Question

what happens to the gravitational force between 2 objects if the mass of 1 object is halved?

Answer 1

anybody plz solve it...$......help me......

Answer 2

Newton's law of gravitation states that any two bodies attract each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. i.e.
\[F = \frac{ Gm _{1}m_{2} }{ d^{2} }\] where G = gravitational constant.
m1 = mass of body A
m2 = mass of body B
d = distance between A and B from their centers.
Suppose the mass of body A is halved i.e. m1/2
Now, force of gravitation is equal to:
\[= \frac{ G \frac{ m_{1} }{ 2 } m_{2} }{ d^{2} } = = \frac{ G m_{1} m_{2} }{ 2 d^{2} } = \frac{ 1 }{ 2 } (\frac{ Gm_{1}m_{2} }{ d^{2} })\]
So the gravitational force is also halved.

Answer 3

definitively it should be half