6 pendulums of various masses, m are released from variousheights h above tablet

Question

6 pendulums of various masses, m are released from variousheights h above tabletop. All pendulums have same length andare mounted such that at vertical position lowest points are heightof tabletop and just do not strike tabletop when released. Size of each bob is negligible. Rank each pendulum on the basis of the maximum kinetic energy it attains after release. Pendulum 1 m=2 kg h = 60 cm Pendulum 2 m= 3 kg h= 45cm Pendulum 3 m= 1 kg h= 60 cm Pendulum 4 m = 2 kg h=30 cm Pendulum 5 m=8 kg h=15 cm Pendulum 6 m= 4 kg h=30 cm

Explanation / Answer

For all pendulums , by conservation of energy K.E. = m*g*h , here g = 9.8 m/s^2 on substituting values , K.E.1 = 11.76 J , K.E.2 = 13.23 J , K.E.3 = 5.88 J K.E.4 = 5.88 J , K.E.5 = 11.76 J , K.E.6 = 11.76 J on arranging , K.E.1 = K.E.5 = K.E.6 > K.E.2 > K.E.3 = K.E.4

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