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An isolated particle of mass m is moving...

An isolated particle of mass `m` is moving in horizontal plane` xy` along the `x`-axis, at a certain height above the ground. It suddenly explodes into two fragment of masses `m//4` and `3m//4`. An instant later, the smaller fragment is at `y=+15` cm. The larger fragment at this instant is at

Text Solution

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The correct Answer is:
`y=-5 cm`
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An isolated particle of mass m is moving in a horizontal plane (x-y), along the x-axis at a certain height above the ground. It suddenly explodes into two fragments of masses m//4 and 3m//4 . At instant later, the smaller fragment is at y = +5 cm . What is the position of larger fragment at this instant ?

[" An isolated particle of mass ' "m" ' is "],[" moving in horizontal plane "(x-y)" along "],[" the x-axis at a certain height above the "],[" ground.It suddenly explodes into two "],[" fragments of masses "(2m)/(5)" and "(3m)/(5)." An "],[" instant later,The smaller fragment is at "],[y=-15cm" .The longer fragment at "],[" this instant is at "],[[" (А) "y=-5cm],[" (С) "y=-10cm," (D) "y=+10cm]],[" (D) "y=+5cm]

Knowledge Check

  • An insulated particle of mass m is moving in a horizontal plane (x - y) along X-axis. At a certain height above the ground, it suddenly explodes into two fragments of masses m//4 and 3 m//4 . An instant later, the smaller fragment is at Y = + 15 . The larger fragment at this instant is at :

    A
    `Y = -5 cm`
    B
    `Y = + 20 cm`
    C
    `Y = + 5 cm`
    D
    `Y = -20 cm`
  • A body of mass 1 kg moving in the x-direction, suddenly explodes into two fragments of mass 1/8 kg and 7/8 kg. An instant later, the smaller fragment is 0.14 m above the x-axis. The position of the heavier fragment is:

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    1/510 m above x-axis
    B
    1/ 50 m below x-axis
    C
    7/50 m below x-axis
    D
    7/50 m above x-axis
  • A bomb is kept stationary at a point. It suddenly explodes into two fragments of masses 1 g and . The total K.E. of the fragments is 6.4xx10^(4)J . What is the K.E. of the smaller fragment

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    `2.5xx10^(4)J`
    B
    `3.5xx10^(4)J`
    C
    `4.8xx10^(4)J`
    D
    `5.2xx10^(4)J`
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