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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
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)...
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R4 please answer all problems and also write out all steps and reasoning. The second image shows the correct answers. 

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: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?
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?
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?
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