Power problem, need some advice/help

  • Thread starter Diggidy
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In summary, Tom's boat is sinking due to water coming in at a rate of 14.0 liters per minute. However, he has a pump with a power of 5.0W that can pump water over the high side of the boat. The solution involves using the density of water and the height of the water lift to calculate the potential gravitational energy. By using the equation P = M * G * H / T, the problem can be solved and the boat can stay afloat.
  • #1
Diggidy
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Homework Statement



Tom's boat is sinking. Water is comming in at a rate of 14.0 liters per minute. He has a pump with a power of 5.0W that pumps water over the high side of the boat. Does the boat sink or stay afloat?


Homework Equations



Not sure, sorry.

The Attempt at a Solution



I believe you need the denisty of water to figure out the mass, and then figure out the Potential gravitational energy, but there is no volume for the boat given so I am clueless to finding the mass.
 
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  • #2
You are on the right track. It takes some energy to pick up the water and lift it over the side of the boat. You need the height of the water lift (is that given to you, or are you just supposed to assume some height?), and then figure out how much water per second the 5W let's you lift over that height.
 
  • #3
I actually got the problem.

I had changed the problem because it was a homework problem and I didn't want to feel like I cheeted, and in the process of changing number I forgot to readd the height of the boat.

Basically what I did was changed the the 14L/M into Kg/S and used the equation

P = M * G * H (Gravitational potential) / T

Got the right answer, without help! I guess doing physics at night is a bad thing, because my creative thinking is non existant, so figuring out a word problem, obviously, is not going to go so well. Thanks.
 

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