The rate of change of momentum of a body is equal to the resultant :

The rate of change of momentum of a body is equal to the resultant :

energy
power
force
impulse
This question was previously asked in
UPSC CDS-1 – 2016
The correct option is C) force.
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.
Energy is related to work and the capacity to do work. Power is the rate at which work is done or energy is transferred. Impulse is the change in momentum, calculated as the product of force and the time interval over which it acts (Impulse = F * Δt = Δp). The question specifically asks for the *rate* of change of momentum, which is defined as force.
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