1. A mass of 2.7 kg is attached to a spring and free to oscillate without friction. The observed frequency of vibration is 4.5 Hz. What will be the frequency of vibration when a new mass of 2.2 kg is attached to the same spring and set to vibrating?

2.A mass-spring system requires 295 joules of work to compress the spring by 15 cm. When released the maximum acceleration is observed to be 7.9 m/s². (a) Determine the speed as the mass passes through equilibrium.

3. A mass-spring system requires 2.2 joules of work to compress the spring by 24.4 cm. When released the maximum acceleration is observed to be 45 m/s². (a) Determine the value of the mass.