Physics, asked by Raunak12022004, 1 year ago

Explain derivation of F=ma?
But do not take that
1 N= 1 Kg. 1 m/s(sq.)

Answers

Answered by BigSmoke
1
Force is defined as the rate of change of momentum.
F = dp/dt

Here dp/dt is rate of change of momentum

As we know,
P=mv
M is mass
V is velocity

F=dmv/dt
F=m dv/dt

As rate change of velocity is acceleration
That is dv/dt is a.

F=ma.

Hope you get your answer.

Raunak12022004: but in the newton's 2nd law of motion he defined that force is proportional to the rate of change in momentum
Raunak12022004: He does not said that force is defined as rate of change in momentum
BigSmoke: Whats the difference then.
Raunak12022004: you dont know the difference between proportional and equal
BigSmoke: If you equals the proportionality constant equals 1 you will get desired result. In this case as dp/dt is a single term nothing wrong in saying that force is equal to dp/dt. As if you change dp/dt body will produce force.
BigSmoke: And also i dont sat force is equal to rate change of momentum. Read my answer. I have written force is defined as rate of change of momentum... So carefully watch answers before objection buddy.
BigSmoke: say*
BigSmoke: In my expression whatever was the proportionality consrant is i have taken its value as 1.
BigSmoke: constant*
Answered by Rachitkumar23
0
Force is defined as the rate of change of momentum.
F = dp/dt

Here dp/dt is rate of change of momentum

As we know,
P=mv
M is mass
V is velocity

F=dmv/dt
F=m dv/dt

As rate change of velocity is acceleration
That is dv/dt is a.

F=ma.
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