Elastic Collision Problem - pretty sure my answer isn't right.

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Homework Help Overview

The problem involves an elastic collision between two bumper cars, where one car is initially at rest. The scenario includes specific masses and initial velocities, and participants are exploring the implications of the collision on final velocities.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the initial calculations for Wolfie's speed after the collision and question the reasonableness of the result. They explore the implications of energy conservation in elastic collisions and the role of mass in determining final velocities.

Discussion Status

The discussion is ongoing, with participants questioning the validity of the calculated speed and considering the effects of mass on the outcome. Some guidance has been offered regarding the conservation of kinetic energy and the relationship between mass and velocity in elastic collisions.

Contextual Notes

There is a mention of the masses of the bumper cars themselves, which may not have been fully accounted for in the original calculations. Participants are also considering the implications of energy conservation versus velocity conservation in their reasoning.

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Homework Statement


Walt and Wolfie collide in bumper cars of mass 50 kg each. Walt has a mass of 78 kg, and Wolfie has a mass of 61 kg. Walt strikes Wolfie from the rear at V = 3.7 m/s. If the collision is elastic, Wolfie is initially at rest, and Walt's final speed is 0.2655 m/s in the same direction, what is Wolfie's speed after the collision?


Homework Equations


m1*(u1^2)/2 = m1*(v1^2)/2 + m2*(v2^2)/2


The Attempt at a Solution


78*(3.7^2)/2 = 78*(0.2655^2)/2 + 61*(x^2)/2
and I get 4.17 m/s, but that doesn't seem right to me.
Can anyone shed some light on this for me?
 
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Why doesn't 4.17 m/s sound reasonable to you?
 
Then Wolfie's speed after the collision is higher than the velocity that Walt hit Wolfie with initially, which doesn't seem right.
 
What happened to the mass of the bumper cars themselves?
 
Along SteamKing's lines, remember that the bumper cars are part of the kinetic energies we're talking about. With that said, Wolfie is less massive that Walt, so might it be conceivable that he's going faster than Walt was? We're talking about energy conservation, not velocity conservation.
 

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