A watermelon is blown into three pieces by a large firecracker. Two pieces of equal mass m fly away perpendicular to one another, one in the x direction another in the y direction. Both of these pieces fly away with a speed of V = 43 m/s. The third piece has three times the mass of the other two pieces. Write an expression for the speed of the larger piece, that is in terms of only the variable V.  What is the numeric value for the speed of the larger piece, in meters per second?   At what angle does the largest piece travel with respect to the -y axis, in degrees?

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
Topic Video
Question
100%

A watermelon is blown into three pieces by a large firecracker. Two pieces of equal mass m fly away perpendicular to one another, one in the x direction another in the y direction. Both of these pieces fly away with a speed of V = 43 m/s. The third piece has three times the mass of the other two pieces.


Write an expression for the speed of the larger piece, that is in terms of only the variable V

What is the numeric value for the speed of the larger piece, in meters per second? 

 At what angle does the largest piece travel with respect to the -y axis, in degrees? 

The diagram illustrates a situation involving the motion of three watermelons of differing masses on an xy-plane. Here is a detailed explanation:

1. **Axes**:
   - The horizontal line is labeled as the x-axis.
   - The vertical line is labeled as the y-axis.
   
2. **Objects and Motion**:
   - There are three watermelon segments, each labeled by its mass:
     - The top right segment has a mass of \( m \) and is moving in the positive y-direction with velocity \( V \).
     - The bottom right segment also has a mass of \( m \) and is moving in the positive x-direction with velocity \( V \).
     - The bottom left segment has a mass of \( 3m \) and is moving diagonally, forming an angle \( \theta \) with the negative y-axis. Its velocity vector is labeled as \( V_f \).

3. **Vectors**:
   - The velocity vectors are represented by red arrows indicating the direction and magnitude of motion for each watermelon segment.

This image effectively demonstrates a problem involving vector quantities and is likely related to a momentum or collision analysis in physics.
Transcribed Image Text:The diagram illustrates a situation involving the motion of three watermelons of differing masses on an xy-plane. Here is a detailed explanation: 1. **Axes**: - The horizontal line is labeled as the x-axis. - The vertical line is labeled as the y-axis. 2. **Objects and Motion**: - There are three watermelon segments, each labeled by its mass: - The top right segment has a mass of \( m \) and is moving in the positive y-direction with velocity \( V \). - The bottom right segment also has a mass of \( m \) and is moving in the positive x-direction with velocity \( V \). - The bottom left segment has a mass of \( 3m \) and is moving diagonally, forming an angle \( \theta \) with the negative y-axis. Its velocity vector is labeled as \( V_f \). 3. **Vectors**: - The velocity vectors are represented by red arrows indicating the direction and magnitude of motion for each watermelon segment. This image effectively demonstrates a problem involving vector quantities and is likely related to a momentum or collision analysis in physics.
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
Momentum
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