True, False, Greater than, Less Than, Equal To The path of a very small satellit

Question

True, False, Greater than, Less Than, Equal To

The path of a very small satellite S in an elliptical orbit around a massive spherical planet P is shown in the figure. The distance from 3 to 4 is the same as from 4 to 5, 9 to 10, and 10 to 11. The angular momentum of S is constant The magnitude of the force on S at '5' is... at '1' S has a minimum speed at '4' The PE of S is constant. The total PE + KE at '2' is.... at '6'. For the orbit of S shown, P could be located at X. The speed at S at position '1' is... at '7'.

Explanation / Answer

1. True: The angular momentum of S is constant.

2. The magnitude of force on S at '5' is less than at '1'.

3. False:S has a minimum speed at '4'.

4. TRUE:The PE of S varies with position, depends on R.

5. The total PE+KE at '2' is equal to that at '6'.

6. True: For the orbit of S shown, P could be located at X.

7. The speed of S at '1' is same as that at '7'

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