Question

According to the newton's 2nd law of motion correct equation is (where symbols have their usual meanings)

Answer 1

Answer:

F=ma

Explanation:

since we know that newton 2nd law of motion states that the derivative of momentum with respect to time is directly proportional to the applied force.

$F\alpha \frac{dp}{dt}$..................(1)

we also know P=momentum which is the quantity of motion contained in the body.

P=m x v...........................(2)

where m=mass, v=velocity.

using (1) and (2) equation.

we get

$F\alpha \frac{d(mv)}{dt}$

so,$F\alpha m\frac{dv}{dt}$...................(3)

we know the derivative of velocity with respect to time is acceleration.

$a=\frac{dv}{dt}$....................(4)

using (3) and (4) we get

$F\alpha ma$

If we assume the proportionality constant is k.Then,

F=kma