Question

prove that rate of change of momentum of body is equal to applied force​

Answer 1

Explanation:

The rate of change of the total momentum of a system of particles is equal to the sum of the external forces on the system.

Thus, consider a single particle. By Newton’s second law of motion, the rate of change of momentum of the particle is equal to the sum of the forces acting upon it:

P˙i=Fi+∑iFij(j≠i)(3.6.1)

Now sum over all the particles:

P˙i=∑iFi+∑i∑jFij(j≠i)(3.6.2)

F+12∑i∑jFij+12∑j∑iFij(3.6.3)

F+12∑i∑jFji+Fij(3.6.4)

But, by Newton’s third law of motion, Fji+Fij=0 , so the theorem is proved.

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Answer 2

Answer:

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Explanation:

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