A 42.477 km child swings on a playground swing. If the swing hangs down 2.814 meters...
A 42.477 km child swings on a playground swing. If the swing hangs down 2.814 meters from the top bar, and the child swings out 20.88 degrees, what is the change in potential energy of the child?
Homework Answers
At 20.88º the swing seat is a vertical distance L below the top
bar
Cos20.88 = L/2.814 =====> L = 2.814*cos20.88 =====> L = 2.63
m
At 20.88º the seat is (2.814 - L) m vertically above it's rest
position = 0.184 m
The child's height above ground = 0.184 m
Gain in PE = mg ∆h = 42.477 x 9.8 x 0.184 ======> ∆PE
= 76.6 J
Add Answer to:
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