83. A sailboat travels south at 12.0 km/h with respect to the
water against a current 15.0° south of east at 4.0 km/h.
What is the boat's velocity?

Answers

Answer 1

Answer:

The magnitude of the boat's velocity is 8.21 km/h.

Explanation:

We can find the boat's velocity as follows:

[tex] \Epsilon V_{x} = V_{w_{x}} + V_{b_{y}} [/tex]            

[tex] \Epsilon V_{y} = V_{w_{y}} + V_{b_{y}} [/tex]

Where:

[tex]V_{w_{x}}[/tex] and [tex]V_{w_{y}}[/tex] are the components of the velocity of the water in the x and y-direction

[tex]V_{b_{x}}[/tex] and [tex]V_{b_{y}}[/tex] are the components of the velocity of the boat in the x and y-direction

Since the angle is 15° we have:

[tex] \Epsilon V_{x} = -4.0 km/h*sin(15) + 0 = -1.04 km/h [/tex]  

[tex] \Epsilon V_{y} = 4.0 km/h*cos(15) - 12.0 km/h = -8.14 km/h [/tex]

Now, the velocity of the boat is:  

[tex] V = \sqrt{V_{x}^{2} + V_{y}^{2}} = \sqrt{(-1.04 km/h)^{2} + (-8.14 km/h)^{2}} = 8.21 km/h [/tex]

Therefore, the magnitude of the boat's velocity is 8.21 km/h.

I hope it helps you!


Related Questions

(image is attached)

On a multimeter, we observe the following scales: 2 V, 20 V, and 200 V

The best scale for measuring the voltage across the terminals of the dry cell in the adjacent figure, is:

a- 2 V
b- 20 V
c- 200 V​

Answers

Answer:

the best scale for measyring the voltage across dry cell is 20 V

Which two terms best describe the gravitational force?

strongest, repulsive
weakest, repulsive
strongest, attractive
weakest, attractive

Answers

Answer:

D. Weakest, Attractive

Explanation:

Gravitational Force is the weakest force out of the four forces, and Gravity attracts objects towards another so the answer has to be D.

Got this correct on Edge 2021.

Hope this helped!

Answer:

D

Explanation:

EDGE 2021

WILL MARK BRAINLIEST FOR THE CORRECT ANSWER AND EXPLANATION
When traveling at top speed, a roller coaster train with a mass of 12,000 kg has a velocity of 30 m/s. The kinetic energy of the train at top speed is
J.____
Given this kinetic energy, what is the tallest hill this roller coaster train can reach the top of?
The train can climb a hill that is
m.____high.

Answers

Answer:

Kinetic energy = 5400000 J

Height, h = 45.91 m

Explanation:

It is given that,

Mass of the roller coaster train, m = 12,000 kg

Velocity of the train, v = 30 m/s

Kinetic energy is given by :

KE=\dfrac{1}{2}mv^2KE=

2

1

mv

2

KE=\dfrac{1}{2}\times 12000\ kg\times (30\ m/s)^2KE=

2

1

×12000 kg×(30 m/s)

2

KE=5400000\ JKE=5400000 J

So, the kinetic energy of the train at the top speed is 5400000 J.

For height

According to law of conservation of energy :

PEni+KE i=PE f+KE fPE i +KEi

=PEf +KE f

0+5400000\ J=mgh+00+5400000 J=mgh+0

5400000\ J=mgh5400000 J=mgh

h is the height.

5400000\ J=12000\ kg\times 9.8\ m/s^2\times h5400000 J=12000 kg×9.8 m/s

2

×h

h=45.91\ mh=45.91 m

Hence, this is the required solution.

human impact on the environment


human activity/strategy/advantages and disadvantages PLEASE ANYONE I NEED THIS ASAP

Answers

Answer:

we have caused global warming, we have caused the enhanced green house effect

PLS ANSWER FAST WILL GIVE BRAINLEST!!!!

Calculate the missing variables using the necessary formula and rules using "FORCE"



A theme park ride carriage with a mass of 1 000 kg needs to be accelerated at 0.5 m/ s2 along a track. what force is required to move the carriage

Answers

Answer:

F = 500 N

Explanation:

F = m × a

F = 1,000 × 0.5

F = 500 kg m/s²

F = 500 N

The odometer of a car reads 57321 km when the clock shows the time 8.30 am. What is the distance moved by the car, if at 8.50 am, the odometer reading has changed to 57336.0 km? Calculate the speed of the car in km/min during this time.

Answers

Answer:

0.75km/min

Explanation:

I haven't learnt physics at all but I'll try

57336 - 57321 = 15km (Difference)

8.50 am - 8.30 am = 20 minutes (Difference)

If the car odometer adds up 15km every 20 minutes...

