A man of mass m stands on a plane plank of mass ( m 2 ) , lying on a smooth horizontal…

Physics · JEE Advanced · NTA ExamsLaws of Motion

A man of mass m stands on a plane plank of mass \(\left(\frac{\mathrm{m}}{2}\right)\), lying on a smooth horizontal floor. Initially both are at rest. Then the man starts walking on the plank towards the east and stops after a distance l on the plank. Then :
  1. the plank will slide to the west by a distance l/3
  2. the planks will continue to move towards the west over the smooth floor.
  3. the plank will slide to the west by \(\left(\frac{2}{3}\right)\)l and then stop
  4. none of the above

Answer

(C) the plank will slide to the west by ( 2 3 ) l and then stop

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