consider two vectors A and B Where A-B and |A+B|=|A-2B| vector B is directed in the positive x_direction and A makes an angle of 60°above the positive x_axis find magnitude of the two vectors​

Answers

Answer 1

Answer:

It should be mentioned that an efficient way to work this vector addition problem is with the cosine law for general triangles (and since  

a

,

b

 and  

r

 from an isosecles triangle, the angles are easy to figure). However, in the interest of reinforcing the usual systematic approach to vector addition, we note that the angle  

b

 makes with the +x axis  is 30

0

+105

0

=135

0

(a) The x component of  

r

x

=(10.0m)cos30

0

+(10.0m)cos135

0

=1.59m

(b)  the y component of  

r

 is r

y

=(10.0m)sin135

0

 = 12.1 m.

(c) the magnitude of  

r

 is r =  ∣

r

∣=

(1.59m)

2

+(12.1m)

2

=12.2m

(d) The angle between  

r

 and the +x direction is tan

−1

[(12.1m)/(1.59m)]=82.5

0

Explanation:


Related Questions

A 2.3 kg ball has 76 J of kinetic energy. How fast is it moving? Show all work and use correct units of measurement for the answer to get full credit.

Answers

Answer:

8.13 m/s

Explanation:

The kinetic energy of an object can be found by using the formula

[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]

m is the mass in kg

v is the velocity in m/s

To find the velocity we make v the subject of the equation

That's

[tex]v = \sqrt{ \frac{2k}{m} } \\ [/tex]

From the question

k = 76 J

m = 2.3 kg

We have

[tex]v = \sqrt{ \frac{2 \times 76}{2.3} } = \sqrt{ \frac{152}{2.3} } \\ = 8.129388...[/tex]

We have the final answer as

8.13 m/s

Hope this helps you

251mL=25100L
True or false and why or why not?

Answers

Answer:

False

Explanation:

To find how many liters 251mL is you would need to divide 251 by 100 which is 0.251.

The total power input to the leaf blower is 750 W. The useful power outlet of the leaf blower is 360 W. Calculate the efficiency of the leaf blower.

Answers

H = Pu / P x 100% = 360/750 x 100% = 48%

P/s: Pu is the useful power outlet of the leaf blower

P is the total power input to the leaf blower

ok done. Thank to me :>

The table shows the diameters of the planets in our solar system. Assume that a basketball whose diameter is 25
centimeters represents the planet Jupiter. Find the scale (ratio) between Jupiter and the basketball. Then use this ratio to
find the scaled diameter of the other planets. Enter these numbers into the table. (Saturn has been done for you.) Finally,
choose a real-world spherical or nearly spherical object that matches the scaled diameter of each planet.
Saturn is shown as an example. To find what Saturn's size would be after adjusting it to scale, follow these steps. Let the
scaled diameter of Saturn be d centimeters. If Jupiter's diameter, 142,984 kilometers, is scaled to 25 centimeters, Saturn's
diameter of 120,536 kilometers will be scaled to about 21 centimeters:
120,536
d
120,536x25
142,984
d ~ 21 cm
Use this process to complete the table.
142,984
25

Answers

Answer:

Mercury:

.85

pea

Venus:

2.1

gumball

Earth:

2.2

gumball

Mars:

1.2

marble

Uranus:

9

grapefruit

Neptune:

8.6

softball

Explanation:

I have no clue if I'm right but hopefully, I am

if a balloon is squeezed, what happens to the pressure of the gas inside the balloon?

Answers

Answer:   By squeezing the balloon, you reduce the space the gas particles can occupy. As the particles are pushed a bit closer together, they collide with more, so the pressure from the moving gas particles increases. If the volume increases, its pressure decreases.

UV light has ______ wavelengths than visible light waves, and its peak energy is at a wavelength of ______.

Answers

Explanation:

Shorter wavelength since UV light has more energy than visible light

365 nm - What is the peak energy wavelength of UV light?  It allows both infrared daylight and ultraviolet night-time communications by being transparent between 320 nm and 400 nm and also the longer infrared and just-barely-visible red wavelengths. Its maximum UV transmission is at 365 nm

As the skydiver's ______increases, so does the magnitude of the force due to friction.

Answers

Answer:

speed?

