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Read the given passage and answer the fo...

Read the given passage and answer the following questions.
A small block of mass M = 1 kg moves on a frictionless surface of an inclined plane, as shown in the figure. The angle of the incline suddenly changes from `60^@` to `30^@` at point Q. The block is initially at rest at point P. Assume that there is no loss of energy for collisions between the block and the incline. (Take `"g = 10 m s"^(-2)`)

The speed of the block at point Q immediately before it strikes the second incline is

A

`sqrt60 m s^(-1)`

B

`sqrt45 m s^(-1)`

C

`sqrt30 m s^(-1)`

D

`sqrt15 m s^(-1)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • A small block of mass M moves on a frictionless surface of an inclined plane, as shown in the figure. The angle of the incline suddenly changes from 60^(@) to 30^(@) at point B . The block is many at rest at A . Assume that collisions between the block id the incline are totally inelastic. The speed of the block at point C , immediately before it leaves the second incline

    A
    `sqrt(120) m//s`
    B
    `sqrt(105) m//s`
    C
    `sqrt(90)m//s`
    D
    `sqrt(75) m//s`

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    A
    `sqrt(120) m//s`
    B
    `sqrt(105) m//s`
    C
    `sqrt(90) m//s`
    D
    `sqrt(75) m//s`

  • A small block of mass M move on a frictionless surface of an inclimed from as down is figure . The engle of the inclime suddenly change from 60^(@) to 30^(@) at point B . The block is initally at rest at A Assume the collsion between the block and the incline are totally inclassic (g = 10m//s^(2) ) The speed of the block at point B immedutaly after it strikes the second inclime is -

    A
    `sqrt(60) m//s`
    B
    `sqrt(45) m//s`
    C
    `sqrt(30) m//s`
    D
    `sqrt(15) m//s`

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