Suppose you are standing on a set of scales in a lift that is descending at constant speed in a mine shaft located on the equator. Model the earth as a homogeneous sphere.(a) Show that the force on you due to the earth’s gravity is proportional to your distance from the centre of the planet.(b) Assume that the mine shaft is vertical and do not neglect the earth’s rotational motion. Show that the reading on the scales is proportional to your distance from the centre of the planet. Please explain what is M(r)
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