A body of mass 'm' initially moving with a velocity 'u' picks of velocity 'v' in 't' second when of force 'F' acts on it, such that acceleration is 'a'. Derive relation between force, mass and acceleration.
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f=ma is the relation . where f=force,m=mass ,a = acceleration
Sannidhya:
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Answer:
According to second law of motion
F=change in momentum per unit time
F=∆p/∆t…………………(1)
As we know p=mv
So change in momentum (∆p)=∆(mv)
∆p=m∆v.................... (2)
(since mass is constant and only velocity changes)
Also acceleration a=change in velocity per unit time
a=∆v/∆t…………………(3)
Using (1)&(2)
F=m∆v/∆t
Using (3)
F=ma
This is the relation between force and acceleration which you are looking for
Explanation:
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