AP Physics Ch 13

Problems with Heat, Mechanical Energy

1. In order to raise the temperature of 1.0 kg of a substance from 0oC to 100oC, 47,000 J of heat are needed. What is the specific heat of the substance? What is the substance?

2. How much heat is given off when 0.5 kg of water is cooled from 110oC to -10.0oC?

3. If all the potential energy of a waterfall 100 m high is converted into thermal energy, what is the temperature difference between the top and bottom of the falls?

4. If 10.0 g of water at 20oC is poured into 100 g of water at 80oC, what is the final temperature?

5. A 100 g sample of an unknown metal at a temperature of 95oC is poured into a 140 g aluminum calorimeter containing 200 g of water. If the initial temperature of the water and calorimeter was 16oC and the final temperature was 20oC, find the specific heat of the unknown metal.

6. What must be the initial velocity of a silver (Ag) bullet at a temperature of 20oC so that the heat developed when it is brought to a complete stop shall be sufficient to melt it?

7. How much steam at 100oC is required to melt 1.0 kg of ice at 0oC?

8. A 1500 W heater is submerged into 1 kg of water that is well below 100oC. At what rate, in oC/s, does the temperature rise when the heater is operating at its rated power?

9. An automobile having a mass of 1900 kg and traveling at a speed of 30 m/s is braked smoothly to a stop without skidding in 15 s.

a) How much energy is dissipated in the brakes?

b) What is the average power delivered to the brakes during stopping?

c) If the total heat capacity of the braking system is 3000 J/oC, what is the temperature rise of the brakes during the stop?

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