The English Channel is 35 km wide at its narrowest point, which is where most swimmers attempt to cross north to south from England to France. The current across this portion of the English Channel runs at about 2 km/h east to west.

a. If a swimmer has a relative velocity to the shore of 3 km/h north to south, how long will it take her to cross the 35 km distance?

b. What must be her velocity relative to the water if she has a velocity of 3 km/h north to south relative to the shore?

Answers

Answer 1

Answer:

a.) 20.4 h

b.) 3.46 km/h

Explanation:

Given that an English Channel is 35 km wide at its narrowest point, which is where most swimmers attempt to cross north to south from England to France. The current across this portion of the English Channel runs at about 2 km/h east to west.

a.) If a swimmer has a relative velocity to the shore of 3 km/h north to south, The resultant velocity (Vr) will be achieved by using Pythagoras theorem  

Vr = [tex]\sqrt{2^{2} + 3^{2} }[/tex]

Vr = [tex]\sqrt{4 + 9}[/tex]

Vr = [tex]\sqrt{12}[/tex]

Vr = 3.46 m/s

To get how long it take her to cross the 35 km distance, Let us first find acceleration by using third equation of motion.

[tex]V^{2} = U^{2} + 2aS[/tex]

Where U = 0

Substitute all the parameters into the equation

[tex]3.46^{2} = 2 x a x 35[/tex]

11.97 = 70a

a = 11.97/70

a = 0.17 km/h^2

The time can be found by using equation

V = U + at

let U = 0

3.46 = 0.17t

t = 3.46/0.17

t = 20.35h

b. What must be her velocity relative to the water if she has a velocity of 3 km/h north to south relative to the shore?

her velocity relative to the water will be

Vr = [tex]\sqrt{2^{2} + 3^{2} }[/tex]

Vr = [tex]\sqrt{4 + 9}[/tex]

Vr = [tex]\sqrt{12}[/tex]

Vr = 3.46 m/s


Related Questions

know the types of peer pressure describe all of them​

Answers

Answer:

Spoken Peer Pressure

Positive Peer Pressure

Direct Peer Pressure

Negative Peer Pressure

Positive Peer Pressure

Unspoken Peer Pressure

Indirect Peer Pressure

Sorry this is all I know

Hope this Helps!

Una fuerza resultante constante de módulo igual a 40 [N], actúa sobre un cuerpo que se mueve en línea recta.¿Que distancia ha recorrido ese cuerpo si su energía cinética varió en 8 [J]?

Answers

Responder:

0,2 m

Explicación:

Usando la fórmula para calcular el trabajo realizado expresada como;

Workdone = Fuerza * Distancia

Dado

Fuerza = 40N

Trabajo realizado = 8 julios

Necesario

Distancia

Sustituya los parámetros dados en la fórmula como se muestra;

Distancia = Trabajo / Fuerza

Distancia = 8/40

Distancia = 0,2 m

Por tanto, el cuerpo recorrió una distancia de 0,2 m

A annoying small child is dropped off a 16.0 m cliff (for complaining about homework). The
speed the child will reach right before they hit the ground is
m/s - Don't worry,
the child will not sustain life threatening injuries as they ended up doing all their homework
and therefore was saved by the magical Physics Creature.
(Record your answer to correct significant digits).

Answers

Answer:

i would be that annoying child lol

Explanation:

but i just needed this for points sorry :>

HEY GUYS IS THIS TRUE OR FALSE????????

Answers

answer:
false

explanation:

Disponemos de datos de presión y volumen de tres situaciones de un gas ideal que se han medido manteniendo la temperatura del gas constante representa los valores de un gráfico p-v expresa matemáticamente la ley de Boyle-Mariotte y calcula el valor de la constante

Answers

Answer:

Explanation:

This is an exercise in thermodynamics, the ideal gas equation is

          PV = n R T

In this case the temperature is constant, so

         n R T = cte

throughout the experiment

           

We can write the relationship for the three points 1, 2 and 3

         P₁ V₁ = P₂ V₂ = P₃ V₃ = cte

In the attached graph we can see a graph of this relationship

the data for this graph are

 V(m³)     P ( Pa)

  V₀          P₀

  V₀/2    2 P₀

  V₀/4    4 P₀

for the graph, let it be assumed that V₀ = 1 and P₀ = 1

 

To calculate the value of the constant s, you must know the moles of gas and the temperature at which the experiment is carried out, for example, if we have a mole of gas and room temperature (T = 300K), the constant is

       n R T = 1   8,314  300

       n R T = 2492.2 J

Charlie's father built a tree house in their backyard. He constructed a spiral staircase around the tree trunk and installed a ladder. Which will involve more work in climbing up the tree house from the ground?

Answers

Answer:

The spiral staircase will require more work

Explanation:

This is because, work can be calculated as force (which is mass of the individual climbing the stairs in this case) multiplied by distance (or length) of the stairs. The only variable that changes in the work done while climbing any of the two (ladder or spiral staircase) is the distance and it is obvious the length of the spiral staircase will be longer; thus the spiral staircase will involve more work.

