Salmon often jump waterfalls to reach their
breeding grounds.
Starting 3.16 m from a waterfall 0.379 m
in height, at what minimum speed must a
salmon jumping at an angle of 37.6

leave the
water to continue upstream? The acceleration
due to gravity is 9.81 m/s
2
.
Answer in units of m/s.

Answers

Answer 1

The problem corresponds to the motion of a projectile (the salmon), with initial speed [tex]v_0[/tex], initial direction [tex]\theta=37.6^{\circ}[/tex] and vertical acceleration [tex]g=9.81 m/s^2[/tex] downward. The two equations which gives the horizontal and vertical position of the salmon at time t are

[tex]S_x (t) = v_0 cos \theta t[/tex] (1)

[tex]S_y (t) = v_0 sin \theta t - \frac{1}{2}gt^2[/tex] (2)

We can solve the problem by requiring Sx=3.16 m and Sy=0.379 m, the data of the problem.

Solving eq.(1) for t:

[tex]t=\frac{S_x}{v_0 cos \theta}[/tex]

And substituting this expression of t into eq.(2), we get the following expression for [tex]v_0[/tex]:

[tex]v_0 =\sqrt{\frac{g S_x^2}{2(tan \theta S_x -S_y)cos^2 \alpha}}[/tex]

And substituting the numbers into the equation, we find

[tex]v_0 = 6.16 m/s[/tex]


Related Questions

____________ are manufactured by the brain to help relieve pain. Ventricles Epinephrines Endorphins Phalanges

Answers

It's Endorphins. That's a pain killer produced by the brain.

Answer: Endorphins

Explanation: The endorphins are opioid peptides (or neuropeptides) hormones that you can find in humans and other animals.

The endorphins are stored and produced by the pituitary gland, and the objective of these hormones inhibits the communication of the pain signals, functioning as a dielectric that dissipates the intensity of the signals.

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TIME REMAINING
40:50
After hearing about an accident on his normal route, Mr. Gujral checks for alternate routes to get to work.

What type of circuit does this traffic situation model?

A) a series circuit because there is more than one path
B) a series circuit because there is only one path
C) a parallel circuit because there is more than one path
D) a parallel circuit because there is only one path

Answers

The type of circuit the situation models is: C) a parallel circuit because there is more than one path

After hearing about an accident on his normal route, Mr. Gujral checks for alternate routes to get to work, a parallel circuit because there is more than one path. Therefore, the correct option is option C.

Series and parallel circuits are the two basic categories into which circuits can be divided. Because the components of a series circuit are connected end to end, current travels through each component along the same path. The components of a parallel circuit, on the other hand, are connected side by side, creating several channels for the current to flow. Circuits are based on fundamental physical principles like Kirchhoff's Law and Ohm's Law. According to Ohm's Law, the current flowing through a conductor (such as a wire) is inversely proportional to its resistance and directly proportional to the voltage applied across it.

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Larry and Balky set up an experiment to analyze the motion of a marble as it rolled down an incline. They started the marble at the top of the ramp and set up photogates to collect data as the marble rolled down the ramp.

Which graph format would allow Larry and Balky to calculate instantaneous velocity using slope?
A) Velocity on the y-axis, time on the x-axis
B) Distance on the y-axis, time on the x-axis
C) Time on the y-axis, distance on the x-axis
D) Velocity on the y-axis, distance on the x-axis

Answers

Answer:

Option A is the correct answer.

Explanation:

The instantaneous acceleration = Change in velocity in velocity/Time taken

The slope of the graph should give instantaneous acceleration.

 Slope of a graph = Change in value of Y -axis / Change in values of X -axis

 Comparing both the equations

   Change in value of Y -axis = Change in velocity in velocity

   Change in values of X -axis = Time taken

So velocity values should be on the Y axis and Time values should be on the X axis.

Option A is the correct answer.

Reducing waste and recycling things are ways to conserve energy. True false

Answers

True b/c we conserve energy by not using energy to make new materials because we have those available because we recycled

I think the correct answer is true :)

Which freshwater source is a permanent shallow body of water with plant life throughout?

Answers

Fresh water has a variety of different sources on Earth which includes rivers, lakes, streams, rain water, etc.

One of the fresh water sources is a Lagoon which is a permanent shallow body of water which is separated from the larger water bodies by a natural barrier such as reefs or islands.

