A ship sets out to sail to a point 141 km due north. An unexpected storm blows the ship to a point 102 km due east of its starting point. (a) How far and (b) in what direction (as an angle from due east, where north of east is a positive angle) must it now sail to reach its original destination

Answers

Answer 1

Answer:

Explanation:

The point of destination is 141 north and 102 km east . Vectorially it is represented by unit vector as follows .

D = 102 i + 141 j

magnitude of D = √ ( 102² + 141² )

= √ ( 10404 + 19881)

= √ 30285

= 174 km

To go back to original position , ship should move on the following vector

D = -102 i - 141 j

Tan Ф = 141 / 102 = 1.38

Ф = 54⁰ , direction will be south of west . From north  east , angle will be

180 + 54 = 234⁰


Related Questions

Are you better off in an accident where the hood is
deformed or where the car is not damaged at all but
bounces backward?

Answers

Answer:

you would be better off if the car bounced backwards

Explanation:

because if the hood was dismembered than you have a high chance of very bad injury but if it is just bounced back you would have less chance of getting hurt if properly sitting and seat belted.

____made up of glucose and fructose and found in plants.
1.Xylose
2.Maltose
3.Lactose
4.Sucrose

Answers

Answer:

1.Lactose

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Given that the frequency of an EM wave is 4THz,what is the wavelength?
a) 75,000um
b) 75,000nm
c) 75,000pm
d) 75,000A

Answers

Answer:

B. 75,000nm

Explanation:

The wavelength of a wave can be calculated thus;

λ = v/f

Where;

λ = wavelength (m)

v = velocity of light = 3 × 10^8m/s

f = frequency (Hz)

According to this question, the EM wave has a frequency of 4THz i.e. 4 Terahertz = 4 × 10^12Hz

λ = 3 × 10^8 ÷ 4 × 10^12

λ = 3/4 × 10^(8-12)

λ = 0.75 × 10^-4

λ = 0.000075m

Based on the options given, this value is equivalent to 75,000nm, which means 75000 × 10^-9m.

Does light travel faster in seawater or in fresh water? Does light travel faster in seawater or in fresh water? Light travels faster in seawater, because the index of refraction is smaller in seawater. Light travels faster in fresh water, because the index of refraction is smaller in fresh water. Light travels faster in fresh water, because the index of refraction is larger in fresh water. Light travels faster in seawater, because the index of refraction is larger in seawater.

Answers

No

because that is a light

The light travel faster in fresh water as compare to sea water.

When light goes from denser to rare medium the speed of light is increases.When light travel from rare to denser medium the speed of light is decreases.The reflective index of denser medium is more as compare to rare medium.The reflective index of sea water is more as compare to fresh water.

Hence, the light travel faster in fresh water as compare to sea water.

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I need helpp! This is urgent tomorrow is the duedate

Answers

Answer:

The Force that resists the motion of one object moving relative to another is Friction. Kinetic Friction Resists the motion of Moving objects, while Static friction keeps the objects from moving.

What is light? Let's tallk about anything

Answers

Light or visible light is electromagnetic radiation within the portion of the electromagnetic spectrum that can be perceived by the human eye. Visible light is usually defined as having wavelengths in the range of 400–700 nm, or 4.00 × 10⁻⁷ to 7.00 × 10⁻⁷ m, between the infrared and the

A tennis player hit a .057-kg ball with a force of 40 N. The duration of the force was .05 s.

Answers

40 because it is the highest and also because

A spider accelerates from a standstill to 5m/s in 10s. What is its acceleration?

Answers

Answer:

Acceleration = 0.5m/s²

Explanation:

Given the following data;

Final velocity = 5m/s

Time = 10 seconds

Since the spider started from rest, its initial velocity is equal to 0m/s

To find the acceleration;

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Mathematically, acceleration is given by the equation;

[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]

[tex]a = \frac{v - u}{t}[/tex]

Where,

a is acceleration measured in [tex]ms^{-2}[/tex]

v and u is final and initial velocity respectively, measured in [tex]ms^{-1}[/tex]

t is time measured in seconds.

