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Prove F=ma

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Prove F=ma

Posted by Guidkkk Gjkkl 6 years, 10 months ago

CBSE > Class 11 > Physics

1 answers

Sanidhya Jadaun? 6 years, 10 months ago

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.

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