In a 2 dimensional Cartesian system, the x-component of a vector is known, and the angle between vector and x-axis is known. Which operation is used to calculate the magnitude of the vector? (taken with respect to the x-component)

Answers

Answer 1
Answer:
The correct answer is dividing by cosine
Explanation:
The cosine function is
cos θ = ca / ​​H
done ca is the adjacent leg (x-axis) and H is the hypotenuse (vector module)
we clear
H = ca / ​​cos θ
therefore, to find the magnitude of the vector, the cathete is divided into the cosine.
The correct answer is dividing by cosine

Related Questions

A 1.0 kg mass at the end of a spring has an amplitude of 0.10 m and vibrates 2.0 times per second. What is its velocity when it is 0.10 m from equilibrium.

Answers

Answer:

[tex]v=0m/s[/tex]

Explanation:

From the question we are told that

Mass of object[tex]M=10kg[/tex]

Amplitude[tex]A=0.10m[/tex]

SHM [tex]w=2.0 times per second.[/tex]

Distance from equilibrium [tex]0.10m[/tex]

Generally the equation for SHM displacement from equilibrium position is mathematically given by

[tex]v=Aw\sqrt{1-\frac{x^2}{A^2}}[/tex]

For [tex]x=0.10[/tex]

Therefore

[tex]v=Aw\sqrt{1-\frac{0.10^2}{A^2}}[/tex]

[tex]v=0.10*2\sqrt{1-\frac{0.10^2}{0.10^2}}[/tex]

[tex]v=0.10*2\sqrt{1-1}[/tex]

[tex]v=0m/s[/tex]

Which item rotates in a magnetic field as an electric motor produces kinetic energy.

A. Lightbulb

B. Loop of wire

C. Battery

D. Permanent magnet

Answers

The answer is a I think sorry if it is wrong!

Answer:

Loop of Wire

Explanation:

A water tank is filled with water up to 3.5m in height. calculate the pressure given by the tank at its bottom.

Answers

Answer:

Explanation:

We are told that the height of the water tank is 3.5 m.

Now, the formula for pressure is;

P = ρgh

Where;

ρ is density of water = 1000 kg/m³

g is acceleration due to gravity = 9.8 m/s²

h = 3.5 m

Thus;

P = 1000 × 9.8 × 3.5

P = 34300 N/m²

100 point question!! A driver begins to brake when her car is traveling at 15.0 m/s, and the car comes to a stop 4.0 s later. How much farther does the car go after the driver begins to brake, assuming constant acceleration?

Answers

Answer:

30 m

Explanation:

Let's list out the known variables that we are given in this question.

v₀ = 15 m/sv = 0 m/s t = 4 s

We are trying to solve for displacement in the x-direction.

Δx = ?

Find which constant acceleration equation contains all 4 of these variables.

[tex]\displaystyle \triangle x = \Big (\frac{v+v_0}{2} \Big ) t[/tex]

Plug the known values into the equation and solve for delta x.

[tex]\displaystyle \triangle x = \Big (\frac{0+15}{2} \Big ) \cdot 4[/tex] [tex]\displaystyle \triangle x = \Big (\frac{15}{2} \Big ) \cdot 4[/tex]   [tex]\displaystyle \triangle x =\frac{60}{2}[/tex] [tex]\triangle x = 30[/tex]

The car goes 30 m after the driver begins to brake.

Answer:

the answer should be 30 m

Explanation:

have a good day

To open a soda can lid, a force of 50 N is applied to a car key, which acts as a lever. If the car key applies a force of 400 N to the lid, then the mechanical advantage of the car key is ___.

a 12
b 10
c 6
d 8

Answers

Explanation:

Given. Required

wo = 400N. MA=?

wi = 50N

Solution

MA = wo = 400N =8

wi. 50N

is cereal a soup? aCTUALLY EXPLAIN WHY OR WHY NOT!

Answers

Answer:

No

Explanation:

Cereal is cereal and soup is soup.

What is a common cause of insomnia? (2 points)
Eustress
Type B personality
Chronic stress
Functional fixedness

Answers

Answer:

stress

Explanation:

Common causes of chronic insomnia include: Stress. Concerns about work, school, health, finances or family can keep your mind active at night, making it difficult to sleep. Stressful life events or trauma — such as the death or illness of a loved one, divorce, or a job loss — also may lead to insomnia.

Answer:

C. Chronic Stress

Explanation:

I took the test

How much gravitational force attracts a ball weighing 300 kilograms ?

Answers

Given that,

Mass of a ball = 300 kg

To find,

The gravitational force acting on the ball.

Solution,

The force acting on the ball is force of gravity. It is equal to the weight of the ball.

