state newtons 2 law .explain how it gives definition of force .explain how it contain 1 law
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the rate of change in momentum is directly proportional to the force applied and this change acts in direction in which force acts.
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Newton's 2 law :- Rate of Change of momentum is directly proportional to Force applied.
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Given rate of change of momentum is directly proportional to its Force applied.
First of all
Momentum =P = mv
Rate of change of velocity = Pf - Pi /t
Here Pi is the initial momentum,
Pf is the final momentum
now
Pf - Pi /t ∝F
mv- mu /t ∝ F
we know that final and initial velocities are considered v,u respectively.
m( v - u)/t ∝F
F ∝ ma
here we take acceleration = v-u/t
So for removing proportionality I am introducing a proportionality constant Say K
finally F= maK
here K =1
Finally F = m* a
Thus, after deriving, it gives definition of force.
Force is the product of the mass of the object and acceleration produced.
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And as we saw here, Only force can change the state of rest or motion. A object which is in rest have no change in momentum, because it has no force applied. this is how 2 nd law defines first law.
Newton's First Law of motion :- A body continues to be in rest or uniform motion until unless an external force acts upon it.
=================
Given rate of change of momentum is directly proportional to its Force applied.
First of all
Momentum =P = mv
Rate of change of velocity = Pf - Pi /t
Here Pi is the initial momentum,
Pf is the final momentum
now
Pf - Pi /t ∝F
mv- mu /t ∝ F
we know that final and initial velocities are considered v,u respectively.
m( v - u)/t ∝F
F ∝ ma
here we take acceleration = v-u/t
So for removing proportionality I am introducing a proportionality constant Say K
finally F= maK
here K =1
Finally F = m* a
Thus, after deriving, it gives definition of force.
Force is the product of the mass of the object and acceleration produced.
____________________________________
And as we saw here, Only force can change the state of rest or motion. A object which is in rest have no change in momentum, because it has no force applied. this is how 2 nd law defines first law.
Newton's First Law of motion :- A body continues to be in rest or uniform motion until unless an external force acts upon it.
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