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Two equal masses are attached to the tw...

Two equal masses are attached to the two ends of a spring of spring constant k. The masses are pulled out symmetrically to stretch the spring by a length x over its natural length. The work done by the spring on each mass is

A

`1/2kx^2`

B

`-1/2kx^2`

C

`1/4kx^2`

D

`-1/4kx^2`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • Two equal masses are attached to the two ends of a spring of spring constant k . The masses are pulled a part symmetrically to stretch the spring by a length x over its natural length. The work done by the spring on each mass is.

    A
    `(1)/(2) kx^(2)`
    B
    `-(1)/(2) kx^(2)`
    C
    `(1)/(4) kx^(2)`
    D
    `- (1)/(4) kx^(2)`

  • An object of mass m, oscillating on the end of a spring with spring constant k has amplitude A. its maximum speed is

    A
    `A sqrt(k//m)`
    B
    `A^(2)k//m`
    C
    `A sqrt(m//k)`
    D
    `A m//k`

  • When a 20 g mass hangs attached to one end of a light spring of length 10 cm, the spring stretches by 2 cm. The mass is pulled down until the total length of the spring is 14 cm. The elastic energy, (in Joule) stored in the spring is :

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    `4xx10^(-2)`
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    D
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