UNIVERSE (LOOSELEAF):STARS+GALAXIES
6th Edition
ISBN: 9781319115043
Author: Freedman
Publisher: MAC HIGHER
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Chapter 4, Problem 47Q
To determine
The importance of the discovery of Neptune for the confirmation of Newton’s law of universal gravitation.
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Use the Law of Gravitation with Kepler's third Law to determine the mass of the
Sun. Don't forget to include units!
Please answer the question and subquestions completely! This is one whole question which has subquestions! According to the official Bartleby guidelines, each question can have up to two subquestions! Thank you!
1)
The weight of a 0.60 kg object at the surface of Planet V is 20 N. The radius of the planet is 4 x 10 6 m. Find the gravitational acceleration at a distance of 2 x 10 6 m from the surface of this planet.
8.9 m/s2
11 m/s2
13 m/s2
18 m/s2
A)
An object accelerates if it:
changes the direction of its velocity but not the magnitude
changes the magnitude of the velocity but not the direction
changes its speed
all of the above
none of the above
B)
A car starts from rest and in ten seconds is moving at 40 m/s. What is the car's acceleration?
0.250 m/s2
2.50 m/s2
4.00 m/s2
10.0 m/s2
40.0 m/s2
none of the above
What is planetary motion through Kepler's law?
Chapter 4 Solutions
UNIVERSE (LOOSELEAF):STARS+GALAXIES
Ch. 4 - Prob. 1QCh. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - Prob. 6QCh. 4 - Prob. 7QCh. 4 - Prob. 8QCh. 4 - Prob. 9QCh. 4 - Prob. 10Q
Ch. 4 - Prob. 11QCh. 4 - Prob. 12QCh. 4 - Prob. 13QCh. 4 - Prob. 14QCh. 4 - Prob. 15QCh. 4 - Prob. 16QCh. 4 - Prob. 17QCh. 4 - Prob. 18QCh. 4 - Prob. 19QCh. 4 - Prob. 20QCh. 4 - Prob. 21QCh. 4 - Prob. 22QCh. 4 - Prob. 23QCh. 4 - Prob. 24QCh. 4 - Prob. 25QCh. 4 - Prob. 26QCh. 4 - Prob. 27QCh. 4 - Prob. 28QCh. 4 - Prob. 29QCh. 4 - Prob. 30QCh. 4 - Prob. 31QCh. 4 - Prob. 32QCh. 4 - Prob. 33QCh. 4 - Prob. 34QCh. 4 - Prob. 35QCh. 4 - Prob. 36QCh. 4 - Prob. 37QCh. 4 - Prob. 38QCh. 4 - Prob. 39QCh. 4 - Prob. 40QCh. 4 - Prob. 41QCh. 4 - Prob. 42QCh. 4 - Prob. 43QCh. 4 - Prob. 44QCh. 4 - Prob. 45QCh. 4 - Prob. 46QCh. 4 - Prob. 47QCh. 4 - Prob. 48QCh. 4 - Prob. 49QCh. 4 - Prob. 50QCh. 4 - Prob. 51QCh. 4 - Prob. 52QCh. 4 - Prob. 53QCh. 4 - Prob. 54QCh. 4 - Prob. 55QCh. 4 - Prob. 56QCh. 4 - Prob. 57QCh. 4 - Prob. 58Q
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- The Great Red Spot is a massive, oval, ruddy spot that is prominent in photographs of Jupiter. How may this main characteristic be applied to predict the planet's rotation period?arrow_forwardA synchronous satellite, which always remains above the same point on a planet's equator, is put in circular orbit around Neptune so that scientists can study a surface feature. Neptune rotates once every 16.1 h. Use the data of this table to find the altitude of the satellite. kmarrow_forwardJupiter has a mass of 1.9×10^27 kg, a radius of 7.1×10^4 km and one day lasts 9 hours and 55 minutes. How many times is the force of gravity bigger on Jupiters equator comared to Earth?arrow_forward
- The mass of Jupiter is 1/1047 of the Sun's mass (that's 0.000955). We want to confirm this using Newton's version of Kepler's Third Law, following the examples in Lecture 7. We'll use the approximate data for two different moons of Jupiter to see how close the results are. Pick the closest answer in each case: (a) Ganymede is the third moon from the inside. It has an orbital period around Jupiter of approximately 0.0194 Earth years. Its semimajor axis is 0.0071 AU. Which of these comes closest to the mass of Jupiter (in solar masses) when using these data? (b) Europa is the second moon