Question

if separation between two particles is doubled, the gravitational force between the particles becomes half the initial force.


state whether it is true or false with explaination.

Answer 1

Using the Universal Gravitational Equation:

Fgrav = m1 * m2 / d^2

m = mass of objects
d = distance between them

…then regardless of the objects relative densities, every time you double the distance, you quarter the gravitational force. This obviously assumes a vacuum as well.

To test, consider:

m1:m2=10, d=10: 100/100 = 1
m1:m2=10, d=20: 100/400 = .25
m1:m2=10, d=40: 100/1600 = .0625
m1=5, m2=10, d=10: 50/100 = .5
m1=5, m2=10, d=20: 50/400 = .125
m1=5, m2=10, d=40: 50/1600 = .03125
…as you can see, every time the distance is doubled, the gravitational force is quartered.

Newton's Law of Universal Gravitation

Answer 2

nope..... this statement is false...... the gravitational force will become 1/4th of initial value as
F=Gm1m2/r^2

fill distance will be doubled then take 4r^2 instead of r^2
here it is, the value became 1/4th

hope u gotcha
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