A "Newton's cradle" is a common desk toy that is composed of 5 identical metal balls of mass m hanging from ideal strings of length L. The balls have a very small spacing between them. The first ball is lifted by 90° and then released from rest. All of the collisions between the balls are elastic. Figure 5: Image of a Newton's cradle (a) What is the speed of the first ball immediately before it collides with the second ball? (b) Immediately after the first ball collides with the second, what are the velocities of the two balls? (c) After this collision, ball 2 goes on to collide with ball 3, 3 with 4, and then 4 with 5. What is the velocity of ball 5 just after this final collision?
A "Newton's cradle" is a common desk toy that is composed of 5 identical metal balls of mass m hanging from ideal strings of length L. The balls have a very small spacing between them. The first ball is lifted by 90° and then released from rest. All of the collisions between the balls are elastic. Figure 5: Image of a Newton's cradle (a) What is the speed of the first ball immediately before it collides with the second ball? (b) Immediately after the first ball collides with the second, what are the velocities of the two balls? (c) After this collision, ball 2 goes on to collide with ball 3, 3 with 4, and then 4 with 5. What is the velocity of ball 5 just after this final collision?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
Question
R4 please answer all problems and also write out all steps and reasoning. The second image shows the correct answers.
Transcribed Image Text:QuestionR.4.
A "Newton's cradle" is a common desk toy that is composed of 5 identical
metal balls of mass m hanging from ideal strings of length L. The balls have
a very small spacing between them. The first ball is lifted by 90° and then
released from rest. All of the collisions between the balls are elastic.
Figure 5: Image of a Newton's cradle
(a) What is the speed of the first ball immediately before it collides with
the second ball?
(b) Immediately after the first ball collides with the second, what are the
velocities of the two balls?
(c) After this collision, ball 2 goes on to collide with ball 3, 3 with 4,
and then 4 with 5. What is the velocity of ball 5 just after this final
collision?
(d) The fifth ball then swings freely to the right to some maximum height.
What is this maximum height?
Transcribed Image Text:4) a)
Ein =Ef
%3D
v= 1ZgL
V =
2gh
6) 1D elastic
collision
init. vel.
final vel.
V, , Vz
Uz
M, , M2
M,- My
V, +
Vz
M,V, + Mq Uz c M, U,+MqUq
Myt M2
%3D
V.
M, = M
,E M
U, =0
%3D
c)
v, = U.
U, = 0
Vg =0 SUg=U
V5 =U
E, - Ein
%3D
%3D
mgh {mp?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
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.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON