9.
What is meant by gravitaitonal potential? Write its SI unit and dimensional formula
Answers
Answer- The above question is from the chapter 'Gravitation'.
Given question: What is meant by gravitational potential? Write its SI unit and dimensional formula.
Answer: Gravitational Potential at a point in a body's gravitational field is the amount of work done that brings a body of unit mass from infinity to the required point without any acceleration.
It is usually denoted by V.
Let W be the amount of work done that brings a body of mass m₀ from infinity to a point A in its gravitational field without any acceleration.
⇒ Gravitational Potential at A will be given by .
S.I. units:-
V = Joule/Kg
So, S.I. unit of Gravitational Potential = Joule/Kg.
Dimensional Formula:-
V = L²T⁻²
So, dimensional formula of Gravitational Potential = L²T⁻² .
Answer- The above question is from the chapter 'Gravitation'.
Given question: What is meant by gravitational potential? Write its SI unit and dimensional formula.
Answer: Gravitational Potential at a point in a body's gravitational field is the amount of work done that brings a body of unit mass from infinity to the required point without any acceleration.
It is usually denoted by V.
Let W be the amount of work done that brings a body of mass m₀ from infinity to a point A in its gravitational field without any acceleration.
⇒ Gravitational Potential at A will be given by \frac{W}{m_{o}}
m
o
W
.
S.I. units:-
V = \dfrac{W}{m_{o}}V=
m
o
W
V = \dfrac{Joule}{Kg}V=
Kg
Joule
V = Joule/Kg
So, S.I. unit of Gravitational Potential = Joule/Kg.
Dimensional Formula:-
V = \dfrac{W}{m_{o}}V=
m
o
W
V = \dfrac{ML^2T^-^2}{M}
V = L²T⁻²
So, dimensional formula of Gravitational Potential = L²T⁻² .