Answer:Assuming the mass of the spring is not changed, the frequency of the mass-spring system will increase if the length of the spring is cut into one third. This is because the frequency of a mass-spring system is inversely proportional to the square root of the length of the spring. Mathematically, the frequency (f) is given by:
f = 1 / (2π) x √(k/m)
where k is the spring constant and m is the mass of the system. Since the mass of the spring is not changing, if the length of the spring is cut into one third, the square root of the length will become √(1/3) = 0.577. Therefore, the frequency of the system will increase by a factor of 1/0.577, which is approximately 1.73 or √3.
Step-by-step explanation: