What will be the force of attraction if mass are doubled?
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The formula for gravitational force of attraction is,
Fg= GMm/r^2 [ let this be equation 1]
r^2 is the distance between the centres of two objects. Now, the distance is doubled, then
Fg'= GMm/(2r)^2
Fg' = GMm/4r^2 [ let this be equation 2]
Dividing equation 2 by 1
Fg'/Fg = GMm÷4r^2/GMm÷r^2
= GMm/4r^2× r^2/GMm
= 1/4
So, Fg'= 1/4×Fg
Therefore, the force of attraction will be 1/4 times the original force.
Fg= GMm/r^2 [ let this be equation 1]
r^2 is the distance between the centres of two objects. Now, the distance is doubled, then
Fg'= GMm/(2r)^2
Fg' = GMm/4r^2 [ let this be equation 2]
Dividing equation 2 by 1
Fg'/Fg = GMm÷4r^2/GMm÷r^2
= GMm/4r^2× r^2/GMm
= 1/4
So, Fg'= 1/4×Fg
Therefore, the force of attraction will be 1/4 times the original force.
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