1. Rubbing your hands together warms them by converting work into thermal energy. If a woman rubs her hands back and forth for a total of 16 rubs, at a distance of 7.5 cm per rub, and an average frictional force of 37 N: a) What is the amount of energy transfered to heat? Q= b) What is the temperature increase if the mass of the tissue warmed is 0.100 kg and the specific heat capacity of the tissue is 3.49 kJ/(kg °C)? AT= °C
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- b. Check your sol 3. Newton's law of cooling relates the temperature and the time of a cooling substance. A pan of cookies is removed from a 350 degree oven and put on a counter to cool. X-70 T(x) = -2.5log2.72 ( is used to find the amount of time (in minutes) that has passed since the cookies were taken out of the oven as a function of x, the current temperature of the cookies in ° Fahrenheit. What will be the temperature of the cookies after waiting for 5 minutes? %3D 280 1517.A car at rest accelerates at 6 m/s2. How far (in meter) does it travel in the first 3 seconds? 8.A car engine with engine efficiency 40% burns gasoline and does 500 Joule work to drive the car. How much heat (in Joule) is produced from gasoline burning (hot source)? 9.The specific heat of water is 1.0 cal/gram oC. 100 gram hot water at 100 oC is mixed with 300 gram cold water at 20 oC. What is the final equilibrium temperature (in oC) of the mixed water? complete questions answrs pleaseA cup of hot coffee sits on your desk. Assume that the thermal energy in the coffee can be converted with an efficiency of 100%% to gravitational potential energy of the coffee-Earth system-enough so that the coffee rises up above the rim of the cup. Let the height of the coffee rise by 3.4 cm. Find the magnitude of the drop in temperature needed to accomplish this energy conversion. Use c = 4180 J/kg⋅C for coffee.
- 9. Which of the following cases (if any) requires the greatest amount ofheat? In each case the material is the same. (a) 1.5 kg of the material is tobe heated by 7.0 C8. (b) 3.0 kg of the material is to be heated by 3.5 C8.(c) 0.50 kg of the material is to be heated by 21 C8. (d) 0.75 kg of thematerial is to be heated by 14 C8. (e) The amount of heat required is thesame in each of the four previous cases.1. A typical tablet battery recharger provides 10 Watts of power. 60% of this power is converted to chemical potential energy of the battery while the rest is lost as heat. When filled, the rechargeable battery can hold 45,000 Joules of chemical energy. How long does it take to completely charge the drained battery?8. An electric kettle was used to heat a liter of water. Determine the heat needed (kJ) to bring the temperature of the water to its boiling point assuming that the initial temperature of the water is 20°C. Use Specific heat of water as 4.187kJ/kg-K. Derive with the formula below, show the cancellation, explain the step by step and draw a free body diagram/figure. refer with this: PE1 + KE1 + U1 + WF1 + Q1 + W1 = PE2 + KE2 + U2 + WF2 + Q2 + W2 + E losses.
- 13. The coyote is driving a car travelling at 12 m/s chasing the road-runner. The coyote breaks the steering wheel when the road-runner takes a left turn. The coyote applies the breaks with a deceleration of 0.5 m/s². How long does it take the car to come to rest?. 14. How much heat is required to warm 34 kg of water by 27 °C? (constant: specific heat for water is 4186.0 J/kg°C)2. As an example of microscopic thermodynamic analysis based on thermal-energy microstates, the figure to the right illustrates two systems (A and B), each containing two indistinguishable particles and possible energy levels from 1 to 8, with a particle residing in a given energy level having the same amount of energy as the level (e.g., a particle in energy-level 4 has 4 units of energy). The combined systems have a fixed total of 12 units of energy. Assuming that energy can be exchanged between the two systems, calculate the difference in entropy between condition #1 where the left-hand side has 8 units of energy and the right-hand side has 4 units of energy compared to condition #2 when the two sides reach their equilibrium condition. Note that the figure just shows one example of a configuration for condition #1. A 8 8 7 7 6 4 4 2 2 1 1Book: Sustainable Energy, Si Edition, 2nd Edition by Richard A. Dunlop Chapter 15 - Problem 6. Assume that geothermal heat transfer (at least near the surface of the earth) is by conduction through the crust rocks. For an average geothermal heat flow of 0.087 W/m2 and typical thermal gradient of 1008C/km, calculate the thermal conductivity of the rock. Compare with the known thermal conductivities of similar materials given in Chapter 8.
- 17. A 1 kg cube of lead is heated from 12.5 °C to 65.4 °C. How much energy is required to heat the lead ? (assume: specific heat for lead is 0.129 J/ gºC) SINDI 18. A block of mass 12 kg is pushed along a smooth frictionless surface with a two constant forces, F₁ = 100 N at the angle of 100 above the horizontal, and the F₂ = 50 N at the angle of 200 above the horizontal. The block is displaced 2.6 m. Calculate the total work done by block.1. The boiling temperature of water is 100 °C. If you put boiling water in a mug placed at the table top, you observed that after some time the water cools down, decreasing the temperature of water in the mug. Why is this so? Explain using the Zeroth Law of Thermodynamics.Q2.3 Solar houses are designed to retain the heat absorbed during the day so that the stored hear can be released during the night. A botanist produces steam at 100 during the day and then allows the steam to cool to 0 °C and freeze during the night. How many kilograms of water are needed to store 200 kJ of energy for the process? (Use the laten heat of vaporization of water L. = 22.6 105 J/ Kg, the laten heat of fusion of water Lr= 33.5 × 104 J/Kg, and the specific heat capacity of water c = 4186 J/kg. C. Hint: you need to use both the formula of the heat Q = mcVT and Q = mL)