Question

State and prove Newton's second law of motion... 9th Class Question...​

Answer 1

Answer:

Newton's Second Law of Motion states that the acceleration produced by a net force on an object is directly proportional to the magnitude of the net force, is in the same direction as the net force, and is inversely proportional to the mass of the body.

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So,

F=$\dfrac{dP}{dt}$

But P = mv

So,F = $\dfrac{d(mv)}{dt}$

F=$m \times \frac{dv}{dt}$

⟹ F = ma

Answer 2

Answer:

NEWTON'S SECOND LAW OF MOTION states that : The rate of change of momentum of a body is directly proportional to the applied force and takes place in the direction in which the force acts. Where F is the force applied, M is the mass of body and A is the acceleration produced.

Newton's second law of motion can be expressed as :

Force is directly proportional to Change in momentum ÷ Time taken.

Now, F is directly proportional to mv-mu ÷ t or m(v-u) ÷ t [Here (v-u÷t) represent change in velocity which is called Acceleration]

Therefore we get : F is directly proportional to m×a.

This relation F is directly proportional to m×a can be turned into an equation by putting in a constant k.

Thus, F=k×m×a (where k is constant)

Value of k in SI units is 1, So the above equation becomes F=m×a or Force= Mass×Acceleration.