Reportedly, almost 311 plant species are found to be grown in the Atanasovsko Lake lagoon, out of which the Marsh samphire, reed, vicia and sea wormwood are a few to name.


Answer:

The answer is b.Ponds

Explanation:

Titanium metal is obtained from the mineral rutile tio2. How many kilograms of rutile are needed to produce 100.0 kg of ti?

Answers

Final answer:

To extract 100.0 kg of titanium (Ti) from rutile (TiO2), we would need approximately 166.5 kg of rutile. This is calculated using the molar masses of Ti and TiO2 and the stoichiometry of the extraction process.

Explanation:

The extraction of titanium from rutile (titanium dioxide, TiO2) involves calculating the molar mass of the substances involved. The molar mass of Ti is approximately 47.87 g/mol, and the molar mass of TiO2 is approximately 79.87 g/mol. The stoichiometry of the extraction process indicates that 1 mol of TiO2 yields 1 mol of Ti. Therefore, the mass of TiO2 required to make a specific mass of Ti can be calculated as follows:

Mass of TiO2 = (Mass of Ti / Molar mass of Ti) * Molar mass of TiO2

Converting 100.0 kg of Ti to grams (since the molar mass is in grams per mol) gives 100,000 grams. Now we can substitute into the equation: (100,000 g Ti / 47.87 g/mol Ti) * 79.87 g/mol TiO2 = approximately 166,500 g of TiO2 or 166.5 kg. Therefore, we would need about 166.5 kg of rutile to produce 100.0 kg of Ti.

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Final answer:

To produce 100.0 kg of titanium (Ti) from rutile (TiO2), approximately 2089.67 moles of rutile are needed.

Explanation:

In order to determine how many kilograms of rutile are needed to produce 100.0 kg of titanium (Ti), we need to consider the molar ratio between the two substances. From the chemical formula of rutile (TiO2), we can see that there is a 1:2 ratio of titanium to oxygen. This means that for every 1 mole of titanium, there are 2 moles of oxygen.

To find the number of moles of titanium in 100.0 kg of Ti, we need to convert the mass to moles using the molar mass of titanium. The molar mass of titanium is approximately 47.87 g/mol. Therefore, 100.0 kg of Ti is equal to

100.0 kg × 1000 g/kg / 47.87 g/mol = 2089.67 mol of Ti.

Since there is a 1:1 ratio between titanium and rutile, we can conclude that 2089.67 mol of rutile are needed to produce 100.0 kg of Ti.

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How many additional electrons does this atom of oxygen need in its valence shell to satisfy the octet rule?

Answers

The answer to the question on Edge is,

A. two

Please vote brainliest (:

Suppose Sammy Sosa hits a home run which travels 361. ft (110. m). Leaving the bat at 50 degrees above the horizontal, how high did it travel?

Answers

Answer:

The horizontal distance of Sosa is 276.526 ft or 84.28 meter.

Explanation:

As shown in the figure, let point O is the starting point of Sosa. She travels 361 ft at an angle 50 degree with the horizontal.

sin 50 = [tex]\frac{OM}{OP}[/tex]

0.7660 = h / 361

h = 276.526 ft

h = 84.28 meter

The horizontal distance of Sosa is 276.526 ft or 84.28 meter.

Suppose that a bobcat can jump to a height of 1.50 m. It jumps at an angle of 50.00 relative to the horizontal. What speed does the bobcat have to leave the ground in order to reach that height?

Answers

Answer: 7.08 m/s

let the bobcat jumps with speed [tex]u_o[/tex] at an angle 50 degrees relative to the horizontal.

Height to be reached, [tex]h=1.50 m[/tex]

The component of speed in horizontal direction: [tex]u_o cos 50^o[/tex]

The component of speed in vertical direction: [tex]u_o sin 50^o[/tex]

We will use equation of motion:

[tex] v^2-u^2=2as[/tex]

where v is the final velocity, u is the initial velocity, a is the acceleration, s is the displacement.

The instantaneous speed at the highest point would be 0. Hence, v=0.

