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A fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water. It takes a time of 2.90s for the boat to travel from its highest point to its lowest, a total distance of 0.630m . The fisherman sees that the wave crests are spaced a horizontal distance of 5.60m apart.A..How much is the wavelength?express your answers in 3 sig. fig.B. Find the period of the wave.3 sig. fig.C. How fast are the waves traveling?Express the speed v in meters per second using three significant figures.D. What is the amplitude A of each wave?Express your answer in meters using three significant figures

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MechEngineer

Answer:

A. 5.600 m

B. 5.800 s

C. 0.966 m/s

D. 0.315 m

Explanation:

A. The wavelength is the distance between 2 crests, which is 5.600 m

B. Period of the wave is the time for the wave to complete 1 circle (highest point to next highest point). Since it takes 2.9s to travel from highest point to lowest point, it would take another 2.9 to travel from lowest point to the next highest point. So the total time is 2.9 + 2.9 = 5.8 s,

C. The wavespeed is wavelength over unit of time:

5.6 / 5.8 = 0.966 m/s

D. The amplitude would be half the length of highest point to lowest point, which is 0.63 / 2 = 0.315 m

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