3) An explorer walks 13 km due east, then 18 km north, and finally 3 km west.
a) What is the total distance walked?
b) What is the resulting displacement of the explorer from the starting point?

Answers

Answer 1

Answer: 34 km, 21 km  61 degrees north of east

Explanation: distance = 13 + 3 + 18 = 34

   displacement = 13 - 3 = 10

               10^2 + 18^2 = 424

              find the square root of 424 ( 20.5 rounded to 21 )

   

Answer 2

The total distance walked is 34 km and the resulting displacement is 20.6 km.

a) The total distance is gotten by summing up all the distance.

Total distance = Distance moved east + distance moved north + distance moved west

Total distance = 13 km + 18 km + 3 km = 34 km

b) The displacement is the distance from the beginning point to end point.

Displacement² = 18² + (13 - 3)² = 18² + 10²

Displacement² = 424

Displacement = 20.6 km

Therefore the total distance walked is 34 km and the resulting displacement is 20.6 km.

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Related Questions

If you walk 5 km north and then 12 km east. Your resultant displacement is____.a. magnitude: 1.1km; direction: 53.1 degrees east of north.b. magnitude: 2.00; direction: 53.1 degrees east of north.c. magnitude: 2.00; direction: 36.9 degrees east of north.d. magnitude: 1.1km; direction: 36.9 degrees east of north.

Answers

Answer:

Resultant = 13km

Direction = 67.38° East of North

Explanation:

Given the following :

5km North ; 12km East

Resultant Displacement (r) :

r² = 5² + 12²

r² = 25 + 144

r² = 169

r = √169

r = 13

Direction:

Tangent = opposite / Adjacent

Tanθ = opposite / Adjacent

Opposite = 12 ; adjacent = 5

Tanθ = (12/5)

Tanθ = 2.4

θ = tan^-1(2.4)

θ = 67.38° east of north

Help please Subject (general psychology)

Answers

Answer:

plz give the question... floor the proper answer

Explanation:

plz mark me add the brainliest

thank

me and follow ma

Question: A) A car is driving too fast on a flat non-banked curve. The car cannot stay on the road. What path will the car take as it leaves the road? See Image. (a) (b) B) The driver wants to go faster around the same curve mentioned above and not run off the road. He adds sandbags to his car to make it weigh more so that the friction force between the tires and the road will be increased. Will this work? Explain your answer.​

Answers

Explanation:

(a) The car will leave tangentially to the road, so it will take path d.

(b) Sum of forces on the car in the vertical direction:

∑F = ma

N − mg = 0

N = mg

Sum of forces on the car in the centripetal direction:

∑F = ma

Nμ = m v²/r

mgμ = m v²/r

gμ = v²/r

v = √(grμ)

The maximum velocity is independent of mass, so adding sandbags will not work.

Which kinds of objects emit visible light in the electromagnetic spectrum? A. all objects B. radioactive objects C. relatively cold objects D. relatively hot objects

Answers

Answer:

c

Explanation:

Answer:

the answer is c i just did it

Explanation:

The mere exposure effect is

Answers

DescriptionThe mere-exposure effect is a psychological phenomenon by which people tend to develop a preference for things merely because they are familiar with them.

a steel ball bearing will sink in water but a large ship floats because​

Answers

Answer:

water displacement.

the bigger the item means more water displacement meaning bouyance

A car moves from rest with an acceleration of 0.2ms
Find its velocity when it has moved a
distance of 50m
From the problem we notice that the question
does not involver. Therefore, the required equation
is)​

Answers

Explanation:

Given:

Δx = 50 m

v₀ = 0 m/s

a = 0.2 m/s²

Find: v

The problem does not involve time.  Therefore, the required equation is:

v² = v₀² + 2aΔx

Plug in values and solve:

v² = (0 m/s)² + 2 (0.2 m/s²) (50 m)

v = 4.47 m/s

The velocity of the car when it has moved a distance of 50 meters is approximately 4.47 m/s.

To find the velocity of the car when it has moved a distance of 50 meters, we can use the following equation of motion:

v² = u² + 2as

Where:

v = final velocity

u = initial velocity (which is 0 in this case as the car starts from rest)

a = acceleration

s = distance traveled

Plugging in the values into the equation:

v² = 0² + 2(0.2)(50)

v² = 0 + 20

v² = 20

Taking the square root of both sides:

v = √20

v = 4.47 m/s

Therefore, the velocity of the car when it has moved a distance of 50 meters is approximately 4.47 m/s.

