A woman launches a boat from one shore of a straight river and wants to land at the point directly on the opposite shore. If the speed of the boat is 10 mph and the river is flowing east at 5mph, in what direction should she head the boat in order to arrive at the desired landing point

Answers

Answer 1

Answer:

If she stands on the North side of a river flowing to the East at 5 mph,

she must head towards the SouthWest to arrive on the South side of the river directly across from her starting point and we have

x^2 + 5^2 = 10^2 where x is her speed directly across the river

x = (75)^1/2 = 8.66 mph towards the South

sin theta = 5 / 10 = 1/2

She must angle the boat at 30 deg from straight South


Related Questions

A student drew the following flowchart.
Crushing > Sizing > Concentrating > Dewatering
What is the purpose of the process?
A. To refine crude oil
© B. To precipitate minerals
O C. To refine minerals
O D. To blend coal

Answers

To refine minerals best describes the purpose of the process mentioned and is denoted as option B.

What is Refining?

Thi involves the different processes involved in the purification of the elements found in the earth.

Refining materials usually starts with crushing and ends with dewatering to drain water.

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A baseball is thrown horizontally at 55m/s. The ball slows down at a rate of -10 m/s2. How long is the ball in the air before coming to rest?

Answers

The time of motion of the ball before coming to rest is  determined as 5.5 s.

Time of motion of the ball

The time of motion of the ball before coming to rest is calculated as follows;

v = u + at

when the ball comes to rest, v = 0

0 = u + at

0 = 55 + (-10)t

0 = 55 - 10t

10t = 55

t = 5.5s

Thus, the time of motion of the ball before coming to rest is 5.5 s.

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A proton in a high-energy accelerator is given a kinetic energy of 50.0 GeV. Determine (a) the momentum and (b) the speed of the proton.

Answers

(a) The momentum of the proton is determined as 5.17 x 10⁻¹⁸ kgm/s.

(b) The speed of the proton is determined as  3.1 x 10⁹ m/s.

Momentum of the proton

The momentum of the proton is calculated as follows;

K.E = ¹/₂mv²

where;

m is mass of proton = 1.67 x 10⁻²⁷ kgv is speed of the proton = ?Speed of the proton

v² = 2K.E/m

v² = (2 x 50 x 10⁹ x 1.602 x 10⁻¹⁹ J)/(1.67 x 10⁻²⁷)

v² = 9.6 x 10¹⁸

v = 3.1 x 10⁹ m/s

Momentum of the proton

P = mv = (1.67 x10⁻²⁷ x 3.1 x 10⁹) = 5.17 x 10⁻¹⁸ kgm/s

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Use your knowledge of the Law of Conservation of Mechanical Energy to evaluate the
following scenarios about a frictionless roller coaster if the coaster starts from rest at the
top of a hill and then rolls down the hill.
A. Where is KE-PE?
B. Where is KE=0?
C. Where is PE=0?

Answers

the answer is C. where is PE= 0?

After three half-lives have elapsed, the amount of an 8.0 g sample of a radionuclide that
(hint: pizza slices)
a. remains undecayed is 1.0 g
b. has decayed is 7.09
c. remains undecayed is one-third the original amount
d. more than one correct response
e. no correct responsel

Answers

After three half-lives have elapsed, the amount of an 8.0 g sample of a radionuclide that remains undecayed is 1.0 g.

What is Half-Life?

Half-Life refers to the time it takes for half the amount of a substance to disappear or change.

The nucleus of the atoms of radioactive elements disintegrate to half their starting amounts after every Half-Life.

After three half-lives one-eight of the original atoms remain.

Therefore, after three half-lives have elapsed, the amount of an 8.0 g sample of a radionuclide that remains undecayed is 1.0 g.

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Which image best represents kinetic energy?

Answers

Answer:

throwing a ball

Explanation:

because when we throw the ball we apply force so that the ball goes faster

A manufacturer supplies plastic cups that are placed under the legs of the chair

Answers

A manufacturer supplies plastic cups that are placed under the legs of the chair. The manufacturer's claim is that there will be no marks of chair due to pushing or pulling on the floor.

