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Calculate the power transfer when a pump moves 50kg of water through a vertical height of 8meters in 5seconds (take g =10meters per second)​

Respuesta :

leena

Hi there!

Recall the following relationships:

[tex]W = \Delta U = mg\Delta h\\\\P = \frac{W}{t}[/tex]

W = Work (J)

U = Potential Energy (J)

m = mass (kg)

g = acceleration due to gravity (9.8 m/s²)

h = height (m)

t = time (s)

Begin by calculating the work:

[tex]W = 50(10)(8) = 4000 J[/tex]

Now, divide by the time to solve for power:

[tex]P = \frac{4000}{5} = \boxed{800W}[/tex]

**W is the unit for power (Watts).  Be careful not to get the two confused.