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Calculate the length of segment RS with midpoint, M , if RM = 5x and MS = x + 12.

A. 3

B. 25

C. 30

D. 36

E. 15

Answers

Answer:

the full segment is:  30 units long

which coincides with answer C in your list

Explanation:

If M is the midpoint, then it divides the segment in two equal parts. Then, we can say that:

RM = MS (equality among the two parts of the divided segment)

replacing RM with "5 x" and MS with "x + 12", we get:

5 x = x + 12

solving for x:

5 x - x = 12

4 x = 12

then x = 3

With this info, we can calculate the length of each half of the segment and consequently its full length:

RM = 5 x = 5 (3) = 15

then the full segment is:  30 units long

Direction of propagation of light is:________a. in all directions irrespective of polarization b. parallel to the polarization c. perpendicular to the polarization d. not dependent on polarization

Answers

Answer:

Perpendicular to the polarization

Explanation:

In this question, we are interested in selecting the option that best complete the question.

The direction of propagation of light is perpendicular to the polarization. Polarized and unpolarized light behave in different manners.

In unpolarized light, the oscillation of the magnetic and electric occurs in all directions to the propagated light.

However, in the case of polarized light, there is a restriction of the electric field oscillation. And thus, it only oscillates in a direction which is perpendicular to the propagation light


Elmer Fudd is walking at 2.0 m/s. If he walks for 2.0 minutes, how far does he walk?
(Can someone help with the answer due in 5min)

Answers

Answer:

240 meters

Explanation:

He is walking 2 meters per second, and there are 60 seconds per minute. There are 120 seconds in two minutes. So, 120 x 2 = 240. That's your answer!


Which phrase describes a scientific law?
A. A statement that matter cannot be created or destroyed
B. A claim that experiments cannot verify whether matter has been
destroyed
O C. An explanation for why matter cannot be created or destroyed
D. A prediction of how much matter exists in the universe
SUBMIT
In

Answers

Answer:

C- An explanation for why matter cannot be created or destroyed

Explanation:

Answer: A. A statement that matter cannot be created or destroyed.

Explanation:

Apex

In which direction does centripetal force act on an object? in the opposite direction of the tangential speed of the object in the same direction of the tangential speed of the object toward the outside of the circle in which the object is moving toward the center of the circle in which the object is moving

Answers

Answer:

towards the center of the circle

(which appears to be the last option in your list of possible answers)

Explanation:

The centripetal force points always towards the center of the circle described by the object moving.

The direction of centripetal force acting on an object is always towards the center of the circle in which the object is moving.

The given problem is based on the concept and fundamentals of centripetal force. When an object is known to move around a circular path, then there is a force comes to play acting towards the centre of circular path, known as centripetal force.

In other words, the centripetal force is also known termed as the force that tends to act on a body moving in a circular path and is directed towards the centre around which the body is moving.For example - Motion of merry go round and the motion of roller skates on the rink floor are the examples of centripetal force, where the force always acts in the direction, center of the circular track.

Thus, we can conclude that the direction of centripetal force acting on an object is always toward the center of the circle in which the object is moving.

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Suppose a radio signal (light) travels from Earth and through space at a speed of 3 × 108/ (this is the speed of light in vacuum). How far (in meters) into space did the signal travel during the first 10 minutes?

Answers

Answer:

18*10^10 meters

Explanation:

V= d/t         10 mins = 600 seconds

3*10^8 = d/600s

(3*10^8)*(6*10^2) = d

d = 18*10^10 m

How many Newtons of force does it take to move a 53 kilogram object?

Answers

519.75N

explanation: good luck on whatever assignment

it is required that an object weighing 8N be moved up ward at an acceleration of 2m/s what is the upward force needed ​

Answers

Answer:

F = 1.6 N

Explanation:

Newton's Second Law of Motion states that whenever an unbalanced force is applied on a body. It produces an acceleration in the body, in its own direction. The magnitude of the force is given by the following formula:

F = ma

where,

F = Force Required to Move the Object Upward = ?

m = mass of object

a = upward acceleration = 2 m/s²

but, we know that weight of object is given as:

Weight = mg

8 N = m(9.8 m/s²)

m = 0.8 kg

using values in the equation:

F = (0.8 kg)(2 m/s²)

F = 1.6 N

What are the two main types of star clusters?

