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What is the value of universal gravitational constant in S.I. system? The centers of two identical spheres of masses 1 kg each are kept at a distance 1 m apart. What is the gravitational force between the spheres?
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What is the value of universal gravitational constant in S.I. system? ...
Universal Gravitational Constant (G)
The universal gravitational constant (G) is a key value in physics that describes the strength of the gravitational force between two masses.
- Value of G:
G = 6.674 × 10^-11 N(m/kg)²
Gravitational Force Calculation
To calculate the gravitational force between two identical spheres with masses of 1 kg each, separated by a distance of 1 meter, we use Newton's law of universal gravitation.
- Formula:
F = G * (m1 * m2) / r²
Where:
- F = gravitational force
- G = 6.674 × 10^-11 N(m/kg)²
- m1 = mass of the first sphere = 1 kg
- m2 = mass of the second sphere = 1 kg
- r = distance between the centers of the spheres = 1 m
Substituting the values:
- F = (6.674 × 10^-11) * (1 * 1) / (1)²
- F = (6.674 × 10^-11) * 1 / 1
- F = 6.674 × 10^-11 N
Conclusion
The gravitational force between the two identical spheres, each of mass 1 kg and separated by a distance of 1 meter, is:
- Gravitational Force (F):
F = 6.674 × 10^-11 N
This value illustrates the incredibly weak nature of gravitational forces at small masses and distances, highlighting the significance of the universal gravitational constant in understanding gravitational interactions.
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