College Physics: A Strategic Approach (3rd Edition)
3rd Edition
ISBN: 9780321879721
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Textbook Question
Chapter 6, Problem 38P
In recent years, astronomers have found planets orbiting nearby stars that are quite different from planets in our solar system. Kepler-39b, has a diameter that is 1.2 times that of Jupiter, but a mass that is 18 times that of Jupiter. What would be the period of a satellite in a low orbit around this large, dense planet?
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Consider an object that is in an elliptical orbit with semimajor axis a = 7.9×106 m about a planet of mass M = 1.0×1023 kg.
(a) What is the speed of the object when it is closest to the planet at r = a/4?
(b) What is the speed of the object when it is furthest from the planet?
Chapter 6 Solutions
College Physics: A Strategic Approach (3rd Edition)
Ch. 6 - A cyclist goes around a level, circular track at...Ch. 6 - In uniform circular motion, which of the following...Ch. 6 - A particle moving along a straight line can have...Ch. 6 - Would having four-wheel drive on a car make it...Ch. 6 - Large birds like pheasants often walk short...Ch. 6 - When you drive fast on the highway with muddy...Ch. 6 - A ball on a string moves in a vertical circle as...Ch. 6 - Give an everyday example of circular motion for...Ch. 6 - Give an everyday example of circular motion for...Ch. 6 - Its been proposed that future space stations...
Ch. 6 - A car coasts at a constant speed over a circular...Ch. 6 - In Figure Q6.11, at the instant shown, is the...Ch. 6 - Riding in the back of a pickup truck can be very...Ch. 6 - Playground swings move through an arc of a circle....Ch. 6 - Variation in your apparent weight is desirable...Ch. 6 - A small projectile is launched parallel to the...Ch. 6 - Why is it impossible for an astronaut inside an...Ch. 6 - If every object in the universe feels an...Ch. 6 - A mountain climbers weight is slightly less on the...Ch. 6 - Is the earths gravitational force on the sun...Ch. 6 - A ball on a string moves around a complete circle,...Ch. 6 - As seen from above, a car rounds the curved path...Ch. 6 - As we saw in the chapter, wings on race cars push...Ch. 6 - Suppose you and a friend, each of mass 60 kg, go...Ch. 6 - The cylindrical space station in Figure Q6.25, 200...Ch. 6 - Two cylindrical space stations, the second four...Ch. 6 - The radius of Jupiter is 11 times that of earth,...Ch. 6 - A newly discovered planet has twice the mass and...Ch. 6 - Suppose one night the radius of the earth doubled...Ch. 6 - Currently, the moon goes around the earth once...Ch. 6 - Two planets orbit a star. You can ignore the...Ch. 6 - A 5.0-m-diameter merry-go-round is turning with a...Ch. 6 - The blade on a table saw spins at 3450 rpm. Its...Ch. 6 - An old-fashioned LP record rotates at 3313rpm. a....Ch. 6 - A typical hard disk in a computer spins at 5400...Ch. 6 - A CD-ROM drive in a computer spins the...Ch. 6 - The horse on a carousel is 4.0 m from the central...Ch. 6 - The radius of the earths very nearly circular...Ch. 6 - Modern wind turbines are larger than they appear,...Ch. 6 - Your roommate is working on his bicycle and has...Ch. 6 - Wind turbines designed for offshore installations...Ch. 6 - To withstand g-forces of up to 10g, caused by...Ch. 6 - A typical running track is an oval with...Ch. 6 - Figure P6.13 is a birds-eye view of particles on a...Ch. 6 - In short-track speed skating, the track has...Ch. 6 - A 200 g block on a 50-cm-long string swings in a...Ch. 6 - A cyclist is rounding a 20-m-radius curve at 12...Ch. 6 - A 1500 kg car drives around a flat 200-m-diameter...Ch. 6 - A fast pitch softball player does a windmill...Ch. 6 - A baseball pitching machine works by rotating a...Ch. 6 - A wind turbine has 12,000 kg blades that are 38 m...Ch. 6 - Youre driving your pickup truck around a curve...Ch. 6 - You have seen dogs shake to shed water from their...Ch. 6 - Gibbons, small Asian apes, move by brachiation,...Ch. 6 - The passengers in a roller coaster car feel 50%...Ch. 6 - You hold a bucket in one hand. In the bucket is a...Ch. 6 - A roller coaster car is going over the top of a...Ch. 6 - As a roller coaster car crosses the top of a...Ch. 6 - An 80-ft-diameter Ferris wheel rotates once every...Ch. 6 - A typical laboratory centrifuge rotates at 4000...Ch. 6 - A satellite orbiting the moon very near the...Ch. 6 - Spacecraft have been sent to Mars in recent years....Ch. 6 - The centers of a 10 kg lead ball and a 100 g lead...Ch. 6 - The gravitational force of a star on an orbiting...Ch. 6 - The free-fall acceleration at the surface of...Ch. 6 - What is the ratio of the suns gravitational force...Ch. 6 - Suppose the free-fall acceleration at some...Ch. 6 - In recent years, astronomers have found planets...Ch. 6 - In recent years, astronomers have found planets...Ch. 6 - a. What is the gravitational force of the sun on...Ch. 6 - What is the value of g on the surface of Saturn?...Ch. 6 - What is the free-fall acceleration at the surface...Ch. 6 - Planet X orbits the star Omega with a year that is...Ch. 