Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 2, Problem 19PQ
(a)
To determine
The displacement of the particle during the time interval from
(b)
To determine
The distance travelled by the particle during the time interval and the way by which this distance is larger than the magnitude of the displacement.
(c)
To determine
Examples of systems that may be modelled by spring.
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A student sets an object attached to a spring into oscillatory motion and uses a motion detector to record the velocity of the object as a function of time. A portion of the recorded data is shown in the figure below.The acceleration of the object at time t = 0.7 s is most nearly equal to which of the following?
a
The slope of the line connecting the origin and the point where the graph crosses the 0.7 s grid line
b
The value of the graph where it crosses the 0.7 s grid line
c
The area under the curve between where the graph crosses the time axis near 0.63 s and time 0.7 s
d
The slope of the tangent to a best-fit sinusoidal curve at 0.7 s
This is a diagram showing the position-time graph for a mass that is oscillating vertically on the end of a spring. The mass is shown superimposed on the graph at three different instants during a single cycle.
a. What is the direction of the net force at position 1? What direction is the acceleration?
b. What is the net force at position 2? What is the acceleration?
c. What is the direction of the net force at position 3? What direction is the acceleration?
The photo shows a diagram of a position-time graph for a mass that is oscillating vertically on the end of a spring. The mass is shown superimposed on the graph at three different instants during a single cycle.
a. What is the net force and acceleration at position 2?
b. What are the directions of the net force and acceleration at position 3?
c. At which position, 1, 2, or 3, does the mass have the greatest velocity, and at which position does the mass have the greatest acceleration?
Chapter 2 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 2.2 - In each of the five motion diagrams shown in...Ch. 2.3 - For each of the following, give the vector...Ch. 2.5 - Figure 2.11 shows the motion of various objects:...Ch. 2.6 - The top marathon runners complete the race in...Ch. 2.6 - In our everyday experience, we sometimes use the...Ch. 2.6 - Prob. 2.6CECh. 2.8 - Kinematics graphs are great for showing how a...Ch. 2 - Is the Moons motion around the Earth...Ch. 2 - An animals tracks are frozen in the snow (Fig....Ch. 2 - Problems 3 and 12 are paired. G A particle moves...
Ch. 2 - Prob. 4PQCh. 2 - For each of the following velocity vectors, give...Ch. 2 - In the traditional Hansel and Gretel fable, the...Ch. 2 - After a long and grueling race, two cadets, A and...Ch. 2 - Prob. 8PQCh. 2 - Elisha Graves Otis invented the elevator brake in...Ch. 2 - As shown in Figure 2.9, Whipple chose a coordinate...Ch. 2 - Prob. 11PQCh. 2 - Prob. 12PQCh. 2 - A race car travels 825 km around a circular sprint...Ch. 2 - Prob. 14PQCh. 2 - A train leaving Albuquerque travels 293 miles, due...Ch. 2 - Prob. 16PQCh. 2 - The position of a particle attached to a vertical...Ch. 2 - Prob. 18PQCh. 2 - Prob. 19PQCh. 2 - Prob. 20PQCh. 2 - During a relay race, you run the first leg of the...Ch. 2 - Prob. 22PQCh. 2 - Prob. 23PQCh. 2 - Prob. 24PQCh. 2 - During a thunderstorm, a frightened child is...Ch. 2 - Scientists and engineers must interpret problems...Ch. 2 - Prob. 27PQCh. 2 - Prob. 28PQCh. 2 - A In attempting to break one of his many swimming...Ch. 2 - A The instantaneous speed of a particle moving...Ch. 2 - A particles velocity is given by vy(t)=atj, where...Ch. 2 - Prob. 32PQCh. 2 - Figure P2.33 shows the y-position (in blue) of a...Ch. 2 - A particles position is given by z(t) = (7.50...Ch. 2 - Prob. 35PQCh. 2 - Two sprinters start a race along a straight track...Ch. 2 - An electronic line judge camera captures the...Ch. 2 - During a bungee jump, a student (i) initially...Ch. 2 - Prob. 39PQCh. 2 - Prob. 40PQCh. 2 - Prob. 41PQCh. 2 - Prob. 42PQCh. 2 - Prob. 43PQCh. 2 - Prob. 44PQCh. 2 - A computer system, using a preset coordinate...Ch. 2 - In Example 2.6, we considered a simple model for a...Ch. 2 - A uniformly accelerating rocket is found to have a...Ch. 2 - Prob. 48PQCh. 2 - A driver uniformly accelerates his car such that...Ch. 2 - Car A and car B travel in the same direction along...Ch. 2 - Accelerating uniformly to overtake a slow-moving...Ch. 2 - An object that moves in one dimension has the...Ch. 2 - A particle moves along the positive x axis with a...Ch. 2 - Case Study Crall and Whipple attached a fan to a...Ch. 2 - Prob. 55PQCh. 2 - The engineer of an intercity train observes a rock...Ch. 2 - A pebble is thrown downward from a 44.0-m-high...Ch. 2 - In a cartoon program, Peter tosses his baby,...Ch. 2 - Tadeh launches a model rocket straight up from his...Ch. 2 - Prob. 60PQCh. 2 - In the movie Star Wars: The Empire Strikes Back,...Ch. 2 - A worker tosses bricks one by one to a coworker on...Ch. 2 - A rock is thrown straight up into the air with an...Ch. 2 - Prob. 64PQCh. 2 - A sounding rocket, launched vertically upward with...Ch. 2 - Prob. 66PQCh. 2 - While strolling downtown on a Saturday Afternoon,...Ch. 2 - Prob. 68PQCh. 2 - A trooper is moving due south along the freeway at...Ch. 2 - A dancer moves in one dimension back and forth...Ch. 2 - The electrical impulse initiated by the nerves in...Ch. 2 - Two cars leave Seattle at the same time en route...Ch. 2 - An object begins to move along the y axis and its...Ch. 2 - Prob. 74PQCh. 2 - Prob. 75PQCh. 2 - Two carts are set in motion at t = 0 on a...Ch. 2 - Prob. 77PQCh. 2 - Cars A and B each move to the right with constant...Ch. 2 - Prob. 79PQCh. 2 - Prob. 80PQCh. 2 - Prob. 82PQCh. 2 - Prob. 83PQCh. 2 - A Write expressions for the average acceleration...Ch. 2 - Prob. 85PQCh. 2 - Prob. 86PQCh. 2 - In 1898, the world land speed record was set by...Ch. 2 - In Example 2.12, two circus performers rehearse a...Ch. 2 - Prob. 89PQ
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