Explanation:

give me more information

How is a controlled variable different from a responding variable? O A. A controlled variable changes due to changes in the responding variable during the experiment. B. A controlled variable stays the same throughout an experiment, but a responding variable changes, C. A controlled variable changes throughout an experiment, but a responding variable stays the same. O D. A controlled variable stays the same due to changes in the responding variable during the experient.​

Answers

Answer:The controlled variable is the one that you keep constant. The responding variable or variables is what happens as a result of the experiment

Explanation:Mark me brainly please

please help me thank you​

Answers

Answer:

Refer to the attachment

What is the weight, on Earth, of a book with a mass of 1. 5 kg? 1. 5 N 6. 5 N 11. 3 N 14. 7 N.

Answers

Answer:

The weight, on Earth, of a book with a mass of 1.5kg is 14.7N.

Explanation:

Hi there!

Weight of an object = mass (kg) × acceleration due to gravity (N/kg)

Plug in the given values using the g constant g = 9.8 N/kg:

W = 1.5 × 9.8 = 14.7 N

if you exert a force on an object, but the object remains stationary as you apply the force, then how much work have you done on the object?

Answers

Answer:

no work done

Explanation:

unless you moved the object

When we apply a force on an object, but the object remains at rest when the force is applied, then we have zero work done on the object because the object does not move.

What is Work done?

Work done by a force is defined as the product of the displacement and the component of the force exerted by the object in the direction of displacement. Work done is expressed as:

Work done= Force* Displacement

When an object is at rest, there is no external force on it except gravity acting on it, in which case work will be zero because the force acting on it is perpendicular. Thus displacement is zero and if displacement is zero then work done will be zero.

Suppose that displacement is zero then,

W=f×0

Work done is zero

Thus, the work done is zero.

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a force acting on 25kg mass produces an acceleration of 4m/square what would this the same force produce on a 12kg mass​

Answers

Answer:8.3m/s

Explanation:

from F=ma, f=25*4=100N. since the force is 100, 100=12a. acceleration= 8.3m/s


[tex] \huge \mathcal{Question}[/tex]


Can someone Help me with this question ?

(I need proper Explanation if possible)

Thanks for Answering ~ ​

Answers

Answer:

c. Force applied is 75 N

EDITED

tan 37 = a/g

a = 3g/4

a in equation

t× 3/5 = 2 × 3g/4

t = 5× 10/2

t = 25n

f = ma

f = ( mt + mb )a

F = 10 × 3× 10/4

F = 75 n

• Correct option is (C).

We know that the angle made by string is θ=

[tex]tan {}^{ - 1} ( \frac{a}{g} )[/tex]

where a is the acceleration of the frame in which the string is hanging in our case it is a trolley.

[tex]putting  \: θ=37° \: or \: tan \: 37° = \frac{3}{4} [/tex]

[tex]we \: get \: a \: \frac{3g}{4} = \frac{30}{4} = 7.5 \: m/s^2[/tex]

[tex] \boxed{Force \:  F=total  \: mass \:  of \:  the  \: system \:  on  \: which  \: force  \: is  \: acting ×acceleration  \: of  \: the  \: system=(8+2)×7.5=75 }[/tex]

[tex] \boxed{ so \: force \: is \: 75 \:N. }[/tex]

explique ¿por que un objeto que tiene energía es capaz de realizar un trabajo?

Answers

By striking another object that is free to move, the moving object can exert a force and cause the second object to shift its position. While the object is moving, it has the capacity for doing work. Energy means the ability to do work, so all moving things have energy by virtue of their motion.




Translation: Al golpear otro objeto que se puede mover libremente, el objeto en movimiento puede ejercer una fuerza y ​​hacer que el segundo objeto cambie de posición. Mientras el objeto se mueve, tiene la capacidad de realizar un trabajo. Energía significa la capacidad de realizar un trabajo, por lo que todas las cosas en movimiento tienen energía en virtud de su movimiento.

Please help!
What is momentum?

Answers

Answer:

a property  of a moving body that the body has by virtue of its mass  and motion and that is equal to the product of the body's mass and velocity

Explanation:

Formula:

Momentum: Mass x Velocity

Hope it helps!

Which of the following are for vector directione?
A Outside 45 degrees
G 35 degrees north of east
D 35 degrees inside

Answers

Answer:
C. outside 45 degrees
Step-by-step explanation:
C. outside 45 degrees
because it can be any point or direction outside 45 degrees

What would the kinetic energy of a 20kg person running at a velocity of 2.5m/s?

