After completing an introduction to quantum mechanics course, i am concerned that i do not fully understand what a 'fuzzy' observable is in quantum mechanics, although it has been mentioned significantly in my course. could someone explain what this means in as much detail as possible? i am realizing that while i have a strong grasp of the mathematics, i sometimes overlook the basic physical meaning on things which can lead to me arriving at correct answers, but still not completely understanding what i just did. fuzzy observables seem to be another one of these situations.

The plum pudding model of the atom states that ?

As part of an industrial process, air as an ideal gas at 10 bar, 400k expands at steady state through a valve to a pressure of 4 bar. the mass flow rate of air is 0.5 kg/s. the air then passes through a heat exchanger where it is cooled to a temperature of 295k with negligible change in pressure. the valve can be modeled as a throttling process, and kinetic and potential energy effects can be neglected. (a) for a control volume enclosing the valve and heat exchanger and enough of the local surroundings that the heat transfer occurs at the ambient temperature of 295 k, determine the rate of entropy production, in kw/k. (b) if the expansion valve were replaced by an adiabatic turbine operating isentropically, what would be the entropy production? compare the results of parts (a) and (b) and discuss.

A17,250 kg rocket is pushed with a thrust of 6,450,284 n. what is the acceleration of the rocket?