Energy in spring (slingshot problems)

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SUMMARY

The discussion revolves around solving a slingshot physics problem involving energy calculations. The spring constant was determined to be 380 N/m, and the total energy stored in the sling when the bowling ball is ready to be fired was calculated as 1597.9 J. The kinetic energy of the bowling ball upon leaving the slingshot was derived as 1413.17 J after accounting for potential energy. The conversation highlights the importance of distinguishing between total energy and kinetic energy, as well as the need to consider gravitational potential energy in the context of 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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