Consider the setup in Figure 1. In the setup, there is a volume of water with mass mw in an insulated container. Submerged in the water are a set of paddles, connected to a spindle. The spindle has an ideal string wrapped around it and is connected to a hanging mass m,. Assume the water and paddles are ina sealed, insulated container. Furthermore, considered the system to be the water (everything else is the environment). Upon release of the hanging mass the temperatureof the water begins to increase. a) What object(s) is/are doing work on the water? Please justify your answer. b) Is this an example of heating or work? Please justify your answer. c) What conditions are necessary such that the work done on the water is: W=mgh? Hint: Technically it is the force of tension that is spinning the paddles. So, how are the weight of the mass and the tension related? d) Once the mass is released it begins to fall at a constant speed. What must h be such that the temperature of the water increases by AT=T;? Please justify any assumptions you make. e) Now assume the mass is released, but it now accelerates at a rate of a=. What power is put into the water while increasing its temperature by AT=T:? Please give your answer

College Physics
11th Edition
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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Please Answer Questions C and D and E

DO NOT ANSWER A and B

Thermometer
Insulated, known
volume of water
Figure 1: A falling mass is used to do work on water in an insulated container.
Consider the setup in Figure 1. In the setup, there is a volume of water with mass m, in an
insulated container. Submerged in the water are a set of paddles, connected to a spindle. The
spindle has an ideal string wrapped around it and is connected to a hanging mass mp. Assume
the water and paddles are ina sealed, insulated container. Furthermore, considered the system
to be the water (everything else is the environment). Upon release of the hanging mass the
temperatureof the water begins to increase.
a) What object(s) is/are doing work on the water? Please justify your answer.
b) Is this an example of heating or work? Please justify your answer.
c) What conditions are necessary such that the work done on the water is: W=mgh? Hint:
Technically it is the force of tension that is spinning the paddles. So, how are the weight
of the mass and the tension related?
d) Once the mass is released it begins to fall at a constant speed. What must h be such
that the temperature of the water increases by AT=T;? Please justify any assumptions
you make.
e) Now assume the mass is released, but it now accelerates at a rate of a=. What power is
put into the water while increasing its temperature by AT=T;? Please give your answer
in terms of m,, mw, Cw, g, and h.
Transcribed Image Text:Thermometer Insulated, known volume of water Figure 1: A falling mass is used to do work on water in an insulated container. Consider the setup in Figure 1. In the setup, there is a volume of water with mass m, in an insulated container. Submerged in the water are a set of paddles, connected to a spindle. The spindle has an ideal string wrapped around it and is connected to a hanging mass mp. Assume the water and paddles are ina sealed, insulated container. Furthermore, considered the system to be the water (everything else is the environment). Upon release of the hanging mass the temperatureof the water begins to increase. a) What object(s) is/are doing work on the water? Please justify your answer. b) Is this an example of heating or work? Please justify your answer. c) What conditions are necessary such that the work done on the water is: W=mgh? Hint: Technically it is the force of tension that is spinning the paddles. So, how are the weight of the mass and the tension related? d) Once the mass is released it begins to fall at a constant speed. What must h be such that the temperature of the water increases by AT=T;? Please justify any assumptions you make. e) Now assume the mass is released, but it now accelerates at a rate of a=. What power is put into the water while increasing its temperature by AT=T;? Please give your answer in terms of m,, mw, Cw, g, and h.
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