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
Videos
Textbook Question
Chapter 11, Problem 43PQ
Pendulum bob 1 has mass m1. It is displaced to height h1 and released. Pendulum bob 1 elastically collides with pendulum bob 2 of mass m2 (Fig. P11.43).
FIGURE P11.43
a. Find an expression for the maximum height h2 of pendulum bob 2.
b. If m2 = 2.5m1 and h1 = 5.46 m, what is h2?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
68. (a) Figure P9.68 shows
three points in the
operation of the bal-
listic pendulum dis-
cussed
in
Example
Figure P9.67
9.6 (and shown in Fig.
9.9b). The projectile approaches the pendulum in
Figure P9.68a. Figure P9.68b shows the situation just
after the projectile is captured in the pendulum. In
Figure P9.68c, the pendulum arm has swung upward
and come to rest at a height h above its initial posi-
tion. Prove that the ratio of the kinetic energy of the
projectile-pendulum system immediately after the
collision to the kinetic energy immediately before is
m, /(m, + m). (b) What is the ratio of the momentum
of the system immediately after the collision to the
momentum immediately before? (c) A student believes
that such a large decrease in mechanical energy must
be accompanied by at least a small decrease in momen-
tum. How would you convince this student of the truth?
My
Figure P9.68 Problens 68 and 86. (a) A metal ball
moves toward the pendulum. (b) The ball is captured
by the…
A .430 kg block is attached to a horizontal spring that is at its equilibrium length, and whose force constant is 20 N/m. The block rests on a frictionles surface. A .500 kg wad of putty is thrown horizontally at the block, hitting it with a speed of 2.30 m/s and sticking. How far does the putty-block system compress the spring?
A 7.0g bullet is fired with an initial velocity of 528 m/s into a 1.5 kg ballistic pendulum of length 0.4m. The bullet emerges from the block with a speed of 200m/s, and the pendulum swings upward.
A. What is the maximum height of the pendulum?
B. Find the angle, the pendulum makes with the vertical at the highest point?
Chapter 11 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 11.1 - Forensic Science Forensic science is the...Ch. 11.2 - Why does a coach instruct a gymnast to bend her...Ch. 11.3 - When two objects collide, the impulse exerted on...Ch. 11.3 - Prob. 11.4CECh. 11.5 - If a spacecraft is headed for the outer solar...Ch. 11.6 - The cue ball hits the eight-ball in a game of pool...Ch. 11 - When a spacecraft collides with a planet, it is...Ch. 11 - When a person feels that he is about to fall, he...Ch. 11 - A tall man walking at 1.25 m/s accidentally bumps...Ch. 11 - Prob. 4PQ
Ch. 11 - A basketball of mass m = 625 g rolls off the hoops...Ch. 11 - Prob. 6PQCh. 11 - Sven hits a baseball (m = 0.15 kg). He applies an...Ch. 11 - Prob. 8PQCh. 11 - Prob. 9PQCh. 11 - In a laboratory, a cart collides with a wall and...Ch. 11 - Prob. 11PQCh. 11 - A Show that Equation 11.4 (the impulsemomentum...Ch. 11 - A crate of mass M is initially at rest on a level,...Ch. 11 - Prob. 14PQCh. 11 - Two pucks in a laboratory are placed on an air...Ch. 11 - A truck collides with a small, empty parked car....Ch. 11 - Prob. 17PQCh. 11 - Prob. 18PQCh. 11 - A skater of mass m standing on ice throws a stone...Ch. 11 - A skater of mass 45.0 kg standing on ice throws a...Ch. 11 - Prob. 21PQCh. 11 - In a laboratory experiment, 1 a block of mass M is...Ch. 11 - Ezra (m = 25.0 kg) has a tire swing and wants to...Ch. 11 - A suspicious physics student watches a stunt...Ch. 11 - A 2.45-kg ball is shot into a 0.450-kg box that is...Ch. 11 - Prob. 26PQCh. 11 - Prob. 27PQCh. 11 - Prob. 28PQCh. 11 - A dart of mass m is fired at and sticks into a...Ch. 11 - A dart of mass m = 