While vacationing in the mountains you do some hiking. In the morning, your displacement is S⃗ morning= (2200 m , east) + (4000 m north) + (100 m , vertical). Continuing on your hike after lunch, your displacement is S⃗ afternoon= (1300 m , west) + (2500 m , north) - (300 m , vertical).At the end of the hike, how much higher or lower are you compared to your starting point? What is the magnitude of your net displacement for the day?

Answers

Answer 1

Answer:

a

    The hiker (you ) is  200 m below his/her(your) starting point

b

   The resultant displacement in the north east direction is

[tex]a  = 6562.0 \  m [/tex]

    The resultant displacement in vertical direction (i.e the altitude change )

  [tex]b =6503.1 \  m [/tex]

Explanation:

From the question we are told that  

  The displacement in the morning is  [tex]S_{morning} =  (2200 \m , east) + (4000\ m\ north) + (100 \ m ,\ vertical)[/tex]

   The displacement in the afternoon is  [tex]S _{afternoon}= (1300\ m ,\ west) + (2500 \ m ,\ north) - (300\ m ,\ vertical)[/tex]

Generally the direction west is negative , the direction east is positive

                 the direction south is negative , the direction north is  positive

resultant displacement  is mathematically evaluated as  

    [tex](2200 \m , east) +( - 1300\ m ,\ west) = 900 \ m \ east[/tex]

     [tex](4000\ m\ north)  + (2500 \ m ,\ north) = 6500  \ m ,\ north[/tex]

     [tex](100 \ m ,\ vertical) - (300\ m ,\ vertical) = -200 \ m[/tex]

From the above calculation we see that at the end of the hiking the hiker (you) is  200 m below his/her(your) initial position

Generally from Pythagoras theorem , the resultant displacement in the north east direction is

      [tex]a  =  \sqrt{900^2 + 6500^2}[/tex]

=>     [tex]a  = 6562.0 \  m [/tex]

Generally from Pythagoras theorem , the resultant displacement in vertical direction (i.e the altitude change )

      [tex]b = \sqrt{6500^2 +(-200)^2  }[/tex]

=>   [tex]b =6503.1 \  m [/tex]

   


Related Questions

what is the ke of a 800 tonnes train travelling at a speed of 108 km/h note 1 tonne =1000 kg

Answers

800 tonnes = 800,000 kg
108 km/h = 30 m/s

KE = (1/2)mv^2

(1/2)(800,000)(30)^2 = 360,000,000 J

Mr. Koskos brought a scooter to DHS so he could zoom around the halls while the building is empty. The scooter can accelerate at a rate of 45 m/s2. If Mr. Koskos started at 13 m/s, how much time did it take for him to shoot up to a final speed of 51 m/s?

Answers

Answer:

51m/s - 13m/s= 38m/s

38m/s÷45m/s²= 0/8

Explanation:

First we bring the difference in speeds to religion because this is the formula

Secondary speed - primary speed ÷ time

[tex] \frac{51 - 13} {45} =0.8[/tex]

Because we do not have a definite time, according to the division formula, we accelerate to get the time

A car accelerates from 15 m/s to 60 m/s in 30 seconds. What is it’s acceleration?

Answers

acceleration = change of velocity / time = 45/30 = 1.5 m/s^2

When a car accelerates from 15 m/s to 60 m/s in 30 seconds, the acceleration of the car is 1 meter/second².

What is acceleration?

Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.

Given parameters:

Initial speed: u = 15 m/s.

Final speed: v = 60 m/s.

Time interval: t = 30 seconds.

Then, according to definition of acceleration,

Acceleration of the car = change in speed/ time interval

= ( final speed - initial speed)/time interval

= ( 60 m/s - 30 m/s)/30 seconds

= 1 meter/second²

Learn more about acceleration here:

brainly.com/question/12550364

#SPJ2

Two positive .00008 C charges are set 2.0 m apart as shown.
The direction of the electric force on charge 2 is to the
Cannot be determined
Down
Left
Up
Right

Answers

The direction of the electrostatic force on the second charge (charge 2) will be away from the first charge (charge 1).

