Car “A" Car "B" Initial Speed Final Speed 0.457 m/s o m/s 0.102 m/s 0,294 m/5 Prys = m,P,+m, System 0.232 kgm/s 0.349 egu/s Car "A" Car "B" 0.232 bqm/S 0.0518 kqm/s o kq m/s 0.297 kqm/s Initial Momentum Final Momentum Change in the system's momentum: * 0.//69 kgm/s Fraction of the system's momentum that is lost: Car "B" KE = Initial Kinetic Energy Final Kinetic Energy mr2 Car “A" System 0.0530 J 0.0530 J 0,00264 J 0.0437 J 0.04634 Change in the system's kinetic energy: 0.00671 J Fraction of the system's kinetic energy that is lost: Is this an elastic, inelastic or perfectly inelastic collision? Inelastıc

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Chapter1: Units, Trigonometry. And Vectors
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Could someone explain finding the fraction of momentum and kinetic energy lost please?

The mass of cart A is 0.508 kg and the mass of cart B is 1.011 kg.

### Collision Analysis: Cars "A" and "B"

#### Initial and Final Speeds

- **Car "A"**
  - Initial Speed: \( 0.457 \, \text{m/s} \)
  - Final Speed: \( 0.102 \, \text{m/s} \)

- **Car "B"**
  - Initial Speed: \( 0 \, \text{m/s} \)
  - Final Speed: \( 0.294 \, \text{m/s} \)

#### Momentum Analysis

- **Initial Momentum**
  - Car "A": \( 0.232 \, \text{kg} \cdot \text{m/s} \)
  - Car "B": \( 0 \, \text{kg} \cdot \text{m/s} \)
  - System: \( 0.232 \, \text{kg} \cdot \text{m/s} \)

- **Final Momentum**
  - Car "A": \( 0.0518 \, \text{kg} \cdot \text{m/s} \)
  - Car "B": \( 0.297 \, \text{kg} \cdot \text{m/s} \)
  - System: \( 0.349 \, \text{kg} \cdot \text{m/s} \)

#### Change in System's Momentum

- Change in Momentum: \( +0.1168 \, \text{kg} \cdot \text{m/s} \)

#### Kinetic Energy Analysis

- \( KE = \frac{1}{2} mv^2 \)

- **Initial Kinetic Energy**
  - Car "A": \( 0.0530 \, \text{J} \)
  - Car "B": \( 0 \, \text{J} \)
  - System: \( 0.0530 \, \text{J} \)

- **Final Kinetic Energy**
  - Car "A": \( 0.00264 \, \text{J} \)
  - Car "B": \( 0.0437 \, \text{J} \)
  - System: \( 0.04634 \, \text{J} \)

#### Change in System's Kinetic Energy

- Change in Kinetic Energy
Transcribed Image Text:### Collision Analysis: Cars "A" and "B" #### Initial and Final Speeds - **Car "A"** - Initial Speed: \( 0.457 \, \text{m/s} \) - Final Speed: \( 0.102 \, \text{m/s} \) - **Car "B"** - Initial Speed: \( 0 \, \text{m/s} \) - Final Speed: \( 0.294 \, \text{m/s} \) #### Momentum Analysis - **Initial Momentum** - Car "A": \( 0.232 \, \text{kg} \cdot \text{m/s} \) - Car "B": \( 0 \, \text{kg} \cdot \text{m/s} \) - System: \( 0.232 \, \text{kg} \cdot \text{m/s} \) - **Final Momentum** - Car "A": \( 0.0518 \, \text{kg} \cdot \text{m/s} \) - Car "B": \( 0.297 \, \text{kg} \cdot \text{m/s} \) - System: \( 0.349 \, \text{kg} \cdot \text{m/s} \) #### Change in System's Momentum - Change in Momentum: \( +0.1168 \, \text{kg} \cdot \text{m/s} \) #### Kinetic Energy Analysis - \( KE = \frac{1}{2} mv^2 \) - **Initial Kinetic Energy** - Car "A": \( 0.0530 \, \text{J} \) - Car "B": \( 0 \, \text{J} \) - System: \( 0.0530 \, \text{J} \) - **Final Kinetic Energy** - Car "A": \( 0.00264 \, \text{J} \) - Car "B": \( 0.0437 \, \text{J} \) - System: \( 0.04634 \, \text{J} \) #### Change in System's Kinetic Energy - Change in Kinetic Energy
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