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Question

Which law gives a quantitative measurement of the force?


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Solution

Newton's second law of motion:

  1. Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.
  2. Suppose an object is moving in a straight line, let m be the mass of an object moving with initial velocity u and reachs final velocity of v. If an external force F is applied for time t creating an acceleration of a. Then,

Forcefinalmomentum-initialmomentumtimeForcemv-mutForcem(v-u)tF=kma

Here, k is proportionality constant.

3. If 1 unit force is applied on the mass of 1kg and the acceleration created is1m/s2.

then,k=1

F=ma

Hence, Newton's second law of motion gives a quantitative measure of force.


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