I am still on this weight and elevation question.
w=Cr^2 for r= r= quare root c/w
Suppose that an object is 100 pounds at sea level. find the vlaue of C tat makes sense. Sea level is 3963 miles from the center of the earth.
Wouldn't this be 100=C/(3963)^2
C=(3963)^2x100?
To find the value of C that makes sense in the equation w = Cr^2, where r = square root(c/w), we need to use the given information that an object weighs 100 pounds at sea level, which is 3963 miles from the center of the earth.
Let's substitute the given values into the equation:
w = 100 pounds
r = square root(c/w) = square root(c/100)
Now, we need to substitute the value of r into the equation w = Cr^2:
100 = C * (square root(c/100))^2
Simplifying the equation:
100 = C * (c/100)
10000 = C * c
Now, we can solve for C. Since we know that sea level is 3963 miles from the center of the earth, we can substitute this value for c:
10000 = C * 3963
Dividing both sides by 3963:
C = 10000 / 3963
So the value of C that makes sense in this case is approximately 2.524.