Essential University Physics
4th Edition
ISBN: 9780134988559
Author: Wolfson, Richard
Publisher: Pearson Education,
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 7, Problem 40P
As a highway engineer, you’re asked to design a runaway truck lane on a mountain road. The lane will head uphill at 30° and should be able to accommodate a 16,000-kg truck with failed brakes entering the lane at 110 km/h. How long should you make the lane? Neglect friction.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A motorcycle daredevil plans to ride up a 2.0-mm-high, 20∘∘ ramp, sail across a 10-mm-wide pool filled with hungry crocodiles, and land at ground level on the other side. He has done this stunt many times and approaches it with confidence. Unfortunately, the motorcycle engine dies just as he starts up the ramp. He is going 10.4 m/sm/s at that instant, and the rolling friction of his rubber tires (coefficient 0.02) is not negligible.
Justify your answer by calculating the distance he travels through the air after leaving the end of the ramp.
x =
A 3.0 kg block is set moving with an initial speed of 20 m/s on a rough horizontal surface. If the coefficient of kinetic friction is 0.40, how far does the block travel before it stops?
You and your friend Peter are putting new shingles on a roof pitched at 23 ∘ . You're sitting on the very top of the roof when Peter, who is on the edge of the roof, 5.2 m away, asks you for the box of nails. Rather than carry the 2.3 kg box of nails down to Peter, you decide to give the box a push and have it slide down to him.
If the coefficient of kinetic friction between the box and the roof is 0.52, with what speed should you push the box to have it gently come to rest right at the edge of the roof?
Chapter 7 Solutions
Essential University Physics
Ch. 7.1 - Suppose it takes the same amount of work to push a...Ch. 7.2 - Gravitational force actually decreases with...Ch. 7.3 - A bowling ball is tied to the end of a long rope...Ch. 7.4 - For which of the following systems is (1)...Ch. 7.5 - A bowling ball is tied to the end of a long rope...Ch. 7.6 - The figure shows the potential energy associated...Ch. 7 - Figure 7.14 shows force vectors at different...Ch. 7 - Is the conservation-of-mechanical-energy principle...Ch. 7 - Why cant we define a potential energy associated...Ch. 7 - Can potential energy be negative? Can kinetic...
Ch. 7 - If the potential energy is zero at a given point,...Ch. 7 - If the difference in potential energy between two...Ch. 7 - If the difference in potential energy between two...Ch. 7 - If conservation of energy is a law of nature, why...Ch. 7 - Determine the work you would have to do to move a...Ch. 7 - Now lake Fig. 7.15 lo lie in a vertical plane, and...Ch. 7 - Rework Example 7.1, now taking the zero of...Ch. 7 - Find the potential energy associated with a 70-kg...Ch. 7 - You fly from Bostons Logan Airport, at sea level,...Ch. 7 - How much energy can be stored in a spring with k =...Ch. 7 - How far would you have to stretch a spring with k...Ch. 7 - A biophysicist grabs the ends of a DNA strand with...Ch. 7 - A skier starts down a frictionless 32 slope. After...Ch. 7 - A 10,000-kg Navy jet lands on an aircraft carrier...Ch. 7 - A 120-g arrow is shot vertically from a bow whose...Ch. 7 - In a railroad yard, a 35,000-kg boxcar moving at...Ch. 7 - You work for a toy company, and youre designing a...Ch. 7 - A 54-kg ice skater pushes off the wall of the...Ch. 7 - Prob. 23ECh. 7 - A particle slides along the frictionless track...Ch. 7 - A particle slides back and