While riding a chairlift, a 58 kg skier is raised a vertical distance of 366 m. By how many joules will the skier's gravitational potential energy increase when she reaches the top of the lift?
Question
While riding a chairlift, a 58 kg skier is raised a vertical distance of 366 m. By how many joules will the skier's gravitational potential energy increase when she reaches the top of the lift?
Solution
To calculate the increase in gravitational potential energy, we can use the formula:
Potential Energy (PE) = mass (m) * gravity (g) * height (h)
where:
- mass (m) is 58 kg,
- gravity (g) is approximately 9.8 m/s² (the acceleration due to gravity on Earth), and
- height (h) is 366 m.
Substituting these values into the formula, we get:
PE = 58 kg * 9.8 m/s² * 366 m
PE = 208,092.4 Joules
So, the skier's gravitational potential energy will increase by 208,092.4 Joules when she reaches the top of the lift.
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