Two canoes are 5m apart on a lake. Each bobs up and down with a period of 2.0 seconds. When one canoe is at its highest point, the other canoe is astits lowest point. Both canoes are always within a single cycle of the waves. Determine the speed of the waves. (Hint: Draw a sketch!!!)
2007-04-25 06:08:16 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Physics
Since one canoe is up when the other is down, in the same wave, they are half a wavelength apart.
1/2 wavelength = 5m
wavelength = 10m
If the period is 2 seconds, then the waves are moving one wavelength (10m) per 2 seconds.
10 meters / 2 seconds =
5 meters per second.
2007-04-25 06:17:38 · answer #1 · answered by McFate 7 · 0⤊ 0⤋
I do not know how to draw sketch on this ...
A wave has four stages zero-positive high-zero-negative high and then it returns back to the original state of zero.
So, the distance between positive high and negative high is 1/2 of wave length. In this case 1/2 wave length is 5 m therefore the full wave is 10 m.
The time period is 2 seconds. That means the frequency is 1/2 (1/time period) Hz.
The speed of any wave is frequency * wave length
(in 1 second the number of waves * length of each wave)
therefore the speed is
10 * 1/2 = 5 m/s
Bye.
2007-04-25 07:34:27 · answer #2 · answered by dipakrashmi 4 · 0⤊ 0⤋
the distance from the top of one wave to the bottom of the next is 5 m. The length of a full wave is 10 m. (a full wave is top to top)
The wave moves 10 meters in 2 seconds.
Its speed is 5 m/sec.
2007-04-25 06:22:35 · answer #3 · answered by DanE 7 · 0⤊ 0⤋