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

  • question_answer
    A constant force (F) is applied on a stationary particle of mass (m). The velocity attained by the particle after a certain displacement will be proportional to

    A) \[\frac{1}{\sqrt{m}}\]                

    B) m

    C) \[\frac{1}{m}\]                         

    D) \[\sqrt{m}\]

    Correct Answer: A

    Solution :

    [a] As per Newton’s second law,
           \[F=ma\Rightarrow a\frac{F}{m}\]
    Using equation of motion,
    \[{{v}^{2}}={{u}^{2}}+2as\]
    \[\Rightarrow \ \ \ \ \ {{v}^{2}}=2\left( \ \frac{F}{m} \right)s\]                (\[\because \]u=0)
    \[v\propto \frac{1}{\sqrt{m}}\]


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