20 mins = 15km

1 min = 15 ÷ 20 = 0.75km

Sound waves are a type of compression wave. In a compression wave, we have areas of compaction and also areas of rarefaction. In
the areas of compression, particles are pushed together and in areas of rarefaction, particle spread apart. Sound waves are different
from light waves in several ways and one is in the type of wave. Light waves are transverse waves that have crests or peaks and
troughs or dips. Which model best shows us a light or transverse wave with very high crests and very low troughs?

Answers

Answer: C

Explanation:

The model which represents best of transverse wave with very high crests and low troughs is the third graph. Hence, option C is correct.

What is Sound?

Sound is a physical perturbation from an equilibrium position that travels through an elastic medium of material. It is also possible to define sound solely subjectively, as that which is regarded by the ear, but this definition lacks clarity and is overly constrictive because it is useful to discuss sounds that are produced by devices other than the human ear, such as dog whistles and sonar hardware, which cannot be done here by the auditory system.

The characteristics of sound waves should be examined first in any study of sound. Transverse and longitudinal waves are the two fundamental forms of waves, and they differ by the direction wherein they move.

The first graph is uniform trough and crest, but the third one has higher crest but lower trough.

To know more about Sound:

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Why is it advantageous to have two Eyes?​

Answers

Answer:para enxergar

Explanation:

What is the volume of this bubble when it reaches the surface?

Answers

Answer:

Volume will be 15 mL. Solution:- If we look at the given information then it is Boyle's law as the temperature is constant and the volume changes inversely as the pressure changes. So, the volume of the air bubble at the surface will be 15 mL.

1.Particles are spaced the farthest apart in _____ and are the closest in ______. Select the answer that best completes the sentence.
liquids; solids
gases; liquids
solids; gases
gases; solids

Answers

Answer:

gases; solids.

Explanation:

gases take up the most volume, meaning the particles are more spread apart (disorder, entropy, etc. if you are familiar with those). solids have the particles closer together, opposite of gases.

Particles are spaced the farthest apart in gases and are the closest in solids.

Gases consist of very large numbers of tiny spherical particles that are far apart from one another compared to their size. Gas particles are in constant rapid motion in random directions.

The particles in solids are arranged in a regular way. The particles in solids move only by vibrating about a fixed position. This gives solids a fixed shape and means that they cannot flow like liquids. The hotter a solid gets, the faster its particles vibrate.

What are particles ?

"A particle is a small piece of anything. Particle can also refer to a subatomic particle with mass and structure, but takes up hardly any space at all. Particles are tiny."

Know more about particles here

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Circe the different elements in each of the following compounds (H2O, C6H12O6, OH, CO2, and BrOH

Answers

1. H2 O
2. C6 H12 O6
3. O H
4. C O2
5. Br O H.

A biker with a mass of 75 kg moves along the path with a constant velocity of 5 m/s
What is the biker's momentum?

Answers

Answer:

[tex]375\ \text{kg m/s}[/tex]

Explanation:

[tex]m[/tex] = Mass of biker = [tex]75\ \text{kg}[/tex]

[tex]v[/tex] = Velocity of bike = [tex]5\ \text{m/s}[/tex]

Momentum is given by the product of mass and velocity so,

[tex]p=mv[/tex]

[tex]\Rightarrow p=75\times 5[/tex]

[tex]\Rightarrow p=375\ \text{kg m/s}[/tex]

The momentum of the biker is [tex]375\ \text{kg m/s}[/tex].

The biker's momentum will be "375 kg m/s".

Momentum and Velocity

The proportion or resultant of a subatomic particle mass as well as the speed. Momentum would be a vector quantity, which means it does have a magnitude and therefore an orientation or directions.

According to the question,

Biker's mass, m = 75 kg

Biker's velocity, v = 5 m/s

We know the relation,

Momentum = Mass × Velocity

or,

→ p = mv

By substituting the values, we get

      = 75 × 5

      = 375 kg m/s

Thus the above answer is correct.

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WHICH ROLLER COASTER CART HAS THE LEAST POTENTIAL ENERGY DUE TO GRAVITY?

Answers

Answer:

C. Car A

Explanation:

if the answer is: which roller coaster car has the greatest potential energy due to gravity brainly

Answer: Car C

Explanation:

A P E X

The displacement of a wave from the baseline.this affects thrloudness of sound

Answers

Answer:

Amplitude is the fluctuation or displacement of a wave from its mean value. With sound waves, it is the extent to which air particles are displaced, and this amplitude of sound or sound amplitude is experienced as the loudness of sound. ... It means that maximum amount the wave varies from the baseline or equilibrium.

Explanation:

Antenna size of TVs and cell phones is related to the size of the _________ used by the technology.