Substituting into the equation, we have;

[tex]a = \frac{5 - 0}{10}[/tex]

[tex]a = \frac{5}{10}[/tex]

Acceleration = 0.5m/s²

Take 47 points. Hurry Someone save me just look the picture ​

Answers

Answer:

suppose buying pizza for a work party leads to positive morale and to the work being done in half the time. Pizza is the independent variable, Work speed is the dependent variable, The mediator, the middle man without which there would be no connection, is positive morale. Denaturation, in biology, the process of modifying the molecular structure of a protein. Denaturation involves the breaking of many of the weak linkages, or bonds (e.g., hydrogen bonds), within a protein molecule that is responsible for the highly ordered structure of the protein in its natural (native) state.

Explanation:

hope this helps have a good rest of your day :) ❤

Explanation:

HW1. For example, suppose buying pizza for a work party leads to positive morale and to the work being done in half the time. Pizza is the independent variable, Work speed is the dependent variable, The mediator, the middle man without which there would be no connection, is positive morale.

HW2. The word denature means to render food unpleasant or dangerous to consume, it is denatured by adding a substance known as a denaturant. Aversive agents—primarily bitterants and pungent agents—are used to produce an unpleasant flavor.

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A 1.0 C charged object and a 2.0 C charged object are separated by 100 m. Where should a -1.0x10-3 C charged object be placed on a line between the positively charged objects so that the net electrical force exerted on the negatively charged object is zero

Answers

Answer:

x = 41.2 m

Explanation:

The electric force is a vector magnitude, so it must be added as vectors, remember that the force for charges of the same sign is repulsive and for charges of different sign it is negative.

In this case the fixed charges (q₁ and q₂) are positive and separated by a distance (d = 100m), the charge (q₃ = -1.0 10⁻³ C)) is negative so the forces are attractive, such as loads q₃ must be placed between the other two forces subtract

             F = F₁₃ - F₂₃

let's write the expression for each force, let's set a reference frame on the charge q1

           F₁₃ = [tex]k \frac{q_1 q_3}{x^2}[/tex]

           F₂₃ = [tex]k \frac{q_2 q_3}{(d-x)^2}[/tex]

they ask us that the net force be zero

           F = 0

           0 = F₁₃ - F₂₃

           F₁₃ = F₂₃

          k \frac{q_1 q_3}{x^2} =k \frac{q_2 q_3}{(d-x)^2}

          [tex]\frac{q_1}{x^2} = \frac{q_2}{(d-x)^2 }[/tex]q1 / x2 = q2 / (d-x) 2

       

           (d-x)² = [tex]\frac{q_2}{q_1}[/tex] x²

we substitute

           (100 - x)² = 2/1  x²

           100- x = √2  x

           100 = 2.41 x

           x = 41.2 m

Use g = 9.80 m/s2 (down]
1. What velocity does a freely falling object reach after 4.0 s if it starts from rest?

Answers

Vf = Vi + at
Vf = 0 + (9.80)(4)
Vf = 39.2 m/s down
Hope a monkey breaks Arnold’s leg!

The velocity of the freely falling object reached after 4.0 s is equal to 39.2 m/s.

What is the equation of motion?

A relation can be established between the velocity of the body and acceleration of the body when the body is moving along a straight line with uniform acceleration. The distance traveled by the body in a specific time has expressed a set of equations called equations of motion.

The first equation of motion can be expressed as follows:

v = u + at

Where u is the initial velocity, v is the final velocity and a is the acceleration and t is the time of the object.

Given, the acceleration of the falling object, g = 9.8 m/s²

The initial velocity of the object, u = 0, and the time = 4 sec

The velocity of the object after time, t = 4 sec.

v = (0) + (9.80)× (4)

v = 39.2 m/s

Therefore, the velocity of the falling object will be 39.2 m/s after 4 seconds.

