posted by .

given that the radius of the earth is 6.37×10^3km and the period of revolution of the moon round the earth is 27.3 days, calculate the average distance from the earth to the moon.

  • physics -

    Well, you know the Gravitational Field Strength at Earth's surface, 9.8N/kg, and that this is reduced by distance squared, so at the moons location, it is...

    field strength= 9.8N/kg * (re/d)^2 where re is the radius of Earth, and d is the distance from the EArth cneter to the Moon center.

    This field strength is also equal to the acceleration falling toward EArth, so at the moon...


    9.8 re^2=4PI^2 d^3/period

    Solve for d change period in days to seconds first, and re to meters

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    Given that the distancef rom Earth to the Moon is 3.8 x 10^8 m, that the Moon takes 27 days to orbit Earth, and that the mass of the Moon is 7.4 x 10^22 kg, what is the acceleration of the Moon and the size of the attractive force …
  2. Physics

    You are flying to the Moon. Find the point at which the gravitational attractions of Earth and Moon on you will be equal and opposite. Given: radius of the moon: 1.74*10^6 m radius of the earth: 6.38*10^6 m orbital radius of the moon: …
  3. physics

    The moon is receding from the Earth by approximately 3.8 cm per year. Earth's mass is 5.98 x 10^24 kg, and its radius is 6.38 x 10^6 m. The Moon's mass is 7.3 x 10^22 kg, its radius is 1.79 x 10^6 m, and its orbital period around Earth …
  4. physics

    can you walk me through this problem At what distance from the Earth will a spacecraft on the way to the Moon esperience zero net force due to these two bodies because the EArth and Mon pull with equal and opposite forces?
  5. Physics

    A. Use the relation 2 m m m GM g R ƒ­ to find the acceleration due to gravity on the surface of the Moon. You can use the following data: Mass of the Moon m M = 7.35 ¡Ñ 1022 kg. Radius of the Moon m R = 1.74 ¡Ñ 106 m. B. How …
  6. Physics

    The average distance separating Earth and the Moon (center to center) is 384 000 km. Use the data in Table 7.3 to find the net gravitational force exerted by Earth and the Moon on a 3.00 multiplied by 104 kg spaceship located halfway …
  7. physics

    Moon is a natural satellite of the Earth, circling it with period (time of one revolution), T = 27,3 days. Radius of Moon’s orbit = 384,000 km. Find the acceleration of the Moon toward the Earth.
  8. Physics

    The Moon orbits the Earth at a distance of 3.85 x 108 m. Assume that this distance is between the centers of the Earth and the Moon and that the mass of the Earth is 5.98 x 1024 kg. Find the period for the Moon's motion around the …
  9. Physics

    The orbital period of the moon about the earth is approximately 27.3 days. given that the average earth-moon distance is 384,000 kilometers, predict the moon's speed using the expression for centripetal force and the gravitational …
  10. Physics

    Many astronomers argue that the Earth and Moon should be considered a double planet,since the gravitational force by the sun on the Moon is approximately as big as that by the Earth on the moon.Using the data below for the Earth and …

More Similar Questions