10.0 g is fired at and sticks...Ch. 11 - A bullet of mass m = 8.00 g is fired into and...Ch. 11 - Prob. 32PQCh. 11 - A bullet of mass m is fired into a ballistic...Ch. 11 - Prob. 34PQCh. 11 - One object (m1 = 0.200 kg) is moving to the right...Ch. 11 - Prob. 36PQCh. 11 - Prob. 37PQCh. 11 - Prob. 38PQCh. 11 - Two objects collide head-on (Fig. P11.39). The...Ch. 11 - Initially, ball 1 rests on an incline of height h,...Ch. 11 - Initially, ball 1 rests on an incline of height h,...Ch. 11 - In an attempt to produce exotic new particles, a...Ch. 11 - Pendulum bob 1 has mass m1. It is displaced to...Ch. 11 - Prob. 44PQCh. 11 - Prob. 45PQCh. 11 - Prob. 46PQCh. 11 - Prob. 47PQCh. 11 - Prob. 48PQCh. 11 - Two skateboarders, with masses m1 = 75.0 kg and m2...Ch. 11 - In a laboratory experiment, an electron with a...Ch. 11 - In Figure P11.51, a cue ball is shot toward the...Ch. 11 - A proton with an initial speed of 2.00 108 m/s in...Ch. 11 - A football player of mass 95 kg is running at a...Ch. 11 - Two bumper cars at the county fair are sliding...Ch. 11 - Two bumper cars at the county fair are sliding...Ch. 11 - Prob. 56PQCh. 11 - N A bomb explodes into three pieces A, B, and C of...Ch. 11 - Prob. 58PQCh. 11 - An object of mass m = 4.00 kg that is moving with...Ch. 11 - A wooden block of mass M is initially at rest at...Ch. 11 - Prob. 61PQCh. 11 - Prob. 62PQCh. 11 - In an experiment designed to determine the...Ch. 11 - From what might be a possible scene in the comic...Ch. 11 - Prob. 65PQCh. 11 - Two pucks in a laboratory are placed on an air...Ch. 11 - Assume the pucks in Figure P11.66 stick together...Ch. 11 - Prob. 68PQCh. 11 - Prob. 69PQCh. 11 - A ball of mass 50.0 g is dropped from a height of...Ch. 11 - Prob. 71PQCh. 11 - A pendulum consists of a wooden bob of mass M...Ch. 11 - Three runaway train cars are moving on a...Ch. 11 - Prob. 74PQCh. 11 - Rutherford fired a beam of alpha particles (helium...Ch. 11 - Prob. 76PQCh. 11 - Prob. 77PQCh. 11 - February 3, 2009, was a very snowy day along...Ch. 11 - A cart filled with sand rolls at a speed of 1.0...Ch. 11 - Prob. 80PQCh. 11 - Prob. 81PQCh. 11 - Prob. 82PQCh. 11 - Prob. 83PQCh. 11 - Prob. 84PQ
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 light, cubical container of volume a3 is initially filled with a liquid of mass density as shown in Figure P15.5la. The cube is initially supported by a light string to form a simple pendulum of length Li, measured from the center of mass of the filled container, where Li a. The liquid is allowed to flow from the bottom of the container at a constant rate (dM/dt). At any time t, the level of the liquid in the container is h and the length of the pendulum is L. (measured relative to the instantaneous center of mass) as shown in Figure P15.51b. (a) Find the period of the pendulum as a function of time. (b) What is the period of the pendulum after the liquid completely runs out of the container? Figure P15.51arrow_forwardIn a laboratory experiment, 1 a block of mass M is placed on a frictionless table at the end of a relaxed spring of spring constant k. 2 The spring is compressed a distance x0 and 3 a small ball of mass m is launched into the block as shown in Figure P11.22. The ball and block stick together and are projected off the table of height h. Find an expression for the horizontal displacement of the ballblock system from the end of the table until it hits the floor in terms of the parameters given. FIGURE P11.22arrow_forwardThere is a compressed spring between two laboratory carts of masses m1 and m2. Initially, the carts are held at rest on a horizontal track (Fig. P10.40A). The carts are released, and the cart of mass m1 has velocity v1 in the positive x direction (Fig. P10.40B). Assume rolling friction is negligible. a. What is the net external force on the two-cart spring system? b. Find an expression for the velocity of cart 2. c. Sometimes, mistakes are made in a laboratory. For example, what changes in parts (a) and (b) if the track is not level as shown in Figure P10.40C? Explain your answer.arrow_forward
