Applications Variation

Question

TheThe gravitational Force F between an object and the Earth is inversely proportional to the square of the distance from the object to the Center of the Earth if an astronaut weighs 215 lb on the surface of the Earth what will this astronaut weigh 400 miles above the Earth assume that the radius of the Earth is 4000 miles

Answer 1

F_E=K/(4000)²

F_E+400=K/(4400)²

F_E+400/F_E=4000²/4400²=x/215

x=(16/19.36)*215