JEE Main & Advanced Physics Rotational Motion Question Bank Mock Test - Centre of Mass, Conservation of Linear Momentum and Collisions

  • question_answer
    Two objects that are moving along an \[xy\]-plane on a frictionless floor collide. Assume that they form a closed, isolated system. The following table gives some of the momentum components (in kilogram meters per second) before and after the collision. Before collision After collision
      Before collision After collision
    Object     \[{{p}_{x}}\]     \[{{p}_{Y}}\]     \[{{p}_{x}}\]    \[{{p}_{Y}}\]
    A -4 5 3 A
    B b -2 4 2
    What are the missing values (a, b)?

    A) 10, 11  

    B) 1, 11   

    C) 5, 7                 

    D) 6, 4

    Correct Answer: B

    Solution :

    [b]  \[{{p}_{x}}\] (before collision) = \[{{p}_{x}}\] (after collision) \[\Rightarrow -4+b=3+4\Rightarrow b=11\] \[{{P}_{Y}}\](before collision)=\[{{P}_{Y}}\](after collision) \[5-2=a+2\Rightarrow a=1\]


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