The vector V is at a 72° angle and has a magnitude of 12.
Describe this vector using vector notation (Use the & and symbols.) (6 points)
Question 9
What is the angle of the vector described below? (3 points).
Please answer all questions will mark brainliest and give 5 stars
V=2x+3y

The Vector V Is At A 72 Angle And Has A Magnitude Of 12.Describe This Vector Using Vector Notation (Use

Answers

Answer 1

Answer:

Part 1

The vector can be expressed as follows;

r = 12, θ = 72°, ·v = (12, ∠72°), ·v ≈ 3.71·[tex]\mathbf{\hat i}[/tex] + 11.41·[tex]\mathbf{\hat j}[/tex] or

[tex]\mathbf{\cdot v}=\begin{bmatrix}3.71\\ 11.41\end{bmatrix} = \begin{pmatrix}3.71\\ 11.41 \end{pmatrix}[/tex]

Part 2

The angle of the vector is 56.31°

Explanation:

Part 1

The given parameters are;

The direction of the vector = 72°

The vector magnitude = 12

Therefore, the vector can be described in the following forms;

Polar form

1) Direct notation;

r = 12, θ = 72°

2) Ordered set

·v = (12, ∠72°)

Rectangular vector notation;

1) Unit vector notation

·v = vₓ[tex]\mathbf{\hat i}[/tex] + [tex]v_y[/tex][tex]\mathbf{\hat j}[/tex]

Where;

vₓ = 12 × cos(72) ≈ 3.71

[tex]v_y[/tex] = 12 × sin(72) ≈ 11.41

Therefore;

·v ≈ 3.71·[tex]\mathbf{\hat i}[/tex] + 11.41·[tex]\mathbf{\hat j}[/tex]

2) Matrix notation

[tex]\mathbf{\cdot v}=\begin{bmatrix}3.71\\ 11.41\end{bmatrix} = \begin{pmatrix}3.71\\ 11.41 \end{pmatrix}[/tex]

Part 2

The given vector is V = 2·x + 3·y

Therefore, the angle of the vector, θ = tan⁻¹(y/x) =  tan⁻¹(3/2) ≈ 56.31°

The angle of the vector = 56.31°.


Related Questions

what does a worm and wheel mechanism do to torque and speed​

Answers

Answer:Explanation:

Image result for what does a worm and wheel mechanism do to torque and speed​

Like other gear arrangements, a worm drive can reduce rotational speed or transmit higher torque. ... Each full 360 degree turn of a single start worm advances the gear by one tooth. For a multi start worm the gear reduction equals the number of teeth on the gear divided by the number of starts on the worm.

"As long as the baseball I hit is
moving upward, there is no air resistance. Air resistance only slows it down when it is falling downward."

Answers

Answer:

Air resistance is always in play so it always has air resitance no matter what.

Please help!!
Why is it important to keep the mass (weight) of your car low?
Words to use:
Mass, inversely proportional (as mass goes up, acceleration goes down),
acceleration (to change motion), force

Answers

Answer:

Mass is the correct answer.

Explanation:

Many drivers report a more positive handling response and a definite improvement when reducing unsprung mass. You want to keep unsprung weight to as little as possible. This minimizes the momentum and energies that your suspension has to counter. In effect, it can make your shocks more sensitive.

Answer:

If you push hard, the block's bottom will move out from under its center of gravity and the block will tip over. The taller the block, the easier it is to push the bottom out from under the center of gravity. Keeping a car's center of gravity low is important to avoiding disaster during turns. But if you don't keep the car's center gravity low it will be inversely proportional and the acceleration can be damaged with force, and its mass could get disproportionate.

Explanation:

I'm sorry i tried my best. :/

An object accelerates from rest to a velocity of 34 m/s
over a distance of 70 m. What was its acceleration?

Answers

Answer:

6.8m/s²

Explanation:

Given parameters:

Initial velocity = 0m/s

Final velocity  = 34m/s

Distance  = 70m

Unknown:

To solve this problem we apply one of the motion equations;

     V²   = U² + 2aS

where V is the final velocity

           U is the initial velocity

           a is the acceleration

         S is the distance covered

Input the parameters and solve;

   34² = 0² + 2 x a x 70

  34² = 140a

   a  = 6.8m/s²

Which of the following is true? *
Electronics and neutrons have the same mass.
Protons and electrons have the same mass.
All subatomic particles have the same mass.
Protons and neutrons have the same mass.

