A car drives 215km east and then 45km north. What is the magnitude of the cars displacement? Round you answer to nearest whole number.

Answers

Answer 1

Answer: [tex]219.65\ \text{km}[/tex]

Explanation:

Given

Car drives 215 km east and then 45 km North

Displacement is East direction is

[tex]\Rightarrow \vec{r_1}=215\hat{i}[/tex]

Now, the displacement from that to 45 km North is given by

[tex]\Rightarrow \vec{r_{21}}=45\hat{j}[/tex]

Net displacement is [tex]\vec{r_2}[/tex]

[tex]\Rightarrow \vec{r_2}=\vec{r_1}+\vec{r_{21}}\\\Rightarrow \vec{r_2}=215\hat{i}+45\hat{j}[/tex]

Magnitude of the displacement is

 [tex]\Rightarrow \left | r_{2} \right |=\sqrt{\left ( 215 \right )^2+\left ( 45 \right )^2}\\\Rightarrow \left | r_{2} \right |=\sqrt{48250}\\\Rightarrow \left | r_{2} \right |=219.65\ \text{km}[/tex]


Related Questions

Why are the shoes soles of fat people get worn out faster than those of thin people?

Answers

Less weight is why fat peoples souls wear out faster.

Si la experiencia de Torricelli se llevara a cabo al nivel del mar usando un aceite de 890
kg/m3
de densidad en lugar de mercurio, ¿cuál sería la altura que alcanzaría la columna de
aceite?

Answers

Answer:

La columna de aceite tendría una altura de 11,613 metros.

Explanation:

El modelo de Torricelli basa el cálculo de la presión atmosférica mediante el concepto de presión hidrostática, en donde la densidad del fluido ([tex]\rho[/tex]), en kilogramos por metro cúbico, es inversamente proporcional a la altura de la columna ([tex]h[/tex]), en metros, para una igual presión atmosférica ([tex]P[/tex]), en atmósferas. Entonces, podemos estimar la altura de la columna mediante el siguiente modelo:

[tex]\rho_{Hg}\cdot h_{Hg} = \rho_{o}\cdot h_{o}[/tex] (1)

Donde:

[tex]\rho_{Hg}[/tex] - Densidad del mercurio.

[tex]h_{Hg}[/tex] - Altura de la columna de mercurio.

[tex]\rho_{o}[/tex] - Densidad del aceite.

[tex]h_{o}[/tex] - Altura de la columna del aceite.

Si sabemos que [tex]\rho_{Hg} = 13600\,\frac{kg}{m^{3}}[/tex], [tex]h_{Hg} = 0,760\,m[/tex] y [tex]\rho_{o} = 890\,\frac{kg}{m^{3}}[/tex], entonces la altura de la columna del aceite es:

[tex]h_{o} = \left(\frac{\rho_{Hg}}{rho_{o}} \right)\cdot h_{Hg}[/tex]

[tex]h_{o} = \frac{13600\,\frac{kg}{m^{3}} }{890\,\frac{kg}{m^{3}} }\times (0,760\,m)[/tex]

[tex]h_{o} = 11,613\,m[/tex]

La columna de aceite tendría una altura de 11,613 metros.

A car moving round a circular rest of a car take 120/s to do a lap of 8/km what is the speed in kmlh

Answers

Answer:

speed = 240 kilometers per hour

Explanation:

so we know speed = distance over time

speed= 120s

distance= 8km

8km/120s=0.0666km/sec

0.0666km covered in 1 sec

3,600 seconds- 1km/hr

0.0666/1 times 3600= 239.76

239.76= 240km/hr

A student increased the resister of the voltmeter year not the circuit

Answers

Answer:

Say the full question I can't understand what it is

tìm chỉ số của A1 và A2

Answers

Answer:

A1

Explanation:

The answer is D. I can't figure out why? The human range is from 20 Hz to 20 kHz...

Answers

Answer:

(C) 2 kHz

Explanation:

The normal hearing frequency range of a person has a minimum of about 20 Hz, which is the about the frequency of the lowest pipe organ pipe. The maximum frequency that a human can ear comfortably is 20 kHz

Therefore, the student will not be able to hear sounds less than 20 Hz, and sounds above 20 kHz and the student will only be able to hear the 2 kHz sound.

If Cl− is the only anion in the solution, what is the Cl− concentration in milliequivalents per liter?

