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A projectile is fired with velocity u at...

A projectile is fired with velocity u at an angle `theta` with horizontal. At the highest point of its trajectory, it splits up into three segments of masses m, m and 2m. First part falls vertically downward with zero initial velocity and second part returns via same path to the point of projection. The velocity of third part of mass 2 m just after explosion will be

A

`u cos theta`

B

`(3)/(2) u cos theta`

C

`2u cos theta`

D

`(5)/(2) u cos theta`

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Knowledge Check

  • A projectile of mass 20 kg is fired with a velocity of 400m//s at an angle of 45^(@) with the horizontal .At the highest point of the trajectocy the projectile explodes into two fragments of equal mass,one of which falls vertically downward with zero initial speed, The distance of the point where the other fragment falls from the point offiring is:

    A
    24000 m
    B
    16000 m
    C
    32000 m
    D
    8000 m

  • A particle of mass m is projected with a velocity mu at an angle of theta with horizontal.The angular momentum of the particle about the highest point of its trajectory is equal to :

    A
    `("mu"^(3)sin^(2)thetacostheta)/(3g)`
    B
    `(3"mu"^(3)sin^(2)thetacostheta)/(3g)`
    C
    `("mu"^(3)sin^(2)thetacostheta)/(2g)`
    D
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  • A particle is projected with a velocity 200 m//s at an angle of 60^(@). At the highest point it explodes into three particle of equal masses. One goes vertically upward with a veloctiy 100m//s the second particle goes vertically downwards at same speed. What is the velocity of the third particle?

    A
    `200m//s` horizontally
    B
    `200m//s` with `30^(@)` angle
    C
    `200m//s` horizontally
    D
    `300m//s` horizontally

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