A dog walks 8.0 meters due north and then 6.0 meters due east. Determine the magnitude of the dog's total displacement to the nearest tenths

Answers

Answer 1

Answer:

the magnitude of the dog's total displacement to the nearest tenths = 53.12°

Explanation:

Given that:

a dog walks 8.0m due to the north and 6.0 m due east.

We can determine the magnitude of the dog's total displacement by using the Pythagoras theorem.

Consider the north direction be the opposite and the east direction to be the adjacent, therefore the hypotenuse will be the dog's total displacement.

So, suppose hypotenuse is represented by a

the opposite represented by b, and the adjacent represented by c

Then;

a² = b² + c²

a² = 8²  +  6²

a² = 64 + 46

a² = 100

a =[tex]\sqrt{100[/tex]

a = 10.0 m

However, the magnitude of the dog's total displacement is calculated by taking the tangent of the system.

tan θ = opposite / adjacent

tan θ = b/c

tan θ = 8/6

tan θ = 4/3

tan θ = 1.333

θ = tan⁻¹ (1.333)

θ = 53.12

the magnitude of the dog's total displacement to the nearest tenths = 53.12°


Related Questions

Name three properties that can be observed in a substance.​

Answers

Color, Opacity, Hardness

The three properties that can be observed in a substance will be density, physical state, and color.

What is the substance?

A kind of matter with predictable chemical composition and physical characteristics is referred to as a chemical substance. According to certain texts, a chemical compound cannot be physically divided into its component parts without rupturing chemical bonds.

A substance's physical property is a quality that can be seen or quantified without affecting the substance's identity. Color, density, hardness, and boiling and melting points are examples of physical qualities. The capacity of a material to go through a certain chemical transition is described by its chemical property.

The three properties that can be observed in a substance will be density, physical state, and color.

The three characteristics of a substance that can be seen are its density, physical condition, and color.

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Match the object to the type of motion it's displaying. which letter goes with which number?

A. linear motion
1. the propeller of an aircraft in midair
2.a car driving up a winding mountain road
B. rotational motion
C. curvilinear motion
3. music being played on a stringed instrument, such as a guitar
4.runners sprinting across a straight track
D. vibrational motion.​

Answers

Hello There!!

I think the best answer choice is:

A. [tex]Linear[/tex] [tex]motion[/tex]

B. [tex]Rotational[/tex] [tex]motion[/tex]

D. [tex]Vibrational[/tex] [tex]motion[/tex]

4. [tex]Runners[/tex] [tex]sprinting[/tex] [tex]across[/tex] [tex]a[/tex] [tex]straight[/tex] [tex]track[/tex]

C. [tex]Curvilinear[/tex] [tex]motion[/tex]

3. [tex]Music[/tex] [tex]being\\\\\\[/tex] [tex]played[/tex] [tex]on[/tex] [tex]a[/tex] [tex]stringed[/tex] [tex]instrument,[/tex] [tex]such[/tex] [tex]as[/tex] [tex]a[/tex] [tex]guitar[/tex]

2. [tex]A[/tex] [tex]car[/tex] [tex]driving[/tex] [tex]up[/tex] [tex]a[/tex] [tex]winding[/tex] [tex]mountain[/tex] [tex]road[/tex]

1. [tex]The[/tex] [tex]propeller[/tex] [tex]of[/tex] [tex]an[/tex] [tex]aircraft[/tex] [tex]in[/tex] [tex]midair[/tex]

I'm not sure this is 100% right....

P.S Tell me if this is wrong....

[tex]Hope This Helps[/tex] [tex]Sangwoo!![/tex]

#[tex]Be[/tex] [tex]Bold[/tex]

# [tex]Always[/tex] [tex]Brainly[/tex]

A.linear motion is  runners sprinting across a straight track

B. rotational motion is the propeller of an aircraft in midair

C. curvilinear motion is a car driving up a winding mountain road

D.vibrational motion music being played on a stringed instrument, such as a guitar

What is a uniform circular motion?

It is defined as motion when the object is moving in a circle with a constant speed and its velocity is changing with every moment because of the change of direction but the speed of the object is constant in a uniform circular motion

Hence,  runners sprinting across a straight track is a type of linear motion, the propeller of an aircraft in midair is performing the rotational motion, a car driving up a winding mountain road is a curvilinear motion, music being played on a stringed instrument, such as a guitar is a type of vibrational motion

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what is the momentum of an animal with a mass of 72kg who is moving with a velocity of 2.2 m/s

Answers

Answer:

The answer is

158.4 kgm/s

Explanation:

The momentum of an object when given it's mass and velocity can be found by using the formula

momentum = velocity × mass

From the question

velocity = 2.2 m/s

mass = 72 kg

The momentum is

momentum = 2.2 × 72

We have the final answer as

158.4 kgm/s

Hope this helps you

the unit of force, Newton is a derived unit. (give reasons) ​

Answers

Answer:

[tex] \boxed{ \sf{see \: below}}[/tex]

Explanation

The unit of force, Newton is a derived unit because it depends on three fundamental units. i.e kilogram , meter and second.

