Derive the formula of gravitational force using the factors on which it depends.
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the gravitational force F
F is directly proportional to the product of the masses of the body
Fαm₁m₂...(i)
F is inversly proportional to the square of the distance betwen them.
Fα1/d²...(ii)
from (i) and (ii)
Fαm₁m₂/d²
so F=Gm₁m₂/d²...[G is the universal gravitational constant.]
F is directly proportional to the product of the masses of the body
Fαm₁m₂...(i)
F is inversly proportional to the square of the distance betwen them.
Fα1/d²...(ii)
from (i) and (ii)
Fαm₁m₂/d²
so F=Gm₁m₂/d²...[G is the universal gravitational constant.]
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We know that according to Newton's law of gravitation, all objects in the universe attract each other.
F is directly proportional to masses of the two objects.......(i)
F is inversely proportional to the distance between the two objects......(ii)
From (i) and (ii) we can say that F is directly proportional to mass of two objects/the square of distance between them.
We know that in order to change a proportionate sign to equal to sign, we need to add a constant {[Here, G]}
=> F= Gm1m2/r^2(where m1 and m2 are the masses of two objects and r is thedistance between them.)
F is directly proportional to masses of the two objects.......(i)
F is inversely proportional to the distance between the two objects......(ii)
From (i) and (ii) we can say that F is directly proportional to mass of two objects/the square of distance between them.
We know that in order to change a proportionate sign to equal to sign, we need to add a constant {[Here, G]}
=> F= Gm1m2/r^2(where m1 and m2 are the masses of two objects and r is thedistance between them.)
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