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March 25, 2017

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A firecracker in a coconut blows the coconut into three pieces. Two pieces of equal mass fly off south and west, perpendicular to each other, at 21m/s . The third piece has twice the mass as the other two.

What is the speed of the third piece?

What is the direction of the third piece?

  • physics - ,

    I would use conservation of momentum in the S and west direction.

    S direction
    M*21S+2M*v S=0

    so v in the South direction is -10.5
    so the same in th eEast direction
    v in the East Direction

    V=-10.5 E

    angle= arctan 10.5/10.5 or NE at velocity 10.5*sqrt2

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