| 1. |
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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| 2. |
A rocket is fired vertically with a velocity vo. Derive an expression for its velocity v at a height h, given that the radius of earth is R. |
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| 3. |
A meteorite of mass m collides with a satellite of mass 10 m. The satellite is orbiting a planet in a circular path of radius R. Due to the collision, the meteorite sticks to the satellite and the satellite goes into an orbit whose minimum distance from the planet is R/2. If the mass of the planet is M, what is the velocity of the meteorite before the collision? |
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