Electrostatic force between the two charges

The electrostatic force between the two charges is determined with Coulomb's law;

F = kq²/r²

F = (9 x 10⁹ x 0.0008²)/(2)²

F = 1,440 N

Direction of the electrostatic force

Since the two charges are the same (positive), the direction of the electrostatic force on the second charge (charge 2) will be away from the first charge (charge 1).

Learn more about electrostatic force here: https://brainly.com/question/17692887

A wave traveling at 280 m/s has a wavelength of 5. 2 meters. The frequency of this wave is CHOOSE ANSWER

Answers

Answer:

The frequency of the wave will be 53.85 Hz

Explanation:

to determine our answer, we can use the following formula "Speed = Wavelength x Frequency."

Speed = 280 m/s

wavelength = 5.2 meters

frequency = ?

meaning, 280 m/s=5.2 times x

divide each side by 5.2

x=700/13 or 53 11/13, or x=53.85

9
How can you prove that air has weight​

Answers

Answer:

Air does, in fact, have weight, and here's a simple way you can prove it. You'll need two identical balloons, a string, and a dowel. Attach the uninflated balloons to either end of the dowel. Attach the string to the center of the dowel and then hang it from something.

Explanation:

What do astronomers observe to find clues as to how our solar systems are formed?

Answers

Answer:

a. Patterns of motion among large bodies- Sun, planets, large moons rotate in an organized way (co-planar)—nearly circular orbits in the same direction (coplanar and prograde)

b. Two major types of planets- terrestrial vs. jovian planets

c. Asteroids and comets- locations, orbits, and compositions follow distinct patterns—Asteroids are b/t Mars and Jupiter in the asteroid belt. Also located in the Kuiper belt and Oort Cloud

d. Exceptions to the rules- Earth is inner planet with large moon, Uranus is only side tilted axis, etc.

Hope this helps

how is moment calculated in different conditions?

Answers

Answer:

The Moment of a force is a measure of its tendency to cause a body to rotate about a specific point or axis. This is different from the tendency for a body to move, or translate, in the direction of the force. In order for a moment to develop, the force must act upon the body in such a manner that the body would begin to twist. This occurs every time a force is applied so that it does not pass through the centroid of the body. A moment is due to a force not having an equal and opposite force directly along it's line of action.

Imagine two people pushing on a door at the doorknob from opposite sides. If both of them are pushing with an equal force then there is a state of equilibrium. If one of them would suddenly jump back from the door, the push of the other person would no longer have any opposition and the door would swing away. The person who was still pushing on the door created a moment.

Explanation:

hope it helps you

Which item has the least thermal energy? (APEX)
Oh. 5 kg cold water
OB. 5 kgice
O C. 5 lg boiling water
O D. 5 lg hot water just below the boiling point

Answers

Answer:

5 KG of ice would have the lowest thermal energy

Answer:

its A; 5 kg of ice

Explanation:

yurrrr

in this experiment, we use a slotted mass set (containing masses 50 g, 100 g, 200 g, 500 g) and a digital scale with a 0.1 g precision. How is the error in the biceps force determined

Answers

The error in the biceps force is determined from the ratio of the precision of the mass measurement and actual mass measurement.

Error in measurement

The error obtained in the measurement of the bicep force is determined from the precision measurement of the masses, since the product of mass and acceleration gives the force applied to the biceps.

F = ma = mg

where;

F is force on the bicepsm is mass a is accelerationg is acceleration due to gravity

Error percent = (precision/measured mass) x 100%

Error percent = (0.1/50) x 100% = 0.2%

Error percent = (0.1/100) x 100% = 0.1%

Error percent = (0.1/200) x 100% = 0.05%

Error percent = (0.1/500) x 100% = 0.02%

Thus, the error in the biceps force is determined from the ratio of the precision of the mass measurement and actual mass measurement.

Learn more about percentage error here: https://brainly.com/question/5493941

a ball rolls down a ramp,starting from rest, after 4 seconds, it’s velocity is 12m/s. what is the acceleration of the ball?

