Approximately one billion years ago, the Moon orbited the Earth much closer that it does today. The radius of the orbit was only 24,400 km. Today, the radius is 385,000 km. The orbital period was only 23,400 s. The present period is 2.36 x 10^6 s. Assume the orbit of the Moon is circular. Calculate the ratio of the speed of the Moon in its ancient orbit to the speed that it has today.

Approximately one billion years ago, the Moon orbited the Earth much closer that it does today. The radius of the orbit was only 24,400 km. Today, the radius is 385,000 km. The orbital period was only 23,400 s. The present period is 2.36 x 10^6 s. Assume the orbit of the Moon is circular. Calculate the ratio of the speed of the Moon in its ancient orbit to the speed that it has today.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 47PQ

See similar textbooks

Similar questions

Comet Halley (Fig. P11.21) approaches the Sun to within 0.570 AU, and its orbital period is 75.6 yr. (AU is the symbol for astronomical unit, where 1 AU = 1.50 1011 m is the mean EarthSun distance.) How far from the Sun will Halleys comet travel before it starts its return journey?
Consider the Earth's orbit around the Sun to be circular with radius R = 9.30 x 107 mi and it takes 365 days to complete one revolution. What is the distance Earth traveled for one revolution (circumference of a circle is 2??2πR )?
The mass of Mars is 6.42 × 10^23 kg. Its moon Phobos is 9.378 x 10^6 meters away from Mars, with a mass of 1.06 × 10^16 kg and a period of 7.66 hours. It's moon Deimos has a mass of 1.4762×10^15 kg and a period of 30.3 hours. a) Use Kepler's 3rd law to determine the orbital distance between Mars and Deimos? b) What is the tangential velocity of Phobos, using the formula v(tangential) = sqrt (G x m(central)/ r)? c) What is the gravitational force of attraction between Mars and Phobos.
Mars has an orbital radius of 1.523 AU and an orbital period of 687.0 days. What is its average speed v in SI units? (1 AU is the astronomical unit, the mean distance between the Sun and the Earth, which is 1.496×1011 m) a. 0.00221 AU/day b. 3838 m/s c. 0 d. 1.28×10−9 m/s
According to Lunar Laser Ranging experiment the average distance LM from the Earth to the Moon is approximately 3.82 x 105 km. The Moon orbits the Earth and completes one revolution relative to the stars in approximately 27.5 days (a sidereal month). Calculate the orbital velocity of the Moon in m/s.
The mass of Mars is 6.42 × 10^23 kg. Its moon Phobos is 9.378 x 10^6 meters away from Mars, with a mass of 1.06 × 10^16 kg and a period of 7.66 hours. It's moon Deimos has a mass of 1.4762x10^15 kg and a period of 30.3 hours. a) Use Kepler's 3rd law to determine the orbital distance between Mars and Deimos? b) What is the tangential velocity of Phobos, using the formula v (tangential) = sqrt (G x m(central)/ r)? c) What is the gravitational force of attraction between Mars and Phobos.
A planet’s orbital time period is 29.5 times higher than that of the earth’s orbital period. How far is that planet from the Sun, if the earth is 1.50×108 km away from the sun?
Venus and Earth both orbit the Sun. Assuming the orbits of these two planets are circles, find the ratio between their speeds in terms of their semi-major axes. Given that Earth's speed is 29.8 km s−1, find the speed of Venus as it orbits the Sun.
The Moon revolves around the Earth in a circle with a radius of 149380 km and it takes 2,340000s to make a complete revolution. The acceleration of the Moon towards the Earth: 0.01076 m/S O 0.001076 m/S O 0.0001076 m/S O 0.1076 m/S
At some point during their orbit, the location of the Earth and Moon relative to the Sun will be as shown in the figure below, with the Moon at the origin of the coordinate system, r. = (-3.84 x 10°j) m and r. = (-1.50 x 1011f) m. The mass of the Moon is 7.35 x 1022 kg, the Earth has a mass 5.97 x 1024 kg, and the Sun has a mass 2.00 x 1030 kg. What is the force experienced by the Moon due to the Sun and the Earth? Express your answer in vector form. net
At an altitude of 160 km above the earth's surface, a 3-kg mass is pushed vertically upward with a velocity of 16,000 km/h. Using the radius of the earth equal to 6357 km, calculate the maximum distance from the earth's surface reached by the mass. Present your answer in km using 4 significant figures.
Titan, the largest moon of Saturn has a mean orbital radius of 1.22x10^9 m. The orbital period of Titan is 15.95 days. Hyperion, another moon of Saturn orbits at a mean radius of 1.48x10^9 m. Predict the orbital period of Hyperion in days.