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

Can you achieve Light Speed with a Perpertual Motion Machine containing High Energy?​

Answers

Answer:

Yes

Explanation:

Perpetual Motion Machine (PMM) which can be applied to produce electricity, may be an alternative solution for the problem the world is facing today. The machine is designed to generate power from repulsive forces of permanent magnet without utilizing external sources.

In a titration, 50.00 cm3 of 0.300 mol/dm3
sodium hydroxide solution is exactly neutralized by 25.0
cm3 of a dilute solution of hydrochloric acid.
NaOH(aq) + HCl(aq) → NaCl(aq) + H2O(l)
Calculate the concentration of the hydrochloric acid. Show your work out

PLS URGENT ANS

Answers

Answer:

Step 1: Calculate the amount of sodium hydroxide in moles

Volume of sodium hydroxide solution = 50.0 ÷ 1,000 = 0.05 dm3

Rearrange:

Concentration in mol/dm3 = amount of solute in molvolume in dm3

Amount of solutein mol = concentration in mol/dm3 × volume in dm3

Amount of sodium hydroxide = 0.300 × 0.05

= 0.01 5mol

Step 2: Find the amount of hydrochloric acid in moles

The balanced equation is: NaOH(aq) + HCl(aq) → NaCl(aq) + H2O(l)

So the mole ratio NaOH:HCl is 1:1

Therefore 0.015 mol of NaOH reacts with 0.015 mol of HCl

Step 3: Calculate the concentration of hydrochloric acid in mol/dm3

Volume of hydrochloric acid = 25.00 ÷ 1000 = 0.025 dm3

Concentration in mol/dm3 = amount of solute in molvolume in dm3

Concentration in mol/dm3 = 0.015/0.025

= 0.6 mol/dm3

Step 4: Calculate the concentration of hydrochloric acid in g/dm3

Relative formula mass of HCl = 1 + 35.5 = 36.5

Mass = relative formula mass × amount

Mass of HCl = 36.5 × 0.6

= 21.9 g

So concentration = 21.9 g/dm3

I'LL MARK YOU BRAINLIST ......By referring to the graph shown below, the acceleration from t = 0 s to t = 25 s is:
positive
negative
zero
increasing

Answers

Answer:

When an object is speeding up, the acceleration is in the same direction as the velocity. Thus, this object has a positive acceleration. In Example B, the object is moving in the negative direction (i.e., has a negative velocity) and is slowing down.

Explanation:

Answer:

It’s zero.

Explanation:

It’s a straight line so its at a rest.

in an rfid system, where would the unique data identifying an item typically be found?

Answers

In a radio frequency identification (RFID) system, the unique data identifying an item are typically found in: tags.

What is an RFID system?

RFID is an acronym for radio frequency identification.

A RFID system can be defined as an automatic, wireless, identification technology (device) that is typically designed to allow end users store and retrieve information, especially through the use of an electromagnetic field.

The operational benefits of an RFID system:

Generally, a radio frequency identification (RFID) system is used for the following:

1. To identify an item or individual.

2. To trace and tracking an item or individual.

3. To track an item or individual.

The components of an RFID system:

An RFID system is a wireless, identification technology (device) that comprises two (2) main components and these are:

ReadersTags

Tags refer to small objects containing an antenna and a chip (smart barcodes) that are used to automatically identify an item or individual they are embedded in or attached to.

In conclusion, the unique data that are used in identifying an item are typically found in tags.

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Find the gravitational potential energy of a body of mass 25kg,kept at a height of 4m If g=10m/s'.

Answers

Answer:

Explanation:E=mgh=25×4×10=1000J

The internal energy is the total kinetic energy and __________ energy of all the particles that make up a system. What word completes the sentence?

Answers

Answer:

Potential

Explanation:

The internal energy is the total amount of kinetic energy and potential energy of all the particles in the system. When energy is given to raise the temperature, particles speed up and gain kinetic energy.

Hope this helps :)

20 examples of electropositive radical

Answers

What equipment is generally used to make lyophilized medications suitable for administering to the patient? a) Test tubes or sterile ampules b) Petri dishes and sterile droppers c) Sterile syringes or graduated cylinders d) Measuring cups and clean, warm water

HELP PLEASE
2. What is the potential energy of a 2000 g basketball that is stuck on the rim of a 3m hoop?

Answers

Answer:

[tex]U_g=58.86 J[/tex] or [tex]U_g=60 J[/tex]

Explanation:

Answer is attached. I do not know if you needed to use 9.81 or 10 for the acceleration due to gravity, so both solutions are attached.

