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Comprehension # 5 One particle of mass...

Comprehension # 5
One particle of mass `1 kg` is moving along positive x-axis with velocity `3 m//s`. Another particle of mass `2 kg` is moving along y-axis with `6 m//s`. At time `t = 0, 1 kg` mass is at `(3m, 0)` and `2 kg` at `(0, 9m), x - y` plane is the horizontal plane. (Surface is smooth for question 1 and rough for question 2 and 3)
The centre of mass of the two particles is moving in a straight line for which equation is :

A

y = x+ 2

B

y = 4x+ 2

C

y = 2x-4

D

y = 2x+4

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Knowledge Check

  • Comprehension # 5 One particle of mass 1 kg is moving along positive x-axis with velocity 3 m//s . Another particle of mass 2 kg is moving along y-axis with 6 m//s . At time t = 0, 1 kg mass is at (3m, 0) and 2 kg at (0, 9m), x - y plane is the horizontal plane. (Surface is smooth for question 1 and rough for question 2 and 3) The centre of mass of the two particles is moving in a straight line which equation is :-

    A
    `y = x + 2`
    B
    `y = 4x + 2`
    C
    `y = 2x - 4`
    D
    `y = 2x + 4`

  • Comprehension # 5 One particle of mass 1 kg is moving along positive x-axis with velocity 3 m//s . Another particle of mass 2 kg is moving along y-axis with 6 m//s . At time t = 0, 1 kg mass is at (3m, 0) and 2 kg at (0, 9m), x - y plane is the horizontal plane. (Surface is smooth for question 1 and rough for question 2 and 3) Co-ordinates of centre of mass where it will stop finally are :-

    A
    `(2.0 m, 14.25 m)`
    B
    `(2.25 m, 10 m)`
    C
    `(3.75 m, 9 m)`
    D
    `(1.75 m, 12 m)`

  • Comprehension # 5 One particle of mass 1 kg is moving along positive x-axis with velocity 3 m//s . Another particle of mass 2 kg is moving along y-axis with 6 m//s . At time t = 0, 1 kg mass is at (3m, 0) and 2 kg at (0, 9m), x - y plane is the horizontal plane. (Surface is smooth for question 1 and rough for question 2 and 3) If both the particles have the same value of coefficient of friction mu = 0.2 . The centre of mass will stop at time t = ..........s :-

    A
    `1.5`
    B
    `4.5`
    C
    `3.0`
    D
    `2.0`

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