Calculate the gravitational force between two identical 100-kg masses separated by
1 m.
To calculate the gravitational force between two objects, we can use Newton's Law of Universal Gravitation. The formula is:
F = (G * m₁ * m₂) / r²
Where:
F is the gravitational force
G is the gravitational constant (approximately 6.67430 x 10^-11 m³kg⁻¹s⁻²)
m₁ and m₂ are the masses of the two objects
r is the distance between the centers of the two objects
In this case, the masses of the two objects are both 100 kg, and the distance between them is 1 meter. Plugging these values into the formula, we get:
F = (6.67430 x 10^-11 m³kg⁻¹s⁻² * 100 kg * 100 kg) / (1 m)²
Simplifying this, we have:
F = (6.67430 x 10^-11 m³kg⁻¹s⁻² * 10,000 kg²) / 1 m²
F = 6.67430 x 10^-9 N
Therefore, the gravitational force between two identical 100-kg masses separated by 1 m is approximately 6.67430 x 10^-9 Newtons.