 106 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.
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