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What is the dimensional formula of gravitational force
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
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
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
g=force*(radius)^2/m1*m2 where m1 and m2 are masses of earth and object respectively.
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.
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
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