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
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
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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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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