physics

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.

1. 👍 0
2. 👎 0
3. 👁 107
1. 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/d)^2=V^2/d=(2PId/period)^2/d

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

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

1. 👍 0
2. 👎 0

Similar Questions

1. physics

Find the speed of a satellite in a circular orbit around the earth with a radius 2.69 times the mean radius of the earth; Radius Earth= 6.37E+3km; Mass Earth= 5.98E+24kg.

asked by Marie on March 11, 2014
2. physics

A 581 kg satellite is in a circular orbit about the Earth at a height above the Earth equal to the Earth's mean radius. the orbital speed is 5590.98 m/s. Find the period of its revolution.

asked by kaitlyn on December 12, 2010
3. Physics

the hubble telescope has a mass of 1.5 x 10^4 kg and its orbiting the earth 596 km above the ground surface.the earths radius is 6.38 x 10^3km. CAlculate a)the force of gravitation on the telescope due to the earth's pull. given:

asked by johnny on October 29, 2007
4. physics

An asteroid, whose mass is 2.0 10-4 times the mass of Earth, revolves in a circular orbit around the Sun at a distance that is 2.9 times Earth's distance from the Sun. (a) Calculate the period of revolution of the asteroid in

asked by gobind on April 8, 2007
5. Physic

What is the period of revolution of a satellite with mass m that orbits the earth in a circular path of radius 7820 km (about 1450 km above the surface of the earth)?

asked by Andrea on July 10, 2010

1. How does Earth’s rotation cause day and night? (1 point) As Earth rotates toward the east, the sun appears to rise in the west and set in the east. < this one As Earth rotates toward the east, the sun appears to rise in the

7. Science

1. How does Earth’s rotation cause day and night? (1 point) As Earth rotates toward the east, the sun appears to rise in the west and set in the east. As Earth rotates toward the east, the sun appears to rise in the east and set

8. Science

1. How does Earth’s rotation cause day and night? (1 point) As Earth rotates toward the east, the sun appears to rise in the west and set in the east. As Earth rotates toward the east, the sun appears to rise in the east and set

asked by Emery on February 7, 2019
9. Physics

Which direction (Eastwards or Westwards) in the sky would the Sun appear to move as seen by a stationary observer on the surface of the hypothetical planet that has a sidereal rotation (on its axis) period of 120 days, and a

asked by Leslie on October 12, 2012
10. Science

I just need my answers checked before I turn them in! thank you!!

asked by Alexander on February 10, 2019

More Similar Questions