College Physics: A Strategic Approach (3rd Edition)
3rd Edition
ISBN: 9780321879721
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 14, Problem 60GP
Bungee Man is a superhero who does super deeds with the help of Super Bungee cords. The Super Bungee cords act like ideal springs no matter how much they are stretched. One day, Bungee Man stopped a school bus that had lost its brakes by hooking one end of a Super Bungee to the rear of the bus as it passed him, planting his feet, and holding on to the other end of the Bungee until the bus came to a halt. (Of course, he then had to quickly release the Bungee before the bus came flying back at him.) The mass of the bus, including passengers, was 12,000 kg, and its speed was 21.2 m/s. The bus came to a stop in 50.0 m.
a. What was the spring constant of the Super Bungee?
b. How much time after the Super Bungee was attached did it take the bus to stop?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
In Haiti, public transportation is often by taptaps, small pickup trucks with seats along the sides of the pickup bed and railings to which passengers can hang on. Typically they carry two dozen or more passengers plus an assortment of chickens, goats, luggage, etc. Putting this much into the back of a pickup truck puts quite a large load on the truck springs.
A truck has springs for each wheel, but for simplicity assume that the individual springs can be treated as one spring with a spring constant that includes the effect of all the springs. Also for simplicity, assume that all four springs compress equally when weight is added to the truck and that the equilibrium length of the springs is the length they have when they support the load of an empty truck.
Part A
A 67 kg driver gets into an empty taptap to start the day's work. The springs compress 1.7×10−2 m . What is the effective spring constant of the spring system in the taptap?
People who ride motorcycles and bicycles learn to look out for bumps in the road and especially for washboarding, a condition in which many equally spaced ridges are worn into the road. What is so bad about washboarding? A motorcycle has several springs and shock absorbers in its suspension, but you can model it as a single spring supporting a block. You can estimate the force constant by thinking about how far the spring compresses when a heavy rider sits on the seat. A motorcyclist traveling at highway speed must be particularly careful of washboard bumps that are a certain distance apart. What is the order of magnitude of their separation distance?
Car enthusiasts often lower their cars closer to the ground as a matter of style. James wants to lower his car by replacing all four of his original coil springs with new ones offered as an option by the car manufacturer. Note that changing the coil springs on a car can unsafely affect its handling. Consult your national or state laws before altering the suspension on any car.
The new springs will be identical to the original springs, except the force constant will be 4955.00 N/m smaller. When James removes the original springs, he discovers that the length of each spring expands from 8.55 cm (its length when installed) to 12.00 cm (its length with no load placed on it). If the mass of the car body is 1155.00 kg, by how much will the body be lowered with the new springs installed, compared to its original height?
Chapter 14 Solutions
College Physics: A Strategic Approach (3rd Edition)
Ch. 14 - Give three real-world examples of oscillatory...Ch. 14 - A persons heart rate is given in beats per minute....Ch. 14 - Figure Q14.3 shows the position-versus-time graph...Ch. 14 - A tall building is swaying back and forth on a...Ch. 14 - A child is on a swing, gently swinging back and...Ch. 14 - A block oscillating on a spring has an amplitude...Ch. 14 - A block oscillating on a spring has a maximum...Ch. 14 - A block oscillating on a spring has a maximum...Ch. 14 - For the graph in Figure Q14.9, determine the...Ch. 14 - For the graph in Figure Q14.10 , determine the...
