A fisherman notices that his boat is moving up and down periodically, owing to w

Question

A fisherman notices that his boat is moving up and down periodically, owing to waves on the surface of the water. It takes 2.60s for the boat to travel from its highest point to its lowest, a total distance of 0.600m . The fisherman sees that the wave crests are spaced 6.40m apart.

Part A: How fast are the waves traveling?

Part B: What is the amplitude of each wave?

Part C: If the total vertical distance traveled by the boat were 0.300m , but the other data remained the same, how fast are the waves traveling ?

Part D: If the total vertical distance traveled by the boat were 0.300m , but the other data remained the same, what is the amplitude of each wave?

Explanation / Answer

soln.a) The waves are moving at 0.60/2.6 and then divided by 2 = 0.115 m/s metres per second.
b) The amplitude is half the displacement, 0.300 metres.
c) Wave speed: no change. Amplitude: same, half the displacement, but 0.15 metres this time.

d0d. Assuming you mean displacement again, then the amplitude is, as in b, half of this value, which is 0.3m

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.