How much potential energy does Tim, with mass 64.0 kg, gain when he climbs a gymnasium rope a distance of 3.3 m?
Question
How much potential energy does Tim, with mass 64.0 kg, gain when he climbs a gymnasium rope a distance of 3.3 m?
Solution
To calculate the potential energy gained by Tim, we can use the formula for gravitational potential energy:
Potential Energy (PE) = mass (m) * gravity (g) * height (h)
where:
- mass (m) = 64.0 kg (given in the problem)
- gravity (g) = 9.8 m/s² (this is the acceleration due to gravity on Earth)
- height (h) = 3.3 m (given in the problem)
Now we can substitute these values into the formula:
PE = 64.0 kg * 9.8 m/s² * 3.3 m
PE = 2065.92 Joules
So, Tim gains 2065.92 Joules of potential energy when he climbs the gymnasium rope a distance of 3.3 m.
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