12. Complete the chart for escape velocities. Mass (kg) 5.98x1024 Radius (m) 6.38x106 Object Vescape (m/s) (km/h) Vescape Earth 1.74x10 7.15x107 7.35x1022 1.90x1027 Мoon | Jupiter
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- (a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77 days. Assuming the orbit is circular, calculate the mass of Jupiter, (b) The largest moon of Jupiter, named Ganymede, has an orbital radius of 1.07 109 m and a period of 7.16 days. Calculate the mass of Jupiter from this data, (c) Are your results to parts (a) and (b) consistent? Explain.12. Complete the chart for escape Radius (m) 6.38x106 1.74x10 7.15x107 velocities. Mass (kg) 5.98x1024 7.35x1022 Object V. Vescape (m/s) (escape (km/h) Earth Мoon Jupiter 1.90x10277. A planet of gravitational field g = 11.5 N/kg and a radius of 7000 km will have how much escape velocity?
- 16. Calculate the escape speed of a planet with a radius of 1569 km and a gravitational acceleration of 1.30 m/s².3. The gravitational acceleration at Earth's surface (ga) is about 10 m/s? and ge = GM/R2. What is g, at the surface of a planet with 2X Earth's mass and 3X Earth's radius?3. The gravitational acceleration at Earth's surface (ge) is about 10 m/s? and ge = GM/R?. What is gp at the surface of a planet with 2X Earth's mass and 3X Earth's radius?
- 4. Compute the differential tidal force AF exerted on the Earth by Mars when it's at opposition. Express your result as a numerical fraction of the differential tidal force exerted by the Moon, 2GMMoonm RO where ro = 384,000km = 0.00257AU is the Earth-Moon distance and MMoon = 7.2 x 1022kg is the mass of the Moon. Repeat to find the differential tidal force AF exerted by Jupiter at opposition, also expressed as a fraction of AEMaen. (Assume that the Moon, Earth, Mars, and Jupiter are on circular coplanar orbits.)alt Z X C V b n m 1514 alt 1. Write the equation for the Force of gravity (weight) on the surface of the earth. 2. What is the value of little g in the equation above? 3. Calculate the force of gravity of a 20 kg mass on Mars. Radius of Mars ctrl 3.40 x 10 m Mass of Mars 6.43 x 1023 kg 4. Calculate the force between 2 asteroids. They are 1000 meters apart, one has a mass of 1,000,000 kg and the other has 10,000,000 kg. 5. The gravitational force between 2 masses is 100 newtons. What is the force if I double the mass of on of the objects? 6. The gravitational force between 2 masses is 100 newtons. What is the force if I double the distance between the masses? 7. T/F The mass of an object can change if I measure it on a different planet. 8. T/F My weight would be slightly less if I climbed to the top of the highest mountain. 9. Draw a free body diagram (force diagram) of an object suspended from a string. 10. Calculate the tension force on string A in the diagram below. Assume a…23. Planet Alpha has the same radius and 4 times the mass of the Earth. What is the best estimate for the magnitude of the gravitational field at the surface of planet Alpha? a. 10 m/s? b. 2.5 m/s? c. 20 m/s? d. 40 m/s? 24. The planet Theta has 3 times the gravitational field strength and 4 tirmes the mass of the Earth. How does the radius of Theta compare with the radius of Earth? a. rTheta = rEarth 2 b. rTheta = E"Earth 4 C. TTheta =-TEarth 3 d. TTheta VZrEarth
- a. What is a repeat ground-track orbit? b. Explain why repeat ground-track and Sun-synchronous orbits are typically used for Earth observation missions. = c. The constraint for a Sun-synchronous and repeat ground-track orbit is given by T 86, 400, where T is the orbital period in seconds, m the number of days and k the number of revolutions. Explain why this is, in fact, a constraint on the semi-major axis of the orbit. m32. At a given point above the surface of the Earth, the gravitational acceleration is equal to 5.4 m/s². Take the Earth mass M = 5.97x1024 kg and radius R = 6378 km. The altitude of this point, above the surface of the Earth, in km, is closest to: 33. What does the scale read? (Hint: t = rxF) a. 6900 b. 2800 C. 4200 d. 5700 e. 2200 a. b. C. d. a. b. C. d. e. C. 34. A solid cylinder of 5 cm radius is positioned on a frictionless plane inclined at 30 degrees above horizontal. A force F is exerted by a string wrapped around the spool. When F has a certain critical value the center of mass of spool does not move. When this is the case, what is the angular acceleration of the spool? (Hint: t = la) 0001 1910 a. b. e. 500 N 1000 N 2000 N 4000 N 392 rad/s² 340 rad/s² 260 rad/s² 196 rad/s² 98 rad/s² Scale 30" Massless rod 1000 N 4.05 138 35. Two buckets spin around in a horizontal circle on frictionless bearings. Suddenly, it starts to rain. As result, The buckets speed up because the…The orbit of a planet around the sun is : O A. hyperbolic. O B. parabolic. OC. elliptic. OD. circular.
