what is second law of motion?
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Second law of motion states that force acting on an object is directly proportional to the mass and the acceleration..
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second law of motion states that the rate of change of momentum of a body is directly proportional to the applied force and takes place in the same direction as the force.
Suppose the velocity of a body of mass m changes from u to v in time t. The magnitudes of initial and final momentum of the body will be P1=mu and P2=mv. The change in momentum (P2-P1), takes place in time t. Then according to the law:
Fα(P2-P1)/t
or F=kxm(v-u)/t where k is a constant ...(i)
Now (v-u)/t is the rate of change of velocity, which is acceleration á', so we have
F=kxmxa ...(ii)
We choose the units of force in such a manner that the value of k=1. So that
F=ma ...(iii)
By the second law of motion we get to know that force is equal to the product of a body's mass and its acceleration.
Suppose the velocity of a body of mass m changes from u to v in time t. The magnitudes of initial and final momentum of the body will be P1=mu and P2=mv. The change in momentum (P2-P1), takes place in time t. Then according to the law:
Fα(P2-P1)/t
or F=kxm(v-u)/t where k is a constant ...(i)
Now (v-u)/t is the rate of change of velocity, which is acceleration á', so we have
F=kxmxa ...(ii)
We choose the units of force in such a manner that the value of k=1. So that
F=ma ...(iii)
By the second law of motion we get to know that force is equal to the product of a body's mass and its acceleration.
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