Answers

Fuzzy clustering
Model-based clustering

Answer:

Open and globular

Explanation:

How does deploying slats or slots on an airfoil affect CL max and Stall AOA?
a) Stall AOA increases, CL max increases.
b) Stall AOA decreases, CL max increases.
c) Stall AOA increases, CL max decreases.
d) Stall AOA decreases, CL max decreases.

Answers

Answer: a. Stall AOA increases, CL max increases.

Explanation:

Deploying slats or slots on an airfoil affect CL max and Stall AOA by increasing Stall AOA and also increasing CL max.

It should be noted that the coefficient of lift CL would rise through the use of slots due to increase in boundary later energy. The slots also leads to delay of stall by through increase in AOA.


65°F to degrees Celsius​

Answers

Answer:

18.3 C

Explanation:

Answer: 55/3 °C

Explanation:

Formula:

C=5/9(F-32)

Given:

F=65

Solve:

C=5/9(F-32)

C=5/9(65-32)

C=5/9(33)

C=55/3

Question 3
A box is being pulled by a rope that makes a 25 degree angle with the ground. The
pulling force is 100.0 N
along the rope. Find the horizontal and vertical components of the force vector.
A. 90.63 N, 42.26 N
B. 86.87 N, 32.17 N
C. 60.87 N, 75,63 N
D. 80.9 N, 45.5 N
What is the answer A,B,C or D?

Answers

Answer:

A

Explanation:

What is the speed of an object that travels 20 meters in 4 seconds?

Answers

Given:-

Distance covered by the particle (s) = 20 mTime taken (t) = 4 seconds

To Find: Speed of it.

We know,

v = s/t

where,

v = Speed,s = Distance &t = Time taken.

Putting the values,

v = (20 m)/(4 s)

→ v = 5 m/s (Ans.)

The speed of an object will be "5 m/s".

The given values are:

Distance,

d = 20 m

Time,

t = 4 seconds

As we know, the formula:

→ [tex]Distance (d)= Speed (v)\times Time (t)[/tex]

or,

→ [tex]Speed (v) = \frac{Distance (d)}{Time (t)}[/tex]

By putting the values, we get

→                [tex]= \frac{20}{4}[/tex]

→                [tex]= 5 \ m/s[/tex]

Thus the above answer is correct.

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The speed of x-rays is 300 000. m/s. In scientific notation, and with the correct number of significant figures, this speed is… *

Answers

Answer:

3.0 x 10 and the exponent on ten is 5.

Explanation:

You are moving the decimal point over to the left 5 times, making the exponent a positive 5 and then you would put a decimal after 3. Making it 3.0 x 10, and the exponent 5.

The speed of x-rays in scientific notation is 3.0 x 10⁶ m/s.

The given parameters;

speed of the x-ray, v = 300,000 m/s

The standard form of the given number represents the scientific notation of the number.

To represent a number in standard form, multiply the number in terms of power or exponent of 10. The value of the exponent represents the number of available zeros present.

In scientific notation the speed of the x-ray can be expressed as follows;

300,000 m/s = 3.0 x 10⁶ m/s

Thus, the speed of x-rays in scientific notation is 3.0 x 10⁶ m/s.

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An object is released from rest from a top of a building 90 meters high. Neglect air friction.
What is the volume of its acceleration?
Calculate the time it takes to reach the floor?
With what velocity does it reach the floor?
How fast is it moving when it is 50 meter above the floor?

Answers

Answer:

1. a = 9.8 m/s²

2. t = 4.28 s

3. Vf = 42 m/s

4. Vf = 28 m/s  

Explanation:

1.

Since, the body is under free fall motion. Therefore, the value of its acceleration shall be equal to the acceleration due to gravity.

a = 9.8 m/s²

2.

The time taken by the ball to reach the ground can be calculated by using second equation of motion:

h = Vi t + (1/2)gt²

where,

h = height = 90 m

Vi = initial velocity = 0 m/s

t = time taken = ?

Therefore,

90 m = (0 m/s)t + (1/2)(9.8 m/s²)t²

t = √(18.36 s²)

t = 4.28 s

3.

