Question

a block is attached with a spring and is moving towards a fixed wall with speed v. As the spring reaches the wall, it starts compressing. The work done by the spring on the ball during the process of compression is what?​

Answer 1

The work done by the spring on the ball during the process of compression is zero

Explanation:

The diagram is attached

If the mass of the block is m then the kinetic energy of the block will cause compression in the spring

if spring constant is k then

$\frac{1}{2}mv^2=\frac{1}{2}kx^2$

$\implies x=v\sqrt{\frac{m}{k}}$

But

Since after the impact, the displacement of the wall is zero

Therefore, the work done on the wall by the spring will be zero

(∵ We know that Work = Force × Displacement in the direction of the force)

Hope this answer is helpful.

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