Conservation of Energy and internal energy

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Homework Help Overview

The problem involves a 0.75-kg block sliding on a rough horizontal surface, compressing a spring before coming to rest. The context centers around the conservation of energy, particularly focusing on the internal energy changes associated with the system as the block interacts with the spring.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the application of conservation of energy principles, questioning the interpretation of internal energy and its relationship to heat loss. There are attempts to clarify the definitions and implications of energy changes in the system.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem and the definitions involved. Some have provided calculations that suggest a discrepancy with the answer key, while others are questioning the clarity of the problem's wording.

Contextual Notes

There is uncertainty regarding the definition of "internal energy" and how it relates to the energy lost to heat. Participants are also considering the exclusion of the spring in the energy calculations, which may affect the interpretation of the results.

Ishida52134
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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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