Three asteroids have exactly the same amount of mass. The distance from asteroid A to asteroid B is 300 km, the distance from asteroid B to C is 400 km, and the distance from C to A is 100 km. Between which two asteroids would the gravitational force be the largest?

A). Between asteroid A and B.

B). Between asteroid B and C.

C). Between asteroid C and A.

D). The gravitational force between each pair of asteroids would be the same.

Question

Physics

Yuliana Vincent

3 December, 03:37

Three asteroids have exactly the same amount of mass. The distance from asteroid A to asteroid B is 300 km, the distance from asteroid B to C is 400 km, and the distance from C to A is 100 km. Between which two asteroids would the gravitational force be the largest?

A). Between asteroid A and B.

B). Between asteroid B and C.

C). Between asteroid C and A.

D). The gravitational force between each pair of asteroids would be the same.

+3

Answers (1)

Know the Answer?

Aleena Noble · Answer 1

Gravitational force is given by the following formula:

F = GMm/r^2

Where;

F = Gravitational force, G = Gravitational constant, M & m = masses of two bodies which are constant in this case, and r = distance between the masses.

It can be seen that F α 1/r^2.

Therefore, the far the two masses are from each other, the smaller the gravitational force and vice versa.

It is indicated that:

AB = 300 km

BC = 400 km

CA = 100 km

Therefore,

gravitational force will largest between C and A due to smaller distance between them.