Physics, asked by sayena, 1 year ago

state newton 2nd law of motion and derive the formula f=ma

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Answered by Anonymous

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. ... The greater the mass or greater the acceleration will mean the greater the force derived from the association. This is a directly proportional equation.
Let us derive the relation of force F = ma from Newton’s second law:

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.

It means that the linear momentum will change faster when a bigger force is applied.

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

Which is the required equation of force.

Answered by ElegantDoll

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❤. Newtonś Second Law :

"The rate of change of momentum of a body is directly proportional to the external force acting on the body and it is in the direction ,in which the force acts"

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