Answers
Answer:
The most correct option for the magnitude of the velocity of the ship relative to the port is;
33 km/h
Explanation:
The given parameters of the cargo ship are;
The speed of the cargo ship = 25 km/h
The direction of the cargo ship, θ₁ = 20° North of East
The speed of the current = 10 km/h
The direction of the current, θ₂ = 15° North of East relative to the port
Therefore the direction of the ship relative to the port, 'θ', is given as the sum of θ₁ and θ₂ as follows;
θ = θ₁ + θ₂ = 20° + 15° = 35°
The component of the velocities relative to the port are given as follows;
The velocity of the ship, v₁ = 25·cos(35°)·i + 25·sin(35°)·j
The velocity of the current , v₂ = 10·cos(15°)·i + 10·sin(15°)·j
The velocity of the ship relative to the port, v = (25·cos(35°) + 10·cos(15°))·i + (25·sin(35°) + 10·sin(15°))·j
∴ v ≈ 30.14·i + 16.93·j
The magnitude of 'v' is [tex]\left | v \right |[/tex] = √(30.14² + 16.93²) ≈ 34.6
Therefore, the magnitude of the velocity of the ship relative to the port, [tex]\left | v \right |[/tex] ≈ 34.6 km/h.
Therefore, the closest correct option for the velocity of the ship relative to the port is 33 km/h
Answer:
The correct option for the magnitude of the velocity of the ship relative to the port is...
(33 km/h)
Related Questions
1. Which is an example of chemical potential
energy changing to kinetic energy?
A. a flag flapping in the wind
B. logs burning on a fire
C. using a battery in a flashlight
D. burning fuel to move a car
Answers
Other than the resultant force acting on an object what else do you need to know to calculate the acceleration??
Answers
so the answer is mass
In addition to the resultant force acting on an object, the mass of the object should be known to find the acceleration. So, the mass is the answer.
Newton's second law of motion states that
a = F / m
Where:
a is the acceleration of the object,
The net force acting on the object is F
m is the mass of the object.
By dividing the net force (F) by the mass (m), you can determine the acceleration (a) of the object.
So, both the net force and the mass are necessary to calculate the acceleration. So, the mass is the answer.
To know more about mass:
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5 points
A car, of mass 1600 kg, is travelling at a speed of 20 m/s when the driver
applies the brakes. The car decelerates at a constant rate and stops. The
braking force used to stop the car and driver was 8000 N. Calculate the
braking distance of the car in m. This is a two step problem, you must
calculate a value and use it to find the final answer.
Answers
Answer:
The braking distance of the car is 40 m
Explanation:
The two steps are;
1) Calculation (finding) of the initial kinetic energy , K.E., of the car
2) Calculation (finding) of the braking distance from the calculated K.E., of the car
The initial Kinetic energy of the car, K.E. = 1/2×m×v²
Where;
m = The mass of the car = 1,600 kg
v = The velocity of the car = 20 m/s
∴ K.E. = 1/2 × 1,600 kg × (20 m/s)² = 320,000 joules
2) The work done in stopping the car, W = The braking force, 'F' × The braking distance, 'd'
∴ W = F × d
Where;
F = The braking force = 8,000 N
d = The braking distance of the car
By energy conservation principle, the work, 'W', that is required to stop the car = The initial kinetic energy of the car, K.E.
∴ W = K.E. = 320,000 joules
Therefore, by substituting the known values for the variables, we have;
320,000 J = 8,000 N × d
∴ d = 320,000 J/(8,000 N) = 40 m
The braking distance of the car, 'd' = 40 m.
1 poir
2. An upward force is applied to lift a 15 kg box to a height of 5 m at a constant speed. How
nlich work is done on the box?
500 J
65 J
150 J
735 J
Can you please help me
Answers
Answer:
D) 735 J(oules)
Explanation:
Work is defined as force * distance
Force is defined as mass * acceleration
Given a mass of 15 kg and a gravitational acceleration of 9.8 m/s² since the box is being lifted up, the force being applied to the box is 15 kg * 9.8 m/s² = 147 N
Since the distance is 5 meters, the work done is 147 N * 5 m = 735 N/m = 735 J, making D the correct answer.
