Two objects are separated by a distance such that the gravitational force between them is 6.673 nN. If both objects have a mass of 1 Mg, what is the distance between them?
A)1 meter
B) 10 meters.
C) 100 meters.
D) 1000 meters.
E. The correct answer is not given
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E. The correct answer is not given
The gravitational force between two objects is given by the formula:
F = G * (m1 * m2) / r^2
where:
F is the gravitational force,
G is the gravitational constant (6.674 * 10^-11 N(m/kg)^2),
m1 and m2 are the masses of the objects, and
r is the distance between the objects.
We can rearrange the formula to solve for r:
r = sqrt((G * m1 * m2) / F)
Substituting the given values:
r = sqrt((6.674 * 10^-11 N(m/kg)^2 * 1 Mg * 1 Mg) / 6.673 nN)
r = sqrt((6.674 * 10^-11 N(m/kg)^2 * 10^6 g * 10^6 g) / 6.673 * 10^-9 N)
r = sqrt((6.674 * 10^-11 * 10^12) / 6.673 * 10^-9)
r = sqrt(10^3 / 6.673)
r = sqrt(149.8)
The square root of 149.8 is approximately 12.24, so the distance between the objects is approximately 12.24 meters. Therefore, the correct answer is not given in the options.
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