physics

posted by .

A satellite is in orbit about Earth. Its orbital radius is 7.51×107 m. The mass of the satellite is 5415 kg and the mass of Earth is 5.974×1024 kg. Determine the orbital speed of the satellite in mi/s. 1 mi/s = 1609 m/s.

  • physics -

    The velocity required to maintain a circular orbit around the Earth may be computed from the following:

    Vc = sqrt(µ/r)

    where Vc is the circular orbital velocity in feet per second, µ (pronounced meuw as opposed to meow) is the gravitational constant of the Earth, ~3.986365x10^14 ft.^3/sec.^2, and r is the distance from the center of the earth to the altitude in question in feet.

    Therefore,
    V = sqrt[3.986365x10^14/7.51x10^7]

  • physics -

    I am confused because the answer should be in mi/s.

  • physics -

    My apologies for the typo.

    The velocity required to maintain a circular orbit around the Earth may be computed from the following:

    Vc = sqrt(µ/r)

    where Vc is the circular orbital velocity in meters per second, µ (pronounced meuw as opposed to meow) is the gravitational constant of the Earth, ~3.986365x10^14 met.^3/sec.^2, and r is the distance from the center of the earth to the altitude in question in meters.

    Therefore,
    V = sqrt[3.986365x10^14/7.51x10^7]
    = 2303.926 met./sec.x3.281ft./met.
    = 7559 ft./sec.x1mile/5280ft.
    = 1.4316miles/sec.x3600sec./1 hour
    = 5154 mi/hr.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 satellite?
  2. Physics

    A satellite of mass 220 kg is launched from a site on Earth's equator into an orbit at 200 km above the surface of Earth. (a) Assuming a circular orbit, what is the orbital period of this satellite?
  3. physics

    A satellite is orbit about earth, its orbital radius is 3.43*10e7m.The mass of the satellite is 9166kg and the mass of earth is 5.974*10e24kg. Determine the orbital speed of the satellite in mi/s. 1mi/s=1609m/s.
  4. 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 …
  5. physics

    Two satellites are orbiting the Earth in stable circular orbits. Satellite A has a mass m and is located at a distance 2r from the center of the Earth. Satellite B has a mass 2m and is located at a distance r from the center of the …
  6. physics

    A satellite of mass 205 kg is launched from a site on Earth's equator into an orbit at 200 km above the surface of Earth. (a) Assuming a circular orbit, what is the orbital period of this satellite?
  7. 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 …
  8. math

    The orbital velocity of a satellite is given by v=√GM/R+h, where G= 6.67*10^-11 Nm^2kg^2, is the Universal Gravitational Constant, M=6*10^24 kg, is the mass of Earth, R=6.38*10^3 km, the orbit of the satellite, and h is artificial …
  9. math

    The orbital velocity of a satellite is given by v=√GM/R+h, where G= 6.67*10^-11 Nm^2kg^2, is the Universal Gravitational Constant, M=6*10^24 kg, is the mass of Earth, R=6.38*10^3 km, the orbit of the satellite, and h is artificial …
  10. Physics 20

    Astronomers launch a satellite to explore a nearby asteroid that has come dangerously close to the earth.The satellite begins orbit around the earth,with an orbital radius 6.85 X 10^3 Km, before being moved to an orbit about the asteroid …

More Similar Questions