1. Compute for the value of the acceleration due to gravity g of an object at an altitude equal to twice the radius of the Earth? (radius of Earth = 6.4 x 106 m) %3D
Q: 2. Use the following diagram for reference, where the quantity "mg" is the gravitational force F…
A: 2)
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A: Given: The free-body diagram is given below.
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Q: 1. Compute for the value of the acceleration due to gravity g of an object at an altitude equal to…
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Q: - The density of newly discovered planet is twice that of Earth. The acceleration due to gravity at…
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Q: What is the acceleration due to gravity near its surface? Express your answer to two significant…
A: gplanet=GMearthR2=GMearth1.8R2earth
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A: Given Mass of man m= 70 kg Diameter of earth d = 12756 km Height of man from surface of earth = Re…
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A: solution as
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Q: 1. Compute for the value of the acceleration due to gravity of an object at an altitude equal to…
A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…
Q: 6.) A new Earth size planet has been discovered in a distant star system. The planet has six times…
A: The radius and the mass of the new planet in term of the radius and mass of the earth are:
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A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…
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A: Given: The mass of Neptune is 1.03×1026 kg. The diameter of the top of cloud layers is 4.86×107 m.
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Q: 6. What is the period of your orbit, in SECONDS? T= 1 hr 37 m = %3D
A: We have to solve 6 only in the given attached figure below.
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Q: Problem#2 Given: The earth’s gravitational acceleration on its surface is 9.806 m/s2 Required:…
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Q: <Homework 11 Exercise 13.19 - Enhanced - with Feedback A planet orbiting a distant star has radius…
A: The acceleration due to gravity at the surface of the planet can be determined as, Here, G, M and R…
Q: 4. Calculate the centripetal acceleration for an object on the surface of radius 400 km and, and the…
A: Given: r = 4000 km = 4000* 1000 r = 4*106 m T = 120,000 sec
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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.When Sedna was discovered in 2003, it was the most distant object known to orbit the Sun. Currently, it is moving toward the inner solar system. Its period is 10,500 years. Its perihelion distance is 75 AU. a. What is its semimajor axis in astronomical units? b. What is its aphelion distance?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.)
- Neptune orbits the Sun with an orbital radius of 4.495 x 10^12 m. If the earth to sun distance 1A.U. = 1.5 x 10^11 m, a) Determine how many A.U.'s is Neptune's orbital radius (Round to the nearest tenth). b) Given the Sun's mass is 1.99 x10^30 kg, use Newton's modified version of Kepler's formula T^2 = (4pi^2/Gm(star)) x d^3 to find the period in seconds using scientific notation. (Round to the nearest thousandth). C) Convert the period in part b) to years (Round to the nearest tenth)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…32. 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…
- Direction: Complete the table below. Calculate the problem using the Laws of Planetary Motion based on the given basic planetary data below. F Earth Mars Saturn Uranus Neptune Jupiter 1. 3. Mean Distance(r) Period of 1.496 x 108 44.97x108 2.28 x 108 14.27x108 2. 4. Revolution (T) 365.2 days 1.88 yrs. 11.86 yrs. 84 yrs. Using the Earth as reference, determine the mean distance(r) or the Period of revolution (T) of each planet. Here is the formula in the Law of Period. (T₁)² (r₁)² (T₂)² (r₂)² = 1. Find the Mean distance of Jupiter. 2. Find the Period of Saturn 3. Find the mean distance of Uranus. 4. Find the Period of Neptune.1. Mars takes 1.88 years to complete one orbit around the sun. What is its average distance from the sun?1. Compute for the value of the acceleration due to gravity of an object at an altitude equal to twice the radius of the Earth? (radius of Earth = 6.4 x 10^6 m) 2. 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? 3. 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)
- Q1. A planet has two moons of equal mass. Moon 1 is in circular orbit of radius r. Moon 2 is in a circular orbit of radius 2r. What is the magnitude of the gravitational force exerted by the planet on Moon 2? a. Four times as large as that on Moon 1 b. Twice as large as that on Moon 1 c. Equal to that on Moon 1 d. Half as large as that on Moon 1 e. One fourth as large as that on Moon 1 Q2. Superman stands on a top of very tall mountain and throws a baseball horizontally with a speed such that the baseball goes into a circular orbit around the earth While the baseball is in the orbit, what is the magnitude of the acceleration of the ball? a. It depends on how fast the baseball is thrown b. It is zero because the ball does not fall to the ground c. It is slightly less than 9.80m/s^2 d. It is equal to 9.80m/s^2 Q3. A comet moves in an elliptical orbit around the sun. Which point in its orbit (perihelion or aphelion) represent the highest value of a. The speed of the comet b. The…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. m1.What is the weight of a 10.0 kg object situated at the top of mount everest, 8848 meters above earths surface? Given: radius of earth 6380 km. mass of earth = 5.98x10^24 kg.