How many 25 cm stair steps would a 80 kg person need to climb to gain...

How many 25 cm stair steps would a 80 kg person need to climb to gain the same ammount of potential energy as provided by a can of coke wich has 140 calories.

Expert Solution

The potential energy at a height H is given by

where, m is the mass of the person, and g is the gravitational energy.

And if each stair step has a height h, then, let us assume that there are n steps. Then, we have H = nh. So, we have

And the energy stored in the can is

Converting this into the joule unit ( 1 cal = 4.2 joule), we get


And so, we get from the energy equivalent condition



Now given the values,

we get the number of steps

genius_generous answered 7 months ago

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