Prove F=ma

1.	Prove F=ma
Answer» 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= mvNow According to Newton’s 2nd Law of Motion:Force is directly proportional to rate of change of momnetum, that isF α dp/dtF = k dp/dtF = k d(mv)/dtF = k md(v)/dtF = k maExperimentally k =1F = k maWhich is the required equation of force.

Discussion