HELP System of particles problem

AI Thread Summary
A 10kg dog walking 3m on a 20kg boat initially at rest raises a question about how much closer the dog gets to shore. The initial assumption is that the dog is simply 3m closer, but this overlooks the boat's movement due to the dog's weight. The conservation of momentum principle is applied, leading to a calculation that suggests the dog ends up 1m closer to shore after accounting for the boat's displacement. The solution involves equating the momentum before and after the dog's movement. The final answer indicates that the dog is 1m nearer to the shore.
Kudo Shinichi
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HELP!System of particles problem

Homework Statement


A 10kg dog walks 3m on a 20kg boat towards shore. How much nearer the shore does the dog end up if the boat was initially at rest.



The Attempt at a Solution


I am not really sure how to approach this problem. I think that the dog is 3 meters closer to the shore, because the boat stays at rest while the dog moves toward the shore...yet I think this is wrong because it is too simple as a physics problem...

Can anyone help me with this problem? thank you very much.
 
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hey, here's how i solved this question...not sure if its right. I think we're in the same class

Pi=Pf

m1v1=m2v2

v=d/t

(m2= 20kg + 10kg because the boat and the dog are the same mass once the dog stops moving)

10(3/t) = 30(d/t)

The t's then cross out

30=30d

d=30/30

d= 1.0m
 
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