Conservation of Energy Ball Problem

AI Thread Summary
The discussion revolves around a physics problem involving a 2.00-kg ball attached to a fishing line, where the objective is to determine the angle at which the line will break when the ball is released. Participants emphasize the importance of using the conservation of energy equation, noting that potential energy converts to kinetic energy as the ball falls. There is uncertainty regarding the necessary parameters to calculate the breaking angle and the forces involved, particularly how gravity affects the tension in the line. The conversation highlights the need to understand the relationship between potential energy, kinetic energy, and the forces acting on the fishing line. Ultimately, the problem requires clarity on the conditions leading to the line's failure under tension.
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Homework Statement



A 2.00-kg ball is attached to the bottom end of a length of 10-lb (44.5-N) fishing line. The top end of the fishing line is held stationary. The ball is released from rest while the line is taut and horizontal (\theta) = 90.0 degrees). At what angle \theta (measured from the vertical) will the fishing line break?

Homework Equations



Conservation of Energy:
Ki + Ui = Kf + Uf


The Attempt at a Solution



I'm pretty sure that I have to start with the conservation of energy equation, however, I am not quite sure that I have enough numbers to put into solve for anything. Also, I have no idea what circumstances would cause the fishing line to break. I'm just clueless as to where to begin here.
 
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clairez93 said:

Homework Statement



A 2.00-kg ball is attached to the bottom end of a length of 10-lb (44.5-N) fishing line. The top end of the fishing line is held stationary. The ball is released from rest while the line is taut and horizontal (\theta) = 90.0 degrees). At what angle \theta (measured from the vertical) will the fishing line break?

Homework Equations



Conservation of Energy:
Ki + Ui = Kf + Uf


The Attempt at a Solution



I'm pretty sure that I have to start with the conservation of energy equation, however, I am not quite sure that I have enough numbers to put into solve for anything. Also, I have no idea what circumstances would cause the fishing line to break. I'm just clueless as to where to begin here.

At what force will the line break? 10 lb test line breaks at ...44.5N? That's what it looks like.

So ... what will the force on the line be?

Doesn't the change in potential energy = kinetic? Might that have something to do with the velocity?

Won't there also be a component of gravity acting on the weight?
 

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