W = mg

Substitute the value of m and g in the above formula

W = 300 kg × 10 m/s²

= 3000 N

Therefore, the ball attracts with a force of 3000 N.

A pipe that is open at both ends has a fundamental frequency of 320 Hz when the speed of sound in air is 334 m/s. What is the length of this pipe

Answers

Answer:

Length of pipe 0.5m

Explanation:

Step one

Given data

fundamental frequency of 320 Hz

n=1

Velocity v=334m/s

Note: the subsequent frequency of sound are a multiple of it fundamental frequency

Step two

Applying the formula we have

Fn=nv/2l

Substitute

320=1*334/2L

Cross multiply

320*2L=334

640L=334

Divide both sides by 640

L=334/640

L=0.5m

A 75-kg man is riding in a 30-kg cart at 2.0 m/s. He jumps off in such a way as to land on the ground with no horizontal velocity. The resulting change in speed of the cart is:

Answers

Answer:

Explanation:

We shall apply law of conservation of momentum .

M and m be mass of man and boat . V and v be velocity of man and boat .

MV = mv

75 V = 30 v

2 .0 m/s is relative velocity of man wrt boat .

Given v + V = 2

V = 2 - v

75 ( 2 - v )  = 30 v

150 - 75 v = 30 v

150 = 105 v

v = 1.43 m /s

Which type of employee would most likely spend the majority of work time in a vehicle? O a Corrections Officer at a jail O a Dispatcher at a police department O a Paramedic for a fire department O a Bodyguard for a movie star​

Answers

C. Paramedic for a fire department

A Paramedic for a fire department is the type of employee would most likely spend the majority of work time in a vehicle. Hence, option C is correct.

What does the fire department do?

putting out fires in their vicinity. preserving property and life in the event of localized flames. saving and safeguarding individuals in the event of a car accident, as well as in the event of other catastrophes.

An institution that offers services for fire prevention and suppression is known as a fire department or fire brigade. It is also sometimes referred to as a fire authority, fire district, fire and rescue, or fire service.

The name used in contemporary legislation and by government agencies for this is a fire and rescue service.

Thus, option C is correct.

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Which of the following is evidence that a physical change has
occurred? *
a. Broken glass
b. Rust
c. Bubbles
d. Formation of a solid precipitate

Answers

Broken glass will be the best answer because when a physical change occurs it’s still the same substance and has the same ability to the the same so yea. Hope this helps

Answer:

Broken glass

Explanation:

A force of 100.0N accelerates a 5.0 kg box at 15.0 m/s^2 along a level surface. Find the coefficient of sliding friction for the box. After that, how far will the box have gone after 5.0 seconds of pulling it?

Answers

By balancing the force, we get :

100 - Frictional Force = ma

100 - μmg = ma

100 - μ(5)(10) = (5)(15)

50μ = 25

μ = 0.5  

Distance travelled by box in 5 seconds is :

[tex]d = ut + \dfrac{at^2}{2}\\\\d = 0 + \dfrac{15\times 5^2}{2}\\\\d = 187.5\ m[/tex]

Hence, this is the required solution.

Which pair of waves could overlap to produce a wave with a higher amplitude
through interference?
A. Two waves of the same amplitude with crests that overlap troughs
B. Two waves of the same amplitude with crests that are perfectly
aligned
C. Two waves of different amplitudes that are also different types of
waves
D. Two waves of different amplitudes with crests that overlap
troughs

Answers

Answer: The Answer is B (Sorry if this is late)

Explanation:

I couldn’t find the answer to the question myself then found you, with no answer. So I guessed and failed my third question of the quiz, you were worth the sacrifice though ✨

The pair of waves could overlap to produce a wave with a higher amplitude through interference is that two waves of the same amplitude with crests that are perfectly aligned. Hence, option B is correct.

What is Amplitude?

The maximum deflection or distance made by a point on even a vibrating object or wave relative to its equilibrium location is known as the amplitude in physics. It is equivalent to the length of a vibration path divided in half.

A pendulum's amplitude is therefore equal to the distance that the bob travels when swinging through one side to another. Vibrating sources produce waves, whose amplitude is inversely proportional to the source's amplitude.

The largest deviation of any place on the string out of its place when the line is at rest is used to determine the amplitude of a wave propagation, like the wave on such a plucked string.

Therefore, it concludes that option B is correct.

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What happens to distance when velocity is doubled

Answers

If the velocity of an object is doubled then for a particular period of time the distance will also gets doubled.not sure tho

A wrench is accidentally dropped from the top of a mast on a sailboat. Will the wrench hit at the same place on the deck whether the sailboat is at rest of moving with a constant velocity

Answers

Answer:

Yes, because the wrench is moving at the same speed as the sailboat.

