Posted by **Anonymous** on Monday, October 31, 2011 at 11:10pm.

An artificial satellite circling the Earth completes each orbit in 139 minutes. (The radius of the Earth is 6.38 106 m. The mass of the Earth is 5.98 1024 kg.)

(a) Find the altitude of the satellite.

- physics -
**drwls**, Monday, October 31, 2011 at 11:50pm
Equate the gravitational force,

GmM/R^2, to the centripetal force, m V^2/R

M is the Earth's mass and G is the universal constant, which you need to look up. Satellite mass m cancels out.

Substitute 2 pi R/(139*60) for the velocity, V (in m/s).

Solve for the remaining variable R.

The satellite altitude is H = R - Rearth

- physics -
**tchrwill**, Tuesday, November 1, 2011 at 10:46am
The orbital period of a satellite derives from

T = 2(Pi)sqrt(r^3/µ) where T = the period in seconds

Pi = 3.14

r = the orbital radius in feet and

µ = the earth's gravitational constant = 1.407974x10^16 ft^3/sec^2.

139(60)= 2(3.14)sqrt(r^3/1.407974x10^16)

Solving for r = 5523.6 miles making the altitude 1560.6 miles = 2511km.

## Answer this Question

## Related Questions

- physics - A satellite is in a circular orbit around the Earth at an altitude of ...
- physics - NASA launches a satellite into orbit at a height above the surface of...
- force of gravity - A satellite orbits around the earth. The mass of the ...
- physics - A satellite circles the earth in an orbit whose radius is 2.01 times ...
- physics - 4(a) What is the magnitude of the gravitational force of the Earth on ...
- Phyiscs - A satellite circles the earth in an orbit whose radius is 2.07 times ...
- physics - A satellite of mass 225 kg is launched from a site on Earth's equator...
- physics - Two Earth satellites, A and B, each of mass m, are to be launched into...
- physics - Two Earth satellites, A and B, each of mass m, are to be launched into...
- Physics - A satellite moves in a circular orbit around the Earth at a speed of 5...

More Related Questions