1.

State and derive Newton’s Second law of motion mathematically ( F=m x a )

Answer»

Hey mate.......

According to the Newton's 2ND LAW of motion, the RATE of change of linear momentum of a body is directly proportional to the applied external force and in the direction of force. ... Newton's 2nd Law of Motion: Rate of change of momentum(p) is directly proportional to the force(F) acting on it in the direction of force.

Consider a body of mass ‘m’ moving with velocity v.

The linear momentum of a body is given by:

p = mv

Now According to Newton’s 2nd Law of Motion:

Force is directly proportional to rate of change of momnetum, that is

F α dp/dt

F = k dp/dt

F = k d(mv)/dt

F = k MD(v)/dt

F = k ma

Experimentally k =1

F = k ma



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