You are a member of a geological team in Central Africa. Your team comes upon a wide river that is flowing east. You must determine the width of the river and the current speed (the speed of the water relative to the earth). You have a small boat with an outboard motor. By measuring the time it takes to cross a pond where the water isnt flowing, you have calibrated the throttle settings to the speed of the boat in still water. You set the throttle so that the speed of the boat relative to the river is a constant 6. 00 m/s. Traveling due north across the river, you reach the opposite bank in 20. 1 s. For the return trip, you change the throttle setting so that the speed of the boat relative to the water is 7. 40 m/s. You travel due south from one bank to the other and cross the river in 11. 2 s. Part 1: How wide is the river and what is the current speed?Part 2: With the throttle set so that the speed of the boat relative to the water is 6. 00m/s, what is the shortest time in which you could cross the river, and where on the far bank would you land?
Answers
Part 1) The width of the river is approximately 120.46 meters and the current speed is approximately 3.37 m/s. Part 2) The shortest time to cross the river is approximately 20.08 seconds and the boat would land approximately 67.74 meters downstream from the starting point on the far bank of the river.
Part 1: To determine the width of the river and the current speed, we can analyze the motion of the boat in both the northbound and southbound directions.
Let's assume the width of the river is represented by "d" and the current speed is represented by "v." Since the boat's speed relative to the river is 6.00 m/s in the northbound direction and 7.40 m/s in the southbound direction, we can set up the following equations based on the time it takes to cross the river:
For the northbound direction:
d = (boat's speed relative to the river) * (time taken to cross the river)
d = 6.00 m/s * 20.1 s
d = 120.6 m
For the southbound direction:
d = (boat's speed relative to the river + current speed) * (time taken to cross the river)
d = (7.40 m/s + v) * 11.2 s
Now we have two equations with two variables (d and v). Solving these equations simultaneously will give us the values of d and v.
120.6 m = (7.40 m/s + v) * 11.2 s
Simplifying the equation:
120.6 m = 82.88 m/s + 11.2v
11.2v = 120.6 m - 82.88 m/s
11.2v = 37.72 m/s
v = 37.72 m/s / 11.2
v ≈ 3.37 m/s
Now that we have the current speed (v ≈ 3.37 m/s), we can substitute this value back into one of the earlier equations to find the width of the river:
d = (7.40 m/s + v) * 11.2 s
d = (7.40 m/s + 3.37 m/s) * 11.2 s
d = 10.77 m/s * 11.2 s
d ≈ 120.46 m
Part 2: To find the shortest time to cross the river, we need to take into account the current. Since the current is flowing from east to west, we should aim to reach the far bank downstream from our initial position.
The shortest time to cross the river can be achieved by pointing the boat at an angle that maximizes the effect of the current to carry us downstream. This angle can be determined using trigonometry. Let's call this angle θ.
tan(θ) = (current speed) / (boat's speed relative to the river)
tan(θ) = 3.37 m/s / 6.00 m/s
θ ≈ 29.23 degrees
By pointing the boat at an angle of approximately 29.23 degrees downstream, we can minimize the impact of the current and maximize our speed across the river. The boat's speed relative to the river is still 6.00 m/s, so the shortest time to cross the river would be the time it takes to cover the width of the river (120.46 m) at this speed:
Shortest time = distance / speed
Shortest time = 120.46 m / 6.00 m/s
Shortest time ≈ 20.08 s
As for the landing point on the far bank, it would be downstream from the starting position by a distance equal to the current speed multiplied by the
shortest time:
Landing point = (current speed) * (shortest time)
Landing point ≈ 3.37 m/s * 20.08 s
Landing point ≈ 67.74 m
For such more questions on speed
https://brainly.com/question/31380575
#SPJ8
Related Questions
!!PLEASE I NEED HELP ASAP!!
As the kinetic energy of the molecules in a substance increases, the
a. temperature of the substance increases.
b. temperature of the substance decreases.
c. potential energy of the substance changes.
d. temperature remains the same.
Answers
Answer:
a. temperature of the substance increases.
Explanation:
Temperature is defined as a measure of the average kinetic energy of a substance, so as one rises, so will the other. They are directly proportional.
