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Conservation of Energy Ranking Task Six pendulums of various masses m are releas

ID: 1416778 • Letter: C

Question

Conservation of Energy Ranking Task Six pendulums of various masses m are released from various heights h above a tabletop, as shown in the figures below. All the pendulums have the same length and an mounted such that at the vertical position their lowest points are the height of the tabletop and just do not strike the tabletop when released. Assume that the size of each is negligible. Rank each pendulum on the basis of its initial gravitational potential energy (before being released) relative to the tabletop Rank from largest to smallest To rank items as equivalent, overlap them.

Explanation / Answer

here,

initial gravitational potential energy , PE = m * g * h

a)

PE1 = 2 * 0.6 * 9.8 = 11.76 J

b)

PE2 = 2 * 0.3 * 9.8 = 5.88 J

c)

PE3 = 0.6 * 1 * 9.8 = 5.88 J

d)

PE4 = 3 * 0.45 * 9.8 = 13.23 J

e)

PE5 = 4 * 0.3 * 9.8 = 11.76 J

f)

PE6 = 8 * 0.15 * 9.8 = 11.76 J

so, the ranking of pendulam according to the initial potential energy

PE4 > ( PE1 = PE6 = PE5) > ( PE2 = PE3)

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