You are given two vectors A⃗ =−3.00i^+5.00j^ and B⃗ =7.00i^+2.00j^. Let counterclockwise angles be positive.
a)What angle θA, where 0∘≤θA<360∘, does A⃗ make with the +x-axis?
Express your answer in degrees.

b)What angle θB, where 0∘≤θB<360∘, does B⃗ make with the +x-axis?
Express your answer in degrees.

c)Vector C⃗ is the sum of A⃗ and B⃗ , so C⃗ =A⃗ +B⃗ . What angle θC, where 0∘≤θC<360∘, does C⃗ make with the +x-axis?
Express your answer in degrees.

Answers

Answer 1

Answer:

Explanation:

We can subtract directly the corresponding components and check using the parallelogram rule.

Explanation:

Have a look:

enter image source here

Where, graphically, I used the fact that:

A

B

=

A

+

(

B

)

For the magnitude we use Pythagoras (with the components) to get:

A

B

=

(

1

)

2

+

(

5

)

2

=

1

+

25

=

26

5.1

For the direction I can see that will be

90

from the

x

axis up to the

y

axis, plus the little bit passed the

y

axis given as:

θ

=

arctan

(

1

5

)

=

11.3

giving in total: angle

=

90

+

11.3

=

101.3


Related Questions

What is the force exerted on a selectively permeable membrane because water has moved from an area of higher concentration to an area of lower concentration of water?
Diffusion
Facilitated transport
Osmotic pressure
Endocytosis

Answers

Question

what is the force exerted on a selectively permeable membrane beacuse water has moved from an area of higher concentration to an area of Lower concentration of water?

Answer

OSMOSIS

Explanation

Osmosis: This is the hydrostatic force acting to equalize the concentration of water on both sides of the membrane that is impermeable to substances dissolved in that water. Water will move along its concentration gradient.

HEY!!^^

have a good day^^

thank me later^^^

carryonlearing^^

an object is traveling with a constant velocity of 5m/s. How far will it have gone after 7s

Answers

Answer:

35m/s

Explanation:

Answer:

35m/s

Explanation:

Simply multiply 5 and 7.

A crate is released on a frictionless plank inclined at angle q with
respect to the horizontal. Which of the following relationships is true?
(Assume that the x-axis is parallel to the surface of the incline.)
a. Fy = Fg
c. Fy = Fx
b. Fx = 0
d. none of the above

Answers

None of the given options is correct based on the relationship for the components of the crate's weight.

The given parameter:

Angle of inclination, = q

The vertical component of the force on the crate is calculated as follows;

[tex]F_y = W \times cos(q)\\\\F_y = F_gcos(q)[/tex]

The horizontal component of the crate is calculated as follows;

[tex]F_x = F_g \times sin(q)\\\\F_x = F_g sin(q)[/tex]

Thus, we can conclude that none of the given options is correct based on the relationship for the components of the crate's weight.

Learn more about forces on inclined weight here:  https://brainly.com/question/11351170

explain how water erosion changes land forms

Answers

Answer:

Water erosion can slowly wash away dirt and rocks, wearing away landforms and sometimes forming rivers that can even carve out stone over time.

4. Trilobites are animals that lived during the Paleozoic era. They populated all parts of the
ocean showed consistent evolution over time and left behind fossils that are large
enough to be studied without a microscope. All of these characteristics make trilobites
the ideal
a. Trace fossil
b. Keystone species
c. Index fossil
d. Reference point
dnreserve the remains of dead

Answers

Answer:

c. index fossil

Explanation:

Trilobite fossils are found worldwide, with many thousands of known species. Because they evolved rapidly, and molted like other arthropods, trilobites serve as excellent index fossils. (Arthropods periodically shed their old exoskeletons, or molt.) An index fossil is one that is useful for dating and correlating the strata in which it is found.

