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 3, Problem 57P
You’re designing a “cloverleaf” highway interchange. Vehicles will exit the highway and slow to a constant 70 km/h before negotiating a circular turn. If a vehicle’s acceleration is not to exceed 0.40g (i.e., 40% of Earth’s gravitational acceleration), then what’s the minimum radius for the turn? Assume the road is flat, not banked (more on this in Chapter 5).
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
In a vertical dive, a peregrine falcon can accelerate at 0.6 times the free-fall acceleration ? (that is, at 0.6? ) in reaching a speed of about 120 m/s. If a falcon pulls out of a dive into a circular arc at this speed and can sustain a radial acceleration of 0.6?, what is the radius ? of the turn?
A car is traveling on a horizontal flat curve with a radius of 96 m. If the static coefficient of friction is 0.7, what is the maximum speed in m/s2 at which the car can safely turn along the curve?
(The complete question is in the picture)
While being chased, Percy Jackson spotted the Poseidon’s pearltraversing around the roulette wheel in circular trajectory. The acceleration of the pearl ispurely perpendicular to its trajectory, and has a value of 1.25 [m/s2]. If the diameter of thecircular path is 40.0 [cm], what is the magnitude of the velocity of the pearl?A. 0.500 [m/s]B. 0.707 [m/s]C. 5.00 [m/s]D. 7.07 [m/s]
Chapter 3 Solutions
Essential University Physics
Ch. 3.1 - Which vector describes a displacement of 10 units...Ch. 3.2 - An object is accelerating downward. Which, if any,...Ch. 3.3 - An airplane is making a 500-km trip directly north...Ch. 3.4 - An object is moving initially in the +x-direction....Ch. 3.5 - Two projectiles are launched simultaneously from...Ch. 3.6 - An object moves in a horizontal plane with...Ch. 3 - Under what conditions is the magnitude of the...Ch. 3 - Can two vectors of equal magnitude sum to zero?...Ch. 3 - Can an object have a southward acceleration while...Ch. 3 - Youre a passenger in a car rounding a curve. The...
Ch. 3 - In what sense is Equation 3.8 really two (or...Ch. 3 - Is a projectiles speed constant throughout its...Ch. 3 - Is there any point on a projectiles trajectory...Ch. 3 - How is it possible for an object to be moving in...Ch. 3 - Youre in a bus moving with constant velocity on a...Ch. 3 - Which of the following are legitimate mathematical...Ch. 3 - You walk 1.57 km north, then 0.846 km cast. Find...Ch. 3 - An ion in a mass spectrometer follows a...Ch. 3 - Prob. 13ECh. 3 - Vector A has magnitude 3.0 m and points to the...Ch. 3 - Use unit vectors to express a displacement of 120...Ch. 3 - Find the magnitude of the vector 34 + 13 m and...Ch. 3 - (a) Whats the magnitude of + ? (b) What angle...Ch. 3 - Youre leading an international effort to save...Ch. 3 - Prob. 19ECh. 3 - A car drives north at 40 mi/h for 10 min, then...Ch. 3 - An objects velocity is v = ct3 + d, where t is...Ch. 3 - A car, initially going eastward, rounds a 90 curve...Ch. 3 - What are (a) the average velocity and (b) the...Ch. 3 - An object is moving in the x-direction at 1.3 m/s...Ch. 3 - Prob. 26ECh. 3 - You wish to row straight across a 63-m-wide river....Ch. 3 - A plane with airspeed 370 km/h flies...Ch. 3 - A flock of geese is attempting to migrate due...Ch. 3 - The position of an object as a function of time is...Ch. 3 - Youre sailboarding at 6.5 m/s when a wind gust...Ch. 3 - You toss an apple horizontally at 8.7 m/s from a...Ch. 3 - A carpenter tosses a shingle horizontally off an...Ch. 3 - An arrow fired horizontally at 41 m/s travels 23 m...Ch. 3 - Droplets in an ink-jet printer are ejected...Ch. 3 - Protons drop 1.2 m over the 1.7-km length of a...Ch. 3 - If you can hit a golf ball 180 m on Earth, how far...Ch. 3 - Chinas high-speed rail network calls for a minimum...Ch. 3 - The minute hand of a clock is 7.50 cm long. Find...Ch. 3 - How fast would a car have to round a 75-m-radius...Ch. 3 - Determine the acceleration of the Moon, which...Ch. 3 - Global Positioning System (GPS) satellites circle...Ch. 3 - Prob. 43ECh. 3 - Prob. 44ECh. 3 - Prob. 45ECh. 3 - Prob. 46ECh. 3 - Prob. 47ECh. 3 - Prob. 48ECh. 3 - Prob. 49ECh. 3 - Prob. 50ECh. 3 - Prob. 51ECh. 3 - Vector has magnitude 1.0 m and points 35°...Ch. 3 - Let A = 15 40 and B = 31 + 18k. Find C such that...Ch. 3 - You’re a pilot beginning a 1280-km flight to a...Ch. 3 - A particles position is r = (ct2 2dt3) + (2ct2 ...Ch. 3 - Prob. 56PCh. 3 - Youre designing a cloverleaf highway interchange....Ch. 3 - An object undergoes acceleration 2.3 + 3.6 m/s2...Ch. 3 - The New York Wheel is the worlds largest Ferris...Ch. 3 - A ferryboat sails between towns directly opposite...Ch. 3 - The sum of two vectors, A + B, is perpendicular to...Ch. 3 - A delivery drone approaches a customer’s porch,...Ch. 3 - An object is initially moving in the .x-direction...Ch. 3 - A particle leaves the origin with its initial...Ch. 3 - A kid fires a squirt gun horizontally from 1.6 m...Ch. 3 - A projectile has horizontal range R on level...Ch. 3 - You throw a baseball at a 45 angle to the...Ch. 3 - In a chase scene, a movie stuntman runs...Ch. 3 - Derive a general formula for the horizontal...Ch. 3 - Consider two projectiles launched on level ground...Ch. 3 - You toss a protein bar to your hiking companion...Ch. 3 - The table below lists position versus time for an...Ch. 3 - A projectile launched at angle to the horizontal...Ch. 3 - As an expert witness, youre testifying in a case...Ch. 3 - Show that, for a given initial speed, the...Ch. 3 - A basketball player is 15 ft horizontally front...Ch. 3 - A projectile is launched from the edge of a table,...Ch. 3 - Consider the two projectiles in GOT IT? 3.5....Ch. 3 - In the 2015 film The Martian, astronauts ride the...Ch. 3 - Your car can sustain an acceleration of 0.825g...Ch. 3 - Your alpine rescue team is using a slingshot to...Ch. 3 - If you can throw a stone straight up to height h....Ch. 3 - In a conversion from military to peacetime use, a...Ch. 3 - A soccer player can kick the ball 28 m on level...Ch. 3 - A diver leaves a 3-m board on a trajectory that...Ch. 3 - Prob. 87PCh. 3 - You're a consulting engineer specializing in...Ch. 3 - Prob. 89PCh. 3 - Your medieval history class is constructing a...Ch. 3 - Generalize Problem 84 to find an expression for...Ch. 3 - (a) Show that the position of a particle on a...Ch. 3 - Prob. 93PCh. 3 -
After launch, a projectile lands.a horizontal...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...
