Three vectors , , and , each have a magnitude of 52.0 m and lie in an xy plane. Their directions relative to the positive direction of the x axis are 29.0 ˚, 191 ˚, and 311 ˚, respectively. What are (a) the magnitude and (b) the angle of the vector (relative to the +x direction in the range of (-180°, 180°)), and (c) the magnitude and (d) the angle of in the range of (-180°, 180°)? What are (e) the magnitude and (f) the angle (in the range of (-180°, 180°)) of a fourth vector such that ?

Answers

Answer 1

Answer:

a)   A´= A  

b)   θ₁´ = 29º,  θ₂´ = - 169º ,  θ₃´ = -49º

Explanation:

In this exercise you are asked to give the magnitudes and angles of the vectors from another system of

reference

a) The magnitudes

The magnitude of a vector, the size of which is a scalar, this does not depend on the reference system, since it is obtained by subtracting the coordinates of the end point minus the coordinate of the origin of the vector

          A = [tex]x_{f}[/tex]- x₀

if the vectors are measured in another reference frame

         x_{f}´ = xx_{f}- U

         x₀´ = x₀ -U

where U is the distance between the two reference frames

         A´ = x_{f}´ - x₀´

we substitute

         A´ = (x_{f} - U) - (x₀-U) = x_{f} - x₀

         A´ = A

 it does not change

b) Angles

The given angles are measured from the positive part of the x axis in a counterclockwise direction, it is asked to give these angles from the x axis

     θ₁ = 29º

     does not change

     θ₁´ = 29º

    θ₂ = 191º

   we measure clockwise

     θ₂´ = θ₂ - 360

     θ₂´ = 191 - 360

     θ₂´ = - 169º

     θ₃ =311º

    we measure clockwise

     θ₃´ = 311 -360

     θ₃´ = -49º


Related Questions

A robin flies a distance of 45963 cm. How far has it flown in kilometers?

Answers

Answer:

0.46km

Explanation:

45963cm/100cm=459.63m/1000m=0.45963 or 0.46km

You throw an orange out a window at a height of 12.00 meters
upwards at an angle of 32° to the horizontal at a velocity of 3.5
m/s. What is the maximum height that the orange will reach?

Answers

Answer:

12.18

Explanation:

The maximum height that the orange will reach is 12.18 m.

What is projectile?

When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion.

You throw an orange out a window at a height of 12.00 meters upwards at an angle of 32° to the horizontal at a velocity of 3.5 m/s.

If u is the initial speed, the maximum height of the ball from the point of throwing is

H = u² sin²θ / 2g

Put the values, we get

H = 3.5² sin²32° / (2x9.81)

H = 0.1753 m

So, the maximum height calculated from the ground is

12 + 0.18 = 12.18 m

Thus ,the maximum height that the orange will reach is 12.18 m.

Learn more about projectile.

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1. If all four switches below are turned on, which light bulb will light up? (W is wood, S is silver, and Yis yarn.)
A.Circuit A
B. Circuit B
C. Circuit C
D. Circuit D

Answers

The answer to this question is d- circuit D

The correct option is option (c).

The bulb in the circuit C will glow up.

Complete circuit:

We know that for the light bulb to glow up, there must be finite current flowing in the circuit through the bulb.

But, for the current to flow in the circuit, first, the circuit must be complete.

As we can see in the figure provided in the question, circuit A is not complete, whereas circuit B, C, and D are complete. So from here we can reject the circuit A.

Now, the circuit B contains wood, circuit C contains silver and circuit D contains yarn. Only silver is an electrical conductor.

Therefore, circuit C is complete and current will flow through the bulb and it will glow up.

Learn more about electrical conductor:

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What force acts on an object in free fall?

Answers

Answer:

gravitational force. in my view but m not sure

ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements.
In working this problem, assume the value of "g" to be 9.8 m/s2 with two (2) significant digits unless otherwise stated.
Given that a lever has a mechanical advantage of 6.0 and is 100% efficient, if the resistance is to be lifted 2.0 inches, then how far must the effort move?
De = _____ in.

12
8.0
4.0
3.0
NEXT

Answers

The effort must move 8•0

a car starts from rest and accelerates to a speed of 30 m/s in a time of 3 seconds. the average acceleration of the car is

Answers

Answer:

10m/s²

Explanation:

v=u+at

30=0+a(3)

∴a=10m/s²

Answer:

10m/s^2. Just curious, what kind of car is it? Is it a lamborghini

Explanation:

A 100 Watt lightbulb uses 360000 Joules ever hour. How many lightbulbs could be powered for one hour by the energy from the Hiroshima bomb?

