A 181 kg mass and a 78.0 kg mass are separated by some distance. If the force of attraction between the masses is 4.50 x 10-6 N, how far apart are the two masses?

The distance between the two masses, given the force of attraction and their masses, can be calculated using the formula of gravitational force. In this specific example, the two masses would be approximately 3.29 x 10^6 meters apart.

Explanation:

The question deals with the calculation of distance between two masses using the formula of gravitational force. The formula for gravitational force (F) is given by F = G * (m1 * m2) / r², where G is the gravitational constant (6.674x10-11 N(m/kg)²), m1 and m2 are the two masses, and r is the distance between the two masses. Here, m1=181 kg, m2=78 kg and F=4.50x10-6 N. Doing the algebra to solve for r gives r = sqrt[(G * m1 * m2)/F]. Substituting the given values into the equation and doing the math gives a distance of approximately 3.29 x 10^6 meters between the two masses.

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