Vector V is 448 m long in a
224° direction. Vector Wis
336 m long in a 75.9°
direction.
Find the direction of their
vector sum.

Vector V Is 448 M Long In A224 Direction. Vector Wis336 M Long In A 75.9direction.Find The Direction

Answers

Answer 1

The magnitude of the vector sum of the two vectors V and W is determined as 240.84 m toward + x.

What is a vector?

A vector is a quantity or phenomena with magnitude and direction that are independent of one another. The phrase also refers to a quantity's mathematical or geometrical representation.

The following are the x and y axes for the supplied vector:

Vector V in x direction;

[tex]\rm V_x = Vcos \theta \\\\ V_x = 448cos(224^0)\\\\ Vx = -322.26[/tex]

Vector V in y direction;

[tex]\rm V_y = Vsin \theta\\\\ V_y = 448 \times sin224^0\\\\ V_y = -311.2[/tex]

Vector W in x direction;

[tex]\rm W_x = 336 \times cos(75.9^0)\\\\ W_x = 81.86[/tex]

Vector W in y direction;

[tex]\rm W_y = 336 \times sin75.9\\\\\ W_y = 325.88[/tex]

The resultant vector in the x direction is;

∑X = -322.26 + 81.86

∑X == -240.4

The resultant vector in the y direction is;

∑Y = -311.2 + 325.88

∑Y  = 14.68

The resultant vector is found as;

[tex]\rm R =\sqrt{(-240.4)^2+(14.68)^2} \\\\R = 240.84 \ m[/tex]

Hence,  the direction of their vector sum is 240.84 toward +x-axis.

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Related Questions

Which of the following is an example of in-group bias? A. Avery, who loves to go to car shows B. Shelly, who thinks her cheerleading team is better than any other school's team C. Zoe, who likes to shop more than anything else D. Matt, who loves to watch his favorite team play football

Answers

Answer:

B because since SHE is in the team she is in group and it is bias because she treats the other teams as competition. Hope this helps!

Explanation:

Each box contains information from two different ecosystems about a similar pattern of
interaction between two species that live in close association with each other.

Categorize the type of symbiotic relationships described in the boxed information.

Answers

Answer:

What is the interaction between two different species in an ecosystem called?

Interactions between different species in a community are called interspecific interactions—inter- means "between." Different types of interspecific interactions have different effects on the two participants, which may be positive (+), negative (-), or neutral (0).

Explanation:

Which diagram shows magnets aligned so they will attract each other?

Answers

The 3rd Option because they are opposite and any others would reject each other

A 20 kg bike accelerates at 10 m/s2. what was the net force

Answers

Explanation:

Fnet = m.a

= (20)(10)

= 200N

a circuit has two 11.4 volts batteries and a bulb with a resistance of 18.7 ohms calculate the current flowing through the circuit

Answers

The current flowing through the circuit would be 19.2

which of the following is a reality based condition with self-defeating patterns?

Answers

Answer:

What is a reality based condition with self-defeating patterns?

Terms in this set (35) A psychotic is reality based, yet needs psychotherapy to correct their values. A neurotic is a non-reality based person with self-defeating patterns of behavior.

Explanation:

The expression of x=4t+2t^2 Where x is distance and t=time What is displecement ?​

Answers

Answer:

x = 4 t + 2 t^2      

the displacement is x which is zero at t = 0 and then increases indefinitely as t increases indefinitely

A 12 V battery is connected to a device and 24 mA of current is measured. If the device obeys Ohm's law, how much current is present when a(n) 108 V battery is used?

Answers

Answer:

Correct answer: Ic₂ = 48 mA = 48 · 10⁻³ A

Explanation:

U₁ = 12 V DC first battery voltage

Ic₁ = 24 mA = 24 · 10⁻³ A Intensity of current with the first battery

U₂ = 24 V DC second battery voltage

Ic₂ = ? Intensity of current with the second battery

The formula that applies to a simple electric circuit under the Ohm's law is:

R = U / Ic

where R is the total resistance in the electrical circuit and it is constant.

R = U₁ / Ic₁ = U₂ / Ic₂ ⇒ U₁ / Ic₁ = U₂ / Ic₂ ⇒ Ic₂ = (U₂ · Ic₁) / U₁

Ic₂ = (24 · 24) / 12 = 48 mA

Ic₂ = 48 mA = 48 · 10⁻³ A

grujan50

Virtuoso

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A 3.0kg weight W is initially at rest on incline AB, which is raised 40° above the horizontal. The effective coefficient is
mu = 0.3 . Through frictionless pulley and strings of negligible mass, a small mass P, 400g, is at rest on a 200g weighting pan.
Draw a free body diagram representing the situation, and use it to determine the acceleration of the system. Use the value of acceleration calculated to determine the relative weight of P in pounds.

