Spring Deformation: Potential Energy Balance Incorrect?

In summary, in this conversation, the topic discussed is about a spring that is initially compressed and then deformed again when a block adds force to it. There is a disagreement about the energy balance and the potential energy of the spring being repeated. The problem being discussed is likely from a textbook and there was a misunderstanding about the question. The spring can only accumulate and return energy back into the system. A diagram is also requested for better understanding of the problem.
  • #1
MomentumBJ
2
1
Homework Statement
In this problem, a block that slides over an inclined plane reaches a spring at the bottom and compresses it.
Relevant Equations
In the energy balance T1 + V1 = T2 + V2, where:

T1 = (1/2)m*v1^2
V1g = m*g*h1
V1e = k*e1^2 = (1/2)*(30x10^3)( 0.050 )^2 = 37.5 J <--- compressed spring

T2 = (1/2)m*v2^2
V2g = mgh2
V2e = (1/2)*k*e2^2 =(1/2)*(30x10^3)(0.050 +x )^2 = 37.5 +1500*x + 15000*x^2

^----- again compressed


Thanks !
In the initial position the spring is previously compressed, then the block adds a force, and the spring is again deformed. I think the energy balance is incorrect; the potential energy of the spring is repeated.
 
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  • #2
Welcome! :cool:

Could you provide a diagram for this problem?
The spring can only accumulate energy (as it gets compressed) and return it back into the system (as it returns to its original length).
 
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  • #3
Thanks Lnewqban !, is the problem 13.68 form Beer and Jhonston. I misunderstood the question of the problem, the problem ask for additional compress, I got the complete deformation, there is not repeated term Thanks again.
 
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FAQ: Spring Deformation: Potential Energy Balance Incorrect?

What is spring deformation and why is it important?

Spring deformation is the change in shape or length of a spring when a force is applied to it. It is important because it allows us to understand how springs work and how they can be used in various applications, such as in mechanical systems or as a source of potential energy.

What is potential energy balance and how does it relate to spring deformation?

Potential energy balance is the principle that states that the total potential energy of a system remains constant, even when there are changes in the form of energy within the system. In the case of spring deformation, potential energy balance is important because it helps us to understand how the potential energy of a spring changes as it deforms under the influence of an external force.

What are some common causes of incorrect potential energy balance in spring deformation?

There are several factors that can lead to incorrect potential energy balance in spring deformation. Some common causes include neglecting the effects of friction, not taking into account the change in gravitational potential energy, and not considering the energy dissipated as heat due to internal friction within the spring.

How can incorrect potential energy balance in spring deformation be corrected?

To correct for incorrect potential energy balance in spring deformation, it is important to carefully consider all the factors that may affect the potential energy of the system. This includes taking into account the effects of friction, changes in gravitational potential energy, and energy dissipation due to internal friction. Additionally, using more precise measurements and calculations can also help to improve the accuracy of potential energy balance.

What are some practical applications of understanding spring deformation and potential energy balance?

Understanding spring deformation and potential energy balance has many practical applications. For example, it can help engineers design and optimize mechanical systems that use springs, such as car suspensions or door hinges. It can also be applied in fields such as renewable energy, where potential energy from deformed springs can be harnessed to generate electricity. Additionally, understanding these concepts can also aid in the development of more efficient and accurate measuring devices, such as scales and force sensors.

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