the weight of a body above the surface of earth varies inversely with the square of the distance from the center of the earth. if maria weighs 125 pounds when she is on the surface of the earth(3960 miles from the center),determine maria weight if she is at the top of mount McKinley(3.8 miles above the surface of the earth)

To solve this problem, we can use an inverse square relationship formula:

Weight ∝ 1/distance^2

First, let's find the distance from the center of the earth to the top of Mount McKinley by adding the height of Mount McKinley (3.8 miles) to the radius of the Earth (3960 miles):

Distance = 3960 + 3.8 = 3963.8 miles

Now, we can set up a proportion to find Maria's weight at the top of Mount McKinley.

Weight on the surface of the Earth / Weight at the top of Mount McKinley = (Distance at the top of Mount McKinley)^2 / (Distance on the surface of the Earth)^2

125 / Weight at the top of Mount McKinley = (3963.8)^2 / (3960)^2

Now, we can solve for the weight at the top of Mount McKinley by cross-multiplying and dividing:

Weight at the top of Mount McKinley = (125 * (3963.8)^2) / (3960)^2

Calculating this expression will give us the weight of Maria at the top of Mount McKinley.