If you and a friend 10 m away each have masses of 84 kg, how much gravitational force are you exerting on your friend?

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To calculate the gravitational force between two objects, you can use Newton's law of universal gravitation. The formula states that the force (F) between two masses (m1 and m2) is directly proportional to the product of their masses and inversely proportional to the square of the distance (r) between them.

The formula is given as:
F = (G * m1 * m2) / r^2

Where:
F is the gravitational force,
G is the gravitational constant (approximately 6.67430 × 10^-11 N m^2/kg^2),
m1 and m2 are the masses of the objects,
r is the distance between the centers of the masses.

In this case, both you and your friend have masses of 84 kg, and you are 10 m away from each other.

Plugging these values into the formula, we get:
F = (6.67430 × 10^-11 N m^2/kg^2 * 84 kg * 84 kg) / (10 m)^2

Now we can calculate the gravitational force:

F = (6.67430 × 10^-11 N m^2/kg^2 * 84 kg * 84 kg) / (10 m * 10 m)

Calculating this equation, we find that the gravitational force between you and your friend is approximately 3.58 x 10^-9 Newtons (N).