Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 4, Problem 24P
A ball swings counterclockwise in a vertical circle at the end of a rope 1.50 m long. When the ball is 36.9° past the lowest point on its way up, its total acceleration is
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
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?
An 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 these
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 4 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 4.1 - Consider the following controls in an automobile...Ch. 4.3 - (i) As a projectile thrown at an upward angle...Ch. 4.3 - Rank the launch angles for the five paths in...Ch. 4.4 - A particle moves in a circular path of radius r...Ch. 4.5 - A particle moves along a path, and its speed...Ch. 4 - Suppose the position vector for a particle is...Ch. 4 - The coordinates of an object moving in the xy...Ch. 4 - The vector position of a particle varies in time...Ch. 4 - It is not possible to see very small objects, such...Ch. 4 - Review. A snowmobile is originally at the point...
Ch. 4 - In a local bar, a customer slides an empty beer...Ch. 4 - Mayan kings and many school sports teams are named...Ch. 4 - A projectile is fired in such a way that its...Ch. 4 - The speed of a projectile when it reaches its...Ch. 4 - Prob. 10PCh. 4 - A firefighter, a distance d from a burning...Ch. 4 - A basketball star covers 2.80 m horizontally in a...Ch. 4 - A student stands at the edge of a cliff and throws...Ch. 4 - Prob. 14PCh. 4 - A home run is hit in such a way that the baseball...Ch. 4 - Prob. 16PCh. 4 - A boy stands on a diving board and tosses a stone...Ch. 4 - In Example 4.6, we found the centripetal...Ch. 4 - The astronaut orbiting the Earth in Figure P4.19...Ch. 4 - An athlete swings a ball, connected to the end of...Ch. 4 - The athlete shown in Figure P4.21 rotates a...Ch. 4 - A tire 0.500 m in radius rotates at a constant...Ch. 4 - (a) Can a particle moving with instantaneous speed...Ch. 4 - A ball swings counterclockwise in a vertical...Ch. 4 - Prob. 25PCh. 4 - The pilot of an airplane notes that the compass...Ch. 4 - You are taking flying lessons from an experienced...Ch. 4 - A car travels due east with a speed of 50.0 km/h....Ch. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - A river flows with a steady speed v. A student...Ch. 4 - You are participating in a summer internship with...Ch. 4 - A farm truck moves due east with a constant...Ch. 4 - A ball on the end of a string is whirled around in...Ch. 4 - Prob. 35APCh. 4 - A particle starts from the origin with velocity...Ch. 4 - Lisa in her Lamborghini accelerates at...Ch. 4 - A boy throws a stone horizontally from the top of...Ch. 4 - Why is the following situation impossible? Albert...Ch. 4 - As some molten metal splashes, one droplet flies...Ch. 4 - Prob. 41APCh. 4 - A pendulum with a cord of length r = 1.00 m swings...Ch. 4 - A spring cannon is located at the edge of a table...Ch. 4 - A projectile is launched from the point (x = 0, y...Ch. 4 - A fisherman sets out upstream on a river. His...Ch. 4 - An outfielder throws a baseball to his catcher in...Ch. 4 - Prob. 47APCh. 4 - You are on the Pirates of the Caribbean attraction...Ch. 4 - A skier leaves the ramp of a ski jump with a...Ch. 4 - A projectile is fired up an incline (incline angle...Ch. 4 - Two swimmers, Chris and Sarah, start together at...Ch. 4 - In the What If? section of Example 4.5, it was...Ch. 4 - A fireworks rocket explodes at height h, the peak...
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 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 small object with mass 0.200 kg moves with constant speed in a vertical circle of radius 0.500 m. It takes the object 0.100 s to complete one revolution. As the object passes through the lowest point of its motion, what is the magnitude of the acceleration of the object?arrow_forwardA ball swings counterclockwise in a vertical circle at the end of a rope 1.50 m long. When the ball is 36.9° past the lowest point on its way up, its resultant acceleration is a = (-22.5i + 20.2j) m/s2 , where i is the unit vector along the horizontal direction (you can treat it as pointing to the right), and j is the unit vector along the vertical direction (you can treat it as pointing upward). For that instant, (i) determine the magnitude of its centripetal acceleration in m/s2 (ii) determine the speed of the ball in in m/s (iii) determine the velocity of the ball in m/s, i and j.arrow_forward
- A woman rides a carnival Ferris wheel at radius 22 m, completing 4.1 turns about its horizontal axis every minute. What are (a) the period of the motion, and the magnitude of her centripetal acceleration at (b) the highest point and (c) the lowest point?arrow_forwardA car drives around a circular track of diameter 156 m at a constant speed of 33.0 m/s. During the time it takes the car to travel 102 degrees around, what is the magnitude of the car s average acceleration? NOT ALLOWED TO USE CENTRIPITAL MOTION EQUATION, must be average acceleration. 13.96 m/s^2 6.98 m/s^2 12.19 m/s^2 0 m/s^2arrow_forwardA skater is gliding along the ice at 2.2 m/s, when she undergoes an acceleration of magnitude 1.2 m/s2 for 3.0 s. At the end of that time she is moving at 5.8 m/s. (a) What must be the angle between the acceleration vector and the initial velocity vector?arrow_forward
- The Ferris wheel in the figure, which rotates counterclockwise, is just starting up. At a given instant, a passenger on the rim of the wheel and passing through the lowest point of his circular motion is moving at 3.00 m/sm/s and is gaining speed at a rate of 0.500 m/s2m/s2. 1.Find the magnitude of the passenger's acceleration at this instant in m/s^2 2.Find the direction of the passenger's acceleration at this instant. θ=___∘ to the right of verticalarrow_forwardA pursue at radius 2.00 m and a wallet at radius 3.00 m travel in uniform circular motion on the floor of a merry-go-round as the ride turns. They are on the same radial line. At one instant, the acceleration of the pursue is (2.00 m/s^2)i + (4.00 m/s^2)j. At the instant and in unit-vector notation, what is the acceleration of the wallet?arrow_forwardA cat rides a merry-go-round turning with uniform circular motion. At time t1 = 2.20 s, the cat's velocity is (3.80 m/s) i^ + (3.40 m/s) j^, measured on a horizontal xy coordinate system. At t2 = 5.10 s, its velocity is (-3.80 m/s) i^ + (-3.40) j^. What are (a) the magnitude of the cat's centripetal acceleration and (b) the magnitude of the cat's average acceleration during the time interval t2 – t1, which is less than a period of the motion? I just need (b) solved. It's not 4.45.arrow_forward
- A cat rides a merry-go-round turning with uniform circular motion. At time t1 = 2.20 s, the cat's velocity is (3.80 m/s) i^ + (3.40 m/s) j^, measured on a horizontal xy coordinate system. At t2 = 5.10 s, its velocity is (-3.80 m/s) i^ + (-3.40) j^. What are (a) the magnitude of the cat's centripetal acceleration and (b) the magnitude of the cat's average acceleration during the time interval t2 – t1, which is less than a period of the motion?arrow_forwardIf a particle moving in a circular path of radius 8.1 m has a velocity function v =3.5t2(units: m/s), what is the magnitude of its total acceleration at t = 2.1s?arrow_forwardA cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal. Express the initial velocity as a linear combination of its unit vector components. ( m/s) + ( m/s) At the maximum height, the speed of the cannon ball is v = ? m/s and the magnitude of its acceleration is a = ? m/s2. The time needed to reach maximum height is t = ? s. The maximum height reached by the cannon ball is H = ? m.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 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
Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY