A certain planet has a radius of 7680 km and turns around once on its axis in 2 days. What is the radial acceleration of an object at the planet's equator? Express your answer in m/s2
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A certain planet has a radius of 7680 km and turns around once on its axis in 2 days. What is the radial acceleration of an object at the planet's equator? Express your answer in m/s2
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- Two planets X and Y travel counterclockwise in circular orbits about a star as shown in Figure P11.14. The radii of their orbits are in the ratio 3:1. At one moment, they are aligned as shown in Figure P11.14a, making a straight line with the star. During the next five years, the angular displacement of planet X is 90.0 as shown in Figure P11.14b. What is the angular displacement of planet Y at this moment?The radius of the earth's orbit around the sun (assumed to be circular) is 1.50×108km, and the earth travels around this orbit in 365 days. What is the magnitude of the orbital velocity of the earth in m/s? What is the radial acceleration of the earth toward the sun? What is the magnitude of the orbital velocity of the planet Mercury (orbit radius =5.79×107km, orbital period = 88.0 days)?An undiscovered planet, many lightyears from Earth, has one moon in a periodic orbit. This moon takes 2010 × 103 seconds (about 23 days) on average to complete one nearly circular revolution around the unnamed planet. If the distance from the center of the moon to the surface of the planet is 235.0 × 106 m and the planet has a radius of 3.30 × 106 m, calculate the moon's radial acceleration ?c .
- The Earth is 93 million miles (mi) from the Sun and its period of revolution is 1 year = 31,500,000 s. What is the radial acceleration of the Earth in its orbit about the Sun? Choose 0.0093 mi/s^2 18.6 mi/s^2 0.0000037 mi/s^2 0.0000136 mi/s^2You have walked around the rim of a large circle whose radius is 2.1 miles. The GPS tells you that you have walked a path length of 8 miles. What angular distance (in radians) have you walked?According to Kepler's third law of planetary motion, the mean distance D, in millions of miles, from a planet in our solar system to the sun is related to the time P, in years, that it takes for the planet to complete a revolution around the sun, and the relationship is D = 93P 2/3. It takes the planet Pluto 248 years to complete a revolution around the sun. What is the mean distance from Pluto to the sun? What is the mean distance from Earth to the sun? Give your answers to the nearest million miles. from pluto to sun _____ million miles from earth to sun _____ million miles
- Solve the following problems. Because Earth is rotating around its axis, objects on its surface have radial acceleration. Take note that the radius of the Earth is 6,380 km and Earth rotates around its axis in 24 hours. a. What is the radial acceleration of an object at Earth's equator in m/s? b. What is the radial acceleration for an object at 20-degree latitude? c. Express your answers in parts (a) and (b) as a fraction of acceleration due to gravity, g. Using these values, explain why objects on Earth's surface are not thrown off into space.Explain the purpose of the radial/centripetal acceleration of a rotating object.Two celestial bodies whose masses are m1 and m2 are revolving around their common center of mass and the distance between them is L. Assuming that they are both point masses, Find the angular speed, tangential speeds of the masses m1 and m2, and period of the motion. Universal Gravitational Constant, G=6,6742867E-11 m3 kg / s2(Note that the exponent is negative)Radius of Earth, RE: 6,3781366E+06 mMass of Earth, ME: 5,9721426E+24 kg m1=10^12kg m2=10^11kg L=10^8m 7,27210E+00 m1 3,85280E+00 m2 6,16500E+00 L
- Mars has an orbital radius of 1.523 AU and an orbital period of 687.0 days. What is its average speed v in SI units? (1 AU is the astronomical unit, the mean distance between the Sun and the Earth, which is 1.496×1011 m) a. 0.00221 AU/day b. 3838 m/s c. 0 d. 1.28×10−9 m/sThe mass of Mars is 6.42 × 10^23 kg. Its moon Phobos is 9.378 x 10^6 meters away from Mars, with a mass of 1.06 × 10^16 kg and a period of 7.66 hours. It's moon Deimos has a mass of 1.4762×10^15 kg and a period of 30.3 hours. a) Use Kepler's 3rd law to determine the orbital distance between Mars and Deimos? b) What is the tangential velocity of Phobos, using the formula v(tangential) = sqrt (G x m(central)/ r)? c) What is the gravitational force of attraction between Mars and Phobos.A 2kg toy is moving in a circle of radius 2.5 m with a speed of 3m/s.Calculate the centripetal acceleration of the toy? choose one correct answer with the correct units. A. 3.6 m/s^2 B. 1.2 m/s^2 C. 3.6 m/s D. 0.833 m/s^2
