KE Loss Qs 8: Elastic Collisions Explained

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The discussion revolves around the conditions under which all kinetic energy (KE) is lost during collisions. Participants debate the validity of statements regarding equal mass and opposite velocity collisions, with examples like billiard balls illustrating elastic collisions where KE is conserved. The consensus suggests that the original phrasing of "All KE is lost when" may be misleading, as it overlooks scenarios where KE can be conserved in elastic collisions. Clarification is sought on whether the statement should indicate that all KE "can" be lost rather than stating it as a definitive condition. Ultimately, the conversation highlights the complexity of collision types and energy conservation principles.
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8. All KE is lost when:
(a) two bodies of equal mass collide,
(b) two bodies of opposite initial velocity collide,
(c) two bodies of equal mass and opposite initial velocity collide,
(d) never.

None of these make sense to me.
(a) Billard balls have elastic collisions.
(b) Billard balls again disprove this...
(c) Billard balls...
(d) ...... Elastic collisions exist.
 
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Kinetic energy is lost in inelastic collisions. Does that help? Total energy is however conserved.
 
Yes. I don't see how that helps though. My counter-examples still hold true.
 
Your 'counterexample' on part (d) is incorrect; so what if elastic collisions exist? That tells us nothing about a case where *all* KE is lost, which is what the question is about.

As for the question itself, I'm not actually sure! :o. Are you completely sure it was "All KE is lost when" and not "All KE *can* be lost when"? That would make more sense, because in all the examples it can be conserved as well, depending on whether the collision is elastic or not. Or maybe I'm just delirious because it's midnight. Oh well.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...

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