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What is the dimensional formula of gravitational force

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3 years ago

```
Universal Constant of Gravitation is represented by G and is derived from Newton’s law of gravitation. Newton’s law states thatF=(Gm1m2)/r2SoG=(Fr2)/m1m2
Where F is Force between masses m1, m2 at a distance r
Dimensional Formula of Force= M1L1T-2
ThusDimensional Formula of Universal Constant of Gravitation= (M1L1T-2 x L2)/(M1 x M1)
Dimensional Formula of Universal Constant of Gravitation = M-1L3T-2SI unit of Universal Constant of Gravitation is Nm2kg-2
or
Dimensional Formula of Gravitational constant = M-1L3T-2

```
3 years ago
```							g=force*(radius)^2/m1*m2
where m1 and m2 are masses of earth and object respectively.
```
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.
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2 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 thatF=(Gm1m2)/r2SoG=(Fr2)/m1m2Where F is Force between masses m1, m2at a distance rDimensional Formula of Force= M1L1T-2ThusDimensional Formula of Universal Constant of Gravitation= (M1L1T-2x L2)/(M1x M1)Dimensional Formula of Universal Constant of Gravitation = M-1L3T-2SI unit ofUniversal Constant of Gravitation is Nm2kg-2orDimensional Formula of Gravitational constant = M-1L3T-2Thanks and Regards
```
2 months ago
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