A duck has a mass of 2.70 kg. As the duck paddles, a force of 0.110 N acts on it in a direction due east. In addition, the current of the water exerts a force of 0.220 N in a direction of 47.0° south of east. When these forces begin to act, the velocity of the duck is 0.120 m/s in a direction due east. Find (a) the magnitude and (b) the direction (relative to due east) of the displacement that the duck undergoes in 2.70 s while the forces are acting. (Note that the angle will be negative in the south of east direction.)

Answers

Answer 1

a) The magnitude will be 0.838m

b) The displacement will be -17.35°

What is displacement?

The path covered by an object from its initial point to final point.

Forces acting on the duck

x-axis:    0.13 + 0.16*cos(-56°) = 2.7 * ax  

ax = 0.0813 m/s^2

y-axis:    0.13*sin(-56°) = 2.7 * ay  

ay = -0.0491 m/s^2

The displacement on the x-axis

X = Vox * t + ax/2 * t²

X = 0.12* 3.2 + 0.0813/2*3.2²

X = 0.8

The displacement on the y-axis:

Y = Voy * t + ay/2 * t²

X = 0 - 0.0491/2*3.2²

Y=-0.25m

So, the magnitude and angle of this displacement [0.8,-0.25] is:

0.838m  at an angle of -17.35°

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Related Questions

One Affective way to develop the feeling function in one’s personality is to

A. Imagine how other people might feel in the situation
B. Plan out the details for each week
C. Socialize more with strangers
D. Consider the consequences of one’s actions

Answers

Answer:

A.

Explanation:

I think it’s a. Because, I normally think about how someone else feels if I want to say something.

Which units are used to measure both velocity and speed? Select three options.
m/s
d/t
km/h
mph
lph

Answers

Answer:

m/s

km/h

mph

Explanation:

speed is measured with distance which does in velocity too that is why I chose this answer

Which statement describes a chemical property related to the
particles that make up the material?
O
A. Magnesium oxide crystals are hard and brittle because
they are made up of atoms that combine by ionic bonding.
O B. Iron is a good conductor of electricity because the metallic
bonds between its atoms allow electrons to move freely.
O c. Aluminum has a relatively low density because its atoms
have fewer protons than the atoms of most other metals.
O D. Aluminum is relatively inert because its atoms do not react
readily with molecules in the atmosphere.

Answers

Iron is a good conductor of electricity because the metallic bonds between its atoms allow electrons to move freely.

What is Chemical property?

These are the features which can be observed when the substance undergoes a chemical reaction.

Good conductor of electricity is a chemical property and is common among metals as a result of the metallic bonds which is why option B was chosen.

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What are you and the Australian Institute of Marine Biology trying to find out and 4. Why might it be important to find this information out

Answers

Answer:

Established in 1972 by the McMahon Government, the institute's primary function is research for sustainable use and protection of the marine environment. The Institute investigates topics from broad-scale ecology to microbiology.

When baking soda is mixed with lemon juice, bubbles are formed with the evolution of a gas. What type of change is it? Explain.

Best Answer will be marked as brainliest

Answers

[tex]\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}[/tex]

[tex] \sf \red{When \: baking \: soda \: is \: mixed \: with \: lemon \: juice, \: bubbles \: are \: formed \: with \: the \: evolution \: of \: a \: gas.}[/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]

When baking soda is mixed with lemon juice, bubbles are formed with the evolution of a gas. The gas is formed in the reaction is Carbon dioxide. [tex] CO_{2}[/tex] is formed.

The change which happened in this reaction is a chemical change.

[tex] \boxed{ \frak \green{Explanation}}[/tex]

Since, in chemical change we can't bring a substance to it's actual form how it was in earlier.

Examples: burning of paper is chemical, since we can't get the fine paper again after it is burnt.

Thus, the above reaction is also a chemical change, since we can't get back the lemon juice how it was earlier.

[tex] \boxed{ \frak \red{Brainlysamurai}}[/tex]

Explain why the atomic mass of an element is weighted average mass

Answers

Explanation:

The mass written on the periodic table is an average atomic mass taken from all known isotopes of an element. This average is a weighted average, meaning the isotope's relative abundance changes its impact on the final average. The reason this is done is because there is no set mass for an element.

1.33 kg of ice at 0.00 °C is added to 12.4 kg of water at 20.0 °C. What is the final temperature?

