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A constant force F equals m subscript 2 end subscript g divided by 2 is applied on the block of mass m subscript 1 end subscript as shown. The string and the pulley are light and the surface of the table is smooth. Find the acceleration of m subscript 1 end subscript.

  1. fraction numerator m subscript 2 end subscript g over denominator 2 m subscript 1 end subscript end fraction    
  2. fraction numerator m subscript 2 end subscript g over denominator 2 open parentheses m subscript 1 end subscript plus m subscript 2 end subscript close parentheses end fraction    
  3. fraction numerator 3 m subscript 2 end subscript g over denominator 2 open parentheses m subscript 1 end subscript plus m subscript 2 end subscript close parentheses end fraction    
  4. fraction numerator 3 m subscript 2 end subscript g over denominator 2 m subscript 1 end subscript end fraction    

The correct answer is: fraction numerator m subscript 2 end subscript g over denominator 2 open parentheses m subscript 1 end subscript plus m subscript 2 end subscript close parentheses end fraction

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