Answers

Answer: D. Protons and neutrons

Explanation:  PLEASE GIVE BRAINLIEST IT HELPS ALOT

The temperature of a 5.0 kg block increases by 3 degrees C when 2,000 J of thermal energy are added to the block. What is the specific heat of the block? _____________

Answers

Sorry bro I just need points for my calculus exam

A go cart engine applies a force of 888N and moves the cart forward 22m.
a) How much work is done?
b) We put on a bigger engine (1111N) but the cart still moves forward 22m. How much work is done now?
c) Why would you put on a bigger engine if you are still moving 22m?

Answers

Answer:

Explanation:

a) work=Force times distance. given force is 888N and distance travelled is 22M

work= 888 x 22 = 19536J or 1.954x10^5J

b) work = 1111 x 22= 24442J or 2.444x10^5J

c) putting on a larger engine means that there are gonna be more force applied to the go cart. therefore the cart will travel the same distance faster

a. The amount of work done by the go cart engine is 19,536 Nm.

b. The amount of work done when a bigger engine is used is 24,442 Nm.

c. The reason why a bigger engine is used is, so that the engine can easily do more work in the same amount of distance.

Given the following data:

Force A = 888 NewtonDistance = 22 meterForce B = 1111 Newton

a. To determine the amount of work done by the go cart engine:

Mathematically, the work done by an object is given by the formula;

[tex]Work\;done = Force \times distance[/tex]

Substituting the given parameters into the formula, we have;

[tex]Work\;done = 888 \times 22[/tex]

Work done = 19,536 Nm.

b. To determine the amount of work done when a bigger engine is used:

[tex]Work\;done = Force \times distance[/tex]

[tex]Work\;done = 1111 \times 22[/tex]

Work done = 24,442 Nm.

c. The reason why a bigger engine is used is, so that the engine can easily do more work in the same amount of distance.

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When an object gains thermal energy, the molecules inside the object move faster.


True or False?

Answers

Answer:

true

Explanation:

when  the heat rises the molecules inside vibrate much faster than when ever they cool down because they are slower, think of it as if you were frozen but could still move, you'd be slow but if you weren't and were warmer your system can work more and you can run faster than when you were frozen.

A 1200 kg car accelerates from rest for 45 meters in 6.0 seconds. What is the net force on the car?​

Answers

Answer:

Explanation:

At first, you have to get the acceleration value from the given data.

[tex]s=ut+\frac{1}{2}at^{2}[/tex]

s= 45m

u= 0 m/s

t = 6s

a = ?

45 = 0+ 0.5 × a × 6²

45 = 0.5 × 36 × a

45 = 18a

a = 2.5 m/s²

Now, you can use F=ma equation

F = ?

m = 1200kg

a = 2.5 m/s²

F = 1200 × 2.5

F = 3000 N

Which has more inertia?
A human or an elephant and explain why?

Answers

Answer:

A human

Explanation:

An elephant weighs more, therefore it's gravitational pull by Earth impacts it more than a human.

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

Explanation:

Think of it this way: An elephant has more inertia than a human. It is much harder to push an elephant across a floor than it is a human, and much harder to stop the elephant once it is moving. Therefore, by definition, an elephant has more mass than a human.

from the list below, which athlete would need to focus on cardiovascular endurance?

A. Body Builder

B. Baseball Player

C. Marathon Runner

D. Bowler ​

Answers

Answer:

A. body builder

Explanation:

When candle wax is heated enough, it becomes a liquid and flows. However, if it isn't heated, candle wax is a solid. Which of the following explains why liquid candle wax flows but solid wax does not?​

○ the molecules of the Liquid wax are softer than the molecules of the solid matte wax.

○ The molecules of the liquid wax have less mass than the molecules of the solid wax.

○ The molecules of the liquid wax can easily move past one another but the molecules of the solid wax cannot.

