Coefficient of resistution problem

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The discussion focuses on understanding the coefficient of restitution in relation to a collision with a wall. Participants emphasize that the perpendicular component to the wall experiences an inelastic collision, while the parallel component remains unaffected. There is a need to convert velocity components from the i,j coordinate system to the n,p system for accurate calculations. The final velocities can be determined using the coefficient of restitution, allowing for direct solutions in the n,p framework. The conversation highlights the importance of correctly identifying components to avoid confusion in calculations.
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I think you need to determine how the coefficient of restitution will affect the collision with the wall. The component that is perpendicular to the wall (n) should experience the inelastic collision, while I think the p component should remain unaffected.
 
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Thanks for the reply. Yes I know this, however I don't know how to proceed; how to I form the velocity in p and q from i and j?

Thanks alot!
 
You have the transform already that 9/5 n + 13/5 p are the components in n,p of the final velocity in i,j.

So working in n,p you have an inelastic collision in n and elastic in p for which you have the final velocities, and the coefficient of restitution.

So you can solve directly in n,p and then employ the conversion to i,j can't you?

(Note: I incorrectly typo'ed that i was the component perpendicular to p when it was n. I have corrected that. Sorry if it added to any confusion.)
 
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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