Posted by **Bobbie** on Tuesday, October 14, 2008 at 7:37pm.

determine the distance from earths centre where the force of gravity acting on a space probe is only 11% of the force acting on the same probe at earths surface. Express your answer in terms of earths radius, rE

- Physics -
**bobpursley**, Tuesday, October 14, 2008 at 8:14pm
Force is inversely prop to distance squared, so...

.11=1/(distance/rE)^2

- Physics -
**Damon**, Tuesday, October 14, 2008 at 8:15pm
F = G Me m/R^2

Fe= G Me m/Re^2

F/Fe = 11/100 = 1/R^2 / 1/Re^2 = Re^2/R^2

11/100 = Re^2/R^2

R/Re = sqrt(100/11) = 10/sqrt 11

= 3.01

so

R = 3.01 Re

- Physics -
**drwls**, Tuesday, October 14, 2008 at 8:17pm
The force of gravity is proportional to 1/r^2, where r is measured from the center of the earth. Therefore

(r/rE)^-2 = 0.11

r/rE = sqrt (1/0.11) = sqrt 9.09 = 3.015

## Answer this Question

## Related Questions

- Physics - The mass of an object at the earths surface is 100 kg. Calculate the ...
- physics - with earths mass 6 x 10^24 kg and radius6.38 x 10^6, how does the ...
- College Physic I - A space probe is traveling in outer space with a momentum ...
- Physics - A space probe is traveling in outer space with a momentum that has a ...
- Physics - A space probe is traveling in outer space with a momentum that has a ...
- physics - A space probe is traveling in outer space with a momentum that has a ...
- Physics - A space probe is traveling in outer space with a momentum that has a ...
- science - Earths mass is 6 x 10^24kg and its radius is 6.38 x 10^6m (6380 km ). ...
- physics - A 7.00 104-kg space probe is traveling at a speed of 12000 m/s through...
- physics - A 5.50 104 kg space probe is traveling at a speed of 11000 m/s through...

More Related Questions