The initial velocity in the vertical direction is [tex]u=u_o sin 50^o[/tex]

The acceleration would be due to gravity in the downward direction, [tex]a= -g[/tex]

The displacement would be the height reached, [tex]s=h=1.50 m[/tex]

Insert the values in the equation of motion:

[tex]\Rightarrow 0-(u_o sin50^o)^2=-2gh\\ \Rightarrow u_o^2=\frac{2\times 9.8 m/s^2 \times 1.50 m}{(sin 50^o)^2}=\frac{29.4m^2/s^2}{0.58}=50.1 m^2/s^2\\ \Rightarrow u_o=\sqrt{50.1m^2/s^2}=7.08m/s.[/tex]

Hence, the bobcat must leave the ground with the speed of 7.08 m/s at 50 degrees from the horizontal in order to reach the height of 1.50 m .


Electromagnetic waves differ from the other types of waves because they are

Answers

Correct answer choice is :



B) Able to travel through a vacuum.



Explanation:



Electromagnetic waves are applied to carry long/short/FM wavelength radio waves, and TV/telephone/wireless signals or services. They are also effective for transferring energy in the form of microwaves, infrared radiation, visible light, ultraviolet light, X-rays, and gamma rays. Electromagnetic waves change from mechanical waves in that they do not need a medium to generate. This means that electromagnetic waves can move not only in the air and solid matters but also in the void of space.


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Answer:

Electromagnetic waves differ from the other types of waves because they are energy waves which do not require material medium for their propagation, and as such they travel through vacuum.

Explanation:

A wave can be either mechanical or electromagnetic.

Electromagnetic waves are those types of waves which do not require material medium for their propagation. While mechanical waves are those types of waves which require material medium for their propagation.

Electromagnetic waves differ from the other types of waves because they are energy waves which do not require material medium for their propagation, and as such they travel through vacuum.

A skier approaches the base of an icy hill with a speed of 12.5 m/s. The hill slopes upward at 24° above the horizontal. Ignoring all friction forces, what is the acceleration of this skier when she is going up the hill?
A)9.0 m/s2, directed down the slope
B)4.0m/s2, directed down the slope
C)4.0m/s2, directed up the slope
D)9.0 m/s2, directed up the slope

Answers

when object is placed on inclined plane then we will have net force along the inclined plane which is due to the component of weight along the incline

so we can say that

[tex]F_x = W sin\theta[/tex]

[tex]F_x = mgsin24[/tex]

now in order to find the acceleration we can use Newton's II law

[tex]F_{net} = ma[/tex]

[tex]mgsin24 = ma[/tex]

[tex]a = g sin24[/tex]

[tex]a = 4 m/s^2[/tex]

and the direction is along the inclined plane downwards as weight always pull downwards

So correct answer will be

B)4.0m/s2, directed down the slope

If you stand at the edge of a cliff that is 75 m high and throw a rock directly up into the air with a velocity of 20 m/s, at what time will the rock hit the ground? (note: the quadratic formula will give two answers, but only one of them is reasonable.)

Answers

The vertical position of the rock is given by:

[tex]y(t)=h+v_0 t -\frac{1}{2} gt^2[/tex]

where

h=75 m is the initial height

v0=20 m/s is the initial vertical velocity

g=9.81 m/s^2 is the acceleration due to gravity

The problem asks to find the time t at which the rock hits the ground, so the time t at which y(t)=0, so the equation above becomes:

[tex]75 + 20 t - 4.9t^2 =0[/tex]

Which has two solutions:

t=-2.37 s

t=6.45 s

The first solution is a negative time so it has no physical meaning, therefore the correct answer is t=6.45 s.


Answer:

  At time 6.45 seconds rock will hit ground.  

Explanation:

We have equation of motion , [tex]s= ut+\frac{1}{2} at^2[/tex], s is the displacement, u is the initial velocity, a is the acceleration and t is the time.

 Let us take up direction as positive, so displacement = -75 m, initial velocity = 20 m/s, acceleration = acceleration due to gravity = -9.8[tex]m/s^2[/tex]

 Substituting

    [tex]-75= 20*t-\frac{1}{2} *9.8*t^2\\ \\ 4.9t^2-20t-75=0[/tex]

    t = 6.45 seconds or t =-2.37 seconds

    Since negative time is not possible, t = 6.45 seconds.

    So at time 6.45 seconds rock will hit ground.

a rocket is launched with a constant acceleration straight up. exactly 4.00 seconds after lift off, a bolt falls off the side of the rocket and hits the ground 6.00 seconds later. what was the rockets acceleration?

Answers

The initial speed of the bolt is not 58.86 m/s.  

Let a be the acceleration of the rocket.  

