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Figuring for Yourself. Always show your work.
27. Calculate the wind speed at the edge of Neptune's Great Dark Spot, which was 10,000 km
in diameter and rotated in 17 days. (Hint: recall a circle circumference=2 x pie x radius).
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- Conclusion(s) and evidence from investigation: 1. What is the relationship between mass and gravity? 2. How is mass and gravity relevant to the formation of the solar system? (think about the sun) 3. Describe the shape of the solar system. 4. Describe the composition (what it is made of) of the solar system. 5. Describe the revolution (orbit) of the solar system. 6. Identify an anomaly (doesn't match the rest) in the data and propose an explanation for it. 7. What were some patterns you found in the columns? List at least 2. 8. Which is the best evidence that the solar system was created from accretion? Explain why. (There may be more than 1!)Problem 4. Physical Features of the Giant Planets: Volume and Density of Jupiter (Palen, et. al. 1st Ed. Chapter 8 Problem 57 ) Jupiter is an oblate (Links to an external site.) planet with an average radius of 69,900 km, compared to Earth’s average radius of 6,370 km. How many Earth volumes could fit inside Jupiter? Jupiter is 318 times as massive as the Earth. How does Jupiter’s density compare (Links to an external site.) to that of Earth?1. Suppose you have an Oort cloud comet on an orbit with pericenter distance 10,000 AU, and apocenter distance 20,000 AU. a. What are the semi-major axis and eccentricity of the orbit? b. What are the specific energy (energy per unit mass), and specific angular momentum (angular momentum per unit mass) of the comet? c. How fast is the comet moving at apocenter (relative to the Sun)?
- Pointers: 1. Use 6 decimals for the value of K when solving applications. 2. Format of answer: Provide 2 decimals and place a space before the unit. Example: 123.45_m 3. No unit for population 4. When writing equations with e, provide no space and write exp. Example: u=70-52exp(-0.29t) OBJECTIVES: 1. Determine the velocity of escape of a particle on Ganymede considering g-6.1x10^-3 miles/s^2. The acceleration of gravity at surface is 0.12g and the size of Ganymede is roughly 3560miles. From what pattern was Bernoulli's differential equation derived from? In Bernoulli's DE, the value of n should not be equal to 0 or 1. What is the end De, if n =0? 2. 3. 4. In the following DE, (3x+6y+2)dx-(2x+4y)dy, what should be the first substitution? 5. In the following DE, (3x+6y+2)dx+(2x+4y)dy, what method can be used? 6. What is the integrating factor for the homogenous DE, (dz/dx)+zcot x = -x PROBLEM SOLVING 1: A substance from outdoors with temperature of 18 degrees Celsius was brought inside…Choose the correct answer. Briefly explain and show your solution. Thank you.Procedure Table 11.1 presents Djup and Pday for the major Jovian satellites. First use these data and the equation above to calculate Jupiter’s mass in kilograms (kg). Enter your results in the table for each satellite. Next calculate the average Jupiter mass (Mjup, av) and enter the result in the table. Finally, calculate the percent difference (PD) using Mjup, av and the standard value for Jupiter’s mass (1.9 X 1027 kg). In the calculation of PD you can ignore 1027 because it will appear in both numerator and denominator. ________________________________________________________ Table 11.1 Calculated values for Jupiter’s Mass Satellite Djup Pday Mjup Io 2.95 1.77 Europa 4.69 3.55 Ganymede 7.50 7.15 Callisto 13.15 16.7 __________________________________________________________ Average Jupiter Mass = Percent Difference =
- b. From the above data, determine the period of Europa, the distance between Jupiter and Ganymede, and the speed of Callisto. Show all work.1. What do we call the process by which sunlight causes chemical reactions, forming (among other things) the compounds that color the clouds of Jupiter and Saturn? 2.Which of these best describes Jupiter's Great Red Spot and Neptune's Great Dark Spot?lo Europa Ganymede Callisto Orbital Period (Days) 2 3.57 7.12 16.43 Mass Calculation Amplitude (Jupiter Diameters) 0.00311048 0.00460952 0.2087671 Average: 0.01285714 Mass of Jupiter as determined by Orbital Period (Years) a3 P2 lo: Con vert ↓ Europa: Ganymede: Callisto: 0.00547345 0.00978082 0.01950685 All values should be 3 significant figures! Examples: 6.44x104 or 5.78 or 0.00752 0.0450137 You now have P (period) and a (semi major axis) for each moon orbiting Jupiter. Using the following equation, calculate the mass of Jupiter as measured by each moon. Then average. M≈ Semi Major Axis (AU) 3.266 (This is a modified Kepler's 3rd law which only works if units of AU, Years, and Solar mass are used) 4.84 7.62 13.5 Solar Masses Solar Masses Solar Masses Solar Masses Solar Masses
- Using Appendix G, complete the following table that describes the characteristics of the Galilean moons of Jupiter, starting from Jupiter and moving outward in distance. Table A This system has often been described as a mini solar system. Why might this be so? If Jupiter were to represent the Sun and the Galilean moons represented planets, which moons could be considered more terrestrial in nature and which ones more like gas/ice giants? Why? (Hint: Use the values in your table to help explain your categorization.)Title 1. Why are the belts and zones on Saturn less distinct than those on Jupiter? 2. Why do astronomers. Description 1. Why are the belts and zones on Saturn less distinct than those on Jupiter? 2. Why do astronomers conclude that none of the Jovian planets' rings can be left over from the formation of the planets? 3. How can a moon produce a gap in a planetary ring system?surface of the alien planet. Assume the planet has a negligible atmosphere. (Enter the magnitude in m/s?.) m/s2 Heed Help? Read It MY NOTES ASK YOUR TEACHER 2 Points] SERPSE10 4.3.OP.007.MI. 0/6 Submissions Used DETAILS In a local bar, a customer slides an empty beer mug down the counter for a refill. The helght of the counter is 1.24 m. The mug slides off the counter and strikes the floor 0.20m from the base of the counter. (a) With what velocity did the mug leave the counter? m/s (b) What was the direction of the mug's velocity just before it hit the floor? ° (below the horizontal) Need Help? Read It Master It MY NOTES ASK YOUR TEACHER SERPSE10 4.3.OP.008. 1/6 Submissions Used DETAILS PREVIOUS ANSWERS [2/2 Points] To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of 310 m/s at 48.0° above the horizontal. It explodes on the mountalnside 40.0 s after firing. 9/10/2020 6:25 PM の e Type here to search PoUp PoDn End PrtScn Home 8.
