Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2, Problem 17PQ
The position of a particle attached to a vertical spring is given by →y=(y0cosωt)ˆj. The y axis points upward, y0 = 14.5 cm. and ω = 18.85 rad/s. Find the position of the particle at a. t = 0 and b. t = 9.0 s.
Give your answers in centimeters.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Three carts of masses m₁ = 4.50 kg, m₂ = 10.50 kg, and m3 = 3.00 kg move on a frictionless, horizontal track with speeds of V1
v1
13
m
12
mq
m3
(a) Find the final velocity of the train of three carts.
magnitude
direction
m/s
|---Select--- ☑
(b) Does your answer require that all the carts collide and stick together at the same moment?
○ Yes
Ο Νο
=
6.00 m/s to the right, v₂ = 3.00 m/s to the right, and V3
=
6.00 m/s to the left, as shown below. Velcro couplers make the carts stick together after colliding.
A girl launches a toy rocket from the ground. The engine experiences an average thrust of 5.26 N. The mass of the engine plus fuel before liftoff is 25.4 g, which includes fuel mass of 12.7 g. The engine fires for a total of 1.90 s. (Assume all the fuel is consumed.)
(a) Calculate the average exhaust speed of the engine (in m/s).
m/s
(b) This engine is positioned in a rocket body of mass 70.0 g. What is the magnitude of the final velocity of the rocket (in m/s) if it were to be fired from rest in outer space with the same amount of fuel? Assume the fuel burns at a constant rate.
m/s
Two objects of masses m₁
0.48 kg and m₂ = 0.86 kg are placed on a horizontal frictionless surface and a compressed spring of force constant k 260 N/m is placed between them as in figure (a). Neglect the mass of the spring. The spring is not attached to either object and is
compressed a distance of 9.4 cm. If the objects are released from rest, find the final velocity of each object as shown in figure (b). (Let the positive direction be to the right. Indicate the direction with the sign of your answer.)
m/s
V1
V2=
m1
m/s
k
m2
a
す。
k
m2
m1
b
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
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
- Sand from a stationary hopper falls on a moving conveyor belt at the rate of 4.90 kg/s as shown in the figure below. The conveyor belt is supported by frictionless rollers and moves at a constant speed of v = 0.710 m/s under the action of a constant horizontal external force F by the motor that drives the belt. Fext i (a) Find the sand's rate of change of momentum in the horizontal direction. (b) Find the force of friction exerted by the belt on the sand. (c) Find the external force ext' (d) Find the work done by F in 1 s. ext (e) Find the kinetic energy acquired by the falling sand each second due to the change in its horizontal motion. ext suppliedarrow_forwardAn unstable atomic nucleus of mass 1.84 × 10-26 kg initially at rest disintegrates into three particles. One of the particles, of mass 5.14 × 10-27 kg, moves in the y direction with a speed of 6.00 × 106 m/s. Another particle, of mass 8.46 × 10-27 kg, moves in the x direction with a speed of 4.00 x 106 m/s. (a) Find the velocity of the third particle. |Î + i) m/s (b) Find the total kinetic energy increase in the process. ]arrow_forwardTwo gliders are set in motion on an air track. A light spring of force constant k is attached to the back end of the second glider. As shown in the figure below, the first glider, of mass m₁, moves to the right with a speed V₁, and the second glider, of mass m₂, moves more slowly to the right with a speed, V2. VI m2 i When m₁ collides with the spring attached to m2, the spring compresses by a distance xmax, and the gliders then move apart again. In terms of V1, V2, m₁, m2, and k, find the following. (Use any variable or symbol stated above as necessary.) (a) speed v at maximum compression V = (b) the maximum compression Xmax Xmax = (c) the speed of each glider after m₁ V1f = has lost contact with the spring (Use any variable or symbol stated above as necessary.) V2farrow_forward
- As shown below, a bullet of mass m and speed v is fired at an initially stationary pendulum bob. The bullet goes through the bob, and exits with a speed of pendulum bob will barely swing through a complete vertical circle? (Use the following as necessary: m, L, g, and M for the mass of the bob.) 2 The pendulum bob is attached to a rigid pole of length L and negligible mass. What is the minimum value of v such that the V = L m M v/2 iarrow_forwardAs shown in the figure, a billiard ball with mass m₂ is initially at rest on a horizontal, frictionless table. A second billiard ball with mass m₁ moving with a speed 2.00 m/s, collides with m2. Assume m₁ moves initially along the +x-axis. After the collision, m₁ moves with speed 1.00 m/s at an angle of 0 = 48.0° to the positive x-axis. (Assume m₁ = 0.200 kg and m₂ = 0.300 kg.) m₁ Before the collision Vli After the collision Mi sin 9 Jif "If cos Vof COS U2f sin o Mo b (a) Determine the speed (in m/s) of the 0.300 kg ball after the collision. m/s (b) Find the fraction of kinetic energy transferred away or transformed to other forms of energy in the collision. |AKI K;arrow_forwardA block with mass m₁ = 0.600 kg is released from rest on a frictionless track at a distance h₁ = 2.55 m above the top of a table. It then collides elastically with an object having mass m₂ = 1.20 kg that is initially at rest on the table, as shown in the figure below. h₁ իջ m m2 (a) Determine the velocities of the two objects just after the collision. (Assume the positive direction is to the right. Indicate the direction with the signs of your answers.) V1= m/s m/s (b) How high up the track does the 0.600-kg object travel back after the collision? m (c) How far away from the bottom of the table does the 1.20-kg object land, given that the height of the table is h₂ = 1.75 m? m (d) How far away from the bottom of the table does the 0.600-kg object eventually land? marrow_forward
- An estimated force-time curve for a baseball struck by a bat is shown in the figure below. Let F F(N) Fmax TÀ 0 t (ms) 0 la (a) the magnitude of the impulse delivered to the ball N.S (b) the average force exerted on the ball KN = 17,000 N, t = max a 1.5 ms, and t₁ = 2 ms. From this curve, determine the following.arrow_forwardThere are many well-documented cases of people surviving falls from heights greater than 20.0 m. In one such case, a 55.0 kg woman survived a fall from a 10th floor balcony, 29.0 m above the ground, onto the garden below, where the soil had been turned in preparation for planting. Because of the "give" in the soil, which the woman compressed a distance of 15.0 cm upon impact, she survived the fall and was only briefly hospitalized. (a) Ignoring air resistance, what was her impact speed with the ground (in m/s)? m/s (b) What was the magnitude of her deceleration during the impact in terms of g? g (c) Assuming a constant acceleration, what was the time interval (in s) during which the soil brought her to a stop? S (d) What was the magnitude of the impulse (in N⚫ s) felt by the woman during impact? N⚫s (e) What was the magnitude of the average force (in N) felt by the woman during impact? Narrow_forwardExample Two charges, one with +10 μC of charge, and another with - 7.0 μC of charge are placed in line with each other and held at a fixed distance of 0.45 m. Where can you put a 3rd charge of +5 μC, so that the net force on the 3rd charge is zero?arrow_forward
- * Coulomb's Law Example Three charges are positioned as seen below. Charge 1 is +2.0 μC and charge 2 is +8.0μC, and charge 3 is - 6.0MC. What is the magnitude and the direction of the force on charge 2 due to charges 1 and 3? 93 kq92 F == 2 r13 = 0.090m 91 r12 = 0.12m 92 Coulomb's Constant: k = 8.99x10+9 Nm²/C² ✓arrow_forwardMake sure to draw a Free Body Diagram as wellarrow_forwardMake sure to draw a Free Body Diagram as wellarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY