I need some practice with these problems in Physics. I'm taking some extra work so I can study so I'm using a few practice problems. Please show the work and what the question states. The photos are where the questions are Refer to the attachments below to answer, thanks!!

Period of Simple Harmonic Oscillators Worksheet 1. If a spring constant is 40 N/m and an object hanging from it stretches it 0.50 m, what is the mass of the object? What is the period of the oscillation when the spring is set into motion? 2. A pendulum is observed to complete 32 full cycles in 56 seconds. a. Calculate the period. b. Calculate the frequency. c. Calculate the length. 3. A40 kg mass on a spring is stretched and released. The period of oscillation is measured to be 0.46 3. What is the spring constant? 4. A pair of trapeze performers at the circus is swinging from ropes attached to a large elevated platform. Suppose that the performers can be treated as a simple pendulum with a length of 16 m. Determine the period for one complete back and forth cycle. 5. A 0.50 kg object vibrates at the end of a spring (k = 82 N/m). What is the period of its vibration? 6. Find the length of a pendulum that has a period of 2.0 s. 7. A 0.70 kg object vibrates at the end of a horizontal spring (k = 75 N/m) along a frictionless surface. What is the frequency of the vibration? 8. Find the length of a pendulum that has a frequency of 0.80 Hz