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A block of mass 2 kg is moving on a fric...

A block of mass 2 kg is moving on a frictionless horizontal surface with a velocity of `1m//s` towards another block of equal mass kept at rest. The spring constant of the spring fixed at one end is `100 N//m.` Find the rnaximum compression of the spring

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The correct Answer is:
`[10 cm]`
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Knowledge Check

  • A solid sphere of mass 2 kg is rolling on a frictionless horizontal surface with velocity 6 m//s . It collides on the free and of an ideal spring whose other end is fixed. The maximum compression produced in the spring will be (Force constant of the spring = 36 N/m)

    A
    `sqrt(14) m`
    B
    `sqrt(2.8) m`
    C
    `sqrt(14) m`
    D
    `sqrt(0.7) m`
  • A solid sphere of mass 2 kg is rolling on a frictional horizontal surface with velocity 6 m/s. It collides on the free end of an ideal spring whose other end in fixed. The maximum compression produced in the spring will be (Force constant of the spring is 36 N/m).

    A
    `sqrt(14) `m
    B
    `sqrt(2.8)` m
    C
    `sqrt(1.4)` m
    D
    `sqrt(0.7)` m
  • A block of mass 4 kg slides on a horizontal frictionless surface with a speed of 2m//s . It is brought to rest in compressing a spring in its path. If the force constant of the spring is 400 N//m , by how much the spring will be compressed

    A
    `2 xx 10^(-2)m`
    B
    `0.2 m`
    C
    `20m`
    D
    `200 m`
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    A 16kg block moving on a frictionless horiozntal surface with a velocity of 5cm^(-1) compreses an ideal spering and comes to rest. If the force constant of the spring be 100Nms^(-1) , then how much is the spring compressed?

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