Question

Object A attracts object B with a gravitational force of 10 newtons from a given distance. If the distance between the two objects is doubled, what is the changed force of attraction between them?

A. 2.5 newtons
B. 5 newtons
C. 20 newtons
D. 100 newtons

Answer 1

2.5
(Because formula has r squared, or 2 times 2 or 4)
So 10:4=2.5

Answer 2

By definition, the gravitational force is given by:

`F = G((m1m2)/(r^2))`

Where,

G: gravitational constant

m1: mass of object 1

m2: mass of object 2

r: distance between objects:

We know that the force is equal to 10N:

`G((m1m2)/(r^2)) = 10`

If the distance is double we have:

`F = G((m1m2)/((2r)^2)) = G((m1m2)/(4r^2)) = (1)/(4)G((m1m2)/(r^2))`

`(1)/(4)(10) = 2.5`

Therefore, the new force is:

2.5 newtons

Answer:

the changed force of attraction between them is:

A. 2.5 newtons