Homework Help: Algebra

Posted by Crystal on Friday, April 29, 2011 at 5:56pm.

The gravitational force between an object & the Earth is inversely proportional to the square of the distance from the object to the center of the Earth. If an astronaut weighs 210 lbs on the surface of the Earth, what will he weigh 100 miles above the Earth? Assume that the radius of Earth is 4,000 miles

Algebra - MathMate, Friday, April 29, 2011 at 6:07pm
210/4000² = x/(4000+100)²
Solve for x:
x=210*(4000/4100)²
Algebra - Damon, Friday, April 29, 2011 at 6:09pm
F = G M1Me/r^2
210 = G Me M1/4000^2
W = G Me M1 /(4100^2

W/210 = 4000^2/4100^2
W = 210 (4*10^3)^2/(4.1*10^3)^2
W = 210 (16/16.81)

Answer this Question

Related Questions

Algebra II - The force of attraction between the earth and some object is called...
Algebra II - The force of attraction between the earth and some object is called...
math - the force of gravity varies inversely as the square of the distance ...
physics - In what height the gravitational force with which earth exerts on any ...
physics - In what height the gravitational force with which earth exerts on any ...
Physics - I have a hard time solving this problem. The weight of an object at ...
physics - In the Earth–Moon system, there is a point where the ...
physics - if a stone at the end of a string is whirled in a circle, the inward ...
precalculus - The acceleration acting on a falling object due to gravity varies ...
space - What is the force of gravity at 220 miles above Earth's surface? ...

For Further Reading

First Name:
School Subject:
Answer: