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Two ice skaters A and B approach each ot...

Two ice skaters A and B approach each other at right angles. Skater A has a mass 30 kg and velocity 1 `"m.s"^(-1)`, skater B has a mass 20 kg and velocity `2"m.s"^(-1)`. They meet and cling together. Find the final velocity (in `"m.s"^(-1)`) of the couple.

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Knowledge Check

  • A particle of mass 1 kg has velocity vecv_(1)=(2t)hati and another particle of mass 2 kg has velocity vecv_(2)=(t^(2))hatj . Velocity of the centre of mass at 2 s

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    `(20)/(9)` unit
    B
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    C
    `(sqrt(80))/(3)` unit
    D
    none of these

  • A particle of mass 1 kg has velocity vecv_(1)=(2t)hati and another particle of mass 2 kg has velocity vecv_(2)=(t^(2))hatj . Net force on the centre of mass at 2 s

    A
    `(20)/(9)` unit
    B
    `sqrt(68)` unit
    C
    `(sqrt(80))/(3)` unit
    D
    none of these

  • Two particles of mass m_1 and m_2 approach each other due to their mutual gravitational attraction only then

    A
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    B
    accelerational of the particle of mass `m_1` is proportional to `m_1`
    C
    acceleration of the particle of mass `m_1` is proportional to `m_2`
    D
    acceleration of the particle of mass `m_1` is inversely proportional to `m_1`

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