Hello!
The answer is:
The correct option is:
C. [tex]4.5x10^{3}N[/tex]
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:
[tex]Power(W)=F*V=N.\frac{m}{s}=\frac{N.m}{s}=1Watt[/tex]
So, we are given the following information:
[tex]Power=3.4x10^{2}W=340W=340\frac{N.m}{s}\\\\V=\frac{7.5x^{-2}m }{s}=\frac{0.075m}{s}[/tex]
Now, substituting and calculating we have:
[tex]Power(W)=F*V[/tex]
[tex]340\frac{N.m}{s}=F*\frac{0.075m}{s}[/tex]
[tex]F=\frac{340\frac{N.m}{s}}{\frac{0.075m}{s}}=4,533N=4.5x10^{3}N[/tex]
Hence, the correct option is:
C. [tex]4.5x10^{3}N[/tex]
Have a nice day!
