Question

derive a mathematical formulation of the second law of motion

Answer 1

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Let mass of an moving object be m. Let is initial velocity be u and final velocity be v. Now, 1 unit force is defined as the force applied on an object of mass 1kg to produce the acceleration of 1m/s2.....

Answer 2

Answer:

Let mass of an moving object be m.

Let is initial velocity be u and final velocity be v.

We know that momentum (p) = Mass × velocity

Therefore,

Initial momentum of object = mu

And Final momentum of the object = mv

Therefore, change in momentum = mv – mu

JagranjoshWhere k is the proportionality constant

Now, 1 unit force is defined as the force applied on an object of mass 1kg to produce the acceleration of 1m/s2.

Thus, 1 unit of force = k ×1kg ×1m/s2