derive first low of motion form secound low of motion
Answers
Answer:
Newton’s second law of motion states that the force exerted by a body is directly proportional to the rate of change of its momentum. For a body of mass ‘m’, whose velocity changes from u to v in time t, when force ‘F’ is applied.
F∝
Time
Changeinmomentum
F∝
t
mv−mu
F∝m(
t
v−u
)
⇒F∝ma⇒F=kma(∵a=
t
v−u
)
⇒F=ma(∵k=constant=1)
Answer:
The second law of motion is the fundamental one,so we can use it to derive the 1st and also the 3rd one.
According to the 2nd law F=ma.
Now if we put F=0 in the above eqn, then either m=0 or a=0.
Now mass(here it is inertial mass) can never be zero at least in the domain of Newtonian mechanics,so we see then acceleration must be equal to zero.
Thus we see if Force on an object is zero then it’s acceleration is also zero,which is the indirect statement of “A body will try not to change it’s original configuration if not acted upon by external force “ which is the 1st Law of motion.
Therefore we find that a body at rest will never move(motion) unless & until we give it a certain acceleration(force) to begin with and also a moving body will never come to rest unless & until we apply a deceleration(force).So a body at rest will remain at rest(zero acceleration) and a body at uniform velocity will continue to move with same velocity(zero acceleration).
Explanation:
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