NEET Sample Paper NEET Sample Test Paper-42

  • question_answer
    A motor car is moving with speed 30m/s on a circular path of radius 500m. Its speed is increasing at the rate of\[2m/{{s}^{2}}\]. What will be its resultant acceleration?

    A) \[2.5m/{{s}^{2}}\]      

    B)   \[2.7m/{{s}^{2}}\]

    C) \[2m/{{s}^{2}}\]                     

    D) \[4.5m/{{s}^{2}}\]

    Correct Answer: B

    Solution :

    \[{{\operatorname{a}}_{c}}=\frac{{{v}^{2}}}{r}\] \[{{\operatorname{a}}_{c}}=\frac{30\times 30}{500}=\frac{9}{5}=1.8m/{{s}^{2}}\] \[{{\operatorname{a}}_{\operatorname{t}}}=2m/{{s}^{2}}\] \[{{\operatorname{a}}_{ne\operatorname{t}}}=\sqrt{{{\left( 1.8 \right)}^{2}}+{{\left( 2 \right)}^{2}}}=\sqrt{7.24}\simeq 2.7m/{{s}^{2}}\]


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