A 70-kg boy is sitting 3 meters from the ground in a tree. What is his gravitational potential energy? *Show all work and include units!
Question
A 70-kg boy is sitting 3 meters from the ground in a tree. What is his gravitational potential energy? *Show all work and include units!
Solution
Sure, here's how you can calculate the gravitational potential energy:
Step 1: Identify the mass (m), height (h), and gravitational constant (g). In this case, m = 70 kg, h = 3 m, and g = 9.8 m/s² (the acceleration due to gravity on Earth).
Step 2: Use the formula for gravitational potential energy, which is PE = mgh.
Step 3: Substitute the given values into the formula:
PE = (70 kg) * (9.8 m/s²) * (3 m) = 2058 Joules.
So, the gravitational potential energy of the boy is 2058 Joules.
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