A synchronous satellite, which always remains above the same point on a planet's equator, is put in circular orbit around Mars so that scientists can study a surface feature. Mars rotates once every 24.6 h. Use the data of this table to find the altitude of the satellite. 12.65 10e4
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A: Given, radius = 3390 km v = 990 km/hr Circumferential = 2πr = 2×3.14×3390 C = 21289.2 km Time…
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A: Given, mmars = 6.4191 x 1023 kg rmars = 3.397 x 106 m G = 6.67428 x 10-11 N-m2/kg v = 2330 m/s 1)…
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A: Height above the surface of earth (h) = 554000 m Radius of earth (r) = 6.378×106 m Mass of earth (m)…
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A: Solution: According to Kepler's second law of planetary motion, the line joining the center of the…
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A: Using the given equation T= √(4π2r³/GM) T= 2πr^(3/2)/√(GM) G= 6.67× 10-¹¹ Nm²/kg² Mass of the…
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A: According to the Kepler's third law, T2T12=R2R13R2R1=T2T12/3R2=T2T12/3R1
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- . Solve the following problems. Use GFSA (Given, Find, Solution, and Answer) on the given space below. Encircle your final answer, write it in scientific notation with 2 decimal places (if possible). You’re involved in the design of a mission carrying humans to the surface of the planet Mars, which has a radius 3.37x106m and a mass of 6.42x1023 kg. The earth weight of the Mar’s lander is 39,200 N. Calculate its weight and the acceleration due to Mar’s gravity at 6.0 x 106 m above the surface of Mars. r= 3.37x106 m h = 6.0x106 m above the surface of Mars.For the following questions, start your analyses by considering at least Newton's Law of Gravitation, centripetal acceleration, Kepler's law or Energy Conservation. Take the Gravitational constant to be a. From Earth we can measure the radius of Mars using our telescopes. An estimate for it is 3.39 x 106 m. By sending an exploratory robot to Mars, we determined the acceleration due to gravity on its surface as 3.73 m/s?. Estimate the mass of Mars. b. The Earth revolves around the Sun once a year at a distance of 1.50 x 1011 m. Estimate the mass of the Sun. c. A rocket is launched straight up from Earth's surface at 2100 m/s. By ignoring air resistance, determine the maximum height it reaches?A woman has a mass of 55.1 kg on Earth.a. What is the woman’s mass on the moon? (2 Significant figures only, type in the first box)b. What would be the woman’s weight on the moon if the gravity is 1.67 ms21.67 ms2 . (3 significant figures only, type in the second box) Do not include the units when writing your final answers in the box.
- 1 Base your answer to the question on the information below and knowledge of physics. your On a flat, level road, a 1500-kilogram car travels around a curve having a constant radius of 45 meters. The centripetal acceleration of the car has a constant magnitude of 3.2 meters per second squared. Calculate the car's speed as it travels around the curve. [Show all work, including the equation and substitution with units.]A) When one object is orbiting a much larger object, the period of the orbit (T) is related to the semi‐major axis (r) by the general form of Kepler’s 3rd Law. Write this general form in the space below: B) What units must the period be in if we want to calculate the semi-major radius in meters? Note that G = 6.67 x 10-11 N m2/kg2. Complete problems using Kepler’s 3rd law as you wrote it down above: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…
- Answer the two questions below and write the solution. a. An astronaut is tasked to compute the gravitational acceleration of planet Z. After landing, he dropped a test object from a height of 2 meters and the time duration of the drop was 1 second. What is the gravity of planet Z in m/s^2? b. If the astronaut jumped upward with an initial velocity of 8m/s, how high is the jump? in metersHi! Sorry for the inconvenience but can you please answer these two questions? Thanks! 1. Scientists once hypothesized the existence of a planet called Vulcan to explain Mercury’s precession. Vulcan is supposed to be between Mercury and the Sun with a solar distance equal to 2/3 of that of Mercury. What would be its supposed period? 2. What is the period T of a planet which radius is as twice as of Earth when it completes one revolution in 875 days? (Earth radius = 6.38 x 10^5)Yes, the answer is less Math Practice On a separate sheet of paper, solve the following problems. 1. Jupiter has an orbital period of 11.86 years, and Jupiter's average distance to the sun is 5.2 A.U. If Mercury's average distance to the sun is 0.39 A.U., what is its orbital period in years? ince to what is
- Salma went on a walk in her neighborhood. You might need: Calculator First, she walked on a straight road for 2 km. The direction of the road is a 20° rotation from east. Then, she turned into a different road whose direction is a 100° rotation from east. She walked on that road for 3 km. How far is Salma from her starting point at the end of the walk? Round your answer to the nearest tenth. You can round intermediate values to the nearest hundredth. km Show Calculator Report a problemIn 1993 the Galileo spacecraft sent home an image of asteroid "243 Ida" and a tiny moon "Dactyl" orbiting the asteroid. Assume that the small moon orbits in a circle with a radius of r = 100 km from the center of the asteroid with an orbital period of T = 27 hours. a. Show and explain how we derived Kepler's 3rd law using Newton's 2nd Law, the definition for centripetal acceleration, and the equation for gravitational force. b. Use your result for Kepler's 3rd Law to determine the mass of the asteroid. c. If the asteroid has a radius of about 16 km calculate the approximate value for the acceleration due to gravity, g, on its surface. d. What velocity would you need to achieve in order to lift off and leave this asteroid? e. Use Newton's 2nd Law, the definition for centripetal acceleration, and the equation for gravitational force to determine an expression for circular orbital velocity. f. What is the orbital velocity of the small moon if we assume it is in a circular orbit?What would be the gravitational pull of the moon on an astronaut with a total mass of 125kg with a spacesuit on? Please use the following information. (Diameter of moon = 3,474 km and mass of moon = 7.3476x1022 kg.) a.) 50.76 b.) 50.67 c.) 220.95