SOLUTION: c. Use the value of C you found in the previous question to determine how much the object would weigh in i. Death Valley (282 feet below sea level) ii. The top of Mt McKinl

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: c. Use the value of C you found in the previous question to determine how much the object would weigh in i. Death Valley (282 feet below sea level) ii. The top of Mt McKinl      Log On


   



Question 127600: c. Use the value of C you found in the previous question to determine how much the object would weigh in
i. Death Valley (282 feet below sea level)
ii. The top of Mt McKinley (20,430 feet above sea level)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
W=Cr%5E%28-2%29 Start with the given equation


W=C%281%2Fr%5E2%29 Rewrite r%5E%28-2%29 as 1%2Fr%5E2


W=C%2Fr%5E2 Multiply


So we're going to use the equation W=C%2Fr%5E2 for parts i) and ii)


i)

In order to do this problem, we need to convert 282 feet into miles. To do this, simply multiply 282 feet by 1_mile%2F5820_feet like this:




So 282 feet is equivalently 0.05341 miles.

Now simply subtract 0.05341 miles from 3963 miles. We're subtracting because the distance should shrink (ie we're getting closer to the center, so the distance should be smaller)

3963-0.05341=3962.94659


So the distance from the center of the earth to death valley is about 3,962.94659 miles



W=C%2Fr%5E2 Start with the given equation


W=1570536900%2F0.05341%5E2 Plug in C=1570536900 and r=3962.94659


W=1570536900%2F15704945.6751927 Square 3962.94659 to get 15,704,945.6751927


W=100.002695487243 Divide


So the object now weighs 100.002695 pounds




ii)

First convert 20,430 feet to miles




So 20,430 feet is 3.86932 miles


Now add 3.86932 miles to 3963 miles. We're add because the distance should get larger (ie now we're moving away from the center, so the distance should increase)

3963%2B3.86932=3966.86932


So the distance from the center to the peak is about 3,966.86932 miles



W=C%2Fr%5E2 Start with the given equation


W=1570536900%2F3966.86932%5E2 Plug in C=1570536900 and r=3966.86932


W=1570536900%2F15736052.2019572 Square 3,966.86932 to get 15,736,052.2019572


W=99.8050133441131 Divide


So the object now weighs 99.805013 pounds