Q204 · Practice questionSimple familiar1 mark
QUESTION 204
Two satellites, of masses and , follow the same circular orbital radius around a planet of mass . Ignore their influence on the planet and each other. How does their orbital speed compare?
(A)
The heavier satellite is three times faster.
(B)
The heavier satellite is slower by a factor of three.
(C)
The heavier satellite is faster by a factor of .
(D)
Their orbital speeds are equal.
WORKED SOLUTION
1 markAnswer D
ANSWER
D. Their orbital speeds are equal.
Worked solution
Equating to cancels satellite mass, giving for both. The heavier satellite experiences more force but has proportionally more inertia.
Equivalent physically justified methods and consistent equivalent units accepted.
Displayed decimals are model answers; accept appropriate significant figures and consistent rounding from stated constants.
Select D.
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