The main difference is that a person on the ground would see the wrench moving diagonally, while a person on the boat would see the wrench falling straight down,

This difference in paths lead to the relativistic change in lengths.

A skateboarder starts at point A on the ramp and rises to point B, a maximum height of h = 3.01 m above the top of the ramp.If the amount of work done against friction is insignificant, determine his initial speed (in m/s) at point A

Answers

Answer:

7.68m/s

Explanation:

At point A, height h= 0m where v=?

At point B, height of h = 3.01 m above the top of the ramp v= 0 m/s

The conservation of energy here will be energy at Point A equals energy at point B

g= acceleration due to gravity= 9.81m/s^2

(mgh + 1/2 mv^2)A = (mgh + 1/2 mv^2)B

✓But height h at point A= 0 m then energy at point A= 1/2 mv^2

✓At point B , the velocity v= 0 m/s, then Energy at point B= mgh

✓ if we equate both energy at point A and B we have

mgh=1/2 mv^2

Let us make v the subject of formula, and cancel out the "m"

v=√2gh

Then substitute the values

V= √2×9.81×3.01

V=7.68m/s

Hence, his initial speed (in m/s) at point A is 7.68m/s

Just 4 questions, I’ll give brainiest and pts the questions are in the photo

Answers

Answer:

1. Divide the weight by speed of the people pushing it to get net force

2. Whether one side of the object is pushing harder or not you will get ur answer, for example if the left side is pushing 3 newtons to the right and the right side pushing 5 newtons to the left, the net force would be 2 newtons of force pushing left and if its an even amount of force then it will be 0

3. If one side of an object pushes harder than the other side, then the object will move in favor of the one who is pushing harder.

4. 200 newtons or 200N

Explanation:

The propeller of an aircraft is spinning at 10 rev/s when the pilot shuts off the engine. The propeller reduces its angular velocity at a constant 2.0rad/s2 for a time period of 40 s. What is the rotation rate of the propeller in 40 s

Answers

One revolution of the propeller corresponds to a rotation of 2π radians, so that the propeller has an initial angular velocity of

10 rev/s = (10 rev/s) • (2π rad/rev) = 20π rad/s

The propeller thus has an angular velocity ω at time t of

ω = 20π rad/s - (2.0 rad/s²) t

so that at t = 40 s, its angular speed is reduced to

20π rad/s - (2.0 rad/s²) (40 s) = (20π - 80) rad/s

Convert this to a rotation rate by dividing this result by 2π :

(20π - 80) rad/s = ((20π - 80) rad/s) • (1/(2π) rev/rad) ≈ -2.73 rev/s

which would suggest that the propeller has started to turn in the opposite direction at a rate of 2.73 rev/s.


Select the correct answer from each drop-down menu.
We can change a gas to liquid by_______ the temperature and______ the pressure

Answers

We can change a gas to liquid by decreasing the temperature and increasing the pressure.

What is phase transition?

Phase transition is the process by which a substance transforms from one state—solid, liquid, or gas—to another. Every element and substance has a precise range of temperatures and pressures at which it can change from one phase to another.

Each substance can transform into one of three phases: solid, liquid, or gas. At specific temperatures, every substance is in one of these three phases. The intermolecular forces acting on the material's molecules and atoms have a significant impact on the temperature and pressure at which the substance will change.

When we change a gas to liquid, we have to decrease in the temperature and increase in the pressure for this phase transition.

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The creation of electricity in a coil of a wire through the movement of a magnet is called what?

A) electromagnet
B) Magnetosphere
C) Magnetism
D) Electromagnetic Induction

Answers

Answer:

D. Electromagnetic Induction.

Explanation:

An object with mass 'm' is moving in a circle of radius 'R' at a constant speed of 'v.' The acceleration of the object will INCREASE if _____. List all that apply ... .

Answers

Answer:

Explanation:

The acceleration of an object is given by the formula

a = v²/r

The acceleration of the object is bound to increase, if and only if the following are changed as well.

The mass of the object is increased,

The speed of the object is increased,

The radius of the object is contrarily decreased

Taking another look at the formula, we see that if we increase the speed of the object, it increases the acceleration. And since the radius is in the denominator, it has to be reduced for the acceleration to increase

A Stone thrown from the top of a building is given an initial velocity Of 20.0 metre per second straight upward determine the time in second at which the stone reaches its maximum height. ( Take sec2 g=9.8m/s)
A) 2.8
B) 2.04
C) 1.67
D) 2.7​

Answers

Answer:B) 2.04

Explanation:

Given that,

Initial velocity of the stone (u) = 20.0 m/s

Acceleration due to gravity (g)= -9.8 m/s² [upward motion]

Final velocity of the stone [tex]\sf{(v_{max})=0\:m/s}[/tex]

We know that,

[tex]{\boxed{\sf{v=u+gt}}}[/tex]

[ Put values ]

[tex]\begin{gathered} \implies \sf \: {0} \: = {20} + ( - 9.8) \times t \\ \\ \implies \sf \: 0 = 20 - 9.8t \\ \\ \implies \sf \: 9.8t = 20 \\ \\ \implies \sf \: t = \dfrac{20}{9.8} \\ \\ \implies \sf \: t = 2.04\end{gathered}[/tex]

Therefore, the time at which the stone reaches its maximum height will be 2.04 s.