6 - Prob. 43PCh. 6 - The International Space Station is in a...Ch. 6 - The asteroid belt circles the sun between the...Ch. 6 - An earth satellite moves in a circular orbit at a...Ch. 6 - In recent years, scientists have discovered...Ch. 6 - In recent years, scientists have discovered...Ch. 6 - In recent years, scientists have discovered...Ch. 6 - How fast must a plane fly along the earths equator...Ch. 6 - The car in Figure P6.51 travels at a constant...Ch. 6 - In the Bohr model of the hydrogen atom, an...Ch. 6 - A 75 kg man weighs himself at the north pole and...Ch. 6 - A 1500 kg car takes a 50-m-radius unbanked curve...Ch. 6 - A 500 g ball swings in a vertical circle at the...Ch. 6 - A 5.0 g coin is placed 15 cm from the center of a...Ch. 6 - A conical pendulum is formed by attaching a 500 g...Ch. 6 - In an old-fashioned amusement park ride,...Ch. 6 - The 0.20 kg puck on the frictionless, horizontal...Ch. 6 - While at the county fair, you decide to ride the...Ch. 6 - A car drives over the top of a hill that has a...Ch. 6 - A 100 g ball on a 60-cm-long string is swung in a...Ch. 6 - Prob. 63GPCh. 6 - The ultracentrifuge is an important tool for...Ch. 6 - A sensitive gravimeter at a mountain observatory...Ch. 6 - Suppose we could shrink the earth without changing...Ch. 6 - Planet Z is 10,000 km in diameter. The free-fall...Ch. 6 - Prob. 68GPCh. 6 - Prob. 69GPCh. 6 - How long will it take a rock dropped from 2.0 m...Ch. 6 - A 20 kg sphere is at the origin and a 10 kg sphere...Ch. 6 - a. At what height above the earth is the free-fall...Ch. 6 - Mars has a small moon, Phobos, that orbits with a...Ch. 6 - You are the science officer on a visit to a...Ch. 6 - Europa, a satellite of Jupiter, is believed to...Ch. 6 - The direction of the net force on the craft is A....Ch. 6 - Suppose a spacecraft orbits the moon in a very...Ch. 6 - How much time does it take for the spacecraft to...Ch. 6 - The material that comprises the side of the moon...
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- Suppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2arrow_forwardIo, a satellite of Jupiter, has an orbital period of 1.77 days and an orbital radius of 4.22 105 km. From these data, determine the mass of Jupiter.arrow_forwardIf a spacecraft is headed for the outer solar system, it may require several gravitational slingshots with planets in the inner solar system. If a spacecraft undergoes a head-on slingshot with Venus as in Example 11.6, find the spacecrafts change in speed vS. Hint: Venuss orbital period is 1.94 107 s, and its average distance from the Sun is 1.08 1011 m.arrow_forward
- Model the Moons orbit around the Earth as an ellipse with the Earth at one focus. The Moons farthest distance (apogee) from the center of the Earth is rA = 4.05 108 m, and its closest distance (perigee) is rP = 3.63 108 m. a. Calculate the semimajor axis of the Moons orbit. b. How far is the Earth from the center of the Moons elliptical orbit? c. Use a scale such as 1 cm 108 m to sketch the EarthMoon system at apogee and at perigee and the Moons orbit. (The semiminor axis of the Moons orbit is roughly b = 3.84 108 m.)arrow_forwardThe astronaut orbiting the Earth in Figure P3.27 is preparing to dock with a Westar VI satellite. The satellite is in a circular orbit 600 km above the Earth’s surface, where the free-fall acceleration is 8.21 m/s2. Take the radius of the Earth as 6 400 km. Determine the speed of the satellite and the time interval required to complete one orbit around the Earth, which is the period of the satellite. Figure P3.27arrow_forwardPlanetary orbits are often approximated as uniform circular motion. Figure P7.9 is a scaled representation of a planets orbit with a semimajor axis of 1.524 AU. a. Use Figure P7.9 to find the ratio of the Suns maximum gravitational field to its minimum gravitational field on the planets orbit. b. What is the ratio of the planets maximum speed to its minimum speed? c. Comment on the validity of approximating this orbit as uniform circular motion.arrow_forward
- Saturns ring system forms a relatively thin, circular disk in the equatorial plane of the planet. The inner radius of the ring system is approximately 92,000 km from the center of the planet, and the outer edge is about 137,000 km from the center of the planet. The mass of Saturn itself is 5.68 1026 kg. a. What is the period of a particle in the outer edge compared with the period of a particle in the inner edge? b. How long does it take a particle in the inner edge to move once around Saturn? c. While this inner-edge particle is completing one orbit abound Saturn, how far around Saturn does a particle on the outer edge move?arrow_forwardA planet has two moons with identical mass. Moon 1 is in a circular orbit of radius r. Moon 2 is in a circular orbit of radius 2r. The magnitude of the gravitational force exerted by the planet on Moon 2 is (a) four times as large (b) twice as large (c) the same (d) half as large (e) one-fourth as large as the gravitational force exerted by the planet on Moon 1.arrow_forward
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