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NEET Sample Paper NEET Sample Test Paper-3

  • question_answer
    A particle of mass \[0.1\,kg\] is subjected to a force which varies with distance as shown in figure. If it starts its journey from rest at \[x=0,\] its velocity at \[X=12cm\] is:

    A)       \[0\,m/s\]                           

    B)  \[20\,\sqrt{2}\,m/s\]

    C)  \[20\,\sqrt{3}\,m/s\]                    

    D)  \[40\,m/s\]

    Correct Answer: D

    Solution :

        Area of curve between the force and displacement axis \[=\frac{1}{2}\times (12+4)\times 10=80J\] In this time, body acquires the kinetic energy             \[=\frac{1}{2}m{{V}^{2}}\] By the law of conservation of energy                         \[w=\Delta ke\]                 \[\Rightarrow \]               \[\frac{1}{2}m{{V}^{2}}=80\,J\]                 \[\Rightarrow \]               \[\frac{1}{2}\times 0.1\times {{V}^{2}}=80\]                 \[\Rightarrow \]               \[V=40\,m/s\]


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