During the 4 sec lift off, the rocket has reached a height of  

h = (1/2)*a*t^2  

with t=4,  

h = (1/2)*a^16  

h = 8*a  

Its velocity at 4 sec is  

v = t*a  

v = 4*a  

The initial velocity of the bolt is thus 4*a.  

During the 6 sec fall, the bolt has the initial velocity V0=-4*a and it drops a total height of h=8*a. From the equation of motion,  

h = (1/2)*g*t^2 + V0*t  

Substituting h0=8*a, t=6 and V0=-4*a into it,  

8*a = (1/2)*g*36 - 4*a*6  

Solving for a  

a = 5.52 m/s^2

The statement “Harvard University is a better school than the University of Chicago” is an example of

a hypothesis.

gossip.

an opinion.

a fact.

Answers

the statement is an opinion because it expresses a preference of an individual than an actual fact.

Answer:

The correct answer will be option-an opinion.

Explanation:

An opinion represents the general view about something which is based on personal belief, views and judgments about that thing. The opinion is not based on any proved fact or previous knowledge.

Since in the given question which stated that Harvard university is better than the University of Chicago will represent a personal opinion about the universities as it is not based on proved and published facts. Due to this, the statement is considered an opinion.

The beat your doctor listens to through a sethoscope is the sound of the four values opening

Answers

and closing .

The heart has 4 valves. They are what makes the lub-dub lub-dub sounds that can be heard from the chest.  

The mitral valve is located between the left atrium and the left ventricle. It closes the left atrium to collect oxygenated blood from the lungs and opens to pass it on to the left ventricle.

The tricuspid valve is located between the right atrium and the right ventricle. It closes the right atrium to hold unoxygenated blood and opens to pass it on to the right ventricle ensuring a one way flow.

The aortic valve is located between the aorta and the left ventricle. It closes the left ventricle and opens to the aorta to pass on the oxygen-rich blood to the body.

The pulmonary valve is located between the pulmonary artery and the right ventricle. It closes off the right ventricle and opens to pass on unoxygenated blood to the lungs.


Answer:

Normally, two distinct sounds are heard through the stethoscope: a low, slightly prolonged “lub” (first sound) occurring at the beginning of ventricular contraction, or systole, and produced by closure of the mitral and tricuspid valves, and a sharper, higher-pitched “dup” (second sound), caused…

Explanation:

Hope this helps

How does weight affect the time it takes an object to hit the ground?

Answers

The heavier the object the faster it will fall. The lighter the object the slower to fall. You can test this for example with a rock and a piece of paper. The paper will take more time to for it to hit the ground rather than the rock which will be quicker.

Final answer:

Weight does not affect the time it takes an object to hit the ground. In the absence of air resistance, all objects fall toward the center of the Earth with the same constant acceleration, regardless of their mass.

Explanation:

Weight does not affect the time it takes an object to hit the ground. According to Newton's second law of motion, the net force on a falling object is the gravitational force, also known as its weight. In the absence of air resistance, all objects fall toward the center of the Earth with the same constant acceleration, regardless of their mass. This means that objects with different weights will hit the ground at the same time as long as air resistance is negligible.

What is a difference between newton’s laws of motion and einstein’s theory of relativity?newton’s laws are factual statements, while the theory of relativity is a statement of opinion.newton’s laws can be revised over time, but einstein’s theory of relativity cannot.newton’s laws explain the observations he made, while the theory of relativity was based on one of einstein’s hypotheses.newton’s laws cannot help predict what may happen in the future, but einstein’s theory can.

Answers

Final answer:

The main distinction between Newton's laws and Einstein's theory of relativity relates to the scenarios they describe accurately. Newton's laws function well in our daily experiences but fall short in extreme conditions. Einstein's theory, based initially on his hypotheses, covers these extreme conditions.

Explanation:

The primary difference between Newton's laws of motion and Einstein's theory of relativity relates to their scope and the types of scenarios they can accurately describe. Newton's laws of motion are based on common experiences and observations in our everyday world, such as explaining why an apple falls from a tree to the ground or why we move forward when a car suddenly stops. However, when it comes to very high speeds (close to the speed of light) or strong gravitational fields, Newton's laws become less accurate.

On the other hand, Einstein's theory of relativity, which was initially based on his hypotheses, expands upon Newton's laws and provides a comprehensive framework for understanding how space, time, and gravity interact in such extreme scenarios like the event horizon of black holes, or how time slows down when we move at high speeds.

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