Calculating Impulse of a Ball Dropped from Rest

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Homework Help Overview

The problem involves calculating the impulse experienced by a ball dropped from rest, which rebounds after hitting the floor. The context is within the subject area of mechanics, specifically focusing on concepts of impulse and momentum.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss using the impulse-momentum theorem and kinematic equations to find the velocities before and after the collision. There are questions about how to approach the problem without knowing the time of the fall.

Discussion Status

Some participants have confirmed the use of impulse as a valid approach and are exploring how to calculate the velocities involved. There is a productive exchange regarding the application of kinematic equations to find these velocities.

Contextual Notes

Participants note the absence of time as a variable in their calculations, which influences their approach to using kinematic equations.

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Homework Statement


A 0.150 kg ball is dropped 1.25m from rest. It rebounds to a height of 0.960m. What is the impulse given to the ball by the floor?


Homework Equations


I=[tex]\Delta[/tex]p and p=mv were the equations I was trying to use. I was pretty sure I should use F=ma since the only other thing that I know is acceleration due to gravity. I don't know anything about time so I ruled out [tex]\int[/tex][tex]\sum[/tex]Fdt.


The Attempt at a Solution

 
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mickellowery said:
I=[tex]\Delta[/tex]p and p=mv were the equations I was trying to use.
Good. So how can you figure out the velocity just before and just after it hits the floor?

Hint: When the ball is in the air, it's just a projectile.
 
Using I = Δp is the correct approach. Can you find what v just before and just after the collision? If so, then you can find Δv and from this Δp.
 
So can I use the kinematics equations? Since I don't know anything about time can I use vf2= vi2+2a (xf-xi) to find the velocity?
 
mickellowery said:
So can I use the kinematics equations? Since I don't know anything about time can I use vf2= vi2+2a (xf-xi) to find the velocity?
Sounds good to me.
 
thanks kindly to all!
 

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