1. A rock tied to a string is traveling at a constant speed of 4 m / s in a circle of radius 1.5 m. Calculate the magnitude of the centripetal acceleration of the rock. What is the direction of the acceleration? Answer
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2. A 1.3 m long fishing line rated as "10 lb test" that can stand a force of 10 lb (44.48 N) is attached to a rock of mass 0.5 kg. Calculate the maximum speed at which the rock can be rotated without breaking the line. Answer
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3. A rock tied to the end of a string moves in a circle at a constant speed of 2.5 m / s and experiences an acceleration of 4.0 m / s2. What is the radius of the circle of its motion? Answer
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4. A rock tied to the end of a string moves in a circle of radius 1.2 m with a constant speed of 3.0 m / s. Calculate the centripetal acceleration of the rock. Answer
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5. Calculate the gravitational attraction between a person of mass 60 kg and a building of mass 10,000 kg when the person is 5 m from the building. Answer
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6. A satellite of mass 500 kg is placed in an orbit of radius 5 times the radius of the Earth, i.e. the distance between the satellite and the center of the Earth is equal to 5 Earth radii. Calculate the centripetal force experienced by the satellite. The radius of the Earth is 6.37 x 106 m. Answer
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7. The distance from the Earth to the Sun is 1.5 x 1011 m (93 million miles), and the time for one complete orbit of the Earth about the Sun is one year. How long would it take for a planet located at twice this distance from the Sun to complete one orbit? Answer
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8. A car of mass 1000 kg travels around a level curve of radius 40 m. If the maximum frictional force that can be exerted upon the car by the road (determined by the coefficient of friction between the tires and the road) is 7000 N how fast can the car travel without "spinning out?" Answer
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9. The mass of Mars is 6.37 x 1023 kg and its radius is 3430 km. Calculate the value of g for Mars. Answer
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10. The Earth has a mass of 5.98 x 1024 kg, the Moon has a mass of 7.34 x 1022 kg, and the distance from the center of the Earth to the center of the Moon is 3.8 x 105 km. Calculate the gravitational attractive force between the Earth and the Moon. Answer
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