Answers

Answer:

acceleration = (change of velocity) / (time)

a = 12/ 4 = 3 m/s2

why does somthing fall faster if it is heavier

Answers

why does something fall faster if it is heavier?

First of all I would like to inform you that this statement is not true. The acceleration does not depend on the mass of the object. Heavier things have a greater gravitational force AND heavier things have a lower acceleration. It turns out that these two effects exactly cancel to make falling objects have the same acceleration regardless of mass.

Lets see

According to Newton's second law

[tex]\\ \rm\rightarrowtail F=ma[/tex]

F denotes to forcem denotes to massa denotes to acceleration

[tex]\\ \rm\rightarrowtail F\propto m[/tex]

If mass is more force of gravity is more.

[tex]\\ \rm\rightarrowtail m\propto \dfrac{1}{a}[/tex]

If mass is more acceleration is less or air resistance is less .

So heavier objects fall faster than lighter ones .

What causes competition among organisms?

Answers

Answer:

Whats up Bmw,

The organisms is caused when both the organisms or species are harmed, which is limited supply of at least one resource from food or even water used by both can be a factor.

Explanation:

Hope I helped you, and let me know if you need help on anything else :p

Answer:

Limited resources lead to competition between organisms

Explanation:

Competition is a negative interaction that occurs among organisms whenever two or more organisms require the same limited resource. All organisms require resources to grow, reproduce, and survive. However, organisms cannot acquire a resource when other organisms consume or defend that resource.

When someone throws a ball, the action force is the person pushing on the ball. What is the reaction force? the ball pushing on the person the ball pushing against air the ball being pulled toward the ground the ball being pulled away from the person

Answers

A.) The ball pushing on the person. I hope this helped

Answer:

A

Explanation:

the ball pushing on the person

The marble in the figure to the right has a mass of 3.75 g. When placed in a graduated cylinder, as pictured, the water level changes from 25 mL to 28 mL. What is the density of the marble?

Answers

Answer:

The answer is 1.25 g/mL

Explanation:

The density of a substance can be found by using the formula

[tex]density = \frac{mass}{volume} \\[/tex]

From the question

mass = 3.75 g

volume = final volume of water - initial volume of water

volume = 28 - 25 = 3 mL

We have

[tex]density = \frac{3.75}{3} \\ [/tex]

We have the final answer as

1.25 g/mL

Hope this helps you

if a particle performing shm of amplitude 10 cm at what distance from the mean position is the kinetic energy 2 time the potential energy​

Answers

The equation for kinetic energy of shm system is given by;

KE=0.5mw²(A²-x²)

where m is the mass of the object

w² is the angular frequency

A is the amplitude

and x is the positive

The equation for the potential energy is given by;

PE=0.5mw²x²

Solve KE=2PE and you get ur answer

[tex] \sf{\blue{«} \: \pink{ \large{ \underline{A\orange{N} \red{S} \green{W} \purple{E} \pink{{R}}}}}}[/tex]

Given:

Amplitude [tex]\displaystyle\sf A = 10\,\text{cm} = 0.1\,\text{m}[/tex]

We want to find [tex]\displaystyle\sf x[/tex] such that the kinetic energy [tex]\displaystyle\sf KE[/tex] is twice the potential energy [tex]\displaystyle\sf PE[/tex].

Using the formulas for kinetic energy and potential energy in SHM:

[tex]\displaystyle\sf KE = \dfrac{1}{2}mv^{2}[/tex]

[tex]\displaystyle\sf PE = \dfrac{1}{2}kx^{2}[/tex]

Since we are considering the same particle, the mass [tex]\displaystyle\sf m[/tex] cancels out. Therefore, we can compare the expressions for [tex]\displaystyle\sf KE[/tex] and [tex]\displaystyle\sf PE[/tex]:

[tex]\displaystyle\sf \dfrac{1}{2}kx^{2} = 2\left(\dfrac{1}{2}kA^{2}\right)[/tex]

Simplifying this equation:

[tex]\displaystyle\sf kx^{2} = 2kA^{2}[/tex]