Answers

Answer:

200 million electric light bulbs.

Explanation:

First, we must calculate the power of the electric bulb, for this, we use the following equation that relates the energy as a function of time.

[tex]P=E/t[/tex]

where:

P = power [W] (units of watts)

E = energy = 360000 [J] (units of Joules)

t = time = 1 [h] = 3600 [s]

[tex]P = 360000/3600\\P= 100[W][/tex]

In 1 hour 1 electric lightbulb produces 100 [W], now we need to know the amount of energy produced by the Hiroshima bomb. A search made by the internet give us the data of 20 [GW] or [Gigawatts].

We need to remember that 1 Giga = 1 x10⁹

Energy Hiroshima explosion= 20*10⁹[W]

Amount = (20x10⁹)/100

Amount = 200 x10⁶ [bulbs]

That is, we would need an amount of 200 million electric light bulbs.

Select the correct answer.
Which statement about pneumatic systems is true?
A.
Pneumatic systems generate greater force than hydraulic systems.
B.
Pneumatic systems are safe to use at any level of pressure.
C.
Pneumatic systems are more expensive than hydraulic systems.
D.
Pneumatic systems are cleaner than hydraulic systems.

Answers

Statement D about pneumatic systems is true. Pneumatic systems are cleaner than hydraulic systems.

What is the pneumatic system?

Pneumatic systems are employed in a wide range of manufacturing and assembly applications. They can be used to transport objects on production lines as well as in maintenance facilities.

In hydraulic systems liquid is used as fluid for the force transmission. While in the pneumatic system air is used causing more cleanliness in the system.

The pneumatic systems are cleaner than hydraulic systems.

Hence, a statement D about pneumatic systems is true.

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. Which color has the shortest wavelength? *
2 points
a. Violet
b. Yellow
c. Blue
d. Red

Answers

Answer:

Violet

Explanation:

Occurring to Google red has the longest while violet has the shortest. Violet is the shortest at 380 nanometers.

Answer:

violet

Explanation:

Violet has the shortest light wavelength.

Please mark brainliest. Thanks!!!!

What is the formula of Acceleration for mass and time​

Answers

Answer:

a = m/t²

Explanation:

The Formula of Acceleration for mass and time

a = m/t²

where,

m = meter

t = time in (seconds)

The SI unit of acceleration is m/s² or ms⁻²

-TheUnknownScientist

A 860g block of titanium metal has a volume of 200 cm3 and the density of 4.3g/cm^3.
What would be the density of the block of titanium metal if the volume of the block was 500 cm3 and the mass of the
block was 2150g?

Answers

Answer:

4.3 g/ cm^3

Explanation:

Mass / Volume = density . so 2150/500= 4.3 g/cm^3

surface?
What is the mass of an object that experiences a gravitational force of 700 N near the Earth's surface

Answers

Answer:

70kg

Explanation:

Given parameters:

Gravitational force  = 700N

Unknown:

Mass of the person = ?

Solution:

The weight is gravitational force on the person and can be expressed as;

        W = mg

m is the mass

g is the acceleration due to gravity  = 10m/s²

 So;

        700 = m x 10

            m  = 70kg

A stone is thrown vertically upwards. It takes 2 seconds to reach it highest point the acceleration due to gravity is 10m/s. With what velocity must it be thrown ?

Answers

Answer:

The velocity the stone must be thrown with is 20 m/s.

Explanation:

Given;

time taken for the stone to reach it highest point, t = 2 s

acceleration due to gravity, g = 10 m/s²

The maximum height reached by the stone at the given time is calculated as;

[tex]h = \frac{1}{2}gt^2\\\\h = \frac{1}{2}*10*2^2\\\\h = 20 \ m[/tex]

Determine the initial of the stone;

v² = u² + 2gh

where;

v is the final velocity of the stone at maximum height = 0

u is the initial velocity of the stone = ?

0 = u² - 2(10 x 20)

0 = u² - 400

u² = 400

u = √400

u = 20 m/s

Therefore, the velocity the stone must be thrown with is 20 m/s.

PLS HELP ITS WORTH SO MANY POINTS AHH
LONGITUDINAL
SURFACE
TRANSVERSE
HEAT

Answers

Answer:

C. transverse

7. In what ways has science harmed us?​

Answers

Answer: At several different levels, scientific awareness will enhance the quality of life, from the routine functioning of our daily lives to global issues. In energy, conservation, agriculture, health, transportation, communication, security, economics, recreation, and discovery, science informs public policy and personal decisions.

