Physics-
General
Easy

Question

A mass M is suspended by two springs of force constantsK subscript 1 end subscript and K subscript 2 end subscript respectively as shown in the diagram. The total elongation (stretch) of the two springs is

  1. fraction numerator M g over denominator K subscript 1 end subscript plus K subscript 2 end subscript end fraction    
  2. fraction numerator M g left parenthesis K subscript 1 end subscript plus K subscript 2 end subscript right parenthesis over denominator K subscript 1 end subscript K subscript 2 end subscript end fraction    
  3. fraction numerator M g K subscript 1 end subscript K subscript 2 end subscript over denominator K subscript 1 end subscript plus K subscript 2 end subscript end fraction    
  4. fraction numerator K subscript 1 end subscript plus K subscript 2 end subscript over denominator K subscript 1 end subscript K subscript 2 end subscript M g end fraction    

The correct answer is: fraction numerator M g left parenthesis K subscript 1 end subscript plus K subscript 2 end subscript right parenthesis over denominator K subscript 1 end subscript K subscript 2 end subscript end fraction


    For series combination K subscript e q end subscript equals fraction numerator K subscript 1 end subscript K subscript 2 end subscript over denominator K subscript 1 end subscript plus K subscript 2 end subscript end fraction
    F equals K subscript e q end subscript x rightwards double arrow m g equals open parentheses fraction numerator K subscript 1 end subscript K subscript 2 end subscript over denominator K subscript 1 end subscript plus K subscript 2 end subscript end fraction close parentheses x rightwards double arrow x equals fraction numerator m g left parenthesis K subscript 1 end subscript plus K subscript 2 end subscript right parenthesis over denominator K subscript 1 end subscript K subscript 2 end subscript end fraction

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