Conservation of momentum multiple choice

AI Thread Summary
In a discussion about a physics question regarding a skater hopping onto a sliding board on frictionless ice, participants debated the conservation of momentum and energy. The initial answer proposed was that linear momentum is converted to angular momentum, but the teacher argued that both linear and angular momentum are conserved. The consensus leaned towards the teacher's perspective, emphasizing that linear momentum is conserved in such scenarios. The confusion stemmed from the interpretation of momentum conservation and the implications of the skater's action on the board's motion. Ultimately, the discussion highlighted the importance of understanding momentum conservation principles in physics.
Varanasi
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Here is the question


5. A long board is free to slide on a sheet of frictionless ice. As shown in the top view above, a skater skates to the board and hops onto one end, causing the board to slide and rotate. In this situation, which of the following occurs?

A) Linear momentum is converted to angular momentum.
(B) Kinetic energy is converted to angular momentum.
(C) Rotational kinetic energy is conserved.
(D) Translational kinetic energy is conserved.
(E) Linear momentum and angular momentum are both conserved.

The answer to the question I found is A. However, my teacher says it is E

Help?

BCD are obviously wrong because its Kinetic - not conserved

My problem with A is that it isn't fixed around a point, and it gives the implication that all momentum will be converted, which isn't - at least, to my thinking - true because it will move in a linear direction

For E... Conservation of momentum is my only reasoning
 
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What do you mean you 'found' A? How did you find it? Linear and angular momentum ARE conserved.
 
I guess I should have clarified

I found the answer online - its a former AP multiple choice my teacher gave us to prepare for a midterm

The AP answer sheet says the answer is A
 
Ok, fair enough. Then that's a pretty sad AP answer sheet. If you don't have some other reason to believe it, then I would believe your teacher. Because your teacher is right.
 
Thanks :)
 
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 .
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