In 1953 Sir Edmund Hillary and Tenzing Norgay made the first successful ascent of Mt. Everest. Part A How many slices of bread did each climber have to eat to compensate for the increase of the gravitational potential energy of the system climbers-Earth? (One piece of bread releases about 1.0×106J of energy in the body.) Assume that the height of Mt. Everest is 8850 m, the weight of a person is about 75 kg , and efficiency in converting the body's chemical energy into mechanical work is 11.0 %.

Respuesta :

Answer:

60

Explanation:

We start calculating the total work required to climb up the Everest.

The total energy would be,

[tex]W=mgh[/tex]

Where m is the mass of the person (75kG)

g is the gravitational force (9.8m/s^2)

h is the high (8850m)

[tex]W= (75)(9.8)(8850) = 6.5*10^6J[/tex]

From our problem we have that only 11% of chemical energy ([tex]\alpha[/tex])is converted to mechanical energy([tex]\Gamma[/tex]),

[tex]11\%\alpha = \Gamma[/tex]

For this situation,

[tex]\Gamma=W[/tex]

[tex]11\%\alpha = W[/tex]

[tex]\alpha = \frac{W}{11\%}[/tex]

[tex]\alpha = \frac{6.5*10^6} {11\%}[/tex]

[tex]\alpha = 59.1*10^{6}[/tex]

We know that only 1 piece of bread release [tex]1.0*10^6J[/tex], then

[tex]\eta * (1*10^6) = 59.1*10^{6}[/tex]

[tex]\eta = \frac{59.1*10^6}{1*10^6}[/tex]

[tex]\eta = 59.1[/tex]

Therefore it is necessary 60 breads