A tourist follows a passage that takes her 160 m west, then 180.m at an angle of 45.0∘ south of east, and finally 250 m at an angle 35.0∘ north of east. The total journey takes 12 minutes. (4)

a. Calculate the magnitude of her displacement from her original position.

b. She measures the distance she has walked to a precision of 5%. She times her total journey to ±20 s. (4)

(i) What is her average speed?

(ii) What is the absolute uncertainty on her absolute speed?

Answers

Answer 1

Answer:

a) R = 172.82 m, 5.3 north of east    b)   v = (0.24 ± 0.01) m / s

Explanation:

a) the displacement is a vector, so the easiest method to lock is looking for each component

let's start decomposing the vectors

 x₁ = - 160 m

second shift

angle 45 south of east

     cos (-45) = x₂ / d₂

     sin (-45) = y₂ / d₂

     x₂ = d₂ cos 45

     y₂ = -d₂ sin 45

     x₂ = 180 cos 45 = 127.28 m

     y₂ = -180 sin 45 = - 127.28 m

third shift

      cos 35 = x₃ / d₃

      sin 35 = y₃ / d₃

      x₃ = d₃ cos 35

      y₃ = d₃ sin 35

      x₃ = 250 cos 35 = 204.79 m

      y₃ = 250 sin 35 = 143.39 m ₃

X axis

       x_total = x₁ + x₂ + x₃

       x_total = -160 +127.28 +204.79

       x_total = 172.07 m

Y axis  

      y_total = y₁ + y₂ + y₃

      y_total = 0 - 127.28 + 143.39

      y_total = 16.11 m

to compose the displacement we use the Pythagorean theorem

      R = [tex]\sqrt{x^2 +y^2}[/tex]

      R = [tex]\sqrt{172.07^2 + 16.11^2 }[/tex]

      R = 172.82 m

in angle is

      tan θ = y_total / x_total

      ten θ = 16.11 / 172.07 = 0.0936

      θ = tan⁻¹ 0.0936

       θ = 5.3

angle is 5.3 north of east

b) the error in the distance is 5%,

               e% = ΔR/R  100

               ΔR = e% R / 100

               ΔR = 5 172.82 / 100

               ΔR = 8.6 m

the time error Dt = 20 s

We calculate the speed and this we calculate the error

      v = R / t

      v = 172.82 / 12 60

      v = 0.240027 m / s

the error in this magnitude is

      Δv = [tex]\frac{dv}{dR} \ \Delta R + \frac{dv}{dt} \ \Delta t[/tex]

       Δv = [tex]\frac{1}{t} \ \Delta R + \frac{R}{t^2 } \ \Delta t[/tex]

         Δv = [tex]\frac{ 8.6}{720} + \frac{172.82 \ 20}{720^2 }[/tex]

         Δv = 0.013 m / s

the measurement result is

         v = (0.24 ± 0.01) m / s


Related Questions

Which of the following best describes a nebula?

Answers

Explanation:

is a formation in space which is constituted mostly of helium, dust and other gases in various concentration

What is the product of an oxidation reaction?
Ozone
Oxygen
Oxide

Answers

Answer:

Oxide

Explanation:

Ozone and oxygen are oxidising agents

[tex]O _{3} \: \: ozone \\ \\ O _{2} \: \: oxygen[/tex]

Answer:

Oxygen

Explanation:

The name oxidation actually originates from the word oxygen so the question answers it's self.

In case you don't know what oxidation is:

Oxidation occurs when an atom, molecule, or ion loses one or more electrons in a chemical reaction. When oxidation occurs, the oxidation state of the chemical species increases. Oxidation doesn't necessarily involve oxygen! Originally, the term was used when oxygen caused electron loss in a reaction.

Have a great day <3

The upper layer of soil consisting of rock particles, water, air, and organic matter is the​

Answers

Answer: Bedrock

Explanation:

Bedrock is the solid layer of rock beneath the soil. Soil is a mixture of rock particles, minerals, decayed organic material, air, and water. The decayed organic material in soil is humus, a dark-colored substance that forms as plant and animal remains decay.

