Respuesta :

Answer:

0.0316 m

Explanation:

Wok done = Energy change

Work done on the spring = Energy change of the block

  Elastic Potential stored = Kinetic energy of the block

[tex]\frac{1}{2} kx^{2} = \frac{1}{2} mv^{2}[/tex]

                              x = [tex]\sqrt{v^{2}\frac{m}{k}  }[/tex]

                              x = [tex]\sqrt{1^{2}\frac{1}{1000}  }[/tex]

                              x = 0.0316 m

k = spring constant

m = mass of block

v = velocity of the block

x = compression of spring