Q.You are sitting next to your friend on ground. Is there any gravitational force of attraction between you two? If so, why are you not coming together naturally? Is any force other than the gravitational force of the earth coming in picture?
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Start your 14-day free trial to unlock the full solution →Yes -- ANY two masses exert a mutual gravitational force of attraction on each other, , and you and your friend, both having mass, are no exception. However, for two ordinary human-sized masses (tens of kilograms) separated by even a small distance, this force is astronomically tiny -- vastly smaller than, for instance, the frictional force resisting any sliding motion between your body and the ground, or the normal reaction holding you both in place. This is exactly analogous to the worked example (4.5.1) showing that mutual gravitational attraction between two 300 kg sumo wrestlers 0.5 m apart is negligible compared to their weight due to the Earth. So you are not 'coming together' because the mutual gravitational pull, while genuinely present and non-zero, is many, many orders of magnitude too weak to overcome the friction/normal-reaction forces already keeping you both in place. No force OTHER than gravity is drawing you together (there's no reason for any …
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