What is the conservation of energy problem involving h and v?

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Homework Help Overview

The discussion revolves around a conservation of energy problem involving a spring and an arrow, focusing on the relationship between height (h) and velocity (v) as the arrow is released from the bow. Participants are exploring the relevant equations and concepts related to potential energy and kinetic energy in this context.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants express uncertainty about the equations needed, particularly regarding the inclusion of height in energy calculations. Some question the terminology used in the problem, specifically the term "strength" in relation to spring constant. Others discuss the average force exerted on the arrow and the work done during its release.

Discussion Status

The discussion is ongoing, with participants sharing their attempts to understand the problem. Some have suggested potential equations and relationships, while others are still grappling with the concepts and terminology. There is a mix of interpretations and approaches being explored without a clear consensus yet.

Contextual Notes

Participants note confusion regarding the problem's terminology and the assumptions about the forces involved. There is also mention of the need to clarify the relationship between the energy stored in the spring and the gravitational potential energy of the arrow.

Karhitect
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Homework Statement


i attached the problem since its easier.


Homework Equations



im not sure. i know the equation for h has to be included. but I am not sure what other equations must be used.

The Attempt at a Solution



I honestly don't know how to begin. Any kind of help would be greatly appreciated!
 

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i didnt think i had to use the potential spring energy equation because i need to find the velocity for when it comes back down...im really bad at this lol sorry
 
Karhitect said:

Homework Statement


i attached the problem since its easier.


Homework Equations



im not sure. i know the equation for h has to be included. but I am not sure what other equations must be used.

The Attempt at a Solution



I honestly don't know how to begin. Any kind of help would be greatly appreciated!

The terminology in the problem statement is confusing. When the problem refers to "strength", what it is really referring to is stiffness or spring constant. The term strength is usually reserved for when something breaks. You also apparently need to assume that the force the bow string exerts on the arrow is directly proportional to the draw displacement, such that when the draw displacement is zero, the force is zero, and when the displacement is d, the force is kd. So..., during the time that the arrow is in contact with the bow, what is the average force exerted on it by the bow? How much work is done on the arrow by the bow during the contact period? What does this translate into in terms of gravitational potential energy when the arrow reaches its maximum height. What is the upward velocity of the arrow when it reaches its maximum height?
 
would the equation be 1/2mv2=mgh

then replace h with the equation for h and isolate v??

im just not understanding this problem.
 
Last edited:

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