Question

The stair stepper is a novel exercise machine that attempts to reproduce the work done against gravity by walking up stairs. With each step, Brad (of mass 60 kg) simulates stepping up a vertical distance of 0.2 m with this machine. If Brad exercises for 13 min per day with a stair stepper at a frequency of 50 steps per minute, what total work he does he do each day

Answer 1

W = 76518 J = 76.518 KJ

Step-by-step explanation:

First, we will find the total number of steps taken by Brad, as follows:

`No.\ of\ steps = n = (13\ min)(50\ steps/min) = 650\ steps\\`

Now, we will calculate the height covered while covering these number of steps:

`Height\ Covered = H = (n)(Height\ for\ 1\ step)\\\\H = (0.2\ m/step)(650\ steps)\\H = 130\ m`

Now, we will calculate the amount of work done while covering this distance:

`Work = W = mgH = \\W = (60\ kg)(9.81\ m/s^2)(130\ m)`

W = 76518 J = 76.518 KJ