Question

31. Derive Newton's second law of motion mathematically.​

Answer 1

Answer:

Force is directly proportional to mass and acceleration.

Hope it helps you.

Answer 2

→ Newton's Second law of motion :

✮ Newton' s Second law

The force acting on a body is directly proportional to the rate of change of linear momentum of a body and the change in momentum takes place in the direction of the force.

Let m be the mass of the moving body along a straight line with initial velocity (u).After some time (t) The velocity becomes (v) due to the unbalanced force F.

Initial momentum of the body = mu

Final momentum of the body = mv

Change in momentum ∆P = mv-mu = m ( v - u )

Force is directly proportional to the change in momentum.

F = m ( v - u ) / t

Since Acceleration = change in velocity/time taken

a = ( v-u) / t

Therefore F = ma

Force = mass * acceleration

Thus we arrived the Newton's Second Law of motion

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