The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from th
e center of the earth. A particular person weighs 192 pounds on the surface of the earth and the radius of the earth is 3900 miles. Determine the equation that relates weight, W, to the distance from the center of the earth, d, for this person. Answer choices on picture.
<span>The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth.
</span>The distance the person is from the center of the earth: d
W=K/d^2
W=192 pounds, d=R: Radius of the earth=3900 miles Replacing in the equation above: 192=K/3900^2
Solving for K: 192=K/15,210,000 192*15,210,000=K 2,920,320,000=K K=2,920,320,000