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.

the schwarzschild radius of a black hole depends on

Answers

Answer:

The mass of the object.

Explanation:

Happy Thanksgiving!

The Schwarzschild radius of a black hole depends solely on its mass. The Schwarzschild radius is a concept in general relativity that defines the boundary known as the event horizon.

The formula for the Schwarzschild radius is given by:

r_s = 2GM / c²

Where: r_s is the Schwarzschild radius

As the mass of the black hole increases, its Schwarzschild radius also increases. This means that a more massive black hole has a larger event horizon and a stronger gravitational pull.

The mass of the black hole is the primary factor determining the size of the Schwarzschild radius, while other properties, such as spin or charge, can also affect the structure and behavior of the black hole but do not directly impact the Schwarzschild radius.

Therefore,The Schwarzschild radius of a black hole depends solely on its mass.

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A wooden block moves at a constant speed on a rough horizontal surface. Draw a free-body diagram
clearly showing all the forces applied to the block; compare their magnitudes and directions.

Answers

The weight of the block and normal reaction are equal in magnitude but opposite in direction. Also, the frictional force and applied force are equal in magnitude but opposite in direction.

The forces acting on the wooden block moving at a constant speed include the following;

weight of block acting downwards, Wnormal reaction on the block acting upwards, Napplied force on the block acting towards positive x-direction, Ffrictional force acting towards negative x-direction, [tex]F_f[/tex]

The free-body diagram is presented below;

                                         

                                              N

                                              ↑

                               [tex]F_f[/tex]      ←  ⊕  →   F

                                              ↓

                                              W

The block is moving at a constant speed, we will have the following;

[tex]W = N \\\\F = F_f[/tex]

Thus, we can conclude that the weight of the block and normal reaction are equal in magnitude but opposite in direction. Also, the frictional force and applied force are equal in magnitude but opposite in direction.

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the ground wire on a household circuit is typically what color

Answers

Answer:

Hey mate....

Explanation:

This is ur answer.....

Green & Yellow

Hope it helps!

Brainliest pls!

Follow me! :)

The ground wire on a household circuit is green in color in a typical household

What is an electric charge?

Charged material experiences a force when it is subjected to an electromagnetic field due to the physical property of electric charge. You can have positive or negative electric charges (commonly carried by protons and electrons respectively). opposing charges attract one another whereas similar charges repel one another. We refer to an object as neutral if it has no net charge.

The charge on one electron is -1.6 ×10⁻¹⁹ coulomb.

The ground wire is either bare or has green insulation in most residential branch circuit cables in the US.

The norm in Europe and the UK is

live, brown

neutral is blue.

stripes with green and yellow: earth.

Thus,the ground wire on a household circuit is green in color in a typical household

Learn more about an electric charge from here

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give to examples of electrical energy being transformed into light?

Answers

Answer:

A lightbulb is connected to an outlet that has a source of electricity. The electrical energy is converted into light energy to allow the bulb to glow.

Explanation: Lightning is a discharge of static electricity. The lightning bolt lights up the sky.

A SMART car can accelerate from rest to a speed of 28 m/s in 20s. What distance does it travel in this time?

Answers

Speed= distance/ time so distance = speed * time= 28 * 20= 560m .. so the answer is 560m.. l hope it helped :)


[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]

What nation recently blew up one of its own satellites as part of a missile test, triggering a warning from the u.s. over a potentially dangerous debris field?

Answers

Answer:

Russia

Explanation:

my answer was deleted for no reason. apparently i was violating community guidelines when i wasnt. anyways, the answer is russia...

The initial temperature of the mixture was +20 °C. The mixture froze at -1.5 °C.
A total of 165 kJ of internal energy was transferred from the mixture to cool and
freeze it.
specific heat capacity of the mixture = 3500 J/kg °C
specific latent heat of fusion of the mixture = 255 000 J/kg
Calculate the mass of the mixture.
Give your answer to 2 significant figures.
[6
M

Answers

Answe16000/3500(-1.5-2-)225000= 1.1

Explanation:

The mass of the mixture will be 2.19 ×10⁻³ kg. The unit of mass is kg and it is a scalar quantity.

What is mass?

Mass is a numerical measure of inertia, which is a basic feature of all matter. It is, in effect, a body of matter's resistance to a change in speed or position caused by the application of a force.

In the International System of Units (SI), the kilogram is the unit of mass.