Hope I helped!

Best regards! :D

If the current delivered in a battery is 1.2 A and the power required for the light is 0.2W, How many volts this power need to be

Answers

23

eat it or not eat it

If you want to know your speed going from point A to point B, what
information do you need to know?*

Answers

Answer:

the distance between point a and b and the time it takes to get from a to b.

Explanation:

d/t =v

You accidentally throw your car keys horizontally at 8.0 m/s from a cliff. If yours keys land 28 m from the base of the cliff, how high was the cliff? Question 10 options: 17.15 m 60 m 45 m 28 m

Answers

Answer:

[tex]45m[/tex]

Explanation:

Let [tex]V_0[/tex] be the horizontal speed of the keys and D be the horizontal distance covered by the keys.

[tex]V_0= 8.0 \frac ms[/tex]

[tex]D= 28 m[/tex]

The initial velocity in the vertical direction is [tex]0[/tex].

Let [tex]g[/tex] be the acceleration due to gravity, which always acts vertically downwards, so, it will not change the horizontal direction of the speed, i.e. [tex]V_0[/tex] will remain constant throughout the projectile motion.

Let [tex]t[/tex] be the total time of flight in seconds. So,

[tex]D= V_0t[/tex]

[tex]\Rightarrow 28=8t[/tex]

[tex]\Rightarrow t=3 s \; \cdots (i)[/tex]

Let [tex]H[/tex] be the hight of the cliff.

Now, from the equation of motion

[tex]s=ut+\frac 1 2 at^2\;\cdots(ii)[/tex]

Where is the displacement is the direction of force, is the initial velocity in the direction of force,   is the constant acceleration due to force and is the time of flight.

Here, , and  (negative sign is for taking the sigh convention positive in the direction as shown in the figure.)

From equation (ii)

[tex]-H=0\times t + \frac 1 2 (-g)t^2[/tex]

[tex]\Rightarrow H= \frac 1 2 gt^2[/tex]

Take [tex]g= 10 \frac m{s^2}[/tex] and put the value of [tex]t[/tex] from equation (i), we have

[tex]H=\frac 1 2 \times 10\times 3^2[/tex]

[tex]\Rightarrow H= 45 m[/tex].

Hence, the height of the cliff was [tex]45 m[/tex].

Question 2 Which of the following is NOT an example of a pure substance?

Answers

Answer: Image result for Which of the following is NOT an example of a pure substance? Examples of materials that are not pure substances.    

include gravelImage result for Which of the following is NOT an example of a pure substance?

Heterogeneous mixtures are not pure substances., your computer, a mixture of salt and sugar, and a tree.

Igneous rocks that form under conditions of fast cooling are said to be

Answers

The answer is: extrusive

How many minutes in a century?

Answers

Answer:

52,596,000

Explanation:

About equalivent to 52.6 million

what are groups of periodic table

Answers

Explanation:

there are 8 groups of the periodic table

group number one is of the alkali metals

group number two use of the alkaline Earth metals

group number three is known as group (III)

group number for is known as group IV

group number V is known as group V group number six is known as group VI

group number seven is known as halogens

and group number eight is of the noble gases

the periodic table does not have 18 groups as the elements between group III and group IV all known as the transition metals.

Why is it important to describe motion in universal terms?

Answers

Answer:

Motion requires force to cause that change. The time you take to travel the distance depends upon speed; the distance travelled is measured as the length of a line between the start and end of a motion. It is an important aspect in physics. In our lives motion is important and impacts so many things that we do.

Explanation:

The motion of every object is relative, thus it is important to discuss this motion in universal terms which serves as a reference point.

The motion of an object occurs when there is change in the position of the object with time and the object moves in the direction of the applied force. This motion is influenced by the net force acting on the object.

For example:

The dimension of speed of object in motion is measured with two fundamental quantities (length and time);

speed = LT⁻¹

The motion of every object is relative, thus it is important to discuss this motion in universal terms which serves as a reference point.

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write any five uses of uv rays​

Answers

-tanning
-disinfection
-indoor gardening
-air cleaning
-curing inks and resins

Which statement describes a socialist government?

