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Waves Calculations Practice Problems V = XF Hooke's Law 1. If it takes a force of 32 N to stretch a rubber band 1 2cm, what is the equivalent spring constant of the band? BZN 0. 0 12m = 24 47 N /m 2. How much force is required to pull the cup of the rubber band in problem 1 3.0cm from its equilibrium point? 3. If a mass of 0.55 kg is attached to a vertical spring, the spring stretches 2.0cm from its original equilibrium position. What is its spring constant? Simple Harmonic Motion of a Pendulum 4. You are designing a pendulum clock to have a period of 1.0s. How long should the pendulum be? 5. A trapeze artist swings in simple harmonic motion on a trapeze with ropes 5m long. Calculate the period of the swing Simple Harmonic Motion of a mass-spring system 6. A 12.7 kg object vibrates with a period of 3.56s when hanging from a spring. What is the spring constant of the spring? 7. A spring of spring constant 30.ON/m is attached to a mass of 2.3kg. Find the period and frequency of the vibration