Answers

Answer:

C

Explanation:

Which refers to the distance between two crests or two troughs on a transverse wave? wavelength amplitude frequency hertz

Answers

Answer:

Wavelength

Explanation:

The distance between two crests or two troughs on a transverse wave is known as the wavelength.

What is a wavelength?

The wavelength of a periodic wave is its spatial period or the distance over which the wave's structure repeats. It's the distance between two adjacent corresponding points of the same phase on the wave, such as two adjacent crests, troughs, or zero-crossings, and it's a feature of both travelling and standing waves, as well as other spatial wave patterns.

As discussed above the wavelength, therefore, the distance between two crests or two troughs on a transverse wave is known as the wavelength.

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A delivery truck travels 2.8 km North, 1.0 km East, and 1.6 km South. The final displacement from the origin is ___km to the ___.(round to the nearest tenth) (write the resultant vector as NE, SE, NW, or SW)

Answers

Answer:

The final displacement from the origin is 1.6 km to the NE

Explanation:

The directions in which the delivery truck travels are;

1) 2.8 km North = 2.8·[tex]\hat j[/tex], in vector form

2) 1.0 km East = 1.0·[tex]\hat i[/tex], in vector form

3) 1.6 km South = -1.6·[tex]\hat j[/tex], in vector form

Therefore, to find the final displacement, Δx, of the delivery truck, we add the individual displacements as follows;

Final displacement, Δd = 2.8·[tex]\hat j[/tex] + 1.0·[tex]\hat i[/tex] +(-1.6·[tex]\hat j[/tex]) = 1.2·[tex]\hat j[/tex] + 1.0·[tex]\hat i[/tex]

Final displacement, = 1.0·[tex]\hat i[/tex] + 1.2·[tex]\hat j[/tex]

Where;

Δx = The displacement in the x-direction = 1.0·[tex]\hat i[/tex]

Δy = The displacement in the y-direction = 1.2·[tex]\hat j[/tex]

The magnitude of the resultant displacement vector is given as follows

[tex]\left | d \right |[/tex] = √((Δx)² + (Δy)²) = √(1² + 1.2²) ≈ 1.6 (To the nearest tenth)

The magnitude of the resultant displacement vector ≈ 1.6 km

The direction of the resultant vector is positive for both the east and north direction, therefore, the direction of the resultant vector = NE

Therefore, the resultant displacement of the delivery truck is approximately 1.6 km, NE from the origin.

If a car travels 40 mph for a distance of 1680 miles, how much time did it take?

Answers

Answer:

42 hour

Explanation:

It is given that,

Speed of a car, v = 40 mph

Distance covered by the car, d = 1680 miles

We need to find the time taken by the car to cover this distance. We can find it using the formula of speed which is equal to the distance covered divided by the time taken. Let the time is t.

speed = distance/time taken

[tex]t=\dfrac{d}{s}\\\\t=\dfrac{1680\ \text{miles}}{40\ \text{mph}}\\\\t=42\ \text{hour}[/tex]

Hence, the car will take 42 hours to cover 1680 miles with a speed of 40 mph.

Two hockey players are about to collide on the ice, One player has a mass of
65 kg and is traveling at 1.8 m/s east. The other has a mass of 70 kg and is
traveling at 1.4 m/s west. The system consists of the two hockey players,
According to the law of conservation of momentum, what is the total
momentum of the system after they collide? Assume the collision is an
elastic collision
A. 19 kg'm/s east
B. 215 kgm/s east
C. 19 kgm/s west
D. 215 kgm/s west

Answers

Answer: 19kg•m/s east

Explanation:

The total momentum of the system after they collide will be equal to 19 kg m/s east. Hence, option A is correct.

What is momentum?

The momentum is the result of a particle's velocity and its mass. Force and motion, meaning it has both magnitude and the direction. According to Isaac Newton's second equation of motion, the force acting on a particle equals the time rate of increase of momentum.

The impulse, which is the product of the force and the intervals (the impulse), is equal to the difference in momentum, according to Newton's 2nd law, if a steady force operates on a particle for a specific amount of time. On the other hand, a particle's momentum is the amount of time needed for a consistent action to fight it to rest.