Answers

Answer:

Heat gain = Heat loss

Latent heat of fusion of water = 80 kcal/kg

Specific heat of water = 1 kcal /kg deg C

Heat gain = 1.33 * 80 + (12.4 + 1.33) T = 106 + 13.7 T

Heat Loss = 12.4 * (20 - T) = 248 - 12.4 ΔT

106 + 13.7 T = 248 - 12.4 T

26.1 T = 142

T = 5.4       final temperature

Answer: 10.310406 (works for acellus)

I tried to add an explanation but it wouldn't let me for some reason

Anyways watch the end of the video to see how to get the equation

For which type of pathogens do immunizations/vaccinations help prevent?

To reduce the risk of atherosclerosis, it is important to cut down on?

Answers

The pathogen that immunization helps to prevent is virus.

To reduce the risk of atherosclerosis cut down on saturated fatty foods.

What is immunization?

Immunization is defined as the prevention of pathogenic viral organisms from harming a living human host through the exposure of the host to an attenuated form of the virus to develop immunity prior to a future exposure.

Atherosclerosis is the deposition of fatty substances on the arterial wall leading to blocking of the blood vessels.

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Present an argument about the likely kinetic energy of the ball before and after the collision with the can.

Answers

An argument about the likely kinetic energy of the ball before and after the collision with the can is can remain the same, halved and completely transferred.

What does collision mean in physics?

In physics, we understand as a collision process the interaction between two or more bodies, initially free (that is, there is no interaction between them). Collision is usually divided into three categories: elastic collision, partially elastic collision and inelastic collision.

Analyzing for each of these cases we have that the kinetic energy before and after the collision will be:

elastic collision: Kinetic energy will be the same before and afterpartially elastic collision : the kinetic energy will be halved after the collision.inelastic collision: All the kinetic energy will be transferred to the other body after the collision.

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In what direction will each of the wires below move?

Answers

Answer:

Explanation: ckeck this image

what is a geostationary satellite​

Answers

Answer:

See below

Explanation:

Geostationary satellites are placed in orbit above the equator at an orbital altitude of  35786 km in order to perfectly match the earth's rotation...thus they APPEAR stationary in the sky ..... then your DISH TV antenna (etc)  can point in one direction at them for continuous communication.    Or.... a spy or weather  satellite would be able to look at one section of the earth non-stop

A student wants to know: “How does the number of lightbulbs affect current in a series circuit?” Identify the independent and dependent variables in the experiment.

Answers

The number of  lightbulbs  in a series circuit will not affect the current flowing through them. The independent variable is resistance. The dependent variable is voltage.

What is current?

The current is the stream of charges which flow inside the conductors when connected across the end of voltage.

For the given set of series bulbs as resistors, the current flowing through all the bulbs will the same. Voltage is divided to each resistor.

From the Ohm's law, V =IR

R = V/I

Here, R is the proportionality constant. So, this is independent value.

The voltage difference across the resistors dependent on the current flowing through that resistance.

Thus, the number of  lightbulbs  in a series circuit will not affect the current flowing through them. The independent variable is resistance. The dependent variable is voltage.

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find potential at a point on the line , containing two charges " q " and " 4q " at a distance of " r " metres , where net E due to these charges is same.​

Answers

The potential at a point on the line will be,[tex]\rm E_{net}=\frac{5Kq}{r}[/tex].The net potential is the algebraic sum of the electric potential.

What is the electrical potential difference?

The amount of work performed in an electrical field to move a unit charge from one location to another is defined as the electrical potential difference.

In other terms, the potential difference is the difference in electric potential between two charged substances.

The traditional current flow is from positive to negative terminals, indicating the movement of positive charges in that direction.

[tex]\rm E_1 = \frac{Kq}{r} \\\\ E_2=\frac{K(4q)}{r}[/tex]

The potential at a point on the line is found as;

[tex]\rm E_{net}=E_1+E_2 \\\\\ E_{net}=\frac{Kq}{r} +\frac{K(4q)}{r} \\\\E_{net}=\frac{5Kq}{r}[/tex]

Hence, the potential at a point on the line will be,[tex]\rm E_{net}=\frac{5Kq}{r}[/tex]

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x(t)=t^2-2t+1 when does it comes to rest?​

Answers

Answer:

x(t) = t^2 - 2 t + 1       given

v = dx / dt = 2 t - 2 = 0

t = 1  

It comes to rest after 1 second

Explain between the cause of high probability of accidents of loaded vehicles in over speed on the basis of the first law of motion.​

Answers

Cause of high probability of accidents of loaded vehicles in over speed effected by momentum on the basis of first law of motion.

