Physics Honors

posted by .

Consider planet mass of 4.98 E 21 kilograms with a satellite orbitting it at distance of 3.11 E 6 meters from planet's center. Satellite has mass of 369 kilograms.

How long (inseconds) does it take the satellite to make one complete orbit around planet.

I just can't seem to get the correct answer - Please show me step by step.

Thanks

  • Physics Honors -

    You need to set the gravitational force equal to the centripetal force. The period will be independent of the satellite's mass (m when it is small compared to the planet mass M.

    GMm/R^2 = mV^2/R

    m cancels out, so

    GM/R = V^2

    The period P is related to the Orbit radius R and velocity V by

    V P = 2 pi R

    Therefore

    (2 pi R)^2/P^2 = GM/R
    R^3 * (4 pi^2/GM)= P^2

    G is the universal constant of gravity,
    6.67*10^-11 m^3 kg^-1 s^-2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. PHYSICS

    HELP. I need to understand this for a test tomorrow. THANKS Consider planet mass of 4.98 E 21 kilograms with a satellite orbitting it at distance of 3.11 E 6 meters from planet's center. Satellite has mass of 369 kilograms. How long …
  2. math

    A model of a planet shows a satellite moving in an elliptical orbit about the planet. The closest distance from the centre of the satellite to the centre of the planet in the model is 3 m and the longest distance is 8m. a) Determine …
  3. physics

    3) A satellite is orbiting Earth at a distance of 57 kilometers. The satellite has a mass of 96 kilograms. What is the force between the planet and the satellite?
  4. physics 12

    An 884 kg satellite in orbit around a planet has a gravitational potential energy of -5.44*10^10 J. The orbital radius of the satellite is 8.52*10^6 m and its speed is 7.84*10^3 m/s. A) What is the mass of the planet?
  5. physics

    A satellite orbits a planet at a distance of 3.80 108 m. Assume that this distance is between the centers of the planet and the satellite and that the mass of the planet is 3.90 1024 kg. Find the period for the moon's motion around …
  6. physics

    A satellite with a mass of ms = 7.00 × 103 kg is in a planet's equatorial plane in a circular "synchronous" orbit. This means that an observer at the equator will see the satellite being stationary overhead (see figure below). The …
  7. PHYSICS(HELP)

    A satellite with a mass of ms = 7.00 × 103 kg is in a planet's equatorial plane in a circular "synchronous" orbit. This means that an observer at the equator will see the satellite being stationary overhead (see figure below). The …
  8. physics

    A satellite with mass 6.00*10^3 is in the equatorial plane in a circular orbit. The planet's mass = 6.59 *10^25 and a day of length is 1.6 earth days. How far from the center (in m) of the planet is the satellite?
  9. physics

    A satellite with mass 6.00*10^3 is in the equatorial plane in a circular orbit. The planet's mass = 6.59 *10^25 and a day of length is 1.6 earth days. How far from the center (in m) of the planet is the satellite?
  10. Physics

    A satellite is orbiting a distant planet of mass 9.6e25 kg and radius 86700 km. The satellite orbits at a height of 8610 km above the surface of the planet. a) Determine the acceleration due to gravity at the location of the satellite …

More Similar Questions