derivation of the f=ma explain
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Hi...
This derivation is simply based on newtons 2nd law of kimematics..
Acc..to sir issac newton ...
The accceleration produced in a body of given mass is directly proportinal to the force applied on it
i.e., F ∝ a ( if mass is same) ------------------- (i)
The force needed to produce a given acceleration in a body is directly proportional to the mass of the body. i.e.,
F ∝ m ( if acceleration is same) ------------------- (ii)
From equations (i) and (ii)
F ∝ ma
F = kma ------------------- (iii)
where, k = constant.
The unit of force is so chosen that, k = 1, when m = 1 and a = 1.
Then the amount of force which when applied on a body of unit mass, produces a unit acceleration in the body, is taken as one unit of force.
So we can express force mathematically as
F = ma
Force = mass × acceleration.
Hope this helps u!!!
This derivation is simply based on newtons 2nd law of kimematics..
Acc..to sir issac newton ...
The accceleration produced in a body of given mass is directly proportinal to the force applied on it
i.e., F ∝ a ( if mass is same) ------------------- (i)
The force needed to produce a given acceleration in a body is directly proportional to the mass of the body. i.e.,
F ∝ m ( if acceleration is same) ------------------- (ii)
From equations (i) and (ii)
F ∝ ma
F = kma ------------------- (iii)
where, k = constant.
The unit of force is so chosen that, k = 1, when m = 1 and a = 1.
Then the amount of force which when applied on a body of unit mass, produces a unit acceleration in the body, is taken as one unit of force.
So we can express force mathematically as
F = ma
Force = mass × acceleration.
Hope this helps u!!!
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