Who is a manufacturer?

A manufacturer is a person who converts his idea of developing and constructing any item using some set of machines.

A manufacturer supplies plastic cups that are placed under the legs of the chair.

When there is a relative motion between two objects, friction force causes the opposition to this motion. Between chair and floor, there will be high magnitude of force. But if we insert plastic cups in the legs of chair, then the friction between cup and floor will be less. This keeps the floor protected form any scratches.

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#1 explain why there is no such thing as a quick and easy way to lose weight.

#2 why can’t you not always trust “before and after” photos?

#3 what are three things you should do before you buy exercise equipment?

#4 name a exercise equipment, how it is supposed to work and why you are skeptical about it?

Answers

Exercise is a vigorous activity that tends to help us to burn calories and loose weight in the process.

What is exercise?

Exercise is a vigorous activity that tends to help us to burn calories and loose weight in the process. There is no quick way to loose weight because the calories were added on gradually and must also be lost gradually.

Before and after photos does not show the loss in calories. This can only be determined by measurement.

Before you buy exercise equipment;

Ensure that the equipment meets your unique needsEnsure that you can afford itEnsure that you have enough space to contain the equipment

An example of an exercise equipment is a stationary bicycle. It works when you sit or stand on it and cycle repeatedly though it doesn't move. I am skeptical about it because it may not help you burn a lot of calories except you use it for long periods of time.

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i need help with this!!​

Answers

Answer:

183

Explanation:

Ohm's Law states that Resistance = Voltage / Current, so:

220/1.2 = 183.333

If i apply mascara on a roller coaster, will my eyelashes fly off or get ruined?

Answers

Yes your eyelashes will get ruined if your putting it on while the ride is going

Which type of radiation has a slightly shorter wavelength and slightly higher frequency that visible light?
Your answer:
infrared radiation
ultra-violet radiation
x-rays
radio waves

Answers

Answer:

ultraviolet radiation

50 POINTS!!
What is the velocity of the mass after the force has stopped acting? only have to do question 10 but use the graph about to help. thanks!

Answers

The velocity of the mass after the force has stopped acting is 14 m/s.

What is the velocity of an object?

The velocity of an object is the speed at which the object is moving in a specified direction.

Momentum is related to velocity and mass by the formula:

Momentum = mass × velocity

The velocity of the mass after 8 seconds is first determined.

Area under force-time graph = change in linear momentum

Change in linear momentum = (1/2 × 2 × 6) + (6 × 4) + (1/3 ×2 × 6) = 36 kgm/s

Initial momentum = 18 kg × 12 m/s = 216 kgm/s

Final momentum = 216 + 36 = 252 kgm/s

Final Velocity = final momentum/mass

Velocity = 252/18 = 14 m/s

After 8 seconds, the force stops acting.

Therefore, the velocity of the mass after the force has stopped acting is 14 m/s.

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An inventor claims to have invented a perpetual motion machine, a machine that creates its own power and energy
allowing it to run forever. Which of the following laws best explains why this invention cannot be true?

A
the law of conservation of matter
B
the law of conservation of energy
C
newtons 3rd law
D
newtons 2nd law

Answers

Answer:

B. The law of conservation of energy

Explanation:

The law of conservation of energy states that energy can neither be created or destroyed which means that a perpetual motion machine, which creates its own power and energy, cannot be true since energy cannot be created.

During a certain chemical reaction, energy is transferred from the reaction system to its surroundings. Which statement is true in this situation? OA. The particles differ in potential energy instead of kinetic energy. B. The particles in the reaction system have more kinetic energy. C. The particles in the surroundings have more kinetic energy. OD. The kinetic energy of the particles in the system and its surroundings are the same.​

Answers

The particles in the reaction system have more kinetic energy than the surroundings.

What is exothermic reaction?

Exothermic reaction is a type of reaction in which energy is lost to the environment.

