State second law of motion (NLM)
Answers
Answer:
✅Verified Answer✅
Seconds law.
We know momentum p=mv where m= mass and v=velocity,.
So rate of change of momentum Δp=mv−mu where v and u are the final and initial velocity.
So rate of change of momentum= M(V-U)/T
Also we know acceleration a= (v-u/t)
Again ForceF= Mass *Acceleration
F=M*A
Thus A can be written as Fα
Thus A can be written as Fα m(v−u)/T
F=kma where k= proportionality constant.
F=kma where k= proportionality constant.Hence from second law of motion we get force is the product of mass and acceleration.
F=kma where k= proportionality constant.Hence from second law of motion we get force is the product of mass and acceleration.F=ma..
Explanation:
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- "The rate of change of momentum is proportional to the applied force and the change of momentum occurs in the direction of force."
Momentum is the product of mass and velocity of an object.
P = m v
{Momentum is a vector quantity.}
Suppose an object of mass 'm' has an initial velocity 'u'
When a force 'F' is applied in the direction of it's velocity for time 't', it's velocity becomes 'v'.
Initial momentum of object = mu
It's final momentum after time 't'= mv
Rate of change of momentum=
Rate of change of momentum=
According to the second law of motion, the rate of change of momentum is proportional to the applied force.
Therefore, F = k ma ( here, k = constant of Proportionality and it's value is 1.)
F = m.a
Remember that..
{If the same force is applied on different objects,the change of momentum is the same.}