Question

A water pump with a power of 3.4 × 102 watts lifts water at the rate of 7.5 × 10-2 meters/second from a water tank. What is the force exerted by the pump on the water?

A.
1.5 × 103 newtons
B.
2.2 × 103 newtons
C.
4.5 × 103 newtons
D.
5.4 × 103 newtons

Answer 1

C. 4.5 × 103 newtons on Plato

Answer 2

Hello!

The answer is:

The correct option is:

C.
`4.5x10^(3)N`

Why?

To calculate the force exerted by the pump, we must remember the formula to calculate power, also, we must remember that power means work done in a determined period of time.

We have that power can be calculated by the following equation:

`Power(W)=F*V=N.(m)/(s)=(N.m)/(s)=1Watt`

So, we are given the following information:

`Power=3.4x10^(2)W=340W=340(N.m)/(s)\\\\V=(7.5x^(-2)m )/(s)=(0.075m)/(s)`

Now, substituting and calculating we have:

`Power(W)=F*V`

`340(N.m)/(s)=F*(0.075m)/(s)`

`F=(340(N.m)/(s))/((0.075m)/(s))=4,533N=4.5x10^(3)N`

Hence, the correct option is:

C.
`4.5x10^(3)N`

Have a nice day!