Use appropriate units and signficant figures.

You drive 67.0 mi 35.0º south of east and then drive 40.0 mi 20.0º west of south. What is your displacement?​

Answers

Answer 1

Answer:

D = 54.9 mi, 71.6 South of the East

Explanation:

In this exercise it is asked to find the displacement of the body, one of the easiest tasks is to dispose each displacement in a Cartesian coordinate system, let's use trigonometry

* first displacement d₁ = 67.0 mi

the angle is 35 south of east, measured from the axis x θ = -35

             cos -35 = x₁ / d₁

             sin -35 = y₁ / d₁

            x₁ = d₁ cos (-35)

            y₁ = d₁ sin (-35)

            x₁ = 67 cos 35 = 54.88 mi

            y₁ = -67 sin 35 = -38.43 mi

* second displacement d₂ = 40, mi

the angle is 20 to the west of the south, so mean from the axis x is

           θ = 180+ 20 = 200º

           cos 200 = x₂ / d₂

           sin 200 = y₂ / d₂

           x₂ = d₂ cos 200

           y₂ = d₂ sin 200

           x₂ = 40.0 cos 200 = -37.59 mi

           y₂ = 40.0 sin 200 = -13.68 mi

now we can find the displacement in each exercise

            X_total = x₁ + x₂

            X_total = 54.88 -37.59

            X_total = 17.29 mi

            Y_total = y₁ + y₂

            Y_total = -38.43 -13.68

             Y_total = - 52.11 mi

Let's use the Pythagorean theorem to find the displacement

             D = [tex]\sqrt{x_{total}^2 + y_{total}^2}[/tex]

             D = [tex]\sqrt { 17.29^2 + 52.11^2}[/tex]

             D = 54.9 mi

to find the angle let's use trigonometry

             tan θ = [tex]\frac{y_{total} }{x_{total} }[/tex]

             θ = tan⁺¹ \frac{y_{total} }{x_{total} }

             θ = tan⁻¹ (-52.11 / 17.29)

             θ = -71.6º

the negative sign indicates that it is measured clockwise from the x-axis.

In cardinal coordinates it is 71.6 South of the East


Related Questions

The charges of two particles are as follows: Q1=2 x 10 -8 C and Q2 = 3 x 10 -7 C. Find the magnitude of the force between these charges if Q1 is located at (2, 5, 1) and Q2 is located at (3, 2, 3).

Answers

Answer:

F = 3.86 x 10⁻⁶ N

Explanation:

First, we will find the distance between the two particles:

[tex]r = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2}\\[/tex]

where,

r = distance between the particles = ?

(x₁, y₁, z₁) = (2, 5, 1)

(x₂, y₂, z₂) = (3, 2, 3)

Therefore,

[tex]r = \sqrt{(3-2)^2+(2-5)^2+(3-1)^2}\\r = 3.741\ m\\[/tex]

Now, we will calculate the magnitude of the force between the charges by using Coulomb's Law:

[tex]F = \frac{kq_{1}q_{2}}{r^2}\\[/tex]

where,

F = magnitude of force = ?

k = Coulomb's Constant = 9 x 10⁹ Nm²/C²

q₁ = magnitude of first charge = 2 x 10⁻⁸ C

q₂ = magnitude of second charge = 3 x 10⁻⁷ C

r = distance between the charges = 3.741 m

Therefore,

[tex]F = \frac{(9\ x\ 10^9\ Nm^2/C^2)(2\ x\ 10^{-8}\ C)(3\ x\ 10^{-7}\ C)}{(3.741\ m)^2}\\[/tex]

F = 3.86 x 10⁻⁶ N

Geologists know the past temperature of the planet based on rock and fossil evidence. Why do you think it is difficult to determine what has caused climate change in the distant past?

Answers

Answer:

I think it is difficult to determine what has caused climate change in the distant past because it must have been a long time ago so geologists can't carry out different experiments and figure out what gases the planet had conjured, so geologists can only make predictions based off the evidence they currently have from what the planet looked like before. The planet must have changed over the years, therefore the climate has also changed in the future, so they cannot work with how the planet looked in the past.

Why is physics used to study stars?
A. Stars are interesting.
O B. Stars are circular.
O C. Stars are useful.
O D. Stars are made of matter.

Answers

Answer:

stars are made of matter

__________ is the
process by which populations change over
time.

Answers

Evolution, is a process that results in changes in the genetic material of a population over time.

A car goes East from 2 m/s to 16m/s in 3.5s. What is the Car's acceleration?

Answers

A=v1+v2 / t
2+16/3.5=?

