COMEDK2025PhysicsGravitationActual
The unit of universal gravitational constant is :
Options
- AN m ⁻² ~kg ⁻²
- BN m ⁻² ~kg ^2
- CN m ^2 ~kg ^2
- DN m ^2 ~kg ⁻²
Correct answer
D. N m ^2 ~kg ⁻²
Step-by-step solution
The law of universal gravitation is given by the formula F = G m₁ m₂ r^2 , where F is the gravitational force, G is the universal gravitational constant, m₁ and m₂ are the masses of the two objects, and r is the distance between them. Rearranging the formula to solve for G , we get G = F r^2 m₁ m₂ . Substituting the SI units for each quantity: F is in Newtons ( N ), r is in meters ( m ), and m is in kilograms ( kg ). The unit of G is N m ^2 kg kg = N m ^2 kg ⁻² . Answer: N m ^2 ~kg ⁻²