**Educational Content:****Calculate the Orbital Velocity**Calculate the orbital velocity (in km/s) of a ring particle that orbits $ 1.25 \times 10^5 $ km from the center of Jupiter.**Roche Limit for Jupiter**What is the Roche limit (in km) for Jupiter?**Find the Closest Moon**Find the moon in the table below that is closest to this radius. What is its orbital velocity (in km/s)?---**Selection of Principal Satellites of the Solar System**| Primary | Satellite | Radius (km) | Distance from Primary (10^3 km) ||---------|-------------|---------------|---------------------------------|| **Jupiter** | Amalthea | 135 × 100 × 78 | 182 || | Io | 1,820 | 422 || | Europa | 1,560 | 671 || | Ganymede | 2,630 | 1,071 || | Callisto | 2,410 | 1,884 || | Himalia | ~85 | 11,470 || **Saturn** | Janus | 110 × 80 × 100| 151.5 || | Mimas | 196 | 185.5 || | Enceladus | 260 | 238.0 || | Tethys | 530 | 294.7 || | Dione | 560 | 377 || | Rhea | 765 | 527 || | Titan | 2,575 | 1,222 || | Hyperion | 205 × 130 × 110| 1,484 || | Iapetus | 720 | 3,562 || | Phoebe | 105 | 12,930 |---The table lists some principal satellites of Jupiter and Saturn, providing details such as their radius and distance from their primary planet. **Part 1 of 3**The circular velocity equation can be used to determine the orbital velocity of a ring particle.\[ v = \sqrt{\frac{GM}{r}} \]Calculate the orbital velocity of a ring particle that orbits $ 1.25 \times 10^5 $ km from the center of Jupiter.\[ v = \sqrt{\frac{GM}{\_\_\_\_\_\_\_}} \, \text{m} \]\[ v = \_\_\_\_\_\_\_ \, \text{km/s} \]*Explanation:* - The formula $ v = \sqrt{\frac{GM}{r}} $ calculates the orbital velocity (`v`) based on the gravitational constant (`G`), the mass of the central object (`M`), and the radius of the orbit (`r`).- The problem requires determining the orbital speed for a ring particle at a radius of $ 1.25 \times 10^5 $ km from Jupiter.- The given details are used to fill in the blanks in the calculation, using the values of `G` and `M` for Jupiter.

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Part 1 of 3 The circular velocity equation can be used to determine the orbital velocity of a ring particle. GM Calculate the orbital velocity of a ring particle that orbits 1.25 x 10° km from the center of Jupiter. GM %3D km/s

Part 1 of 3 The circular velocity equation can be used to determine the orbital velocity of a ring particle. GM Calculate the orbital velocity of a ring particle that orbits 1.25 x 10° km from the center of Jupiter. GM %3D km/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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