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

  • question_answer
    A particle moves in the x-y plane under the action of a force \[\overrightarrow{F}\] such that the value of its linear  momentum \[\overrightarrow{P}\] at any time t is \[{{p}_{X}}=2\] cos t and  the angle \[\theta \] between \[\overrightarrow{F}\] and \[\overrightarrow{P}\] at any time t will be

    A)  \[90{}^\circ \]                                    

    B) \[0{}^\circ \]

    C) \[180{}^\circ \]                 

    D)        \[30{}^\circ \]

    Correct Answer: A

    Solution :

     \[{{P}_{y}}\]components of the momentum is as below             \[{{P}_{y}}=2\sin t\]             \[P=\sqrt{P_{x}^{2}+P_{y}^{2}}=2\sqrt{2}\] So, \[P\] is independent of time. It means that the force acting on the particle is unable to change the magnitude of momentum. This is possible only when, force is always at right angles to the direction of momentum.


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