Answers

Answer:

Electromagnetic waves.

Explanation:

Electromagnetic waves is a propagating medium used in all communications device to transmit data (messages) from the device of the sender to the device of the receiver.

Antenna size of TVs and cell phones is related to the size of the electromagnetic waves used by the technology.

This ultimately implies that, size of the electromagnetic waves plays a significant role in choosing the appropriate size for antennas used in all telecommunications device such as television, mobile phone, radio, satellite, etc.

Generally, the most commonly used electromagnetic wave technology in telecommunications is radio waves.

Radio waves can be defined as an electromagnetic wave that has its frequency ranging from 30 GHz to 300 GHz and its wavelength between 1mm and 3000m. Therefore, radio waves are a series of repetitive valleys and peaks that are typically characterized of having the longest wavelength in the electromagnetic spectrum.

Basically, as a result of radio waves having long wavelengths, they are mainly used in long-distance communications such as the carriage and transmission of data.

What do document examiners use chromatography for?

Answers

Liquid chromosome can used to determine what the chemical composition of the inks used on the document are.

need some help !!!!!!!!!

Answers

Answer:

B. electromagnetic waves

the waves that travel through empty fence are electromagnetic:))) I hope this helps!!!

Amanda works as an industrial designer. Her Adjusted Gross Income (AGI) is $60,000. Due to an emergency, she had to spend $6,500 on medical expenses. Is she eligible for a tax deduction, and if so, how much?

Answers

Answer:

Yes,

Explanation:

Yes, Amanda is eligible for a tax deduction. Because of her medical expense. Her medical expense is $6,500 and it exceeds 7.5% of her adjusted gross income which is $60,000.

7.5% of $60,000 = 7.5/100 * 60000

7.5% of $60,000 = $4,500.

If 7.5% is $4,500, and her medical expenses is $6,500, then she's eligible for a tax deduction

Answer:

I think C.

Explanation:

I'm not sure

The acceleration due to gravity on the moon is about 1.6 m/s. If you weigh 539N on earth, how much would you way on the moon.

Answers

Answer:

Weight = 88N

Explanation:

Given the following data;

Acceleration due to gravity on moon = 1.6m/s²

Weight on earth = 539N

To find the weight on moon.

First of all, we would calculate the mass;

Weight = mass * acceleration due to gravity.

We know that acceleration due to gravity on earth is equal to 9.8m/s²

Substituting into the equation, we have;

539 = mass * 9.8

Mass = 539/9.8

Mass = 55 kg.

Now, we solve for the weight on moon.

Weight = 55 * 1.6

Weight = 88N

(ii) Electromagnetic waves transfer energy.
Give 6 examples of the transfer of energy by EM waves, 3 which are useful and 3 which are a nuisance.

Answers

Explanation:

6 examples

radio wave

infrared ray

visible light ray

ultraviolet ray

microwave

gamma ray

3 which are useful

infrared ray

radio waves

gamma ray

how to make, and put out a fire in the SAFEST way.

Answers

Answer:

Surround the area of fire with water so the fire cant spread.  And after, pour water on the fire.  Always surround the fire first to stop it from spreading.  When handling fire there are no specific "safe" ways but this is probably the best way to go orby fire estinguisher which is probably the easiest if you have one nearby which usually you should or do have.

I hope I helped.  Pls mark brianliest if it helps.  Bye, take care:)

A ball rolls across the floor at a constant speed, what will happen to it if there is no friction?

Answers

the ball will stay moving at the same rate of speed until something happens and stop it

how heat is produced from alcohol

Answers

The alcohol combustion reaction releases heat energy and is an example of an exothermic reaction.

B. What types of energy conversions took place in your body that allowed you to complete the laboratory activity

Answers

Answer:

See the explanation below

Explanation:

Energy can neither be created nor destroyed but can be transformed from one form to another.

When we eat food the chemical energy in the food is transformed to kinetic energy that enables us to do work in the laboratory

Which question requires the collection of data to answer it?
A. Do dolphins make good pets?
B. How many hours a day do dolphins sleep?
C. Should dolphins be trained for military uses?
D. Are dolphins cuter than porpoises?
SUBMIT

Answers

Answer:

B

Explanation:

All the other ones are opinions or opinion based

The question that how many hours a day dolphins sleep requires the collection of data to answer it. Hence, option B is correct.

What are dolphins?

Dolphins are small-toothed cetaceans that are distinguished by their always open, curving mouths. Every ocean contains one of the 36 dolphin species. The majority of dolphins are marine mammals that inhabit the sea or coastal environments with brackish water. However, there are a few species that live in freshwater streams and rivers, including the South Asian river dolphin and the Amazon River dolphin, or boto.

