Physics-
General
Easy

Question

Two persons of mass m1 and m2 are standing at the two ends A and B respectively, of a trolley of mass M as shown.

When both the persons jump simultaneously with urel with respect to the trolley, then the velocity of the trolley is

  1. fraction numerator open vertical bar m subscript 1 end subscript minus m subscript 2 end subscript close vertical bar u subscript r e l end subscript over denominator m subscript 1 end subscript plus m subscript 2 end subscript plus M end fraction    
  2. fraction numerator open vertical bar m subscript 1 end subscript minus m subscript 2 end subscript close vertical bar u subscript r e l end subscript over denominator M end fraction    
  3. open vertical bar fraction numerator m subscript 1 end subscript u subscript r e l end subscript over denominator m subscript 2 end subscript plus M end fraction minus fraction numerator m subscript 2 end subscript u subscript r e l end subscript over denominator m subscript 1 end subscript plus M end fraction close vertical bar    
  4. none of these    

The correct answer is: fraction numerator open vertical bar m subscript 1 end subscript minus m subscript 2 end subscript close vertical bar u subscript r e l end subscript over denominator m subscript 1 end subscript plus m subscript 2 end subscript plus M end fraction

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