In a tropic level, energy flows from the producer to the primary consumer and to a secondary consumer. True False

Answers

Answer:

True

Explanation:

This is true because in an energy flow, the primary producers such as plants produce their own foods by using energy from the sun. These primary producers are consumed by primary consumers such as rabbits for food, while secondary consumers such as snakes would consume the primary consumers.

By so doing, energy flows from one trophic level to the other.

If you add more hot water than cold water, will the temperature of the cold water change more?

Answers

Answer:

Yes because of the temputer

Explanation:

yes cause of the tempture

Explain why there is a voltage between the two terminals of the secondary coil

Answers

Answer:

The coils are not electrically connected. ... the primary coil current produces a magnetic field, which changes as the current changes. the iron core increases the strength of the magnetic field. the changing magnetic field induces a changing potential difference (voltage) in the secondary coil.

There is a voltage between the two terminals of the secondary coil because the magnetic field/magnetic flux is strengthened by the iron core. The secondary coil's potential difference (voltage) changes as the magnetic field changes. Energy is transferred by law of conversation .

What is magnetic flux?

Magnetic flux is the number of magnetic field lines passing through a closed surface.

What is electromagnetic induction?

There is a change in magnetic flux associated with a coil it gives rise to an induced current and hence an induced EMF in the coil. This phenomenon is called electromagnetic induction.

What is law of conservation of energy?

Law of conservation of energy states that energy can neither be created nor be destroyed . It can only be converted from one form to another form.

To know more about electromagnetic induction here

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What could you have done to reduce those errors?

Answers

Wheres the picture, and this doesn’t make sense.

When heat is added to ice, the first change it goes through will be which of the following?

It will begin to boil.

It will melt into a liquid.

It will turn into steam.

It will become a vapor.

Answers

Answer:

it will begin to melt into a liquid

Explanation:the ice will melt first before turning into a liquid.

Why is this statement false?
As the temperature of water is decreased from 4C to 0C contraction occurs.

Answers

The statement is false because as the temperature of water is decreased from 4C to 0C, expansion occurs.

You should understand that this is very weird behavior for any compound ... within a small temperature range, the stuff actually gets bigger as it gets colder.  That's why cubes float in your sody, and bergs float in the ocean.

Water is one of only two known substances that do this.  And if water didn't do it, then life on Earth would not be possible.  

Hmmm....

There is not contraction, Instead expansion occurs .

We know density of water is temperature dependant .

at 4°C water has max density so least volume as density is indirectly proportional to volume.

at 0°C density decreases so volume increases

what is the equation for net force

Answers

Answer:

Is to add all forces, for example either the gf = gravitational force

Ff= force fiction

Fn= normal force

Thus, fg + ff + fn = y will give you results

Well then the forces you use in your exercises or questions.

The equation for net force is: ΣF = ma

or, ΣF = Δp/Δt.

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

A spring balance can be used to calculate the Force. Newton is the SI unit of force.

Hence, net force applied on the object = mass × acceleration

ΣF = ma

It can be written in another from as:

net force applied on the object = change in momentum ÷ time interval

ΣF = Δp/Δt

So, the equation for net force is: ΣF = ma

or, ΣF = Δp/Δt.

Learn more about force here:

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an archer shot a 0.06 kg arrow at a target. the arrow accelerated at 5,000 m/s^2 as it left the bow.

What is the force of the arrow?

Answers

Answer:

The force of the arrow was 300N.

Explanation:

A slide projector has a magnification of 50. How wide will the projected image be if the slide is 2.8 cm wide?

Answers

Answer:

hi = 12mm or 1.2cm

Explanation:

XOXO

Kit ^w^

A slide projector has a magnification of 50. 12mm or 1.2cm.

What is Magnification?

Bringing an object as close to the eye as feasible when wishing to observe an object's details is instinctual. The angle that an object subtends at the eye increases with proximity to the eye, making it appear larger.

However, if an item is too near, the eye will no longer be able to generate a distinct image. The creation of a "virtual image" that may be comfortably observed is made possible by the use of a magnifying lens between the observer and the object.

The magnifier should be positioned exactly in front of the eye to provide the clearest image possible. Once a clear image of the thing is present, the object of interest is brought closer to the eye.

Therefore, A slide projector has a magnification of 50. 12mm or 1.2cm.

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When electromagnetic (EM) radiation is explained using the particle model, which particle-like behavior could be described?
a. EM radiation has a wavelength.
b. EM radiation has a frequency.
c. EM radiation can exhibit interference patterns.
d. EM radiation can move through space without a medium.

Answers

Answer:

EM radiation has a wavelength.

Explanation:

When electromagnetic (EM) radiation is explained using the particle model, the EM radiation has a wavelength.

According to De Broglie, all matter has an associated wavelength which is better known as the De Broglie wavelength.

