A landing craft with mass M is in a circular orbit a distance d above the surface of a planet. The period of the orbit is T. The astronauts in the landing craft measure the diameter of the planet to be D. The landing craft sets down at the north pole of the planet. (a) What is the weight of a person of mass m as they step out onto the plant's surface? (b) Suppose days on this planet last t seconds (i.e. the planet rotates about its axis once every t seconds). Write an expression for the astronaut's perceived weight at the equator in terms of their weight at the north pole. (Hint: think about centripetal force)
A landing craft with mass M is in a circular orbit a distance d above the surface of a planet. The period of the orbit is T. The astronauts in the landing craft measure the diameter of the planet to be D. The landing craft sets down at the north pole of the planet. (a) What is the weight of a person of mass m as they step out onto the plant's surface? (b) Suppose days on this planet last t seconds (i.e. the planet rotates about its axis once every t seconds). Write an expression for the astronaut's perceived weight at the equator in terms of their weight at the north pole. (Hint: think about centripetal force)
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