Water flows along a streamline down a river of constant width. Over a short distance, the water slows from speed v to v/3. Which

Question

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Water flows along a streamline down a river of constant width. Over a short distance, the water slows from speed v to v/3. Which

of the following can you correctly conclude about the river's depth?
a. It became deeper by a factor of 3.
b. It became shallower by a factor of 3.
c. It became deeper by a factor of 3^2
d. It became shallower by a factor of 3^2

Physics

1 answer:

kvasek [131] · Answer 1 · 2022-10-15T00:20:04+03:00

Answer:

a. It became deeper by a factor of 3.

Explanation:

What we have is water flowing down a river with constant width. The water slows from speed v to v3 over a shirt distance

Using the equation of continuity

A1V1 = A2V2 ----1

A1 is the area of rectangle

V1 is the velocity of water

Area of rectangle = length x width

We rewrite equation 1 as

λ1w1v1 = λ2w2v2

We have w1 = w2

λ1v1 = λ2v2

λ1*v1 = λ2*v/3

λ1 = λ2/3

So it becomes deeper by a factor of 3