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Anuta_ua [19.1K]
3 years ago
12

Two satellites are in circular orbits around Earth. Satellite A has speed vA. Satellite B has an orbital radius nine times that

of satellite A. What is the speed of Satellite B?
A. vA.9
B. vA/3
C. 3vA
D. 9vA
Physics
1 answer:
zaharov [31]3 years ago
5 0

Answer:

option B

Explanation:

given,

Satellite B has an orbital radius nine times that of satellite A.

R' = 9 R

now, orbital velocity of the satellite A

v_a =\sqrt{\dfrac{GM}{R}}........(1)

now, orbital velocity of satellite B

v_b=\sqrt{\dfrac{GM}{R'}}

v_b=\sqrt{\dfrac{GM}{9R}}

v_b=\dfrac{1}{3}\sqrt{\dfrac{GM}{R}}

from equation 1

v_b=\dfrac{v_a}{3}

hence, the correct answer is option B

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