Ch. 14 - A block oscillating on a spring has period t = 2.0...Ch. 14 - A pendulum on Planet X, where the value of g is...Ch. 14 - Flies flap their wings at frequencies much too...Ch. 14 - Denver is at a higher elevation than Miami; the...Ch. 14 - If you want to play a tune on wine glasses, youll...Ch. 14 - It is possible to identify promising locations for...Ch. 14 - Sprinters push off from the ball of their foot,...Ch. 14 - Gibbons move through the trees by swinging from...Ch. 14 - What is the difference between the driving...Ch. 14 - Humans have a range of hearing of approximately 20...Ch. 14 - A person driving a truck on a washboard road, one...Ch. 14 - Weve seen that stout tendons in the legs of...Ch. 14 - A spring has an unstretched length of 20 cm. A 100...Ch. 14 - Figure Q14.24 represents the motion of a mass on a...Ch. 14 - A ball of mass m oscillates on a spring with...Ch. 14 - A car bounces up and down on its springs at 1.0 Hz...Ch. 14 - If you carry heavy weights in your hands, how will...Ch. 14 - A heavy brass ball is used to make a pendulum with...Ch. 14 - Very loud sounds can damage hearing by injuring...Ch. 14 - When a guitar string plays the note A, the string...Ch. 14 - In the aftermath of an intense earthquake, the...Ch. 14 - In taking your pulse, you count 75 heartbeats in 1...Ch. 14 - A spring scale hung from the ceiling stretches by...Ch. 14 - A heavy steel ball is hung from a cord to make a...Ch. 14 - An air-track glider attached to a spring...Ch. 14 - An air-track glider is attached to a spring. The...Ch. 14 - What are the (a) amplitude and (b) frequency of...Ch. 14 - What are the (a) amplitude and (b) frequency of...Ch. 14 - During an earthquake, the top of a building...Ch. 14 - Some passengers on an ocean cruise may suffer from...Ch. 14 - A passenger car traveling down a rough road...Ch. 14 - The New England Merchants Bank Building in Boston...Ch. 14 - We can model the motion of a dragonflys wing as...Ch. 14 - We can model the motion of a bumblebees wing as...Ch. 14 - Hummingbirds may seem fragile, but their wings are...Ch. 14 - a. When the displacement of a mass on a spring is...Ch. 14 - A 1.0 kg block is attached to a spring with spring...Ch. 14 - A block attached to a spring with unknown spring...Ch. 14 - A 200 g air-track glider is attached to a spring....Ch. 14 - The position of a 50 g oscillating mass is given...Ch. 14 - A 50-em-long spring is suspended from the ceiling....Ch. 14 - A 200 g mass attached to a horizontal spring...Ch. 14 - A 507 g mass oscillates with an amplitude of 10.0...Ch. 14 - A mass on a string of unknown length oscillates as...Ch. 14 - The mass in a pendulum clock completes one...Ch. 14 - A 200 g ball is tied to a string. It is pulled to...Ch. 14 - The free-fall acceleration on the moon is 1.62...Ch. 14 - Astronauts on the first trip to Mars take along a...Ch. 14 - A building is being knocked down with a wrecking...Ch. 14 - Interestingly, there have been several studies...Ch. 14 - You and your friends find a rope that hangs down...Ch. 14 - A thin, circular hoop with a radius of 0.22 m is...Ch. 14 - Prob. 34PCh. 14 - The amplitude of an oscillator decreases to 36.8%...Ch. 14 - A physics department has a Foucault pendulum, a...Ch. 14 - Calculate and draw an accurate displacement graph...Ch. 14 - A small earthquake starts a lamppost vibrating...Ch. 14 - When you drive your car over a bump, the springs...Ch. 14 - Taipei 101 (a 101-story building in Taiwan) is...Ch. 14 - A 25 kg child sits on a 2.0-m-long rope swing. You...Ch. 14 - Your car rides on springs, so it will have a...Ch. 14 - Vision is blurred if the head is vibrated at 29 Hz...Ch. 14 - A spring has an unstretched length of 12 cm. When...Ch. 14 - A 0.40 kg ball is suspended from a spring with...Ch. 14 - A spring is hanging from the ceiling. Attaching a...Ch. 14 - A spring with spring constant 15.0 N/m hangs from...Ch. 14 - A spring is hung from the ceiling. When a coffee...Ch. 14 - On your first trip to Planet X you happen to take...Ch. 14 - An object oscillating on a spring has the velocity...Ch. 14 - The two graphs in Figure P14.51 are for two...Ch. 14 - As weve seen, astronauts measure their mass by...Ch. 14 - A 100 g ball attached to a spring with spring...Ch. 14 - The ultrasonic transducer used in a medical...Ch. 14 - A compact car has a mass of 1200 kg. When empty,...Ch. 14 - A car with a total mass of 1400 kg (including...Ch. 14 - A 500 g air-track glider attached to a spring with...Ch. 14 - A 1.00 kg block is attached to a horizontal spring...Ch. 14 - Figure P14.59 shows two springs, each with spring...Ch. 14 - Bungee Man is a superhero who does super deeds...Ch. 14 - The earths free-fall acceleration varies from...Ch. 14 - Orangutans can move by brachiation, swinging like...Ch. 14 - An infants toy has a 120 g wooden animal hanging...Ch. 14 - A jellyfish can propel itself with jets of water...Ch. 14 - A 200 g oscillator in a vacuum chamber has a...Ch. 14 - While seated on a tall bench, extend your lower...Ch. 14 - We can make a static measurement to deduce the...Ch. 14 - If, during a stride, the stretch causes her center...Ch. 14 - If we imagine a full cycle of the oscillation,...Ch. 14 - Given what you have calculated for the period of...Ch. 14 - Suppose a 12 mg fly lands in the center of a...Ch. 14 - Modeling the motion of the fly on the web as a...Ch. 14 - If the web were vertical rather than horizontal,...Ch. 14 - Spiders are more sensitive to oscillations at...
