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Byju's Answer

Standard XII

Physics

Work Done When Force Is Varying

The spring is...

Question

The spring is compressed by a distance $a$ and released. The block again comes to rest when the spring is elongated by a distance $b .$ During this process:

work done by the spring on the block =

\frac{1}{2} k (a - b)^{2}

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work done by the spring on the block =

\frac{1}{2} k (a^{2} + b^{2})

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co-efficient of friction =

\frac{k (a - b)}{2 m g}

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co-efficient of friction =

\frac{k (a + b)}{2 m g}

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Solution

The correct options are
A work done by the spring on the block = $\frac{1}{2} k (a - b)^{2}$
C co-efficient of friction = $\frac{k (a - b)}{2 m g}$

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The spring is compressed by a distance a and released. The block again comes to rest when the spring is elongated by a distance b. During this process:

The correct options are A work done by the spring on the block = 12k(a−b)2 C co-efficient of friction = k(a−b)2mg

The spring is compressed by a distance $a$ and released. The block again comes to rest when the spring is elongated by a distance $b .$ During this process:

The correct options are
A work done by the spring on the block = $\frac{1}{2} k (a - b)^{2}$
C co-efficient of friction = $\frac{k (a - b)}{2 m g}$