Answers

Answer:

155mEq/L Cl-

Explanation:

A Ringer’s solution contains the following concentrations of cations: 146 mEq/L of Na+, 5 mEq/L of K+, and 4 mEq/L of Ca2+.

As Cl- is the only counterion of those cations:

For Na, the molecule is NaCl and the mEq/L of Cl- = mEq of Na+. The Cl- of the first ion is 146mEq/L Cl-

For K+, The molecule is KCl, mEq Cl- = 5mEq/L Cl-

And, for Ca2+, The molecule is CaCl2 but the equivalents of Ca2+ = Equivalents of Cl- = 4mEq/L Cl-

The total concentration of Cl- are:

146 + 5 + 4 =

155mEq/L Cl-

Answer the question based on this waveform.

A wave has a velocity of 24 m/s and a period of 3.0 s.


Choose the correct amplitude.

1/2 m
1/72 m
3 m
Cannot be determined from the given information

Answers

Answer:

Cannot be determined from the given information

Explanation:

Given the following data;

Velocity = 24 m/s

Period = 3 seconds

To find the amplitude of the wave;

Mathematically, the amplitude of a wave is given by the formula;

x = Asin(ωt + ϕ)

Where;

x is displacement of the wave measured in meters.

A is the amplitude.

ω is the angular frequency measured in rad/s.

t is the time period measured in seconds.

ϕ is the phase angle.

Hence, the information provided in this exercise isn't sufficient to find the amplitude of the waveform.

However, the given parameters can be used to calculate the frequency and wavelength of the wave.

Can the magnitude of a vector ever (a) be equal to one of its components, or (b) be less than one of its components? 9. Can a particle with constant speed be accelerating? What if it has constant velocity? ​

Answers

Answer:

a) the other components are zero, in the direction of one of the coordinate axes

b) the magnitude is less than the value of one of its components, it must occur when the vector is in some arbitrary direction

9) constant velocity the acceleration must necessarily be zero,

constant speed  can be accelerated since it may be changing the direction of the velocity vector

Explanation:

Vectors are quantities that have modulo (scalar) direction and sense.

a)  If in a vector its magnitude is equal to one d its components implies that the other components are zero, therefore the vector must be in the direction of one of the coordinate axes

b) if the magnitude is less than the value of one of its components, it must occur when the vector is in some arbitrary direction, other than the direction of the axes, that is

          R² = x² + y²

where R is the magnitude of the vector e x, and are the components

9) When a particle has a constant velocity, the acceleration must necessarily be zero,

         v = vo + a t

The bold letters indicate vectors If a = 0 implies that v = vo

If a particle has constant speed it can be accelerated since it may be changing the direction of the velocity vector, this type of acceleration has the name of centripetal acceleration

Raquel establece que la rapidez del sonido en el aire en un día es de 346 m/s . Días después hace la misma medición obteniendo una rapidez de 340 m/ s . ¿Cuál será la temperatura del aire en cada día?

Answers

Answer:

La ecuación para la velodiad del sonido en aire esta dada por:

[tex]v = \sqrt{ \frac{\gamma*R*T}{M} }[/tex]

Resolviendo esto para T, obtenemos:

[tex]T = v^2*(\frac{M}{\gamma*R} )[/tex]

donde:

T = temperatura del aire en grados Kelvin

γ = constante adiabatica = 1.4

R = constante del gas ideal =

M = masa molar del aire = 29*10^(-3) kg/mol

Si sabemos que el primer día la velocidad es 346 m/s, tenemos:

v = 346 m/s

Ahora podemos reemplazar todos esos valores en la ecuación para T, y asi obtener:

[tex]T = (346m/s)^2*(\frac{29*10^{-3}kg/mol}{1.4* 8.31 J/mol*K} ) = 298.42 K[/tex]

Para el segundo día la velocidad es 340 m/s, entonces ese día la temperatura va a ser:

[tex]T = (340m/s)^2*(\frac{29*10^{-3}kg/mol}{1.4* 8.31 J/mol*K} ) = 288.16 K[/tex]

Give a general description of how winds form

Answers

Answer:

Wind comes from pressure and temperature differences.

Explanation:

Have you ever opened a window on a hot day to let a breeze in? What is happening is a rush of air to balance out temperatures. This goal for uniformity is why ice melts in a glass of warm coffee and air rushes out of a balloon.

Answer:

Wind forms when the sun heats one part of the atmosphere differently than another part. This causes expansion of warmer air, making less pressure where it is warm than where it is cooler. Air always moves from high pressure to lower pressure, and this movement of air is wind.

