The mass of the Moon is Mm = 7.34 * 10^22 kg and its radius is Rm = 1.74 * 10^6 m.) b) A lunar landing module has a mass of 3000 kg; What is the force of gravity acting on the module when it is 3500 km from the surface of the moon? What was its weight on the Moon? c) What is the gravitation potential energy of the module at the 3500 km point? d) If the lander travels via the gravitational force from a static resting point 3500 km from the moon’s surface; what is the module’s potential and kinetic energy when it is 5,000 m from the lunar surface? e) What is the required exit velocity the module would need to achieve if it were to leave the lunar surface and escape the Moon’s gravitational field?

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Chapter1: Units, Trigonometry. And Vectors
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(a) Find the acceleration due to gravity on the surface of the Moon. (Note: The mass of the Moon is Mm = 7.34 * 10^22 kg and its radius is Rm = 1.74 * 10^6 m.) b) A lunar landing module has a mass of 3000 kg; What is the force of gravity acting on the module when it is 3500 km from the surface of the moon? What was its weight on the Moon? c) What is the gravitation potential energy of the module at the 3500 km point? d) If the lander travels via the gravitational force from a static resting point 3500 km from the moon’s surface; what is the module’s potential and kinetic energy when it is 5,000 m from the lunar surface? e) What is the required exit velocity the module would need to achieve if it were to leave the lunar surface and escape the Moon’s gravitational field?
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