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
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)...
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![### 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ac9d050-1fff-4e75-b553-243d63aa5f64%2Fce9b78a9-65d9-4a61-9916-6995059c3955%2F8091lfc_processed.png&w=3840&q=75)
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
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