Complete the statements about convection currents. Convection currents occur in fluids because of temperature and differences. Convection currents transfer energy throughout a fluid. They continue until all of the fluid is at the same temperature.
Answers
Answer:
density; thermal
Explanation:
Convection currents occur in fluids because of temperature and density differences. Convection currents transfer thermal energy throughout a fluid.
When a fluid is heated, the molecules closest to the heat source gets heated first and their temperature is raised. The rise in temperature lowers their density and as such, they move to the upper portion of the fluid to be replaced by yet-to-be-heated molecules at the upper portion.
When the replacement molecules also get heated, the same process occurs and a to-and-from rotational movement of molecules, also known as convection current, is created within the fluid. The to and from movement, thus, transfer thermal energy within the fluid until all the molecules within the fluid are at the same temperature.
Answer
density; thermal
Explanation:
its right i just did it
how do crumple zones extend the deceleration of a car?
how do crumple zones help redistribute the force of an impact?
Answers
Answer:
Uv rays
Explanation:
ultraviolet rays of the suun gives force
Answer:
what zones
Explanation:
I can't understand
like which energy changes are involved
which energy it was first and which it was converted into
Answers
Answer:
turtle
Explanation:
Relative speed depends on the individual speeds and
A. direction
C. friction
E. all of the above
B. mass
D. resistance
Answers
The two factors that relative speed overall depends on are individual speed and direction.
ANSWER QUICK! In an experiment, a scientist places human red blood cells in seawater. What changes do you think would be made to the red blood cells due to osmosis? Cite facts about osmosis to support your prediction.
Answers
Red blood cells placed in a solution with a lower water concentration compared to their contents (eg 1.7 per cent salt solution) will lose water by osmosis and shrink. Water will diffuse from a higher water concentration inside the cell to a lower water concentration outside the cell.
The diagram above shows the process of natural selection. What is X?
Competition
Evolution
Mimicry
Reproduction
Answers
Answer:
Reproduction
Explanation:
because reproduction produces variation within the species allowing the species to survive selection
Answer: D = reproduction
Explanation:
NEED HELP ASAP
thanks+BRAINLIST a only for correct answers
Thank you!
1.which type of image is right side up but left and right are reversed
A.real
B.virtual
2.Real images are:
A.always inverted
B.magnified or diminished
C.can be obtained on screen
D.all the above
Answers
Answer:
see below
Explanation:
1) B, virtual because the when you stand in front of a mirror, the image formed is virtual and Image is laterally inverted
2) D because, when using converging lens , real image is formed, it is inverted and it can also be magnified or diminished when the object is placed at different focal length.
real image can be captured on the screen because light rays meet at the image position
when using converging lens, the image formed if it is virtual is upright.
hope this helps
Plzzzz help me!! Plz don’t guess, than you!!
Answers
Answer:
The answer is W
What is the GPE of a 15,000 kg airplane sitting on the ground?
A. 150,000 J
B. 1,500,000 J
C. 0 J
D. 15,000 J
Answers
Answer:
C, it is not moving
it has no potential
hey, what is rectilinear propagation of light ?
Answers
Please leave a thanks <3
Describe the movement of the Moon.
Someone please help with this one and the other I posted, I have two hours till it’s due :(
Answers
Answer:
The Moon spins in space in a movement called rotation. Oddly enough, it also takes the Moon about 27 days to spin around once (which is much slower than Earth's rotation, which only takes 24 hours). That means the Moon goes all the way around Earth in the same amount of time it takes to spin around just once!
Which correctly describes have any giveaway on the electromagnetic spectrum depends on the wavelength and frequency
Answers
Answer:
c = λ f
Explanation:
In the electromagnetic spectrum, the wavelength and frequency of a specific radiation are related to the speed of the wave, which in this case the speed of light
c = λ f
where c is the speed of light, λ the wavelength and f the frequency of radiation
Of the many functions of the skeletal system, which is directly helpful to the circulatory system?
stores calcium and phosphorus
stores calcium and phosphorus
provides an attacment point for muscles
provides an attacment point for muscles
produces blood cells
produces blood cells
provides shape and support for the body
provides shape and support for the body
protects internal organs
protects internal organs
Answers
Answer:
It provides shape and support for the body
Explanation:
Providing shape and support for the body is one of the many functions of the skeletal system, which is directly helpful to the circulatory system. Thus, the correct option is D.
