The problem is to determine the weight of an object in various places using the following equation: w – Cr^-2, where C is a constant, and r is the distance that the object is from the center of the earth.
a. Solve the equation w = Cr^-2 for r.
b. Supposed 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.)
c. Use the value of C you found in the previous question to determine how much the object would weigh in:
Death Valley (282 feet below sea level)
The top of Mt. McKinley (20,430 feet above sea level)