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What is Newton's 2nd law of motion and derive it |
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Answer» tion: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 = 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. |
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