Answer:
 x = 0.537 m
Explanation:
In this exercise we are asked to find the distance that the spring is compressed, let's use the concepts of conservation of energy
   Â
starting point. Before touching the spring
     Em₀ = K = ½ m v²
final point. When the spring has maximum compression
     [tex]E_{f}[/tex] = [tex]K_{e}[/tex] = ½ k x²
as there is no friction the mechanical energy is conserved
     Em₀ = Em_f
     ½ m v² = ½ k x²
     x = [tex]\sqrt{\frac{m}{k} }[/tex]  v
let's calculate
     x = RA[tex]\sqrt{\frac{4.0}{125} }[/tex]  3.0
     x = 0.17888 3.0
     x = 0.537 m
Answer:
0.54
Explanation:
You round the original number with two significant digits
0.537 has to be 0.54