What does Newton's first law say?

When we are standing inside a bus and it brakes abruptly, due to inertia, we are thrown forward. When a car is going around a curve it is necessary for a force to act, otherwise the car will go in a straight line.

the cause of high probability of accidents of loaded vehicles in over speed occurs large amount of momentum.

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How do a neutron and a proton compare?
O
A. The proton has much greater mass.
O
B. The proton is farther from the nucleus.
O
C. They have opposite charges.
O
D. They are both found inside the nucleus.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The Correct choice is : D

Neutrons and Protons are collectively known as Neucleons because they are found in nucleus of the cell and they have almost equal mass, [ but neutron has slightly greater mass than proton ]. also, Neutrons are neutral particle with no charge on them, where as protons have positive charge on them. making nucleus positively charged altogether ~

Answer:

Option D

Explanation:

Remember that neutrons and protons both are found inside the nucleus.Electrons wander around themProtons have positive chargeElectrons have negative chargeNeutrons are neutral

Study the image.

Which of the following choices best explains how the lever made the task easier?

The final force on the rock was the same as the original force from the person and the distance the rock traveled was smaller than the original distance the lever moved, so the total work decreased.

The final force on the rock was greater than the original force from the person and the distance the rock traveled was smaller than the original distance the lever moved, but the total work remained the same.

The final force on the rock was smaller than the original force from the person and the distance the rock traveled was greater than the original distance the lever moved, so the total work stayed the same.

The final force on the rock was greater than the original force from the person and the distance the rock traveled was the same as the original distance the lever moved, so the total work increased.

Answers

The final force on the rock was smaller than the original force from the person and the distance the rock traveled was greater than the original distance the lever moved, so the total work stayed the same.

What is the law of conservation of energy?

The law of conservation of energy states that energy can neither be created nor destroyed but can be transformed from one form to another.

The total work done on the process will be conserved.

The lever is a simple machine which makes work easier by reducing the force applied to the load and increasing the distance traveled by the load.

Thus, the final force on the rock was smaller than the original force from the person and the distance the rock traveled was greater than the original distance the lever moved, so the total work stayed the same.

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A marble rolls off a tabletop 1.15 m high and hits the floor at a point 4 m away from the tables edge in the
horizontal direction.
a. How long is the marble in the air?
b. What is the speed of the marble when it leaves the tables edge?
Im/s
C. What is its speed when it hits the floor?

Answers

A marble rolls off a tabletop 1.15 m high and hits the floor at a point 4 m away from the edge of the table in the horizontal direction,

t= 0.45 seconds.V=2.22m/sVT=4.95 m/s

This is further explained below.

What is its speed when it hits the floor...?

Generally, the equation for motion is mathematically given as

S= ut + 0.5at²

Therefore

y = Voy t + 0.5gt^2

1 = 0.5x 98 x 6²

1=4.9t^2

[tex]t=\sqrt{0.2041 }[/tex]

t= 0.45 seconds.

b) Horizontal motions are uniform.

V=Horizontal displacement/time

V=1/0.45

V=2.22m/s

C)

Vx: 2.22 m/s At bottom,

Vy² = Voy² + 2as

Vy² = 2x95x1

Vy² = 19.6

Total velocity

[tex]VT=\sqrt{( 2.22 m/)^2+19.6}[/tex]

VT=4.95 m/s

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If I bought 59 kids off the black market in a secret door in the stalls and I sell 21 kids then ask for 81 more then 12 off the kids runaway in speed of 6 miles and I get in my ice cream truck/van and forget 9 kids and 4 kids out run my ice cream truck/van and I catch 8 of them How Many Do I Have? I'll give a Brainlist.​

Answers

You will be left with 106 kids

Meaning of word problem

A word problem can be defined as a mathematical problem that is written in word or written in a sentence format.

In a word problem, the student is expected to decode the sentence into a mathematical expression before solving

In conclusion, You will be left with 106 kids

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Question 4 (2 points)
Which one of the following is not a leg muscle?
a) Teres Major muscle
b) Plantaris tendon
c) Sartorius muscle
d ) Semimembranosus muscle

Answers

The answer is a) Teres Major Muscle

A is the correct answer

Which dog has the most kinetic energy? A. A dog of mass 12 kg running with speed 6 m/s B. A dog of mass 10 kg running with speed 3 m/s C. A dog of mass 16 kg running with speed 5 m/s D. A dog of mass 14 kg running with speed 4 m/s​

Answers

Answer:

A

Explanation:

KE = 1/2 m v^2

     the greatest is  A

please help and solve​

Answers

I am sorry I can not tell what the drawing is

Explanation:

the magnitude of the momentum of a car is 13,300 kg*m/s if it has a speed of 14 m/s what is the mass of the car?

Answers

950 kg. As p= mv So , m= p/v

Perform an experiment in which you roll a ball 43,700 cm before it comes to a stop. Write this measurement in scientific notation

Answers

The number 43,700 cm when written by the use of the scientific notation will be written as 4.37 * 10^4 cm.

What is the scientific notation?

The scientific notation involves writing a number in such a way that it does not involve a lot of digits. This methods helps us to save space that would have been used to write long digits.

Hence, the number 43,700 cm when written by the use of the scientific notation will be written as 4.37 * 10^4 cm.

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An object is placed at 0 on a number line. It moves 3 units to the right, then 4 units to the left, and then 6 units to the
right. What is the displacement of the object?
1
5
7
13

Answers

Answer: 5

Explanation: If you use a real graph it could be easier to check, but here’s it the easy way.

You start at 0, add 3 as you are going right on the right , subtract 4 as you are going left, then again add 6 as you are going right, and you should get 5.

0+3= 3

3-4= -1

-1+6= 5

<—————->
0
+3. =3
-4. = -1
+6 = 5

the answer is 5

As elements gain more electrons in their outer shells, their electrical
conductivity generally decreases. Which of the following explains this
phenomenon?

Answers

Electrical conductivity often decreases, when elements receive additional electrons in their outer shells. As a result of the valence shell being filled, the number of movable electrons decreases.

What is a mobile electron?

Electrons are mobile charges in the conduction band while holes are mobile charges in the valence band.

Current flow in a semiconductor is caused by charge carrier migration in both the conduction and valence bands.

Which creates a net motion of positively charged carriers in the same direction as the field and negatively charged carriers in the opposite direction as a result of the force.

The outermost electrons in metals are not bonded to each atom which is shared by many atoms. This decentralization is what allows metals to conduct electric currents.

Hence, the elements gain more electrons in their outer shells, and their electrical conductivity generally decreases.

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which of the following is a key to your success in this pe course

Answers

A key to an individual's success in this PE course is honesty.

What is PE?

PE is an acronym for physical education and it can be defined as a course (subject) which is taught in schools, so as to provide students with information on how to promote good health and physical fitness.

Some of the factors that affects a student's success in different physical education (PE) courses include the following:

Being in top physical shapeA good memoryGood eyesightHonesty

In this scenario, honesty is key to an individual's success in this PE course.

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Three sticks are arranged to form a right triangle. If the lengths of the three sticks are 0.47 m, 0.62 m and 0.78 m, what are the three angles of the triangle?

Answers

The angles in the triangle are 91 degrees, 53 degrees and 36 degrees respectively.

What is the cosine rule?

From the cosine rule we know that;

c^2 = a^2 + b^2 - 2abcosC

Since;

a = 0.47 m

b =  0.62 m

c =  0.78 m

Then;

(0.78)^2 = (0.47)^2 + (0.62)^2 - 2(0.47 * 0.62)cosC

0.61 = 0.22 + 0.38 - 0.58 cosC

0.61 - ( 0.22 + 0.38) = - 0.58 cosC

0.01 = - 0.58 cosC

C = cos-1(0.01/-0.58)

C = 91 degrees

Using the sine rule;

b/Sin B = c/Sin C

0.62/sinB = 0.78/sin 91

0.62/Sin B = 0.78

B = sin-1 (0.62//0.78)

B = 53 degrees

Angle A is obtained from the sum of angles in a triangle;

180 - (91 + 53)

A = 36 degrees

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Which of these units is most appropriate to use when measuring the mass of a person?

Answers

The SI unit of mass is the kilogram

The heat of fusion for ice at 0°C is 333.7 kJ/kg, the specific heat of water 4.186 kJ/kg °C, and the heat of vaporization of water
at 100°C is 2,256 kJ/kg. What is the energy needed to vaporize 100 grams of ice at starting at 0°C?
Select one:
500 kJ

Answers

The energy needed to vaporize 100 grams of ice at starting at 0°C is  300.83 kJ.

