f=ma dimensionaly proof
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Hello Friend
^_^
Here is the derivation of 2nd law of motion that is F=ma.
Newton's second law of motion states that the rate of change of momentum is proportional to the external unbalanced applied force in the direction of force
Which means
Change in momentum = mv-mu
Rate of change in momentum= mv-mu/t
We know F is proportional to mv-mu/t
F proportional to m(v-u)/t
Therefore F proportional to ma
As v-u/t = a.
Therefore
F= Kma
Where K is the constant and it's value is 1.
Therefore F=ma
Hence derived.
^_^
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