SOLUTION: w=Cr^-2 Where C is a constant, and r is the distance that an object is away from the center of the Earth. Suppose an object is 100 pounds when it is at sea level. Find the v

Algebra ->  Rational-functions -> SOLUTION: w=Cr^-2 Where C is a constant, and r is the distance that an object is away from the center of the Earth. Suppose an object is 100 pounds when it is at sea level. Find the v      Log On


   



Question 482249: w=Cr^-2
Where C is a constant, and r is the distance that an object is away from the center of the Earth.
Suppose an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (sea level is 3,963 miles from the center of Earth.)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given:

w=C%28r%5E-2%29......->...C=w%2F%28r%5E-2%29
.....->...C=w%2F%281%2Fr%5E2%29......->...C=wr%5E2
r=3963
w=100

Find C:
C=wr%5E2
Plug in the values to find C.
C=100%2A3963%5E2
C=100%2A15705369
C=1570536900