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The figure below shows an overhead view of two particles sliding at constant vel

ID: 2054530 • Letter: T

Question

The figure below shows an overhead view of two particles sliding at constant velocity over a frictionless surface. The particles have the same mass and the same initial speed v = 5.80 m/s, and they collide where their paths intersect. An x axis is arranged to bisect the angle between their incoming paths, so that = 46.0°. The region to the right of the collision is divided into four lettered sections by the x axis and four numbered dashed lines.

What is the final speed of the particles for the following types of collision?

(e) elastic
_____________m/s (particle initially on green line)

The figure below shows an overhead view of two particles sliding at constant velocity over a frictionless surface. The particles have the same mass and the same initial speed v = 5.80 m/s, and they collide where their paths intersect. An x axis is arranged to bisect the angle between their incoming paths, so that theta = 46.0 degree. The region to the right of the collision is divided into four lettered sections by the x axis and four numbered dashed lines. What is the final speed of the particles for the following types of collision? (e) elastic _____________m/s (particle initially on green line)

Explanation / Answer

We know that all momentum must be conserved. Since the particles have the same mass and are traveling at the same speed before the collision, in an elastic collision, they must have the same speed as they had before the collision. Only the directions will be a different. Each mass will still have a speed of 5.8 m/s but the green mass will now follow the dashed brown line and the brown mass will now follow the dashed green line.

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