Explanation:

Hope This Helps! : )

A falling object is said to reach a constant velocity (terminal velocity)..

a. when there is no gravitational force acting on it.

b. when there is no air resistance acting on it.

c. when air resistance equals the acceleration of gravity on it.

d. when it stops falling.

Answers

C

Terminal velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example). It occurs when the sum of the drag force (Fd) and the buoyancy is equal to the downward force of gravity (FG) acting on the object.(Wikipedia)




Determine the gain in the potential energy when a 8.0 kg box is raised 17.2 m.

Answers

Answer:

The answer is 1376 J

Explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 10 m/s²

From the question we have

PE = 8 × 10 × 17.2

We have the final answer as

1376 J

Hope this helps you

Explanation:

potential energy = mgh

potential energy = 8 * 10 * 17.2

potential energy = 1376 joules

What happens to the kinetic energy of a hot drink when an ice cube is put into the drink?

Answers

Answer:

Heat is kinetic energy -- the higher the temperature of a substance, the faster and farther its molecules move.

Explanation:

... Conversely, when heat transfers from your beverage to the ice and the temperature of the liquid drops, the molecules in the beverage slow down. When those molecules slow down, their kinetic energy decreases.

emotional symptoms that may occur in those with a schizophrenic Disorder generally include all of the following except ______ emotion.
A. Flat
B. Appropriate
C. No
D. Inappropriate

Answers

Answer:

B

Explanation:

edge 2020

The emotional symptoms that may occur in those with a Schizophrenic disorder generally include all of the following except appropriate emotion. Hence, option (B) is correct.

What is schizophrenic disorder?

Schizophrenia is a persistent, severe mental illness that has an impact on a person's relationships with others as well as their thinking, acting, and emotional expression. Despite not being as prevalent as other severe mental illnesses, schizophrenia can be the most persistent and incapacitating.

Schizophrenia patients frequently struggle to function well in relationships, the workplace, and academic settings. They can appear to have lost their sense of reality, feel afraid and withdraw. This chronic illness cannot be cured, but it can be managed with the right care.

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what is an isoelectronic series

Answers

Answer:

A comparison of the dimensions of atom an ions that have the same number of electron but different nuclear charges is called isoelectronic series

Answer:

A comparison of the dimensions of atoms or ions that have the same number of electrons but different nuclear charges, called an isoelectronic series, shows a clear correlation between increasing nuclear charge and decreasing size

Why does the lens need to be thicker for viewing nearby objects?

Answers

Answer: To focus on a near object – the lens becomes thicker, this allows the light rays to refract (bend) more strongly. To focus on a distant object – the lens is pulled thin, this allows the light rays to refract slightly.

Explanation:

When sand absorbs the electromagnetic waves of the Sun, it becomes warm through the process of______.

radiation


conduction


convection


evaporation

Answers

The answer is radiation I believe

radiation

  i know because i know

1. Some penguins are playing turtle hockey on the frictionless ice. Ramona the penguin hits the turtle

with a force of magnitude F, and the turtle experiences an acceleration of magnitude a (Fand a are of

unknown size). Francisco the penguin hits the same turtle with a force of magnitude three times

greater than Ramona's force (3F). What will the resulting acceleration of the turtle be? Answer in

terms of a. Support your answer with reasoning and reference to Newton's Second Law.

Answers

Answer:

a' = 3a

Explanation:

Newton's Second Law gives the magnitude of the unbalanced force applied to an object as follows:

F = ma

where,

F = Force Applied

m = Mass of Object

a = acceleration

FOR RAMONA'S PUSH:

F = F

m = m

a = a

Therefore,

F = ma  

a = F/m   ---------------- equation (1)

FOR FRANSICO'S PUSH:

F = 3F

m = m  (mass of turtle will be same)

a = a'

Therefore,

3F = ma'  

a' = 3F/m

using equation 1

a' = 3a

A diver runs horizontally off the end of a diving board with an initial speed of 1.95 m/s. If the diving board is 2.00 m above the water, what is the diver's speed just before she enters the water

Answers

Answer:

V = 6.56 m/s

Explanation:

in order to find the speed of the diver before she enters we need to find the vertical component of its final velocity by using 3rd equation of motion:

2gh = Vy² - V₀y²

where,

g = 9.8 m/s²

h = height = 2 m

Vy = Vertical Component of Final Velocity = ?

