Vector A has a magnitude of 8.0 m and points 30 degrees north of east; vector B has a magnitude of 6.0 m and points 30 degrees west of north; and vector C has a magnitude of 5.0 m and points 30 degrees west of south. The resultant vector A + B + C is given by:
A) 2.1 m at an angle 66 degrees east of north.
B) 5.9 m at an angle 74 degrees north of east.
C) 2.7 m at an angle 74 degrees north of east.
D) 5.1 m at an angle 74 degrees north of east.
E) 4.8 m at an angle 74 degrees east of north.
The resultant vector A + B + C is approximately 5.1 m at an angle 74 degrees north of east.
To find the resultant vector A + B + C, we need to break down each vector into its horizontal (x) and vertical (y) components, and then add them together.
Given:
Vector A: magnitude = 8.0 m, angle = 30 degrees north of east
Vector B: magnitude = 6.0 m, angle = 30 degrees west of north
Vector C: magnitude = 5.0 m, angle = 30 degrees west of south
Let's calculate the x and y components for each vector:
For Vector A:
A_x = 8.0 m × cos(30°)
A_x = 8.0 m × 0.866
A_x ≈ 6.928 m
A_y = 8.0 m × sin(30°)
A_y = 8.0 m ×0.5
A_y = 4.0 m
For Vector B:
B_x = 6.0 m × sin(30°)
B_x = 6.0 m × 0.5
B_x = 3.0 m
B_y = 6.0 m × cos(30°)
B_y = 6.0 m × 0.866
B_y ≈ 5.196 m
For Vector C:
C_x = 5.0 m × sin(30°)
C_x = 5.0 m ×0.5
C_x = 2.5 m
C_y = 5.0 m × cos(30°)
C_y = 5.0 m × 0.866
C_y ≈ 4.33 m
Now, let's add up the x and y components:
Resultant x component = A_x + B_x + C_x
Resultant x component = 6.928 m + 3.0 m + 2.5 m
Resultant x component ≈ 12.428 m
Resultant y component = A_y + B_y + C_y
Resultant y component = 4.0 m + 5.196 m + 4.33 m
Resultant y component ≈ 13.526 m
Finally, we can find the magnitude and angle of the resultant vector:
Resultant magnitude = sqrt((Resultant x component)² + (Resultant y component)²)
Resultant magnitude = sqrt((12.428 m)^2 + (13.526 m)^2)
Resultant magnitude ≈ 18.015 m
Resultant angle = arctan(Resultant y component / Resultant x component)
Resultant angle = arctan(13.526 m / 12.428 m)
Resultant angle ≈ 48.413°
Considering the answer choices provided:
A) 2.1 m at an angle 66 degrees east of north.
B) 5.9 m at an angle 74 degrees north of east.
C) 2.7 m at an angle 74 degrees north of east.
D) 5.1 m at an angle 74 degrees north of east.
E) 4.8 m at an angle 74 degrees east of north.
The closest match to our calculated result is:
D) 5.1 m at an angle 74 degrees north of east.
Therefore, the resultant vector A + B + C is approximately 5.1 m at an angle 74 degrees north of east.
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what are the magnifications of the objective lenses
Answer:
Objective Lenses: Usually you find 3 or 4 objective lenses on a microscope. They almost always consist of 4x, 10x, 40x and 100x powers, when coupled with a 10x (most common) eyepiece lens, total magnification is 40x (4x times 10x) 100x, 400x and 1000x
Explanation:
Objective lenses come in various magnification powers, with the most common being 4x, 10x, 40x, and 100x, also known as scanning, low power, high power and typically oil immersion objectives, respectively
A golf ball resting on a tee is hit, and its velocity changes from 0m/s to 50 m/s traveling down the fairway in 5 seconds. What was the golf ball's acceleration?
Answer:
Explanation:
55m/s
6tyhfdytythftyhyhfytfyht
Answer:
Six is the only number that is both the sum and the product of three consecutive positive numbers.
Explanation:
An object is known to have balanced forces on it. Which of the following would be a true statement?
If an object has a balanced force on it, there is a possibility that the object may be in a position i.e. there is no change in speed and direction of the body.
If the forces acting on an object is balanced, it means that the net force acting on the body is zero.
According to Newton's law of motion, an object will continue in a state of motion in a straight line unless acted upon by an external force.
This external force might be a balanced or unbalanced force. Hence if an object has a balanced force on it, there is a possibility that the object may be in a position i.e. there is no change in speed and direction of the body.