Explanation:

weight of the body will be more in air water Milk or Mercury​

Answers

Answer:

Mercury is the answer..

Answer:

I believe mercury

Explanation:

research paper on tsunamis (4-5 paragraphs minimum) 3) Tsunamis how they work….evacuation routes, structures built in oceans to protect, early detection, etc

Expectations:

A. Must be at least 4 full paragraphs. (probably will need to be more)

B. Must have an introductory paragraph that explains what the problem is, and the general overview of the paper.

C. Must Define Problem, including details and how it relates to Irvine

D. Main Body of Paper (probably couple of paragraphs) This is where you will show what you found out in your research. Make sure to include things like current use/techniques, as well as what technological advancements are being researched to improve your specific topic/issue.

E. Conclusion: Short summary of main points. Your Opinion on what is working and why (or what is not working and why)

F. Citations: Must use at LEAST 3 sources. Must site works at end, in either MLA or APA format, AND must site them where used in the paper (also MLA or APA format).

Make sure all work is yours and original. Copying is cheating. Using information from a source without citing is plagiarism.

Answers

A must be at least 4 full paragraphs probably will need more

Which of the following provides the best evidence in support of the big bang
theory?
O A. The way a balloon expands
B. The confirmation of special relativity
C. The uniformity of cosmic background radiation
D. The separation of energy levels in an atom

Answers

C. The Uniformity of Cosmic Background Radiation

what changes must be done to the wire to increase its conductance.​

Answers

Answer:

- Decreasing the resistance

- Using a shorter length

- Using a smaller area wire

Explanation:

Formula for conductance in wires is;

G = 1/R

Where;

G is conductance

R is resistance

This means that increasing the resistance leads to a larger denominator and thus a smaller conductance but to decrease the denominator means larger conductance.

Thus, to increase the conductance, we have to decrease the resistance.

Resistance here has a formula of;

R = ρL/A

Where;

ρ is resistivity

L is length of wire

A is area

Thus, to decrease the resistance, we will have to use a shorter length and smaller area of wire.

On the graph of voltage versus current, which line represents a 3.0 resistor

Answers

Answer:

C. Line A

Explanation:

V = A*R

12V = 4A*R

R = 12V/4A

R = 3ohms

Impulse can be defined as

The frequency at which something occurs

The change in velocity

The change in momentum from an force within the system

The change in momentum from a force outside of the system

Answers

Explanation:

The change in momentum from an force within the system.

I think its D. The change in momentum from a force outside of the system

Hey please could somebody write a speech that i could read out in front of my class about Charles Darwin and the Theory of Evolution. Thank you so much :D

Answers

Answer:

Charles Robert Drawin was an English naturalist,Geologist and Biologist, Best known for his contributions to the science of evolution. His proposition that all species of life have descended from common ancestors is now widely accepted and considered a fundamental concept in science!

How is the force useful to us? ​

Answers

Answer:

Force is useful to us because it changes or tries to change the positionof a body, it helps to change the direction of a moving object , it helps to change the speedof a moving body etc.

I hope this will help you

The use of force in our everyday life is very common. We use force to walk on the road, to lift the objects, to throw a cricket ball, or to move a given body by some particular speed or direction. We are very familiar with the various effects of force. We can exert pull and push.

A 0.080-kg egg test dummy is fitted with a helmet and attached to a swing. This egg test dummy is pulled back and released, allowing it to collide with a cement block. The impulse on the egg test dummy is - 0.39N.s is over an interval of 0.050 s. What is the magnitude of the force on the egg test dummy during this time interval?

Answers

Answer:

7.8 N

Explanation:

Applying,

I = Ft................. Eqaution 1

Where I = Impulse on the egg test dummy, F = Force on the egg test dummy during the time interval, t = time interval

make F the subject of the equation

F = I/t.................. Equation 2

From the question,

Given: T = -0.39 N.s, t = 0.050 s

Substitute these vales into equation 2

F = -0.39/0.050

F = -7.8 N

Hence the force that act on the egg test dummy is 7.8 N


A 105kg astronaut lands on the moon, with a weight of 170N. What is the acceleration due to gravity

Answers

Explanation:

given: m= 105kg,f=170N,a=?