As per the given information in the question,

Mass, m₁ = 65 kg

Mass, m₂ = 70 kg

Velocity, v₁ = 1.8 m/s

Velocity, v₂ = 1.4 m/s

Use the law of conservation of momentum,

P = m₁v₁ = m₂v₂

Here, P is the total momentum.

⇒ 65 × 1.8 = 78 × 1.4

= 117 east = 98 west

P = 117 - 98

P = 19 kg m/s east.

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Which of the following is not a force? *
gravity
friction
tension
acceleration

Answers

Answer:

tension

Explanation:

its a feeling

Embarking on a road trip, you hope to average a speed of 90.0 km/hr. Driving through bad weather, you finally reach the midpoint (half the distance) of your trip, but realize that you have only been averaging 5.0 X 10^1 km/hr. How fast would you have to drive the second half of the trip to keep your desired arrival time? *

Answers

Answer:

Explanation:

average speed = 90 km / hr

Let the total distance be 2 d .

time required to cover the time = 2 d / 90

time taken   to cover distance d at 50 km /h = d / 50

time required to cover the  nd half = 2 d / 90 -  d / 50

.02222 d  - .02 d = .002222 d

speed required = d/2 / .002222d

1 / 2 x .002222

= 225 km /h .

Which of the following statements is not true about genes?
A. Genes consist of hormones that regulate bodily functions.
B. Genes are DNA segments that are carried in each chromosome.
C. Genes serve as the biochemical units of heredity.
D. Genes operate in pairs and influence one's physical traits.

Answers

Answer:

A.) Genes consist of hormones that regulate bodily functions.

Explanation:

The statements (A), (B) and (C) are correct to explain the functions of Genes in a human body.

The given problem is based on the concept and fundamentals of Genes. Genes in a human body acts as a set of instruction that determine the likings of the organism, its appearance, and its behavior in its environment.

As per the above definition, Genes are the hormones that is responsible for the regulation of functions of body.Genes are made of a substance called deoxyribonucleic acid, or DNA. Moreover, it is a short section of DNA that contains instructions that tell the cells to make molecules called proteins.It is responsible for the transmission of hereditary from one biological unit to another, therefore it is known to serve as Biochemical unit for Heredity.

Thus, we can conclude that the statements (A), (B) and (C) are correct to explain the functions of Genes in a human body.

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How fast would an inline skater have been traveling if he had covered 400 m in 10
seconds?

Answers

Answer:

The answer is 40 m/s

Explanation:

The speed or velocity of an object given it's distance and time taken can be found by using the formula

[tex]v = \frac{d}{t} \\ [/tex]

From the question we have

[tex]v = \frac{400}{10} \\ [/tex]

We have the final answer as

40 m/s

Hope this helps you

what happens to the wave length and frequency of a wave as it crosses a different medium and speeds​

Answers

Answer:  SEE EXPLANATION!

Explanation:

When waves travel from one medium to another the frequency never changes. As waves travel into the denser medium, they slow down and wavelength decreases. Part of the wave travels faster for longer causing the wave to turn. The wave is slower but the wavelength is shorter meaning frequency remains the same.

I hope this helps you!

An object dropped from rest and falls a distance of 80 m.
What is the objects displacement

Answers

Answer:

Δx = -80m

Explanation:

The object's displacement is -80m because it landed 80m below where it started.

Mass
An object accelerated at a rate of 50 m/s/s. A force of
100 N was used to make this happen. What is the mass
of the object?
kg

HELP ME PLS

Answers

Answer:

2kg

Explanation:

100N = Force 50m/s²= Acceleration

Mass=?

the equation is;

Mass(kg)= Force(N) ÷ Acceleration (m/s²)

100÷50=2

how many tennis balls are in 8 bags if each bag holds 25 tennis balls.

Answers

The answer is 200, 200 tennis balls would be in 8 bags if they each held 25.

Answer:

200 balls

Explanation:

Can someone please help me on this?

Answers

Answer:

80

Explanation:

13. How much dimmer than the sun is Eridani B2​

Answers

Answer: Eridani B2 appears only [tex]6.73[/tex]×[tex]10^{-13}[/tex] as bright as the sun.