The orca, the biggest dolphin, can reach lengths of more than 30 feet. The Maui dolphin, which is the smallest, is only five feet long.

Dolphins mostly consume fish and squid, which they can locate via echolocation, an inbuilt sonar system that reflects sound waves off prey to disclose details about its location, size, and shape. Up to a thousand clicking sounds can be heard every second from an echo locating bottlenose dolphin.

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train with a mass of 485000 kg. suppose the train is traveling northwest along a straight track at a speed of 20m/s. what force must the train exert to increase its velocity to 25.0m/s to the northwest in 5.00s

Answers

Answer:

Force = 485000 Newton.

Explanation:

Given the following data;

Mass = 485000 kg

Initial velocity = 20m/s

Final velocity = 25m/s

Time, t = 5 seconds

To find the force;

First of all, we would calculate the acceleration of the train i.e the rate of change of the velocity of the train with respect to time.

Mathematically, acceleration is given by the equation;

[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]

[tex]a = \frac{v - u}{t}[/tex]

Where;

a is acceleration measured in [tex]ms^{-2}[/tex]

v and u is final and initial velocity respectively, measured in [tex]ms^{-1}[/tex]

t is time measured in seconds.

Substituting into the equation, we have;

Acceleration = (25 - 20)/5

Acceleration = 5/5

Acceleration = 1m/s²

Force is given by the multiplication of mass and acceleration.

Mathematically, Force is;

Force = mass * acceleration

Force = 485000 * 1

Force = 485000 Newton.

Q2. True or False? A force is a push or a pull that acts on
an object due to the interaction with another object.

Answers

It is true ISHAHAAIWHAAOAWHSUS

Answer:

True

Explanation:

----------------

Plz help with these 5 The backbone is made up of 26 small bones called ___________. What are the characteristics of bones? (list 7) What role do joints play? What are the two types of joints? What are ligaments?

Answers

Answer:

The backbone, spine or vertebral column is made up of 26 small bones called the vertebrae.

The characteristics of bones include:

1. They are strong and rigid

2. They are composed of bone cells called osteocytes.

3. They are lightweight

4. They have a honeycomb-like matrix internally, which helps to give them rigidity.

5. They exist in various types and shapes.

6. They have the ability to grow and repair when damaged

7. They contain inorganic minerals such as calcium and phosphate

The two types of joints are the movable and immovable joints.

Ligaments are bands of tough elastic fibrous tissue around that found around the joints whose function is to link bone to bone, give support to joints as well as limit their movement.

Explanation:

The backbone, spine or vertebral column is made up of 26 small bones called the vertebrae. The 26 small bones include 24 separate vertebrae interspaced with cartilage, and then additionally the sacrum and coccyx. The vertebral column is divided into five regions: cervical, thoracic, lumbar, sacral and coccygeal regions.

A bone is a rigid tissue that is part of the skeleton in vertebrate animals. The characteristics of bones include:

1. They are strong and rigid

2. They are composed of bone cells called osteocytes.

3. They are lightweight

4. They have a honeycomb-like matrix internally, which helps to give them rigidity.

5. They exist in various types and shapes.

6. They have the ability to grow and repair when damaged

7. They contain inorganic minerals such as calcium and phosphate

Joints are the junctions where two bones meet. They serve various functions which include allowing for movement of the body and binding the skeleton together.

The two types of joints are the movable and immovable joints.

Ligaments are bands of tough elastic fibrous tissue around that found around the joints whose function is to link bone to bone, give support to joints as well as limit their movement.

Answer:

5. Vertebrae

Explanation:

A back bone made up of 26 small bones is called a vertebrae.

how do I find the third nodal for this question, and how do I answer the question c and d?​

Answers

Answer:

my answer is C.

Explanation:

I hope my answer can help you

Answer: The answer would be C

Explanation:

d) Has a typo and c) is the right answer. It tells us what the technician is doing

A 10 kg bowling ball would require what force to accelerate down an alley at a rate of 3 m/s2? what is the net force? ​

Answers

Answer:

a. Force = 30N

b. Fnet = 128N

Explanation:

Given the following data;

Mass = 10 kg

Acceleration = 3m/s²

a. To find the force;

Force = mass * acceleration

Substituting into the equation, we have

Force = 10 * 3

Force = 30N

b. To find the net force;

Mathematically, net force is given by the formula;

Fnet = Fapp + Fg

Where;

Fnet is the net force. Fapp is the applied force. Fg is the force due to gravitation.

We know that acceleration due to gravity is equal to 9.8m/s²

To find the gravitational force;

We know that acceleration due to gravity, g = 9.8m/s²

Fg = mg = 10*9.8 = 98N

Substituting into the equation, we have;

Fnet = 30 + 98

Fnet = 128N

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