Question

The magnitude of the gravitational force experienced by a small spaceship of mass M inside an

inter-galactic dust cloud (assumed to be spherically symmetric but not necessarily uniform) when

it at a distance of r from the center of the cloud is found to be

F(r) = αr +

β

r

.

The density of the dust cloud is (G is Newton’s gravitational constant)

A. 3α

4πGM

1 −

β

3αr

2



B. 3α

4πGM

1 +

β

3αr

2



C. 3α

4πGM

1 +

β

αr

2



D. 3α

4πGM

​

Answer 1

Answer:

don't no ........................................................