The given data in the problem is;

The initial temperature of the mixture was, [tex]\rm T_i = 20 ^0 \ C[/tex]

The mixture froze at the temperature of, [tex]\rm T_F = -1.5 ^0 \ C[/tex]

The internal energy is,[tex]\rm E = \rm 165 \ kJ[/tex]

The specific heat capacity of the mixture is,[tex]\rm C = 3500 J/kg ^0C[/tex]

The specific latent heat of fusion of the mixture is,[tex]\rm l = 255 000 J/kg[/tex]

m is the mass of the mixture,

The latent heat is equal to the heat transfer. Because the net work done is zero.

The formula for the heat transfer is found as;

[tex]\rm Q = mCdt \\\\ m = \frac{Q}{Cdt} \\\\ m = \frac{165 }{3500(20-(-1.5)} \\\\ m = 2.19 \times 10^{-3} \ kg[/tex]

Hence the mass of the mixture will be 2.19 ×10⁻³ kg.

To learn more about the mass refer to the link;

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As a speaker, I should know my purpose and method of delivery before giving my speech so...​

Answers

Explanation:

I will prepare my speech first and then I will give a speech on it.

Is a football tackle an elastic or inelastic collision and why?

A: elastic, because momentum is conserved

B: inelastic, because kinetic energy is conserved

C: inelastic, because momentum is not conserved

D: inelastic, because kinetic energy is not conserved

Answers

If the kinetic energy of an object changes, then the collision is considered inelastic. This is regardless of whether the objects sticks together or not.

My best answer for this question would be D) inelastic, because kinetic energy is not conserved.

We can tell from the collision that it is not elastic.

Momentum is is conserved, it transfers to the other player.

Kinetic energy is not conserved, at it turns into internal friction.

I hope this helps! :)

A football tackle is an inelastic collision , because kinetic energy is not conserved.

What is collision?

When two bodies or particles move towards enough to interact with each other it is called the particles or the bodies are colliding.

What are the types of collision?Elastic collisioninelastic collisionWhat is an elastic collision?In this type of collision , there is no loss of kinetic energy.The momentum and kinetic energy both are conserved.What is an inelastic collision?in this type of collision , there is a loss of kinetic energy.The momentum of the system is conserved but the kinetic energy is not conserved .

So, when the football tackles it's kinetic energy changes.

Thus, A football tackle is an inelastic collision , because kinetic energy is not conserved.

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Mention the methods of census and explain each of them in brief​

Answers

Answer:

Census includes the total process of collecting, compiling, analyzing, evaluating, publishing and disseminating statistical data regarding the population and housing and their geographical location. Population characteristics include demographic, social and economic data and are provided as of a particular date (reference period).

Census Methods:

Population censuses typically use one of two approaches:

De facto – meaning enumeration of individuals as of where they are found in the census, regardless of where they normally reside.

De jure - meaning enumeration of individuals as of where they usually reside, regardless of where they are on census day.

An object of mass of 2.0 kg rotates at constant speed in a horizontal circle of radius 5.0 m. The time
for one complete revolution is 3.0 s. What is the magnitude of the resultant force acting on the object.

Answers

Explanation:

follow the above attachment to get the answer.

Cho mạch điện gồm ba điện trở mắc nối tiếp nhau. Biết R 1 = 8Ω, R 2 = 12Ω, R 3 = 4Ω. Hiệu điện thế giữa hai đầu đoạn mạch U = 48V. Tính hiệu điện thế giữa hai đầu mỗi điện trở.

Answers

56gq2391$/= 343568

hope u understand me

foetus grows by receiving nutriens and oxygen from the mother. How does the foetus receive these nutriens and oxygen?​

Answers

Answer:

From the very beginning, the developing cells need oxygen and nutrients. The fetus receives its nutrition from the mother through the placenta and the umbilical cord.

Explanation:

A stomp rocket takes 3.1 seconds to reach its maximum height.
What was its maximum height?

Answers

Answer:

height where rocket goes

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can someone pls help me in this q

Answers

Answer: B

Explanation:

The coefficient of kinetic friction between a couch and the floor is .81 if the couch has a mass of 71 kilograms and you push it with a force of 650 newtons what is the net force on the couch as it slides

Answers

Hi there!

The equation for the kinetic friction force is:

[tex]F_{kf} = \mu mg[/tex]

We can begin by doing a summation of forces acting on the couch where a positive force is in the direction of the couch's acceleration, or in the direction of the push.

