Conservation of Energy and internal energy

AI Thread Summary
The discussion revolves around a physics problem involving a 0.75-kg block sliding on a rough table and compressing a spring. The block's initial kinetic energy is calculated, and the change in mechanical energy is determined to be -2.6 J. This leads to a conclusion that internal energy should increase by 2.6 J, contradicting the answer key that states the change is C, indicating a decrease of 2.6 J. Participants express confusion over the definition of "internal energy" and whether it includes heat loss. The conversation highlights a potential misunderstanding in the problem's wording regarding energy conservation and internal energy definitions.
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Homework Statement


A 0.75-kg block slides on a rough horizontal table top. Just before it hits a horizontal ideal
spring its speed is 3.5m/s. It compresses the spring 5.7 cm before coming to rest. If the spring
constant is 1200N/m, the internal energy of the block and the table top must have:
A. not changed
B. decreased by 1.9J
C. decreased by 2.6J
D. increased by 1.9J
E. increased by 2.6J


Homework Equations


delta E = delta Emec + delta Etherm + delta Eint = 0


The Attempt at a Solution


basically I just did conservation of energy which I get that the change in mechanical energy is 1/2kx^2 - 1/2mv^2 = -2.6 J. Which means that the change in internal energy should be positive 2.6 J.
Why does the answer key say that it's C?
 
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I think the problem is the unclear definition of "internal energy". 2.6J are lost to heat or other things. If those things do not count as internal energy (?), the energy decreased by 2.6J. Looks strange...

Edit: Your second post was not very polite.
 
Last edited:
any ideas?
 
At start we have 4.59J KE. At end, 1.95J of PE, so 2.64J heat. So C only makes sense if it means the total non-heat energy in the system. But the wording clearly excludes the spring, so it must be a mistake.
 
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