According to Newton's Second Law of Motion, the rate of change of momentum of a body is directly proportional to the net force applied to it and occurs in the direction of the applied force. Mathematically, this is expressed as F = dp/dt, where F is the net force, p is the momentum, and t is time. Momentum (p) is defined as the product of mass (m) and velocity (v), i.e., p = mv. If mass is constant, the rate of change of momentum is d(mv)/ dt = m(dv/dt) = ma, where a is acceleration. This is the more commonly known form of Newton's Second Law, F = ma.
The rate of change of momentum of a body is equal to the resultant :
Asked in UPSC CDS 1 2016 · Topic: Mechanics (Newton's Laws of Motion and their applications)
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