Answers

(a) The acceleration of the system is determined as 1.58 m/s².

(b) The relative weight of P is pounds is determined as 0.14 lb.

Acceleration of the system

The acceleration of the system is calculated as follows;

W - T = m₂a --- (1)

T = m₁a ----(2)

μmgsinθ - m₁a = m₂a

(0.3 x 3 x 9.8 x sin40) - (0.4 + 0.2)a = 3a

5.67 - 0.6a = 3a

5.67 = 3.6a

a = 5.67/3.6

a = 1.58 m/s²

Relative Weight of P

W = ma

W = 0.4 x 1.58

W = 0.632 N = 0.14 lb

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How does the image make the message in the "Mummy, what happens to us if the bomb drops?" poster more clear?
A. The poster shows a clear picture of a girl having a serious talk with her parents.
B. The poster shows all the supplies needed to survive in picture format.
C. The poster provides an emotional picture of a young, innocent girl with a slightly worried expression to make protective feelings.
D. The poster shows the actual bomb attack.

Answers

Answer:

C. The poster provides an emotional picture of a young, innocent girl with a slightly worried expression to make protective feelings.

Explanation:

The girl looks quite worried in the poster. Attached is the image:

5. How far can a car travel in 14 hours while going at a speed of 75 miles per hour?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

Speed of the car is 75 miles per hour and it travels for 14 hours. so the distance travelled by it in the given period of time can be calculated using this formula ~

[tex]\qquad \sf  \dashrightarrow \: d = v \sdot t[/tex]

[tex]\qquad \sf  \dashrightarrow \: d = 75 \times 14[/tex]

[tex]\qquad \sf  \dashrightarrow \: d = 1050 \: \: miles[/tex]

so, it can travel 1050 miles in 14 hours

Answer:

1050 miles

Explanation:

Simply:

d =  75 m/hr   *  14 hr   =1050 miles

 ( see how the 'hr' cancels and you are left with miles ?)

A car accelerates at a rate of 8.8m/s² with a force from the tires of 19,976N. What is the mass of the car?
A.1800kg
B.2270kg
C.1360kg
D2140kg

Answers

Answer:

B. 2270 kg

Explanation:

We know that :

Force = Mass x Acceleration

We are given :

Force = 19,976 NAcceleration = 8.8 m/s²

Finding mass

19,976 = 8.8 x massmass = 19,976/8.8mass = 2270 kg

The speed of sound in air is 340 m/s. What is the wavelength of a soundwave that has a frequency of 977Hz?

Answers

Answer:

The wavelength is =2.87m.

Explanation:

The speed of sound, the frequency and the wavelength is related by the equation

v=fλ

speed of sound is v=340ms

frequency is f=977Hz

wavelength is λ= v/f = 977/340 =2.87m

Answer:

.348 meters

Explanation:

Speed = wavelength * frequency

 340   =    wl       *  977

340 /977 = wavelength = .348 m

During a race, a sprinter accelerated 1.8 m/s 2 in 2.5 seconds.How many meters per second did the sprint increase with this amount of acceleration

Answers

During a race, a sprinter accelerated 1.8 m/s 2 in 2.5 seconds. The sprint increase with this amount of acceleration by 4.5 m/s.

What is acceleration?

Acceleration is the time rate of change of velocity.

Acceleration a = velocity v / time t

1.8 = v/2.5

v = 4.5 m/s

The sprint increase with this amount of acceleration by 4.5 m/s.

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What type of bond is most likely to form between two gold (Au) atoms?

Answers

Answer:

I believe it would be a metallic bond.

Explanation:

metallic bond is the answer :)


Explain this picture in terms of potential and kinetic energy.

PLEASE HELP ASAP!

Answers

I think is because just make sense

If the diameter of a wire is tripled and the length is doubled, the resistance would change by a factor of __?

Answers

Diameter triples.
Area becomes 9 times as great.
Resistance is reduced to 1/9 as much.

Length doubles.
Resistance is increased to 2 times as much.

Both changes.
Resistance changes by 2 • 1/9 .
Resistance becomes 2/9 as much.
That's 22.2% of the original resistance.
Resistance decreased by 77.7% .

Answer:

it’s going to be times 3

Explanation:

so the answer would be three times which means it will change by a factor of 3.


