physics

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.

1. 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

posted by drwls
2. 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.

posted by tchrwill

First Name

Similar Questions

1. physics

A satellite is in a circular orbit around the Earth at an altitude of 3.30 106 m. (a) Find the period of the orbit. (Hint: Modify Kepler's third law so it is suitable for objects orbiting the Earth rather than the Sun. The radius
2. physics

NASA launches a satellite into orbit at a height above the surface of the Earth equal to the Earth's mean radius. The mass of the satellite is 550 kg. (Assume the Earth's mass is 5.97 1024 kg and its radius is 6.38 106 m.) (a) How
3. force of gravity

A satellite orbits around the earth. The mass of the satellite is 1170 kg, and its altitude is 220 km. The mass of the earth is 5.98×1024 kg. The radius of the earth is 6.38×106 m. 1)What is the gravitational force on the
4. physics

Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth's center. Satellite A is to orbit at an altitude of 7460 km. Satellite B is to orbit at an altitude of 20500 km. The radius of
5. physics

Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth's center. Satellite A is to orbit at an altitude of 7460 km. Satellite B is to orbit at an altitude of 20500 km. The radius of
6. physics

4(a) What is the magnitude of the gravitational force of the Earth on a surveillance satellite of mass 1040 kg that is in a grazing circular orbit 100 km above the surface of the Earth. (b) Find the magnitude of the acceleration
7. physics

A satellite circles the earth in an orbit whose radius is 2.01 times the earth's radius. The earth's mass is 5.98 x 1024 kg, and its radius is 6.38 x 106 m. What is the period of the satellite?
8. Math

When a satellite is h kilometres above Earth,the time,t,in minutes,to complete one orbit is given by the formula t=Root of (6370+h)^3/6024 a) A telecommunications satellite is placed 30 km above Earth. How long does it take the
9. physics

A satellite of mass 225 kg is launched from a site on Earth's equator into an orbit at 200 km above the surface of Earth. (The mass of the Earth is 5.98 1024 kg, and the radius of the Earth is 6.38 103 km.) (a) Assuming a circular
10. Phyiscs

A satellite circles the earth in an orbit whose radius is 2.07 times the earth's radius. The earth's mass is 5.98 x 1024 kg, and its radius is 6.38 x 106 m. What is the period of the satellite?

More Similar Questions