Solving for Ball Speed at Lowest & Highest Point of Arc

I fixed it and got 3.44 m/s = 3.4 m/s (rounded to one significant digit). In summary, the ball, released from rest from a position where the string is 118.0 cm long and the distance to the fixed peg is 99.1 cm, will swing along a dashed arc. Using the equations for potential energy and kinetic energy, the ball will reach a speed of 3.4 m/s at the lowest point in its swing and the same speed at the highest point in its circular arc.
  • #1
Trekky0623
6
0
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.
 
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  • #2
118 cm = 1.18 m. ehild
 
  • #3
ehild said:
118 cm = 1.18 m.


ehild

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

FAQ: Solving for Ball Speed at Lowest & Highest Point of Arc

1. What is the purpose of solving for ball speed at the lowest and highest point of arc?

The purpose of solving for ball speed at the lowest and highest point of arc is to determine the velocity of the ball at different points during its trajectory. This information can be used to analyze and improve techniques in sports such as basketball, golf, and baseball.

2. How is ball speed at the lowest and highest point of arc calculated?

Ball speed at the lowest and highest point of arc is calculated using the laws of motion and the principles of projectile motion. The initial velocity, angle of projection, and height of release are some of the factors that affect the calculation.

3. What is the significance of knowing the ball speed at the lowest and highest point of arc?

Knowing the ball speed at the lowest and highest point of arc allows for a better understanding of the flight of the ball and can help in predicting its trajectory. This information is also useful for coaches and athletes in improving their performance and techniques.

4. Can ball speed at the lowest and highest point of arc be measured in real-time?

Yes, ball speed at the lowest and highest point of arc can be measured in real-time using specialized equipment such as radar guns or high-speed cameras. This allows for accurate and immediate feedback for athletes and coaches.

5. How can knowing the ball speed at the lowest and highest point of arc impact game strategy?

Knowing the ball speed at the lowest and highest point of arc can impact game strategy by providing insight into the strength and weaknesses of an athlete's performance. It can also help in making strategic decisions such as when to shoot, pass, or adjust the angle of projection to achieve the desired outcome.

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