Which degree would a person most likely pursue if they are interested in how
computers work to solve problems?
A. Business management
B. Mechanical engineering
C. Computer science
D. Education technology
SUBMIT

Answers

Answer:

Computer science

Explanation:

You would get everything you need to know about computers if you took computer science. I hope this helps

Answer:

Computer science

Explanation:

A model shows a machine that works using electric fields. What would this machine need for the electrical field to function properly

Answers

It would need at least two charges interacting parts

PLEASE ASP HELP THIS WILL GIVE 50 POINT AND BRAINLIEST!!!!!!
In introductory physics, a typical cavendish balance for measuring the gravitational constant G use metal masses 2.39kg and 16g whose center are separated by 6.81cm calculate the gravitation force between these forces, treating each as a point mass located at the center of the sphere.

gravitational constant =6.67259 × 10⁻¹¹N·m²/kg²

Answers

Answer:

Explanation:

F = GMm/d²

F = 6.67259 x 10⁻¹¹(2.39)(0.016) / 0.0681²

F = 5.5019685...x 10⁻¹⁰ N

round as appropriate, probably no more than 3 significant figures.

Value of G seems low, but well within the 3 significant figures of the other numerals. I typically see G = 6.674 x 10⁻¹¹

Specific heat capacity
of a solid

Answers

specific heat of a solid or liquid is the amount of heat that raises the temperature of a unit mass of the solid through 1° C. We symbolise it as C. In S.I unit, it is the amount of heat that raises the temperature of 1 kg of solid or liquid through 1K

Which of the following is damaging electromagnetic radiation?
a. Gamma Ray c. Ultraviolet
b. Visible Light d. X-rays

Answers

Explanation:

Which of the following electromagnetic waves is used in medicine to destroy cancer cells?

A. IR rays

B. Visible rays

C. Gamma rays

D. Ultraviolet rays

Answer

VerifiedVerified

105.9k+ views

Hint: Electromagnetic rays that have a high frequency and highest-energy photons such that their energy is enough to penetrate several centimetres of lead is used to destroy cancer cells.

Complete step by step answer:

Electromagnetic waves with wavelengths shorter than about 100-trillionths of a meter are called gamma rays. They are used in a technique called radiation therapy to kill diseased cells in the human body. A beam of gamma rays can damage the biological molecules in living cells, causing both healthy and diseased cells to die. By carefully controlling the amount of gamma ray radiation and focusing it on the diseased area, the damage to healthy cells can be reduced during treatment.

So, the correct answer is “Option C”.

Additional Information: A. Infrared rays are used to form images of objects. Remote control and CD-drives also used infrared waves.

B. Visible light is the light that we can detect with our eyes. The spectrum of visible light shows all colours of light from long wavelength red to short wavelength violet.

D. Ultraviolet rays provide vitamin D for the body. They are also used to disinfect food, water and medical supplies. If Ultraviolet rays enter a cell, they can damage the DNA.

Note: Apart from Gamma rays, X-rays are also used in radiation therapy to kill diseased cells in the human body. X-rays are also used to form images of bones and teeth and in airport screening devices to examine contents of luggage.

hope this passage helps I don't know Its correct answer ..... its from my school PDF

Answer:

Gamma rays

Explanation:

NOTE: The higher the frequency of the radiation, the more damage it is likely to cause to the body: infrared radiation is felt as heat and causes skin to burn.

If correct please give brainliest  

Stay safe and healthy  

Thank You

Identify the types of motion a) The movement of a snail on the ground b) The strings of the guitar c) The whirling of stone tied with a thread

Answers

Answer:

1. friction, gravity,

Explanation:

An LED is useful because when a current passes through it, it gives out... what?
Enter your answer

Answers

An LED is useful because when a current passes through it, it gives out light.

An LED is useful because when a current passes through it, it gives out Light.

What is an LED?

LED, in full light-emitting diode, in electronics, a semiconductor device that emits infrared or visible light when charged with an electric current.

A light-emitting diode (LED) emits light by applying a forward current to the pn junction of a compound semiconductor.

