Answer to Question #5743 in Mechanics | Relativity for

Question #5743
A 38 kg child on a 1.4 m long swing is released 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
1
Expert's answer
2011-12-22T08:28:27-0500
Let's make following denominations:

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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