Internal energy (E) = kinetic energy (K.E) + potential energy (P.E)

Change in internal energy (ΔE) = K.E (particles) - K.E (surroundings)

Since energy is lost to the environment, we can conclude that the particles in the reaction system have more kinetic energy than the surroundings.

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A simulation shows whether changing various weather conditions increases the likelihood that a hurricane will form. which type of model is this?

Answers

The type of model used is most likely to be conceptual because it shows the relationship between cause and effect.

What is a simulation?

A simulation can be defined as a model which is designed and developed to imitate the operation of an existing (proposed) real-life system or natural phenomenon, so as to enhance the ability to study, analyze, and make informed decisions about it.

Generally, there are different types of simulation and these include the following:

Mathematical model.Conceptual model.Computer-generated model.Physical model.

In this scenario, the simulation which shows whether changing various weather conditions increases the likelihood that a hurricane will form is missing.

Thus, I would infer that the type of model used is most likely to be conceptual because it shows the relationship between cause and effect.

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A pendulum swings back and forth. If the mass of the pendulum is 3kg and it starts from a height of 1m.How much kinetic energy does it have at 0.5m?

Answers

From the principle of energy conservation, the kinetic energy of the pendulum at 0.5 m is 14.7 J.

What is a pendulum?

A pendulum swings back and forth and can be used to show the change of potential energy to kinetic energy and vice versa.

Given that the kinetic energy is converted to the potential energy; the potential energy at 0.5 m is 3 * 9.8 * 0.5 = 14.7 J.

Following the principle of energy conservation, the kinetic energy of the pendulum at 0.5 m is 14.7 J.

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Why is it not possible to achieve a higher resolution in the light microscope?.

Answers

Higher resolution cannot be achieved with a light microscope because wavelength of light is larger that wavelength of electrons.

What is light microscope?

Light microscope is defined as the type of microscope that makes use of visible light to magnify objects into images that can be observed.

The wavelength of light is larger than that of the electrons, therefore, higher resolution cannot be achieved with a light microscope.

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A source charge of 3 µc generates an electric field of 2.86 × 105 n/c at the location of a test charge. what is the distance, to the nearest hundredth, of the test charge from the source charge?

Answers

Hi there!

Recall the equation for the electric field produced by a point charge:

[tex]E = \frac{kQ}{r^2}[/tex]

E = Electric field (2.86 × 10⁵ N/C)
k = Coulomb's Constant (8.99 × 10⁹ Nm²/C²)

Q = Charge (3 × 10⁻⁶ C)
r = distance from center of charge (? m)

Rearrange the equation to solve for 'r'.

[tex]r^2 = \frac{kQ}{E}\\\\r = \sqrt\frac{kQ}{E}}}\\\\r = \sqrt{\frac{(8.99\times10^9)(3\times10^6)}{(2.86\times 10^5)}} = \boxed{0.307 m}[/tex]

Answer:

0.307

Explanation:

edge22

.89m/s A vehicle that starts to move from the rest gets an acceleration of 5m/s² within 2 seconds. Calculate the velocity and distance covered by the vehicle within the given time. [Ans: 10m/s, 10m]​

Answers

Explanation:

s = ?           u = 0m/s        v = ?         a = 5m/s²        t = 2s

v = u + at                  

  = 0 + (5 x 2)              

  = 10 m/s                    

s = ut + 1/2 at²

= (0)(2) +  x    [tex]\frac{1}{2}[/tex]  x 5 x 2²

= 10 m

Hope this helps!

Sound waves move the most quickly through which materiel?

A. Water

B. Iron

C. Milk

D. Air

Answers

Sound moves the quickest through air

Three cars, car x, car y, and car z, begin accelerating from rest, at the same time. car x is more massive than car y, which is more massive than car z. the net force exerted on each car is identical. after 10 seconds, which car has the most amount of momentum?

Answers

When the net force exerted on each car is identical. after 10 seconds, the amount of momentum is same for all cars.

What is impulse?

The change in momentum is equal to the product of impact force applied while colliding and time for that impact.