What are the functions of Skeletal system?The skeletal system is the body's central framework. This system consists of bones and connective tissue, including the cartilage, tendons, and ligaments. The system is also called the musculoskeletal system. It is made up of 206 bones.
The human skeleton serves six main functions which are providing support, movement of the body, protection, production of blood cells such as red blood cells and white blood cells, storage of ions such as calcium and phosphorus, and the endocrine regulation. Bone is a hard, dense connective tissue which is responsible for forming most of the adult skeleton, the support structure of the body of an organism.
Providing shape and support for the body is the function which is directly helpful to the circulatory system of the body.
Therefore, the correct option is D.
Learn more about Skeletal system here:
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what allows electrons to move through it easily
Answers
Answer:
materials that allow many electrons to flow freely are caused conductors such as copper, silver, aluminum, hydrochloric solution, sulfuric acid, and salt water. in contrast materials which allow few electrons to flow are called insulators such as plastic, rubber, glass, and dried paper.
Explanation:
Hope this helped Mark BRAINLEST!!
what hapenes to the wavelength of a wave if the frequency of the wave is increased?
Answers
Answer: The number of complete wavelengths in a given unit of time is called frequency (f). As a wavelength increases in size, its frequency and energy (E) decrease. From these equations you may realize that as the frequency increases, the wavelength gets shorter. As the frequency decreases, the wavelength gets longer.
Explanation:
What happens to the electrons when the atoms are close but not touching?
Answers
Answer:
If the atoms get two close then the nuclii will repell each other.
Explanation:
Since electrons are negative they are attracted to the nucleus because it is positive. If two atoms get close enough together then the electrons of each atom will be attracted to both nuclii.
3) In the numbers: 0, 1, 2, 3, 4, 5; which number will you read properly
in mirror? Explain
Answers
Answer:
it'll be 0
Explanation:
A bowling ball is thrown at a distance of 0.5 m toward the pins. If it takes the
bowling ball 2.3 seconds to reach the pins, what is the speed of the bowling
ball?
Answers
Answer:
Speed = 0.217 m/s
Explanation:
Given the following data;
Distance = 0.5m
Time = 2.3 seconds
To find the speed;
Speed = distance/time
Speed = 0.5/2.3
Speed = 0.217 m/s
Therefore, the speed of the bowling
ball is 0.217 meter per seconds.
If a book was to fall from the shelf, how fast would it be moving just before hitting the floor?
Answers
Answer:
0 becouse it will still before falling
Explanation:
If you are at the top of a hill on a roller coaster at rest and you are able to complete a loop with a radius of 30 m,
a) find the minimum speed to complete the loop (hint: this is a circular motion problem)
b) find the minimum height of the hill to complete the loop
Answers
Answer:
Explanation:
People are wild about amusement parks. Each day, we flock by the millions to the nearest park, paying a sizable hunk of money to wait in long lines for a short 60-second ride on our favorite roller coaster. The thought prompts one to consider what is it about a roller coaster ride that provides such widespread excitement among so many of us and such dreadful fear in the rest? Is our excitement about coasters due to their high speeds? Absolutely not! In fact, it would be foolish to spend so much time and money to ride a selection of roller coasters if it were for reasons of speed. It is more than likely that most of us sustain higher speeds on our ride along the interstate highway on the way to the amusement park than we do once we enter the park. The thrill of roller coasters is not due to their speed, but rather due to their accelerations and to the feelings of weightlessness and weightiness that they produce. Roller coasters thrill us because of their ability to accelerate us downward one moment and upwards the next; leftwards one moment and rightwards the next. Roller coasters are about acceleration; that's what makes them thrilling. And in this part of Lesson 2, we will focus on the centripetal acceleration experienced by riders within the circular-shaped sections of a roller coaster track. These sections include the clothoid loops (that we will approximate as a circle), the sharp 180-degree banked turns, and the small dips and hills found along otherwise straight sections of the track.
what is rickrolling
...
Answers
Answer:
"a prank and an Internet meme involving an unexpected appearance of the music video for the 1987 Rick Astley song "Never Gonna Give You Up". The meme is a type of bait and switch using a disguised hyperlink that leads to the music video."
