Derive equation second law of motion?

Asked by  | 1st Sep, 2008, 02:10: PM

Expert Answer:

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  | 1st Sep, 2008, 04:39: PM

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