Question

The correct expression for the Newton's universal law of gravitation is:
1. \(F = \frac{Gm_{1}m_{2}}{r}\)
2. \(F = \frac{Gm_{1}m_{2}}{2r}\)
3. \(F = \frac{Gm_{1}m_{2}}{r^{2}}\)
4. \(F = \frac{Gm_{1}m_{2}}{2r^{2}}\)

Answer 1

Correct Answer - Option 3 : \(F = \frac{Gm_{1}m_{2}}{r^{2}}\)

The correct answer is option 3)

CONCEPT:

• Newton's universal law of gravitation: Every object in the universe attracts every other object with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them i.e.

\(F = \frac{Gm_{1}m_{2}}{r^{2}}\)

Where, F = Force of gravitation between the objects m₁ = Mass of one of the objects, m₂ = Mass of the second object, r = Distance between the centres of the two objects, and G = Universal gravitational constant

EXPLANATION:

• In Newton's universal law of gravitation, the gravitational force is directly proportional to the product of the masses and inversely proportional to the square of the distance between the objects.

• The value of the universal gravitational constant on Earth is found to be G = 6.67 × 10^-11 Nm²/kg².