Which of the following is the unit of momentum

a) ms-1 b) Kg ms-1

c) Ns d) Kgms-2​

Answers

Answer is b) I think

Answer:

the answer is (b) Kg ms-1 .

A projectile is launched from the ground with an initial velocity of 12ms at an angle of 30° above the horizontal. The projectile lands on a hill 7.5m away. The height at which the projectile lands is most nearly

A- 1.78m
B- 3.10m
C- 5.34m
D- 6.68m
E- 12.0m

Answers

Answer:

A. 1.78 m

Explanation:

Given;

initial velocity of the, u = 12 m/s

angle of projection, θ =  30°

the range of the projectile, R = 7.5 m

To obtain the height through which the projectile lands, we must calculate the maximum height reached by the projectile.

[tex]H = \frac{u^2\ sin^2\theta}{2g} \\\\H = \frac{(12)^2\times (sin(30))^2}{2 \times 9.8} \\\\H = \frac{144 \times (0.5)^2}{19.6} \\\\H = 1.84 \ m[/tex]

Therefore, the height is most nearly 1.78 m

PLEASE HELP ASAP, WILL MARK BRAINLIEST!!!!

Answers

Answer:

it's yellowish orange (3)

Explanation:

A grapefruit has a pH of somewhere between 2.9-3.3 and it is quite acidic. The juice of a grapefruit can cause erosion of tooth enamel and cause damage to one's teeth if ate excessively


Task: At the end of the lesson you will be asked to develop a final writing assignment on the environmental problerns
caused by invasive e algae e, and the methods used to restore the natural habitats e in Crystal River and Kings Bay,
ments
Essay Response: (3 Paragraphs)
5
• Describe the environmental problem caused by invasive algae in these areas and the goals of the Save Crystal River
project.
• Explain the steps in the process used to correct the problem.
. Finally, conclude with why the information gathered during the Save Crystal River project is important to the
environment now and to future generations,


If someone can answer this fast I will mark as brainlist and give them 100 points plzz I need the answer fast and right!!

Answers

Answer:

PLS PLS PLS mark brainliest

Explanation:

The following are the environmental problems caused by the invasive algae which is known as Lyngbya.

A. It blocks the sunlight from reaching the water, thereby depriving the plants in the water from accessing it. So they won't be able to manufacture their foods and eventually die off.

B. The algae produce offensive odour like rotten egg , which drive people and other organisms away.

C. The algae prevent oxygen from entering the water, and prevent the resident organisms from making use of it, which leads to their death.

D. The algae also give off heat into the chilly spring waters.

In conclusion, the goals of the Crystal River project is to save the living organisms in the river from extinction and to make it a livable environment for them.

How should Simon use the theory of relativity to
describe what the astronaut must do in order to hit the
button?
Simon is writing a story about an astronaut whose
spacecraft has been boarded by space pirates. The
astronaut has her lucky penny in her hand behind her
back as the space pirates break into the control room.
She has just locked the controls so that the ship is
accelerating in the direction of the control room's
ceiling. Simon wants the astronaut to use the penny to
hit a button on the control panel to turn off the lights
and escape. The button is located a short distance
behind and below the astronaut's hands.
O The astronaut should toss the penny straight up as
it will appear to fall in an arc because objects in an
accelerating frame of reference behave in the same
way as they would in a gravity field.
O The astronaut should just let the penny go, as the
control panel will accelerate upward and curve
toward the astronaut because there is no gravity
field
O The astronaut should toss the penny horizontally
straight behind her as it will appear to fall in an arc
because objects in an accelerating frame of
reference behave in the same way as they would in
a gravity field.
The astronaut should toss the

Answers

Answer:

C

Explanation:

Answer:

c

Explanation:

edge

What is the total resistance of the circuit shown below?
(Please help)

Answers

[tex]\huge{ \mathfrak{ \underline{Answer : }}} [/tex]

In the given figure, the resistors are joined in parallel connection.

