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
Videos
Textbook Question
Chapter 4.5, Problem 4.5QQ
A particle moves along a path, and its speed increases with time. (i) In which of the following cases are its acceleration and velocity vectors parallel? (a) when the path is circular (h) when the path is straight (c) when the path is a parabola (d) never (ii) From the same choices, in which case are its acceleration and velocity vectors perpendicular everywhere along the path?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A particle moves along a path, and its speed increases with time. (i) In which of the following cases are its acceleration and velocity vectors parallel? (a) when the path is circular (b) when the path is straight (c) when the path is a parabola (d) never (ii) From the same choices, in which case are itsacceleration and velocity vectors perpendicular everywhere along the path?
A particle moves through 3-space in such a way that its acceleration is
a(t)= 8sin 2ri +8cos 2tj+e'k .
where t is time measured in seconds. The initial velocity of the particle is v, =
2i – 3j+k.
At time t = t , find
i)
the velocity vector of the particle.
ii)
the scalar tangential and normal components of acceleration.
A particle moves along a path, and its speed increases with time. In which case are its acceleration and velocity vectors perpendicular everywhere along the path? (a) when the path is circular (b) when the path is straight (c) when the path is a parabola (d) never
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...
Additional Science Textbook Solutions
Find more solutions based on key concepts
You have a summer job at your universitys zoology department, where youll be working with an animal behavior ex...
Essential University Physics: Volume 1 (3rd Edition)
56. Global Positioning System. Learn more about the global positioning system and its uses. Write a short repo...
The Cosmic Perspective (8th Edition)
On cold, clear nights horses will sleep under the cover of large trees. How does this help them keep warm?
University Physics Volume 2
The formula for the sum Sn of the geometric series Sn=a+ar+.....arn−1 .
Mathematical Methods in the Physical Sciences
21.35 (a) An electron is moving east in a uniform electric field of 1.50 N/C directed to the west. At point A. ...
University Physics with Modern Physics (14th Edition)
A device for training astronauts and jet fighter pilots is designed to rotate the trainee in a horizontal circl...
Physics for Scientists and Engineers with Modern 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
- If two vectors are equal, what can you say about their components? What can you say about their magnitudes? What can you say about their directions?arrow_forwardIf two vectors have the same magnitude, do their components have to be the same?arrow_forwardAt t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vi=(3.00i2.00j)m/s and is at the origin. At t = 3.00 s, the particles velocity is vf=(9.00i+7.00j)m/s. Find (a) the acceleration of the particle and (b) its coordinates at any time t.arrow_forward
- A hiker walks from (x1, y1) = (4.00 km. 3.00 km) to (x2, y2) = (3.00 km, 6.00 km), (a) What distance has the traveled? (b) The hiker desires to return to his starting point. In what direction should he go? (Give the angle with respect to due cast.) (See Sections 3.2 and 3.3.)arrow_forward3.00 m, 37P The three vectors in Fig. 3-31 have magnitudes a = b = 4.00 m, and c = 10.0 m. What are (a) the x component and (b) the y component of ā; (c) the x component and (d) the y com- ponent of b; and (e) the x com- ponent and (f) the y component of ĉ? If & = pā + qb, what are the values of (g) p and (h) q? ilw 30° a Fig. 3-31 Problem 37.arrow_forwardCalculate the magnitude and direction of the resultant of the two vectors a) 50 km E and b) 70 km 60* NE.arrow_forward
- The position r of a particle moving in an xy plane is given by ř seconds. In unit-vector notation, calculate (a) 7, (b) V , and (c) a for t = 3.00 s. (d) What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t = 3.00 s? Give your answer in the range of (-180°; 180°). (4.00r3 – 1.00t)î + (5.00 – 1.00r4)j with 7 in meters and t in (a) Number i i Units (b) Number ît i Units i (c) Number i i Units (d) Number i Unitsarrow_forwardB = -i - 4j and 47. For vectors A = -3 i – 2j, calculate (a) A + B and its magnitude and direction angle, and (b) Á - B and its magnitude and direction angle.arrow_forwardAt a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 7.50 yards, back (in the −x-direction), then 15.0 yards parallel to the y-axis (in the −y-direction). He then throws the football straight downfield 50.0 yards in a direction perpendicular to the y-axis (in the +x-direction). What is the magnitude of the displacement (in yards) of the ball?What if? The receiver that catches the football travels 65.0 additional yards at an angle of 45.0° counterclockwise from the +x-axis away from the quarterback's position and scores a touchdown. What is the magnitude of the football's total displacement (in yards) from where the quarterback took the ball to the end of the receiver's run?arrow_forward
- Question 5: The position vector of a particle moving in a circular path of radius R is given by the following expression T(t) = R[– sin(3t²)î+ cos(3t²)3] where B is a positive constant (i and j are the unit vectors corresponding to x and y axes in the two dimensional Cartesian Coordinate System, respectively). At time t = 4 secs., what is the ratio of magnitudes of the tangential acceleration and the centripetal acceleration, at where at and aț are the magnitudes of the tangential and the centripetal accelerations, respectively.arrow_forwardInitially, an object in uniform circular motion (assume clockwise motion) has a velocity vector given by v = (-3.00") î + (4.00"). If the radius of travel is 3.00 meters, determine the acceleration vector (in unit-vector notation) after 5.00 seconds have elapsed.arrow_forwardThe velocity vector of a particle is given by: V = Vje-)[sin(wt)i + cos(wt)j] where, Vo = 12.1 m/s; T = 2.5 s; w = 5.2 rad/s Calculate the magnitude of the acceleration (in m/s2) at t = 7.4 sarrow_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
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher: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
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Rotational Kinematics Physics Problems, Basic Introduction, Equations & Formulas; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=0El-DqrCTZM;License: Standard YouTube License, CC-BY