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likoan [24]
3 years ago
11

A trout jumps, producing waves on the surface of a 0.8-mdeep mountain stream. If it is observed that the waves do not travel ups

tream, what is the minimum velocity of the current?
Physics
1 answer:
alina1380 [7]3 years ago
5 0

Answer:

The value is v  =  2.8 \  m/s

Explanation:

From the question we are told that  

     The depth of the mountain is  d =  0.8 \  m

Generally the  velocity of the surface  wave  is mathematically represented as

        v =   \sqrt{ g * d }      

=>      v =   \sqrt{ 9.8 * 0.8  }    

=>      v =   2.8 \  m/s

Generally using the Froude number is mathematically represented as

          Fr = \frac{ V }{ v }

Here V is the velocity of the current

 Given that  the waves do not travel upstream, then the flow of the current is  supercritical which means that

            \frac{ V }{ v } > 1

=>         V  > v

=>         V  > 2.8 \  m/s

Hence the minimum velocity of the current  is  

            v  =  2.8 \  m/s

This because the velocity of the  current is greater velocity of the surface  wave , so minimum will be like the lowest possible value of  V  which is v

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A diver springs upward from a board that is 4.40 m above the water. At the instant she contacts the water her speed is 13.5 m/s
Yakvenalex [24]

The diver has the initial velocity, both (a) magnitude is 9.8 m/s and (b) direction is  73.5°.

<h3>What is free falling?</h3>

When an object is released from rest in free air considering no friction, the motion is depend only on the acceleration due to gravity, g.

If we drop an object of mass m near the Earth surface from a height h, it has initial mechanical energy(P.E)

U =mgh

When the object strikes the ground, all the potential energy converted into kinetic energy.

K.E = 1/2mv²

where v is the speed just before hitting the ground.

A diver springs upward from a board that is 4.40 m above the water. At the instant, she contacts the water her speed is 13.5 m/s and her body makes an angle of 78.1 ° with respect to the horizontal surface of the water.

(a)

From energy conservation principle, initial and final mechanical energy are equal.

1/2mu² + mgh = 1/2mv²

where, u is the initial velocity of the diver.

u = sq rt  (v² - 2gh)

u = sq rt (13.5² - 2x9.81x4.4)

u = 9.798 m/s or 9.8 m/s

Thus, the velocity of the diver is 9.8 m/s.

(b)

The horizontal component of velocity will remain constant.

The horizontal component of acceleration is zero.

Then,

ucosθ = vcosΦ

θ = cos⁻¹ [ (13.5 x cos 78.1)/9.8 ]

θ = 73.5°

Thus, the direction of velocity is  73.5°.

Learn more about free falling.

brainly.com/question/13299152

#SPJ1

5 0
2 years ago
Air is composed of many gases, while water is composed of a pure substance. Which best compares air and water?
natta225 [31]

Answer: c

Explanation:

C Air is a compound of two or more components that keep their own identifying properties, while water is composed of mixtures that combine to form a compound.

4 0
2 years ago
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In which one of the following situations is zero net work done? A) A ball rolls down an inclined plane. B) A physics student str
lidiya [134]

Answer:

Option D

Explanation:

The work done can be given by the mechanical energy used to do work, i.e., Kinetic energy and potential energy provided to do the work.

In all the cases, except option D, the energy provided to do the useful work is not zero and hence work done is not zero.  

In option D, the box is being pulled with constant velocity, making the acceleration zero and thus Kinetic energy of the system is zero. Hence work done in this case is zero.

6 0
3 years ago
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__________ helps us adapt to our environment. It also generally __________ with age. A. Plasticity . . . decreases B. Developmen
Nana76 [90]
Not sure this is a physics question (probably biology).
Anyway, the correct answer is A):
"Plasticity helps us to adapt to our environment. It also generally decreases with age".
Plasticity is the ability to adapt to the environment. Since this ability is linked with brain functions, and brain functions worsen with age, then plasticity decreases with age.
8 0
3 years ago
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How do you reduce friction
choli [55]
To reduce friction between two surfaces, you have to
make the surfaces smoother. 

The best way to do that is to introduce a fluid between them,
like grease, oil, or air.
3 0
3 years ago
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