forth on a frictionless...Ch. 7 - A particle is trapped in a potential well...Ch. 7 - Example 7.3: A climbing rope is designed to exert...Ch. 7 - Example 7.3: A climbing rope exerts a force given...Ch. 7 - Example 7.3: The force on an electron in an...Ch. 7 - Example 7.3: The potential energy of an electron...Ch. 7 - Prob. 31ECh. 7 - Prob. 32ECh. 7 - Example 7.5: In a railroad switchyard, a rail car...Ch. 7 - Prob. 34ECh. 7 - The reservoir at Northfield Mountain Pumped...Ch. 7 - A carbon monoxide molecule can be modeled as a...Ch. 7 - A more accurate expression for the force law of...Ch. 7 - For small stretches, the Achilles tendon can be...Ch. 7 - A particle moves along the x-axis under the...Ch. 7 - As a highway engineer, youre asked to design a...Ch. 7 - A spring of constant k, compressed a distance x,...Ch. 7 - A child is on a swing whose 3.2-m-long chains make...Ch. 7 - With x x0 = h and a = g, Equation 2.11 gives the...Ch. 7 - The nuchal ligament is a cord-like structure that...Ch. 7 - A 200-g block slides back and forth on a...Ch. 7 - Automotive standards call for bumpers that sustain...Ch. 7 - A block slides on the frictionless loop-the-loop...Ch. 7 - The maximum speed of the pendulum bob in a...Ch. 7 - A mass m is dropped from height h above the top of...Ch. 7 - A particle with total energy 3.5 J is trapped in a...Ch. 7 - (a) Derive an expression for the potential energy...Ch. 7 - In ionic solids such as NaCl (salt), the potential...Ch. 7 - Repeat Exercise 19 for the case when the...Ch. 7 - As an energy-efficiency consultant, youre asked to...Ch. 7 - A spring of constant k = 340 N/m is used to launch...Ch. 7 - A bug slides back and forth in a bowl 15 cm deep,...Ch. 7 - A 190-g block is launched by compressing a spring...Ch. 7 - Prob. 58PCh. 7 - An 840-kg roller-coaster car is launched from a...Ch. 7 - Prob. 60PCh. 7 - A child sleds down a frictionless hill whose...Ch. 7 - A bug lands on top of the frictionless, spherical...Ch. 7 - A particle of mass m is subject to a force...Ch. 7 - A block of weight 4.5 N is launched up a 30...Ch. 7 - Your engineering department is asked to evaluate...Ch. 7 - Your roommate is writing a science fiction novel...Ch. 7 - You have a summer job at your universitys zoology...Ch. 7 - Biomechanical engineers developing artificial...Ch. 7 - Blocks with different masses are pushed against a...Ch. 7 - Nuclear fusion is the process that powers the Sun....Ch. 7 - Nuclear fusion is the process that powers the Sun....Ch. 7 - Nuclear fusion is the process that powers the Sun....Ch. 7 - Nuclear fusion is the process that powers the Sun....
Additional Science Textbook Solutions
Find more solutions based on key concepts
2.79 A helicopter carrying Dr. Evil takes off with a constant upward acceleration of 5.0 m/s2. Secret agent Aus...
University Physics with Modern Physics (14th Edition)
Choose the best answer to each of the following. Explain your reasoning. The Big Bang is the name astronomers g...
Cosmic Perspective Fundamentals
13.58 The 0.100-kg sphere in Fig. P13.58 is released from rest at the position shown in the sketch, with its ce...
University Physics (14th Edition)
A series RLC circuit with R = 47 , L = 250 mH, and C = 4.0 F is connected across a sine-wave generator whose pe...
Essential University Physics (3rd Edition)
2. Which of the following statements are true about the lenses used in eyeglasses to correct nearsightedness an...
College Physics (10th Edition)
The star Alpha Centauri is 4.21016m away from Earth. Show that a radio message received today from this star wo...
