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