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WARRIOR
3 months ago
6

The human heart is a powerful and extremely reliable pump. Each day it takes in and discharges about 7500 L of blood. Assume tha

t the work done by the heart is equal to the work required to lift this amount of blood a height equal to that of the average American female (1.63 m). The density (mass per unit volume) of blood is 1.05×103kg/m3.
Physics
1 answer:
Yuliya22 [3.3K]3 months ago
7 0

The responses are:

a) Work=125,923.61J

b) Power=1.46watt

Rationale:

It appears you neglected to record the questions for the problem, but to assist, I will attempt to complete it.

The questions are:

a) What work does the heart perform in a day?

b) How much power does it generate in watts?

Thus, solving we determine:

We must convert liters to cubic meters to utilize the provided information, hence:

1L=0.001m^{3}\\\\7500L*\frac{0.001m^{3} }{1L}=7.5m^{3}

Additionally, we need to determine the mass using the blood's density.

1050}\frac{kg}{m^{3}}*7.5m^{3}=7875kg

Now, calculating the work done by the heart in one day, we find:

Work=Fd=mgh\\\\Work=7875kg*9.81\frac{m}{s^{2}}*1.63m=125,923.61J

Finally, calculating the output power and its horsepower, we arrive at:

Power=\frac{Work}{time}\\\\Power=\frac{125,923.61J}{86,400s}=1.46watt

Have a nice day!

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