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On a frictionless horizontal surface , ...

On a frictionless horizontal surface , assumed to be the ` x-y` plane , a small trolley `A` is moving along a straight line parallel to the `y-`axis ( see figure) with a constant velocity of `(sqrt(3)-1) m//s ` . At a particular instant , when the line `OA` makes an angle of `45(@)` with the `x -` axis , a ball is thrown along the surface from the origin `O`. Its velocity makes an angle `phi` with the `x -` axis and it hits the trolley .
(a) The motion of the ball is observed from the frame of the trolley . Calculate the angle `theta` made by the velocity vector of the ball with the ` x-`axis in this frame .
(b) Find the speed of the ball with respect to the surface , if ` phi = (4 theta )//(3)`.

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The correct Answer is:
3
`3I^(-)+MnO_(2)+H_(2)SO_(4)to I_(3)^(-) uarr + Mn^(2+)+SO_(4)^(2-)+H_(2)S`
`I_(3)^(-) + "starch" to ` Blue color due to starch lodine complex
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Knowledge Check

  • A line makes an angle (pi)/(4) with each y-axis and z-axis. The angle that it makes with the x - axis is

    A
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    B
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