Grade 11Modern Physics

What is the dimensional formula of gravitational force

Iftesham ansari

8 Years agoGrade 11

4 Answers

Arun

8 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)/(M¹x M¹)

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

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

anjace

8 Years ago

g=force*(radius)^2/m1*m2

where m1 and m2 are masses of earth and object respectively.

Anjali kumari

8 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.

Rishi Sharma

5 Years ago

Dear Student,
Please find below the solution to your problem.

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