What is the magnitude of the gravitational force acting on a 4.0 kg object which is 1.0 m from a 1.0 kg object?
Question
What is the magnitude of the gravitational force acting on a 4.0 kg object which is 1.0 m from a 1.0 kg object?
Solution 1
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 of gravity between the two objects,
- G is the gravitational constant, which is 6.674 * 10^-11 N(m/kg)^2,
- m1 and m2 are the masses of the two objects, and
- r is the distance between the centers of the two objects.
Substituting the given values into the formula, we get:
F = 6.674 * 10^-11 * (4.0 * 1.0) / 1.0^2
Solving this equation will give us the magnitude of the gravitational force acting on the 4.0 kg object.
Solution 2
The gravitational force between two objects 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 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:
- G = 6.674 * 10^-11 N(m/kg)^2,
- m1 = 4.0 kg,
- m2 = 1.0 kg,
- r = 1.0 m,
we can substitute these values into the formula:
F = 6.674 * 10^-11 * (4.0 * 1.0) / 1.0^2 F = 6.674 * 10^-11 * 4.0 F = 2.6696 * 10^-10 N
So, the magnitude of the gravitational force acting on a 4.0 kg object which is 1.0 m from a 1.0 kg object is approximately 2.67 * 10^-10 N.
Solution 3
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 of gravity between the two objects,
- G is the gravitational constant, which is 6.674 * 10^-11 N(m/kg)^2,
- m1 and m2 are the masses of the two objects, and
- r is the distance between the centers of the two objects.
Substituting the given values into the formula, we get:
F = 6.674 * 10^-11 * (4.0 * 1.0) / 1.0^2
Solving this equation will give us the magnitude of the gravitational force acting on the 4.0 kg object.
Solution 4
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 of gravity between the two objects,
- G is the gravitational constant, which is 6.674 * 10^-11 N(m/kg)^2,
- m1 and m2 are the masses of the two objects, and
- r is the distance between the centers of the two objects.
Substituting the given values into the formula, we get:
F = 6.674 * 10^-11 * (4.0 * 1.0) / 1.0^2
Solving this equation will give us the magnitude of the gravitational force acting on the 4.0 kg object.
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