Exam 5: Circular Motion

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A jet plane flying 600 m/s experiences an acceleration of 4.0 g when pulling out of the circular section of a dive.What is the radius of curvature of this section of the dive?

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If Earth had twice its present mass but it orbited at the same distance from the sun as it does now,its orbital period would be

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When a car goes around a circular curve on a horizontal road at constant speed,what force causes it to follow the circular path?

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A race car traveling at a constant speed of 50 m/s drives around a circular track that is 500 m in diameter.What is the magnitude of the acceleration of the car?

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A highway curve of radius 100 m,banked at an angle of 45°,may be negotiated without friction at a speed of

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A 2.10-kg hammer is transported to the Moon.The radius of the Moon is 1.74 × 106 m,its mass is 7.35 × 1022 kg,and G = 6.67 × 10-11 N ∙ m2/kg2.What is the gravitational force exerted on the hammer on Earth and on the Moon?

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You are making a circular turn in your car on a horizontal road when you hit a big patch of ice,causing the force of friction between the tires and the road to become zero.While the car is on the ice,it

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Planet Z-34 has a mass equal to one-third that of Earth and a radius equal to one-third that of Earth.With g representing,as usual,the free-fall acceleration at the surface of Earth,the free-fall acceleration at the surface of Z-34 is

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Satellite A has twice the mass of satellite B,and moves at the same orbital distance from Earth as satellite B.Compare the speeds of the two satellites.

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Mass Radius Orbital radius Orbital period Moon A 4.0\times1 unknown 2.0\times1 4.0\times1 Moon B 1.5\times10 2.0\times1 3.0\times1 unknown Mithra is an unknown planet that has two moons,A and B,in circular orbits around it.The table summarizes the hypothetical data about these moons.What is the mass of Mithra? (G = 6.67 × 10-11 N ∙ m2/kg2)

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The maximum acceleration a pilot can stand without blacking out is about 7.0 g.In an endurance test for a jet plane's pilot,what is the maximum speed he can tolerate if he is spun in a horizontal circle of diameter 85 m?

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A 1000-kg car is slowly picking up speed as it goes around a horizontal unbanked curve whose radius is 100 m.The coefficient of static friction between the tires and the road is 0.35.At what speed will the car begin to skid sideways?

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Two planets have the same free-fall acceleration on the surface,but planet B has twice the radius of planet A.If planet A has mass m,what is the mass of planet B?

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Halley's Comet is in a highly elliptical orbit around the sun.Therefore the orbital speed of Halley's Comet,while traveling around the sun,

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A child sits on a merry-go-round,1.5 meters from the center.The merry-go-round is turning at a constant rate,and the child is observed to have a radial acceleration of 2.3 m/s2.How long does it take for the merry-go-round to make one revolution?

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In another solar system,a planet has an airless moon Zygo that is 4.0 × 105 m in diameter.Experiments reveal that a freely falling object at the surface of Zygo accelerates at 0.20 m/s2.What is the mass of Zygo? (G = 6.67 × 10-11 N ∙ m2/kg2)

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In a carnival ride,passengers stand with their backs against the wall of a cylinder.The cylinder is set into rotation and the floor is lowered away from the passengers,but they remain stuck against the wall of the cylinder.For a cylinder with a 2.0-m radius,what is the minimum speed that the passengers can have so they do not fall if the coefficient of static friction between the passengers and the wall is 0.25?

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Pulling out of a dive,the pilot of an airplane guides his plane into a vertical circle with a radius of 600 m.At the bottom of the dive,the speed of the airplane is 150 m/s.What is the apparent weight (the force that the pilot exerts on the seat)of the 70-kg pilot at that point?

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When a car goes around a banked circular curve at the proper speed for the banking angle,what force cause it to follow the circular path?

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The innermost satellite of Jupiter orbits the planet with a radius of 422 × 103 km and a period of 1.77 days.What is the mass of Jupiter? (G = 6.67 × 10-11 N ∙ m2/kg2)

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