how is gravitational force of attraction between two bodies affected if mass of both body is doubled
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If the mass of both of the objects is doubled, then the force of gravity between them is quadrupled; and so on. Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces
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we know that gravitational force is directly propertional to product of each masses
let f be the force
now, f1=k(m1×m2)/r
when the mass of both body is doubled
f2=k(2m1×2m2)/r
=4k(m1×m2)/r
=4f1
hence the gravitational for becomes 4 time of the initial force.
May this help You
let f be the force
now, f1=k(m1×m2)/r
when the mass of both body is doubled
f2=k(2m1×2m2)/r
=4k(m1×m2)/r
=4f1
hence the gravitational for becomes 4 time of the initial force.
May this help You
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