from the inside. It has an orbital period around Jupiter of approximately 0.0096 Earth years. Its semimajor axis is 0.0045 AU. Which of these comes closest to the mass of Jupiter (in solar masses) when using these data?arrow_forwardSaturn's mass is M= 5.69 x 1026 kg and its radius R=60,300 km. If a moon orbits Saturn at a distance equal to 5 times its planetary radius, what is its period of orbit? (Hint, use Newton's version of Kepler's 3rd law, and you can neglect the mass of the moon) Express your answer in days to three significant figures.arrow_forward4000 km O Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Europa Ganymede Jupiter Callisto Titan Saturn Triton Neptune Suppose the moon of a planet has a mass of 1/93th the mass of the planet it is orbiting (note: the moons shown above actually are even a smaller fraction than that!). What is the ratio of the force the moon applies to the planet compared to the force the planet applies to the moon? (Express your answer as a number--don't enter anything like A:B or A/B, just the single number you get by dividing A by B.)arrow_forward
- Estimate the length of period of Neptune assuming that the length of the semimajor axis of the ellipse is a = 449.51 x 101º m. For Earth, a = 15.0 × 1010 m. (Use decimal notation. Give your answer to two decimal places.)arrow_forwardIf the semi-major axis, a, is measured in AU and the orbital period, p, is measured in years, then Kepler's 3rd law allows us to calculate the mass of the object they are orbiting using the following equation: M = a3/p2 Furthermore, the mass that is calculated by this equation is given in solar masses (MSun) where, by definition, the Sun's mass is 1 MSun. Now, suppose I were to tell you that the mass of Jupiter is equal to 4.5e7 MSun. Does the stated mass of Jupiter make sense? Group of answer choices - Yes - No, it's too big. - No, it's too smallarrow_forwardIf the semi-major axis, a, is measured in AU and the orbital period, p, is measured in years, then Kepler's 3rd law allows us to calculate the mass of the object they are orbiting using the following equation: M = a3/p2 Furthermore, the mass that is calculated by this equation is given in solar masses (MSun) where, by definition, the Sun's mass is 1 MSun. Now, suppose I were to tell you that the mass of Jupiter is equal to 4.5e7 MSun. Does the stated mass of Jupiter make sense? it is to big or to small or makes sensearrow_forward
- Which of Kepler's law can be used to estimate the mass of a distant star system based on the period and semimajor axis of its planet?arrow_forward10 Jup Europa Figure I Ganymedearrow_forwardActivity 3: Analyzing Data: Kepler's Third Law Direction: The data table below shows the mean orbital velocity and mean distance of planets from the sun. Study the table and answer the questions that follow. Planet Mean Orbital Velocity and Mean Distance to the Sun Мercury Venua Earth Mars Jupiter Saturn Uranus Neptune Mean Orbit 47.87 35.02 29.79 24.13 13.07 9.67 6.84 5.48 Velocity in kmis Mean 0.39 0.72 1.00 1.52 5.20 9.54 19.19 30.07 Distance to the Sun (a) in Astronomic al Units (AU) Questions: 1. Do planets that are farther from the sun travel faster than those which are nearer? 2. How does the distance from the sun of a planet affect the planet's orbital velocity? 3. Suppose a hypothetical planet-Planet X, located between Mars and Jupiter, has been discovered. How would the mean orbital velocity of Planet X compare to that of Earth and Saturn?arrow_forward
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Kepler's Three Laws Explained; Author: PhysicsHigh;https://www.youtube.com/watch?v=kyR6EO_RMKE;License: Standard YouTube License, CC-BY