Due to tides mean sea level off of Newport Beach reaches aheight of 1.3 meters during high

tide and 0.3 meters during low tide. Successive high tides occurevery 12 hours (43,200

seconds). A buoy with mass m = 40 kg is floating in the oceanoff of Newport Beach.

1) Relevant concepts/equations. (5 points.)

2) Assume we begin to measure the buoy’s displacement at Hightide which occurs exactly

at 12:00 am (0 seconds). Also assume we can model the buoy’sdisplacement as a simple

undamped oscillation. What is the amplitude and phase angle forthe buoy’s

displacement? (10 points)

3) During one half cycle of six hours (21600 seconds), thebuoy’s displacement passes

through an angle of 180 degrees. From this information, what isthe angular frequency ω of the buoy? (5 points)

4) Using your previous answer, what is the force constant ‘k’acting on the buoy? (5 points)

5) What is the maximum velocity of the buoy? What is the maximumacceleration of the

buoy? (10 points)

6) What is the energy of the buoy due to tidal displacement? (5points)

7) How much work is done during one low tide to high tide cycle?How much Power per

hour is required to accomplish this? (Assume g= 9.81m/s^2 ,compare your answer to a 65W light bulb which uses 65 watts perhour.)