Which is more likely to topple you - catching a ball or bouncing off

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Catching a ball is more likely to topple you than letting it bounce off, as catching transfers more momentum to your body. When the ball bounces off, the impact is shorter, resulting in less force acting on you. The physics behind this involves the change in momentum and the duration of contact; a longer contact time reduces the average force experienced. Therefore, catching the ball creates a greater risk of losing balance due to the increased force over a shorter time. In conclusion, the dynamics of momentum and force suggest that allowing the ball to bounce off is less destabilizing.
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Does this sound right?
You are standing on a log and a friend is trying to knock you off.
He throws the ball at you. You can catch it, or you can let it bounce off of you.
Which is more likely to topple you, catching the ball or letting it bounce off?
Briefly explain what physics you used to reach your conclusion. ----> I think catching the ball will be more likely to topple you because there is less momentum when the ball bounces off you than if you catch it, becasue the rest of the ball's velocity will "go onto you" thus making you topple over, generally speaking.
 
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Why would there be less momentum upon impact? Thinka bout it, as far as momentum goes, what's the difference if you catch it vs if you let it hit you (as long as you ignore the idea that you can "gently" catch a ball)? Whats the change in momentum in each situation and where does that energy it go in each case?
 
I think its letting it bounce off you is more likely to topple you, cos by catching it, you can increase the time of contact, and so the average force is less, since F = m(v-u)t, if m(v-u) is a constant, then the larger the time, the lower the average force.
btw, tried that equation thing, but failed...
 
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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