What Is the Minimum Horsepower Required to Prevent a Ship from Sinking?

[pierra]

Homework Statement

In order to keep a leaking ship from sinking, it is necessary to pump 12.0 of water each second from below deck up a height of 1.50 and over the side.

What is the minimum horsepower motor that can be used to save the ship?

Homework Equations

W=F*d

1 horse power = 746w

The Attempt at a Solution

W=F*d
= mg*d
= (12*9.8)(1.50m)=176.4

176.4w(work) / 746w(horsepower) =0.23646..

p=0.236 hp

I can't see what did I do wrong. help me!

 

[Delphi51]

pierra, it looks like you found the Work rather than the power - better to start with a P = formula.
P = W/t = F*d/t would be a terrific start.
Convert the answer to horsepower.
You don't say what units the "12.0 of water" is in and I wonder if that is the trouble with the answer (if it is wrong). You'll need the amount of water in kg to put in for the mass.

 

[kerimek]

Your calculations and approach seem correct. However, it is important to note that this is a minimum horsepower problem and therefore, the minimum horsepower needed to save the ship may be different from the calculated value. There are other factors that can affect the minimum horsepower needed, such as the efficiency of the pump and the resistance of the water. It would be beneficial to consider these factors in order to determine the most accurate minimum horsepower for this situation. Additionally, it would be helpful to provide units for your final answer, such as "0.236 horsepower" or "0.236 hp."