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Physics

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PHYS 1030 R

Work and Power Report

|Work and Power |
| |Student |Friend |
| |Walking |Running |Walking |Running |
|Weight (F) in lb |145 |145 |165 |165 |
|Vertical Height (d) in ft|5’10” |5’10” |5’10” |5’10” |
|Time (t) to go up steps |5.18 |3.03 |4.45 |2.15 |
|in sec. | | | | |
|Work Done in ft-lb (W=Fd)|739.5 |739.5 |841.5 |841.5 |
|Power in ft-lb/s (P=W/t) |142.8 |244.1 |189.1 |391.4 |
|Horsepower (HP=P/550) |.260 |.444 |.344 |.712 |
|Watts 1hp=746W |194 |331 |257 |531 |

Questions:

1. Why is there a difference in horsepower for each person when they run up the steps rather than walk?

-There are different figures for horsepower due to the difference of each person’s weight, as well as the difference in each person’s speed. The more a person weighs the more power it requires to run up the steps.

2. Is it possible for a slower moving person to produce a higher horsepower than a faster moving person? If so under what circumstances? If not, why not?

-Yes, this is possible. If the slower person had an incredibly light weight but traveled very at a very slow speed, and the faster moving person had an incredibly heavy weight, yet traveled at a very fast speed; this would result in the slower person’s horsepower being LARGER than the faster person’s horsepower.

3. Describe, in detail, an experiment in which you could determine the power for a period of several hours. You must be able to tell how to measure the force and the distance to calculate work or your example will not be accepted.
-Okay, an experiment could be conducted with a car driving from the bottom of a large mountain, to the top of the large mountain. The height of the mountain in kilometers, measured from the bottom to the top, would be necessary. Along with the time it takes to get to the top. The speed could vary, or could start from 0 to 20 mph (measuring the time it took to get from 0 to 20) and increase by 20 mph, each hour, for three to four hours total. The weight of the car would be needed, in kilograms, order to calculate the work done. You would take the weight of the car and multiply it by the entire height of the mountain, from bottom to top. This would determine the work done in kilometers per kilograms.

4. A friend tells you that he/she has invented a 15 horsepower engine that can propel a car the size of a Honda Accord at freeway speeds. Is this possible? Would you invest in the venture?

-At freeway speeds, no. The weight of a Honda Accord would need much more than a 15 horsepower engine to reach 70 mph. I would ABSOULTELY keep my money!

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