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Problem   1 A11kg   block   starts   from   rest   at   22m   height   and   slides   down   a   frictionless   sem

Problem   1
A11kg   block   starts   from   rest   at   22m   height   and   slides   down   a   frictionless  
semicircular   track.Block   collides   with   50   kg   stationary   object   at   the   bottom   of   the  
track,   if   objects   stick   together   after   collision.   What   is   the maximum   height   block-
object   system   could   reach?
i)Draw   a   sketch   of   the   collision
ii)Write   expression   for   initial   energy   of       the   falling   block
iii)Write   final   energy   of   falling   block
iv)Set   the   expressions   equal   and   solve   for   velocity
v)Write   the   expression   of   momentum   before   collision
vi)Write   the   expression   of   momentum   after   collision   and   equate   tem.
vii)Find   final   velocity   of   the   system   after   collision
viii)Write   the   expression   of   energy   of   the   system   just   after   collision
ix)Write   the   expression   of   the   energy   of   the   block   –object   system   after   it  
rises   to   a   height   (system   stops   for   a   moment   at   this   height   and   then  
starts   falling   back)
x)Equate   these   energies   to   solve   for   the   height       it   rises   to   before   falling  
back   again.

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