Homework Assignment #14Work and Energy – Part 31. A portable kerosene heater can supply 31,900,000 J of energy per hour. a. If the heat is 100% efficient, how much fuel, in kg, is burned per hour? b. If the heater is 80% efficient, how much fuel, in kg, is burned per hour?2. A computer uses 100 W of electric power, all of which is released as heat. a. How many amps are required when it is plugged into a 110 V wall socket? b. How many Joules of heat are released per minute by the computer, assuming all power is converted into heat? c. To keep the computer at ambient temperature, the heat generated must be removed. Forthis purpose, a muffin fan is included in the computer. If the muffin fan brings in air at 25°C and exhausts it at 35°C, how many kg/min of air must pass through the computer to remove the heat being generated? d. How many cubic meters of air must the fan pull through the computer per minute to meet this requirement? (HINT: density = mass/volume; see pp. 295)3. An electric motor drives a pulley that lifts a 4456 N load 6 m into the air. How much work in Joules is done by lifting the load? If the load can be lifted in 1 minute, how much electrical power is required? If the power is supplied by a 110 volt socket, how many amps are required?4. A pump is to increase the pressure from 10,000 N/m2 to 40,000 N/m2 and have a flow through rate of 5 m3 /minute. a. How much hydraulic power would the pump be providing, in J/s? b. How many Watts of power would this require to operate this pump? 5. An automobile delivers 50 hp.a. How much power, in kW, is delivered?b. For a car to deliver 50 hp, what must the rpm rate be if the car delivers 100 ft-lbs of torque?6. Consider your body as an engineered system that can be analyzed using the universal accounting equation.a. If you eat apple pie with ice cream (12.5% of a 9 inch diameter pie; 4 ounces of ice cream) you have taken into your system 450 kilocalories of energy. Which term in the right side of the UAE (i.e., work, energy, fuel) would you use to represent this change inyour body as the system? b. Which term on the left side of the UAE (i.e., kinetic energy, potential energy, internal energy) would change by the same amount?c. If the energy that is stored as fat in your body is 9000 cal/g, how many grams of fat are added to your body from your dessert?d. How many Joules are in 450 kilocalories of energy?e. If you now climb to the fourth floor of the LLC, which terms in the UAE change?f. What is the magnitude of this change in Joules if you weigh 75 kg and the height you climb is 15 m?g. How many Joules of your apple pie ala mode would you burn if you climbed to the fourth floor of the dorm (15m higher than the dining room), assuming that you have a mass of 75 kg and your body works at an efficiency of 20%?h. How many times would you need to climb the stairs to completely burn all of the dessert, again assuming your body works at 20% efficiency?i. What happens to the other 80% of the energy and which term in the UAE would be usedto account for this energy?j. If you used all the calories in a candy bar (250,000 kilocalories), how much could you raise the temperature of an 8 oz. glass of water (8 oz. = 0.23