Exam 5: Energy: Part A

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A roller coaster,loaded with passengers,has a mass of 3000 kg;the radius of curvature of the track at the bottom point of the dip is 24 m.If the vehicle has a speed of 18 m/s at this point,what force is exerted on the vehicle by the track? (g = 9.8 m/s2)

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The cutting cord on a gas-powered weed cutter is 0.20 m in length.If the motor rotates at the rate of 20 rev/s,what is the tangential speed of the end of the cord?

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If a planet has 9 times the radius of the Earth,but has the same density as the Earth,what is the gravitational acceleration at the surface of the planet? (g = 9.8 m/s2)

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The distance from the center of a Ferris wheel to a passenger seat is 6.0 m.What centripetal acceleration does a passenger experience when the wheel rotates once every 4π seconds?

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If the mass of Venus is 0.786 times that of Earth,and its radius is 0.950 that of Earth,estimate the gravitational acceleration g at the surface of Venus.(gearth = 9.80 m/s2)

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An asteroid in orbit about the Sun has a linear speed of 4 km/s when at a distance of closest approach d from the sun.What is its linear speed when it is at its greatest distance from the sun,a distance 4d?

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At what location does an artificial Earth satellite in elliptical orbit have its lowest speed?

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An observation satellite for mapping purposes is placed in a low Earth orbit.In order to see the whole surface of the Earth,which would be the preferred orbit?

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What centripetal force does an 60-kg passenger experience when seated 12 m from the center of a Ferris wheel that rotates once every 4π seconds?

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An object when orbiting the Earth at a distance of three Earth radii from the center of the Earth has a weight of 2.0 N.What is the object's mass? (g at the surface of the Earth is 9.8 m/s2)

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A cylindrical space colony 13 km in diameter and 30 km long has been proposed as living quarters for future space explorers.Such a habitat would have cities,land,and lakes on the inside surface and air and clouds in the center.All this would be held in place by the rotation of the cylinder about the long axis.How fast would such a cylinder have to rotate at its perimeter to produce a 1-g gravitational field at the walls of the cylinder?

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The acceleration due to gravity at the surface of Planet X is 10 m/s2.What is the acceleration due to gravity at an altitude of 4000 km above the surface of this planet?

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