When forward current is passed through the light-emitting diode, carriers (electrons and holes) move. The holes in the p-type region move to the n-type region and the electrons in the n-type region move to the p-type region. The injected carriers recombine, and the energy difference before and after recombination is released as light. The emitted light depends on the energy band gap (Eg) of the compound semiconductor.

Learn more about light-emitting diode

https://brainly.com/question/12286583?referrer=searchResults

#SPJ2

What is the weight of a 5kg object at the surface of the earth?

A. 49N
B. 49kg
C. 5.0kg
D. 25N

Answers

Answer: The answer is A) 49 N(Newtons).

A ball is kicked horizontally from a 60 meter tall cliff at 10 m/s. How far from

the base of the cliff does it land?

Answers

Hi there!

We can begin by deriving the equation for how long the ball takes to reach the bottom of the cliff.

[tex]\large\boxed{\Delta d = v_it+ \frac{1}{2}at^2}}[/tex]

There is NO initial vertical velocity, so:

[tex]\large\boxed{\Delta d= \frac{1}{2}at^2}}[/tex]

Rearrange to solve for time:

[tex]2\Delta d = at^2\\\\t = \sqrt{\frac{2\Delta d}{g}}[/tex]

Plug in the given height and acceleration due to gravity (g ≈ 9.8 m/s²)

[tex]t = \sqrt{\frac{2(60)}{(9.8)}} = 3.5 s[/tex]

Now, use the following for finding the HORIZONTAL distance using its horizontal velocity:

[tex]\large\boxed{d_x = vt}\\\\d_x = 10(3.5) = \karge\boxed{35 m}[/tex]

What is the relationship between and experiment and a hypothesis

Answers

Answer:

an experiment is a way to test a hypothesis. A hypothesis is a prediction. You predict that if you change one thing (the independent variable) the other thing (the dependent variable) will change.

g A 24-gg bullet strikes and becomes embedded in a 1.50-kgkg block of wood placed on a horizontal surface just in front of the gun. Part A If the coefficient of kinetic friction between the block and the surface is 0.23, and the impact drives the block a distance of 9.5 mm before it comes to rest, what was the muzzle speed of the bullet

Answers

The muzzle speed of the bullet before the collision is 415.3 m/s.

The given parameters:

Mass of the bullet, m₁ = 24 gMass of the wood, m₂ = 1.5 kgCoefficient of kinetic friction, μk = 0.23Distance traveled by the block before stopping, d = 9.5 m

Apply the principle of work-energy theorem to determine the final velocity of the block-bullet system;

[tex]F_f \times d = \frac{1}{2} mv^2\\\\\mu_k F_n \times d = \frac{1}{2} mv^2\\\\\mu_ k (m_1 + m_2)g \times d = \frac{1}{2} (m_1 + m_2)v^2\\\\\mu_k g \times d= \frac{1}{2} v^2\\\\2\mu _k gd = v^2\\\\v= \sqrt{2\mu _k gd } \\\\v = \sqrt{2 \times 0.23 \times 9.8 \times 9.5} \\\\v = 6.54 \ m/s[/tex]

Apply the principle of conservation of linear momentum to determine the muzzle speed of the bullet;

[tex]m_1 u_1 \ + \ m_2u_2 = v(m_1 + m_2)\\\\0.024(u_1) \ + \ 1.5(0) = 6.54(0.024 + 1.5)\\\\0.024u_1 = 9.967\\\\u_1 = \frac{9.967}{0.024} \\\\u_1 = 415.3 \ m/s[/tex]

Thus, the muzzle speed of the bullet before the collision is 415.3 m/s.

Learn more about conservation of linear momentum here: https://brainly.com/question/7538238

A rocket has a mass of 600 kg. a What is its weight on Earth where g = 10 N/kg? b At lift-off the rocket engine exerts an upward force of 26 000 N. What is the resultant force on the rocket? What is its initial acceleration?

