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Find the work done by an external agent ...

Find the work done by an external agent in lowering a block of mass m slowly on a fixed light spring of stiffness k, till it comes to rest.

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To find the work done by an external agent in lowering a block of mass \( m \) slowly on a fixed light spring of stiffness \( k \) until it comes to rest, we can follow these steps: ### Step 1: Understanding the Forces Involved When the block is lowered slowly, the forces acting on it are: - The gravitational force \( F_g = mg \) acting downward. - The spring force \( F_s = kx \) acting upward, where \( x \) is the compression of the spring. ### Step 2: Setting Up the Equation of Motion ...
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