Chapter 5: Problem 2
Describe a situation in which heat transfer occurs. What are the resulting forms of energy?
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Chapter 5: Problem 2
Describe a situation in which heat transfer occurs. What are the resulting forms of energy?
These are the key concepts you need to understand to accurately answer the question.
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A team of eight dogs pulls a sled with waxed wood runners on wet snow (mush!). The dogs have average masses of 19.0 kg, and the loaded sled with its rider has a mass of \(210 \mathrm{kg}\). (a) Calculate the magnitude of the acceleration starting from rest if each dog exerts an average force of 185 N backward on the snow. (b) What is the magnitude of the acceleration once the sled starts to move? (c) For both situations, calculate the magnitude of the force in the coupling between the dogs and the sled.
Even when shut down after a period of normal use, a large commercial nuclear reactor transfers thermal energy at the rate of \(150 \mathrm{MW}\) by the radioactive decay of fission products. This heat transfer causes a rapid increase in temperature if the cooling system fails \((1\) wat \(t=1\) joule/second or \(1 \mathrm{~W}=1 \mathrm{~J} / \mathrm{s}\) and \(1 \mathrm{MW}=1\) megawatt \()\). (a) Calculate the rate of temperature increase in degrees Celsius per second \(\left({ }^{\circ} \mathrm{C} / \mathrm{s}\right)\) if the mass of the reactor core is \(1.60 \times 10^{5} \mathrm{~kg}\) and it has an average specific heat of \(0.3349 \mathrm{~kJ} / \mathrm{kg}^{\circ} \cdot \mathrm{C}\). (b) How long would it take to obtain a temperature increase of \(2000^{\circ} \mathrm{C}\), which could cause some metals holding the radioactive materials to melt? (The initial rate of temperature increase would be greater than that calculated here because the heat transfer is concentrated in a smaller mass. Later, however, the temperature increase would slow down because the \(5 \times 10^{5}-\mathrm{kg}\) steel containment vessel would also begin to heat up.)
In very humid climates where there are numerous bodies of water, such as in Florida, it is unusual for temperatures to rise above about \(35^{\circ} \mathrm{C}\left(95^{\circ} \mathrm{F}\right)\). In deserts, however, temperatures can rise far above this. Explain how the evaporation of water helps limit high temperatures in humid climates.
What three factors affect the heat transfer that is necessary to change an object's temperature?
The brakes in a car increase in temperature by \(\Delta T\) when bringing the car to rest from a speed \(v .\) How much greater would \(\Delta T\) be if the car initially had twice the speed? You may assume the car to stop sufficiently fast so that no heat transfers out of the brakes.
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