Thus:

[tex]\Sigma F = F_A - F_{kf}[/tex]

Now, plug in the values:

[tex]F_{net}= 650 - (.81 * 9.8 * 71) = \boxed{86.4 N}[/tex]

What do scientists call a substance that contains atoms from two or more different elements that are chemically bonded?

Atom
Compound
Element
Molecule

Answers

Answer is b compound is a substance that contains two or more elements chemically combined in a fixed proportion. The elements carbon and hydrogen combine to form many different compounds.

• What net force is needed to accelerate a 1200 kg car along a
horizontal surface from rest to 130 km/h in 80 seconds?

Answers

Hi there!

We can begin by converting 130 km/h to m/s:

[tex]\frac{130km}{1hr} * \frac{1hr}{3600s} * \frac{1000m}{1km} = 36.11 m/s[/tex]

Find the acceleration associated with this velocity change in the given time frame:

vf = vi + at (vi = 0 m/s)

vf = at

vf/t = a

36.11/80 = 0.45 m/s²

Now, we can calculate Net Force using Newton's Second Law:

∑F = ma

∑F = (1200)(0.45) ≈ 540 N

Josh and jake are both helping to build a brick wall which is 6 meters in height. They each lay 250 bricks, but josh finishes this task in 3 hours while jake requires 4.5 hours to complete his part. Who does more work, or do they both do the same amounth? Who has more power? Explain.

Answers

Each laid 250 bricks but while Jake was
still working, Josh was lounging in the
shade. Josh has more power but that
power was only on for 3 hours out of 4.5.
Obviously Josh could get more done is less
time as long as he keeps working. Jake will
get the hang of it soon.

A small sphere 0.70 times as dense as water is dropped from a height of 8 m above the surface of a smooth lake. Determine the maximum depth to which the sphere will sink. Neglect any energy transferred to the water during impact and sinking.

Answers

Answer:

18.66m

Explanation:

This was actually fun! Let set up the problem first: As you drop the sphere, it will accelerate till it hits the water with a given speed [tex]\dot z[/tex]. Once sinking the ball is subjected to two forces: its own weight [tex]m_sg = \rho_sVg[/tex] directed towards the bottom of the lake, and buoyancy (Archimedes law), ie a force upward equal to the volume of displaced water, [tex]m_wg=\rho_wVg[/tex]. At this point it's the classical "how high can I toss a ball before it falls down" with a water twist. Please note that I'm using z as the height of the sphere, and [tex]\dot z; \ddot z[/tex] represent the velocity (with one dot) and the acceleration (with two dots) in the z direction .Let's assume the sign of all quantities being positive if directed upwards, and negative if towards the bottom of the lake.

Let's first determine how fast the ball hit the water. For me the easiest way is saying "at 8m it has a given potential energy, and 0 kinetic energy. When it hits the water it loses all potential energy and has only kinetic energy". In numbers:

[tex]m_sgz=\frac12m_s\dot z_0^2[/tex] Let's divide by the masses, g is a known value ([tex]9.81 ms^{-2}[/tex]), z is 8 meters, and we get that [tex]\dot z_0 = 4\sqrt g =12.52 m/s[/tex]

At this point, let's determine the force acting on the sphere, courtesy of Newton second law and the debate we had earlier:

[tex]m_s \ddot z = -m_sg + m_wg\\\rho_sV \ddot z = -\rho_sVg + \rho_wV g[/tex]

At this point we can divide by the volume of the sphere, and make use of the fact that [tex]\rho_s = 0.7 \rho_w[/tex]

[tex]0.7\rho_w \ddot z = -.7\rho_w g+ \rho_wg \rightarrow 0.7 \ddot z = 0.3 g\\\ddot z = \frac {0.3}{0.7} g= \frac 37g = 4.2 ms^-2[/tex]

We're almost there. At this point we can write the law of motion for the sphere.

[tex]\dot z = \dot z_0 + \ddot z t[/tex] that we will use to find the time for the ball to stop sinking - ie reaches 0 velocity.

[tex]0 = -12.52 +4.2t \rightarrow t= 12.52/4.2 \approx 3s[/tex]

At this point we can use the other law of motion to find out the distance traveled

[tex]z= z_0 + \dot z_ot + \frac12 \ddot z t^2\\z= 0 -12.52 (3) + \frac12 (4.2)(3)^2 = -37.56+18.90 = -18.66 m[/tex]

as usual, please double and triple check all the calculations, it's almost 1.30 am here and I am not the most confident number cruncher even when fully awake.

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