1. A Spring with a constant of IDDN/m vibrates at 25Hz. What is the frequency of vibration of a spring with a constant of 400 N/m? (5 points] 2. A 0.75 kg mass vibrates according to the equation x=0.65 cosl7.35t). Determine the alamplitude b] frequency c) period and d) spring constant {20 points} 3. An 80 cm simple pendulum makes 28 complete swings in 45 seconds on an unknown planet. What is the gravitational acceleration of the planet?[5 points} 4. What is the length of a simple pendulum used in a grandfather clock that has one second between its tick and its tock on Earth? [5 points} V. ASSESSMENT: 1. A pendulum is observed to complete 23 full cycles in 58 seconds. Determine the period and the frequency of the pendulum. 2. A mass is tied to a spring and begins vibrating periodically. The distance between its highest and its lowest position is 38 cm. What is the amplitude of the vibrations? 3. 3. 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 rn. Determine the period for one complete back and forth cycle. 4. A force of 1a N is required to stretch a spring a distance of 40 cm from its rest position. What force {in Newtons) is required to stretch the same spring 5. Perpetually disturbed by the habit of the backyard squirrels to raid his bird feeders, Mr. H decides to use a little physics for better living. His current plot involves equipping his bird feeder with a spring system that stretches and oscillates