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Questions  

A sand bag of mass ‘m’ is suspended from a long string. A bullet of mass m20 moving with a horizontal velocity ‘V’ strikes it and gets embedded into it. Calculate the velocity gained by the bag in this process. Also calculate the fraction of energy lost in this process

a
V21&2022
b
V19&2021
c
V24&1820
d
V21&2021

detailed solution

Correct option is D

Mass of sand bagm1=m Mass of bullet m1=m20horizontal velocity =‘V’from law of conservation of momentumm20V=(m1+m2)V'⇒V'=V21The fraction of energy lostKEi−KEfKEi=m1m1+m2=mm+m20=2021

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