Ball bounces several times on an inclined plane

  • Thread starter carlyn medona
  • Start date
  • #1
carlyn medona

Homework Statement



A ball falls on an inclined plane of inclination theta from a
height h above the point of impact and makes a perfectly
elastic collision. Where will it hit the plane again ?
Solve the previous problem if the coefficient of restitution
is e. Use theta = 45°, e = .75 and h = 5 m.

Homework Equations




The Attempt at a Solution


I was able to solve first part of the problem and got the distance along the incline to be =8hsinθ. For second part I am getting angle of reflection of ball with normal to be 53 degree but the value in my text is 37degree. but I dont think the angle should be less than theta
 

Answers and Replies

  • #2
53
5
perfectly elastic collision
coefficient of restitution is e.
e = 0.75
So is it perfectly elastic or not?
 
  • #3
CWatters
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So is it perfectly elastic or not?
They want it solved twice. Once perfectly elastic then again with e=0.75.
 
  • #4
carlyn medona
that's right. In second case it is not elatic
 
  • #5
haruspex
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angle of reflection of ball with normal to be 53 degree but the value in my text is 37degree. but I dont think the angle should be less than theta
You are correct. If e < 1 then the angle to the normal of the reflection will be greater than the incident angle to the normal.
I assume you noticed that 37=90-53.
 
  • #6
carlyn medona
yes.
 
  • #7
carlyn medona
okay i finally solved it and got a value of 18.5 m along the incline, thanks for the help.
 
  • #8
haruspex
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okay i finally solved it and got a value of 18.5 m along the incline, thanks for the help.
Good. (I get 18.56.)
 
  • #9
carlyn medona
Thank you for your help.
 

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