How much work does a 120 pound boy do in climbing to the top of the Washington Monument - a climb of 550 feet? If the climb in problem 2 takes 20 minutes, what is the average horsepower produced by the boy?
This is a physics question, not a math question, although you need to use math to soilve it.
The work done is 120 x 550 foot-pounds.
Divide that by the time required (in seconds) to get the power in ft-lb per second.
Then use the conversion factor for horsepower.
1 horsepower is defined as 550 foot-pounds per second
You may be surprised at the answer.
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To calculate the work done by the boy in climbing to the top of the Washington Monument, we need to use the formula:
work = force * distance,
where force is the weight of the boy and distance is the height of the climb.
1. Calculate the work:
The weight of the boy is given as 120 pounds. However, we need to convert this weight from pounds to the unit of force called newtons. We know that 1 pound is approximately equal to 4.45 newtons. So, we can convert the weight as follows: 120 pounds * 4.45 newtons/pound = 534 newtons.
Now, we can calculate the work done by the boy: work = force * distance = 534 newtons * 550 feet = 293,700 newton-feet.
2. Calculate the average horsepower produced by the boy:
We can use the formula for horsepower to calculate this. One horsepower is equal to 550 foot-pounds per second.
Given that the climb takes 20 minutes, we first need to convert this time to seconds. There are 60 seconds in a minute, so 20 minutes * 60 seconds/minute = 1,200 seconds.
Now, we can calculate the average horsepower: average horsepower = work / time.
work = 293,700 newton-feet,
time = 1,200 seconds.
average horsepower = 293,700 newton-feet / 1,200 seconds = 244.75 foot-pounds per second.
Therefore, the average horsepower produced by the boy is approximately 244.75 foot-pounds per second.