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An elastic spring of unstretched length ...

An elastic spring of unstretched length `L` and force constant `K` is stretched by amoun t `x` .It is further stretched by another length `y` The work done in the second streaching is

A

`(1)/(2) ky^(2)`

B

`(1)/(2)k(x^(2)+y^(2))`

C

`(1)/(2)k(x+y^(2))`

D

`(1)/(2)ky(2x+y)`

Text Solution

Verified by Experts

The correct Answer is:
D
`W=(1)/(2)K(x+y)^(2)-(1)/(2)kX^(2)=(1)/(2)ky(2x+y)`
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Knowledge Check

  • An elastic spring of unstretched length L and force constant k is stretched by a small length x. It is further stretched by another small length y. The work done in the second stretching is

    A
    `1/2 ky^2`
    B
    `1/2 k(x^2 + y^2)`
    C
    `1/2 k(x + y)^2`
    D
    `1/2 ky (2x + y)`

  • An elastic string of unstretched length L and force constant k is stretched by a small length x. It is further stretched by another small length y. The work done in the second stretching is

    A
    `1//2 Ky^(2)`
    B
    `1//2 Ky(2x+y)`
    C
    `1//2 K(x^(2)+y^(2))`
    D
    `1//2 k (x+y)^(2)`

  • An elastic spring of unstretched length L and spring constant K is stretched by a small length x. It is further stretched by another small length y. the work done in second stretcing is

    A
    `(1)/(2) ky^(2)`
    B
    `(1)/(2) K (x^(2) + y^(2))`
    C
    `(1)/(2 Ky (2x + y))`
    D
    `(1)/(2) Ky (2x + y)`

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