PLEASE HELP!!!!!!!!!

Question

The gravitational force, F, between an object and the Earth is inversely proportional to the square of the distance from the object and the center of the Earth. If an astronaut weighs 218 pounds on the surface of the Earth, what will this astronaut weigh 2050 miles above the Earth? Assume that the radius of the Earth is 4000 miles. (Round off your answer to 1 decimal place.)

Answer 1

Okay with proportionality problem  always helps for us to calculate the constant of proportionality pushing the given information

 

F = K / R^ 2

 

where K is the constant of Proportionality

 

218 = K / ( 4000^2)

 

k = 288000000

 

now using this value of K we can find t weight of the astronaut 2050 miles above earth

 

F = (288000000) / (6050^2) = 7.9 pounds

 

 

so the astronaut weighs 7.9 pounds 6050miles from the center of the earth.

K =