Which is a correct description of Hooke's law?

-The force applied to a spring equals the product of the spring constant and the displacement.
-The force applied to a spring equals the spring constant divided by the displacement.
-The spring constant of a spring equals the product of the force applied and the displacement.
-the spring constant of a spring equals the displacement divided by the force applied.

Answers

Answer:

The force applied to a spring equals the product of the spring constant and the displacement.

Explanation:

From Hooke's law, the force required to extend or compress a spring by a distance is proportional to the distance. This means extension is proportional to force.

Mathematically it is stated as;

F= -k*x  where k is the spring constant and x is the displacement of the spring after adjustment.

Hooke's law is an example of elasticity property of a material which is the ability of the object to return to a normal shape after experiencing a distortion also called "restoring force"

Answer:

Option A

Explanation:

what do you think president biden should say in his inaugural speech to unify the country’s

Answers

Answer:

If you haven't heard, Joe Biden would like to unite America.

It was a focus of the Democrat's campaign. It's even the theme of Biden's inauguration — "America United."

The inaugural committee says the slogan "reflects the beginning of a new national journey that restores the soul of America, brings the country together, and creates a path to a brighter future."

If only it were that easy.

When Biden is sworn in at 12:01 p.m. ET Wednesday as the 46th president of the United States, it will be with the understanding that the country is as divided as it's ever been, as pessimistic as it's been in three decades and facing health, economic and racial crises.

It will also be a very different inauguration than has ever been seen in U.S. history. Four years ago, President Trump was arguing over his crowd size compared with Barack Obama's record-setting turnout of supporters on the National Mall.

Explanation:

btw i would rather have him as president

With what speed would mail pass through the center of the Moon if falling in a tunnel that runs through the center

Answers

Answer:

$v_f = = 7.9 \times10^3 \text{ m/s }$

The highest point on the American eagle roller coaster is 39 meters above the ground. Find the potential energy of a 625 kg roller coaster car that is at its highest point on the track. Use g=10m/s

Answers

Answer:

243.75kJ

Explanation:

Step one:

Given parameters

Height= 39meters

mass= 625g

g= 10m/s

Required

The potential energy PE

Step two:

the expression for the potential energy is given as

PE=mgh

PE=625*10*39

PE=243750 J

PE=243.75kJ

What determines the radiation that an electromagnetic wave emits?

a. its speed
b. its visibility
c. its amplitude
d. its wavelength
PLEASE HELP!!!!

Answers

Its wavelength, d. I hope

The electromagnetic waves are determined by the wavelength. Hence, the correct option is D.

What are electromagnetic waves?

Electromagnetic waves are made up of vibrating electric and magnetic fields. The electric and magnetic fields are mutually perpendicular to each other. EM waves are transverse in nature.

Electromagnetic waves can travel through the vacuum in the form of radiation. The EM waves travel with the speed of light 3×10⁸ m/s. EM waves have no mass and charge. These waves can carry energy in space.

The behavior of electromagnetic waves depends on its frequency and wavelength. EM waves are classified into 7 types based on its frequency and wavelength. They are classified from radio waves to  Gamma rays.

Frequency is inversely proportional to wavelength, f = c / λ. Higher frequencies have shorter wavelength and lower frequencies have longer wavelength.

Thus, the wavelength determines the radiation that an electromagnetic waves. Hence, the option D is correct.

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According to the cell theory, which statement is correct? A) Viruses are true cells. B) Cells are basically unlike in structure. C) Mitochondria are found only in plant cells. D) Cells come from preexisting cells.

Answers

Answer:

D) Cells come from preexisting cells.

Explanation:

The universal i.e widely accepted cell theory was proposed in 1800's by the contribution of three scientists namely Theodor Schwann, Matthias Schleiden, and Rudolf Virchow. They came together and proposed three main components that make up the cell theory today. The components are:

- All living things are composed of one or more cells.

- Cell is the basic and fundamental unit of life

- All cells come from preexisting cells.

Based on these three components of the cell theory, the statement that: "Cells come from preexisting cells" in the options is correct.

The only planet in the solar system with the temperature that can support life is

Answers

Answer:

earth

Explanation:

its the only planet.

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