Coefficient of restitution in two dimensions

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The discussion focuses on calculating the speed and angle of a ball's reflection after it strikes the floor at an angle, given its mass, initial speed, and coefficient of restitution. Momentum conservation is acknowledged in the x-direction, but the challenge lies in applying the coefficient of restitution (e) to the problem. The coefficient of restitution is relevant to the relative motion components in the direction of impact. Participants clarify how to incorporate e into the calculations for accurate results. Understanding these principles is crucial for solving the problem effectively.
carlyn medona

Homework Statement


A ball of mass m hits the floor with a speed v making
an angle of incidence theta with the normal. The coefficient
of restitution is e. Find the speed of the reflected ball and
the angle of reflection of the ball.

The Attempt at a Solution


I know that momentum is conserved in x direction. so I got one equation.
Now how do I use e in this problem[/B]
 

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carlyn medona said:
how do I use e in this problem
That coefficient applies to the component of relative motion in the direction of the impact forces.
 
Okay sorry for replying late, and thanks a lot.
 
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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