Question

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

Answer 1

The speed of satellite B is nine times the speed of satellite A due to their different orbital radii.

Step-by-step explanation:

When a satellite is in a circular orbit, its speed depends on the radius of the orbit. The speed is given by the formula:

v = √(GM/r)

Where:

v is the speed of the satellite

G is the gravitational constant, approximately 6.67430 × 10-11 m3 kg-1 s-2

M is the mass of the Earth, approximately 5.972 × 1024 kg

r is the orbital radius of the satellite

Using this formula, we can calculate the speed of satellite A:

vA = √(GM/rA)

The orbital radius of satellite B is nine times that of satellite A, so:

rB = 9 × rA

Substituting this value into the formula, we can calculate the speed of satellite B:

vB = √(GM/rB)

Therefore, the speed of satellite B is nine times the speed of satellite A.

Answer 2

option B

Step-by-step explanation:

given,

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

R' = 9 R

now, orbital velocity of the satellite A

........(1)

now, orbital velocity of satellite B

from equation 1

hence, the correct answer is option B