& EST Estimate (a) the average distance between Earth and the Moon and (b) the diameter of the Moon, using the following data: the period of the Moon**#x2019;s revolution around Earth ( T M ≈ 28 days) , the average radius of Earth ( R E = 6400 km) , free-fall acceleration of objects near Earth’s - surface ( g = 9.8 m/s 2 ) , and the data in Figure Q5.15 . The numbers on the photos are the times when the photos were taken (hh:mm:ss). Indicate any assumptions that you made. (Hint: Use Kepler’s third law.)
& EST Estimate (a) the average distance between Earth and the Moon and (b) the diameter of the Moon, using the following data: the period of the Moon**#x2019;s revolution around Earth ( T M ≈ 28 days) , the average radius of Earth ( R E = 6400 km) , free-fall acceleration of objects near Earth’s - surface ( g = 9.8 m/s 2 ) , and the data in Figure Q5.15 . The numbers on the photos are the times when the photos were taken (hh:mm:ss). Indicate any assumptions that you made. (Hint: Use Kepler’s third law.)
& EST Estimate (a) the average distance between Earth and the Moon and (b) the diameter of the Moon, using the following data: the period of the Moon**#x2019;s revolution around Earth
(
T
M
≈
28
days)
, the average radius of Earth
(
R
E
=
6400
km)
, free-fall acceleration of objects near Earth’s - surface
(
g
=
9.8
m/s
2
)
, and the data in Figure Q5.15. The numbers on the photos are the times when the photos were taken (hh:mm:ss). Indicate any assumptions that you made. (Hint: Use Kepler’s third law.)
According to Kepler's third law of planetary motion, the mean distance D, in millions of miles, from a planet in our solar system to the sun is related to the time P, in years, that it takes for the planet to complete a revolution around the sun, and the relationship is
D = 93P 2/3.
It takes the planet Pluto 248 years to complete a revolution around the sun. What is the mean distance from Pluto to the sun? What is the mean distance from Earth to the sun? Give your answers to the nearest million miles.
from pluto to sun _____ million miles
from earth to sun _____ million miles
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 Moon has a period of 27.3 days and a mean distance of 3.9x105 km from its center to the center of Earth.
Using the data in the previous problem for the period and radius of revolution of the Moon, predict what the mean distance from Earth's center would be for an artificial satellite that has a period of exactly 1.00 day.
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