Exam 7: Rotational Motion and Gravitation

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A 0.30-m-radius automobile tire accelerates from rest at a constant 2.0 rad/s2.What is the centripetal acceleration of a point on the outer edge of the tire after 5.0 s?

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Which of the following best describes the property of the period of orbital revolution for an Earth satellite?

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A Ferris wheel,rotating initially at an angular speed of 0.500 rad/s,accelerates over a 10.4-s interval at a rate of 0.040 0 rad/s2.What angular displacement does the Ferris wheel undergo in this 10.4-s interval?

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The distance from the center of a Ferris wheel to a passenger seat is 12 m.What centripetal acceleration does a passenger experience when the wheel's angular speed is 0.50 rad/s?

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The Earth's orbit is closest to the Sun in January and farthest from the Sun in July.When is the Earth moving the fastest in orbit?

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An airplane in a wide sweeping "outside" loop can create zero gees inside the aircraft cabin.What must be the radius of curvature of the flight path for an aircraft moving at 150 m/s to create a condition of "weightlessness" inside the aircraft?

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A planet has mass M = 8.00 × 1023 kg.The centripetal acceleration of an orbiting space station is equal to the gravitational acceleration on Earth's surface.What is the speed of the space station? (G = 6.67 × 10-11 m3·kg-1·s-2)

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Two satellites are monitored as they orbit the Earth;satellite X is eight times as far from the Earth's center as is satellite Y.From Kepler's third law one may conclude that the period or revolution of X is what factor times that of Y?

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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 3 000 km above the surface of this planet?

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Which of the first units given below can be units for angular acceleration while the second units can be units for angular velocity?

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A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed?

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At what speed will a car round a 52.0-m-radius curve,banked at a 40.0° angle,if no friction is required between the road and tires to prevent the car from slipping? (g = 9.80 m/s2)

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An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 20 N.The radius of the planet is 4.0 × 106 m.What free-fall acceleration will the 0.50-kg object experience when transported to a distance of 8.00 × 106 m from the surface of this planet?

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2 600 rev/min is equivalent to which of the following?

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A 0.150-m-radius grinding wheel,starting at rest,develops an angular speed of 12.0 rad/s in a time interval of 4.00 s.What is the centripetal acceleration of a point 0.100 m from the center when the wheel is moving at an angular speed of 12.0 rad/s?

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A planet has mass M = 8.00 × 1023 kg.At what distance will the centripetal acceleration of an orbiting space station be equal to the gravitational acceleration on Earth's surface? (G = 6.67 × 10-11 m3·kg-1·s-1)

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Geosynchronous satellites orbit the Earth at a distance of 42 000 km from the Earth's center.Their angular speed at this height is the same as the rotation rate of the Earth,so they appear stationary at certain locations in the sky.What is the force acting on a 1 500-kg satellite at this height?

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In order to train for a high-g environment,an astronaut is placed in a centrifuge of radius several meters and rotated in a horizontal circle at constant speed.In this situation,in which direction is the net force on the astronaut?

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