15) A 5.0 kg ball moving to the right at 10 m/s collides with a stationary 3.0 kg ball. After the collision, the 5.0 kg ball has velocity 4.0 m/s in the x-direction and -2.0 m/s in the y- direction (as shown in the figure below). a) What is the final velocity vector of the 3.0 kg ball? b) Was this an elastic collision? Before V2i = 0 m/s Vi = 10£ m/s 3.0 kg 5.0 kg ŷ A After V25 = 3.0 kg

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)...
icon
Related questions
Question
100%
### Problem Statement

15) A 5.0 kg ball moving to the right at 10 m/s collides with a stationary 3.0 kg ball. After the collision, the 5.0 kg ball has a velocity of 4.0 m/s in the x-direction and -2.0 m/s in the y-direction (as shown in the figure below).

a) What is the final velocity vector of the 3.0 kg ball?  
b) Was this an elastic collision?

### Diagram Description

#### Before the Collision:
- A 5.0 kg ball is moving to the right with an initial velocity \( \vec{v}_{1,i} = 10\hat{i} \, \text{m/s} \).
- A 3.0 kg ball is stationary with an initial velocity \( \vec{v}_{2,i} = 0 \, \text{m/s} \).

#### After the Collision:
- The 5.0 kg ball moves with a final velocity \( \vec{v}_{1,f} = 4.0\hat{i} - 2.0\hat{j} \, \text{m/s} \).
- The final velocity of the 3.0 kg ball \( \vec{v}_{2,f} \) is unknown.

### Coordinate Axes
- \( \hat{i} \) indicates the positive x-direction.
- \( \hat{j} \) indicates the positive y-direction.

### Questions to Solve
a) Determine the final velocity vector \( \vec{v}_{2,f} \) of the 3.0 kg ball.  
b) Determine if the collision was elastic.
Transcribed Image Text:### Problem Statement 15) A 5.0 kg ball moving to the right at 10 m/s collides with a stationary 3.0 kg ball. After the collision, the 5.0 kg ball has a velocity of 4.0 m/s in the x-direction and -2.0 m/s in the y-direction (as shown in the figure below). a) What is the final velocity vector of the 3.0 kg ball? b) Was this an elastic collision? ### Diagram Description #### Before the Collision: - A 5.0 kg ball is moving to the right with an initial velocity \( \vec{v}_{1,i} = 10\hat{i} \, \text{m/s} \). - A 3.0 kg ball is stationary with an initial velocity \( \vec{v}_{2,i} = 0 \, \text{m/s} \). #### After the Collision: - The 5.0 kg ball moves with a final velocity \( \vec{v}_{1,f} = 4.0\hat{i} - 2.0\hat{j} \, \text{m/s} \). - The final velocity of the 3.0 kg ball \( \vec{v}_{2,f} \) is unknown. ### Coordinate Axes - \( \hat{i} \) indicates the positive x-direction. - \( \hat{j} \) indicates the positive y-direction. ### Questions to Solve a) Determine the final velocity vector \( \vec{v}_{2,f} \) of the 3.0 kg ball. b) Determine if the collision was elastic.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Impulse
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
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…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON