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Two bodies of masses 5 kg and 15 kg are separated by a distance of 5m calculate the gravitational force of between them?
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Two bodies of masses 5 kg and 15 kg are separated by a distance of 5m ...
Understanding Gravitational Force
Gravitational force is the attractive force between two masses. The formula to calculate this force is given by Newton's law of universal gravitation:
F = G * (m1 * m2) / r²
Where:
- F = gravitational force
- G = gravitational constant (6.674 × 10^-11 N m²/kg²)
- m1 and m2 = masses of the two objects
- r = distance between the centers of the two masses
Given Values
- Mass of the first body (m1) = 5 kg
- Mass of the second body (m2) = 15 kg
- Distance between the bodies (r) = 5 m
Calculating Gravitational Force
1. Plugging values into the formula:
- F = (6.674 × 10^-11) * (5 * 15) / (5)²
2. Calculating the numerator:
- m1 * m2 = 5 * 15 = 75
- Therefore, F = (6.674 × 10^-11) * 75
3. Calculating the denominator:
- r² = 5² = 25
4. Final calculation:
- F = (6.674 × 10^-11 * 75) / 25
- F = (5.0055 × 10^-9) N
Conclusion
The gravitational force between the two bodies of masses 5 kg and 15 kg separated by a distance of 5 meters is approximately 5.0055 × 10^-9 N. This demonstrates that even small masses exert a minuscule gravitational pull on each other, which becomes significant with larger masses or smaller distances.
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