Dividing both sides by [tex]\displaystyle\sf k[/tex]:

[tex]\displaystyle\sf x^{2} = 2A^{2}[/tex]

Taking the square root of both sides:

[tex]\displaystyle\sf x = \sqrt{2}A[/tex]

Substituting the value of [tex]\displaystyle\sf A[/tex]:

[tex]\displaystyle\sf x = \sqrt{2} \times 0.1\,\text{m}[/tex]

Calculating the value:

[tex]\displaystyle\sf x = 0.1414\,\text{m}[/tex]

Converting to centimeters:

[tex]\displaystyle\sf x = 0.1414 \times 100\,\text{cm}[/tex]

[tex]\displaystyle\sf x \approx 14.14\,\text{cm}[/tex]

Therefore, the distance from the mean position at which the kinetic energy is twice the potential energy is approximately [tex]\displaystyle\sf 14.14\,\text{cm}[/tex].

[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]

♥️ [tex]\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]

Please help me with this please

I’ll mark you Brainly

Answers

Number 3

Explanation:

Since the gravity is pushing down on potatoes and the bag because of weight, the force is balanced. The gravity makes the bag point downward.

10 POINTS + BRAINLIEST TO FIRST CORRECT ANSWER! :)
How does a foam-filled winter coat help keep a person warm?
It slows down the transfer of thermal energy from outside to inside the coat.
It slows down the transfer of thermal energy from inside to outside the coat.
It speeds up the transfer of thermal energy from outside to inside the coat.
It speeds up the transfer of thermal energy from inside to outside the coat.

Answers

Answer:

The 2nd option

Explanation:

It slows down the transfer of thermal energy from inside to outside the coat.

Answer: It slows down the transfer of thermal energy from inside to outside the coat.

Explanation: In other words, it insulates the heat/coldness

A student hypothesizes that the rate of a chemical reaction will increase as the concentration of the reactants increases. To test his hypothesis, the student performs an investigation. Which are the independent and the dependent variables in the investigation?

Answers

Answer:

independent variable- concentration of reactants

dependent variable- rate of reaction

Explanation:

A dependent variable is a variable that is placed under test and is measured under the process of a scientific experiment.

An independent variable is a variable that undergoes the change in the experiment performed. This change is done with respect to test the efforts that are observed on the dependent variable.

In the given hypothesis, 'concentration of reactants' is the independent variable and 'rate of reaction' is the dependent variable

describe momentum with examples

Answers

Answer:

Momentum is defined as the amount of motion occurring in something that is moving, or the force that drives something forward to keep it moving. An example of momentum is how quickly a car is moving down a hill.

The correct answer is: momentum is defined as equal to “mass x velocity” and it is measured in Kg m/s. All moving masses have momentum. The bigger the mass and the bigger the velocity the greater the momentum. A fast train has a large momentum. A falling meteorite has a huge momentum. A moving galaxy has the largest momentum I can imagine!!

How does a charge transfer from one object to another?​

Answers

Answer:

Three ways electrons can be transferred are conduction, friction, and polarization. In each case, the total charge remains the same. This is the law of conservation of charge. Conduction occurs when there is direct contact between materials that differ in their ability to give up or accept electrons.

Explanation:

Answer:

Charge transfer by Conduction

Charge transfer by conduction using a negatively charged object.

Charge transfer by conduction using a positively charged object.

Charge transfer by induction using a positively charged object.

Explanation:

how are electromagnets used in communication{plsssssssssssssssss pu!!! deadline na next week !!!!!}

Answers

Radio works by transmitting and receiving electromagnetic waves. The radio signal is an electronic current moving back and forth very quickly. A transmitter radiates this field outward via an antenna; a receiver then picks up the field and translates it to the sounds heard through the radio

Answer:

radio work by transmitting and receiving electro magnetic waves.

A ball is thrown horizontally. What is the ball's acceleration at its highest point

Answers

At the highest point of motion the ball comes to rest momentarily,but it is being pulled down due to the effect of gravity,so its net acceleration is downwards. So,just after that point,it starts falling downwards.

convert 30 C into kelivn and fahrenheit scale

Answers

I only know for kelvin
To convert to kelvin you add 273
30+273=303

I just wanna know if I’m correct and how?

