Help me find the distance traveled using COR

In summary, a ceramic ball of mass m is dropped from rest at a height h[0] above a horizontal ceramic surface and bounces vertically on the same spot. The coefficient of restitution between the ball and surface halves after each bounce. To find the distance traveled by the ball when it hits the surface for the third time, we can use the equation COR = speed of separation/speed of approach. Further examination of the relationship between height and velocity during a bounce may provide insights for solving this problem.
  • #1
corpuzdawn
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Homework Statement



A ceramic ball of mass m falls form rest a distance h[0] above a horizontal ceramic surface. The subsequent motion of the ball is purely vertical, bouncing ONLY on one spot on the surface. If the coefficient of restitution between the ball and surface halves after every bounce, find the distance traveled by the ball when the ball hits the surface for the third time.

Homework Equations



COR= speed of separation/speed of approach


The Attempt at a Solution



If the coefficient of restitution between the ball and surface halves after every bounce, find the distance traveled by the ball when the ball hits the surface for the third time.
 
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  • #2
corpuzdawn said:

Homework Statement



A ceramic ball of mass m falls form rest a distance h[0] above a horizontal ceramic surface. The subsequent motion of the ball is purely vertical, bouncing ONLY on one spot on the surface. If the coefficient of restitution between the ball and surface halves after every bounce, find the distance traveled by the ball when the ball hits the surface for the third time.

Homework Equations



COR= speed of separation/speed of approach


The Attempt at a Solution



If the coefficient of restitution between the ball and surface halves after every bounce, find the distance traveled by the ball when the ball hits the surface for the third time.
Your attempt is just a restatement of the problem, so not really an attempt :frown:

What are your thoughts on how you might approach this problem? For example, how does the height of a bounce depend upon the velocity?
 

FAQ: Help me find the distance traveled using COR

What is COR?

COR stands for coefficient of restitution. It is a measure of the elasticity of a collision between two objects, representing the ratio of the final velocity to the initial velocity of the objects.

How is COR calculated?

COR is calculated by dividing the relative velocity of the objects after the collision by the relative velocity before the collision. This can be measured using a variety of methods, such as video analysis or measuring the distances traveled by the objects.

Why is COR important?

COR is important because it helps us understand how objects behave during collisions. It is a fundamental concept in physics and is used in various fields such as sports, engineering, and forensics.

How do I find the distance traveled using COR?

To find the distance traveled using COR, you will need to know the initial velocity of the object, the coefficient of restitution, and the time of the collision. You can then use the formula d = v * t * COR, where d is the distance traveled, v is the initial velocity, t is the time, and COR is the coefficient of restitution.

Can COR be greater than 1?

Yes, COR can be greater than 1. This means that the objects are more elastic and will bounce off each other with a higher velocity after the collision. A COR of 1 represents a perfectly elastic collision, while a COR less than 1 represents a partially inelastic collision.

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