JEE Main & Advanced Physics NLM, Friction, Circular Motion Question Bank Second Law of Motion

  • question_answer
    An automobile travelling with a speed of \[60\,\,km/h,\] can brake to stop within a distance of 20 m. If the car is going twice as fast, i.e. 120 km/h, the stopping distance will be [AIEEE 2004]

    A)             20 m   

    B)             40 m

    C)             60 m   

    D)             80 m

    Correct Answer: D

    Solution :

                    The stopping distance, \[S\propto {{u}^{2}}\] \[(\because \ {{v}^{2}}={{u}^{2}}-2as)\]             Þ \[\frac{{{S}_{2}}}{{{S}_{1}}}={{\left( \frac{{{u}_{2}}}{{{u}_{1}}} \right)}^{2}}={{\left( \frac{120}{60} \right)}^{2}}=4\]             Þ \[{{S}_{2}}=4\times {{S}_{1}}=4\times 20=80\,m\]


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