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

  • question_answer
    Two boxes, one of mass 20 kg and the other of mass 40 kg, are sliding down a frictionless inclined plane that makes an angle of \[30{}^\circ \] with the horizontal. The respective acceleration in \[\text{m}/{{\text{s}}^{\text{2}}}\] are

    A) \[\text{9}\text{.8},\text{9}\text{.8}\]             

    B)         \[\text{4}\text{.9},\text{9}\text{.8}\]

    C) \[\text{9}\text{.8},\text{4}\text{.9}\]             

    D)         \[\text{4}\text{.9},\text{4}\text{.9}\]  

    Correct Answer: D

    Solution :

     The acceleration in bodies sliding on a frictionless inclined plane does not depend upon the mass of the body. It is given by\[g\sin \theta \]. Thus acceleration in both the bodies must be same. Now there are only two such options, [a] and [d]. But acceleration of a body on an inclined plane cannot be equal to\[g\]. So the correct option has to be [d]. It can also be calculated easily by the formula\[g\sin \theta =9.8\times \frac{1}{2}=\mathbf{4}\cdot \mathbf{9}\]


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