Question

what is nutons 2nd law of motion

Answer 1

It states that The acceleration of an object is dependent upon two variables-the net force acting on the object and the mass of the object

Answer 2

$Here \: is \: the \: answer \: of \: your \: question$

$\textbf{NEWTON'S SECOND LAW}$

According to it the rate of change of linear momentum of a body is directly proportional to the applied external force.
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$\textbf{DERIVATION}$

Rate of change of linear momentum is directly proportional to force.

So,

F α dp/dt

F = k dp/dt

Now,

p (momentum) = mv

So,

F = k d(mv)/dt

F = k md(v)/dt

Now,

dv/dt = a

So,

F = k ma

Experimentally k =1

$\textbf{F = ma}$
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OR

[2nd method to solve this]

Force = (Change in momentum / Time)

Now, we know that;

Momentum = Product of mass and velocity of the body. i.e.

P = mv

Let us consider that a body of mass (m) is moving with a initial velocity (u) and with final velocity (v) in time (t)

Initial momentum = p1 = mu

Final momentum = p2 = mv

Then,

Change in momentum of the body = p2 - p1

F = mv -mu

F = [m (v - u) / t] .........(1)

As we know that,

a = [(v - u) / t] ...........(2)

Put the value of (2) in (1)

Then,

$\textbf{F = ma}$
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