F. t = m (Vf -Vi)

where, Vf is the final velocity and Vi is the initial velocity.

For car X, Fx x t = Mx Vx

For car Y, Fy x t = My Vy

For car Z, Fz x t = Mz Vz

The force applied is same for all and the the time is also same equal to 10 seconds. The impulse is same for all the cars.

Thus, the three cars have same momentum.

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When two surfaces interact, some mechanical energy leaves the system as thermal energy
due to
a) surrounding heat
b) water
c) friction
d) fusion

Answers

When two surfaces interact, some mechanical energy leaves the system as thermal energy due to Friction.

Can you have curly hair even though your hair is short and soft? (Women)

Answers

It depends on the genetics. Having curly hair doesn’t have anything to do with hair length or texture.

In a belly-flop diving contest, the winner is the diver who makes the biggest splash upon hitting the water. the size
of the splash depends not only on the diver's style, but also on the amount of kinetic energy the diver has. consider
a contest in which each diver jumps from a 3.00-m platform. one diver has a mass of 136 kg and simply steps off
the platform. another diver has a mass of 100 kg and leaps upward from the platform. how high would the second
diver have to leap to make a competitive splash?

Answers

The second diver have to leap to make a competitive splash by 4.08 m high.

What is potential energy?

The energy by virtue of its position is called the potential energy.

PE = mgh

where, g = 9.81 m/s²

Given is the diver jumps from a 3.00-m platform. one diver has a mass of 136 kg and simply steps off the platform. another diver has a mass of 100 kg and leaps upward from the platform.

The potential energy of the first diver must be equal to the second diver.

P.E₁ = P.E₂

m₁gh₁ = m₂gh₂

Substitute the vales, we have

136 x 3  = 100 x h₂

h₂ = ₂4.08 m

Thus, the second diver need to leap by 4.08 m high.

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A student investigates the efficiency of a scale model of an electricity generating wind turbine using the equipment in figure 1.
the student changed the number of sales on the turbine and measures the power output from the turbine's generator. the air blower is supplied with 533w and has efficiency of 0.62.
when using two sails, the efficiency of turbine was 13%. calculate the power generated.

Answers

Based on the efficiency of the airblower of 62%, power generated by the airblower is 330.5 W.

What is efficiency of a machine?

Efficiency of a machine is a ratio of the work output and the work input of a machine.

Efficiency = work output/work input × 100%

The power generated by the airblower = ?

Power input to th air blower = 533 W

Efficiency = 0.62 or 62 %

Power generated by the airblower = Efficiency × work input/100

Power generated by the airblower = 62 × 533/100 = 330.5 W

Therefore, the power generated by the airblower is 330.5 W.

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What is the direction of a current that experiences the magnetic force shown above
east
south
north
west

Answers

Answer: Up

Explanation:

For an object on a flat surface, the force of gravity is 10 newtons downward and the normal force is 10 newtons upward. The applied force is 15 newtons toward the right and the frictional force is 12 newtons toward the left. What is the magnitude and direction of the net force?

3 newtons toward the left
3 newtons upward
3 newtons downward
3 newtons toward the right

Answers

3 Newtons toward the right because Newton’s second law:
F = ma
15N - 12N = ma
3N = ma
(With the right being the positive direction and the left the negative direction)

What is the direction of a vector that has the following components: x = -44 m y = -59 m

Answers

The direction of a vector that has the following components is 233°.

What is direction of a vector?

The direction of a vector is where its endpoint points. However, when at least one of the characteristics mentioned above is different, we say that the vectors are different.

In this case, this calculus will be:

[tex]tan\theta= \frac{59}{44} \\\theta= tan^{-1}(\frac{59}{44})\\ \theta= 233\°[/tex]

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The vector with components x = -44 m and y = -59 m has a direction of approximately 52.16 degrees counterclockwise from the positive x-axis.

The direction of a vector with components x = -44 m and y = -59 m can be determined using trigonometry.  In this case, we have:

x-component (x) = -44 m

y-component (y) = -59 m

We can use the inverse tangent function to find the angle.