I’m sorry I wrote it wrong the first time.

Anujan and Piragavy are pulling on either side of a box with ropes. Anujan rope pulls with a force of 35 N [35° N of W], while Piragavy pulls with a force of 11 N [41° S of E]. There is a frictional force of 6 N [s] opposing the motion. Calculate the following: The Fnet and the acceleration of the object.

Answers

The net force on the block is 20.678 N. Force is defined as the product of mass and acceleration. Its unit is Newton.

What is force?

Force is defined as the push or pull applied to the body. Sometimes it is used to change the shape, size, and direction of the body.

Anujan rope pulls with a force of 35 N [35° N of W]. The force is resolved in x and y direction as;

[tex]\rm F_{1x}= 35 cos 35^0 \\\\ F_{1y}=35 sin 35^0[/tex]

Piragavy pulls with a force of 11 N [41° S of E]. The force is resolved in x and y direction as;

[tex]\rm F_{2x}= 11 cos 41^0 \\\\ F_{2y}=11 sin 41^0[/tex]

The net force on the block is;

[tex]\rm F_{net}=F_{1x}-F_{2x}\\\\\ F_{net}=35 \ cos 35^0- 11 \cos 41^0 \\\\ F_{net}=20.678 \ N[/tex]

Hence,the net force on the block is 20.678 N.

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12. Humans are considered the best endurance runners because of the body’s ideal method of cooling called _________________, which allows the body to release heat and therefore cool itself continuously.

Answers

Answer:

Sweating

Explanation:

Sweating allows the body to release heat, causing the body to cool itself.

A bug starts from point A, crawls 15cm due east, then 5cm due west, 7cm due south, 3.0cm due west and 5.0cm due north to point B. Calculate the north and east distance of point B from A​

Answers

Answer:

let i represent due East and j due north

X (displacement) = (15 - 5) i - 7 j - 3 i + 5 j = 7 i - 2 j

Total displacement = (7^2 + 2^2)^1/2 = 7.28     vector displacement

tan θ = -2 / 7 = -15.9 deg     or 15.9 deg S of E

note N distance was -2 cm

E distance was 7 cm

A magnetic field of 0.0037 T is measured at a distance of 2 cm from a long
straight current carrying wire. What is the magnitude of the current flow in the
wire?

Answers

Hi there!

We can use Ampère's Law to derive an expression for the magnetic field strength produced by an infinitely long current-carrying wire:

[tex]\oint B \cdot dl = \mu_0 I_{encl}[/tex]

B = Magnetic Field Strength (T)
dl = Differential length along path

μ₀ = Permeability of Free Space (Tm/A)

I = Enclosed current (A)

The integral is a cross product, so the cosine of the angle between the magnetic field and the path of integration is used. However, for a straight current-carrying wire, the path is ALWAYS parallel to the magnetic field, so since cos(180) = 1, we can disregard the cross product.

Additionally, the path of integration is equivalent to:

[tex]l = 2\pi r[/tex]

[tex]B \cdot l = \mu_0 I_{encl}\\\\B * 2\pi r = \mu_0 I_{encl}\\\\B = \frac{\mu_0 I_{encl}}{2\pi r }[/tex]

Rearrange to solve for enclosed current:

[tex]I_{encl} = \frac{2\pi rB}{\mu_0} = \frac{2\pi (0.02)(0.0037)}{(4\pi *10^{-7})} = \boxed{370 A}[/tex]

(100 POINTS AND BRAINLIEST)
Atoms form chemical bonds using:
a. electrons in the innermost energy level
b. electrons in the outermost energy level
c. protons and electrons

Answers

Answer:

electron in the outermost

Explanation:

These are the electrons available for bonding or transfer

  protons do are not involved in actual bonding

Answer:

b

Explanation:

Atoms form chemical bonds using electrons in the outermost energy level, otherwise known as valence electrons.

For atoms to bond, they must either gain or lose electrons.

By gaining electrons, the atom attains a negative charge.

By losing electrons, the atom attains a positive charge.

A positive charge is fixed at point (−4,−3) and a negative charge − is fixed at point (−4,0). Determine the net electric force ⃗ net acting on a positive test charge + at the origin (0,0) in terms of the given quantities and physical constants, including the permittivity of free space 0. Express the force using unit vector notation. Enter precise fractions rather than entering their approximate numerical values.

Answers

The net electric force acting on a positive test charge at the origin is determined as ¹/₉(kq₁q₂).