In order to find final velocity we use first equation of motion:

Vf = Vi + gt

Vf = 0 m/s + (9.8 m/s²)(4.28 s)

Vf = 42 m/s

4.

when the ball is at height of 50 m, it means it has covered:

h = 90 m - 50 m = 40 m

we use third equation of motion at this point:

2gh = Vf² - Vi²

(2)(9.8 m/s²)(40 m) = Vf² - (0 m/s)²

Vf = √(784 m²/s²)

Vf = 28 m/s

You stand at the top of a cliff while your friend stands on the ground below you. You drop a ball from rest and see that it takes 1.7s for the ball to hit the ground below. Your friend then picks up the ball and throws it up to you, such that it just comes to rest in your hand. What is the speed with which your friend threw the ball

Answers

Answer:

16.7m/s

Explanation:

Using v= u+ at

V = final velocity. U = initial velocity

So since the two movements are the same they will return with the same speed they went up

Then final velocity v= 0

So

0:= u +-9.8 x 1.7

U= 16.7m/s

Calculate the velocity of the bicyclist between 0 and 3 seconds.

Answers

Answer:

is there an equasion it gives you?

Explanation:

need a little more info.

Do states give up all power to withdraw when they join a union of states, or do they still retain some control over their fate?

Answers

Yes if you’re going on the road or you something you can do to get on your way home from the airport if I

How much work must be done to stop a 1150 kg car traveling at 120 km/h?

Answers

Answer:

The work to be done is 638,761.12 J

Explanation:

Given;

mass of the car, m = 1150 kg

velocity of the car, v = 120 km/h = 33.33 m/s

Apply work energy theorem;

W = K.E

where;

W is the work done

K.E is the kinetic energy

W = ¹/₂mv²

W =  ¹/₂ (1150)(33.33)²

W = 638,761.12 J

Therefore, the work to be done is 638,761.12 J

Question
In order for work to be done, what three things are necessary

Answers

Perseverance, good mind set, and work ethic
you will need work ethic, self control, and a good mindset

A person drops two objects from the same height. One object weighs 15 N.
and the other weighs 10 N. How does the mass of the objects relate to the
force of gravity on them?
A. The 10 N object has the same mass as the 15 N object.
B. The 15 N object has twice the mass of the 10 N object.
C. The 15 N object has more mass than the 10 N object.
D. The 10 N object has more mass than the 15 N object.

Answers

Answer:

C

Explanation:

The 15N object has more mass than the 10N object.

A 15 N object has more mass than the 10 N object due to their weight differences.

What is Weight?

Weight is defined as the force exerted by the earth on an object on the surface of earth. The direction of this force is directed towards the center of earth. Mathematically -

W = mg

Where -

m is the mass of body

g is the acceleration due to gravity

Weight can also be written as -

W = ρVg     [ρ is density and V is volume]

Given is a person who dropped two objects from the same height. One object weighs 15 N and the other weighs 10 N.

We can write -

Weight of Object 1 [W1] = 15 N

Weight of Object 2 [W2] = 10N

We know that -

W = m x g

We can write it as -

m = W/g

Therefore -

Mass of Object 1 [M1] = 15/9.8 = 1.53 Kg

Mass of Object 2 [M2] = 10/9.8 = 1.02 Kg

Clearly -

M1 > M2

So, the 15 N object has more mass than the 10 N object.

Therefore, a 15 N object has more mass than the 10 N object due to their weight differences.

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blutions math practice
Maddie Hicks: Attempt 1
07.5 ml
Question 4 (1 point)
You have a stock bottle of 3mM tetrodotoxin solution, but your protocol states that
you need 6ml of 1mM tetrodotoxin (MW=319.27 g/mol). How much of your 3mM
stock solution (liquid) should you use to make the 1mM solution?

Answers

Answer:

[tex]V_1=2mL[/tex]

Explanation:

Hello,

In this case, considering this as a dilution problem, the first step here is to consider that the moles of tetrodotoxin remains the same and just the volumes and concentrations are modified from the initial stock (1) and the required dilution (2):

[tex]V_1M_1=V_2M_2[/tex]

Whereas V is referred to volume and M to molar concentration, in this case in mM. In such a way, solving the V1 as the volume of the 3-mM solution we obtain:

[tex]V_1=\frac{V_2M_2}{M_1} \\\\V_1=\frac{6mL*1mM}{3mM} \\\\V_1=2mL[/tex]

It means you need 2 mL of the 3-mM solution.

Best regards.

The mass of a string is 20 g and it has a length of 3.2 m. Assuming that the tension in the string is 2.5 N, what will be the wavelength of a travelling wave that is created by a sinusoidal excitation of this string with a frequency of 20 Hz. Provide the wavelength in units of m. Please note: You do not include the units in your answer. Just write in the number.

