Exam 6: Circular Motion,orbits,and Gravity

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You need to make a sharp turn on a flat road,making a radius of curvature of 15 meters.How does the required force of static friction between your tires compare if you make the turn at 30 mph vs.60 mph?

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If we assume that an electron is orbiting a proton just like the moon orbits Earth,find the electron's orbital speed due to the gravitational attraction between itself and the proton.Take the orbital radius as 1.00 × 10-10 m.(This is a very wrong assumption to make. )

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The weight of spaceman Speff,solely due to the gravitational pull of planet X at its surface,is 389 N.If he moves to a distance of 1.86 × 104 km above the planet's surface,his weight changes to 24.31 N.What is the mass of planet X,if Speff's mass is 75 kg?

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A proton moving at 0.999 of the speed of light orbits a black hole 4972 km from the center of the attractor.What is the mass of the black hole?

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Find the orbital speed of an ice cube in the rings of Saturn,if the mass of Saturn is 5.67 x 1026 kg and the rings have an average radius of 100,000 km.

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Future space stations will create an artificial gravity by rotating.Consider a cylindrical space station of 380 m diameter rotating about its axis.Astronauts walk on the inside surface of the space station.What rotation period will provide "normal" gravity?

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A satellite is orbiting Earth.If a payload of material is added until it doubles the satellite's mass,Earth's pull of gravity on this satellite will double but the satellite's orbit will not be affected.

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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 because an outward force balances the pull of gravity on the water.

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Satellites in circular orbits around Earth are in equilibrium because they have uniform speed.

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Through what angle in degrees does a 33 rpm record turn in 0.25 s?

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If Earth had twice as much mass as it now does but were also twice its present diameter,the acceleration due to gravity at its surface would be the same as it is now.

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An astronaut is in equilibrium when he is positioned 140 km from planet X and 581 km from planet Y,along the straight line joining the planets' centers.What is the ratio of the masses X/Y?

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A satellite of mass M takes time T to orbit a planet.If the satellite had twice as much mass,the time for it to orbit the planet would be:

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A satellite having orbital speed V orbits a planet of mass M.If the planet had half as much mass,the orbital speed of the satellite would be:

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Explain,from a force standpoint,why you need to reduce your normal driving speed around curves when it rains.

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At a given point above the surface of Earth,the gravitational acceleration is equal to 7.8 m/s2.The altitude of this point,above the surface of Earth,in km,is closest to:

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Spaceman Speff orbits planet X with his spaceship.To remain in orbit at 421 km from the planet's center,he should maintain a speed of 80 m/s.What is the mass of planet X?

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The figure shows two wires tied to a 3.3 kg sphere that revolves in a horizontal circle at constant speed.At this particular speed the tension is the same in both wires.What is the tension? The figure shows two wires tied to a 3.3 kg sphere that revolves in a horizontal circle at constant speed.At this particular speed the tension is the same in both wires.What is the tension?

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An Earth satellite needs to have its orbit changed so the new orbit will be twice as far from the center of Earth as the original orbit.The new orbital period will be twice as long as the original period.

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Suppose we want a satellite to revolve around Earth 5 times a day.What should the radius of its orbit be? (Neglect the presence of the Moon. )

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