Posted by **Leila** on Sunday, May 20, 2012 at 4:29pm.

When the space shuttle (mass of the shuttle = 2 x10^6 kg) was at the outer limit of Earth's atmosphere (distance = 350 km above Earth's surface), astronauts measured the gravitational force from Earth to be equal to 1.7 x 10^7 newtons. Assuming that both Earth and the shuttle are point masses, calculate the gravitational force of Earth on the shuttle when the shuttle was at the limit of the mesosphere, i.e., at 90 km from Earth's surface. Also, what is the gravitational force the shuttle exerts on Earth at this same point?

- Physics -
**Damon**, Sunday, May 20, 2012 at 6:21pm
F = G Mearth Mshuttle /r^2

G , Mearth and Mshuttle are the same

so

F r^2 = same

F1 r1^2 = F2 r2^2

F2 = F1 r1^2/r2^2

F1 = 1.7*10^7

r1 = 350*10^3 + 6.38*10^6 = 6.73*10^6 meters

r2 = 90*10^3 + 6.38*10^6 = 6.47*10^6 meters

so

F2 = 1.7*10^7 (6.73/6.47)^2

= 1.7 *10^7 * 1.082

= 1.84 * 10^7 Newtons

Newton's third law applies o the second part of the question.

## Answer This Question

## Related Questions

- Physics help please - The space shuttle orbits at a distance of 335 km above the...
- Physics - What is the Earth's gravitational force on you when you are standing ...
- Physics - The space shuttle is in a 3e+5 m high orbit over the earth. The radius...
- Physics - A 6.80 x 10^4 kg space shuttle moving at 7.90 x 10^4 m/s reenters the...
- physics - Calculate Earth’s gravitational force on the Shuttle astronauts while ...
- Physics - Many people mistakenly believe that the astronauts that orbit the ...
- PHYSICS HEELLPPP!! - Many people mistakenly believe that the astronauts who ...
- Physics - Many people mistakenly believe that the astronauts who orbit the Earth...
- Physics - Suppose the space shuttle is in orbit 430 km from the Earth's surface...
- Physics ASAP - Suppose the space shuttle is in orbit 390 km from the Earth's ...

More Related Questions