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If the distance between two objects is increased to four times the original distance, how will that increase change the force of attraction between the objects?
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Gravitational attraction force is inversely proportional to the r^2
Here r is the distance between 2 objects
If r becomes 4r, the (4r)^2=16r^2
So gravitational attraction force will b decrease by 16 times
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Hint: before to increase the distance, the force is: \[\Large F = K\frac{{{M_1}{M_2}}}{{{d^2}}}\] after that the distance has been increased, we can write: \[\Large {F_1} = K\frac{{{M_1}{M_2}}}{{{{\left( {4d} \right)}^2}}} = K\frac{{{M_1}{M_2}}}{{16{d^2}}} = \frac{F}{{16}}\]
where, as usually, K=6.67*10^(-11) N*m^2*Kg^2
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