Let's solve for total resistance [tex]R_t[/tex] :

[tex] \dfrac{1}{R_t} = \dfrac{1}{ R_1} + \dfrac{1}{R_2} [/tex]

[tex] \dfrac{1}{R_t} = \dfrac{1}{20} + \dfrac{1}{30} [/tex]

[tex]\dfrac{1}{R_t} = \dfrac{3 + 2}{60} [/tex]

[tex]\dfrac{1}{R_t} = \dfrac{5}{60} [/tex]

[tex]{R_t} = \dfrac{60}{5} [/tex]

[tex]{R_t} = 12 \: \: ohms[/tex]

____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Which quantity must equal zero if a car is moving at a constant rate along a straight line?
A. direction of the car
B. energy of the car
C. speed of the car
D. acceleration of the car

Answers

B the energy of the car. Sorry if this is not right

The acceleration of the car must equal zero if a car is moving at a constant rate along a straight line.

What forces are acting on a car moving at a constant speed?

A car moving at a constant speed (uniform motion) has all forces acting on it balanced. In this case, the two backward forces (air resistance and friction) perfectly balance the applied force of the wheels on the road in the opposite direction.

When the car is moving at a constant speed?

Acceleration is defined as the rate of change in speed. So if the car is moving at a constant speed that means the rate of change in speed is zero. Hence, acceleration is zero.

Learn more about acceleration here https://brainly.com/question/14344386

#SPJ2

A student uses 80 joules of energy to lift a backpack in a time of 0.75 seconds. How much power
does the student have?

Answers

Answer:

P = 106.7 W

Explanation:

Given that,

Work done in lifting a backpack, W = 80 J

It is lifted in 0.75 seconds

We need to find the power of the student. The power of an object is defined as work done per unit time. So,

[tex]P=\dfrac{W}{t}[/tex]

Put all the values,

[tex]P=\dfrac{80}{0.75}\\\\P=106.7\ W[/tex]

So, the power of the student is 106.7 W.

Velocity is often described as speed with a __________.

Answers

Answer:

rate

Explanation:

Note that speed has no direction (it is a scalar) and the velocity at any instant is simply the speed value with a direction.

A boat moves through the water of a river at 10m/s relative to the water, regardless of the boat ‘s direction . If the water in the river is flowing at n1.50m/s , how long does it take the boat to make a round trip consisting of of 300m displacement downstream followed by a 300m displacement upstream?

Answers

Answer:

The appropriate solution is "61.37 s".

Explanation:

The given values are:

Boat moves,

= 10 m/s

Water flowing,

= 1.50 m/s

Displacement,

d = 300 m

Now,

The boat is travelling,

= [tex]10+1.50[/tex]

= [tex]11.5 \ m/s[/tex]

Travelling such distance for 300 m will be:

⇒ [tex]v = \frac{d}{t} \ sot \ t[/tex]

      [tex]=\frac{d}{v}[/tex]

On putting the values, we get

      [tex]=\frac{300}{11.5}[/tex]

      [tex]=26.08 \ s[/tex]

Throughout the opposite direction, when the boat seems to be travelling then,

= [tex]10-1.50[/tex]

= [tex]8.5 \ m/s[/tex]

Travelling such distance for 300 m will be:

⇒ [tex]v=\frac{v}{t} \ sot \ t[/tex]

      [tex]=\frac{d}{v}[/tex]

On putting the values, we get

      [tex]=\frac{300}{8.5}[/tex]

      [tex]=35.29 \ s[/tex]

hence,

The time taken by the boat will be:

= [tex]26.08+35.29[/tex]

= [tex]61.37 \ s[/tex]

The frequency range for a normal human ear is between 20 Hz and 20 000 Hz. Using 330 m/s as the speed of sound, a. Calculate the shortest wavelength of sound that can be heard: b. Calculate the longest wavelength of sound that can be heard:

Answers

Answer:

(a) 0.0165 m

(b) 16.5 m

Explanation:

Applying,

v = λf.................. Equation 1

Where v = velocity, f = frequency, λ = wave length.

make λ the subject of the equation

λ = v/f............. Equation 2

(a) Shortest wavelength (λ')

Given: f' = 20000 Hz, v = 330 m/s

Substitute these values into equation 2

λ' = 330/20000

λ' = 0.0165 m

(b) Longest wavelength (λ)

Given: v = 330 m/s, f = 20 Hz

Substitute these value into equation 2

λ = 330/20

λ = 16.5 m

For every 120 joules of energy input a car wastes 85 joules , find the useful energy output of the car ?

