Initial Velocity of Bowling Ball in Physics Problem

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SUMMARY

The initial velocity of a 7kg bowling ball colliding with a stationary 2kg pin can be calculated using the principles of conservation of momentum. After the collision, the pin moves at 6m/s while the ball moves at 4m/s. Applying the conservation of momentum formula, the initial velocity of the bowling ball is determined to be 8m/s. This calculation confirms the momentum before and after the collision remains constant.

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A bowling ball with a mass of 7kg collision with a pin in rest with a mass of 2kg, after the collision the pin acquired a velocity of 6m/s and the ball continues with a velocity of 4m/s, both to the front. What was the initial velocity of the ball?
 
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uvburgos said:
A bowling ball with a mass of 7kg collision with a pin in rest with a mass of 2kg, after the collision the pin acquired a velocity of 6m/s and the ball continues with a velocity of 4m/s, both to the front. What was the initial velocity of the ball?
As I've said previously, please show your work.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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