As the kinetic energy of the molecules in a substance increases, the temperature of the substance is also increases because kinetic energy and temperature is proportional to each other.
Relation of kinetic energy and temperatureKinetic energy is directly related to temperature which means if kinetic energy is increased, the temperature of the solution is also increased and vice versa.
So we can conclude that As the kinetic energy of the molecules in a substance increases, the temperature of the substance is also increases because kinetic energy and temperature is proportional to each other.
Learn more about energy here: https://brainly.com/question/13881533
If a locomotive uses steam at
100°C, and dumps heat into air
at 220°C. what is the highest
possible efficiency it could have?
Answers
Answer:
79%
Explanation:
The following data were obtained from the question:
Input temperature = 100°C
Output temperature = 22°C
Efficiency =.?
Next, we shall convert the temperature from celsius to Kelvin temperature. This is illustrated below:
T (K) = T (°C) + 273
Input temperature = 100°C
Input temperature = 100°C + 273 = 373K
Output temperature = 22°C
Output temperature = 22°C + 273 = 295K
The efficiency of the locomotive can be obtained as follow:
Input temperature = 373K
Output temperature = 295K
Efficiency =.?
Efficiency = output /input x 100
Efficiency = 295/373 x 100
Efficiency = 79%
Therefore, the efficiency of the locomotive is 79%.
An ice skater spins with angular speed omegaω and initial frequency fi. He brings his arms closer to his body, increasing his angular speed to 2ω His final frequency is ff
Answers
The frequency of his spin increases by a factor of 2 if his angular speed increases to 2ω.
ω = 2 π / T
f = 1 / T
ω = Angular velocity
T = Time period
f = Frequency
ω = f * 2 π
fi = ω / 2 π
If angular speed increases to 2 ω,
ff = 2 ω / 2 π
ff = 2 fi
The constant 2 π is used because one revolution per second is equal to 2 π radians per second. Frequency is the repetition of an event per unit amount of time. Its Si unit is Hertz.
To know more about Frequency
https://brainly.com/question/10254661
#SPJ1
which sentence describes newton's second law
Answers
Can y’all help me pleaseeee
Answers
What are the forces applied?
Answers
The forces applied on the bucket are tension and gravitational.
What is the gravitational force?
According to Newton’s gravitational law, it is the force exerted due to attraction between two objects that is directly proportional to the product of their masses and is inversely proportional to the square of distance between them.
The force applied to the bucket containing water is gravitational force. The gravitational force acts in downward direction and there is no change in the state of motion. There is another force as well which is the muscular force by which we hold the bucket in the upward direction with the help of our muscles. Tension is also exerted on the bucket as this force is seen in existence when any object is being pulled up with the help of string or rope. It is always seen in the direction which is parallel to the rope.
To know more about gravitational force, click on the following link:
https://brainly.com/question/72250
#SPJ1
what are two properties that lead to electromagnetic interactions? pls help I'm so confused and cant find the answer anywhere!!
Answers
Answer:
Electric charge. A fundamental property that leads to the electromagnetic interactions among particles that make up matter.
Increasing the distance between an electromagnet and the compass will cause the observed effect of the compass to _____.
Answers
Increasing the distance between an electromagnet and the compass will cause the observed effect of the compass to decrease in strength
What would the Increasing the distance between an electromagnet and the compass cause?
The strength of the magnetic field produced by an electromagnet decreases as the distance from the electromagnet increases. This means that if the distance between the electromagnet and the compass increases, the magnetic field that the compass is experiencing will weaken.
As a result, the observed effect of the compass will decrease in strength as the distance between the electromagnet and the compass increases.
Read more on observed effect here:https://brainly.com/question/28146505
#SPJ1
Physics question
two concrete spans of a 180 m long bridge are placed end to end so that no room is allowed for expansion. if the temperature increases by 20◦c, what is the height to which the spans rise when they buckle? assume the thermal coefficient of expansion is 1.2 × 10^−5(◦c)^−1. answer in units of m.
Answers
The thermal expansion coefficient of concrete is typically around 3.5 × \(10^{-5\) /°C. Using this value and assuming that the temperature increase is in Celsius, the change in length is 4,500 m.
