b. From the above data, determine the period of Europa, the distance between Jupiter and Ganymede, and the speed of Callisto. Show all work. 7. The brightest four moons of Jupiter were discovered by Galileo with one of his earliest telescopes.These moons, lo, Europa, Ganymede, and Callisto, are called the Galilean moons in his honour.Some of the available data about these moons are given below.MOONr (km)VT (earthyears)0.004837loEuropaGanymedeCallisto4.219 x1056.712 X1051.853 x1060.0195884The radii are from the centre of Jupiter to the centre of the moon in question. One earth year has365 days.a. Using the data for above, find the mass of Jupiter. Be specific as to which line of data wasused and why. Show all work.b. From the above data, determine the period of Europa, the distance between Jupiter andGanymede, and the speed of Callisto. Show all work.

Given: Four brightest moon and table for Moons To Find: period of Europa, distance between Jupiter…

Answered: b. From the above data, determine the…

b. From the above data, determine the period of Europa, the distance between Jupiter and Ganymede, and the speed of Callisto. Show all work.

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 9PQ

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7. The brightest four moons of Jupiter were discovered by Galileo with one of his earliest telescopes. These moons, lo, Europa, Ganymede, and Callisto, are called the Galilean moons in his honour. Some of the available data about these moons are given below. MOON r (km) V T (earthyears) 0.004837 lo a. Europa Ganymede Callisto 4.219 x 105 6.712 x 105 1.853 x 106 0.0195884 The radii are from the centre of Jupiter to the centre of the moon in question. One earth year has 365 days. Using the data for above, find the mass of Jupiter. Be specific as to which line of data was used and why. Show all work.
Question 3. Astronomers are consistently finding new moons of Jupiter, both big and small. Suppose astronomers discovered a new moon called Yelruh that orbits a distance of 5.63x108 m from the surface of Jupiter. Using the information for another moon of Jupiter, calculate Yelruh's orbital period.
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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:
You land on Mars and observe that one of its moons (Phobos) has an orbital period of 7.66 hours. If the Phobos were farther from Mars than it is now, it’s period would be a) less than 7.66 hrs. b) about 7.66 hrs. c) more than 7.66 hrs. d) difficult to predict without more information.
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1. The diameter of the Sun is equal to 1.392*10^9 m, and the distance from the Sun to Saturnis equal to 9.5 AU. Suppose you want to build an exact scale model of the solar system,and you are using a volleyball with average diameter of 21 cm to represent the Sun. a) In your scale model, how far away would Saturn be from the Sun? Give your answer inmeters.b) The actual diameter of Saturn is 116,460 km. What would be Saturn’s diameter in yourscale model? Give your answer in centimeters.
Until recently, the term "planet" had no clear-cut definition. In August of 2006, leading astronomers established new guidelines and declared that Pluto is no longer a planet. Which of the following is either false or least consistent with the new guidelines? Group of answer choices Pluto is by far the largest known object in the Kuiper belt, while Eris is the largest known object in the asteroid belt. A planet must have cleared the neighborhood around its orbit. Pluto is automatically disqualified from being a planet because its oblong orbit overlaps with Neptune's. A planet must have sufficient mass for its self-gravity to overcome rigid body forces so that it assumes a nearly round shape. Pluto and the asteroid Ceres are both now classified as dwarf planets.
Suppose a Moon takes 15.8 days to orbit its host planet. Convert this orbital period into Earth years (365.25 =1 Earth year). a. 0.0431-0.0435 b. 0.0331-0.0335 c. 0.0231-0.0235 d. 0.0131-0.0135
Comet Halley has a semi-major axis of 17.7 AU. (The AU, or Astronomical Unit, is the distance from the Sun to the Earth. 1 AU = 1.50x1011 m.) The eccentricity of Comet Halley is 0.967. a. How far is Comet Halley from the sun at Aphelion, the farthest position from the sun? (Give your answer in AU.)? b. What is comet Halley's orbital time? (Give your answer in years.) Note: Using Kepler's third law in the form: P2 = a3 is convenient. This equation works for any object orbiting the sun when the orbital period is in years and the semi major axis is in AU. The reason this works is because this equation is normalized to earth. The AU and year are both 1 for Earth. c. In what year will Comet Halley start to move back toward the sun?
Saturn’s moon Mimas has an orbital period of T= 82,800 s at a distance of d= 1.87 × 10^8 m from Saturn. Using Kepler's 3rd law listed below for mass to determine Saturn’s mass. You must show your calculations for credit.
2. On August 27, 2003, the planet Mars was at a distance of 0.373 AU from Earth. The diameter of Mars is 6788 km. a) Calculate the angular diameter of Mars, as seen from Earth on August 27, 2003. Give your answer in arcminutes.