The gravitational force that earth exerts on an object is inversely proportional to the square of the distance between the center of the earth and the object. when bill is on the surface of earth, 4,000 miles from the center, the gravitational force is 600 newtons. what is the gravitational force (in newtons) that the earth exerts on him when he's standing on the moon, 240,000 miles from the center of the earth? express your answer as a fraction.

Step-by-step explanation:

Let d be the distance from Bill to the center of the Earth and f be the gravitational force that the Earth exerts on him. Since f is inversely proportional to , for some constant k. Since the force when Bill is on the surface of Earth is 600 Newtons, . Therefore, if we let x be the force that the Earth acts on Bill with when he is on the Moon,

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2