Essential University Physics Plus Mastering Physics with eText -- Access Card Package (3rd Edition)
3rd Edition
ISBN: 9780321975973
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3, Problem 74P
The portion of a projectile’s parabolic trajectory in the vicinity of the peak can be approximated as a circle. If the projectile’s speed at the peak of the trajectory is v, formulate an argument to show that the curvature radius of the circle that approximates the parabola is r = v2/g.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Given an airplane in flight at a cruising speed of 250 m/s, what is the minimum turning radius (in km) that will go unnoticed by the passengers?
A jet is flying at 120 m/s along a straight line and makes a turn along a circular path level with the ground, remaining at a constant speed. What must be true about the radius R of the circular path if the turn produces a centripetal acceleration of less than 2g on the pilot and jet?
An airplane has been directed to fly in a clockwise circle, as seen from above, at constant speed until another plane has landed. When the plane is going north, is it accelerating? If so, in what direction does the acceleration vector point? If not, why not?
Chapter 3 Solutions
Essential University Physics Plus Mastering Physics with eText -- Access Card Package (3rd Edition)
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 - Repeat Question 2 for three vectors. 2. Can two...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 would probably reject as unscientific any...Ch. 3 - You walk west 220 m, then north 150 m. What are...Ch. 3 - An ion in a mass spectrometer follows a...Ch. 3 - A migrating whale follows the west coast of Mexico...Ch. 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 - An object is moving at 18 m/s at 220...Ch. 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 ice skater is gliding along at 2.4 m/s, when...Ch. 3 - An object is moving in the x-direction at 1.3 m/s...Ch. 3 - Youre a pilot beginning a 1500-km flight. Your...Ch. 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 - Estimate the acceleration of the Moon, which...Ch. 3 - Global Positioning System (GPS) satellites circle...Ch. 3 - Two vectors A and B have the same magnitude A and...Ch. 3 - Prob. 46PCh. 3 - Let A = 15 40 and B = 31 + 18k. Find C such that...Ch. 3 - A biologist looking through a microscope sees a...Ch. 3 - A particles position is r = (ct2 2dt3) + (2ct2 ...Ch. 3 - For the particle in Problem 49, is there any time...Ch. 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 - Write an expression for a unit vector at 45...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 - Standing on the ground 3.0 m from a building, you...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 - Two projectiles are launched simultaneously from...Ch. 3 - Consider the two projectiles in GOT IT? 3.5....Ch. 3 - The portion of a projectiles parabolic trajectory...Ch. 3 - A jet is diving vertically downward at 1200 km/h....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. 81PCh. 3 - You're a consulting engineer specializing in...Ch. 3 - Differentiate the trajectory Equation 3.14 to find...Ch. 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 - In dealing with nonuniform circular motion, as...Ch. 3 - Repeat Problem 87, now generalizing to the case...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
A 512-Hz tuning fork is struck and placed next to a tube with a movable piston, creating a tube with a variable...
University Physics Volume 1
What is the Kuiper belt?
Conceptual Integrated Science
Write each number in scientific notation.
3. 2650
Applied Physics (11th Edition)
32. A blacksmith cools a 1.20 kg chunk of iron, initially at a temperature of 650.0°C, by trickling 15.0°C wate...
College Physics (10th Edition)
29.36 A metal ring 4.50 cm in diameter is placed between the north and south poles of large magnets with the pl...
University Physics (14th Edition)
22. A student has 65-cm-long arms. What is the minimum angular velocity (in rpm) for swinging a bucket of water...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th 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
- What is the direction of the acceleration vector of a person on the spinning Earth if the person is (a) at the equator? (b) at some other latitude? (c) at the poles?arrow_forwardA 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_forwardShow that the trajectory of a projectile thrown upward at an angle θ with the horizontal and with an initial speed v0 is parabolic.arrow_forward
- An experimental jet rocket travels around Earth along its equator just above its surface. At what speed must the jet travel if the magnitude of its acceleration is g?arrow_forwardOlympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a radius of 312 km. If you are standing on the summit, with what initial velocity (in m/s) would you have to fire a projectile from a cannon horizontally to clear the volcano and land on the surface of Mars? Note that Mars has an acceleration of gravity of 3.7 m/s2. (Assume the volcano is radially symmetric and the summit is at its center. Enter the magnitude.)arrow_forward(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]arrow_forward
- An ice skater is executing a figure-eight, consisting of two identically shaped, tangent circular paths. Throughout the first loop, she increases her speed uniformly, and during the second loop she moves at a constant speed. When the ice skater travels during the first loop, the acceleration vector is not directed towards the center, whereas when the ice skater travels in the second loop, the acceleration vector is directed toward the center. Is this true or false?arrow_forwardA projectile is fired from point A with an initial velocity v0. (a) Show that the radius of curvature of the trajectory of the projectile reaches its minimum value at the highest point B of the trajectory. (b) Denoting by 0 the angle formed by the trajectory and the horizontal at a given point C , show that the radius of curvature of the trajectory at C is p =pmin/cos3 0.arrow_forwardAn airplane is cruising at a speed of 257.2 m/s along a straight line andmakes a turn along a circular path level with the ground. What should be the radius (in kilometers) of the circular trajectory be to produce a centripetal acceleration of 3g, where g is the acceleration due to gravity, on the pilot and the plane? (A) 1.73 km (B) 2.58 km (C) 1.99 km (D) 2.25 km (E) None of thesearrow_forward
- A particle is moving along a curved path. At a certaininstant when the slope of the path is 0.75, ax= 6 ft/s2 anday= 10 ft/s2. Compute the values of tangential (at) andnormal (an) components of the total acceleration at thisinstant and sketch how the path curves.arrow_forwardIf the speed of an object in uniform circular motion is tripled and the radial distance remains constant then the magnitude of the centripetal acceleration increases by what factor?arrow_forwardA particle moves in a circle of radius 40.0 m and the particle’s speedincreases at a rate of 0.300 m/s2. If the particle’s radial acceleration is 0.400 m/s2 at a certain instant of time, at this instant find (a) the speed of the particle (b) tangentialacceleration (c) the magnitude and direction of the total acceleration.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 LearningAn Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
An Introduction to Physical Science
Physics
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
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