Two satellites revolve around the Earth. Satellite A has mass mmm and has an orbit of radius rrr. Satellite B has mass 6m6m and an orbit of unknown radius rbrbr b. The forces of gravitational attraction between each satellite and the Earth is the same. Find rbrbr b.

r(b) = 2.45r

Explanation:

Parameters given:

Satellite A

Mass = m

Orbit radius = r

Satellite B

Mass = 6m

Orbit radius = r(b)

Gravitational force between Earth and Satellite A, F(A) is:

F(A) = (G*M*m)/r²

F(A) = GMm/r²

Gravitational force between Earth and Satellite B, F(B) is:

F(B) = (G*M*6m)/r(b)²

F(B) = 6GMm/r(b)²

Since F(A) = F(B),

GMm/r² = 6GMm/r(b)²

=> r(b)² = 6r²

r(b) = 2.45r

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.

i already answered it by 34/s