two bodies of mass 10kg and 50kg are at a distance 1 km from each other. What is the force between them?
Question
two bodies of mass 10kg and 50kg are at a distance 1 km from each other. What is the force between them?
Solution
The force between two bodies due to gravity can be calculated using Newton's law of universal gravitation. The formula is:
F = G * (m1 * m2) / r^2
where:
- F is the force between the bodies,
- G is the gravitational constant,
- m1 and m2 are the masses of the two bodies, and
- r is the distance between the centers of the two bodies.
Given:
- G = 6.674 * 10^-11 N(m/kg)^2,
- m1 = 10 kg,
- m2 = 50 kg, and
- r = 1 km = 1000 m.
Substituting these values into the formula, we get:
F = 6.674 * 10^-11 * (10 * 50) / 1000^2 F = 6.674 * 10^-11 * 500 / 1000000 F = 3.337 * 10^-9 N
So, the force between the two bodies is approximately 3.337 * 10^-9 Newtons.
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