21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 9, Problem 36QP
(a)
To determine
Total force on the top of your head.
(b)
To determine
Mass of the kangaroo.
(c)
To determine
Numbers of kangaroos sitting on man’s head.
(d)
To determine
Whether the person is crushed by the massive force on head.
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The chart shows the length of time for each planet, in Earth days, to make one complete
revolution around the Sun.
Orbital Period of Planets iY
the Solar System
Orbital Period
(Earth days)
88
225
365
687
4333
10 759
30 685
60 189
Planet
Mercury
Venus
Earth
Mars
Jupiter
Satum
Uranus
Neptune
Source: NASA
Use the data table above to compare the length of a year on Mars and Neptune. (HS-ESS1-4)
a. One year on Neptune is almost 100 times longer than a year on Mars.
b. One year on these two planets is nearly equal.
c. One year on Mars is almost 100 times longer than a year on Neptune.
d. One year these two planets is roughly equal to a year on Earth.
Use the data table above to determine which of the following statements is TRUE. (HS-ESS1-4)
a. There is no relationship between a planet's distance from the Sun and its length of
year.
b. The closer a planet is to the Sun, the longer the planet's year.
c. One year on all planets is about 365 days long.
d. The farther away a planet is from the…
The Mars Robotic Lander for which we are making these calculations is designed to return samples of rock from Mars after a long time of collecting samples, exploring the area around the landing site, and making chemical analyses of rocks and dust in the landing area. One synodic period is required for Earth to be in the same place relative to mars as when it landed.
Calculate the synodic period (in years) using the following formula:
1/Psyn = (1/PEarth) - (1/PMars)
where PEarth is the sidereal period of the Earth (1 year) and PMars is the sidereal period of Mars.
If 3/4 of a Martian year was spent collecting samples and exploring the terrain around the landing site, calculate how long the Mars Robotic Lander expedition took!
I. Directions: Complete the given table by finding the ratio of the planet's time of revolution to its radius.
Average
Radius of
Orbit
Times of
Planet
R3
T2
T?/R3
Revolution
Mercury
5.7869 x 1010
7.605 x 106
Venus
1.081 x 1011
1.941 x 107
Earth
1.496 x 1011
3.156 x 107
1. What pattern do you observe in the last column of data? Which law of Kepler's does this seem to support?
II. Solve the given problems. Write your solution on the space provided before each number.
1. You wish to put a 1000-kg satellite into a circular orbit 300 km above the earth's surface. Find the
following:
a) Speed
b) Period
c) Radial Acceleration
Given:
Unknown:
Formula:
Solution:
Answer:
Given:
Unknown:
Formula:
Solution:
Answer:
Given:
Unknown:
Formula:
Solution:
Answer:
Chapter 9 Solutions
21st Century Astronomy
Ch. 9.1 - Prob. 9.1CYUCh. 9.2 - Prob. 9.2CYUCh. 9.3 - Prob. 9.3ACYUCh. 9.3 - Prob. 9.3BCYUCh. 9.4 - Prob. 9.4CYUCh. 9.5 - Prob. 9.5CYUCh. 9 - Prob. 1QPCh. 9 - Prob. 2QPCh. 9 - Prob. 3QPCh. 9 - Prob. 4QP
Ch. 9 - Prob. 5QPCh. 9 - Prob. 6QPCh. 9 - Prob. 7QPCh. 9 - Prob. 8QPCh. 9 - Prob. 9QPCh. 9 - Prob. 10QPCh. 9 - Prob. 11QPCh. 9 - Prob. 12QPCh. 9 - Prob. 13QPCh. 9 - Prob. 14QPCh. 9 - Prob. 15QPCh. 9 - Prob. 16QPCh. 9 - Prob. 17QPCh. 9 - Prob. 18QPCh. 9 - Prob. 19QPCh. 9 - Prob. 20QPCh. 9 - Prob. 21QPCh. 9 - Prob. 22QPCh. 9 - Prob. 23QPCh. 9 - Prob. 24QPCh. 9 - Prob. 25QPCh. 9 - Prob. 26QPCh. 9 - Prob. 27QPCh. 9 - Prob. 28QPCh. 9 - Prob. 29QPCh. 9 - Prob. 30QPCh. 9 - Prob. 31QPCh. 9 - Prob. 32QPCh. 9 - Prob. 33QPCh. 9 - Prob. 34QPCh. 9 - Prob. 35QPCh. 9 - Prob. 36QPCh. 9 - Prob. 37QPCh. 9 - Prob. 38QPCh. 9 - Prob. 39QPCh. 9 - Prob. 40QPCh. 9 - Prob. 41QPCh. 9 - Prob. 42QPCh. 9 - Prob. 43QPCh. 9 - Prob. 44QPCh. 9 - Prob. 45QP
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- Describe two anomalous features of the rotation of Venus and what might account for them.arrow_forwardWhy is pluto not considered a major planet? Explain.arrow_forwardVenus has an average distance to the sun of 0.723 AU. How do you calculate the orbital period of venus, and then calculate itarrow_forward
- Which Jovian planet revolves on its side and has retrograde rotation? (16.5) (a) Jupiter (b) Neptune (c) Uranus (d) Saturnarrow_forwardThe day on Mars is 1.026 Earth-days long. The martian year lasts 686.98 Earth-days. The two moons of Mars take 0.32 Earth-day (for Phobos) and 1.26 Earth-days (for Deimos) to circle the planet. You are given the task of coming up with a martian calendar for a new Mars colony. Would a solar or lunar calendar be better for tracking the seasons?arrow_forwardContrast the mountains on Mars and Venus with those on Earth and the Moon.arrow_forward
- Which of the following statements concerning the terrestrial planets is false? (16.4) (a) Mercury and Venus can never be in opposition. (b) All have magnetic fields except Venus. (c) All rotate clockwise as viewed from above the North Pole. (d) They are relatively close to the Sun.arrow_forwardThe table below lists the average distance R to the Sun and orbital period T of the first planets: Distance Orbital Period Mercury 0.39 AU 88 days Venus 0.72 AU 225 days Earth 1.00 AU 365 days Mars 1.52 AU 687 days (a) Calculate the average distance of Mercury, Venus and Mars to the Earth. Which one of these planets is the closest to Earth on average? (b) Calculate the average distance of Mercury, Venus and Earth to Mars. Which one of these planets is the closest to Mars on average? (c) What do you expect for the other planets? Hint: Assume circular orbits and use symmetries to make the distance calculation easier. You can approximate the average distance by using four well-chosen points on the planet's orbit.arrow_forwardDescribe the orientation and the shape of the motion of the orbits of the major planets?arrow_forward
- A)At what altitude would a geostationary sattelite need to be above the surface of Mars? Assume the mass of Mars is 6.39 x 1023 kg, the length of a martian solar day is 24 hours 39minutes 35seconds, the length of the sidereal day is 24hours 37minutes 22seconds, and the equatorial radius is 3396 km. The answer can be calculated using Newton's verison of Kepler's third law.arrow_forwardWhat is the angular diameter of Saturn (in arc seconds) as seen from Earth when the two planets are farthest apart?arrow_forwardEstimate the distance between Venus and Earth in km and AU. Express your answer using two significant figures.arrow_forward
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