Answer to Question #5743 in Mechanics | Relativity for
from rest when the swing supports make an
angle of 21.2 with the vertical.
The acceleration of gravity is 9.81 m/s2 .
a) What is the maximum potential energy
associated with the child?
Answer in units of J
α = 21.2°
L = 1.4 m
M = 38 kg
Now let's find the height a child moved up:
H = L*cosα = 1.4*cos(21.2) ≈ 1.3053 m.
So, the maximum potential energy of a child is
E = MgH = 38*9.81*1.3053 = 486.5723 J.
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