There are 152 steps between the ground floor and the sixth floor in a building. Each step is 16.2 cm tall. It takes 3 minutes and 35 seconds for a person with a mass of 59.5 kg to walk all the way up. How much work did the person do?

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Physics

11 December, 05:16

There are 152 steps between the ground floor and the sixth floor in a building. Each step is 16.2 cm tall. It takes 3 minutes and 35 seconds for a person with a mass of 59.5 kg to walk all the way up. How much work did the person do?

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Carolina Ritter · Answer 1

14.4kJ

Explanation:

Work = Force x distance

W * h = mgh

Given that,

mass m, = 59.5kg

acceleration due to gravity = 9.8m/s^2

height, h = 16.2cm

convert to m is 0.162m

How much work = m x g x h

height is 0.162 x 152 steps

h = 24.624m

work = 59.5 x 9.8 x 24.624

= 14,358.25Joule

= 14.4kJ