state Newton's second law of motion and arrive at the equation f=ma
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Newton's Second Law of Motion States that the rate of change of momentum of an object is directly proportional to the applied unbalanced force in the direction of force.
Establish F = ma
Consider an object mass (m) moving with initial velocity (u) after applying force (F) it's velocity changes to (v) with acceleration a. If time taken by object to change it's velocity from u to v is t then,
Initial Momentum of the object
P1 = mu
Final Momentum of the object
P2 = mv
Change of Momentum ∆P = P2 - P1
= mv - mu
Rate of change of Momentum = mv - mu/t
= m(v - u)/t
As, v - u / t = a
= ma
According to Newton's second law F is proportional ma
➡F = kma
Here,
k is an equivalent constant. Here, k = 1.
Therefore, k = ma
Establish F = ma
Consider an object mass (m) moving with initial velocity (u) after applying force (F) it's velocity changes to (v) with acceleration a. If time taken by object to change it's velocity from u to v is t then,
Initial Momentum of the object
P1 = mu
Final Momentum of the object
P2 = mv
Change of Momentum ∆P = P2 - P1
= mv - mu
Rate of change of Momentum = mv - mu/t
= m(v - u)/t
As, v - u / t = a
= ma
According to Newton's second law F is proportional ma
➡F = kma
Here,
k is an equivalent constant. Here, k = 1.
Therefore, k = ma
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❤. 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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