Question

A child’s toy consists of a *m* = *36* g monkey
suspended from a spring of negligible mass and spring constant
*k*. When the toy monkey is first hung on the spring and the
system reaches equilibrium, the spring has stretched a distance of
*x* = *17.7* cm, as shown in the diagram. This toy is
so adorable you pull the monkey down an additional *d* =
*4.6* cm from equilibrium and release it from rest, and
smile with delight as it bounces playfully up and down. A)Calculate
the speed of the monkey, *v*_{e}, in meters per
second, as it passes through equilibrium. B)Derive an expression
for the total mechanical energy of the system as the monkey reaches
the top of the motion, *E*_{top}, in terms of
*m*, *x*, *d*, *k*, the maximum height
above the bottom of the motion, *h _{max}*, and the
variables available in the palette. C) Calculate the maximum
displacement,

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Express your answer using two significant figures.
?U=
0.49
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