Answers

Answer:

35 Joules

Explanation:

Applying

Input Energy(Q) = Useful energy output(U)+Wasted Energy(W)

Q = U+W.............................. Equation 1

Make U the subject of the equation

U = Q-W................... Equation 2

From the question,

Given: Q = 120 Joules, W = 85 Joules

Substitute these values into equation 2

U = 120-85

U = 35 Joules

When will electric charges flow?
A. When the circuit is open.
B. When the circuit is incomplete.
C. When the circuit is closed.
D. When the switch is off.

Answers

c. when the circuit is closed

Answer:

A

Explanation:

Can anyone answer this its a science question NO LINKS!!!

Answers

Answer:

The correct answer is C I took the mastery test

Explanation:

Answer:

d last one

Explanation:

what makes global winds curve rather than move in a straight line?​

Answers

As wind or an ocean current moves, the Earth spins underneath it. As a result, an object moving north or south along the Earth will appear to move in a curve, instead of in a straight line. ... The Coriolis effect causes winds and currents to form circular patterns.

Answer:

because the Earth rotates, circulating air is deflected. Instead of circulating in a straight pattern, the air deflects toward the right in the Northern Hemisphere and toward the left in the Southern Hemisphere, resulting in curved paths. This deflection is called the Coriolis effect.

Do noble gases lose or gain electrons to get a full valence shell?

Answers

they don't lose OR gain electrons as they've already achieved the octet rule and have 8 valence electronsn

During a chemical reaction, some substances are completely consumed while others my not be. What is the substance that is completely consumed in a chemical reaction?

Question 3 options:

reactant


product


a limiting reactant

Answers

Answer:

It is Limiting Reactant

Explanation:

26. A physical science student is performing a thermodynamics experiment in the school laboratory. She takes a 30.0 g ice cube at 0. °C and melts it to water in a beaker over a laboratory burner. She then heats the water to boiling at 100. °C. Finally she boils the water entirely to steam at 100. °C. How much thermal energy was gained by the water during this entire process?

Answers

Answer:

The thermal energy gained by the water during the entire process is 90,372 J

Explanation:

Given;

mass of the ice cube, m = 30 g

latent heat of fusion of ice, L = 334 J/g

specific heat capacity of water, C = 4.184 J/g⁰C

latent heat of vaporization of water, h = 2260 J/g

The thermal energy gained by the water during the entire process is calculated as;

[tex]Q_t = Q_{fusion-ice} \ + \ Q_{boil-water} \ + \ Q_{steam-vapor}[/tex]

The heat of fusion of the ice at 0⁰C is calculated as;

[tex]Q_{fusion} = mL = 30\ g \times 334 J/g = 10020 \ J[/tex]

The heat of capacity of the water from  0⁰C to 100 ⁰C

[tex]Q_{boil-water} = mc\Delta \theta = mc(100-0) = 30\ g \times 4.184\ J/g^0C \times 100\ ^0C = 12,552 \ J[/tex]

The heat of vaporization of the steam at 100⁰C is calculated as;

[tex]Q_{steam} = mh= 30 g \times 2260 \ J/g= 67,800 \ J[/tex]

The thermal energy gained by the water during the entire procees;

Qt = 10,020 J  +  12,552 J   +  67,800 J

     = 90,372 J

Therefore, the thermal energy gained by the water during the entire process is 90,372 J

morse code and string phone cup
1.What was different about the two methods?

2.If your string phone stretched out one block long, which method do you think would be clearer?