This wavelength is given by; given by λ=h/p

Where;

p = mv

h = Plank's constant

m= mass of the body

v = velocity of the body

p = momentum of the body

Electromagnetic energy travels in waves and spans a broad spectrum from very long radio waves to very short gamma rays.Electromagnetic radiation has a wavelength.

What is electromagnetic waves?

Electromagnetic energy travels in waves and spans a broad spectrum from very long radio waves to very short gamma rays

When electromagnetic (EM) radiation is explained using the particle model, the EM radiation has a wavelength.

According to De Broglie, all matter has an associated wavelength which is better known as the De Broglie wavelength.

This wavelength is given by; given by

[tex]\lambda=\dfrac{h}{p}[/tex]  

Where;

p = mv

h = Plank's constant

m= mass of the body

v = velocity of the body

p = momentum of the body

Hence Electromagnetic energy travels in waves and spans a broad spectrum from very long radio waves to very short gamma rays.Electromagnetic radiation has a wavelength.

To know more about electromagnetic waves follow

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This problem has been solved! See the answer A 21.5 kg person climbs up a uniform 85 N ladder. The upper end of the ladder rests on a frictionless wall. The bottom of the ladder rests on a floor with a rough surface. The angle between the horizontal and the ladder is 59 ◦. The person can climb 78 % up the ladder before the base of the ladder slips on the floor. What is the coefficient of static friction µs between the base of the ladder and the floor? The acceleration of gravity is 9.8m/s 2 .

Answers

Answer:

 μ = 0.179

Explanation:

For this exercise we use the rotational equilibrium condition, where we set a reference system at the top of the ladder where it is in contact with the parent, we will assume the counterclockwise rotations as positive

         ∑ τ = 0

         W_stairs x/2 + W_man x’+ fr y - N x = 0

          fr y = -W_stairs x/2 - W_man x’ + N x

let's use trigonometry for distances

* the man up the ladder 78%

            l ’= 0.78 L

            cos 59 = x ’/ l’

            x’= 0.78 L cos 59

* the horizontal distance

           cos 59 = x / L

            x = L cos 59

* vertical distance

            sin 59 = Y / L

            y = L sin 59

we substitute

           fr L sin 59 = -W_stairs Lcos59 / 2 - W_man 0.78 L cos59 + N L cos59

           fr sin 59 = - ½ W_stairs cos 59 - 0.78 W_man cos 59 + N cos 59

           fr = ctan 59  (N - ½ W_stairs - 0.78 W_man)     (1)

Let's write the translational equilibrium equations

Y axis  

           N -W_stairs - W_man = 0

           N = W_stairs + W_man

           N = 85 + 21.5 9.8

           N = 295.7 N

we substitute in 1

           fr = ctg 59 (295.7 - ½ 85 - 0.78 21.5 9.8)

           fr = 0.6 (295.7 - 42.5 - 164.346)

           fr = 52.89 N

the expression for the friction force is

            fr = μ N

            μ = fr / N

             μ = 52.89 / 295.7  

             μ = 0.179

Convection currents will transfer heat throughout a gas until what condition arises?

A.
The gas condenses and forms a liquid.

B.
The gas particles stop moving entirely.

C.
The gas has the same temperature throughout.

D.
The gas has no thermal energy in it.

Answers

Answer:

C

Explanation:

pls mark brainlest ty

have a good day

The gas has the same temperature throughout. (C)

What is the starting and final form of energy for someone playing the piano

Answers

kinetic and potential. hope this helped!
the person playing the piano uses his or her fingers to strike the keys. The movement of the fingers is itself an example of kinetic energy, which is then transferred through the piano until the hammer strikes a string.

what is vector product B×A of two vectors A=7i+4j-8k and B=3i-3j+5k​

Answers

Answer:

[tex]4i+59j+33k[/tex]

Explanation:

Given that,

Vector A = 7i+4j-8k

vector B = 3i-3j+5k​

We need to find B×A. It can be calculated as follows :

[tex]B\times A=(3i-3j+5k)\times (7i+4j-8k)\\\\=i (24 - 20) - j (-24 - 35) + k (12 + 21) \\\\=4i+59j+33k[/tex]

So, the value of vector product is [tex]4i+59j+33k[/tex].

A 0.035 bullet strikes a 5kg wooden block that is stationary and gets stuck inside the block. The block and bullet move together at 8.6 m/s. What is the initial velocity of the bullet?

Answers

Answer:

1240 m/s

Explanation:

[Do you mean 0.035 kg bullet?]

Since the momentum of the system is conserved,

Let u m/s be the initial velocity of the bullet

0.035u = 8.6(5+0.035)

u ~= 1237.1714 m/s

u = 1240 m/s (3 sig. fig.)

is it true that the radiation that transfer thermal energy is a type of electromagnetic radiation​

Answers

Answer:

Since heat is carried by electromagnetic waves, it does not need a physical medium to transfer it. Instead it radiates through space - this is how the Earth is heated by the Sun despite space being a vacuum.

