What is the magnitude of the gravitational force acting on a 1.0 kg object which is 1.0 m from another 1.0 kg object?
Question
What is the magnitude of the gravitational force acting on a 1.0 kg object which is 1.0 m from another 1.0 kg object?
Solution
To calculate the gravitational force between two objects, we can use Newton's law of universal gravitation. The formula is:
F = G * (m1 * m2) / r^2
where:
- F is the force between the masses,
- G is the gravitational constant,
- m1 and m2 are the two masses,
- r is the distance between the centers of the two masses.
Given in the problem:
- G = 6.674 * 10^-11 N(m/kg)^2,
- m1 = 1.0 kg,
- m2 = 1.0 kg,
- r = 1.0 m.
Substituting these values into the formula, we get:
F = 6.674 * 10^-11 * (1.0 * 1.0) / 1.0^2 F = 6.674 * 10^-11 N.
So, the magnitude of the gravitational force acting on a 1.0 kg object which is 1.0 m from another 1.0 kg object is 6.674 * 10^-11 N.
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