Answers

Answer:

a) 5000

b) 40m/s this is the right answers

Explanation:

but no so so sure

In your own words, describe how metter is identified​

Answers

Answer: It is identified with color, texture, boiling point, melting point and freezing point

Explanation:

Please answer the question in the picture

Answers

To me I would most think the answer is A.
PLEASE GIVE BRAINLIEST!!!

You are standing 30 m due east of a 50 kg person who is running at a speed of 20 m/s due west. What is the magnitude of that person's angular momentum about you (in units of )

Answers

Hi there!

We can use the following equation for angular momentum:

[tex]\large\boxed{L = mrv}[/tex]

m = mass (kg)

r = distance from reference point (m)

v = velocity (m/s)

We can simply plug-and-chug the values provided in the question.

L = (50)(30)(20) = 30000 kgm²/s

A physics professor leaves her house and walk along the sidewalk toward campus. After 5 min it starts to rain and she returns home. Her distance from her house as a function of time shown in figure: 1. At which of the labelled point is her velocity (a) zero? (b) Constant and positive? (c) constant and negative ? (d) Increasing in magnitude? (e) Decreasing in magnitude?

Answers

Answer: I think its zero-

I dont really know about this...

I need help with parts a and B of this question

Answers

Answer:

Explanation:

Let x be the leaf spring compression distance

F = kx

5.20 x 10⁵ = (5.45 x 10⁵)x + (3.80 x 10⁵)(x - 0.500)

5.20 x 10⁵ = (5.45 x 10⁵)x + (3.80 x 10⁵)(x) - 1.90 x 10⁵

7.10 x 10⁵ = (9.25 x 10⁵)x

x = 0.76756...

x = 0.768 m

W = ½(5.45 x 10⁵)0.768² +  ½(3.80 x 10⁵)(0.768 - 0.500)²

W = 174,148.648648...

W = 174 KJ

1. A 1.30 kg ball strikes a wall with a velocity of -10.5 m/s. The ball bounces off with a velocity of 6.50 m/s. If the ball is in contact with the wall for 0.0210 seconds, what is the force exerted
on the ball by the wall?
O 1050 N
22.1 N
0 402 N
0 651 N
CAN SOMEONE PLS PLS ACTUALLY HELP ME

Answers

Let F be the magnitude of the force. The impulse of this force while the ball is in contact with the wall is

Ft = F (0.0210 s)

and this impulse is equal to the change in the ball's momentum,

m ∆v = (1.30 kg) (6.50 m/s - (-10.5 m/s)) = (1.30 kg) (17.0 m/s)

Solve for F :

F (0.0210 s) = (1.30 kg) (17.0 m/s)

F = (1.30 kg) (17.0 m/s) / (0.0210 s)

F ≈ 1050 N

What is the significance of Isaac's name?

Answers

[tex] \large \bf{Answer:-}[/tex]

The name Isaac means “one who laughs” or “one who rejoices.” In the Old Testament of the Bible, Isaac is the firstborn son of Abraham. He is one of the three biblical patriarchs revered by Jews, Christians, and Muslims.

If a wave is traveling at a constant speed, and the frequency decreases, what would happen to the wavelength?

A. It would increase.

B. It would decrease.

C. It would remain constant.

D. It would drop to zero.

Answers

It would decrease because the frequency is decreasing

If the speed of the magnet is doubled, the induced voltage is ________ . twice as great four times as great half as great unchanged

Answers

If the speed of the magnet is doubled, the induced voltage is twice as great

Faraday's law of induction states that whenever relative motion exists between a coil and magnetic field, a voltage will induce in the circuit and this voltage is proportional to the rate of change of the flux. The expression for the motional emf is as follows:

ε=Blv

Here, ε is the motional emf, B is the magnetic field, l is the length of the conductor, and v is the velocity at which the magnetic field changes.

