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Railways NTPC (Technical Ability) Engineering Mechanics and Strength of Materials Question Bank Engineering Mechanics

  • question_answer
    A ball falls from a height of 1 m, hits the ground and rebounds with half its velocity just before impact Then after rising it falls and hits the ground and again rebounds with half its velocity just before impact, and so on. The total distance travelled by the ball till it comes to rest on the ground is:

    A) 2 m                              

    B) 5/3 m

    C) 4/3 m               

    D) 5/4 m

    Correct Answer: B

    Solution :

    \[s=h\,\,(1+2{{c}^{2}}+2{{c}^{4}}+...)\] \[=h\,\left( 1+2{{c}^{2}}\times \frac{4}{3} \right)\] \[=\left[ 1+2\times {{\left( \frac{1}{2} \right)}^{2}}\times \frac{4}{3} \right]=\frac{5}{3}\,m\]


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