What is heating?

When the temperature is increased , the body or particle is said to be heating.

Given is the mass of water =100g =0.1 kg, Latent heat of fusion L = 333.7 kJ/kg,

Energy required to melt ice into water at 0°C.

Q₁ = mL

Q₁ = 0.1 x 333.7

Q₁ = 33.37 kJ

Energy required to heat water from  0°C to 100°C is

Q₂ = mCΔT

Q₂ = 0.1 x 4.186 x 100

Q₂ = 41.86 J

Energy required to vaporize at 100°C is

Q₃ = m Lv

Q₃ = 0.1 x 2256

Q₃ = 225.6 kJ

Total heat to vaporize 100 grams of ice at starting at 0°C is

Q = Q₁ +Q₂ +Q₃

Q = 33.37 +41.86 +225.6

Q = 300.83 kJ

Thus, the energy needed to vaporize 100 grams of ice at starting at 0°C is  300.83 kJ

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The day after a gun battle broke out during the Homestead Strike, Andrew Carnegie wrote this message in response to a cable from Henry Clay Frick:"Cable received. All anxiety gone since you stand firm. Never employ one of these rioters. Let grass grow over works. Must not fail now."How might the results of the conflict have been different if Henry Clay Frick had not followed Carnegie's instructions?A. The strikers might have achieved their goal of not taking a pay cut, and the union power would have been strengthened.B. The strikebreakers might have rejoined the strike, and the steel mill would have been forced to give in to the demands of the strikers.C. The strikers might have kept the strikebreakers from crossing the picket lines, and there would have been fewer strikes.D. The strikebreakers might have prevented the machines in the mill from working, and it would have shut down. 2. What is the volume of this prism?551.72217 cubic units28 cubic units1.7521.7 2. Which choice is an example of pollution?O bacteria in soilOsolid wastes on landOoxygen in the atmosphereOfish in rivers The place where buyers and sellers interact is called a _____.A. market segmentationB. market shareC. marketD. target market What motivated people to move from the countryside to the city after 1890?A Industrial jobsB better medical careC railroad expansion Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30 with the ground, and the maximum height to which it should rise is 1 meter, as shown below:A seesaw is shown with one end on the ground and the other in the air. The seesaw makes an angle of 30 degrees with the ground. The height of the seesaw from the ground, at the other end, is labeled 1 meter.What is the maximum length of the seesaw? Find the margin of error if p = 71% and n = 100. round to four decimal places. 0.2204 0.0041 0.0848 0.0908 A person suffering from amnesia has losttheir consciousness.TrueFalse Henna Company produces and sells two products, Carvings and Mementos. It manufactures these products in separate factories and markets them through different channels. They have no shared costs. This year, the company sold 58,000 units of each product. Income statements for each product follow. Carvings Mementos Sales $ 974,400 $ 974,400 Variable costs 779,520 194,880 Contribution margin 194,880 779,520 Fixed costs 46,880 631,520 Income $ 148,000 $ 148,000 rev: 09_29_2021_QC_CDR-376 Required: 1. Compute the break-even point in dollar sales for each product. (Enter CM ratio as percentage rounded to 2 decimal places.) What is the theoretical probability of drawing a blue marble from a bag containing 6 Green marbles, 9 yellow marbles and 5 blue marbles? What is the source of energy that drives the weathering process that results in the rounded shape of the boulder shown in the image?Energy from Earths hot interiorEnergy from Earths gravitational forceEnergy from the sunEnergy from changing moon phases Describe the mechanisms by which out-of-plane deformation in the laser formingprocess can occur. As part of your answer, identify the mechanism of laser formingwhich is active for the experimental results provided. What are streptococci?A. cocci that form a lineB. cocci that form clusters C. cocci that form a ring Match the personal zone with the situation1. social zone 2. intimate zone3. public zone 4. personal zone a goodnight kiss from Mom a business meeting in a conference room an informal conversation between friends a classroom lecture 1. Sue made a cookie cake for her friend's birthday. The diameter is 8 inches. The area of the cake isinches (round to the nearest hundredths place) 15 pointssss pls help no guessing or ill haunt you down Why did the introduction of sound into film initially impede the movements of actors ? How should a reader analyze indirect characterization? Select four options how to personify a pen Which issues slowed the speed ol industrialization in some countries? Check all that apply,limited government financinga lack of resourceseconomic problemsunskilled workerspolitical instability