Physics, 30.07.2021 04:40 miguel454545

Two streams merge to form a river. One stream has a width of 8.3 m, depth of 3.2 m, and current speed of 2.2 m/s. The other stream is 6.8 m wide and 3.2 m deep, and flows at 2.4 m/s. If the river has width 10.4 m and speed 2.8 m/s, what is its depth?

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Answer from: krlx

The depth of the resulting stream is 3.8 meters.

Explanation:

Under the assumption that streams are formed by incompressible fluids, so that volume flow can observed conservation:

$\dot V_{1} + \dot V_{2} = \dot V_{3}$ (1)

All volume flows are measured in cubic meters per second.

Dimensionally speaking, we can determine the depth of the resulting stream ( $h_{3}$ ), in meters, by expanding (1) in this manner:

$w_{1}\cdot h_{1}\cdot v_{1} + w_{2}\cdot h_{2}\cdot v_{2} = w_{3}\cdot h_{3}\cdot v_{3}$

$h_{3} = \frac{w_{1}\cdot h_{1}\cdot v_{1}+w_{2}\cdot h_{2}\cdot v_{2}}{w_{3}\cdot v_{3}}$ (2)

$v_{1}, v_{2}$ - Speed of the merging streams, in meters per second.

$h_{1}, h_{2}$ - Depth of the merging streams, in meters.

$w_{1}, w_{2}$ - Width of the merging streams, in meters.

$w_{3}$ - Width of the resulting stream, in meters.

$v_{3}$ - Speed of the resulting stream, in meters per second.

If we know that $w_{1} = 8.3\,m$ , $h_{1} = 3.2\,m$ , $v_{1} = 2.2\,\frac{m}{s}$ , $w_{2} = 6.8\,m$ , $h_{2} = 3.2\,m$ , $v_{2} = 2.4\,\frac{m}{s}$ , $w_{3} = 10.4\,m$ and $v_{3} = 2.8\,\frac{m}{s}$ , then the depth of the resulting stream is:

$h_{3} = \frac{(8.3\,m)\cdot (3.2\,m)\cdot \left(2.2\,\frac{m}{s} \right) + (6.8\,m)\cdot (3.2\,m)\cdot \left(2.4\,\frac{m}{s} \right)}{(10.4\,m)\cdot \left(2.8\,\frac{m}{s} \right)}$

$h_{3} = 3.8\,m$

The depth of the resulting stream is 3.8 meters.

Answer from: Quest

answer: the exterior temperature of commercial jet planes as they leave the stratosphere and return to the ground increases steadily.

explanation:

the lower most layer of atmosphere is troposphere which extends from 0 to 12 km above the surface of the earth. the temperature initially decreases as distance is increased from the earth's surface. commercial jets fly in lower part of the stratosphere. the stratosphere extends upto 50 km. the temperature in stratosphere starts rising again due to presence of ozone which traps the uv rays.

thus, when the planes leave the stratosphere and return to the ground, the exterior temperature increases steadily.

Answer from: Quest

Iread this book last year so take this with a grain of salt.gene jumps from the tree to compete with finny due to the fact that gene is always trying to do better than finny. he is put under the grasp of peer pressure due to finny almost forcing him to do this. ever since he first jumped finny kept pressuring him to jump since he thought gene enjoyed jumping.rather than uses this answer you should probably just reread chapters 3-4

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Two streams merge to form a river. One stream has a width of 8.3 m, depth of 3.2 m, and current spee...

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