We can calculate the change in length of the spans as follows:
ΔL = αL * ΔT
here α is the thermal expansion coefficient of concrete, L is the length of the span, and ΔT is the temperature increase in Celsius.
We know that the length of the span is 180 m, and the temperature increase is 20°C. Substituting these values into the equation, we get:
ΔL = 3.5 × \(10^{-5\) * 180 m * 20°C
= 4,500 m
To find the height to which the spans rise when they buckle, we need to know the shape of the buckling and the distance between the supports.
Learn more about thermal expansion Visit: brainly.com/question/1166774
#SPJ4
Modeling the motion of the fly on the web as a mass on a spring, at what frequency will the web vibrate when the fly hits it?
Answers
To learn more about web vibration click the given link
https://brainly.com/question/12450365
#SPJ4
A cannon ball is launched from the edge of a cliff that is 6 m above the ground. It has a
horizontal velocity of 10.2 m/s. It takes 3.7 s for the cannonball to reach the ground.
How far from the cliff does it land?
Record your answer to the nearest hundredth.
Answers
Answer:
Sh = Vh t horizontal distance traveled
Sh = 10.2 m/s * 3.7 s = 37.74 m
A disk begins rotating from rest with an angular acceleration of a in rad/s. Which of the following equations is correct for the time in seconds it takes for the disk to complete one full rotation? A. t = 1/2αB. t = πα C. t = sqrt(2/α)D t = sqrt(2π/α)E. t = sqrt(4π/α)
Answers
The correct equation for the time it takes for a disk to complete one full rotation, given an angular acceleration of α, is option D: t = sqrt(2π/α).
To understand why, we can use the kinematic equation that relates angular acceleration (α), angular velocity (ω), and time (t) for an object undergoing rotational motion:
ω = αt
In one full rotation, the initial angular velocity is zero (as the disk starts from rest) and the final angular velocity becomes a full revolution, which is 2π radians. So we have:
2π = αt
Solving for t, we get: t = 2π/α
Thus, the correct equation for the time it takes for the disk to complete one full rotation is t = sqrt(2π/α). This equation represents the relationship between the angular acceleration and the time required for the disk to make a complete revolution.
Learn more about acceleration here
https://brainly.com/question/460763
#SPJ11
Anyone knows this please help me
Answers
Answer:
Option B is the correct definition of an isotope
Answer:
two or more forms of the same element that contain equal numbers of protons but different numbers of neutrons in their nuclei
Explanation:
which products rely on the ability of ionic compounds to conduct electricity? check all that apply.
1. papers
2. cell phones
3. soaps
4. glazed pottery
5. remote control toys
Answers
2. Cell phones
5. Remote control toys
What happens when you push or pull a water tube
Answers
The thing that happens when you push or pull a water tube is that the force makes the tube to speed up, slow down, or be in one place.
It is very hard when pulling water and if a person need to consistently pull air out of the tube before water makes it to the pump, it is very difficult and some pumps may or cannot do it.
What is the pulling about?In regards to pushing, when a person is pushing above the Center of Gravity, one is pushing the said object into the ground and thus is increasing the rate of friction.
If a person is pulling you are said to be pulling above the Center of Gravity and lowering friction.
So, The thing that happens when you push or pull a water tube is that the force makes the tube to speed up, slow down, or be in one place.
Learn more about Gravity from
https://brainly.com/question/557206
#SPJ1
How would the force of gravity between two objects change if the distance
between them were to decrease by half?
O A. The force between them jould be 1/4 the force with the initial
separation.
OB. The force between them would be 2 times larger than with the
initial separation.
C. The force between them would be 4 times larger than with the
initial separation.
O D. The force between them would be 1/2 the force with the initial
separation.
Answers
Answer:
d
Explanation:
Two stars are in a binary system. One is known to have a mass of 1.00 solar masses. If the system has an orbital period of 400 years, and a semi-major axis of 1.34E+10 km, what is the mass of the other star?
Answers
The mass of the other star in the binary system is approximately 0.541 solar masses.
