A 100 g football linebacker moving at 2 m/sgrabs and holds an 80 g halfbac runni

Question

   A 100 g football linebacker moving at 2 m/sgrabs and holds an 80 g halfbac running 3 m/s. Assume the twoplayers were initially running directly at one another. Neglecting the legality of the play and the effects due to diggingin of cleats: a) the halfback will drive the linebacer backward b)neither player will drive the other bacward c) this is asimple example of an elastic collision d) the linebacker will drivethe halfback backward..........finally with all in mind.........Iftwo identical masses are attached by a light cord passing over a mass-less, frictionless pulley of an Atwoods's machine, butat different heights, and then released, then a) a highermass will go down b) the lower mass will go down c) the motionwill depend on the amount of the masses d) the masses will notmove HELP !!!!!!!!!!!!!!!I AM CONFUSEDEXPLAIN!!!!!!!!!!!!
   A 100 g football linebacker moving at 2 m/sgrabs and holds an 80 g halfbac running 3 m/s. Assume the twoplayers were initially running directly at one another. Neglecting the legality of the play and the effects due to diggingin of cleats: a) the halfback will drive the linebacer backward b)neither player will drive the other bacward c) this is asimple example of an elastic collision d) the linebacker will drivethe halfback backward..........finally with all in mind.........Iftwo identical masses are attached by a light cord passing over a mass-less, frictionless pulley of an Atwoods's machine, butat different heights, and then released, then a) a highermass will go down b) the lower mass will go down c) the motionwill depend on the amount of the masses d) the masses will notmove HELP !!!!!!!!!!!!!!!I AM CONFUSEDEXPLAIN!!!!!!!!!!!!

Explanation / Answer

According to the law of conservation of momentum m1 * u1 + m2 * u2 = (m1 + m2) * V m1 = 100 g u1 = 2 m/s m2 = 80 g u2 = -3 m/s or V = [(m1 * u1 + m2 * u2)/(m1 + m2)] or V = [(100 * 2 + 80 * (-3)/(100 + 80)] or V = -(40/180) = -0.22 m/s The negative value of velocity indicates thatthe halfback will drive the linebackerbackward.

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