Rank the magnitudes of the following gravitational forces from largest to smalle

Question

Rank the magnitudes of the following gravitational forces from largest to smallest. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) (a) The force exerted by a 2 kg object on a 3 kg object 1 m away. (b) The force exerted by a 2 kg object on a 9 kg object 1 m away. (c) The force exerted by a 2 kg object on a 9 kg object 2 m away. (d) The force exerted by a 9 kg object on a 2 kg object 2 m away. (e) The force exerted by a 4 kg object on another 4 kg object 2 m away.

Explanation / Answer

Well the answer is b > a > c = d > e From Newton' law of gravity F = G m1m2 / r^2 Since the G is the same in all cases, we can just say F = m1m2 / r^2 b) 2 * 9 / 1 = 18 a) 2 * 3 / 1 = 6 c) 2 * 9 / 4 = 4.5 d) 9 * 2 / 4 = 4.5 e) 4 * 4 / 4 = 4

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