3. If you had a Morse Code expert on both ends to act like a computer taking in information, would that make a difference?​

Answers

Answer:

Following are the responses to the given question:

Explanation:

Following are the difference in the speed and accuracy:

The biggest difference was its tone between both the cup method as well as the Morse code. One should talk using cup system and sequence system and let its covering be understood in Morse code, just a series of beeps weren’t tangible... Secondly, a method of cup involves a range string. Rukun Negara is often distributed by cable, but this is a greater range. It reaches concurrently in those other areas.

In the case of using the string method for the block, its distance and stiffness of the string are limited and the barriers are eliminated. It will certainly be convenient and clearer if one utilizes Sign language.

If two experts are acting like such a machine on both sides, their information between both the 2 persons is smoother and quicker as they will not have to wait for data from a third person which may create another pause at the time.

Morse code is faster, eventually. For some very small periods when sensitive information is not transmitted, strings or cup methods must be reserved.

What kind of image is formed by an object that is placed beyond the center of curvature on the principal axis of a concave mirror?
A.
real, inverted, the same size as the object, and at the same distance as the object
B.
real, inverted, larger than the object, and farther from the mirror than the object
C.
virtual, upright, left-right reversal, the same size as the object, and at the same distance as the object
D.
real, inverted, smaller than the object, and closer to the mirror than the object
E.
virtual, upright, larger than the object, and farther from the mirror than the object

Answers

Answer:D.

Real, inverted, smaller than the object, and closer to the mirror than the object

Explanation: Real images will be inverted. As it is beyond the centre of curvature it is also beyond 2F which means that the image is inside the centre of curvature ( between F and 2F from the mirror ) As the image is closer to the mirror than the object it must be diminished in size

Which of these scenarios describes circular motion?
es )
A)
The moon orbiting the Earth
B)
A cannonball flying from a cannon
C)
A car moving along a straight track
D)
The pendulum of a grandfather clock

Answers

A)

The moon orbiting the Earth

(c) Another spring has a spring constant of 250 N/m.
Calculate the work done in stretching the spring by 0.30 m.
State the unit.
Use the equation
E = 12 x K x x2

Answers

It is E=something which leases another something equaling another something

Help please!!


What are the three criteria that determine if a wave is a sound wave?

Answers

Answer:

Wavelength, Amplitude, Time-Period, Frequency and Velocity or Speed.

Explanation:

Sound wave can be described by five characteristics: Wavelength, Amplitude, Time-Period, Frequency and Velocity or Speed. The minimum distance in which a sound wave repeats itself is called its wavelength. That is it is the length of one complete wave

Answer: Sound wave can be described by five characteristics: Wavelength, Amplitude, Time-Period, Frequency and Velocity or Speed.

Explanation:

The minimum distance in which a sound wave repeats itself is called its wavelength. That is it is the length of one complete wave.

¿Crees que a más horas de sueño mayor descanso?

Answers

Answer:

La mayoría de los adultos necesitan entre 7 y 8 horas de sueño de buena calidad en un horario uniforme todas las noches.

Explanation:

Help please, with #18, it’s a basketball question

Answers

Answer: D

Explanation:

Answer:

C. A lob pass.

Hope this helps!!

Which statement did Ernest Rutherford make about atoms?
A. Atoms are different for different elements.
B. The atom has a small, dense center.
O C. The atom is made up of smaller particles.
D. The energy of an electron depends on its specific orbit.

Answers

The statement did Ernest Rutherford make about atoms will be the atom has a small, dense center. Then the correct option is B.

What is the Ernest Rutherford model?

The majority of alpha particles went right through the gold foil, signifying that particles are mostly made up of empty space. Several alpha particles were mildly distracted, indicating interactions with positively charged particles within the unit. Some alpha particles were spread at wide degrees, with a few even returning to the source.

Rutherford characterized the atom in 1911 as having an understanding, dense, and ionized center termed the nucleus. Rutherford discovered that the mass of an atom is possessed in its nucleus.

The atom has a small, dense center. Thus, option B is correct.

More about the Ernest Rutherford model link is given below.

https://brainly.com/question/5831461

#SPJ1

The information shows the masses after the compounds are balanced.

2MgO + 2Cl2 → 2MgCl2 + O2

85g + 156g → 188g + ?