Additional Science Textbook Solutions
Find more solutions based on key concepts
the momentum of a 100 kg football player.
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
Calculate the mass of a mole of dry air, which is a mixture of N2(78%byvolume),O2(21%), and argon(1%).
An Introduction to Thermal Physics
29. Suppose one night the radius of the earth doubled but its mass stayed the same. What would be an approximat...
College Physics: A Strategic Approach (4th Edition)
The medical profession divides the ultraviolet region of the electromagnetic spectrum into three bands: UVA (32...
Essential University Physics: Volume 2 (3rd Edition)
A satellite is spinning at 6.0 rev/s. The satellite consists of a main body in the shape of a sphere of radius ...
University Physics Volume 1
Choose two successive points. In the space at right, sketch the velocity vectors corresponding to those points....
Tutorials in Introductory Physics
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Use the data in Table P16.59 for a block of mass m = 0.250 kg and assume friction is negligible. a. Write an expression for the force FH exerted by the spring on the block. b. Sketch FH versus t.arrow_forwardA block of mass m = 2.00 kg is attached to a spring of force constant k = 500 N/m as shown in Figure P7.15. The block is pulled to a position xi = 5.00 cm to the right of equilibrium and released from rest. Find the speed the block has as it passes through equilibrium if (a) the horizontal surface is frictionless and (b) the coefficient of friction between block and surface is k = 0.350. Figure P7.15arrow_forwardA spring 1.50 m long with force constant 475 N/m is hung from the ceiling of an elevator, and a block of mass 10.0 kg is attached to the bottom of the spring. (a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (b) If the elevator subsequently accelerates upward at 2.00 m/s2, what is the position of the block, taking the equilibrium position found in part (a) as y = 0 and upwards as the positive y-direction. (c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. What is the amplitude of its motion?arrow_forward
- A lightweight spring with spring constant k = 225 N/m is attached to a block of mass m1 = 4.50 kg on a frictionless, horizontal table. The blockspring system is initially in the equilibrium configuration. A second block of mass m2 = 3.00 kg is then pushed against the first block, compressing the spring by x = 15.0 cm as in Figure P16.77A. When the force on the second block is removed, the spring pushes both blocks to the right. The block m2 loses contact with the springblock 1 system when the blocks reach the equilibrium configuration of the spring (Fig. P16.77B). a. What is the subsequent speed of block 2? b. Compare the speed of block 1 when it again passes through the equilibrium position with the speed of block 2 found in part (a). 77. (a) The energy of the system initially is entirely potential energy. E0=U0=12kymax2=12(225N/m)(0.150m)2=2.53J At the equilibrium position, the total energy is the total kinetic energy of both blocks: 12(m1+m2)v2=12(4.50kg+3.00kg)v2=(3.75kg)v2=2.53J Therefore, the speed of each block is v=2.53J3.75kg=0.822m/s (b) Once the second block loses contact, the first block is moving at the speed found in part (a) at the equilibrium position. The energy 01 this spring-block 1 system is conserved, so when it returns to the equilibrium position, it will be traveling at the same speed in the opposite direction, or v=0.822m/s. FIGURE P16.77arrow_forwardThe position of a particle attached to a vertical spring is given by y=(y0cost)j. The y axis points upward, y0 = 14.5 cm. and = 18.85 rad/s. Find the position of the particle at a. t = 0 and b. t = 9.0 s. Give your answers in centimeters.arrow_forwardAn object of mass m1 = 9.00 kg is in equilibrium when connected to a light spring of constant k = 100 N/m that is fastened to a wall as shown in Figure P12.67a. A second object, m2 = 7.00 kg, is slowly pushed up against m1, compressing the spring by the amount A = 0.200 m (see Fig. P12.67b). The system is then released, and both objects start moving to the right on the frictionless surface. (a) When m1 reaches the equilibrium point, m2 loses contact with m1 (see Fig. P12.67c) and moves to the right with speed v. Determine the value of v. (b) How far apart are the objects when the spring is fully stretched for the first time (the distance D in Fig. P12.67d)? Figure P12.67arrow_forward
