Challenging Problems in College and University Physics: Gravitation

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Challenging Physics Problems for Practice: Gravitation

1.	Assume the Earth to be a uniform sphere of mass M and radius R. Find the pressure P inside the sphere caused by the gravitational compression as a function of r, the distance from the center.

2.	A binary system of stars consists of two stars moving around the center of inertia of the system due to gravitation. What is the distance between the stars if the mass of the whole system is m and the time period of revolution is T?

3.	A body is thrown vertically upwards with a velocity v_o at the north pole. Neglecting air drag, find the height to which the body will rise in terms of the Earth's radius R, the gravitational acceleration g and v_o.

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