For the system shown in figure two springs are identical and have spring constant K- Friction coefficient between the block is - The mass of each block is m- By the time the two springs come in their natural lengths l- Which of the following statement id correct- Ground may be rough or smooth

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Standard XII

Physics

Problem Solving

For the syste...

Question

For the system shown in figure two springs are identical and have spring constant $K$ . Friction coefficient between the block is $μ$ . The mass of each block is $m$ . By the time the two springs come in their natural lengths ( $l$ ). Which of the following statement id correct? (Ground may be rough or smooth)

Work done by friction on block

A

is positive

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Work done by friction on block

B

is positive

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Work done by friction on system

A + B

is positive

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None of these

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Solution

The correct option is C Work done by friction on system $A + B$ is positive
when force F is applied on Block B in forward direction as shown in fig. Block A moves with block B in the direction of applied force.The frictional force ob Block A and displacement will be in forward direction, therefore work done in forward frictional force is positive
If we consider the reference frame of Block B,displacement of Block A is zero, and therefore work done by frictional force is Zero

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For the system shown in figure two springs are identical and have spring constant K. Friction coefficient between the block is μ. The mass of each block is m. By the time the two springs come in their natural lengths (l). Which of the following statement id correct? (Ground may be rough or smooth)