Net electric force on the charges

The net electric force on the charges is calculated as follows;

F = kq₁q₂/r²

where;

k is coulomb's constantq₁ and q₂ are the chargesr is the distance between the chargesDistance between the charges

[tex]|r| = \sqrt{(x_2-x_1)^2+ (y_2-y_1)^2} \\\\|r| = \sqrt{(-4--4)^2+ (0--3)^2} \\\\|r| = \sqrt{(0)^2 + (3)^2} \\\\|r| = 3 \ units[/tex]

[tex]F_{net} = \frac{kq_1q_2}{3^2} \\\\F_{net} = \frac{1}{9} (kq_1q_2) , \ N[/tex]

Thus, the net electric force acting on a positive test charge at the origin is determined as ¹/₉(kq₁q₂).

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what is the distance of a car travels is its velocity is 30 mph and its time is 2 hours ?

Answers

Answer:

distance = 60 miles

Explanation:

Which statements correctly describe the effect of distance in determining the gravitational force and the electrical
force? Check all that apply.
The gravitational force has an infinite reach.
The electrical force has an infinite reach.
The gravitational force is inversely proportional to the distance.
U The electrical force is inversely proportional to the distance.
O The gravitational force is inversely proportional to the square of the distance.
O The electrical force is inversely proportional to the square of the distance.

Answers

The statements 1,4 and 5 accurately describe the influence of distance on gravitational and electrical forces.

What is Newton's law of gravity?

Newton's law of gravity states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force.

Gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.

Decreasing the distance would increase the gravity of the planet.

The following statements accurately describe the influence of distance on gravitational and electrical forces.

1. The gravitational force has an infinite reach.

4. The gravitational force is inversely proportional to the square of the distance.

5. The electrical force is inversely proportional to the square of the distance.

Hence, options 1,4 and 5 are correct.

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Which category of mechanical waves are produced during an earthquake?

A) Gamma wave
B) Radio wave
C) Seismic wave
D) Electromagnetic wave

Answers

Answer:

The answer is C. Seismic waves.

Explanation:

Seismic waves are waves of energy that travel through Earth's layers, and are a result of earthquakes.

a simple generator has 200 loop square coil 10 cm on a side .how fast must it turn in a 0.25 T field to produce 24v peak out put​

Answers

Hi there!

Recall Faraday's Law:
[tex]\epsilon = N\frac{d\Phi_B}{dt}[/tex]

ε = Emf (V)
N = Number of loops

ΦB = Magnetic Flux (Wb)
t = time (s)

Since the magnetic field is constant, we can take this out of the time derivative:
[tex]\frac{d\Phi_B}{dt} = B * \frac{dA}{dt}[/tex]

Therefore:
[tex]\epsilon = N B \frac{dA}{dt}[/tex]

We can express 'A', the area in which the magnetic field passes as:

[tex]A = Acos(\omega t)[/tex]

Taking the time derivative:

[tex]\frac{dA}{dt} = A\omega sin(\omega t)[/tex]

ω = angular speed of coil (rad/sec)

Now, combine with the above expression:

[tex]\epsilon = NBA\omega sin(\omega t)[/tex]

The maximum output will occur when the loop's area vector is PERPENDICULAR to the field, so sin(ωt) = 1.

Therefore:
[tex]\epsilon = NBA\omega \\\\[/tex]

Rearrange to solve for ω:

[tex]\omega = \frac{\epsilon}{NBA}\\\\\omega = \frac{24}{(200 * (.10^2) * 0.25} = \boxed{48 \frac{rad}{sec}}[/tex]

Q32.4 Sometimes neon signs located near a powerful radio station are seen to glow faintly at night, even though they are not turned on. What is happening?

Answers

Neon lamps located near a powerful radio station are seen to glow faintly at night because radio waves may generate a potential difference in the neon gas.

What is a neon lamp?

A neon lamp is a lamp containing neon gas as well as other types of gases and two electrodes.

In a neon lamp, the electricity is generated by striping negative electrons from neon atoms, which ionize these atoms.

The radio waves can also ionize atoms in the neon lamp by generating a potential difference in the neon particles of the lamp, thereby glowing faintly at night.

In conclusion, neon signs located near a powerful radio station are seen to glow faintly at night because radio waves may generate a potential difference in the neon gas.

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Newtons second law in words??​

Answers

Answer:

The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object

Explanation:

it's newton's second law

Calculate the Speed for A + B

Answers

Answer:

Speed of A + B = 1 m/s

Explanation:

The speed of B = 0    because the distance does not change with time .

The speed of A =   1 m/s   ( the slope of the line)

   

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