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If two objects, each with a mass of 220 kg, produce a gravitational force between them of 4.3x10^6 N. What is the distance between them?

User Jared Levy
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The gravitational force between two objects can be calculated using the formula:

F = G * (m1 * m2) / r^2

where F is the gravitational force, G is the gravitational constant (6.67430 x 10^-11 N·(m/kg)^2), m1 and m2 are the masses of the objects, and r is the distance between the objects.

In this problem, we have two objects with the same mass of 220 kg, so we can simplify the formula to:

F = G * (m^2) / r^2

where m = 220 kg.

Plugging in the given values, we get:

4.3 x 10^6 N = 6.67430 x 10^-11 N·(m/kg)^2 * (220 kg)^2 / r^2

Solving for r, we get:

r^2 = (6.67430 x 10^-11 N·(m/kg)^2 * (220 kg)^2) / (4.3 x 10^6 N)

r^2 = 2.702 x 10^-5 m^2

Taking the square root of both sides, we get:

r = 0.0052 m

Therefore, the distance between the two objects is 0.0052 meters (or 5.2 millimeters).
User Tro
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