Solving for Ball Speed at Lowest & Highest Point of Arc

AI Thread Summary
The discussion focuses on calculating the ball's speed at the lowest and highest points of its swing using potential and kinetic energy equations. The initial calculations yielded a speed of 1.52 m/s at the lowest point, but the user received an error from the computer. A correction was made regarding the conversion of units, specifically ensuring that 118 cm is accurately represented as 1.18 m. The user expresses gratitude for the clarification, indicating a resolution to the confusion. Accurate unit conversion is crucial for solving physics problems effectively.
Trekky0623
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The string in the Figure is L = 118.0 cm long and the distance d to the fixed peg P is 99.1 cm. When the ball is released from rest in the position shown, it will swing along the dashed arc. How fast will it be going when it reaches the lowest point in its swing? What about the highest in its circular arc?

prob02a.gif

Relevant equations

PE = m * g * h
KE = (1/2)m * v2
Attempt
PE = m * g * h
PE = m * 9.8 m/s2 * .118 m
PE = KEBOTTOM = (1/2)m * v2
v2 = ((m * 9.8 m/s2 * .118 m)/((1/2)*m)))
v2 = ((9.8 m/s2 * .118 m)/(1/2))
v2 = 2 * 9.8 m/s2 * .118 m
v = SQRT(2 * 9.8 m/s2 * .118 m)
v = 1.52 m/s

I've only done this first part. I got 1.52 m/s, but the computer says I'm wrong. I was wondering if anyone could spot a problem in my equations.
 
Last edited:
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118 cm = 1.18 m. ehild
 
ehild said:
118 cm = 1.18 m.


ehild

Ah hah! Thank you so much. I feel silly.
 
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