Conservation of Energy Ball Problem

[clairez93]

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:
K_i + U_i = K_f + U_f

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.

 

[LowlyPion]

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:
K_i + U_i = K_f + U_f

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?