Answer:
7.4 cm
Explanation:
K = 2.17 x 10^3 N/m
m = 4.71 kg
v = 1.78 m/s (It is maximum velocity)
The angular velocity
[tex]\omega =\sqrt{\frac{k}{m}}[/tex]
[tex]\omega =\sqrt{\frac{2.71\times 10^{3}}{4.71}}[/tex]
ω = 24 rad/s
Maximum velocity, v = ω x A
Where, A be the maximum displacement
1.78 = 24 x A
A = 0.074 m = 7.4 cm