Final answer:
To find the amplitude of oscillation for an undamped spring oscillator, you can use the formula: Amplitude (A) = (mass of the object * acceleration due to gravity) / spring constant. Using the given values, the amplitude of oscillation is approximately 0.416 meters.
Step-by-step explanation:
To find the amplitude of oscillation for an undamped spring oscillator, we can use the formula:
Amplitude (A) = (mass of the object (m) * acceleration due to gravity (g)) / spring constant (k)
Given that the mass of the object (m) is 1.34 kg, the spring constant (k) is 31.9 N/m, and the acceleration due to gravity (g) is 9.8 m/s^2, we can substitute these values into the formula:
A = (1.34 kg * 9.8 m/s^2) / 31.9 N/m
Calculating this, we find that the amplitude of oscillation (A) is approximately 0.416 meters.