If the following materials are used during the reaction of magnesium, oxygen, and chlorine, what mass oxygen would we expect to see after the reaction and why?

A.
53g of O2, because all mass must be conserved.

B.
241g of O2, because all mass must be conserved.

C.
42.5g of O2, because all mass must be conserved, it would be half of the compound MgO in the products.

D.
106g of O2, because all mass must be conserved, it would be double the compound MgO in the products.

Answers

Answer:

The information shows the masses after the compounds are balanced.

2MgO + 2Cl2 → 2MgCl2 + O2

85g + 156g → 188g + 53g

as total mass in reactant is equal to product.

A.

53g of O2, because all mass must be conserved.

Other Questions
What is the largest reservoirfor carbon?A. marine environmentsB. atmosphereC. producers Lines AB and CD are perpendicular to each other. If 3 measures (4x + 4), and 4 measures 26, what is the value of x?Please justify your answer, I really don't understand it. List the Boolean operators. WILL GIVE BRAINLIESTWrite the rough draft of your fairy tale. You may copy and paste the accented and special characters from this list if needed: , , , , , , , , , , , , , , Your rough draft should be written in complete sentences in Spanish and include the following requirements: (30 points)a classic fairy tale phrase to start the talea regular or irregular superlative adjective to describe your main charactera regular or irregular verb in the imperfect tense to share where your main character livedan -simo or -sima superlative adjective to describe the other character from your fairy talea regular or irregular verb in the imperfect tense to describe what the characters dida classic fairy tale phrase to end the talevocabulary words and expressions learned in the course FBISD bought 12 new chairs for $28.99 each, and 8 tables for $45.50 each. What is the total price, including 8.25% sales tax. A)$772.39B)$711.88C)$347.88D)$60.51Please hurryyyyy please On February 28, 2009, $5,000,000 of 6%, 10-year bonds payable, dated December 31, 2008, are issued. Interest on the bonds is payable semiannually each June 30 and December 31. If the total amount received (including accrued interest) by the issuing corporation is $5,060,000, which of the following is correct?a) The bonds were issued at a premium.b) The amount of cash paid to bondholders on the next interest date, June 30, 2009, is $300,000.c) The amount of cash paid to bondholders on the next interest date, June 30, 2009, is $50,000.d) The bonds were issued at a discount. Your living room is carpeted but you have allergies, and need to cover the 9 points floor with hardwood panel flooring. The panel flooring at Lowes cost $3.19 per square foot. (scale: 1m = 3.28 ft) Hint: Each unit contains 32.29 square feet. How much will it cost to purchase the flooring panels? (round to the nearest cent) HELPPPPPPPP Why to solve this question Venus filium, Aeneam", amavit, itaque magnum lovem (Jupiter, acc. sing.) de fatoAeneae* rogavit. Iuppiter* tum dixit, "Dea, noli timere*, Fata* immota manebunt. Tuusfilius erit tutus, et Aeneae* imperium perpetuum donabo."Translate paragraph from latin to english Please help!!!Select the correct answer Question 7 of 10These box plots show daily low temperatures for a sample of days in twodifferent towns.Degrees (F)Which statement is the most appropriate comparison of the spreads? Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 24cards, which was 20% of the cards sold for Mother's Day. How many cards were soldfor Mother's Day? PLS HELP!! GIVING BRAINLIEST!! :((Ian Uses The Rule Add 1/2 Then Multiply By 2 Starting From 0 Bob walks 8/10 of a kilometer to school each day. How many kilometers does bob walk to school in 5 days ? Which path would the laser take when entering the water from air? brown or black Why are air pollution levels in Mexico City significantly greater than in other areas of Mexico??A. The city is sparsely populated.B. The city is situated at a low altitude.C. The city is surrounded by mountains.D. The city is located far from major waterways. 42(1367)=I need help Either:Write a story set on a dark night The sequence of the differences, 2, 4, 8, 16, 32, is a geometric sequence with:a1 = and r1 = *Please Help** There are 8 blue marbles, 3 red marbles, and 4 yellow marbles in a bag. What is the probability of selecting a purple marble on the first draw?