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
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