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In a salt solution, salt is a solute. why
Answer: Because it can dissolve in water
Explanation: Logic
When a 12 newton horizontal force is applied to a box on a horizontal
table top, the box remains at rest. The force of static friction acting on
the box is .....
The force of static friction acting on the box is greater than the applied horizontal force.
Force is known to be the reason for motion according to Newton's first law of motion. An object will move when it has been acted upon by an external force.
In this case, a box lying on a table has been acted upon by an external force of 12 newton but the box remains at rest. This simply means that the applied force is less than the force of static friction acting on the box.
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a constant current flows in the conductor with a magnitude of 1.6 mA. Calculate the charge and number of electrons transferred through the straight cross-section of the conductor in 1 hour.
[tex]\\ \sf\longmapsto I=\dfrac{Q}{t}[/tex]
[tex]\\ \sf\longmapsto Q=It[/tex]
[tex]\\ \sf\longmapsto Q=0.0016(3600)[/tex]
[tex]\\ \sf\longmapsto Q=5.76C[/tex]
How can you return a negatively or positively charged object back to its neutral state?
[tex]\huge\fbox\orange{A} \huge\fbox\red{N}\huge\fbox\blue{S}\huge\fbox\green{W}\huge\fbox\gray{E}\huge\fbox\purple{R}[/tex]
[tex]\huge\underline\mathtt\colorbox{cyan}{For Positively Charged:}[/tex]
By gaining electrons from the ground, the object will have a balance of charge and therefore be neutral. Grounding is the grounding of a positively charged object and involves the transfer of electrons from the ground into the object.
[tex]\huge\underline\mathtt\colorbox{red}{For Negatively Charged:}[/tex]
If it is to have its charge removed, then it will have to lose its excess electrons. Once the excess electrons are removed from the object, there will be equal numbers of protons and electrons within the object and it will have a balance of charge.
1.) 450 cm =____m
2.) 24 miles =____cm
3.) 16.7 gallons =____liters
Answer:
450cm = 4.5m
24miles = 3862430 cm (3.9×10⁶cm)
16.7 gallons = 63.216 liters (approx.)
Explanation:
brainliest plz
Help me pleaseee
in what way does the tools, equipment and paraphernalia help us in our lives
Help me pleaseee :( today is our last day pleaseee (Please dont answer if you dont know).
Answer:
They can help us in our daily lives
Explanation:
I knew that they can also be a help to others specially in other ways such as to help us to facilitate our work in home
what is lighting and lighting conductor
A spanner is used to undo a nut. The spanner has already turned 30° from the horizontal. A vertical force of 50 N is applied 0.3 m from the centre of the nut. Calculate the turning effect of the force, please show the calculation thank you :)
Answer:
19.4Nm..............
A 250 g sample of water with an initial temp of 98.8 c loses 7500 joules of heat. What is the final temperature of the water?
The final temperature of the water is 106.0 °C
From the question,
We are to determine the final temperature of water.
From the formula
Q =mcΔT
Where Q is the quantity of heat
m is the mass of substance
c is the specific heat capacity of substance
and ΔT is the change in temperature
Also,
ΔT = T₂ - T₁
Where T₂ is the final temperature
and T₁ is the initial temperature
Then, the formula can be written as
Q =mc(T₂ - T₁)
From the question
Q = 7500 J
m = 250 g
T₁ = 98.8 °C
Putting the parameters into the formula, we get
7500 = 250 × 4.184 (T₂ - 98.8)
(NOTE: specific heat capacity of water, c,= 4.184 J/g °C)
7500 = 1046 (T₂ - 98.8)
7500 = 1046T₂ - 103344.8
Then,
1046T₂ = 7500 + 103344.8
1046T₂ = 110844.8
∴ T₂ = 110844.8 ÷ 1046
T₂ = 105.9701 °C
T₂ ≅ 106.0 °C
Hence, the final temperature of the water is 106.0 °C.
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Using the Position vs. time Graph below, showing the motion of two cyclists (Cyclist A and Cyclist B) answer the following question.Do the two cyclists have the same velocity at t = 3 seconds?
Using the information depicted on the distance - time graph, the slope of the graph is could be used to infer the velocity of each cyclist. Hence, cyclist A and B do not have the same velocity at 3 seconds.
The steepness of slope on the distance - time graph gives the velocity of the cyclist. At time, t = 0 ; the cyclist A has a greater slope than cyclist B. Hence, the velocity of the cyclists is different.
