Exam 5: Dynamics of Uniform Circular Motion

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Callisto and Io are two of Jupiter's satellites. The distance from Callisto to the center of Jupiter is approximately 4.5 times farther than the distance from Io to the center of Jupiter. How does Callisto's orbital period, TC, compare to that of Io, TI?

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The mass and radius of the moon are 7.4 × 1022 kg and 1.7 × 106 m, respectively. What is the weight of a 1.0-kg object on the surface of the moon?

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One of the world's largest Ferris wheels, the Cosmo Clock 21 with a radius of 50.0 m is located in Yokohama City, Japan. Each of the sixty gondolas on the wheel takes 1.00 minute to complete one revolution when it is running at full speed. Note: Ignore gravitational effects. -What is the uniform speed of a gondola when the Ferris wheel is running at full speed?

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A 0.25-kg ball attached to a string is rotating in a horizontal circle of radius 0.5 m. If the ball revolves twice every second, what is the tension in the string?

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A spaceship is in orbit around the earth at an altitude of 12 000 miles. Which one of the following statements best explains why the astronauts experience "weightlessness?"

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What is the acceleration due to gravity at an altitude of 1.00 × 106 m above the earth's surface? Note: the radius of the earth is 6.38 × 106 m.

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A 1500-kg vehicle travels at a constant speed of 22 m/s around a circular track that has a radius of 85 m. -What is the magnitude of the acceleration of the vehicle?

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A 0.75-kg ball is attached to a 1.0-m rope and whirled in a vertical circle. The rope will break when the tension exceeds 450 N. What is the maximum speed the ball can have at the bottom of the circle without breaking the rope?

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An object weighs 10 N on the earth's surface. What is the weight of the object on a planet that has one tenth the earth's mass and one half the earth's radius?

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A 2400-kg satellite is in a circular orbit around a planet. The satellite travels with a constant speed of 6670 m/s. A 2400-kg satellite is in a circular orbit around a planet. The satellite travels with a constant speed of 6670 m/s.   The radius of the circular orbit is 8.92 x 10<sup>6</sup>m. -At the instant shown in the figure, which arrow indicates the direction of the net force on the satellite?  The radius of the circular orbit is 8.92 x 106m. -At the instant shown in the figure, which arrow indicates the direction of the net force on the satellite? A 2400-kg satellite is in a circular orbit around a planet. The satellite travels with a constant speed of 6670 m/s.   The radius of the circular orbit is 8.92 x 10<sup>6</sup>m. -At the instant shown in the figure, which arrow indicates the direction of the net force on the satellite?

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A satellite is placed in a circular orbit to observe the surface of Mars from an altitude of 144 km. The equatorial radius of Mars is 3397 km. If the speed of the satellite is 3480 m/s, what is the magnitude of the centripetal acceleration of the satellite?

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A satellite is placed in equatorial orbit above Mars, which has a radius of 3397 km and a mass MM = 6.40 × 1023 kg. The mission of the satellite is to observe the Martian climate from an altitude of 488 km. What is the orbital period of the satellite?

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A rocket orbits a planet in a circular orbit at a constant speed as shown in the drawing. A rocket orbits a planet in a circular orbit at a constant speed as shown in the drawing.   Note these arrows:   -Suppose that the radius of the circular path is r when the speed of the rocket is v and the acceleration of the rocket has magnitude a. If the radius and speed are increased to 2r and 2v respectively, what is the magnitude of the rocket's subsequent acceleration? Note these arrows: A rocket orbits a planet in a circular orbit at a constant speed as shown in the drawing.   Note these arrows:   -Suppose that the radius of the circular path is r when the speed of the rocket is v and the acceleration of the rocket has magnitude a. If the radius and speed are increased to 2r and 2v respectively, what is the magnitude of the rocket's subsequent acceleration? -Suppose that the radius of the circular path is r when the speed of the rocket is v and the acceleration of the rocket has magnitude a. If the radius and speed are increased to 2r and 2v respectively, what is the magnitude of the rocket's subsequent acceleration?

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A small car of mass M travels along a straight, horizontal track. As suggested in the figure, the track then bends into a vertical circle of radius R. A small car of mass M travels along a straight, horizontal track. As suggested in the figure, the track then bends into a vertical circle of radius R.   -What is the minimum acceleration that the car must have at the top of the track if it is to remain in contact with the track? -What is the minimum acceleration that the car must have at the top of the track if it is to remain in contact with the track?

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Jupiter has a mass that is roughly 320 times that of the Earth and a radius equal to 11 times that of the Earth. What is the acceleration due to gravity on the surface of Jupiter?

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A 2400-kg satellite is in a circular orbit around a planet. The satellite travels with a constant speed of 6670 m/s. A 2400-kg satellite is in a circular orbit around a planet. The satellite travels with a constant speed of 6670 m/s.   The radius of the circular orbit is 8.92 x 10<sup>6</sup>m. -Determine the magnitude of the gravitational force exerted on the satellite by the planet. The radius of the circular orbit is 8.92 x 106m. -Determine the magnitude of the gravitational force exerted on the satellite by the planet.

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A car traveling at 20 m/s follows a curve in the road so that its centripetal acceleration is 5 m/s2. What is the radius of the curve?

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The record for the highest speed achieved in a laboratory for a uniformly rotating object was 2.01 × 103 m/s for a 0.15-m long carbon rod. What was the period of rotation of the rod?

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In an amusement park ride, a child stands against the wall of a cylindrical room that is then made to rotate. The floor drops downward and the child remains pinned against the wall. If the radius of the room is 2.15 m and the relevant coefficient of friction between the child and the wall is 0.600, with what minimum speed is the child moving if he is to remain pinned against the wall?

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The Earth exerts the necessary centripetal force on an orbiting satellite to keep it moving in a circle at constant speed. Which one of the following statements best explains why the speed of the satellite does not change although there is a net force exerted on it?

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