Conceptual Integrated Science
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
- A block of mass m is initially at rest at the top of an inclined plane, which has a height of 4.8 m and makes an angle of θ = 27° with respect to the horizontal. After being released, it is observed to be traveling at v = 0.65 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the block and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. a)What is the speed of the block, in meters per second, just after it leaves the inclined plane? b)Find the distance, d, in meters.arrow_forwardYou're standing at the top of a snow-covered hill, sloped at 20.0°. The coefficient of kinetic friction between your sled and the hill is 0.534. Unfortunately, there's a running stream just at the bottom of the hill, and you don't want to get wet. If you and your sled together have a mass of 87.0 kg, with what speed should you push off with to stop just before the stream, 77.0 m down the slope?arrow_forwardA boy coasts down a hill on a sled, reaching a level surface at the bottom with a speed of 6.6 m/s. If the coefficient of friction between the sled's runners and snow is 0.060 and the boy and sled together weigh 590 N, how far does the sled travel on the level surface before coming to rest?arrow_forward
- A 3.0 kg block falling from a height of 7.0 m landed on a vertical spring whose force constant is 2 500 n/m. By how much is the spring compressed?arrow_forwardThree wooden blocks with masses of 2.0 kg, 12 kg, and 10 kg are attached by a rope and pulley system, asshown. When the 12-kg block is released from rest, it has a speed of 1.0 m/s after moving 1.0 m. Find thecoefficient of kinetic friction between the 12-kg block and the horizontal surface on which it rests. [Answer: µk = 0.56]arrow_forwardAn 85 kg man stands in a very strong wind moving at 14 m/s at torso height. As you know, he will need to lean in to the wind, and we can model the situation to see why. Assume that the man has a mass of 85 kg, with a center of gravity 1.0 m above the ground. The action of the wind on his torso, which we approximate as a cylinder 50 cm wide and 90 cm long centered 1.2 m above the ground, produces a force that tries to tip him over backward. To keep from falling over, he must lean forward. a. What is the magnitude of the torque provided by the wind force? Take the pivot point at his feet. Assume that he is standing vertically.b. At what angle to the vertical must the man lean to provide a gravitational torque that is equal to this torque due to the wind force?arrow_forward
- A crate of mass mm is initially at rest at the peak of an inclined plane which has a height of 4.43m4.43m and makes an angle of θ=24.2 with respect to the horizontal. After it has been released, it is found to be traveling at v=0.99m/s a distance d after the end of the inclined plane, as shown. The coefficient of kinetic friction between the crate and the plane is μp=0.1, and the coefficient of friction on the horizontal surface is μr=0.2. a.-Find the distance, d, in meters.arrow_forwardIf the four Pratt & Whitney PW4000 turbofan engines of a Boeing747-400 aircraft do 5.62 Million Joules of work during a takeoff run that is 3185 m long, calculate the total thrust during takeoff for each of the PW4000 engines. what is the approximate maximum thrust of each of the Boeing 747-400's engines during takeoff (in pounds-force)?arrow_forwardA child of mass m starts from rest and slides without friction from a height h along a curved waterslide (Fig. P5.46). She is launched from a height h/5 into the pool. (a) Is mechanical energy conserved? Why? (b) Give the gravitational potential energy associated with the child and her kinetic energy in terms of mgh at the following positions: the top of the waterslide, the launching point, and the point where she lands in the pool. (c) Determine her initial speed V0 at the launch point in terms of g and h. (d) Determine her maximum airborne height ymax in terms of h, g, and the horizontal speed at that height, v0x. (e) Use the x-component of the answer to part (c) to eliminate from the answer to part (d), giving the height ymax in terms of g, h, and the launch angle . (f) Would your answers be the same if the waterslide were not frictionless? Explain. Figure P5.46arrow_forward
- Repeat the preceding problem, but including a drag force due to air of fdrag=bv .arrow_forwardReview. The mass of a car is 1 500 kg. The shape of the cars body is such that its aerodynamic drag coefficient is D = 0.330 and its frontal area is 2.50 m2. Assuming the drag force is proportional to 2 and ignoring other sources of friction, calculate the power required to maintain a speed of 100 km/h as the car climbs a long hill sloping at 3.20.arrow_forwardIn the dangerous sport of bungee jumping, a daring student jumps from a hot air balloon with a specially designed elastic cord attached to his waist. The unstretched length of the cord is 25.0 m, the student weighs 7.00 102 N, and the balloon is 36.0 m above the surface of a river below. Calculate the required force constant of the cord if the student is to stop safely 4.00 m above the river.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
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
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
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
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
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
Conservative and Non Conservative Forces; Author: AK LECTURES;https://www.youtube.com/watch?v=vFVCluvSrFc;License: Standard YouTube License, CC-BY