what is nutons 2nd law of motion
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Answered by
4
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
rakesh1465:
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Answered by
16
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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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
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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,
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