As part of a class demonstration, a physics teacher sits down on a rolling office chair while holding a fire extinguisher. The total mass of the teacher+chair+extinguisher is M = 82.0 kg. Starting from rest, she aims the fire extinguisher horizontally and squeezes the handle. Over the course of a few seconds, ∆m = 4.00 kg of carbon dioxide is ejected from the extinguisher with a speed of v = 20.0 m/s relative to the ground.
a) What is the total kinetic energy KE contained in the system (teacher+chair+extinguisher+ejected carbon dioxide) at the end of the demonstration? (You may neglect any friction in the wheels of the chair.)
b) As (∆m → 0), what does KE approach?
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