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Q26 A rocket is in orbit, distance R from the centre of the Earth. At this height it has gravitational potential energy (U) equal to -4E Joules. The rocket is then boosted to an orbit where its gravitational energy is -E. (a) Complete the table to show the missing values. Gravitational Orbital kinetic Total energy () potential energy () energy (I) Initial position -4E Final position -E (b) Explain how the gravitational potential energy of the rocket seems to decrease from -4E to -E even though it is boosted to a higher orbit. (c) Justify the change in kinetic energy of the Tocket by deriving the relationship between velocity of an orbiting object and the radius of its orbit.

Q26 A rocket is in orbit, distance R from the centre of the Earth. At this height it has gravitational potential energy (U) equal to -4E Joules. The rocket is then boosted to an orbit where its gravitational energy is -E. (a) Complete the table to show the missing values. Gravitational Orbital kinetic Total energy () potential energy () energy (I) Initial position -4E Final position -E (b) Explain how the gravitational potential energy of the rocket seems to decrease from -4E to -E even though it is boosted to a higher orbit. (c) Justify the change in kinetic energy of the Tocket by deriving the relationship between velocity of an orbiting object and the radius of its orbit.

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Q26 A rocket is in orbit, distance R from the centre of the Earth. At this height it has gravitational potential energy (U) equal to -4E Joules. The rocket is then boosted to an orbit where its gravitational energy is -E. (a) Complete the table to show the missing values. Gravitational Orbital kinetic Total energy () potential energy () energy (J) Initial position -4E Final position -E (b) Explain how the gravitational potential energy of the rocket seems to decrease from -4E to -E even though it is boosted to a higher orbit. (c) Justify the change in kinetic energy of the Tocket by deriving the relationship between velocity of an orbiting object and the radius of its orbit.
Transcribed Image Text:Q26 A rocket is in orbit, distance R from the centre of the Earth. At this height it has gravitational potential energy (U) equal to -4E Joules. The rocket is then boosted to an orbit where its gravitational energy is -E. (a) Complete the table to show the missing values. Gravitational Orbital kinetic Total energy () potential energy () energy (J) Initial position -4E Final position -E (b) Explain how the gravitational potential energy of the rocket seems to decrease from -4E to -E even though it is boosted to a higher orbit. (c) Justify the change in kinetic energy of the Tocket by deriving the relationship between velocity of an orbiting object and the radius of its orbit.
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