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Which two options are homogeneous mixtures?
A. Sand
B. A wet sponge
C. Liquid dishwashing soap
O D. Vinegar

Answers

Answer:

Liquid dishwashing soap

Vinegar

A fox locates its prey under the snow by slight sounds rodents make. The fox then leaps straight into the air, and then burrows its nose into the snow to catch its meal. If a fox jumps up to a height of 79 cm, calculate (a) the speed at which the fox leaves the snow, and (b) how long the fox is in the air. Ignore air resistance.m/s:s:You throw a baseball directly upward at time t = 0 at an initial speed of 12.9 m/s. What is the maximum height the ball reaches above where it leaves your hand? At what times does the ball pass through half the maximum height? Ignore air resistance and take g = 9.80 m/s2.Maximum height:Earlier time at half maximum height:Later time at half maximum height:

Answers

Answer:

1.a) 3.93 m/s

 b) 0.80 s

2. a) 8.49 m

   b) 0.39 s

 

Explanation:

1. a) The speed at which the fox leaves the snow can be found as follows:

[tex] v_{f}^{2} = v_{0}^{2} - 2gH [/tex]

Where:

g: is the gravity = 9.80 m/s²

[tex]v_{f}[/tex]: is the final speed = 0 (at the maximum height)

[tex]v_{0}[/tex]: is the initial speed =?

H: is the maximum height = 79 cm = 0.79 m

[tex] v_{0} = \sqrt{2gH} = \sqrt{2*9.80 m/s^{2}*0.79 m} = 3.93 m/s [/tex]

Hence, the speed at which the fox leaves the snow is 3.93 m/s.

b) The time at which the fox reaches the maximum height is given by:

[tex]v_{f} = v_{0} - gt[/tex]

[tex]t = \frac{v_{0} - v_{f}}{g} = \frac{3.93 m/s}{9.80 m/s^{2}} = 0.40 s[/tex]

Now, the time of flight is:  

[tex] t_{v} = 2t = 2*0.40 s = 0.80 s [/tex]

2. a) The maximum height the ball reaches is:

[tex] H = \frac{v_{0}^{2} - v_{f}^{2}}{2g} = \frac{(12.9 m/s)^{2}}{2*9.80 m/s^{2}} = 8.49 m [/tex]

Then, the maximum height is 8.49 m.

b) The time at which the ball passes through half the maximum height is:

[tex]y_{f} = y_{0} + v_{0}t - \frac{1}{2}gt^{2}[/tex]

Taking y₀ = 0 and [tex]y_{f}[/tex] = 8.49/2 = 4.245 m we have:

[tex] 4.245 m -12.9m/s*t + \frac{1}{2}*9.80m/s^{2}*t^{2} = 0 [/tex]  

By solving the above quadratic equation we have:

t = 0.39 s

Therefore, the time at which the ball passes through half the maximum height when the ball is going up is 0.39 s.

I hope it helps you!                                                                                                      

What recreational drug does an alcopop contain?

Answers

Alcohol is 100% correct

An "alcopop" is a term used to describe a flavored alcoholic beverage that typically resembles a soft drink or a fruit juice in appearance and taste. It is also referred to as a "ready-to-drink" (RTD) beverage.

Alcopops are often targeted toward younger consumers and are known for their sweet and fruity flavors, which can mask the taste of alcohol.

The specific recreational drug that an alcopop contains is alcohol itself. Alcohol, or ethanol, is a psychoactive substance that can have intoxicating effects when consumed.

It is considered a recreational drug because of its ability to alter consciousness, impair judgment and coordination, and produce pleasurable or mood-altering effects.

The alcohol content in alcopops can vary, but it is typically lower than in pure spirits or liquors. This is often achieved through dilution with other ingredients, such as carbonated water or fruit juices, to create a milder alcoholic beverage.

Alcopops may also contain additional flavorings, sweeteners, and additives to enhance their taste and appeal.

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What three factors determine the amount of potential energy in a object are ______,______,and ______.

Answers

Answer:

It should be Mass, Gravity and Height

Explanation:

According to the law of conservation of energy, how will the sum of the kinetic
and potential energies compare at the four points?
Can you also answer questions 1-5

Answers

Answer:

I think that this ans may help you

Billy is trying to shine a laser off a mirror at the end of a basketball court into Sam's eyes to distract him (Billy is evil). Sam is at a 38 degree reflection angle from the mirror. At what angle does Billy need to shine the laser at the mirror to get it in Sam's eyes.​

Answers

Answer:

When we have a plane interface, the angle of incidence of the ray is the same as the angle of reflection.

