Purchase Solution

# Acceleration due to gravity above Earth

Not what you're looking for?

"How far above the Earth's surface will the acceleration due to gravity be a quarter of what it is on the surface?"

I tried to use the g' = (G * m) / r^2 equation (with the mass of the earth as "m") because it was used with a somewhat similar problem in my book about the value of g on the top of Mount Everest, but I came up with a ridiculous number.

Can you tell me how to do this problem correctly?

##### Solution Summary

The acceleration due to gravity above the Earth is determined. How far above the earth's surface will the acceleration due to gravity be a quarter of what it is on the surface is computed.

##### Solution Preview

Hi,
To begin with, I'd like to say you were on the right track when you used g=G*m/r^2 but I guess something went wrong in your calculation. I'm going to suggest 2 approaches: one of them quick and intuitive, the other a more brute force method that will succeed if the first way doesn't occur to you.

Method 1
since G and m are constants regardless of your height above the earth, the only variable here is "r", ie distance to the centre of ...

##### The Moon

Test your knowledge of moon phases and movement.

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

##### Basic Physics

This quiz will test your knowledge about basic Physics.

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.