A man of mass m moves with a constant speed on a plank of mass M and length l kept…

Physics · JEE Advanced · NTA ExamsLaws of Motion

A man of mass m moves with a constant speed on a plank of mass M and length l kept initially at rest on a frictionless horizontal surface, from one end to the other in time t. The speed of the plank relative to ground while man is moving, is
  1. \(\frac{\ell}{t}\left(\frac{\mathrm{M}}{\mathrm{~m}}\right)\)
  2. \(\frac{\ell}{\mathrm{t}}\left(\frac{\mathrm{~m}}{\mathrm{~m}+\mathrm{M}}\right)\)
  3. \(\frac{\ell}{\mathrm{t}}\left(\frac{\mathrm{M}}{\mathrm{M}+\mathrm{m}}\right)\)
  4. none of these

Answer

(B) t ( ~m ~m + M )

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