Answers

Answer:

Socialism is a political, social, economic philospohy. Socialist governtment is a form of governtment in which the means of production are owned by the government of the country.

Explanation:

(i thought you could find this in google)

Answer:

Socialism is a political, social, and economic philosophy encompassing a range of economic and social systems characterized by social ownership of the means of production. ... Social ownership can be public, collective, cooperative, or of equity. Socialism is an economic and political system. It is an economic theory of social organization. It states that the means of making, moving, and trading wealth should be owned or controlled by the workers. This means the money made belongs to the workers who make the products, instead of groups of private owners.Socialist government is a form of government in which the means of production are owned by the government of the country. Social systems in this form of government are the ones are divided into the market and the non market forms. The means of transportation are controlled by the government here.

Calculate the average force that must be exerted on a 0.145 kg baseball in order to give it an acceleration of 130 m/s^2. (round to the nearest whole number)

Answers

Answer:

18.9 N or 19 N rounded

Explanation:

m = 0.145 kg

a = 130 m/s^2

F = ma = (0.145 kg)(130 m/s^2) = 18.9 N

Magnitude of the average force

F = 18. 9 N

There are three laws of motion that are  given by  Newton in order to study the Force and Inertia on the objects in motion or rest.

Newton's First Law defines Inertia

The second law gives the definition of Force

Third law states about action reaction pairs on the objects interacting with each other.

According to Newton' s second law of motion we can write equation (1)

[tex]\rm F = ma.....(1) \\\rm Where\; F = Net\; unbalanced\; external\; force\; acting\; on \; the \; system \\\\a = acceleration \; of \; center\; of\; mass\\[/tex]

Now according to the question

we can write

Mass of the baseball = 0.145 kg

Acceleration of the baseball = 130 [tex]m/s^2[/tex]

Magnitude of the average force can be find out by putting in equation (1)

F = ( 0.145 ) ( 130) = 18.85 N [tex]\approx[/tex] 18. 9 N

For more information please refer to  the link below

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A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 40.0 min at 50.0 km/h, 8.0 min at 70.0 km/h, and 35.0 min at 35.0 km/h and spends 40.0 min eating lunch and buying gas. Determine the average sped for the trip. Determine the difference between the intial citties along the route.

Answers

Answer:

Average speed = 40.50 km/h (Approx)

Explanation:

Distance = Time × Speed

Total distance = (40/60) 50 + (8/60) 70 + (35/60) 35

Total distance = 33.33 km + 9.33 km + 20.17 km

Total distance = 62.80 km

Average speed = Total distance / Total time taken

Average speed = 62.80 / [(40+8+35+40)/60]

Average speed = 62.80 / 1.55

Average speed = 40.50 km/h (Approx)

A rock is thrown straight upward with an initial velocity of 20 m/s where the downward acceleration due to gravity is -10 m/s^2. How long is the ball in the air before it returns to the thrower's hand?

Answers

Answer:

4 seconds

Explanation:

Given:

Δy = 0 m

v₀ = 20 m/s

a = -10 m/s²

Find: t

Δy = v₀ t + ½ at²

0 m = (20 m/s) t + ½ (-10 m/s²) t²

0 = 20t − 5t²

0 = 5t (4 − t)

t = 4

John has decided he needs to work harder on his Social Studies project. Then, his teacher says if he gets a good grade in Social Studies, he may be eligible for a special scholarship for college. What type of motivation is present here?
a.
Intrinsic
c.
Extrinsic to intrinsic
b.
Extrinsic
d.
Intrinsic to extrinsic



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer: Extrinsic to intrinsic

Explanation:

The type of motivation is present here is d. Intrinsic to extrinsic

The following information should be considered:

Intrinsic motivation comprise of performing a task since it's personally rewarding to you. While on the other hand, Extrinsic motivation comprise of finishing a task since of outside causes like avoiding punishment or collecting a reward.

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PLZZ ANSWER THE QUESTION ​

Answers

Answer:

a

Explanation:

difference between weightlessness in space and weightlessness in earth​

Answers

In space we feel weightlessness because the earth's gravity has less effect on us. The Earth's gravitational attraction at those altitudes is only about 11% less than it is at the Earth's surface. If you had a ladder that could reach as high as the shuttle's orbit, your weight would be 11% less at the top.

Help ASAP plsssss:///

Answers

Answer:

c

Explanation:

A 1-kg mass is dropped from a third floor window. The acceleration of the mass is found to be 8 m/s2. What is the average force of air resistance? A) 1.8 N B) 7 N C) 8 N D) 9.8 N

Answers

Summary:
m=1kg
a=8 m/s^2
g= 9,8 m/s^2
F(ar)=?


