Question

a. In the building there are 133 steps from the ground floor to the sixth floor.
Each step is 16.2 cm tall. It takes 6 minutes and 16 seconds for a person with a mass of m = 89.2 kg to walk all the way up. How much work did the person do?


b. What was the average power performed by the person during the walk?


c. How many food Calories did the person burn during the walk? (1 Cal = 4.1868 kJ. Do not enter unit for this part.)

Answer 1

(a) The work done by the person is 18.83465 kJ.

(b) The average power performed by the person during the walk is 51.4 W.

(c) The amount of food calories burnt is 4.5 Cal.

Work done by the person

The work done by the person is calculated as follows;

W = Fd

W = mgh

W = (89.2 x 9.8) x (0.162 x 133)

W = 18,834.65 J

W = 18.83465 kJ

Average power of the person

P = Fv

where;

• v is velocity

v = (d)/t

v = (133 x 0.162)/(6 x 60   +  6)

v = (133 x 0.162)/(366)

v = 0.0588 m/s

P = (89.2 x 9.8) x 0.0588

P = 51.4 W

Amount of food calories burnt

4.1868 kJ = 1 Cal

18.83465 kJ = ?

= 4.5 Cal

Learn more about work done here: https://brainly.com/question/8119756

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