Exam 5: Dynamics of Uniform Circular Motion

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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. -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 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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A solar-powered car is traveling at constant speed around a circular track.What happens to the centripetal acceleration of the car if the speed is doubled?

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Determine the magnitude of the gravitational force exerted on the satellite by the planet.

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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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What is the acceleration of the satellite?

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Consider a satellite in a circular orbit around the Earth.If it were at an altitude equal to twice the radius of the Earth, 2RE, how would its speed v relate to the Earth's radius RE, and the magnitude g of the acceleration due to gravity on the Earth's surface?

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Complete the following statement: The maximum speed at which a car can safely negotiate a frictionless banked curve depends on all of the following except

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Complete the following statement: The maximum speed at which a car can safely negotiate an unbanked curve depends on all of the following factors except

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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 centripetal acceleration of the gondola when the Ferris wheel is running at full speed?

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The radius of Saturn's orbit around the Sun is about 10 times that of Earth.Complete the following statement: The period of Saturn is about

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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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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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Which force is responsible for holding a car in a frictionless banked curve?

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A 1800-kg Jeep travels along a straight 500-m portion of highway (from A to B) at a constant speed of 10 m/s.At B, the Jeep encounters an unbanked curve of radius 50 m.The Jeep follows the road from B to C traveling at a constant speed of 10 m/s while the direction of the Jeep changes from east to south. A 1800-kg Jeep travels along a straight 500-m portion of highway (from A to B) at a constant speed of 10 m/s.At B, the Jeep encounters an unbanked curve of radius 50 m.The Jeep follows the road from B to C traveling at a constant speed of 10 m/s while the direction of the Jeep changes from east to south.   -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? -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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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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A 1800-kg Jeep travels along a straight 500-m portion of highway (from A to B) at a constant speed of 10 m/s.At B, the Jeep encounters an unbanked curve of radius 50 m.The Jeep follows the road from B to C traveling at a constant speed of 10 m/s while the direction of the Jeep changes from east to south. A 1800-kg Jeep travels along a straight 500-m portion of highway (from A to B) at a constant speed of 10 m/s.At B, the Jeep encounters an unbanked curve of radius 50 m.The Jeep follows the road from B to C traveling at a constant speed of 10 m/s while the direction of the Jeep changes from east to south.   -What is the magnitude of the acceleration of the Jeep as it travels from A to B? -What is the magnitude of the acceleration of the Jeep as it travels from A to B?

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A ball is whirled on the end of a string in a horizontal circle of radius R at constant speed v.Complete the following statement: The centripetal acceleration of the ball can be increased by a factor of 4 by

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An artificial satellite in a circular orbit around the Sun has a period of 8 years.Determine the ratio of the satellite's orbital radius to that of the earth's orbital radius.Assume that the earth's orbit around the Sun is circular.

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