The table gives mass and speed data for the two objects in the figure. Find (a) the kinetic energy, (b) the magnitude of the momentum for object A and (c) the kinetic energy, (d) the magnitude of the momentum for object B. Object A Object B Mass 2.40 kg 5.00 kg Speed 5.00m/s 2.40m/s A 2.40 kg B 5.00 kg 5.00 m/s 2.40 m/s

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Chapter9: Linear Momentum And Collisions
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### Physics: Calculating Kinetic Energy and Momentum

The table below provides the mass and speed data for two objects, A and B, as illustrated in the accompanying figure. The task is to determine: 
(a) the kinetic energy of each object,
(b) the magnitude of the momentum for object A,
(c) the magnitude of the momentum for object B.

#### Data and Figure Representation:

| Object   | Mass   | Speed   |
|----------|--------|---------|
| Object A | 2.40 kg| 5.00 m/s|
| Object B | 5.00 kg| 2.40 m/s|

Objects A and B are visually represented with mass and velocity vectors:

1. **Object A**:
   - Mass = 2.40 kg 
   - Speed = 5.00 m/s 
   - Depicted as a yellow sphere
   - Speed vector shown pointing to the right 

2. **Object B**:
   - Mass = 5.00 kg 
   - Speed = 2.40 m/s 
   - Depicted as a blue sphere 
   - Speed vector shown pointing to the right

#### Explanation of Graphs/Figures:

The figure consists of:
- Two spheres representing objects A and B
- Red arrows indicating the direction and magnitude of their velocity
- Object A (yellow sphere, upper part) moving at 5.00 m/s
- Object B (blue sphere, lower part) moving at 2.40 m/s

For calculations:
1. **Kinetic Energy (KE)**: \( KE = \frac{1}{2} mv^2 \)
   - Object A: \( KE_A = \frac{1}{2} \times 2.40 \, \text{kg} \times (5.00 \, \text{m/s})^2 \)
   - Object B: \( KE_B = \frac{1}{2} \times 5.00 \, \text{kg} \times (2.40 \, \text{m/s})^2 \)

2. **Momentum (p)**: \( p = mv \)
   - Object A: \( p_A = 2.40 \, \text{kg} \times 5.00 \, \text{m/s} \)
   - Object B: \( p_B = 5.00 \, \text{
Transcribed Image Text:### Physics: Calculating Kinetic Energy and Momentum The table below provides the mass and speed data for two objects, A and B, as illustrated in the accompanying figure. The task is to determine: (a) the kinetic energy of each object, (b) the magnitude of the momentum for object A, (c) the magnitude of the momentum for object B. #### Data and Figure Representation: | Object | Mass | Speed | |----------|--------|---------| | Object A | 2.40 kg| 5.00 m/s| | Object B | 5.00 kg| 2.40 m/s| Objects A and B are visually represented with mass and velocity vectors: 1. **Object A**: - Mass = 2.40 kg - Speed = 5.00 m/s - Depicted as a yellow sphere - Speed vector shown pointing to the right 2. **Object B**: - Mass = 5.00 kg - Speed = 2.40 m/s - Depicted as a blue sphere - Speed vector shown pointing to the right #### Explanation of Graphs/Figures: The figure consists of: - Two spheres representing objects A and B - Red arrows indicating the direction and magnitude of their velocity - Object A (yellow sphere, upper part) moving at 5.00 m/s - Object B (blue sphere, lower part) moving at 2.40 m/s For calculations: 1. **Kinetic Energy (KE)**: \( KE = \frac{1}{2} mv^2 \) - Object A: \( KE_A = \frac{1}{2} \times 2.40 \, \text{kg} \times (5.00 \, \text{m/s})^2 \) - Object B: \( KE_B = \frac{1}{2} \times 5.00 \, \text{kg} \times (2.40 \, \text{m/s})^2 \) 2. **Momentum (p)**: \( p = mv \) - Object A: \( p_A = 2.40 \, \text{kg} \times 5.00 \, \text{m/s} \) - Object B: \( p_B = 5.00 \, \text{
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