Elastic Collision: Explaining the Energy Transfer in a Turtle-Lion Collision

AI Thread Summary
In a hypothetical elastic collision between a turtle and a lion on a frictionless surface, the lion can have more kinetic energy after the collision if the turtle is heavier and moving faster initially. The discussion emphasizes that the collision does not need to be perfectly elastic, as some kinetic energy can be retained by both animals. Key points include the importance of momentum conservation and the center of mass, which dictates that the lion cannot have an initial velocity of zero if observed from the center of mass frame. Participants debate the conditions under which the lion's kinetic energy can exceed that of the turtle post-collision, highlighting the complexities of mass and velocity interactions. Ultimately, the conversation underscores the need for precise calculations of momentum and kinetic energy to understand the dynamics of the collision.
Dan350
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What would you respond on this question?
Would you correct me if necessary on my response please?
Thanks

1. A turtle and a Lion have a violent collision on a frictionless horizontal field. As you witness the collision you realize that you are in the center of mas system. After the collision you note that the lion has more kinetic energy than the turtle.Explain how can this be possible and state what you have learned about the collision the lion an the turtle from the observation.




3. For me this is an elastic collision problem. For me, the only way the lion has more kinetic energy AFTER the collison is that the turtle was heavier than the lion an was moving faster. The Lion had to be not moving before the colliision.
What I learned about the observation was that not matter the size, what matters iswhats happening on the sceneario,, in this case the turtle moving faster
 
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The lion's p1 = m1 v1. The turtle's p2 = m2 v2. (v2 < 0).
The collision need not be elastic. Of course, it isn't totally inelastic either (some k.e. remains).

Juggle p1 and p2 around so that 1/2 m1 v1^2 > 1/2 m2 v2^2 even though m2 << m1.

(If you're at the c.m. then the lion cannot have initial velocity = 0. Remember, the c.m. does not change at any time.)
 
Dan350 said:
For me this is an elastic collision problem. For me, the only way the lion has more kinetic energy AFTER the collison is that the turtle was heavier than the lion an was moving faster.
As rude man says, it is not necessarily elastic. Pls post your reasoning for your conclusions.
 
So what's happening,, how can have more kinetic energy after the collision?
and, haru, what i was thinking was that the turtle had to hit the lion harder in orde to it to have more kinetic energy
 
Dan350 said:
So what's happening,, how can have more kinetic energy after the collision?
and, haru, what i was thinking was that the turtle had to hit the lion harder in orde to it to have more kinetic energy

You cannot have more k.e. after the collision than before.

You have to choose v1 and v2 such that the lion has more k.e. than the turtle after the collision. See my post #2.
 
Dan350 said:
what i was thinking was that the turtle had to hit the lion harder in orde to it to have more kinetic energy
Sure, but you cannot go from there to conclude that the turtle was both heavier and moving faster. It may only be one of the two. Could it be either, or does it have to be a particular one? Or is it the momentum or KE that has to be greater?
 
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