The induced voltage by the moving magnet is directly proportional to the speed of the magnet. Therefore, an increase in the speed of the magnet will increase the induced voltage.

If the speed of the magnet is doubled, the induced voltage is twice as great

Find out more at: https://brainly.com/question/13369951

a bicycle with tires 68 cm in diameter travels 9.2 km. how many revolutions do the wheels make

Answers

Answer:

Explanation:

Circumference in meters is

C = πD = 0.68π

9200 m / 0.68π m = 4,306.545518...

4,306.5 revolutions

A bicycle with tires 68 cm in diameter travels 9.2 km. the number of revolutions made by the wheel would be 4309

What is Velocity?

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.  It can also be represented by the infinitesimal rate of change of displacement with respect to time. The unit of velocity is meter/second.

The mathematical expression for velocity is given by

velocity= displacement  / time taken

As given in the problem a bicycle with tires 68 cm in diameter travels 9.2 km

Diameter = 68 cm

radius = diameter /2

          = 68/2

         = 34 cm

The distance covered by the tire in one cycle would be

distance in one revolution = 2π×Radius

                                            = 2×3.14× 34

                                            = 213.52 cm

                                            =2.13 m

The number of revolutions by wheel = total distance/distance in one revolution

number of revolutions = 9200/2.135

                                    =4309 revolutions

Thus, the number of revolutions made by the wheel would be 4309

Learn more about Velocity from here

brainly.com/question/18084516

#SPJ6

Other Questions
Yall whats this I dont feel like doing it and Ill give brainlist too Mario and Andrew's hourly charge for mowing lawns is shown.Mario: $8.25/hAndrew: $5.85/hSuppose Mario and Andrew each worked for 20 hours. About how much more money did Mario earn? 1. What is a proposed law in government Help i dont get it Which nitrogenous base is NOT found in RNA? 1 Adenine 2 Cytosine 3 Guanine 4 Thymine5 Uracil Can someone do it and explain please? I dont get it What force must be applied to a truck of mass 300kg for it to accelerate at 5m/s2 how many national championships does nebraska volleyball have PLS HELP ASAP ILL GIVE BRAINLKEST THANKS Utopia is an idealized society.True or False(please help me fast What are THREE ways the author develops Georges and Ashleys opposing points of view?A through stage directionsB through Ashleys wordsC through the settingD through characters' thoughtsE through Georges words an airplane flies with a constant speed of 620 miles per hour. how far can it travel in 3 1/2 hours? OMG HELP RN I GIVE BRIAINLIST Select the answer that would make this sentence completely correct.The Princess had not never cooked before so she got out a recipe book but everything she read was incoherent to herQuestion 5 options:the princess had never cooked before, so she turned to a recipe book. Everything she read was incoherent to her.The princess had never cooked before, so she turned to a recipe book. Everything she read was incoherent to her.The princess had never cooked before so she turned to a recipe book. Everything she read was incoherent to her.the princess had never cooked before, so she turned to a recipe book. Everything she read was incoherent to her A denotation is a literal or specific dictionary meaning. Many use context clues to decide on the meaning of a word that they may not be familiar with. True or False The Civil Rights Act of 1964 affected the lives of African Americans by:A. making racial intimidation and violence a federal crime.B. banning segregation in schools and forcing integration.C. outlawing discrimination on the basis of race.D. offering legal assistance to African Americans whose rights were violated. The paths that planets follow around the sun are called ____ , and they are shaped like an ellipse. PLEASE NO LINKS AND NO NEGATIVITY 28. Which category is zero NOT a part of?NYA. WholeB. IntegersC. RationalD. Natural Can You Solve This?(if you can't see what it says the question is: "Using given algebra tiles, write an expression that is equivalent to the quantity represented in the model below" ) Which statement is generally true about retirement?A. Your income will increase, while your expense will stay the same.B. Your income will decrease, while your expenses will increase.C. Your income will increase, while your expenses will decrease.D. Your income will decrease, while your expenses will stay the same.