To find the mass of the other star in the binary system, we can use Kepler's Third Law of Planetary Motion, which can be applied to binary star systems. The law states that the square of the orbital period (\(T\)) is proportional to the cube of the semi-major axis (\(a\)) of the orbit. Mathematically, this can be expressed as\(\(T^2 = \frac{4\pi^2}{G(M_1 + M_2)}a^3\), where \(M_1\) and \(M_2\)\) are the masses of the stars,\(\(G\)\) is the gravitational constant, and other variables have their usual meanings.
Given that one star has a mass of 1.00 solar masses, we can substitute the known values into the equation and solve for\(\(M_2\)\). Rearranging the equation, we have\(\(M_2 = \frac{4\pi^2}{G}(\frac{a^3}{T^2}) - M_1\)\).
Plugging in the values for\(\(a\) (1.34E+10 km) and \(T\) (400 years)\), and using the appropriate unit conversions, we can calculate the mass of the other star,\(\(M_2\\), to be approximately 0.541 solar masses.
Therefore, the mass of the other star in the binary system is approximately 0.541 solar masses.
Learn more about solar masses from the given link: https://brainly.com/question/31766600
#SPJ11.
True or False: if a sound wave's frequency changes, its speed stays the same
Answers
step-by-step-information:This is true because it stays the same normally all the time.
Your goal is to throw a ball as far as you can. You have a choice to throw a 1lb ball, 3lb ball, or a 5lb ball. Which ball would you pick and why? Use Newton's second law (formula) in your explanation.
Answers
Answer:
Obviously, the 5lb ball when thrown will go farther . Newton second law of motion F = mass x acceleration .
So the more the mass , the more force will be used to throw the ball.
Explanation:
Suppose you calculated the speed of light in an unknown substance to be 4.00x10^8 m/s. How could you tell if you made an error in your calculations
Answers
Answer: You could tell if you made an error in your calculations by repeating the steps.
Speed of light is the fastest/maximum in vacuum which is equal to 3 × 10^8 m/s, therefore speed of light through any material equal to 4 × 10^8 m/s is physically and theoretically impossible and therefore incorrect.
Explanation:
Lab: Kinetic Energy What is the purpose of the lab, the importance of the topic, and the question you are trying to answer? What is your hypothesis (or hypotheses) for this experiment? What methods are you using to test this (or each) hypothesis? Section II: Data and Observations Locate the data and observations collected in your lab guide. What are the key results? How would you best summarize the data to relate your findings? Do you have quantitative data (numerical results or calculations)? Do you have qualitative data (written observations and descriptions)? How can you organize this date for your report? Section III: Analysis and Discussion What do the key results indicate? If you constructed graphs, what trends do they indicate in your data? Were there any problems with the experiment or the methods? Did you have any surprising results? Section IV: Conclusions What do the results tell you about your hypothesis(es)? How do the data support your claim above? If you could repeat the experiment and make it better, what would you do differently and why?
Pls hurry!!!!!!!! Worth 100 pts!
Answers
Many plants have specialized structures that allow them to spread their seeds over a wide area. Examples of three different structures are shown in the images below. Match each method of seed dispersal to the plant structure that makes it possible.
uplifted and carried by
wind to a new location
eaten and excreted as
waste in a new location
tangled in animal fur and
carried to a new location
Answers
uplifted and carried by wind to a new location - Fruits with wings
eaten and excreted as waste in a new location - Fruits with hard shells
tangled in animal fur and carried to a new location - Fruits with hooks or barbs
Leslie and Marcus are
arguing over a teddy
bear. Both kids are
pulling with 25 N of
force
what newton’s law is it
Answers
JeLysa Hanson, a 41-year-old female, presents to the ED complaining of shortness of breath and tightness in her ches
examination, she is discharged with a diagnosis of musculoskeletal pain due to overexertion while practicing her new
her backyard
Be sure to list the codes, one code per box, in the correct order, from top to bottom. Capitalization, punctuation, and sp
impact whether or not your answer is correct. Follow coding best practices.
What is/are the correct diagnosis code(s)?
Answers
Solution :
It is given that JeLysa Hanson went for a medical examination complaining shortness of breath and tightness in her chest. After the medical examination, she was diagnosed of a musculoskeletal pain that was due to the overexertion while practicing her new hobby of boxing.
