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95 Amusement Ride You notice that your favorite
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amusement-park ride seems bigger The ride consists of a carriage that is attached to a structure so it swings like a pendulum You remember that the carriage used to swing from one position to another and back again eight times in exactly 1 min Now it only swings six times in 1 min Give your answers to the following questions to two significant digits a What was the original period of the ride b What is the new period of the ride c What is the new frequency d How much longer is the arm supporting the carriage on the larger ride e If the park owners wanted to double the period of the ride, what percentage increase would need to be made to the length of the pendulum
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88 What is the period of a pendulum with a length of
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the wavelength of yellow light The speed of light is 300 108 m/s
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frequencies between 550 kHz (kilohertz) and 1600 kHz and travel 30 108 m/s a What is the range of wavelengths for these signals b FM frequencies range between 88 MHz (megahertz) and 108 MHz and travel at the same speed What is the range of FM wavelengths
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96 Clocks The speed at which a grandfather clock runs
is controlled by a swinging pendulum a If you find that the clock loses time each day, what adjustment would you need to make to the pendulum so it will keep better time b If the pendulum currently is 150 cm, by how much would you need to change the length to make the period lessen by 00400 s
91 You are floating just offshore at the beach Even
though the waves are steadily moving in toward the beach, you don t move any closer to the beach a What type of wave are you experiencing as you float in the water b Explain why the energy in the wave does not move you closer to shore c In the course of 15 s you count ten waves that pass you What is the period of the waves d What is the frequency of the waves e You estimate that the wave crests are 3 m apart What is the velocity of the waves f After returning to the beach, you learn that the waves are moving at 18 m/s What is the actual wavelength of the waves
physicsppcom/chapter_test
97 Bridge Swinging In the summer over the New
River in West Virginia, several teens swing from bridges with ropes, then drop into the river after a few swings back and forth a If Pam is using a 100-m length of rope, how long will it take her to reach the peak of her swing at the other end of the bridge b If Mike has a mass that is 20 kg more than Pam, how would you expect the period of his swing to differ from Pam s c At what point in the swing is KE at a maximum d At what point in the swing is PE at a maximum e At what point in the swing is KE at a minimum f At what point in the swing is PE at a minimum
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98 You have a mechanical fish scale that is made with
a spring that compresses when weight is added to a hook attached below the scale Unfortunately, the calibrations have completely worn off of the scale However, you have one known mass of 5000 g that displaces the spring 20 cm a What is the spring constant for the spring b If a fish displaces the spring 45 cm, what is the mass of the fish
a Make a graph of the force applied to the spring versus the spring length Plot the force on the y-axis b Determine the spring constant from the graph c Using the graph, find the elastic potential energy stored in the spring when it is stretched to 050 m
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