The path of a very small satellite S in an elliptical orbit around a massive sph

Question

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 answers for A-G are True, False, Greater than, Less than, or Equal to

A) The angular momentum ofSvaries with position
B)The magnitude of the force onSat '5' is ... at '1'
C)For the orbit ofSshown,Pcould be located at X.
D)Shas a minimum speed at '4'
E)The total PE + KE at '2' is .... at '8'.
F)The KE ofSvaries with position.

G)The speed atSat position '8' is ... at '2'.

Explanation / Answer

A) the total mechanical energy (KE+PE) is always the same B) no, as the satellite's distance from the planet varies,its speed varies (and its PE and KE change accordingly) C)ppos 1 and pos 7 look to be the same distance from the planet, if so, the speeds are the same D)the sat is farther from the planet at 5, therefore experiencing less force, thus the accel is less E) yes, the planet could be at either focus of the ellipse F) I am assuming the planet is located to the left on this image...the greatest speed is at 10 if this assumption is correct; but if not, the greatest speed is at 4 G) no, accel of the satellite does not depend on its mass:

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