Question

According to Newton, doubling the distance between two interacting objects a. divides by 2 the gravitational force between them b. multiplies by 2 the gravitational force between them c. divides by 4 the gravitational force between them d. multiplies by 4 the gravitational forcehetween them

Answer 1

c. divides by 4 the gravitational force between them

Step-by-step explanation:

Newton's law of gravity says:

F1 = G(m1*m2)/r^2

where G is the gravitational constant, m1 and m2 are the masses of objects 1 and 2, and r is the distance between the two masses.

Doubling the distance would result in:

The new distance would be = 2r

F2 = G(m1m2)/(2r)^2

F2 = G(m1m2)/4r^2

F2 = (1/4)(G(m1m2)/r^2)

F2 = (1/4)F1

The new force, F2, at twice the distance is 1/4 that of the original force, F1.