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What is the effect on the gravitational force if?
a. Both masses are multipled by 3
b. The distance between centers is X4
c. One mass is X2 and the other X3
d. The distance is divided by 2
e. The distance is divided by 2 and one mass X3

Sagot :

The effect on the gravitational force if:

a. Both masses are multipled by 3:  the gravitational force becomes 9 times.

b. The distance between centers is X4:  the gravitational force gets reduced by 16 times.

c. One mass is X2 and the other X3 :  the gravitational force becomes 6 times.

d. The distance is divided by 2:  the gravitational force becomes 4 times.

e. The distance is divided by 2 and one mass X3:  the gravitational force becomes 12 times.

We know that the gravitational force between two objects is given by,

F = Gm1m2 / r²                  ...........(1)

We need to find the effect on the gravitational force if

a.  Both masses are multipled by 3

F1 = G(3m1)(3m2) / r²

F1 = 9 Gm1m2 / r²

F1 = 9F                      ...........(from equation (1))

Thus the gravitational force becomes 9 times.

b. The distance between centers is X4

F2 =  Gm1m2 / (4r)²

F2 =  Gm1m2 / 16r²

F2 = 1/16 ( Gm1m2 / r²)

F2 = 1/16 * F                     ...........(from equation (1))

Thus the gravitational force gets reduced by 16 times.

c. One mass is X2 and the other X3

F3 = G(2m1)(3m2) / r²

F3 = 6 * Gm1m2 / r²

F3 = 6F                     ...........(from equation (1))

Thus the gravitational force becomes 6 times.

d. The distance is divided by 2

F4 =  Gm1m2 / (r/2)²

F4 =  Gm1m2 / (r²/4)

F4 = 4 ( Gm1m2 / r²)

F4 = 4F                     ...........(from equation (1))

Thus the gravitational force becomes 4 times.

e. The distance is divided by 2 and one mass X3

F5 =  G(3m1)m2 / (r/2)²

F2 =  3Gm1m2 / (r²/4)

F2 = (3*4) ( Gm1m2 / r²)

F2 = 12 F                     ...........(from equation (1))

Thus the gravitational force becomes 12 times.

Therefore, The effect on the gravitational force if:

a. the gravitational force becomes 9 times.

b. the gravitational force gets reduced by 16 times.

c. the gravitational force becomes 6 times.

d. the gravitational force becomes 4 times.

e. the gravitational force becomes 12 times.

Learn more about equation here:

https://brainly.com/question/649785

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