- A particle of mass m moving in one dimension has potential energy U(x) = U0[2(x/a)2 (x/a)4], where U0 and a are positive constants. (a) Find the force F(x), which acts on the particle. (b) Sketch U(x). Find the positions of stable and unstable equilibrium. (c) What is the angular frequency of oscillations about the point of stable equilibrium? (d) What is the minimum speed the particle must have at the origin to escape to infinity? (e) At t = 0 the particle is at the origin and its velocity is positive and equal in magnitude to the escape speed of part (d). Find x(t) and sketch the result.arrow_forwardCar enthusiasts often lower their cars closer to the ground as a matter of style. James wants to lower his car by replacing all four of his original coil springs with new ones offered as an option by the car manufacturer. Note that changing the coil springs on a car can unsafely affect its handling. Consult your national or state laws before altering the suspension on any car. The new springs will be identical to the original springs, except the force constant will be 6155.00 N/m6155.00 N/m smaller. When James removes the original springs, he discovers that the length of each spring expands from 8.55 cm (its length when installed) to 12.00 cm (its length with no load placed on it). If the mass of the car body is 1355.00 kg,1355.00 kg, by how much will the body be lowered with the new springs installed, compared to its original height? James was hoping for an overall lowering of 7 cm. Which statement most closely describes James' results? 1) The change is too drastic, causing the car…arrow_forwardA heavy-duty stapling gun uses a 0.177-kg metal rod that rams against the staple to eject it. The rod is pushed by a stiff spring called a "ram spring" (k = 36100 N/m). The mass of this spring may be ignored. Squeezing the handle of the gun first compresses the ram spring by 3.28 cm from its unstrained length and then releases it. Assuming that the ram spring is oriented vertically and is still compressed by 1.13 cm when the downward-moving ram hits the staple, find the speed of the ram at the instant of contact.arrow_forward
- The springs of a pickup truck act like a single spring with a force constant of k = 1.25 × 105 N/m. a)How many centimeters will the truck be lowered by its maximum load of 1080 kg? b)If the pickup truck has four identical springs, what is the force constant of each, in newtons per meter? Assume the allowed compression is the same as in part (a).arrow_forwardA ball with a mass of 240 g is tied to a light string that has a length of 2.80 m. The end of the string is tied to a hook, and the ball hangs motionless below the hook. Keeping the string taut, you move the ball back and up until it is a vertical distance of 1.08 m above its equilibrium point. You then release the ball from rest, and it oscillates back and forth, pendulum style. As usual, we will neglect air resistance. Use g = 9.80 m/s2. (a) What is the highest speed the ball achieves in its subsequent motion? m/s (b) What is the maximum height the ball reaches in its subsequent motion (measured from its equilibrium position)? (c) When the ball passes through the equilibrium point for the first time, what is the magnitude of the tension in the string? Narrow_forwardA block of mass (m = 12 kg) is attached at its top to a string that goes up and loops over a pulley. The end of the string is then attached to a second block of mass (m = 16 kg) that hangs freely. The bottom of the 12 kg block is attached to a spring with spring constant (k = 120 N/m). This spring is then attached to the floor. a) What is the stretch in the spring from its relaxed position? 6) If the spring was detached from the 12 kg block, what would the acceleration of the two blocks be?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY