The figure below shows a titanium ball with a mass of 2.48 kg bouncing off a wall. The ball has the same speed just before and just after the impact (v = 10.0 m/s), and the angle its path makes with the wall is θ = 60.0° as shown. (Because we are analyzing the motion of the ball over a very short time just before and after impact, you may safely ignore the effect of gravity on the ball.) The ball is in contact with the wall for 0.206 s. What is the average force (in N) exerted by the wall on the ball during the impact? The path of a ball hitting a vertical wall is superimposed on an x y plane. The ball starts in the third quadrant and moves up and to the right at an angle θ with the vertical until it hits the y-axis, whereupon it moves up and to the left at an angle also at θ to the vertical.

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Chapter1: Units, Trigonometry. And Vectors
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The figure below shows a titanium ball with a mass of 2.48 kg bouncing off a wall. The ball has the same speed just before and just after the impact
(v = 10.0 m/s), and the angle its path makes with the wall is θ = 60.0°
as shown. (Because we are analyzing the motion of the ball over a very short time just before and after impact, you may safely ignore the effect of gravity on the ball.) The ball is in contact with the wall for 0.206 s. What is the average force (in N) exerted by the wall on the ball during the impact?
The path of a ball hitting a vertical wall is superimposed on an x y plane. The ball starts in the third quadrant and moves up and to the right at an angle θ with the vertical until it hits the y-axis, whereupon it moves up and to the left at an angle also at θ to the vertical.
 
The image depicts a diagram illustrating the reflection of a particle from a surface. The following points describe the diagram:

1. **Axes**: 
   - The horizontal axis is labeled as the x-axis.
   - The vertical axis is labeled as the y-axis.

2. **Surface**:
   - A vertical line representing a reflective surface is shown along the y-axis.

3. **Incident and Reflected Particles**:
   - A particle is depicted approaching the reflective surface at an angle \( \theta \) to the normal (the line perpendicular to the surface).
   - The incoming path of the particle is indicated by a dashed line and an arrow pointing towards the surface.
   - The reflected path of the particle is also shown as a dashed line, with an arrow pointing away from the surface after reflection.

4. **Angles**:
   - The angle of incidence (\( \theta \)) is equal to the angle of reflection (\( \theta \)), demonstrating the law of reflection.

This diagram provides a clear visual representation of how a particle behaves upon striking a reflective surface, emphasizing the key principle that the angle of incidence is equal to the angle of reflection.
Transcribed Image Text:The image depicts a diagram illustrating the reflection of a particle from a surface. The following points describe the diagram: 1. **Axes**: - The horizontal axis is labeled as the x-axis. - The vertical axis is labeled as the y-axis. 2. **Surface**: - A vertical line representing a reflective surface is shown along the y-axis. 3. **Incident and Reflected Particles**: - A particle is depicted approaching the reflective surface at an angle \( \theta \) to the normal (the line perpendicular to the surface). - The incoming path of the particle is indicated by a dashed line and an arrow pointing towards the surface. - The reflected path of the particle is also shown as a dashed line, with an arrow pointing away from the surface after reflection. 4. **Angles**: - The angle of incidence (\( \theta \)) is equal to the angle of reflection (\( \theta \)), demonstrating the law of reflection. This diagram provides a clear visual representation of how a particle behaves upon striking a reflective surface, emphasizing the key principle that the angle of incidence is equal to the angle of reflection.
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