the bob of a simple pendulum is imparted a velocity of 4m/s at its mean position. calculate the maximum vertical height reached by the pendulum in its extreme position when (a) there is no loss of energy (b) there is a 50% loss of energy due to air friction
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When it is at mean position it will have a K.E of 0.5mv
2
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K.E=0.5×m×5×5=12.5×m J
60 % of this K.E is lost hence remaining is equal to (40/100)12.5×m=5m
P.E=mgh=5×m
h=5/g=5/10=0.5m
Hence it goes to a height of 0.5m.
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