The gravitational force produced between any two objects kept 2.5 x 10^4 km apart is 580N. At what distance should they be kept so that the gravitational force becomes half.

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asked May 18, 2022 222k views

2 votes

The

gravitational
force
produced
between
any two
objects kept
2.5 x 10^4 km apart is
580N.
At what distance should they be
kept so that the
gravitational force
becomes
half.

Mathematics
college

Chrisanthi asked

by Chrisanthi

3.5k points

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1 Answer

6 votes

Answer:

$580 = 2.5 * {10}^(4) \\ ( (1)/(2) * 580) = d \\580 d = ( (1)/(2) * 580 * 2.5 * {10}^(4) ) \\ d = \frac{( (1)/(2) * 580 * 2.5 * {10}^(4) )}{580} \\ d = 1.25 * {10}^(4) \: km$