Answers

Answer:

i think that you are right becuase when the line goes down it goes back up and passes 10 and goes down and passes 20 and 20 is 2 10's and 10-10 is 0

Explanation:

i think your right

A roller coaster travels 18.0 m at an angle of 13.0° above the horizontal. How far does it move horizontally? Answer in units of m.

Answers

Answer:

here is an example

try to solve by this

x

=

126

10

,

28

m

Explanation:

Drawing the sketch and filling in all the data, we observe that it is a closed triangle where the cosine rule is valid to find the required side for the magnitude of the displacement.

This yields :

x

2

=

85

2

+

45

2

2

(

85

)

(

45

)

cos

150

Solving we get  

x

=

126

m

Then to find the direction of the displacement, we may use the sine rule or the cosine rule in the same triangle to yield that the angle of displacement from the horizontal is  

10

,

28

.

A clay cube has sides that are 5 cm long and a mass of 20 g. What is the density of the clay?

(Help)

Answers

Answer:

density = 0.16[gr/cm^3] = 160 [kg/m^3]

Explanation:

To solve this problem we must use the definition of density which tells us that this is equal to the relationship between mass and volume. In this way we have:

Since the body is a cube, its sides are equal we have:

v = 5 * 5 * 5 = 125 [cm^3]

m = 20 [grams]

density = m / v

density = 20/125

density = 0.16 [grams/cm^3]

Now if we convert the units to the international system, we have:

[tex]0.16[\frac{gr}{cm^{3} } ]*\frac{1kg}{1000gr} *\frac{100^{3} cm^{3} }{1^{3} m^{3} } \\= 160 [kg/m^{3} ][/tex]

Frictional force increases with the increase in the _______________ of the surface.
1 point
Smoothness
Roughness
Softness
None of the above

Answers

Answer:

Frictional force increases with the increase in the roughness of the surface.

Explanation:

You will see that the rougher the surface, the greater the wear and tear.

1. A box with a mass of 6 kilograms is pushed with a net force of 10N to
the right on a frictionless surface. Calculate the acceleration of the box. *

Answers

Answer:

[tex]a=1.67\ m/s^2[/tex]

Explanation:

Given that,

Mass of the box, m = 6 kg

The net force acting on the box, F = 10 N

We need to find the acceleration of the box. We know that the force acting on an object is given by :

F = ma

a is the acceleration of the box,

[tex]a=\dfrac{F}{m}\\\\a=\dfrac{10\ N}{6\ kg}\\\\a=1.67\ m/s^2[/tex]

So, the acceleration of the box is [tex]1.67\ m/s^2[/tex].

A charge of 6. 4 × 10–7 C experiences an electric force of 1. 8 × 10–1 N. What is the electric field strength? 1. 1 × 10–7 N/C 3. 6 × 10–6 N/C 8. 2 × 100 N/C 2. 8 × 105 N/C.

Answers

The electric field strength is defined as the ratio of electric force and charge. The electric field strength will be 2.8 ×10⁵ N/C.

What is electric field strength?

The electric field strength is defined as the ratio of electric force and charge. The field's direction is determined by the direction of the force acting on the positive charge.

A positive charge produces a radially outward electric field, whereas a negative charge produces a radially inward electric field.

The given data in the problem is;

Q is the charge= 6. 4 × 10–7 C

E is the electric force=1. 8 × 10–1 N

The relation between the electrostatic force and the electric field due to a charge is given as:

[tex]\rm F_E=Q E \\\\ \rm E=\frac{F_E}{Q} \\\\ \rm E=\frac{1.8\times 10^{-1}}{6.4\times 10^{-7}} \\\\ \rm E=2. 8 \times 10^5\ N/C.[/tex]

Hence the electric field strength will be 2.8 ×10⁵ N/C.

To learn more about the electric field strength refer to the link;

https://brainly.com/question/4264413

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