Therefore the codes of her examinations are :
ICD Code :
\($R06.02$\) = shortness of breath
\($R07.89$\) = chest pain or chest tightness
\($M79.1$\) = musculoskeletal pain
\($X50.3XXS$\) = overexertion due to the repetitive body movement
Every chromosome contains numerous genes, and each cell contains approximately _____ genes.
Answers
Every chromosome contains numerous genes, and each cell contains approximately 20,000 to 25,000 genes.
Genes are segments of DNA that carry the instructions for producing proteins or RNA molecules, which are necessary for various biological processes in the body.
Each chromosome contains numerous genes that are arranged along the length of the chromosome. In humans, the total number of genes is estimated to be around 20,000 to 25,000.
However, the number of genes can vary across different species, with some organisms having fewer or more genes than humans. The study of genetics and genomics aims to understand the functions and interactions of genes and how they contribute to the development and function of living organisms.
To know more on genes
https://brainly.com/question/8832859
#SPJ4
Does the north pole of a magnet point to the north magnetic pole of the earth? Explain.
Answers
The geographic north pole is not shown by a magnetic compass. The earth's magnetic poles, which are distinct from the planet's geographic poles, are shown by a magnetic compass.
What is the magnetic pole of the earth?A magnet will always point northward or southward. A magnet's north pole will always point in the direction of the Earth's geographic north (which is also its magnetic south pole).
Since opposite poles pull together, the earth's magnetic north pole is actually located on the Southern Hemisphere, making it operate like a physical magnet.
The direction of magnetic field lines is set up so that they come out of the north pole of the magnet and go in through the south pole.
Therefore, the magnetic pole that is closest to the geographic north pole of the earth is the south magnetic pole. The law of attraction applies to magnets.
Learn more about magnetic pole here:
https://brainly.com/question/3003721
#SPJ4
REPORT: READ AND WRITE ABOUT SOUND You have learned how sounds are made and how they travel. In this report you will use books to learn more about sound. Here is your goal for this assignment: Write about sound Find a book about sound. Read the book. Type a two-paragraph report in your telling what you learned about sounds from the book. Your paragraphs should be at least four sentences long. Remember to write complete sentences with proper grammar, spelling, punctuation, and capitalization.
Answers
When items vibrate, they produce sound. (move back and forth very quickly). Vibrations generate sound waves, which may travel in all directions via air, water, and a variety of other materials.
The sound we perceive is silent when sound waves are spread out. The sound is substantially louder when they are clumped together.
Why is it vital to study sound?Sound is significant because it may provide information about a person's personality, location, and time. It is significant because it educates and moves us in ways that images cannot, and because certain combinations of sound and pictures may elicit emotions that neither can elicit alone. It's also potentially significant since it can influence what we view.
learn more about Sound
https://brainly.com/question/1199084
#SPJ1
I need help, please!!!!!!!
In a reading essay of Racial Formation by Micheal and Howard, race is defined as a socio historical concept, what does this mean to them? Explain how race is socially constructed or strictly biological. Support two paragraphs.
Answers
Race as a socio-historical construct, highlights the importance of understanding the social, political, and economic contexts in which race is created and maintained.
What is race?According to Michael Omi and Howard Winant, in "Racial Formations," race is a socio-historical concept that is constructed through the intersection of cultural, political, and economic forces.
In this book, they argue that race is not an immutable, biologically determined characteristic of individuals or groups but rather a social construct that is created and maintained through systems of power and inequality. The authors illustrate how race is constructed through examples from different historical periods and social contexts.
Learn more about race here: https://brainly.com/question/28138343
#SPJ1
Which formula is used to calculate average velocity?
Va
o v
;
Vave
O V =
Answers
Answer:
Vav=total distance/total time
The atmospheric pressure on a mountain is 550 mmHg and 1 atm is equal to 760 mmHg. What is the pressure in atm? Give your answer to 2 significant figures760 mmHg what is the pressure in atm?
Answers
Answer:
0.72 atm
Explanation:
Given that the atmospheric pressure on a mountain is 550 mmHg.
Where 1 atm is equal to 760 mmHg.
To Convert millimetre mercury (mmHg) into atmospheric pressure units (atm) , divide the magnitude of pressure by 760. That is,
Pressure = 550/760
Pressure = 0.724 atm
Therefore, pressure in atm is 0.72 atm in two significant figures