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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Chapter 6, Problem 15CQ
Variation in your apparent weight is desirable when you ride a roller coaster; it makes the ride fun. However, too much variation over a short period of time can be painful. For this reason, the loops of real roller coasters are not simply circles like Figure 6.16a. A typical loop is shown in Figure Q6.15. The radius of the circle that matches the track at the top of the loop is much smaller than that of a matching circle at other places on the track. Explain why this shape gives a more comfortable ride than a circular loop.
Figure Q6.15
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13. A roller coaster at the Six Flags
QIC Great America amusement park
in Gurnee, Illinois, incorporates
some clever design technology
and some basic physics. Each ver-
tical loop, instead of being cir-
cular, is shaped like a teardrop
(Fig. P6.13). The cars ride on
the inside of the loop at the top,
and the speeds are fast enough
to ensure the cars remain on the
track. The biggest loop is 40.0 m
high. Suppose the speed at the
top of the loop is 13.0 m/s and
the corresponding centripetal
acceleration of the riders is 2g. (a) What is the radius of the
arc of the teardrop at the top? (b) If the total mass of a car
plus the riders is M, what force does the rail exert on the car
at the top? (c) Suppose the roller coaster had a circular loop
of radius 20.0 m. If the cars have the same speed, 13.0 m/s
at the top, what is the centripetal acceleration of the riders
at the top? (d) Comment on the normal force at the top in
the situation described in part (c) and on the advantages of
having…
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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