Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 6, Problem 46PQ
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The magnitude of the
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You are designing the section of a roller coaster ride shown in the figure. Previous sections of the ride give the train a speed of
10.7 m/s at the top of the incline, which is h = 36.3 m above the ground. As any good engineer would, you begin your design
with safety in mind. Your local government's safety regulations state that the riders' centripetal acceleration should be no more
than n = 1.93 g at the top of the hump and no more than N = 5.77 g at the bottom of the loop. For this initial phase of your
design, you decide to ignore the effects of friction and air resistance. (Figure not to scale)
Rhump
What is the minimum radius Rhump you can use for the semi-circular hump?
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What is the minimum radius Roop you can use for the vertical loop?
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You are designing the section of a roller coaster ride shown in the figure. Previous sections of the ride give the train a speed of 11.3 m/s at the top of the incline, which is h = 37.5 m above the ground. As any good engineer would, you begin your design with safety in mind. Your local government's safety regulations state that the riders' centripetal acceleration should be no more than N = 5.37 g at the top of the hump and no more than N = 5.37 g at the bottom of the loop. For this initial phase of your design, you decide to ignore the effects of friction and air resistance. (Figure not to scale)
You are designing the section of a roller coaster ride shown in the figure. Previous sections of the ride give the train a speed of 10.7 m/s at the top of the incline, which is h=37.5 m above the ground. As any good engineer would, you begin your design with safety in mind. Your local government's safety regulations state that the riders' centripetal acceleration should be no more than n=1.73 g at the top of the hump and no more than N=5.45 gat the bottom of the loop. For this initial phase of your design, you decide to ignore the effects of friction and air resistance. (Figure not to scale)What is the minimum radius Rhump you can use for the semi-circular hump?What is the minimum radius Rloop you can use for the vertical loop?
Chapter 6 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 6.1 - CASE STUDY Skydiving Arguments Take a moment to...Ch. 6.3 - A box rests on a steel surface. Four sides of the...Ch. 6.3 - Prob. 6.3CECh. 6.4 - Imagine trying to push a heavy sofa across the...Ch. 6.4 - Prob. 6.5CECh. 6.4 - Prob. 6.6CECh. 6.4 - What forces act on you as you walk across a room?...Ch. 6.5 - Figure 6.20 shows four objects moving downward....Ch. 6.5 - Prob. 6.9CECh. 6.5 - Prob. 6.10CE
Ch. 6.6 - The following objects are moving in uniform...Ch. 6 - In many textbook problems, we ignore certain...Ch. 6 - Prob. 2PQCh. 6 - Prob. 3PQCh. 6 - Prob. 4PQCh. 6 - Prob. 5PQCh. 6 - Draw a free-body diagram for the burglar, who is...Ch. 6 - The shower curtain rod in Figure P6.7 is called a...Ch. 6 - A rectangular block has a length that is five...Ch. 6 - A man exerts a force of 16.7 N horizontally on a...Ch. 6 - A makeshift sign hangs by a wire that is extended...Ch. 6 - In Problem 10, the mass of the sign is 25.4 kg,...Ch. 6 - Prob. 12PQCh. 6 - A motorcyclist is traveling at 55.0 mph on a flat...Ch. 6 - A small steel I-beam (Fig. P6.14) is at rest with...Ch. 6 - A box is at rest with respect to the surface of a...Ch. 6 - A filled treasure chest of mass m with a long rope...Ch. 6 - A filled treasure chest (m = 375 kg) with a long...Ch. 6 - Rochelle holds her 2.80-kg physics textbook by...Ch. 6 - Prob. 19PQCh. 6 - A sled and rider have a total mass 56.8 kg. They...Ch. 6 - Prob. 21PQCh. 6 - Prob. 22PQCh. 6 - Prob. 23PQCh. 6 - Lisa measured the coefficient of static friction...Ch. 6 - An ice cube with a mass of 0.0507 kg is placed at...Ch. 6 - Prob. 26PQCh. 6 - Curling is a game similar to lawn bowling except...Ch. 6 - Prob. 28PQCh. 6 - A sled and rider have a total mass of 56.8 kg....Ch. 6 - A sled and rider have a total mass of 56.8 kg....Ch. 6 - A cart and rider have a total mass of 56.8 kg. The...Ch. 6 - Prob. 32PQCh. 6 - Prob. 33PQCh. 6 - Prob. 34PQCh. 6 - Prob. 35PQCh. 6 - Prob. 36PQCh. 6 - A racquetball has a radius of 0.0285 m. The drag...Ch. 6 - Prob. 38PQCh. 6 - Prob. 39PQCh. 6 - Prob. 40PQCh. 6 - An inflated spherical beach ball with a radius of...Ch. 6 - CASE STUDY In the train collision case study...Ch. 6 - Your sailboat has capsized! Fortunately, you are...Ch. 6 - Prob. 44PQCh. 6 - The drag coefficient C in FD=12CAv2 (Eq. 6.5)...Ch. 6 - Prob. 46PQCh. 6 - The speed of a 100-g toy car at the bottom of a...Ch. 6 - Prob. 48PQCh. 6 - Artificial gravity is produced in a space station...Ch. 6 - Escaping from a tomb raid gone wrong, Lara Croft...Ch. 6 - Harry Potter decides to take Pottery 101 as an...Ch. 6 - Harry sets some clay (m = 3.25 kg) on the edge of...Ch. 6 - A small disk of mass m is attached by a rope to a...Ch. 6 - Prob. 54PQCh. 6 - Prob. 55PQCh. 6 - Prob. 56PQCh. 6 - When a star dies, much of its mass may collapse...Ch. 6 - A satellite of mass 16.7 kg in geosynchronous...Ch. 6 - Banked curves are designed so that the radial...Ch. 6 - A block lies motionless on a horizontal tabletop....Ch. 6 - A car with a mass of 1453 kg is rolling along a...Ch. 6 - Prob. 62PQCh. 6 - Prob. 63PQCh. 6 - A box rests on a surface (Fig. P6.64). A force...Ch. 6 - A box of mass m rests on a rough, horizontal...Ch. 6 - A cylinder of mass M at rest on the end of a...Ch. 6 - Problems 67. 