Answers

Answer:

62.5 J

Explanation:

The kinetic energy of an object can be found by using the formula

[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]

m is the mass in kg

v is the velocity in m/s

From the question

m = 20 kg

v = 2.5 m/s

From the question we have

[tex]k = \frac{1}{2} \times 20 \times {2.5}^{2} \\ = 10 \times 6.25 \\ = 62.5\: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

62.5 J

Hope this helps you

Copper is a type of metal.
A block of copper has a mass of 2.0kg.
The block of copper absorbs 12000J of thermal energy.
The specific heat capacity of copper is 385J /(kg°C).
What is the temperature rise of the copper?
A 15.6°C B 31.2°C C 46.8°C D 62.4°C

Answers

The temperature rise in the copper is. I think its 0.393

The temperature rise in the copper is. I think its 0.393. Copper is a chemical element with the symbol Cu (from Latin: cuprum) and atomic number 29.

What is Capacity of copper?

The chemical element copper (Cu) is a reddish, incredibly ductile metal belonging to Periodic Group 11 (Ib) that has an exceptional ability to conduct heat and electricity.

In nature, copper can be found in its free metallic state. Neolithic (New Stone Age) humans originally utilised this local copper (about 8000 BCE) as a substitute for stone.

Around 4000 BCE, Mesopotamia saw the beginning of metallurgy as copper was cast into molds, reduced to metal from ores with fire and charcoal, and purposefully alloyed with tin to form bronze (c. 3500 BCE).

Therefore, The temperature rise in the copper is. I think its 0.393. Copper is a chemical element with the symbol Cu (from Latin: cuprum) and atomic number 29.

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Which statement about a HORIZONTAL projectile is false?

The horizontal velocity is constant.

The horizontal acceleration is constant.

The vertical velocity is constant.

The vertical acceleration is constant.

Answers

Answer:

the vertical velocity is constant.

Explanation:

The horizontal velocity of a projectile is constant (a never changing in value), There is a vertical acceleration caused by gravity; thus, the vertical velocity of a projectile changes. and the horizontal motion of a projectile is independent of its vertical motion.

What happens to the volume of a fixed amount of gas if both the pressure and the absolute temperature are doubled

Answers

Answer: no change in volume

Explanation:



Use the graph of velocity versus time for an object to answer the question.

Which statement fairly compares segment 2 and segment 3?
(1 point)
O These represent equal periods of time, but the force during segment 2 is different than the force during segment 3.
These represent different periods of time, but the force acting on the object is the same during each period of time.
O These represent different periods of time, and the force during segment 2 is different than the force during segment 3.
O These represent equal periods of time, and the force acting on the object is the same during each period of time.​

Answers

The statement which fairly compares segment 2 and segment 3 is These represent equal periods of time, but the force during segment 2 is different than the force during segment 3.

Since segment 2 starts at t = 60 s and ends at t = 150 s, the time interval is Δt = 150 - 60 = 90 s.

Also, segment 3 starts at t = 150 s and ends at t = 240 s, the time interval is Δt = 240 - 150 = 90 s.

So, their time periods are the equal.

We notice that segment 2 is less steep than segment 3 this implies that the acceleration in each segment is different, since the acceleration is the slope of the graph.

Since force is determined by acceleration, this implies that the force on segment 2 is different form the force acting in segment 3.

So, we have equal time periods but different forces.

So, the statement which fairly compares segment 2 and segment 3 is These represent equal periods of time, but the force during segment 2 is different than the force during segment 3.

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Answer:

Segments 2 and 3 have equal periods of time but the force during segment 2 is different than the force during segment 3 !! :)

Explanation:

What energy is used or given off by a fire?

Answers

Answer:

Heat is given off by Fire.

Explanation:

Please Help

A car travels on a straight road with velocity components of 20 m/s west and 70 m/s south. What is the total distance the car travels in 50 s?

Answers

I know I don’t know what the problem

how to add ratio numbers can someone give me an exzample

Answers

Answer:

When the denominator of both ratios is the same, adding the ratio is simple. You just add the numbers to the left of the colon (this number is called the Ratio Numerator)xplanation:

22.13 .. Two very long uniform lines of charge are parallel and are separated by 0.300 m. Each line of charge has charge per unit length 5.20 mC>m. What magnitude of force does one line of charge exert o

Answers

Answer:

Two very long uniform lines of charge are parallel and are separated by 0.300 m. Each line of charge has charge per unit length.

Explanation:

2. Summarize how to use a spring scale to measure a pull and how to use it to apply a push with
a specific force.

Answers

If the spring constant is known, the extension or compression of the spring can be used to calculate the applied force (pull or push) on the spring.

According to Hook's law, the force applied to an elastic material is directly proportional to the extension of the material.

The force applied;

F = kx

where;

k is the spring

The applied force can be in form of push or pull. A push force can result in compression of the spring while a pull force can result in extension of the spring.

