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A ball is dropped from a height h on a f...

A ball is dropped from a height h on a floor. The coefficient of restitution for the collision between the ball and the floor is e. The total distance covered by the ball before it comes to the rest.

A

`((1+e^2)/(1-e^2))h`

B

`((1-e^2)/(1+e^2))h`

C

`((1+e)/(1-e^2))h`

D

`((1+e^2)/1)h`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • A ball is dropped from a height h onto a floor and rebounds to a height h//6 . The coefficient of restitution between the ball and the floor is

    A
    `(1)/(2)`
    B
    `(1)/(4)`
    C
    `(2)/(3)`
    D
    `(1)/sqrt(6)`

  • A ball is dropped from a certain height on a horizontal floor. The coefficient of restitution between the ball and the floor is (1)/(2) . The displacement time graph of the ball will be.

    A
    .
    B
    .
    C
    .
    D
    .

  • A ball is dropped from a height 'h' on to a floor of coefficient of restitution 'e'. The total distance covered by the ball just before second hit is

    A
    `h(1- 2e^(2))`
    B
    `h(1 + 2e^(2))`
    C
    `h(1 + e^(2))`
    D
    `he^(2)`
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