Posted by **Lorie** on Monday, April 1, 2013 at 1:51pm.

The gravitational acceleration, g, on the Earth is proportional to the mass, M, of the Earth and inversely proportional to the square of the distance, r, from the Earth's center. If the gravitational acceleration on the center of the Earth is 9.8 m/s^2, what is the gravitational acceleration at a distance of 6,404,000km from the center of the Earth. The Earth has a radius of 6,378,000m and has a mass of 5.97 x 10^24kg. Give answer to two decimal places.

- Math -
**Steve**, Monday, April 1, 2013 at 3:30pm
since F = GMm/r^2

and we are changing only r, then if we change r by a factor of k, F changes by a factor of 1/k^2

6,404,000/6,378,000 = 1.0040765, so

F changes by a factor of 1/1.0081696 = 0.992

so, F = 0.992 * 9.8 = 9.72 m/s^2

- Math -
**Anonymous**, Wednesday, December 3, 2014 at 5:21pm
Physics

## Answer this Question

## Related Questions

- Algebra - The gravitational force between an object & the Earth is inversely ...
- Physics help quick! - 22. What does it mean for a force to act in accordance ...
- Physics - I have a hard time solving this problem. The weight of an object at ...
- Physics - What is the distance from the Earth's center to a point outside the ...
- phy - What is the distance from the Earth's center to a point outside the Earth ...
- physics - What is the distance from the Earth's center to a point outside the ...
- physics - What is the distance from the Earth's center to a point outside the ...
- colllege physics - What is the distance from the Earth's center to a point ...
- Astro - What is the distance in meters from the Earth's center to a point out-...
- precalculus - The acceleration acting on a falling object due to gravity varies ...