Energy, Power, Work related question

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SUMMARY

The discussion centers on calculating the speed of a 0.25kg ball released from the bottom of a vertical circular path with a radius of 0.6m, after being rotated by a pitcher exerting a 50N force. The initial speed at the top of the circle is given as 20m/s. The energy conservation principle is applied, using the equations for kinetic energy (KE = 1/2mv^2) and potential energy (PE = mgh) to establish that energy at the top equals energy at the bottom. The final speed upon release is derived from the equation vf = sqrt((1/2mvi^2 + mgh - mgh)/m).

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This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of energy, work, and motion in circular paths.

alevis
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This isn't the actual problem given in the assignment. I've twisted it a bit because I want to see were I specifically go wrong in my calculations.
1. A pitcher rotates a 0.25kg ball around a vertcal circular path of radius 0.6m before releasing it. The pitcher exerts a 50N force directed parallel to the motion of the ball around the complete circular path. The speed of the ball at the top of the circle is 20m/s. If the ball is released at the bottom of the circle, what is the speed upon release?



2. KE = 1/2mv^2
PE = mgh
Energy at top = Energy at bottom.
1/2mvi^2+mgh = 1/2mvf^2+mgh.


3.vf = sqrt (1/2mvi^2+mgh-mgh)/m
 
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Welcome to PF!

Hi alevis! Welcome to PF! :smile:
alevis said:
A pitcher rotates a 0.25kg ball around a vertcal circular path of radius 0.6m before releasing it. The pitcher exerts a 50N force directed parallel to the motion of the ball around the complete circular path. The speed of the ball at the top of the circle is 20m/s. If the ball is released at the bottom of the circle, what is the speed upon release?

3.vf = sqrt (1/2mvi^2+mgh-mgh)/m

What about the work done by the pitcher? :wink:

(and you're missing a 2)
 
thanks a lot
 

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