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# CBSE Class 9 Answered

Derive equation second law of motion?
Asked by | 01 Sep, 2008, 02:10: PM

Second law
Observed from an inertial reference frame, the net force on a particle is proportional to the time rate of change of its linear momentum: F = d (mv) / dt. Momentum mv is the product of mass and velocity. Force and momentum are vector quantities and the resultant force is found from all the forces present by vector addition. This law is often stated as "F = ma: the net force on an object is equal to the mass of the object multiplied by its acceleration."

Using modern symbolic notation, Newton's second law can be written as a vector differential equation:



F = m dv / dt ,

dv /dt = a

F = ma

where:

 is the force vector
 is mass
 is the velocity vector
 is time.
Answered by | 01 Sep, 2008, 04:39: PM

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