The direction angle (θ) can be calculated as:

θ = arctan(y / x)

θ = arctan((-59 m) / (-44 m))

Calculating this expression:

θ ≈ arctan(1.341)

To find the actual angle, we can use a calculator or table to determine the inverse tangent of 1.341.

θ ≈ 52.16 degrees

Therefore, the direction of the vector is approximately 52.16 degrees in the counterclockwise direction from the positive x-axis.

The vector with components x = -44 m and y = -59 m has a direction of approximately 52.16 degrees counterclockwise from the positive x-axis.

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The magnitude of the angular momentum of the two-satellite system is best represented by

Answers

The magnitude of the angular momentum of the two-satellite system is best represented as, L=m₁v₁r₁-m₂v₂r₂.

What is angular momentum.?

The rotational analog of linear momentum is angular momentum also known as moment of momentum or rotational momentum.

It is significant in physics because it is a conserved quantity. the total angular momentum of a closed system remains constant. Both the direction and magnitude of angular momentum are conserved.

The magnitude of the angular momentum of the two-satellite system is best represented as;

L=∑mvr

L=m₁v₁r₁-m₂v₂r₂

Hence, the magnitude of the angular momentum of the two-satellite system is best represented as, L=m₁v₁r₁-m₂v₂r₂.

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Which two changes would decrease the gravitational force between two objects?
A. Increase the distance between the objects B. Increase the mass of both objects
C. Decrease the mass of one of the objects
D. Increase the mass of one of the objects
E. Decrease the distance between the objects

Answers

The gravitational force will decrease when we increase the distance between the objects and decrease the mass of both objects.

What are the factors affecting gravitational force?

The factors affecting gravitational force are the masses of the objects and the distance separating the objects.

The gravitational force increases with increase in mass and decreases with increase in distance of separation and vice versa.

Therefore, the gravitational force will decrease when we increase the distance between the objects and decrease the mass of both objects.

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Jacob bought a deluxe computer system for his home business. The system cost$2,395. The value of the computer system will depreciate at a rate of 12% a year.What will be the cash value of the computer system in 3 years? Round your answer tothe nearest dollar.O $287O $2108O $1632O $2682 Which of the following is most likely the next step in the series? Compare the properties of the four states of matter in terms of particle arrangement, particle motion, shape, size, and compressibility. How does receptive language or language comprehension develop? What are appropriate instructions for children of different ages? please help me!!!!!!!! will mark brainliest If the families in The Tragedy of Romeo and Juliet & Well Fly Away, gave their children freedom, would the results have been different? If the children had more control of their lives, would it have saved them from their downfalls? Find the slope of the line through the each pair of points(16, 14), (-2, 0) find the surface area of the rectangular prism A right square pyramid and its dimensions are shown below. One evening, the candy counter at the Cineplex sold 532 bucketsof popcorn for $1,489.50. A large bucket sells for $2.25 and ajumbo bucket sells for $3.75. How many jumbo buckets ofpopcorn were sold? Please help!! true or false? The sum of the difference is not always zero for any distribution consisting of n observations Give three reasons why it is important to have hci-based software programs. need this soon When is it important to do the right thing despite the law Evaluate the expression 3.2-4 How do you create depth on a piece of paper?A. Create a foreground, mid-ground, backgroundB. All answers applyC. Use a variety of sizesD. Overlap What is the exact value of cos (7pi/8) What are the values of a and b? O a 14, b=6 O a=14, b = 8 O a=17, b = 6 O a = 17, b = 8 Roger works part-time as a waiter at a pizza joint. He earns $9 per hour. How much does he earn for 20 hours of work? Vera is looking for vegetables for dinner. She purchases 2 5/8 pounds of baby potatoes and 1 1/2 pounds of green beans. If she uses a $10 bill to pay, what will her change be?Baby potatoes=$1.62 per pound and green beans=2.54 per pound Determine a matriz x sabendo que:(1 5) * X ( 6 8)