The cars are equipped with a coupling arrangement similar to the one on railroad cars. Car #1 overtakes car #2 and they have a totally inelastic collision and become coupled together. You know the mass of each car; m, = 11.5 kg and m, = 44.0 kg. In addition, you are provided with the following graph, which shows the momentum of car #1 before, during and after the collision. p (kg · m/s) 100 40 t (s) Determine the velocity (in m/s) of car #2 before the collision. m/s

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
### Physics: Momentum and Collisions

In this exercise, we explore the concepts of momentum and collisions through a practical example involving two cars on a horizontal frictionless surface.

#### Scenario:

Two cars, labeled #1 and #2, are sliding towards each other. Car #1 overtakes car #2, resulting in a totally inelastic collision where the two cars couple together.

- **Mass of Car #1 (\(m_1\))**: 11.5 kg
- **Mass of Car #2 (\(m_2\))**: 44.0 kg

After the collision, both cars move as a single unit.

#### Graph Analysis:

The accompanying graph provides the momentum (\(p\)) of Car #1 over time (\(t\)) before, during, and after the collision:

- **Y-axis (momentum, \(p\) in kg⋅m/s)** ranges from 0 to 100.
- **X-axis (time, \(t\) in seconds)** indicates the duration of the event.

- **Graph Description**: 
  - Initially, the momentum is 100 kg⋅m/s.
  - At the point of collision, momentum drops sharply, leveling out at 40 kg⋅m/s.

#### Problem:

**Determine the velocity of Car #2 before the collision.**

Consider conservation of momentum to solve this problem. In a totally inelastic collision, the momentum of the system is conserved.

**Enter your answer for the velocity of Car #2 before the collision:**

[Input Box] m/s
Transcribed Image Text:### Physics: Momentum and Collisions In this exercise, we explore the concepts of momentum and collisions through a practical example involving two cars on a horizontal frictionless surface. #### Scenario: Two cars, labeled #1 and #2, are sliding towards each other. Car #1 overtakes car #2, resulting in a totally inelastic collision where the two cars couple together. - **Mass of Car #1 (\(m_1\))**: 11.5 kg - **Mass of Car #2 (\(m_2\))**: 44.0 kg After the collision, both cars move as a single unit. #### Graph Analysis: The accompanying graph provides the momentum (\(p\)) of Car #1 over time (\(t\)) before, during, and after the collision: - **Y-axis (momentum, \(p\) in kg⋅m/s)** ranges from 0 to 100. - **X-axis (time, \(t\) in seconds)** indicates the duration of the event. - **Graph Description**: - Initially, the momentum is 100 kg⋅m/s. - At the point of collision, momentum drops sharply, leveling out at 40 kg⋅m/s. #### Problem: **Determine the velocity of Car #2 before the collision.** Consider conservation of momentum to solve this problem. In a totally inelastic collision, the momentum of the system is conserved. **Enter your answer for the velocity of Car #2 before the collision:** [Input Box] m/s
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