| 1. |
A small asteroid starts falling onto the sun from a distance equal to the radius of the Earth's orbit. Initially the body starts off with zero velocity. Using Kepler's law, find in terms of the Earth's orbital time period T how long the rock will take to fall into the sun. |
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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 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.
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