Therefore, the cyclists do not have the same velocity at time, t = 3 seconds.
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P1= 100 kPa
V1= 5 L
T1= 300 degrees Kelvin
P2=100 kPa
V2= ? L
T2= 350 degrees Kelvin
Explanation:
using Charles law; since the pressure is constant
V1/T1 = V2/T2
5/300 = V2/350
cross multiply
V2 X 300 = 5 X 350
V2 = 1750/300
V2 = 5.833L
A plant dying after being exposed to poison represents a physical change.
True or false. (No links please.) Correct answers only..
Answer:
False is the correct answer.
It is considered more of a chemical change because all of the cells inside the plant decompose (change chemicaly)
Answer:
False
Explanation:
saw this on another brainly question, it's because a flower that becomes a poisonous flower would be a chemical change. If it were to mix with the poison it would just become something new entirely.
A shopper walks westward 5.4 meters and then eastward 7.8 meters
Answer:
13.2 meters
Explanation:
(5.4) + (7.8)
A object was fired at 17ms at 40 degree angle horizontal , if object traveled 29meters how long was it in the air
An airplane flies with a velocity of 750. kilometers
per hour, 30.0° south of east. What is the
magnitude of the eastward component of the
plane's velocity?
A. 866 km/h
B. 650. km/h
D. 375 km/h
C. 433 km/h
The magnitude of velocity in east direction will be 650 N approximately.
What is velocity ?
velocity is given by the change in distance by the object with respect to change in time. It is a vector quantity and having S.I unit as m/s.
Here it is given that magnitude of velocity is 750 N and making an angle of 30 degree with x axis in counterclockwise direction as shown in figure below :
Now resolving and writing magnitude of velocity V in x and y direction respectively :
[tex]\begin{aligned}Vcos\theta&= 750 cos30^{o}=650 \:m/s\\Vsin\theta&= 750sin30^{o}= 375 m/s\end{aligned}[/tex]
It should be noted that [tex]vsin\theta[/tex] is acting in negative y direction.
Therefore, the magnitude of velocity in east direction is 650 m/s
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I need help asap please
Will give BRAINLIST for correct answers only
Thank you
A force of 225 N at an angle of 30 degrees to the horizontal displacement. The component of the force that will cause work to be done is?
Answer:
225cos30
Explanation:
Force in the direction of the work done
in each of five scenarios, a 1 kg mass is attached to the end of a massless stick by a massless string. each stick is motionless. rank the torques acting on each stick due to the tension in the attached string. take the axis of rotation in each case to be the end of the stick opposite the string.
Answer:
C=A>B>E>D
Explanation:
the emission of electrons from metals that have absorbed photons is called the
Answer:
The answer to your question is the Photoelectric effect.
Explanation:
a car travels at a uniform speed of 30 km per hour for 30 mins and then at a uniform speed of 60 km per hour for the next 30 minutes calculate the average speed of a car
What force is represented by the vector?
O friction
O gravity
O normal force
O push
Someone pls help
Answer:
gravity
Explanation:
because it acts on a particular direction that is towards the ground
brainliest plz
jane pushed a box with 15 N force (an action) what force does the box have on Jane? which law is this?
Answer:
This is Newton’s third law (forces due to friction). There would be 15N being pushed back at Jane.
Explanation:
Newton’s third law states that for every action there is an equal and opposite reaction. So if Jane pushed with a force of 15N, 15N would be pushed back at her. Hope this helps! :)
Find out fastest to slowest will give brainlesa
Answer:
The fastest thing in the universe is the speed of light, the slowest is a hypothetical object that isn't moving relative to the entire universe.
Use the picture to answer the question.
Name at least three physical properties of the bowling
ball.
1
Answer:
I need the picture to amswer the question thay's why it says " "
por favor ayuda que ejercicio debo hacer para enflacar en una semana xd
Answer:
Un excelente ejercicio para perder barriga rápidamente es correr, ya que el cuerpo gasta una mayor cantidad de calorías en un corto período de tiempo, en tan sólo 30 minutos corriendo se queman unas 300 calorías.
...
Qué ejercicios realizar
Correr. ...
Clase aeróbica. ...
Saltar cuerda. ...
Bicicleta. ...
Caminar rápido. ...
Natación.
Explanation:
dame coronita por favor
What is the correct answer and try to explain if can.
Answer:
C. Electrical
Explanation:
C because the lamp is plugged into a "Electrical" outlet meaning it uses electrical energy to produce light 'pls can i have brainliest i need it for my goal'