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  4. A block is suspended by an ideal spring of force constant k. If the block is pulled down by applying a constant force F and if maximum displacement of the block from its initial position of rest is δ, then

Q. A block is suspended by an ideal spring of force constant . If the block is pulled down by applying a constant force and if maximum displacement of the block from its initial position of rest is , then

Work, Energy and Power Report Error

Solution:

Let the mass of the block hanging from the spring be . Then initial elongation of the spring will be equal to . When the force is applied to pull the block down, the work done by and further loss of gravitational potential energy of the block is used to increase strain energy of this spring.
...(i)
From Eq. (i),
Hence, option (2) is correct.
Since a constant force is applied on the block to pull it down, during this process, work done by force, .
Hence, option (3) is also correct.
Increase in energy of the spring is equal to

From this equation, increase in energy is not equal to .
Hence, option (4) is wrong.

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