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? |
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2. |
A satellite of mass Ms is orbiting the Earth in a circular orbit of radius Rs. Due to a critical failure in its solar panels, it starts losing power at a constant rate C. If Me and Re denote the mass and radius of the Earth, then find the time it takes the satellite to fall to the surface of the Earth. |
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3. |
A planet is moving around the sun (mass Ms) in an elliptical orbit. When it is at a distance ro from the sun, its velocity is vo and the angle between the radius vecor ro and the velocity vector vo is equal to ø. Find the maximum and the minimum distance that will separate this planet from the sun. |
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