Consider an unknown mass m fixed to a spring with spring constant k = 22.7 N/m. It is compressed to a maximum displacement from its equilibrium position by Dxi = 0.378 m as shown in the figure below. The spring and mass are then released and the mass is allowed to oscillate on a frictionless surface. It is observed to complete 11.0 oscillations in 18.5 s. What is its angular frequency of oscillation? What is the mass m fixed to the spring? What is the elastic potential energy stored in the spring when the mass is at its maximum displacement Dxi = 0.378 m? What will the speed of the mass be when it crosses the spring’s equilibrium position?

Consider an unknown mass m fixed to a spring with spring constant k = 22.7 N/m. It is compressed to a maximum displacement from its equilibrium position by Dxi = 0.378 m as shown in the figure below. The spring and mass are then released and the mass is allowed to oscillate on a frictionless surface. It is observed to complete 11.0 oscillations in 18.5 s. What is its angular frequency of oscillation? What is the mass m fixed to the spring? What is the elastic potential energy stored in the spring when the mass is at its maximum displacement Dxi = 0.378 m? What will the speed of the mass be when it crosses the spring’s equilibrium position?