✔ 最佳答案
The block will subsequently perform simple harmonic motion (SHM) about the equilibrium position.
In a SHM, the max acceleration occurs at the extreme positions, i.e. at the amplitudes.
Hence, max acceleration a = (w^2)A
where w is the nagular frequency of oscillation
A is the amplitude of the oscillation
In a spring-mass oscillation system, w = k/m
where k is the spring constant, and m is the mass of the block
thus, w = 12/0.1 s^-1 = 120 s^-1
IN a SHM, the max velocity V occurs at the equilibrium position, which is given by
V = w.A
thus, 0.5 = 120A
A = 0.5/120 m = 4.167 x 10^-3 m
Therefore, max acceleration a = (120)^2 x (4.167 x 10^-3) m/s2 = 60 m/s2