Calculating Impact Velocity Using Coefficient of Restitution

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To calculate impact velocity, the height from which an object is dropped and the height it bounces back can be used to determine the coefficient of restitution (CoR). The discussion emphasizes that the mass of the ball is not necessary for calculating impact velocity, as the equations for constant acceleration can be applied directly. While some mechanical energy is lost during the bounce, the CoR is not required to find the final impact velocity. Instead, using the heights involved allows for a straightforward calculation of both impact and rebound velocities. Understanding these principles is crucial for accurately assessing the dynamics of bouncing objects.
bionut
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Hi all, I know this may see basic but how would I go about calcualting Impact velovity?

The only information I have is:
Height dropped, height bounced and from here I can calculate the CofR...

But how would I go about finding impact velocity
 
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Conservation of energy.
 
YEs, I thought of that... but don't know the mass of the ball?
 
bionut said:
Yes, I thought of that... but don't know the mass of the ball?
Use m for the mass of the ball.


Both KE & PE are proportional to the mass, m.
 
Last edited:
bionut said:
Hi all, I know this may see basic but how would I go about calcualting Impact velovity?

The only information I have is:
Height dropped, height bounced and from here I can calculate the CofR...

But how would I go about finding impact velocity

I don't get the question, i think it is wrong just because there is no need for the Coefficient of Restitution to find the impact (final ) velocity .

The Equations for constant acceleration , once applied would be used to find the Impact velocity AND the rebound velocity
 
hms.tech said:
I don't get the question, i think it is wrong just because there is no need for the Coefficient of Restitution to find the impact (final ) velocity .

The Equations for constant acceleration , once applied would be used to find the Impact velocity AND the rebound velocity
Some mechanical energy is lost in the bounce. Thus there is a coefficient of restitution.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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