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The paths of two small satellites, X and Y, of equal mass of 5.00 kg each, are s

ID: 1501827 • Letter: T

Question

The paths of two small satellites, X and Y, of equal mass of 5.00 kg each, are shown below. They orbit around a massive star, as illustrated, with M = 5.20×1029 kg. The orbits are in the plane of the paper and are drawn to scale.

In the statements below KE is kinetic energy, PE is potential energy, and |L| is magnitude of the angular momentum.  

greater than less than equal to  The PE of X at w is .... the PE of Y at c
greater than less than equal to  At s, the KE of X is .... that of Y.
greater than less than equal to  The speed of X at a is .... that at p
greater than less than equal to  At s, the PE of X is .... that of Y.
greater than less than equal to  The |L| of X at m is .... that at a.

See the text on sattelite orbits and energy. Note that PE is defined to be zero very far (infinity) from the star.

Explanation / Answer

1)The PE of X at w is greater the PE of Y at c


2)At s, the KE of X is greater that of Y.
3)The speed of X at a is less that at p

4)The PE of X at s is greater the PE of Y at s
5)The |L| of Y at m is equal that at a.

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