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A particle is acted upon by a force for ...

A particle is acted upon by a force for 1 second whose X component remains constant at `F_(x) = 30 N` but y and z components vary with time as shown in the graph. Calculate the magnitude of change in momentum of the particle in 1 s. What angle does the change in momentum `(Delta vec(P))` make with X axis ?

Text Solution

Verified by Experts

The correct Answer is:
`Deltap=10sqrt(29)Ns; theta = cos^(-1)((3)/(sqrt(29)))`
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Knowledge Check

  • A particle which is initially at rest at the origin, is subjection to an acceleration with x- and y- components as shown. After time t=5 , the particle has no acceleration. What is the magnitude of velocity of the particle at t=2 seconds ?

    A
    `10sqrt(5)m//s`
    B
    `5sqrt(10)m//s`
    C
    `5sqrt(5)m//s`
    D
    None of these
  • A particle which is initially at rest at the origin, is subjection to an acceleration with x- and y- components as shown. After time t=5 , the particle has no acceleration. What is the magnitude of average velocity of the particle between t=0 and t=4 seconds ?

    A
    `(5)/(2)sqrt(13)m//s`
    B
    `(5)/(2)sqrt(17)m//s`
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  • X- component of vec(a) is twice of its Y- component. If the magnitude of the vector is 5sqrt(2) and it makes an angle of 135^(@) with z-axis then the components of vector is:

    A
    `2sqrt(3), sqrt(3), -3`
    B
    `2sqrt(6), sqrt(6), -6`
    C
    `2sqrt(5), sqrt(5), -5`
    D
    None of these
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