the gravitational force between two objects is 75 Newton calculate the distance variation between these objects such that the force between them becomes double
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the gravitational force between two objects is 75 Newton calculate the distance variation between these objects such that the force between them becomes double
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According to the law of Gravitation,
Gravitational Force = (GMm/d²)
where, G = Gravitational Constant,
M = mass of object 1
m = mass of object 2
d = distance between the two objects
Let GMm be a constant k as these terms will not change in this task.
Initial Force = k/d² = 75N
k = 75d² --- equation 1
New force = 2 × Initial force = 75×2 = 150 N
Let D be the new distance
Therefore, GMm/D² = 150 N
k/D² = 150 N
75d²/D² = 150N
d²/D² = 150/75 = 2
d/D = √2
Therefore, D = d/√2
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