F = m×a

a = f/m

a=170/105

therefore, a=1.62m/s^2

why our eyes donot feel cold ?​

Answers

Answer:

The corneal tissue at the front of the eye has high thermal conductivity so it doesn't stray too far from body temperature even when the ambient temperature is extreme. For example, if the environment is at -11°C, the surface temperature of a human cornea only falls to 28.6°C.

can u guys help me with this question.

State one example of the cause of a short circuit. Explain your answer​

Answers

Answer:

the positive and negative terminals of a battery are connected with a low resistance conductor.

List out the fundamental and derived units​

Answers

Derived Units Table: The Table Shows the List of Derived Units
Quantity Formula SI Derived Unit
Force Mass x Acceleration
Work Energy Force x Displacement Power/Time Kg. m.s-2
Pressure, Stress Force/Area Kg.m-1.s-2
Current density J = I/A A.m-2

Hai vận động viên chạy trên cùng 1 đoạn đường, vận động
viên A chạy với vận tốc 12 m/s vận động viên B chạy với vận tốc 36
km/h. Hỏi vận động viên nào chạy nhanh hơn?

Answers

Answer:

Pemain A

Explanation:

Mengingat data berikut;

Kecepatan pemain A = 12 m/s

Kecepatan pemain B = 36 km/h

Untuk menentukan siapa pelari tercepat di antara dua pemain;

Pertama-tama, kita harus mengubah kecepatan menjadi satuan standar pengukuran yang sama.

Jadi, mari kita gunakan pengukuran umum meter per detik.

Konversi:

36 km/h = (36 * 1000)/(60 * 60)

36 km/h = 36000/3600

36 km/h = 10 m/s

Kecepatan pemain B = 10 m/s

Oleh karena itu, dibandingkan dengan kecepatan pemain A; pemain A lebih cepat.

Calculate the maximum absolute uncertainty for R if:

R = 9A / B
A = 32 +/- 2 seconds
B = 11 +/- 3 seconds

1 second


0.33 seconds


9 seconds


2 seconds


6 seconds

Answers

Answer:

ΔR = 9 s

Explanation:

To calculate the propagation of the uncertainty or absolute error, the variation with each parameter must be calculated and the but of the cases must be found, which is done by taking the absolute value

           

The given expression is      R = 2A / B

the uncertainty is                 ΔR = | [tex]\frac{dR}{dA}[/tex] | ΔA + | [tex]\frac{ dR}{dB}[/tex] | ΔB

we look for the derivatives

     [tex]\frac{dR}{dA}[/tex] = 9 / B

     [tex]\frac{dR}{dB}[/tex] = 9A ( [tex]- \frac{1}{B^2 }[/tex] )

we substitute

     ΔR = [tex]\frac{9}{B}[/tex]  ΔA + [tex]\frac{9A}{B^2}[/tex]  ΔB

the values ​​are

     ΔA = 2 s

     ΔB = 3 s

 

     ΔR = [tex]\frac{9}{11}[/tex]   2 + [tex]\frac{9 \ 32}{11^2 }[/tex]  3

     ΔR = 1.636 + 7.14

     ΔR = 8,776 s

the absolute error must be given with a significant figure

     ΔR = 9 s

4. Interference is an example of which aspect of electromagnetic radiation?
A) Particle behavior
B) photon behavior
C) the photoelectric effect
D) wave behavior

Answers

Answer:

D is the answer wave behavior

Interference, refraction, diffraction, and dispersion are all aspects of wave behavior. (D).  That is, particles don't do these things.

If we go on the top of the Mountain we will our weight increase or decrease?​

Answers

Answer:

increase

Explanation:

guesshejwoowsnnsnakalalapqjhdjd

Answer:

our weight would decrease.

Explanation:

because of you burning all those calories and fat from hiking up the mountain.

The acidity model given by pH = -log10[H+] where acidity (pH) is a measure of the hydrogen ion concentration [H+] (measured in moles of hydrogen per liter) of a solution. Using this model, determine the pH of a solution with a hydrogen ion concentration of 2.3 X 10^-5 (round your answer to the nearest hundredth)

Answers

Answer:

Hydrogen ion concentration, [H+] :

[tex]{ \bf{[H {}^{ + } ] = 2.3 \times {10}^{ - 5} \: mol \: l {}^{ - 1} }}[/tex]

Substitute to the negative logarithmic model:

[tex] = { \tt{ - log(2.3 \times {10}^{ - 5} ) }} \\ pH = 4.64[/tex]

Does anyone know the answer ? I forgot my calculator.


12 x sin50

Answers

12 × sin50 = 9.192533317........

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