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Two equal masses are attached to the two...

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)`

Text Solution

Verified by Experts

The correct Answer is:
D

Work done on both block are the same and total work done by spring is `- (1)/(2) kx^(2)`
Hence on each block `- (1)/(4) kx^(2)`.
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Knowledge Check

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

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