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Challenging Physics Problems for Practice: Gravitation

1.

A length of wire of mass M is bent into an arc of a circle of radius R, subtending an angle of ø at the center. A particle of mass m is placed at the center. What force does the wire apply on the particle?

2.

A comet moves towards the sun with a velocity u (when far from the sun) and aiming parameter l. The aiming parameter l is the arm of the vector u relative to the center of the sun (labeled C in the diagram). Find the minimum distance r' of this body from the sun. The mass of the sun can be taken as Ms.

3.

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?

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