In this case, we have a mirror (we assume that it is plane) and we know that we need to have an angle of reflection equal to 38° in order to reach Sam.

Then the angle of incidence of the ray must also be exactly 38°.

Then Billy needs to shine his laser at an angle of 38° at the mirror.

(where the angle is measured between the normal line to the surface of the mirror and the incident ray)

Billy needs to shine the laser at an incident angle of 38 degrees.

LASER is an acronym that stands for “light amplification by the stimulated emission of radiation.” We know that according to the laws of reflection, the angle of incidence is equal to the angle of reflection.

As such, knowing that Sam is at a 38 degree reflection angle from the mirror, Billy needs to shine the laser at an incident angle of 38 degrees.

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Marquette King, formerly of the Denver Broncos, is practicingkicking off using a kicking holder with the ball on the ground.For one of the kicks the ball reaches a height of 90.6 m andlands on the ground 53 yds (48.5 m) away. Find the magnitudeof the initial velocity given by his kick to the ball. Treat airresistance as negligible. Hint: Even though the horizontal andvertical motions are independent, there is a quantity that iscommon to both of them.

Answers

Answer:

Explanation:

Maximum height reached = 90.6 m . Range = 48.5 m

. Let u be the initial velocity at angle α .

Horizontal range is covered by horizontal component of u .

Vertical height is achieved by vertical component

v² = u² sin² α - 2gh , t is time taken to attain maximum height .

0 = u² sin² α - 2 x 90.6 x 9.8  

u² sin² α = 2 x 887.88  -------( 1 )

Range R = u² sin2α / g

48.5 = 2 u² sinα . cos α / 9.8

u² sinα . cos α = 237.65 -----------------------------  ( 2 )

( 1 ) / ( 2 )

Tan α = 2 x 887.88 / 237.65 = 7.47

α = 82⁰

u² sin² α = 2 x 887.88

u² sin² 82 = 2 x 887.88

u² = 1812

u = 42.56  m /s

Describe how global context (scientific and technical innovation) is connected with force, friction,energy and motion in 200 words.

Answers

The global context of scientific inquires are technical innovation answers. It is connected with force friction energy and even motion.The global context is currently expiring in the worlds disruption. The comical diseases of the global stature human body semantically indecent

In a game of ice hockey, you use a hockey stick to hit a puck of mass 0.16 kg that slides on essentially frictionless ice. During the hit you exert a constant horizontal force on the puck that gives it an acceleration of 75 m/s2 for a fraction of a second. During the hit, what is the magnitude of the horizontal force that you exert on the puck

Answers

Answer:

12N

Explanation:

given- mass, acelation

Fnet=ma= .16kg*75m/s2

Fnet=12 N only force no friction given.

What is a measure of how much matter an object is made of?

Answers

Answer:

grams

Explanation:

diffraction of light is the __________ of light as it passes through the Edges of a barrier or a slit.

1, reflections
2, refraction
3,bending
4,absorbing

Answers

Answer:

3 bending

Explanation:

a star produces energy by? ( a p e x )
A. absorbing and releasing the matter of other stars.
B. rotating quickly on its axis.
C. reflecting energy from nearby stars.
D. creating helium from hydrogen in its core.

Answers

A star produces energy by creating helium from hydrogen in its core (option D).

How does a star produce energy?

A star is a luminous celestial body, made up of plasma (particularly hydrogen and helium) and having a spherical shape.

Nuclear fusion is the energy-producing process in stars. The "proton-proton chain," a series of events that turns four hydrogen atoms into one helium atom, dominates this process for the majority of stars.

Nuclear fusion is the combining of the nuclei of small atoms to form the nuclei of larger ones, with a resulting release of large quantities of energy.

Hydrogen atoms fuse in the core of the star to form a helium atom, which generates the energy for the star.

