different between conservative force and dissipative force?
Answers
Force” implies that we are concerned with classical mechanics, since in quantum mechanics and relativity, the notion of a “force” has been replaced with the notion of an “interaction”. A dissipative force is a force that is not conservative, so only “conservative force” needs to be defined. A conservative force is a force that can be derived from a potential function that is not an explicit function of time. The force is the gradient of the potential. For example, the force operating on an undriven undamped linear harmonic oscillator is F = -k(x-x0) where k is the spring constant, x is the coordinate axis along which the oscillations occur, and x0 is the equilibrium point. The potential is U = -k(x-x0)^2/2 For this one-dimensional case, the gradient is just the derivative with respect to x: dU/dx = -k(x-x0) = F If the oscillator is damped, the potential acquires an exponential decay factor that contains the time explicitly, and the mechanical energy is not conserved and decays to zero over some time that depends on the damping constant, the physical parameters (mass and spring constant), the initial conditions, and the damping factor. PLS MARK IT AS BRAINLIEST ANSWER