9th Class Science Force and laws of motion Question Bank MCQs - Force and Laws of Motion

  • question_answer
    A bullet of 20 g strikes a sand bag at a speed of 200 m/s and gets embedded after travelling 2 cm, then the resistive force exerted by sand on the bullet is

    A) \[2\times {{10}^{3}}\operatorname{N}\]         

    B) \[2\times {{10}^{4}}\operatorname{N}\]

    C) \[2\times {{10}^{6}}\operatorname{N}\]                    

    D) \[2\times {{10}^{5}}\operatorname{N}\]

    Correct Answer: B

    Solution :

    [b] Given, u = 200 m/s, v = 0, s = 0.02 m and
    m = 20 g = 20 \[\times \] \[{{10}^{-3}}\] kg
    From third equation of motion,
    \[{{v}^{2}}={{u}^{2}}+2as\Rightarrow a\frac{{{v}^{2}}-{{u}^{2}}}{2s}\]
    Negative sign indicates retardation
    \[\therefore \] Resistive force, F=ma
             =\[20\times {{10}^{-3}}\times {{10}^{6}}\]
             = \[2\times {{10}^{4}}\]N
     


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