Question

Derive Newton third embodiment of motion

Answer 1

According to Newton's Second Law , F=ma

Now we know that mass is constant (When body is traveling at speed much less than speed of light) So, we can say that when Force is applied acceleration of body changes or in other word we can say that velocity is changing with respect to time and if Force is not applied then velocity of body doesn't changes with respect to time i.e. Velocity remains constant.

Now, If we write this special case of Newton's Second Law in One statement it boils down to our 1st Law given by Sir Newton and that is : If Body is at rest it remains at rest and if a body is moving with a constant velocity it will remain moving in constant velocity until and unless acted by an unbalanced Force.

Coming to the 3rd law of Newton it is also a special case of Newton's Second Law's of motion. How ??? I can explain you but i am writing this answer on Mobile phone and i can't type that much…… but I can tell you what to do take two bodies give them some velocity and measure their Change in momentum now leave the system for some time and then again cheak the Change in momentum it will be same and hence you can prove third