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Skiing Down the Mountain of Potential Energy
Karmen is at the top of the mountain preparing to ski back down to the bottom. If her weight is 536 N and the the height of the mountain is 110 m, what is the amount of potential energy she is experiencing?
Oh, Karmen, you're about to unleash your inner speed demon on that mountain! But before you do, let's calculate that potential energy, shall we?
The formula for potential energy is: U = mgh, where m is your mass, g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the mountain.
We're given your weight, which is 536 N. To find your mass, we need to use the formula: F = mg, where F is your weight and g is the acceleration due to gravity. Rearranging the formula, we get: m = F / g = 536 N / (9.8 m/s^2) = 54.7 kg.
Now, plug in the values: U = mgh = 54.7 kg × 9.8 m/s^2 × 110 m = 59,113.6 J.
There you have it, Karmen! You're storing approximately 59,114 Joules of potential energy at the top of that mountain. Go forth and convert it into kinetic energy – and don't forget to wear your helmet!
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