There are 151 steps between the ground floor and the sixth floor in a building. Each step is 16.7 cm tall. It takes 4 minutes and 43 seconds for a person with a mass of 71.2 kg to walk all the way up. How much work did the person do?

In this problem, we are asked to calculate the work done by a person walking up 151 steps in a building. The height of each step is given as 16.7 cm. The work done can be calculated using the formula: work = force x distance. The force can be calculated by multiplying the weight of the person by the acceleration due to gravity, and the distance is the total vertical height covered by the person.

First, we need to calculate the total distance covered by the person, which can be found by multiplying the step height by the number of steps. So the total vertical height covered is 16.7 cm x 151 = 2521.7 cm = 25.217 m.

Next, we calculate the force by multiplying the person's mass (71.2 kg) by the acceleration due to gravity (9.8 m/s²). So the force is 71.2 kg x 9.8 m/s² = 699.36 N.

Finally, we calculate the work done by multiplying the force by the distance: work = 699.36 N x 25.217 m = 17629.87 J.

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