Additional Science Textbook Solutions
Find more solutions based on key concepts
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective (8th Edition)
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
A particle accelerator sends highvelocity charged particles down an evacuated pipe. Explain how a coil of wire ...
College Physics
Youve been named captain of NASAs first interstellar mission since the Voyager robotic spacecraft. You board yo...
Essential University Physics: Volume 2 (3rd Edition)
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
- Figure P3.31 represents the total acceleration of a particle moving clockwise in a circle of radius 2.50 m at a certain instant of time. For that instant, find (a) the radial acceleration of the particle, (b) the speed of the particle, and (c) its tangential acceleration.arrow_forwardA single bead can slide with negligible friction on a stiff wire that has been bent into a circular loop of radius 15.0 cm as shown in Figure P5.59. The circle is always in a vertical plane and rotates steadily about its vertical diameter with a period of 0.450 s. The position of the bead is described by the angle θ that the radial line, from the center of the loop to the bead, makes with the vertical. (a) At what angle up from the bottom of the circle can the bead stay motionless relative to the turning circle? (b) What If ? Repeat the problem, this time taking the period of the circle’s rotation as 0.850 s. (c) Describe how the solution to part (b) is different from the solution to part (a). (d) For any period or loop size, is there always an angle at which the bead can stand still relative to the loop? (e) Are there ever more than two angles? Arnold Arons suggested the idea for this problem. Figure P5.59arrow_forwardWhich of the following is impossible for a car moving in a circular path? Assume that the car is never at rest. (a) The car has tangential acceleration but no centripetal acceleration. (b) The car has centripetal acceleration but no tangential acceleration. (c) The car has both centripetal acceleration and tangential acceleration.arrow_forward
- An engineer is creating a new amusement park where the rides drop straight down and then curve onto their backs and slide horizonally. The ride is called Astronaut slide because riders experience 8 g's of acceleration while sliding onto their backs at the bootom of the 200 meter freefall drop. Assuming the speed remains constant going through the turn, what radius R must the curve at the bottom have? a) 100 m b) 37 m c) 50 m d) 5 km e) 150 marrow_forwardThe aorta is a major artery, rising upward from the left ventricle of the heart and curving down to carry blood to the abdomen and lower half of the body. The curved artery can be approximated as a semicircular arch whose diameter is 5.3 cm. If blood flows through the aortic arch at a speed of 0.40 m/s, what is the magnitude (in m/s2) of the blood's centripetal acceleration?arrow_forwardA military jet is flying at 268 m/s in a tight circular turn. If the military jet reaches a centripetal acceleration of 10.0 times the free-fall acceleration, what must the radius of its turn be?arrow_forward
- A runner taking part in the 200 m dash must run around the end of a track that has a circular arc with a radius of curvature of 35 m. If he completes the 200 m dash in 24.2 s and runs at constant speed throughout the race, what is the magnitude of his centripetal acceleration (in m/s2) as he runs the curved portion of the track?arrow_forwardIn a vertical dive, a peregrine falcon can accelerate at 0.6 times the free-fall acceleration g (that is, at 0.6g) in reaching a speed of about 105 m/s. If a falcon pulls out of a dive into a circular arc at this speed and can sustain a radial acceleration of 0.6g, what is the minimum radius R of the turn?arrow_forwardAn automobile with tires that have a radius of 0.260 m travels 64000 km before wearing them out. How many revolutions do the tires make, neglecting any backing up and any change in radius due to wear?arrow_forward
- A small object moves at constant speed in a horizontal circle of radius 0.425 m. If the object makes two complete revolutions in one second, what is the magnitude of the acceleration of the object?arrow_forwardA bicycle, starting from rest, accelerates at 2.07m/s2 on a circular track with a 195 m in diameter. What is the elapsed time, in seconds, at which the centripetal acceleration of the bicycle has the same magnitude as its tangential acceleration?arrow_forwardFigure P4.31 represents the total acceleration of a particle moving clockwise in a circle of radius 2.50 m at a certain instant of time. At this instant, find (a) the radial acceleration, (b) the speed of particle, and (c) its tangential accelerationarrow_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
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
Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY