Solving Tennis Serve Force w/ Constant Acceleration

AI Thread Summary
To determine the force acting on a tennis ball during a serve, the average power of 2672 Watts and the final velocity of 32.3 m/s are provided. The average velocity must be calculated as 16.15 m/s, not the final velocity, for accurate results. The relationship between power, force, and velocity is used to find the force. The correct approach involves using average values in the calculations. This method ensures an accurate determination of the force exerted on the ball during the serve.
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Homework Statement



During a tennis serve, the ball goes from rest to approximately 32.3 m/s. The average power generated during the serve is equal to 2672 Watts. If the acceleration is constant during the serve, what is the magnitude of the force acting on the ball?

Homework Equations



P= F v

The Attempt at a Solution


they give us the power generated which is 2672 Watts and final velocity to be 32.3 m/s. Do we just divide 2672 watts by 32.3 m/s?
 
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goonking said:

Homework Statement



During a tennis serve, the ball goes from rest to approximately 32.3 m/s. The average power generated during the serve is equal to 2672 Watts. If the acceleration is constant during the serve, what is the magnitude of the force acting on the ball?

Homework Equations



P= F v

The Attempt at a Solution


they give us the power generated which is 2672 Watts and final velocity to be 32.3 m/s. Do we just divide 2672 watts by 32.3 m/s?
No, the power given is average power, not instantaneous power.
 
PhanthomJay said:
No, the power given is average power, not instantaneous power.
i'm assuming we have to find the total time for this problem, correct?
 
goonking said:
i'm assuming we have to find the total time for this problem, correct?
No, you were on track with your solution using the relationship between power , force, and speed per your relevant equation. Except you used the final speed for v in error. Instead, what value should you use for v when you are dealing with average values?
 
PhanthomJay said:
No, you were on track with your solution using the relationship between power , force, and speed per your relevant equation. Except you used the final speed for v in error. Instead, what value should you use for v when you are dealing with average values?
ahh, the average velocity which is 32.3 - 0 / 2 = 16.15 m/s
 
goonking said:
ahh, the average velocity which is 32.3 - 0 / 2 = 16.15 m/s
Yes
 
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