Power Problems

Note that Power = work/time ore energy/time. You will often be given power quantities and time and will be asked to find energy.

 

1. The summit of Mt. Everest is 29,028 ft above sea level. A) How much work would it take for you (use your own weight) to climb to the top? Give your answer in ft-lbs and in Joules. The energy for this task comes from the food you eat. My favorite is peanut M&Ms which have an energy content of 12 Calories per piece. How many M&Ms do you need to pack for the trip? C) the answer to part B seems low. Where else could the energy go?
(Note: the Calorie (capital C) used in dietary applications is really a
kilocalorie = 4185 Joules So what is the Joule content of an M&M?

2. The Sun's energy illuminates the Earth at a rate of 1400 W/m2. This number is called the solar constant. A) Flatten the earth into a pancake whose radius is 6.37 x 10^6 m. How many square meters are there on the side of the pancake that faces the sun? B) How many watts are incident on the Earth at any given moment? C) The aforementioned pancake is part of a sphere that has as a radius the :Earth-sun distance.(1.5 x 10^11 m) What fraction of the surface area of this spherical shell .is the area of the pancake? D) What is the energy output of the sun?

3. The sun shines on a pond, delivering energy at a rate of 1400W/m^2. The pond has an area of 100 m^2 and an average depth of .1 m. Assume ideal conditions and calculate the time required to raise the temperature 5 oC. You should know that the density of water is 1 g/cm^3. The specific heat of water is 4.185 Joules/g oC.

4. At peak operating capacity, the pressurized water reactor at Maine Yankee in Wiscasset converted nuclear fuel at a rate of one gigawatt. How much energy was produced in a typical hour? (measured in kw-hrs please). At 10 cents per kw-hr, what was the company's income for the hour?