Explanation: G O O G L E
Answer:
here:Rick Astley - Never Gonna Give You Up (Official Music Video)
Explanation:
A vector has components A x = 7.6 m and A y = 15.9 m. What is the angle (in degrees that vector makes with the x-axis?
Answers
Answer:
θ = 64.5º
Explanation:
To find the angles of a vector with respect to some axis of a coordinate system, the tangent function is used.
tan θ = [tex]\frac{y}{x}[/tex]
where y is the opposite leg and x is the adjacent leg
in this case the angle is
θ = tan⁻¹ [tex]\frac{A_y}{A_x}[/tex]
let's calculate
θ = tan⁻¹ [tex]\frac{15.9}{ 7.6}[/tex]
θ = tan⁻¹ 2.09
θ = 64.5º
this angle is with respect to the positive pâté of the x axis
As the amplitude of a mechanical wave increases, which of the following quantities
increases?
A.wavelength
B.frequency
C.energy
D.speed
Answers
.c ...energy
Explanation:
Amplitude does not affect wavelength. It also does not affect wave speed. Amplitude is the energy of the wave measured from the rest position to the top of the crest. A wave with more energy has a higher up crest/ higher amplitude.
As the amplitude of a mechanical wave increases, the quantity which increases is: C. energy.
What is a mechanical wave?A mechanical wave can be defined as a type of wave that requires a medium for its propagation and it creates a disturbance in the medium. Thus, a good example of mechanical wave is sound wave, which is typically transported in a perpendicular direction.
What is amplitude?Amplitude refers to the maximum displacement of a wave when measured from its equilibrium position. Also, the amplitude of a mechanical wave has no effect on the following:
WavelengthSpeedFrequencyRead more on wave here: https://brainly.com/question/19250621
The graph is the path Beth took on a walk.
A graph with horizontal axis time (seconds) and vertical axis position in (meters). The line runs in 2 straight segments from 0 seconds 2 meters to 6 seconds 8 meters to 10 seconds 0 meters.
What does the line from time 6 to 10 indicate?
Beth slowed down considerably.
Beth went back toward her origin.
Beth sped up considerably.
Beth went farther away from origin
Answers
Answer:
Beth went back toward her origin
Explanation:
Answer:
B
Explanation:
Hope this helps :)
What is the net force on a refrigerator that you push with an applied force of 125 N to the right and the (sliding) friction between the floor and the fridge is 95 N to the left? (b) As you increase the force applied to the fridge, will the friction force also increase? Explain. Hint: remember the force of friction between solid surfaces does not depend on speed
Answers
Answer:
hola
Explanation:
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A hydrogen atom has a radius of 2.5 x 10-11 m
Determine the radius of a magnesium atom.
Answers
Answer:
[tex]R = 1.5* 10^{-10}m[/tex]
Explanation:
Given
[tex]r = 2.5 * 10^{-11}m[/tex] -- radius of hydrogen atom
See attachment
Required
Determine the radius of magnesium atom (R)
From the attachment, the ratio of a hydrogen atom to a magnesium atom is:
[tex]Ratio = 6mm : 36mm[/tex]
Simplify
[tex]Ratio =1 : 6[/tex]
Represent the radius as ratio:
[tex]Ratio = r : R[/tex]
Substitute [tex]r = 2.5 * 10^{-11}m[/tex]
[tex]Ratio = 2.5 * 10^{-11}m : R[/tex]
Equate both ratios
[tex]2.5 * 10^{-11}m : R = 1 : 6[/tex]
Express as fraction
[tex]\frac{2.5 * 10^{-11}m}{R} = \frac{1}{6}[/tex]
Cross Multiply
[tex]R * 1 = 2.5 * 10^{-11}m * 6[/tex]
[tex]R * 1 = 2.5 * 6* 10^{-11}m[/tex]
[tex]R * 1 = 15* 10^{-11}m[/tex]
[tex]R = 15* 10^{-11}m[/tex]
[tex]R = 1.5*10* 10^{-11}m[/tex]
[tex]R = 1.5* 10^{1-11}m[/tex]
[tex]R = 1.5* 10^{-10}m[/tex]
Hence, the radius of the magnesium atom is: [tex]1.5* 10^{-10}m[/tex]