- Consider an undamped linear oscillator with a natural frequency ω0 = 0.5 rad/s and the step function a = 1 m/s2. Calculate and sketch the response function for an impulse forcing function acting for a time τ = 2π/ω0. Give a physical interpretation of the results.arrow_forwardA block of mass m = 2.00 kg is attached to a spring of force constant k = 500 N/m as shown in Figure P7.15. The block is pulled to a position xi = 5.00 cm to the right of equilibrium and released from rest. Find the speed the block has as it passes through equilibrium if (a) the horizontal surface is frictionless and (b) the coefficient of friction between block and surface is k = 0.350. Figure P7.15arrow_forward15. A 1.0 kg ball is tied to the end of a 2.5 m string to form a pendulum. The pendulum is released from rest with the ropeextended horizontally. At the lowest point of the trajectory when the ball is moving horizontally, it elastically collides with a 2.0 kg block initially at rest on a horizontal frictionless surface. What is the speed of the block just after the collision? choose an answer A B C D E 2.3 m/s 4.7 m/s 3.5 m/s 3.0 m/s 7.0 m/sarrow_forward
- A 5.00 kg block is moving at v0 = 6.00 m/s along a frictionless, horizontal surface toward a spring with force constant k = 500 N/m that is attached to a wall. The spring has negligible mass. What is the maximum compression of the spring i.e. how much will the spring compress before the block rebounds?arrow_forwardA bullet with a mass ?b=13.1 g is fired into a block of wood at velocity ?b=253 m/s. The block is attached to a spring that has a spring constant ? of 205 N/m. The block and bullet continue to move, compressing the spring by 35.0 cm before the whole system momentarily comes to a stop. Assuming that the surface on which the block is resting is frictionless, determine the mass ?w of the wooden block.arrow_forwardA 25 kg child bounces on a pogo stick. The pogo stick has a spring with spring constant 2.0 x 104 N/m. When the child makes a nice big bounce, she finds that at the bottom of the bounce she is accelerating upward at 9.8 m/s2. How much is the spring compressed?arrow_forward
- A bullet with a mass ?b=13.1 g is fired into a block of wood at velocity ?b=261 m/s. The block is attached to a spring that has a spring constant ? of 205 N/m. The block and bullet continue to move, compressing the spring by 35.0 cmbefore the whole system momentarily comes to a stop. Assuming that the surface on which the block is resting is frictionless, determine the mass ?w of the wooden block.arrow_forwardA car with mass 1530 kg crashes into a wall. The car’s velocity immediately before the collision was 12.6 m/s and the bumper is compressed like a spring with spring constant 1.14 × 107 N/m. What is the maximum deformation of the bumper for this collision?Answer in units of m.arrow_forwardQ19. A wooden block of mass mı sits on a floor attached to a spring in its equilibrium position. A bullet of mass m2 is fired with a velocity of v into the wooden block, where it remains. Derive an equation for the maximum displacement of the spring if the floor is frictionless and the spring has a spring constant 1 of k. (x = m2v k(m1+m2)'arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Impulse Derivation and Demonstration; Author: Flipping Physics;https://www.youtube.com/watch?v=9rwkTnTOB0s;License: Standard YouTube License, CC-BY