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Physics, 02.08.2021 17:30 shavonfriend27

Imagine two pairs of books. In the first pair, two books of mass m_1m 1 โ€‹ m, start subscript, 1, end subscript and m_2m 2 โ€‹ m, start subscript, 2, end subscript are separated by the distance rrr, resulting in a gravitational force F_1F 1 โ€‹ F, start subscript, 1, end subscript. In the second pair, two books of mass 2m_12m 1 โ€‹ 2, m, start subscript, 1, end subscript and 4m_24m 2 โ€‹ 4, m, start subscript, 2, end subscript are separated by the distance 2r2r2, r, resulting in a gravitational force of F_2F 2 โ€‹ F, start subscript, 2, end subscript. The relationship between these two forces can be written as F_2 = nF_1F 2 โ€‹ =nF 1 โ€‹ F, start subscript, 2, end subscript, equals, n, F, start subscript, 1, end subscript. In the expression F_2 = nF_1F 2 โ€‹ =nF 1 โ€‹ F, start subscript, 2, end subscript, equals, n, F, start subscript, 1, end subscript, what is the value of nnn?

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Imagine two pairs of books. In the first pair, two books of mass m_1m 1 โ€‹ m, start subscript, 1, end...
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