Calculating Time and Energy Loss for a Bouncing Rubber Ball

Click For Summary

Homework Help Overview

The problem involves a rubber ball dropped from a height of 2 meters, requiring calculations for the time it takes to hit the ground and the time taken for the ball to come to rest after losing 10% of its kinetic energy with each bounce.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to solve the first part using the equation of motion but expresses uncertainty about the second part. Participants suggest finding the initial velocity after the first bounce and calculating the time for subsequent bounces, questioning whether the resulting times form a geometric progression.

Discussion Status

The discussion is ongoing, with participants exploring different approaches to the second part of the problem. Some guidance has been offered regarding the calculation of time intervals between bounces, but no consensus has been reached yet.

Contextual Notes

The problem involves assumptions about energy loss and the behavior of the ball during bounces, which are being examined by participants.

aurao2003
Messages
122
Reaction score
0

Homework Statement


Hi
I am struggling with this question. It goes like this:

A rubber ball is dropped on to flat ground from a height of 2m.
(a) Calculate how long it takes for the ball to first hit the ground.

(b)The ball loses 10% of its kinetic energy at each bounce. Calculate the time taken for the ball to come to rest.

I am able to solve the first part using equation of motion.
S=UT +0.5aT^2

I am not sure of the second part.




Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
hi aurao2003! :wink:
aurao2003 said:
(b)The ball loses 10% of its kinetic energy at each bounce. Calculate the time taken for the ball to come to rest.

find the initial velocity, immediately after the first bounce, and use that to find the time between the first and second bounces

then do the same for all the bounces, and add them …

what do you get? :smile:
 
tiny-tim said:
hi aurao2003! :wink:


find the initial velocity, immediately after the first bounce, and use that to find the time between the first and second bounces

then do the same for all the bounces, and add them …

what do you get? :smile:

It seems to be forming a geometric progression. Is that right?
 
s'right! :biggrin:
 
Cheers!
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 7 ·
Replies
7
Views
5K
  • · Replies 5 ·
Replies
5
Views
14K
Replies
7
Views
3K
Replies
13
Views
4K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
9
Views
5K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K