Question

3. a) If the distance between two objects increases by a factor of 5 (5),

does the gravitational force between the objects increase or decrease?
By what factor does the gravitational force between the objects
change?
b) If the mass of one object decreases by a factor of 3 (*1/3), does the
gravitational force between them increase or decrease? By what factor
does the gravitational force between the objects change?

Answer 1

The gravitational force between two objects decreases if the distance between them increases by a factor of 5 and the gravitational force decreases if the mass of one object decreases by a factor of 3.

Step-by-step explanation:

(a) If the distance between two objects increases by a factor of 5, the gravitational force between them decreases by a factor of 25.

(b) If the mass of one object decreases by a factor of 3, the gravitational force between the two objects decreases by a factor of 9.

In both cases, the gravitational force between the objects decreases when the relevant factor increases.

Answer 2

Answer for A

Step-by-step explanation:

F1=GmM/r1^2

If r2 becomes r2=5r

F2=GmM/(25r^2)

Multiply with 25 gives to maintain the same force

I.e.,25F2=F1

F2=G(25m)M/25r^2=F1

By the factor 25 would change to increase to same.