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# What is the dimensional formula of gravitational force

4 years ago

Universal Constant of Gravitation is represented by G and is derived from Newton’s law of gravitation. Newton’s law states that
F=(Gm1m2)/r2
So
G=(Fr2)/m1m2

Where F is Force between masses m1, m2 at a distance r

Dimensional Formula of Force= M1L1T-2

Thus
Dimensional Formula of Universal Constant of Gravitation= (M1L1T-2 x L2)/(Mx M1)

Dimensional Formula of Universal Constant of Gravitation = M-1L3T-2
SI unit of Universal Constant of Gravitation is Nm2kg-2

or

Dimensional Formula of Gravitational constant = M-1L3T-2

3 years ago
It's dimension will be MLT^-1. We do not need to care about which force is. For gravitational force or magnetic force the dimension will be same as the dimension of force.

one year ago
Dear Student,

Universal Constant of Gravitation is represented by G and is derived from Newton’s law of gravitation. Newton’s law states that
F=(Gm1m2)/r2
So
G=(Fr2)/m1m2
Where F is Force between masses m1, m2at a distance rDimensional Formula of Force= M1L1T-2Thus
Dimensional Formula of Universal Constant of Gravitation= (M1L1T-2x L2)/(M1x M1)
Dimensional Formula of Universal Constant of Gravitation = M-1L3T-2
SI unit ofUniversal Constant of Gravitation is Nm2kg-2
or
Dimensional Formula of Gravitational constant = M-1L3T-2

Thanks and Regards