Related Questions

    1.

    1 kg body explodes into three fragments. The ratio of their masses is 1:1:31:1:3. The fragments of same mass move perpendicular to each other with speeds β€…β€Š30msβˆ’1\;30{\rm{m}}{{\rm{s}}^{ - 1}}, while the heavier part remains in the initial direction. The speed of heavier part is

    A

    102msβˆ’1\frac{{10}}{{\sqrt 2 }}{\rm{m}}{{\rm{s}}^{ - 1}}

    B

    102β€…β€Šmsβˆ’110\sqrt 2 {\rm{\;m}}{{\rm{s}}^{ - 1}}

    C

    202β€…β€Šmsβˆ’120\sqrt 2 {\rm{\;m}}{{\rm{s}}^{ - 1}}

    D

    302β€…β€Šmsβˆ’130\sqrt 2 {\rm{\;m}}{{\rm{s}}^{ - 1}}

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    4.

    A body of mass 1000 kg is moving horizontally with a velocity β€…β€Š50β€…β€Šmsβˆ’1\;50\;{\rm{m}}{{\rm{s}}^{ - 1}}. A mass of 250 kg is added. Find the final velocity

    A

    40β€…β€Šmsβˆ’140\;{\rm{m}}{{\rm{s}}^{ - 1}}

    B

    23β€…β€Šmsβˆ’123\;{\rm{m}}{{\rm{s}}^{ - 1}}

    C

    12β€…β€Šmsβˆ’112\;{\rm{m}}{{\rm{s}}^{ - 1}}

    D

    32.5β€…β€Šmsβˆ’132.5\;{\rm{m}}{{\rm{s}}^{ - 1}}

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    6.

    A 5 kg stationary bomb is exploded in three parts having mass 1:1:31:1:3 respectively. Parts having same mass move in perpendicular directions with velocity 39 β€…β€Šmsβˆ’1\;{\rm{m}}{{\rm{s}}^{ - 1}}, then the velocity of bigger part will be

    A

    102β€…β€Šmsβˆ’110\sqrt 2 {\rm{\;m}}{{\rm{s}}^{ - 1}}

    B

    102β€…β€Šmsβˆ’1\frac{{10}}{{\sqrt 2 {\rm{\;}}}}{\rm{m}}{{\rm{s}}^{ - 1}}

    C

    132β€…β€Šmsβˆ’113\sqrt 2 {\rm{\;m}}{{\rm{s}}^{ - 1}}

    D

    152β€…β€Šmsβˆ’1\frac{{15}}{{\sqrt 2 {\rm{\;}}}}{\rm{m}}{{\rm{s}}^{ - 1}}

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