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Lunar Prospector was a space probe that orbited the Moon.Table 1 shows data about the Moon and Lunar Prospector.

Lunar Prospector had an initial orbital radius of 1.84 × 106 m. Calculate the acceleration of Lunar Prospector in this orbit. Calculate the orbital period of Lunar Prospector in this orbit. Lunar Prospector was moved to a different orbit where its gravitational potential energy (GPE) was -3.47 × 108 J. Calculate the height above the Moon's surface of this different orbit. 4The speed of Lunar Prospector in this orbit was 1.66 km s¹. Lunar Prospector left orbit and crashed onto the surface of the Moon. Calculate the kinetic energy of Lunar Prospector when it hit the surface of the Moon.Assume that the contribution to the kinetic energy from Lunar Prospector's engineswas negligible. There are variations in the density of the material of the surface of the Moon.Measurements of Lunar Prospector in orbit were used to detect these variations. At one point in its orbit, Lunar Prospector passed over a region where the density of the surface was greater than average. Suggest how this affected the centripetal acceleration of Lunar Prospector.

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