derive the formula F=ma
step by step
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Derivation no. 1:
Force is change in momentum per unit time.
Or,
Force is directly proportional to (mv - mu)/t
Taking “m” as common.
F directly proportional to {m(v-u)}/t
Now, acceleration = (v-u)/t
Thus,
F directly proportional to m × a
Now we need a constant ‘k’ to convert it into an equation, where k is taken as 1 according tl C.G.S. system.
Hence F = ma
Derivation no. 2:
Force is directly proportional to acceleration.
Or, F directly proportional to ‘a’.
Now, we need a constant ‘k’ to convert this into an equation, where ‘k’ is taken as mass of the moving object om which force is applied.
Hence,
F = m × a
Hope it helped!
Force is change in momentum per unit time.
Or,
Force is directly proportional to (mv - mu)/t
Taking “m” as common.
F directly proportional to {m(v-u)}/t
Now, acceleration = (v-u)/t
Thus,
F directly proportional to m × a
Now we need a constant ‘k’ to convert it into an equation, where k is taken as 1 according tl C.G.S. system.
Hence F = ma
Derivation no. 2:
Force is directly proportional to acceleration.
Or, F directly proportional to ‘a’.
Now, we need a constant ‘k’ to convert this into an equation, where ‘k’ is taken as mass of the moving object om which force is applied.
Hence,
F = m × a
Hope it helped!
Answered by
1
❤. Newtonś Second Law :
"The rate of change of momentum of a body is directly proportional to the external force acting on the body and it is in the direction ,in which the force acts"
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