Exam 5: Circular Motion

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A satellite orbits the Earth once every 6.0 hours in a circle.What are the magnitude and direction of the acceleration of the satellite? (G = 6.67 × 10-11 N ∙ m2/kg2,Mearth = 5.97 × 1024 kg)

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An object moves in a circular path at a constant speed.Compare the direction of the object's velocity and acceleration vectors.

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A satellite of mass 500 kg orbits the earth with a period of 6,000 s.The earth has a mass of 5.97 × 1024 kg,a radius of 6.38 × 106 m,and G = 6.67 × 10-11 N ∙ m2/kg2. (a)Calculate the magnitude of the earth's gravitational force on the satellite. (b)Determine the altitude of the satellite above the earth's surface.

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Find the orbital speed of an ice cube in the rings of Saturn.The mass of Saturn is 5.68 x 1026 kg,and use an orbital radius of 1.00 x 105 km.(G = 6.67 × 10-11 N ∙ m2/kg2)

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A point on a wheel of radius 40 cm that is rotating at a constant 5.0 revolutions per second is located 0.20 m from the axis of rotation.What is the acceleration of that point due to the spin of the wheel?

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A car moving at a steady 10 m/s on a level highway encounters a bump that has a circular cross-section with a radius of 30 m.The car maintains its speed over the bump.What is the force exerted by the seat of the car on a 60.0-kg passenger when the car is at the top of the bump?

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Earth exerts a gravitational force of 432 N on an object on its surface.Earth has radius R.If the object is raised to a height of 3R above Earth's surface,what is the gravitational force that Earth will exert on it?

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A large telescope of mass 8410 kg is in a circular orbit around the earth,making one revolution every 927 minutes.What is the magnitude of the gravitational force exerted on the satellite by the earth? (G = 6.67 × 10-11 N ∙ m2/kg2,Mearth = 6.0 × 1024 kg)

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The captain of a spaceship orbiting planet X discovers that to remain in orbit at 410 km410 \mathrm {~km} from the planet's center,she needs to maintain a speed of 68 m/s68 \mathrm {~m} / \mathrm { s } What is the mass of planet X? (G = 6.67 × 10-11 N ∙ m2/kg2)

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Two cars go around a banked curve at the proper speed for the banking angle.One car has tires with excellent traction,while the other car has bald slippery tires.Which of these cars is more likely to slide on the pavement as it goes around the curve?

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The Moon is accelerated toward the earth,so it is gradually getting closer to the earth.

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A car moving at a steady 10 m/s on a level highway encounters a depression that has a circular cross-section with a radius of 30 m.The car maintains its speed as it drives through the depression.What is the force exerted by the seat of the car on a 60.0-kg passenger when the car is at the bottom of the depression?

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As you know,the earth has an orbital period of 1.0 year at an orbital radius of 1.0 AU (astronomical unit,the average distance between the earth and the sun).If a new "minor planet" were to be found in a circular orbit with radius 13 AU,what would be its orbital period?

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An astronaut goes out for a "space-walk" at a distance above the earth equal to the radius of the earth.What is her free-fall acceleration at that point?

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A Ferris wheel has radius 5.0 m and makes one revolution every 8.0 s with uniform rotation.A person who normally weighs 670 N is sitting on one of the benches attached at the rim of the wheel.What is the apparent weight (the normal force exerted on her by the bench)of the person as she passes through the highest point of her motion?

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If you swing a bucket of water fast enough in a vertical circle,at the highest point the water does not spill out.This happens because an outward force balances the pull of Earth on the water.

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Two identical tiny balls of highly compressed matter are 1.50 m apart.When released in an orbiting space station,they accelerate toward each other at 2.00 cm/s2.What is the mass of each of them? (G = 6.67 × 10-11 N ∙ m2/kg2)

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A hypothetical planet has a mass of one-half that of the earth and a radius of twice that of the earth.What is the free-fall acceleration on the planet in terms of g,the free-fall acceleration at the surface of the earth?

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A satellite that is in a circular orbit 230 km above the surface of the planet Zeeman-474 has an orbital period of 89 min.The radius of Zeeman-474 is 6.38 × 106 m.What is the mass of this planet? (G = 6.67 × 10-11 N ∙ m2/kg2)

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When an object moves in uniform circular motion,the direction of its acceleration is

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