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Answer :
The mass of each object is 13.7 kg.
Given:
Force of gravity (F) = 5.00 x 10^-8 N
Distance between the masses (r) = 5.00 m
Gravitational constant (G) = 6.67 x 10^-11 N m^2/kg^2
The force of gravity between two masses is given by the formula:
F = G * (m1 * m2) / r^2
Since the masses are identical, m1 = m2 = m:
F = G * m^2 / r^2
Substitute the given values into the formula:
5.00 x 10^-8 = 6.67 x 10^-11 * m^2 / 5.00^2
Solve for the mass (m):
m^2 = (5.00 x 10^-8 * 5.00^2) / 6.67 x 10^-11
m^2 = 1.25 x 10^-6 / 6.67 x 10^-11
m^2 = 187.5
m = √187.5
m ≈ 13.7 kg
Since the masses are identical, each object has a mass of 13.7 kg.
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