3.12-kg steel ball strikes a massive wall at 10.0 m/s at an angle of  ? = 60.0°  with the plane of the wall. It bounces off the wall with the same speed and angle (see the figure below). If the ball is in contact with the wall for 0.206 s, what is the average force exerted by the wall on the ball? magnitude      N direction

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A 3.12-kg steel ball strikes a massive wall at 10.0 m/s at an angle of 

? = 60.0°

 with the plane of the wall. It bounces off the wall with the same speed and angle (see the figure below). If the ball is in contact with the wall for 0.206 s, what is the average force exerted by the wall on the ball?

magnitude      N
direction          

 

In this educational diagram, we observe the behavior of a particle during an elastic collision with a vertical wall. The coordinate system used has the x-axis as the horizontal axis and the y-axis as the vertical axis.

1. **Particles**: Two spherical particles are depicted in the diagram. One of them is approaching the wall, while the other seems to have rebounded back.

2. **Incident Particle**: The particle that is moving towards the wall is shown with a red directional arrow indicating its path before impact. This path forms an angle \( \theta \) with the negative x-axis, signifying the angle of incidence.

3. **Rebounded Particle**: The particle that has rebounded from the wall is depicted with a red directional arrow indicating its path after impact. This path also forms an angle \( \theta \) with the positive x-axis, indicating the angle of reflection.

4. **Reflection Law**: The angles marked in the diagram help illustrate the law of reflection, which states that the angle of incidence (\( \theta \)) is equal to the angle of reflection (\( \theta \)). This is an important concept in physics that applies to elastic collisions.

The vertical wall is represented slightly shaded for visual context. The dashed lines are used only for illustrative purposes to show the particles' paths relative to the coordinate axes.

In summary, the diagram effectively demonstrates a fundamental principle of physics related to the behavior of particles during elastic collisions with surfaces, adhering to the law of reflection.
Transcribed Image Text:In this educational diagram, we observe the behavior of a particle during an elastic collision with a vertical wall. The coordinate system used has the x-axis as the horizontal axis and the y-axis as the vertical axis. 1. **Particles**: Two spherical particles are depicted in the diagram. One of them is approaching the wall, while the other seems to have rebounded back. 2. **Incident Particle**: The particle that is moving towards the wall is shown with a red directional arrow indicating its path before impact. This path forms an angle \( \theta \) with the negative x-axis, signifying the angle of incidence. 3. **Rebounded Particle**: The particle that has rebounded from the wall is depicted with a red directional arrow indicating its path after impact. This path also forms an angle \( \theta \) with the positive x-axis, indicating the angle of reflection. 4. **Reflection Law**: The angles marked in the diagram help illustrate the law of reflection, which states that the angle of incidence (\( \theta \)) is equal to the angle of reflection (\( \theta \)). This is an important concept in physics that applies to elastic collisions. The vertical wall is represented slightly shaded for visual context. The dashed lines are used only for illustrative purposes to show the particles' paths relative to the coordinate axes. In summary, the diagram effectively demonstrates a fundamental principle of physics related to the behavior of particles during elastic collisions with surfaces, adhering to the law of reflection.
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