Two 0.65m -long pendulums hang side by side. The masses of the pendulum bobs are

Question

Two 0.65m -long pendulums hang side by side. The masses of the pendulum bobs are 65g and 80g. The lighter bob is pulled aside until its string is horizontal and is then released from rest. It swings down and collides elastically with the other bob at the bottom of its arc. To what height does the lighter bob rebound? Express your answer to two significant figures and include the appropriate units. h = To what height does the heavier bob rebound? Express your answer to two significant figures and include the appropriate units. h =

Explanation / Answer

momentum is conserved when the bob is horizontal energy=mgl this is converted to KE as it goes down mgl=0.5mv^2 v=root[2gl] again in collison momentum eqn 65g*v=80g*v'-65gv'' energy conservation 0.5*65g*v^2=0.5*65g*v'^2+0.5*80g*v''^2 solve for v and v'' and get the ht of each ball by energy eqns

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