force=mass×acceleration
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Answered by
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Answer:
here's a proof ...
Explanation:
The rate of change of momentum =
Δt
Δp
=
Δt
Δ(mv)
(When v →$ c or m is not constant).
But if mass m is constant i.e., v
rate of change of momentum =
Δt
Δp
=m
Δt
Δv
Here the quantity
Δt
Δv
= rate of change of velocity i.e., acceleration a.
Rate of change in momentum =
Δt
Δp
=
Δt
Δ(mv)
=ma
Thus, by Newton's second law of motion.
F∝ma
or.F=kma
Where k is a constant of proportionality which can be made equal to 1 by choosing the suitable unit for force.
Hence.F=ma when mass m of the body is constant at velocity v which is much smaller than the velocity of light....
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