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A boat moves up and down as water waves pass under the boat. If the amplitude of the wave gets bigger, then
A)
the boat will rise up higher.
B)
the boat will not rise up as high.
C)
the boat will go up and down more often.
D)
the boat will continue to move the same way.

Answers

the anwser is A or D

Answer: The Boat will rise

Explanation: Because high amplitude means high in heights.

1. State the law of conservation of energy and what it means for you as a human considering how energy works.

2. Explain how different forms of energy are related.

PLEASE I NEED HELP!! I NEED IT NOW!! AND PLEASE DO IT IN YOUR OWN WORDS!! THANK YOU!

Answers

Answer: 1. The law of consevation of energy sates that energy can neither be created nor destroyed. It can only be transformed or transfered from one form to another. The law of conservation of energy is found everywhere for example, Water falls from the sky, converting potential energy to kinetic energy.

2. Different forms of energy are related because energy cannot be created or destroyed. they can all be transformed into from one form to another.

Explanation:

Can someone help me grasp the concept of solving this please

Answers

Answer:

Q= m × c × change in tempQ= 1000 cal/kg × C Q= (5kg) × (1000 ) × (100-13) Q= 435000Hence 4.35 × 10^5 Ask any questions!I also do quizzes and exams if your interested!

Using your knowledge on personal care products, how does sunscreen

lotion protect your skin from the damaging effect of ultraviolet rays?

Explain why of x-rays and gamma rays are commonly used in

radiotherapy.​

Answers

Answer:

Ultraviolet rays from sun are very harmful from skin and can cause sunburn and skin diseases especially ultraviolet B rays. A sunscreen  lotion act as a protection barrier on the skin that restrict the direct contact of UV rays with skin and filter the harmful rays to enter the skin.

Radiotherapy is a medical therapy use to treat cancer. Radiotherapy commonly uses x-rays and gamma rays because they are high-energy particles or waves that kills or destroys the cancer cells.

Sunscreen lotion is able to filter this damaging ultraviolet radiation and prevent it from damaging the skin.

The sun reaches us from outer space brings ultraviolet rays to us. Ultraviolet rays are known to have some damaging effects on the skin. One way to protect our skin from this damaging ultraviolet rays is to use sunscreen lotion which is able to filter this damaging ultraviolet radiation and prevent it from damaging the skin.

X-rays and gamma rays are used in radiotherapy because they are light energy rays which are able to penetrate and destroy malignant cells in the body.

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Someone help me with this PE question?

Answers

Answer:

Your abdominals

Explanation:

I think it is your core

An object with a mass of 5 kg is traveling ata velocity of 20 m/s. How much kinetic energy does it have?

Answers

Answer:

KE = ½mv²

KE = ½5kg×(20m/s)²

KE = ½5kg×400m²/s²

KE =5kg×200m²/s²

KE = 1000joules

g A boat is anchored 2000 ft from shore anddirects its searchlight towards an automobile travelingdown the straight road. At the particular moment whenthe distance rfrom the searchlight to the automobile is3000 ft, the automobile has speed 80 ft/s and increasesits speed at a rate of 15 ft/s2 down the road.Find the required angular velocity and angularacceleration of the boat's searchlight to track the automobile at this instant.(Answers: 0.018 rad/s CCW, 0.004 rad/s2 CCW)

Answers

Answer:

Explanation:

The distance of searchlight will act as radius R and velocity of car may be supposed to be tangential velocity v  . We are required to calculate  angular velocity ω .

v = 80 ft /s

R = 3000 ft

ω = v / R

= 80  / 3000 = .027 rad / s

For angular acceleration the formula is

angular acceleration α = a / R

a is linear acceleration = 15 ft / s²

α = 15 / 3000 = .005 rad / s².

