Posted by ASD on .
Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on Earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: w=Cr^2 , where C is a constant, and r is the distance that the object is from the center of Earth.
a.Solve the equation w=Cr^2 for r. The answer I came up with is r^2=w/C: is this correct?
And would you please help me with b?
b.Suppose that 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 the Earth.)
Thank you!

Math 
ASD,
Ok, I went back and tried again. The equation I found when solving for r is r=sqrt(C/w)
Is this correct?
Then in b I would plug in the 100 for w, and the 3,963 for r to find the constant, C, correct? 
Math 
PsyDAG,
a is correct.
C = w/r^2
w = 100
r = 1/(3963)^2
Solve for C. 
Math 
ASD,
So would my equation be C=100/(3963)^2 ...I'm confused

Math 
ASD,
Please let me know if I did this correct for b...
100=C/(3,963)^2
100=C/15,705,369
100*C=(C/15,705,369)*C
100C=15,705,369
100C/100=15,705,369/100
C=157,053.69