NEET Sample Paper NEET Sample Test Paper-9

  • question_answer
    A position dependent force, \[F={{X}^{2}}-3N,\] acts on a small body mass, 2 kg and displaces it from \[X=0\]to \[X=5m\] the work done is:

    A)  \[110\,J\]                    

    B)  \[\frac{80}{3}\,J\]

    C)  \[\frac{95}{3}\,J\]                 

    D)  zero

    Correct Answer: B

    Solution :

    As we know that, \[w=\int_{{{x}_{1}}}^{{{x}_{2}}}{F\,dx}\] \[=\int_{0}^{5}{({{x}^{2}}-3)dx=\left[ \frac{{{x}^{3}}}{3}-3x \right]}_{0}^{5}\] \[=\frac{125}{3}-15=\frac{80}{3}J\]

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