Calculating Final Velocity of a Bowling Ball

AI Thread Summary
To calculate the final velocity of a bowling ball with a mass of 3.2 kg and an initial speed of 8.1 m/s, the coefficient of kinetic friction is 0.32. The discussion highlights the use of both Conservation of Momentum and Conservation of Energy principles, but suggests that the work-energy theorem may provide a more straightforward approach. Participants express confusion about the application of momentum conservation in this context. Ultimately, the focus is on determining the final velocity once the ball transitions from sliding to rolling without slipping. The conversation emphasizes finding an efficient method for the calculation.
ctwokay
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Homework Statement



A spherical bowling ball with mass m = 3.2 kg and radius R = 0.112 m is thrown down the lane with an initial speed of v = 8.1 m/s. The coefficient of kinetic friction between the sliding ball and the ground is μ = 0.32. Once the ball begins to roll without slipping it moves with a constant velocity down the lane.

Q:What is the magnitude of the final velocity?



Homework Equations



Conservation of Momentum
Conservation of Energy

The Attempt at a Solution



Just want to check should i use both Conservation of Momentum and Conservation of Energy to find the final velocity?

Is there a shorter formula to find final velocity?
 
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hi ctwokay! :wink:
ctwokay said:
Just want to check should i use both Conservation of Momentum and Conservation of Energy to find the final velocity?

how can you use conservation of momentum? :confused:

use the work-energy theorem :smile:​
 
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