Question reads; Two buckets of sand hang from opposite ends of a rope thatpasses

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Question reads; Two buckets of sand hang from opposite ends of a rope thatpasses over an ideal pulley. One bucket is full and weighs 120 N;the other bucket is only partly filled and weighs 63N. (a) Initially, you hold onto the lighter bucket to keep itfrom moving. What is tension in the rope? (b) You release the lighter bucket and the heavier onedescends. What is the tension in the rope now? (c) Eventually the heavier bucket lands and the two bucketscome to rest. What is the tension in the rope now? Help me to solve this question. Thank you in advance forthose who take the time to write me an reply for thisquestion! Question reads; Two buckets of sand hang from opposite ends of a rope thatpasses over an ideal pulley. One bucket is full and weighs 120 N;the other bucket is only partly filled and weighs 63N. (a) Initially, you hold onto the lighter bucket to keep itfrom moving. What is tension in the rope? (b) You release the lighter bucket and the heavier onedescends. What is the tension in the rope now? (c) Eventually the heavier bucket lands and the two bucketscome to rest. What is the tension in the rope now? Help me to solve this question. Thank you in advance forthose who take the time to write me an reply for thisquestion!

Explanation / Answer

(a)Initially, you hold onto the lighter bucket to keep it frommoving the tension T=120N =weight of heavier one (b) the acceleration of the system a=(120-63)*g/(120+63)=3.05 m/s2 2nd law of newton for 63N one T-63=63/g*a => T=82.6N (c)the tension in the rope now T=63 N 2nd law of newton for 63N one T-63=63/g*a => T=82.6N (c)the tension in the rope now T=63 N

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