The energy used is B) 43,200 J
Explanation:
The power used by the blender is related to the energy in input by the equation
[tex]P=\frac{E_{in}}{t}[/tex]
where
P is the power
[tex]E_{in}[/tex] is the energy in input to the blender
t is the time interval
Since we know that
P = 300 W
t = 180 s
We can find that
[tex]E_{in}=Pt=(300)(180)=54,000 J[/tex]
However, we are said that the blender has an efficiency of 80%: this means that only 80% of the input energy is actually used to make the smoothie. Therefore, the energy used is
[tex]E = 0.80 E_{in} = (0.80)(54,000)=43,200 J[/tex]
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