Prove F= m ×a

1.	Prove F= m ×a
Answer» According to the Newton’s 2nd\xa0Law 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\xa0Law 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 = maWhich is the required equation\xa0of force.

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