Explanation Given data: The time ( T ) taken to complete one orbit is 7 hours and 39 minutes . The distance ( r ) from the center of Mars to the orbit is 9380 km . Formula used: Formula to calculate the speed in a circular orbit is given by, v = G M r (1) Here, G is the gravitational constant, M is the mass of the Mars, and r is the distance from the center of the Mars to the orbit. Formula to calculate the equation relating the speed to the period and radius is given by v = 2 π r T (2) Here, r is the distance from the center of the Mars to the orbit, and T is the time period of the motion. Explanation: The time ( T ) taken to complete one orbit is 7 hours and 39 minutes . That is, T = 7 hours + 39 minutes Substitute the unit value 3600 s for 1 hour and 60 s for 1 minutes to find T . T = 7 ( 3600 s ) + 39 ( 60 s ) = 27540 s Find the ratio of Mars’s mass to the mass of the earth. Take squaring on both sides in the equation (1) as follows, v 2 = G M r Rearrange the above equation as follows, M = v 2 r G (3) Substitute 2 π r T for v in equation (3), M = ( 2 π r T ) 2 r G = 4 π 2 r 3 T 2 G (4) Substitute 9380 km for r , 6.67 × 10 − 11 N ⋅ m 2 kg 2 for G and 27540 s for T in equation (4), M = 4 π 2 ( 9380 km ) 3 ( 27540 s ) 2 ( 6

College Physics: A Strategic Approach (4th Edition)

4th Edition

ISBN: 9780134609034

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

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Chapter 6, Problem 46P

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The ratio of Mars’s mass to the mass of the earth.

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Chapter 6, Problem 45P

Chapter 6, Problem 47P

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Chapter 6 Solutions

College Physics: A Strategic Approach (4th Edition)

Ch. 6 - A cyclist goes around a level, circular track at...Ch. 6 - In uniform circular motion, which of the following...Ch. 6 - Prob. 3CQ Ch. 6 - Prob. 4CQ 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 - Prob. 10CQ

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 - Prob. 16CQ 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 - Prob. 20CQ 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 - Prob. 24MCQ Ch. 6 - Prob. 25MCQ Ch. 6 - The cylindrical space station in Figure Q6.25, 200...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 - Prob. 2P 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 - Prob. 5P 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 - Prob. 9P Ch. 6 - Prob. 10P Ch. 6 - Prob. 11P 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 - Prob. 15P 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 - Prob. 19P 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 - Prob. 22P Ch. 6 - Gibbons, small Asian apes, move by brachiation,...Ch. 6 - The passengers in a roller coaster car feel 50%...Ch. 6 - Prob. 25P 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 - Prob. 28P Ch. 6 - Prob. 29P Ch. 6 - Prob. 30P Ch. 6 - Prob. 31P 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 - Prob. 38P Ch. 6 - In recent years, astronomers have found planets...Ch. 6 - Prob. 40P 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 - Prob. 44P Ch. 6 - Prob. 45P Ch. 6 - Prob. 46P Ch. 6 - Prob. 47P Ch. 6 - Planet X orbits the star Omega with a year that is...Ch. 6 - The International Space Station is in a...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 - Prob. 55GP Ch. 6 - A 75 kg man weighs himself at the north pole and...Ch. 6 - Prob. 57GP Ch. 6 - Prob. 58GP Ch. 6 - Prob. 60GP Ch. 6 - Prob. 61GP Ch. 6 - Prob. 62GP Ch. 6 - Prob. 63GP Ch. 6 - Prob. 64GP Ch. 6 - A 5.0 g coin is placed 15 cm from the center of a...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 - The ultracentrifuge is an important tool for...Ch. 6 - A sensitive gravimeter at a mountain observatory...Ch. 6 - Prob. 72GP Ch. 6 - Planet Z is 10,000 km in diameter. The free-fall...Ch. 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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