At a local playground, a child on a swing has a speed of 3.2 m/s when the swing

Question

At a local playground, a child on a swing has a speed of 3.2 m/s when the swing is at its lowest point. a.) To what maximum vertical height (above the bottom of the swing) does the child rise, assuming he sits still and "coasts"? m b.) During the trip from the lowest to the highest point of the swing, how much work is done on the child/swing by the tension ? J c.) Re-answer part a, with the initial speed of the child being half as much. (Recommended: Try doing this with proportionalities only.) m

Explanation / Answer

V=(2*g*H)0.5

a) H= 0.5219 meter

b) Work done is zero as tension is always perpendicular to motion.

c) H=0.13 meter

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