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NEET Sample Paper NEET Sample Test Paper-77

  • question_answer
    Two balls of masses \[{{\operatorname{M}}_{1}}\,\,and\,\,{{M}_{2}}\] are placed on a horizontal frictionless table connected by a spring as shown in figure, how mass \[{{M}_{2}}\] is pulled to the right with a force F? If the acceleration of mass \[{{\operatorname{M}}_{1}}\] is a, then acceleration of mass \[{{M}_{2}}\] will be

    A)  \[\frac{F}{{{M}_{1}}}\]                                  

    B)  \[\frac{F-{{M}_{1}}\,a}{{{M}_{2}}}\]

    C)  \[\frac{F}{{{M}_{2}}}\]                                  

    D)  None of these

    Correct Answer: B

    Solution :

    Force acting on mass \[{{M}_{1}}\,\,is\,\,f={{M}_{1}}a\] Mass \[{{M}_{1}}\] will pull mass \[{{M}_{2}}\] towards left with a force \[\operatorname{F}={{M}_{1}}a\] Net force acting on mass \[{{\operatorname{M}}_{2}}\,\,=\,\,F-f=F-{{M}_{1}}-a\] \[\therefore \] Acceleration of mass \[{{M}_{2}}=\frac{F-{{M}_{1}}a}{{{M}_{2}}}\]


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