If the spring constant is known, the extension or compression of the spring can be used to calculate the applied force (pull or push) on the spring.

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What does the state of matter of an object depend on?

type of molecules

size of molecules

speed of molecules

number of molecules

Answers

The answer is: C - speed of molecules

Explanation:

A substance's state of matter — solid, liquid, gas, or plasma — depends on how its molecules move and maintain their volume and shape.

Which of the followng is Newton's Second Law?

a. An object in motion will stay in motion unless acted upon by an unbalanced outside force
b .Force = mass times acceleration
c.When one object puts a force on the another object, the second object puts a force back on the first, equal in magnitude and opposite in direction

Answers

Answer:

A

Explanation:

Which of these is a unique use of beta particles?
A. CT scanners
B. Tracing chemicals in the environment C. Killing bacteria
D. Smoke detectors​

Answers

Answer:

The answer is A, CT scanners.

A car starts from rest and for 15.0 s its wheels has a constant linear acceleration of 0.800 m/s^2 to the right. What is the angle through which each wheel rotated in 20.0 s interval if the radius of the tires is 0.330 m?

Answers

237.375 rad. …………………
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Help help help help help help hi would love some ideas for my 'The Ivy Princess' story please!!! best idea = brainiest In an effort to win fans across racial lines and help put an end to prejudice, Berry Gordymade strict rules for the appearance, behavior, and even social lives of his musicians. Doyou believe he was right to do so? Why or why not? The text: (Whats on the picture attached) ^ Motown Records was founded by music producer Berry Gordy Jr. in 1959. After gettinghis start as a songwriter for singers in the Detroit area, he wanted to try his hand atproducing. He began signing local artists to his new label, Tamla, which later becameMotown Records. The songs released by his label showed a signature sound - big, boldorchestrations of jazz, blues, and R&B styles, reflecting the largely African-Americanculture of the Detroit area - that Gordy called "The Sound of Young America". It wasn'tlong before Motown began scoring hit after hit with songs like "Please Mr. Postman""Where Did Our Love Go", "Ain't Too Proud to Beg", and many other songs that define themid-to-late 1960s for many people. Many of the artists Gordy signed to Motown went on tobecome legendary, like Smokey Robinson and the Miracles, Diana Ross and theSupremes, The Temptations, Stevie Wonder, Marvin Gaye, and the Jackson Five. From1961 to 1971, Motown had 110 top 10 hit songs, including classics like "My Girl", "I WantYou Back", and "Ain't No Mountain High Enough". The songs that were recorded on theMotown label inspired countless musicians, and the artists that performed them paved theway for African-Americans in entertainment.Plz help thank you. BRAINLIEST please help me tyYou can just do two questions or even just one but I would appreciate all Please solve these algebraic questions? THANKS please i will mark brainliest and give 50 points for the anwser please help soon Find values of x and y Rocks and fossils leave evidence of the conditions that were present when they formed.true of false What is the connotation of the word incidents as spoken by Lindner? violence mishaps events occasions level Easy:A football team loses 6 yards on their first play. it gains 8 yards on the next play. What is the sum of -6+8?good luck :)) PLEASE HELP WITH THIS ONE QUESTION The area of a square is 300 feet. What is the side length of the square? Round to the nearest tenths place. Budesonide (Pulmicort Respules) 0.2 mg is prescribed via nebulizer. Budesonide is available as 250 mcg/2ml. How much budesonide should be administered via nebulizer at each dose City planners are planning to build a new community pool. They agree that the pool will be rectangular in shape, but the proposed dimensions changed. At the most recent meeting, it was determined that the width would remain at 11.6 meters but that the length would increase by 3.7 meters. So, the pool would now cover an area of 205.85 square meters.Which equation can be used to determine the original length of the pool, l?205.85=2(l+15.3)205.85=11.6(l+3.7)205.85=3.7(l+11.6) atherosclerotic heart disease of native coronary artery 100 POINTS How could you use the Commutative Property of Multiplication to rewrite the expression 21(7)?A. 7(-21)B. 21 + (-7)C. 7 + (-21) D. 3(7 - 21) Mr. Williams bought a plot of land for $ 40 000. The value of the land appreciated by 7% each year. What is a standard form equation of the line through (0,-3) with slope 2/5? what are the advantages of 2022 muranos large displacement engine design? Water has higher specific heat than aluminum. This is all what you should know to answer following questions. An aluminum rod of mass 1 kg at temperature of 80^0C is placed into 1l of water of temperature 10^0C . there is no heat exchange with surroundings. Which material experiences greater change in temperature while system is reaching the thermal equilibrium