Answers

Answer:

The wavelength of the wave is 1 m

Explanation:

Given;

mass of the string, m = 20 g = 0.02 kg

length of the string, L = 3.2 m

tension on the string, T = 2.5 N

the frequency of the wave, f = 20 Hz

The velocity of the wave is given by;

[tex]v = \sqrt\frac{T}{\mu} {}[/tex]

where;

μ is mass per unit length = 0.02 kg / 3.2 m

μ = 6.25 x 10⁻³ kg/m

[tex]v = \sqrt{\frac{T}{\mu} } \\\\v = \sqrt{\frac{2.5}{6.25*10^{-3}} } \\\\v = 20 \ m/s[/tex]

The wavelength of the wave is given by;

λ = v / f

λ = (20 m/s )/ (20 Hz)

λ = 1 m

Therefore, the wavelength of the wave is 1 m

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Tina is saving to buy a notebook computer. She has two options. The first option is to put $300 awayinitially and save $10 every month. The second option is to put $100 away initially and save $30 everymonth. After how many months would Tina save the same amount using either option? How muchwould she save with either option?Aftermonths, Tina will save $with either option. -3.09 +x= -0.7 What is the answer? The Persian king Cyrus II kept his empire stable by:A. letting people in captured lands keep their own customs.B. attacking and destroying most of the Greek city-states.C. not letting different parts of the empire communicate with oneanotherO D. giving governors in each region their own powerful armies.You How did the coup in the rebel army affect the conflict between the Dinka and the Nuer tribes? Find the smallest square number divisible by each of these numbers 6,9,and 15 How were the settlers of the middle colonies different from the settlers in New England? Choose two players from the table. Use the average points per game data and salary data of the players you chose to determine which of your two players is paid more. Is thi fair? Use your z-score data to help your explanation. Be sure to justify your reasoning. I can not solve this problem . Help On a farm, the farmer decides to give pizza to her 12 ducks as a special treat. She orders 3 pizzas, and the total price is $25.71. What is the unit price of each pizza? $8.57 $13.71 $22.71 $77.13 Solve for x in simplest form. 9=1/4 (6x+12) Can someone help me, please and thank you? I'll give BRAINLEST to person who gets it right!!! Liliana buys some softballs at $3 each and gloves at $20 each for her PEclass. She buys twice as many balls as gloves. She spends $138 in total,which includes $8 tax: Which equation would you use to find the number ofgloves she buys?Let x represent the number of gloves she buys.A. 2 + 2x + 8 = 138B. 20 (2x) + 3 (x) + 8 = 138C. 20 (2) + 3 (2x) + 8 = 138D. 20 (x) + 3(2x) = 138 what is the answer to this question im having trouble 3 x 2 - x? Divide 3) 5,945 R?what's the remader PLS HELPP ou are walking down a straight path in a park and notice there is another person walking some distance ahead of you. The distance between the two of you remains the same, so you deduce that you are walking at the same speed of 1.05 m/s. Suddenly, you notice a wallet on the ground. You pick it up and realize it belongs to the person in front of you. To catch up, you start running at a speed of 2.75 m/s. It takes you 18.5 s to catch up and deliver the lost wallet. How far ahead of you was this person when you started running What is 8.904. x 9095.865 = For spring break, Melanie will either stay home or go to Daytona Beach. At home, Melanie pays $10 per day for food and earns $90 a day at her job. At Daytona Beach, Melanie will stay with friends and so has no lodging cost. She will pay $20 per day for food. In terms of dollars, Melanie's opportunity cost per day of going to Daytona Beach is how much Help will give the brainliest answer 40 points!!!! Read this description of the life cycle of a mushroom. 1. A mushroom begins to grow underground as a single-celled "spore. 2. The spore grows into multicellular structures called "hyphae. 3. The hyphae absorb nutrition and detect when conditions are right to sprout a mushroom above ground. 4. The sprouted mushroom then forms new spores that can enter the ground and begin the life cycle again. Which sentence about this life cycle shows that mushrooms need energy and respond to stimuli? A mushroom begins to grow underground as a single-celled spore. The spore grows into multicellular structures called hyphae. The hyphae absorb nutrition and detect when conditions are right to sprout a mushroom above ground. The sprouted mushroom then forms new spores that can enter the ground and begin the life cycle again. M is the midpoint of LN. If LM = 3x - 7, and MN = x - 3, find x