Energy in spring (slingshot problems)

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Homework Help Overview

The problem involves a slingshot mechanism where a bowling ball is launched after being pulled down from its rest position. The discussion focuses on calculating the spring constant, energy stored in the spring, and the kinetic energy of the bowling ball upon release, as well as the maximum height it can reach. The subject area includes concepts of energy, specifically elastic potential energy and gravitational potential energy.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculations for spring constant and energy, questioning the assumptions made regarding potential energy references and the types of potential energy involved. There are considerations about the transition from elastic potential energy to gravitational potential energy.

Discussion Status

The discussion is active, with participants raising questions about the definitions and differences between total energy and kinetic energy. There is an exploration of potential ambiguities in the problem regarding reference points for potential energy.

Contextual Notes

Participants note the lack of specified reference points for potential energies, which may affect the calculations and interpretations of energy in the problem.

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**Sorry I just noticed I posted this is the wrong forum, I don't see any delete button could a moderator move this to coursework/homework forum?

This is a problem that I kept getting wrong and never understood why. I'm not asking for answers just help on tackling the question. I have tried it before and I only got a. right. I am paraphrasing the question by the way.

11. There is a slingshot. It can be stretched 2.00 meters from its rest position with a force of 760N. They place a 6.50kg bowling ball in the sling and pull it down 2.90 meters from rest position. There is only vertical movement.

A)Find spring constant.
I got k=380N/m.

B)What is the total energy stored in the sling when the bowling ball is ready to be fired.
I tried Energy=0.5(k)(x)^2 where k is from A) and x is 2.90 meters. I got 1597.9 J

C)Total energy of bowling ball when it leaves the slingshot.
I tried Energy stored in spring. 1597.9 J

D)What is the kinetic energy when the ball leaves the sling?
I tried Energy stored in spring - potential energy used to gain 2.90 meters. 1413.17 J

F)Ignoring air Resistance what is maximum height.
I tried kinetic energy = potential energy (Solving for height in potential energy) ~22.184m + 2.9m from rest point.
 
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What other form of potential energy is operating here?
 
I think gravitational potential energy and elastic potential energy are the two I have to work with. Are you hinting at me missing one in my calculations? Would it happen to deal with what my x=0 is set at?
 
it seems right to me, but i think its probably easier to go right from elastic potential to graviational potential instead of converting your energy twice. is it possible that the question wants you to use g = Gmm/(r+h) as your gravitational acceleration, or wants you to take into account drag forces?
 
Can you define the difference between the "total energy" of part C and the "kinetic energy" of part D? Since the question did not specify zero references for the potential energies involved, it's a bit ambiguous.
 

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