9th Class Science Force and laws of motion Question Bank 9th CBSE Science Force and laws of motion

  • question_answer
      Derive the mathematical relation of Newton's second law of motion.

    Answer:

                      Consider an object of mass m moving along a straight line with an initial velocity u (say). It is uniformly accelerated to velocity u in time t by the application of a constant force F in time t. Then, initial momentum of the object = mu Final momentum of the object = mu          Change in momentum = mv-mu         The rate of change in momentum                                           According to Newton's second law of motion, we have   Here, the rate of change of velocity. = acceleration k = a constant of proportionality Putting F becomes 1N. So,   1 N = k x 1 kg x 1 :.      k=l from equation (1), we have F = ma This represents the second law of motion. Thus, the second law of motion gives a method to measure the force acting on an object as a product of its mass and acceleration.


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