70. 71. and 72 are grouped. A A block...Ch. 6 - Instead of moving back and forth, a conical...Ch. 6 - Prob. 69PQCh. 6 - A Suppose you place a block of mass M on a plane...Ch. 6 - Prob. 71PQCh. 6 - Prob. 72PQCh. 6 - A car is driving around a flat, circularly curved...Ch. 6 - Prob. 74PQCh. 6 - Two children, with masses m1 = 35.0 kg and m2 =...Ch. 6 - Chris, a recent physics major, wanted to design...Ch. 6 - Prob. 77PQCh. 6 - Prob. 78PQCh. 6 - The radius of circular electron orbits in the Bohr...Ch. 6 - A particle of dust lands 45.0 mm from the center...Ch. 6 - Since March 2006, NASAs Mars Reconnaissance...
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- You are designing the section of a roller coaster ride shown in the figure. Previous sections of the ride give the train a speed of 10.7 m/s at the top of the incline, which is h = 36.7 m above the ground. As any good engineer would, you begin your design with safety in mind. Your local government's safety regulations state that the riders' centripetal acceleration should be no more than n = 1.85 g at the top of the hump and no more than N = 5.53 g at the bottom of the loop. For this initial phase of your design, you decide to ignore the effects of friction and air resistance. (Figure not to scale) h Roop terms of use contact us help about us privacy policy careersarrow_forwardYou are designing the section of a roller coaster ride shown in the figure. Previous sections of the ride give the train a speed of 15.5 m/s at the top of the incline, which is h = 36.7 m above the ground. As any good engineer would, you begin your design with safety in mind. Your local government's safety regulations state that the riders' centripetal acceleration should be no more than n = 1.77 g at the top of the hump and no more than N = 5.37 g at the bottom of the loop. For this initial phase of your design, you decide to ignore the effects of friction and air resistance. (Figure not to scale) What is the minimum radius Rhump you can use for the semi-circular hump? Rhump = What is the minimum radius Roop you can use for the vertical loop? Roop= R₁000 m marrow_forwardA roller-coaster car has a mass of 1110kg when fully loaded with passengers. As the car passes over the top of a circular hill of radius 22m, its speed is constant at 8m/s. What is the maximum possible speed the roller-coaster can travel without losing contact with the track at the top of the hill?arrow_forward
- You travel to a strange planet and find that you weigh 2,000 N. The planet rotates on an axis, similar to Earth. What is your centripetal acceleration on this planet? Assume that you have a mass of 55 kg.arrow_forwardPool ment... 2 2 S X 4. The drawing shows a version of the loop-the-loop trick for a small car. If the car is given an initial speed of v = 4.8 m/s, what is the largest value that the radius r can have if the car is to remain in contact with the circular track at all times? 3 E D 80 C $ 4 R 288 F V m % 5 F T G 6 B MacBook Air FG V Y H & 7 U N * 8 J M 9 K FD ) O F10 P -arrow_forwardIn addition to their remarkable top speeds, she does have impressive cornering abilities. In one study, the sideways force on the feet of a 50 kg cheetah, with its claws dug into the ground, was found to be 960 N. What was the cheetahs centripetal acceleration?arrow_forward
- A student ties a washer to the end of a string and swings it in a circle over her head. The washer has a constant speed of 2.4 m/s in a circular path. The radius of the circle is 0.51 m. What is the magnitude of the centripetal acceleration of the washer?arrow_forwardWhat is true of a car traveling in a circle of radius r at a constant speed v? O It will have a centripetal acceleration toward the center of the circle of magnitude v2/r. O It will have a centripetal acceleration away from the center of the circle of magnitude v/r. O It will have a tangential acceleration in the direction of the velocity. O It will have a tangential acceleration opposite the direction of the velocity. O It will have non-zero centripetal and tangential accelerations.arrow_forwardA boy whirls a stone in a horizontal circle of radius 1.64 m and at height 2.25 m above level ground. The string breaks, and the stone flies off horizontally and strikes the ground after traveling a horizontal distance of 8.66 m. What is the magnitude of the centripetal acceleration of the stone while in circular motion? Use g=9.81 m/s2.arrow_forward
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