fisherman notices that his boat is moving up and down in a periodic way because of waves on the surface of the water. it takes 4 s for the boat to travels from its highest point to its lowest, a total distance of 2 m. the fisherman sees that the wave crests are spaced 12 m apart. (a) how fast are the waves moving? (b) what is the amplitude, frequency, wavelength, and period of the waves?
Answers
Answer:
hi. In the given problem, over the waves in the water, the boat off the fisherman is moving up and down periodically. The total distance between up and down is given us 0.62 nita. And if we consider it as but transfers wave, this total distance between up and down will be equal toe twice off a There a is the amplitude off the wave and time chicken in this motion from upto down is given as 2.5 seconds. So clearly this distance from up toe down is equal to twice off, which is 0.62 m and this time taken from up toe down will be equal toe half off. The time period means to 0.5 second more world. The wave crest are noticed by the fishermen as spaced as six point 0 m and definitely this will be equal toe the wavelength off the way. So now in the first part of the problem, we have to find how fast are the waves? Traveling means we have to find the wave velocity so we know the way we speed or wave velocity he's given us. V is equal toe f into Lambda means frequency into wavelength. And we know frequency is given us in worse off time, period into violent as we know the half off time period. T V two is 2.5 seconds. So we can say the time period will be two times off. 2.5 seconds means 5.0 seconds. So here this wave speed comes out to be won by five multiplied by wavelength, which is 6.0 m. So finally, this wave velocity or baby speed here comes out Toby 1.2 meter or second. And it becomes the answer for the first part off the problem. No. In the second part of the problem, we have to find what is the amplitude off each way? That is very easy, because we know wise off a is equal to 0.62 m. So definitely the amplitude here comes out. Toby, half of 0.62 m, which is 0.31 m. And it becomes the answer for the second part. The problem? No. In the third part off the problem, we have to find if the total vertical distance traveled by the boat. What 0.30 m means this twice off a becomes 0.30 m in place, off 0.62 m. We have to find keeping all other data. Same. We have to find the answers for part A and part B. So for part A as we have to find the speed, the wave velocity and it is clear that the velocity V is equal toe. If Lambda will remain same as it does not depend upon the amplitude. So we will be same as 1.2 m per second and it becomes the answer for the first part off the third part off this problem means answer changed answered for part a no for part B here as we have to find the amplitude. So it is clear that as to a is equal to 0.30 m, so a will become 0.15 m means the answer for part B will get changed. Thank you
Explanation:
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Explanation:
A fisherman notices that his boat is moving up and down periodically, owing to waves on the surface of the water. It takes 2.5 s for the boat to travel from its highest point to its lowest, a total distance of 0.62 m. The fisherman sees that the wave crests are spaced 6.0 m apart. (a) How fast are the waves traveling? (b) What is the amplitude of each wave? (c) If the total vertical distance traveled by the boat were 0.30 m but the other data remained the same, how would the answers to parts (a) and (b) be affected?