I hope to help you

Could I get some help with this

Answers

please give me brainlest!!

the answer is A.

Maria walks 20 ft north, 35 ft east, and 20 ft south to get to the pool. Find her distance and displacement.

Answers

Answer: distance = 75ft

displacement = 35ft east

The required displacement of maria to get to the pool is 35 ft and the distance is 75 ft.

What are distance and displacement?

To solve this problem, we first need to understand the difference between distance and displacement.

Distance is the total length traveled by an object, regardless of its starting and ending points. In this case, the distance traveled by Maria would be the sum of the distances of each segment of her journey,
Distance = 20 ft + 35 ft + 20 ft = 75 ft

Displacement, on the other hand, is the straight-line distance from the starting point to the ending point, measured in a straight line.

So let's assume the movement of maria on  coordinate where North and East are positive movements and West and south are negative now add the distances,

Displacement =20 + 35 - 20 = 35 ft

Thus, the required displacement of maria to get to the pool is 35 ft and the distance is 75 ft.

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Question 11 (3 points)
1. How many amperes does a 125 watt bulb require when operating on 12 volts?

a. 0.096 watts
b. 10.41 Watts
С. 10.41 Ampere
D. 1500 ampere

Answers

Answer:

С. 10.41 Ampere

Explanation:

Given that,

Power, P = 125 watts

Voltage, V = 12 volts

We need to find current. Power in terms of current and voltage is given by :

P = VI, I = current

[tex]I=\dfrac{P}{V}\\\\I=\dfrac{125\ W}{12\ V}\\\\I=10.41\ A[/tex]

So, the current is 10.41 A.

uses and effects of UV rays? ​

Answers

Answer:

The above pic may help you :)

HELP ME PLZ!!!! I'LL DO ABSOLUTELY ANYTHING, AND I MEAN ANYTHING!!!!!!

Answers

The amount of radiation that a human gets when traveling through space is very toxic this is something that makes it difficult for them to travel as well as the extreme temperatures.

Answer:

There are so many things that make human travel difficult.

Here are some ideas ;

1) Air and Water -Taking water and oxygen from the Earth is very expensive and very difficult. (Note that if there is lots of water, oxygen can be made from the water. Also, if there is carbon dioxide, oxygen can be made.)

2) Food - people will need to grow their own food on another planet - transportation to and from Earth is, again, too expensive. Plants need carbon dioxide and sunlight (real sunlight is best; artificial lighting will work, too.)

3) Energy - Human settlements will need to create their own energy. Energy can be created using the sun.

Note that these powers have their own advantages and disadvantages

4) Radiation - Radiation is harmful for people, plants and animals. On Earth, we are protected by a magnetic field and an atmosphere. Some planets and moons have neither; some have only one or the other. Very few have both. Some planets have very strong magnetic fields that create even more radiation. Crazy right .

5) Gravity - planets or moons with a lesser gravitational pull than the Earth will result in astronauts having smaller bone and muscle mass, which is a serious problem if they are to come back to Earth. The closer a planet's gravity is to Earth, the less of a problem this is.

6) Atmosphere - Some planets have no atmosphere while some have atmospheres that will crush people(Woah ) .It's easier to deal with low-pressure rather than high-pressure, but both are dangerous if there is an air leak.

7) Distance - the further a planet is from Earth, the harder it is to.

8) Temperature - The hotter or colder a planet is, the more energy it will take to change the temperature(and im not really sure how ).

Explanation:

please someone help me.
A car starts to move from rest after 5 seconds its velocity becomes 15m/s, find the acceleration of the car.​

Answers

Answer:

acceleration of the car is 3 m\s^2

Explanation:

from rest means the initial velocity (vi) is zero

time = 5s

final velocity (vf) = 15m\s

a = vf - vi \ t

a = (15-0) \ 5

a= 3 m\s^2

which means that the car is speeding up 3 meters every second

Answer:

3m/s

Simple

Explanation:

Solution,

U=0

Velocity=15m/s

Time=5 sec

Now,

Acceleration=V-U÷T

=15m/s-0÷5

=15m/s÷5

=3m/s

Hence, the acceleratiob of the car is 3m/s.

is 45 m/s2 a scalar or a vector quantity and how do you know?

Answers

Answer:

Explanation:

it is a vector as it has a magnitude and a direction. If it was a scalar quantity it would just have a magnitude and would be 45 m. Acceleration is an example of a vector quantity

Which source of energy would you prefer for cooking and why?

Answers

Answer:

gas

Explanation:

because It is fast and easy

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