Exam 7: Circular Motion and Gravitation

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The maximum speed around a level curve is 30. mi/h. What is the maximum speed around a curve with twice the radius? (Assume all other factors remain unchanged.)

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What is the angular speed of a point on the earth's surface at 60.0° north latitude? What is the linear speed of such a point?

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7.27 × 10-5 rad/s ; 0.232 km/s

A satellite is in a low circular orbit about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth?

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87 min

Jenny drives at a constant speed of 15. m/s around a circular drive of diameter 60. meters. (a) Her acceleration is ________ m/s2. (b) Is her acceleration tangential, centripetal, or centrifugal? (c) Is her velocity tangential, centripetal, or centrifugal?

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If the newly discovered planet of Krypton has 100. times the mass of the Earth and 100. times the diameter of the Earth, what would be the period of a "low" orbiting satellite around Krypton?

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David lands on planet X and observes objects free-falling with acceleration 4.9 m/s2 s2 . If the planet is 3 times larger than the Earth, what is the planet MASS expressed in Earth masses?

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By how many Newtons does the weight of a 100. kg person change when he goes from sea level to an altitude of 5.00 km?

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The diameter of the sun is 13.9 × 108 m, and the distance from the Earth to the sun is 1.5 × 1011 m. How long does it take for the sun to disappear after it touches the horizon?

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The maximum acceleration a pilot can stand is about 7.0 g. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate at a speed of 250 m/s?

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A car, driven around a circle with constant speed, must have

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Consider an Earth satellite in an elliptical orbit. Its centripetal acceleration is

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A satellite orbits the Earth once every 6.0 hours in a circle. What is the radius of the orbit if it is a 2000. Kg satellite?

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A pulsar (a rotating neutron star) emits pulses at a frequency of 0.40 kHz. The period of its rotation is

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A coin of mass m rests on a turntable a distance r from the axis of rotation. The turntable rotates with frequency f. Derive an expression for the minimum coefficient of friction between the turntable and the coin if the coin is not to slip.

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A 63. kg astronaut walks upon the surface of the planet Krypton which has 100. times the mass of the Earth and 100. times the diameter of the Earth. What does she weigh on Krypton?

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An Earth satellite is in circular orbit 230 km above the surface of the Earth. It is observed to have a period of 89 min. From this information, estimate the mass of the Earth.

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A horizontal curve on a bobsled run is banked at a 45° angle. When a bobsled rounds this curve at the curve's safe speed (no friction needed to stay on the run), what is its centripetal acceleration?

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A turntable was revolving at 33 1/3 rpm. It was shut off and uniformly slowed down and stopped in 5.5 seconds. (a) What was the angular acceleration? (b) Through how many revolutions did it turn?

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The following statements refer to man-made, artificial satellites in orbit around Earth. Which is an accurate statement?

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What is the angular speed in rad/s of an electric motor that rotates at 1.80 × 103 rpm?

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