| 1. |
 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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| 2. |
 Equal masses m hang from strings of different lengths on a balance at the surface of the Earth as shown in the figure. The strings have negligible mass and differ in length by h. Find the error in weighing due to the difference in heights of the masses from the surface. Given that the density of the Earth is  .
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| 3. |
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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