Explanation:

on
Draw
3. The weight of a body varies from location to location. Where would the weight of the
body be least
On the moon
At sea level on earth
On top of Mount Everest
In space
4. We meet many different types of force every day. Some of these are shown in the list
below. However, one of these is NOT a force. Which one is it?
A
Speed
B
Push
C
Pull
Friction​

Answers

Answer:

it's C a pull friction

Explanation:

because it's all said in the explained

PLEASE HELP!!!!!!! A student is trying to demonstrate static electricity, so they rub two identical balloons with a neutral rabbit fur to give them a charge. How
do these three objects now behave when brought near to each other?
A. They all attract each other.
B. The balloons repel each other but attract the rabbit fur.
O C. They all repel each other.
O D. The balloons attract each other but repel the rabbit fur.

Answers

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

X=Y=MC scourer that would be the answer for you mam or sir

Answers

Me das mas información?

Answer:

jello

Explanation:

it jiggles

If a special type of ice has a specific heat capacity of 2060 J/kg K. How
much heat must be absorbed by 2.6 kg of ice at -27.00 C to raise it up to
0.00 C, before any melting takes place?

A. 140,000 J
B. 290,000 J
C. 56,000 J
D. None of the above

Answers

Answer:

Q = 144612 Joules.

Explanation:

Given the following data;

Mass = 2.6 kg

Initial temperature = -27°C to Kelvin = 273 + (-27) = 246K

Final temperature = 0°C to Kelvin = 273K

Specific heat capacity = 2060 J/kgK.

To find the quantity of heat absorbed;

Heat capacity is given by the formula;

[tex] Q = mcdt[/tex]

Where;

Q represents the heat capacity or quantity of heat.

m represents the mass of an object.

c represents the specific heat capacity of water.

dt represents the change in temperature.

dt = T2 - T1

dt = 273 - 246

dt = 27 K

Substituting the values into the equation, we have;

[tex] Q = 2.6*2060*27[/tex]

Q = 144612 Joules.

is doc mcstuffins the best

Answers

pretty cool not gonna lie

Escriba un texto sobre el significado que ha tenido para la humanidad la utilización de la electricidad

Answers

Explanation:

La electricidad fue uno de los mayores inventos tecnológicos y científicos del mundo que permitió una gran evolución de la sociedad.

Es a través de la electricidad que podemos realizar tareas que parecen tan habituales en la actualidad, como usar luz eléctrica, usar internet, conservar alimentos, tomar baños calientes, y otras tareas que forman parte de la rutina diaria de miles de personas alrededor del mundo. mundo.

Por tanto, es importante observar en un contexto general cómo la electricidad ha traído beneficios a la humanidad, como la conservación de los alimentos por ejemplo, que ha facilitado la vida cotidiana.

En el entorno empresarial, la electricidad posibilitó la creación de máquinas, la automatización del trabajo, lo que facilita las funciones de los empleados, aumenta la seguridad de la empresa, permite el crecimiento empresarial y la aparición de muchos productos y servicios que existen en la economía actual.

En medicina ayudó en el tratamiento de enfermedades, en la creación de medicamentos, etc.

En la sociedad, la electricidad hace posible el saneamiento, permite una mejor calidad de vida para las personas, un mayor intercambio de información y varios otros desarrollos que tienen un impacto directo en la vida de cualquier persona.

Which statements about nonrenewable resources are correct? Check all that apply.

Nonrenewable resources form rapidly.
Even though fossil fuels can still form in nature, fossil fuels are considered nonrenewable resources.
Nonrenewable resources include cotton and wool.
Nonrenewable resources are in limited supply.
Once nonrenewable resources run out, they cannot be replaced.

Answers

Answer:

Nonrenewable resources are in limited supply.

Once nonrenewable resources run out, they cannot be replaced.

Even though fossil fuels can still form in nature, fossil fuels are considered nonrenewable resources.

Answer:

Even though fossil fuels can still form in nature, fossil fuels are considered nonrenewable resources.     Nonrenewable resources are in limited supply.        Once nonrenewable resources run out, they cannot be replaced.

Explanation:

Can someone please help me with science

Answers

Answer:

Gravity as well as electrostatic and magnetic attraction and repulsion provide real life examples of forces being exerted by one object on another without them being in contact with each other.

Explanation:

Hope that helps!:)

please help me out on this...




Only dogs
Only reptiles
Both cats and dogs
Both amphibians and reptiles

Answers

ues guys please help him
both amphibians and reptiles!
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