How many joules of kinetic energy does the pendulum have when it has 50 J of potential energy?

Answers

Answer:

We do not have the information of the pendulum, so i will answer in a general way.

First, as you know, the total energy can be written as:

E = U + K

Where:

U = potential energy

K = kinetic energy.

Now, by the conservation of energy, we know that E does not change.

This means that if U increases an amount x, then K must decrease by the same amount.

Now, at the maximum height of the pendulum, the velocity is zero, this means that in this point the kinetic energy is 0j.

E = 0 + U

E = U.

Another thing that you may know about pendulums is that, if the initial displacement is by an angle θ, then the angle between the string and the vertical can never be more than θ.

And we know that:

U = m*g*h

in this case, we can write h, the maximum height, as:

h = L*(1 - cos(θ))

Where:

L is the length of the string, g is the gravitational acceleration and m is the mass of the pendulum.

Then the total energy of the pendulum is:

E = m*g*L*(1 - cos(θ))

And we had that:

E = K + U = m*g*L*(1 - cos(θ))

Then, if in a given point we have U = 50j, the kinetic energy must be:

K + 50j = m*g*L*(1 - cos(θ))

K = m*g*L*(1 - cos(θ)) - 50j

The formula for calculating density, D, is D=MV, where M represents mass and V represents volume.

For liquids, volume is often given in cubic centimeters (cc), which is the same as cm 3. If the density of an unknown liquid is 1.6 g/cc, what is the mass of 800 cc of the unknown liquid in grams (g)?

Answers

Answer:

Density 1.6g/cc means that every 1(one) cubic centimeter of the liquid has a mass of 1.6 grams.

Then, what about 800 cubic centimeters – how much mass, in grams, will it have  ?

= 1.6 * 800 = 1280 g

Explanation:

Someone, please help me with this



1. Distance traveled during the first minute (A-B) *

40 m

100 m

140 m

180 m


2. Displacement after the first minute (A-B) *

180 m west

180 m east

100 m west

100 m east


3. Distance traveled during the first 2 minutes (A-B-C)

40 m

140 m

320 m

420 m


4. Displacement after the first 2 minutes of travel (A-B-C) *

40 m east

40 m west

140 m east

140 m west


5. Distance traveled during the total time of 3 minutes (A-B-C-D) *

140 m

240 m

360 m

420 m


6. Displacement after the total 3 minutes of travel (A-B-C-D) *

40 m east

40 m west

140 m east

140 m west

Answers

Answer:

Explanation:

1). Distance traveled during the first minute (A-B)

    = Distance from A to C + Distance from C to D + Distance from D to B

    = 40 + 100 + 40

    = 180 m

   Option (4) will be the answer.

2). Displacement after first minute (A-B)

    = Distance from A to B

    = 180 m East

    Option (2) is the answer.

3). Distance traveled during the first 2 minutes (A - B - C)

    = Distance from A to B + Distance from B to C

    = 180 + 140

    = 320 m

    Option (3) will be the answer.

4). Displacement after first 2 minutes (A-B-C)

    = Distance between A and C

    = 40 m towards east

    Option (1) is the answer.

5). Distance traveled during 3 minutes (A-B-C-D)

    = Distance between A to B + Distance between B to C + Distance between C to D

    = 180 + 140 + 100

    = 420 m

   Option (4) is the answer.

6). Displacement after total 3 minutes (A-B-C-D)

    = Distance between A and D

    = Distance between A to C + distance between C to D

    = 40 + 100

    = 140 m

     And the direction is towards East.

     Option (3) is the answer.

The weight of a box is having a mass of 100 kg is ___n

Answers

Answer: the weight of the box is 980N

Explanation:

The weight an object has is defined as  the force of gravity acting  on that object which is given as

w =m x g

Since weight is defined as a force, it can also be written as

w=mg

= F= mg

where m= mass of the object in kg given as 100Kg

an g is the gravitational acceleration in  m/s^2 =  g is 9.8 m/s2

F= mg

F = 100 kg x 9.8 m/s2

F== 980Kgm/s^2 = 980N

Therefore the weight of the box is 980N

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