V₀y = Vertical Component of Initial Velocity = 0 m/s

Therefore,

2(9.8 m/s²)(2 m) = Vy² - (0 m/s)²

Vy = √39.2 m²/s²

Vy = 6.26 m/s

Assuming negligible air friction, the x-component of the final velocity will be the same as the initial velocity:

Vₓ = V₀ₓ = 1.95 m/s

Hence, the final velocity will be:

V = √(Vₓ² + Vy²)

V = √[(1.95 m/s)² + (6.26 m/s)²]

V = 6.56 m/s

need this answer in 30 minutes, What volume of ice is created from 200 cm3 of water?

Answers

217.4 cc it the answer

Answer:

i think about 218 cm3

Explanation:

water expands by about 9% when it freezes so 200* 1.09=218

\

Not sure if I'm correct though

Motion of a potter's wheel is an example of
motion​

Answers

Answer:

bus , running boy etc

Explanation:

moving body is called motion .

e.g. running boy , bus, birds flying etc

An elevator is being pulled up from the ground floor to the third floor by a cable. The cable is exerting 4500 newtons of force on the elevator. According to Newton's law of action-reaction, what is the gravitational force on the elevator, in newtons, if the elevator is NOT accelerating?

Answers

Answer:

The gravitational force on the elevator = 4500N

Explanation:

The given parameters are;

The force applied by the elevator, F  = 4500 N

The acceleration of the elevator = Not accelerating

From Newton's third law of motion, the action of the cable force is equal to the reaction of the gravitational force on the elevator which is the weight, W and motion of the elevator as follows;

F = W + Mass of elevator × Acceleration of elevator

∴ F = W + Mass of elevator × 0 = W

F = 4500 N = W

The net force on the elevator is F - W = 0

The gravitational force on the elevator = W = 4500N.

The gravitational force on the elevator, if the elevator is NOT accelerating is 4500 N.

Given data:

The magnitude of force on the elevator is, F = 4500 N.

From Newton's third law of motion, the action of the cable force is equal to the reaction of the gravitational force on the elevator which is the weight, W and motion of the elevator as follows,

F = W + ma

Here, a is the acceleration of the elevator. Since, the elevator is not accelerating. Then, a = 0 .

The weight of the elevator is due to the gravitational force. So, we need to obtain the weight as gravitational force.

Solving as,

[tex]F = W+ma\\\\F=W +(m \times 0)\\\\4500=W\\\\W = 4500 \;\rm N[/tex]

Thus, we can conclude that the gravitational force on the elevator, if the elevator is NOT accelerating is 4500 N.

Learn more Newton's third law here:

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15. Which element will donate electrons?
nitrogen
chlorine
aluminum
sulfur

Answers

I think its nitrogen sorry if I’m wrong

Un montañero de 65kg de masa ha ascendido a la cima del Everest, la montaña más alta del mundo de 8848m de altura sobre el nivel del mar. Calcula el trabajo que ha realizado para subir los últimos 500m

Answers

Answer:

El trabajo realizado para subir los últimos 500 metros es 318727,5 joules.

Explanation:

Por la definición de trabajo sabemos que el montañero debió contrarrestar trabajo causado por la gravedad terrestre. Si asumimos que el cambio de la altura es muy pequeño en comparación con el radio del planeta (6371 kilómetros vs. 0,5 kilómetros), entonces podemos considerar que la aceleración gravitacional es constante y la ecuación de trabajo ([tex]\Delta W[/tex]), medido en joules, que reducida a:

[tex]\Delta W = m\cdot g\cdot \Delta z[/tex] (1)

Donde:

[tex]m[/tex] - Masa del montañero, medido en kilogramos.

[tex]g[/tex] - Aceleración gravitacional, medida en metros por segundo al cuadrado.

[tex]\Delta z[/tex] - Distancia vertical de ascenso del montañero, medida en metros.

Si tenemos que [tex]m = 65\,kg[/tex], [tex]g = 9,807\,\frac{m}{s^{2}}[/tex] y [tex]\Delta z = 500\,m[/tex], entonces el trabajo realizado por el montañero para subir es:

[tex]\Delta W = (65\,kg)\cdot \left(9,807\,\frac{m}{s^{2}} \right)\cdot (500\,m)[/tex]

[tex]\Delta W = 318727,5\,J[/tex]

El trabajo realizado para subir los últimos 500 metros es 318727,5 joules.

What is an electromagnetic wave?

A. An induced electric current
B. Vibrating electric and magnetic fields
C. Oscillating electric current
D. An electromagnet

Answers

Answer: B

Explanation:

Answer is B

Electromagnetic waves or EM waves are waves that are created as a result of vibrations between an electric field and a magnetic field
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