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How did religious intolerance in Europe influence those people who chose to settle in the New World?options:A)Fearing religious persecution, many settlers fled to the New World in hopes of being able to practice their religion freely.B)Due to the fact that Protestantism was so widely accepted in Europe, only Catholics were threatened and saw the New World as an opportunity to escape persecution.C)Believing they were safe because of wide-spread religious tolerance in Europe, only the poor would be motivated to leave to find new opportunities.D)Religious intolerance played no role in the motivations of European settlers. New Technology Leads to Bigger CitiesIn the 1800s, the United States was still a very young nation, trying to solidify its identity. The Industrial Revolution began in Great Britain, a fast development of society following the introduction of machines. The United States was slower than Great Britain to fully embrace the changes. Yet key technological developments caused a rapid growth in American urban areas.Better farming methods and tools in the 1800s increased food production. Americans were able to grow enough food for their families as well as to sell. The abundance caused food prices to fall.The expansion of cotton and the growth of textile factories in northern states helped produce the first wave of American industry. More people turned to work in northern factories as a way to support their families. Thousands of immigrants to the United States also settled in or near port cities, looking for work. Even today, the need for work is a common reason people move to urban areas.As a result, cities grew in numbers of people and physical space. As more people and businesses moved in, they needed buildings for living and working. They needed ways to move around the city. We call this process urbanization.In 1820, the United States had only a few cities of 10,000 residents or more. About seven percent of U.S. residents lived in urban areas. The number of cities with more than 10,000 people grew quickly over the next 40 years, especially in the Northeast and Midwest. By 1860, about 20 percent lived in cities. Philadelphia and New York City were the most populated cities in 1860 and would soon reach one million residents.The urbanization of the United States quickened due to technology improvements. Without innovations in food production, the factories could not have grown so quickly. The trend quickened after 1860 and continued throughout the 21st century as well. By 2007, more Americans lived in or near cities than they did in rural areas.Which sentence from the conclusion paragraph best rephrases the author's thesis? (5 points)A. By 2007, more Americans lived in or near cities than they did in rural areas.B. Without innovations in food production, the factories could not have grown so quickly.C. The trend quickened after 1860 and continued throughout the 21st century as well.D. The urbanization of the United States quickened due to technology improvements. pleeease help will give brainliest Which two characteristics describe organisms in the kingdom Animalia?A. They are heterotrophic B.They are unicellular C. They are multicellular D.They have prokaryotic cells This is a multi (two) answer need help please thanks What is the discriminate of y=x^2-8x+2 200cm3 of hydrogen diffused through a porous pot in 40secs. How long will it take 300cm3 of chlorine to diffuse the same pot? The Lewis dot notation for two atoms is shown.Mg is written with two dots on its right. O is written on the right of Mg. There are six dots around O. Two arrows point from the dots near Mg to O.What is represented by this notation? Mg gains two protons from O. Mg donates two protons to O. Mg gains two electrons from O. Mg donates two electrons to O. Vicky is renting an apartment.In addition to the first months rent, the landlord requires him to pay half of a month's rent as security-deposit and 40% of a month's rent for utility bills before moving in.The total amount he has to pay the landlord before moving in is $3800. What is monthly rent ? A local newspaper claims that the number of flu cases is increasing exponentially. On Monday, there were 8 flu cases reported. On Tuesday, there were 12 flu cases and on Wednesday there were 24 cases reported. On Thursday, there were 30 flu cases. Was the newspaper's claim of exponential increase accurate? A light bulb consumes 11700 watt-hours in 3 days and 6 hours. How many watt hours does it consume per day? What is the factors for x squared plus 5x - 6 please help me on this i will give you brainliest If the author of this paper presented his research to a group of biologists, how would sentence 8 need to be revised to have a more formal tone? 12+22+32+...+102 =? PLEASE HELP ME, JUST WITH THE SECOND ONE MATHH DECIMALSS QUICKKK PLSSS what is the 'win-win situation ' in conflict management Tierney Company begins operations on April 1. Information from job cost sheets shows the following. Manufacturing Costs Assigned Job Number April May June Month Completed 10 $6,200 $4,900 May 11 5,000 4,700 $3,100 June 12 1,500 April 13 5,600 4,600 June 14 7,000 4,100 Not complete Job 12 was completed in April. Job 10 was completed in May. Jobs 11 and 13 were completed in June. Each job was sold for 25% above its cost in the month following completion.What is the balance in Work in Process Inventory at the end of each month?