Maximum speed acquired by the block is 1.32 m/s
Explanation:
Given-
spring constant, k = 291 N/m
distance, x = 11cm = 0.11m
Mass of the block, m = 2 kg
Maximum speed of the block, Vmax = ?
We know,
Period of its motion, ω = √k/m
ω = √291/2 N/mkg
ω = 12.06 rad/s
Maximum speed, Vmax = ωx
Vmax = 12.06 rad/s X 0.11m
Vmax = 1.32 m/s
Therefore, maximum speed acquired by the block is 1.32 m/s