Select the correct answer from each drop-down menu.
What causes atoms to form covalent bonds?
The number of
In a covalent bond, two atoms are held together by the attraction between
covalent bonds that an atom can form depends on the number of
in the atom.

Answers

Answer:

YES the first option

Explanation:

two atom are held together

Answer:

In a covalent bond, two atoms are held together by the attraction between each atom and the shared electrons. The number of covalent bonds that an atom can form depends on the number of valence electrons in the atom.

In a physics lab, students take a long piece of string and cut it into two unequal pieces. One piece is used to suspend a large weight. The second piece is tied to the bottom of the weight as seen in the diagram below. Student 1 predicts that the upper string will always break first since it has to support the weight and the applied force, while Student 2 disagrees and predicts that the shorter piece of string will always break first if you pull slowly but with enough force to exceed the strength of the string.

(a) Which aspect(s) of Student 1’s reasoning, if any, are correct? Explain your answer.


(b) Which aspect(s) of Student 2’s reasoning, if any, are correct? Explain your answer.


(c) Which aspect(s) of both Student 1’s and 2’s reasoning, if any, are incorrect? Explain your answer.

(d) The experiment is performed and both students are surprised to learn that whether
the upper or lower string breaks first depends on whether you pull slowly or with a
sudden pull. Resolve the two lines of reasoning of Student 1 and Student 2 by
explaining the results of the experiment in a clear, concise paragraph.

Answers

Answer:

(a) The aspect of the upper string supporting the weight and the applied force

Student 1 is correct because the upper string is the source of support of the large weight and the force applied to the short string reacts at the support of the long string

(b) The aspect of Student's (2) reasoning that is correct is that the shorter piece of string will always break first, however, the statement is only true for sudden pull due to the increased force experienced by the shorter string from a more rapid change in momentum

(c) The aspect of Student 1's statement that is incorrect is the that the upper string will always break first

The aspect of Student 2's statement that is incorrect is the that the shorter piece of string will always break first

(d) A string will break when subject to a force equivalent to its breaking force. The force experienced by the string increases as the rate of pull (suddenness) increases and the suddenness increases inversely with the length of the string, as such the shorter lower string will break first from a sudden pull before the force of the pull is completely transmitted to the upper string. Whereby the lower string is slowly pulled, the force is evenly transmitted to the upper string which is then taking up the load of the weight and the applied force together and is likely to break first

Explanation:

How much net force must Mrs. McD’s 30,000 kg jet plane develop to achieve an acceleration of 1.5 m/s2?

Answers

F = MA
30,000 kg * 1.5 m/s^2 = 45,000 N

If an object has a fast velocity, the dots on a ticker tape diagram will be _____.

very long
far apart
very short
close together

Answers

Answer:

If an object has a fast velocity, the dots on a ticker tape diagram will be far apart.

I’m pretty sure the answer is “very long”

A dart is thrown horizontally at a target's center that is 5.00\,\text m5.00m5, point, 00, start text, m, end text away. The dart hits the target 0.150\,\text m0.150m0, point, 150, start text, m, end text below the target's center.What was the initial horizontal velocity of the dart?

Answers

Answer:

Explanation:

Given

the range = 5.00m (distance moved in horizontal direction)

Height = 0.150m

Required

Initial velocity of the dart

Using the formula for calculating range of a projectile;

R = U√2H/g

5 = U√2(0.15)/9.8

5 = U√0.0306

5 = 0.1749U

U = 5/0.1749

U = 28.59m/s

Hence the initial horizontal velocity of the dart is 28.59m/s

Answer:

28.59

Explanation:

khan academy


A truck moves 30 km West, and then 40 km North, and then travels in a straight path back to its starting
point. The distance travelled by the truck is km and its displacement is
km

Answers

Distance = (30+40+50) = 120 km

It's back where it started, so displacement = zero

The distance traveled by truck is equal to 70 km and its displacement is 50 km.

What are distance and displacement?

The distance of an object can be described as the total path traveled by an object. It is a scalar quantity as it has only magnitude, not direction. The distance is always positive, it can never be zero.

The displacement can be described as the shortest distance between two points. The displacement is a vector quantity with both direction and magnitude. The displacement of an object can be positive, negative, or zero and can increase or decrease with time.

Given, a truck moves 30 km along AB in the West as shown in the attached figure below, and then 40 km North along BC.

The distance of the truck will be = AB + BC = 30 + 40 = 70Km

The displacement (AC) can be calculated by using Pythagoras' theorem:

AC² = AB² + BC²

AC² = (30)² + (40)²

AC² = 2500

AC = 50 Km

Therefore, the distance is 70 Km and the displacement of the truck is 50 Km.

Learn more about distance and displacement, here:

https://brainly.com/question/3243551

#SPJ5

Four solutes are added to a solvent. All solutes have the same mass and solubility. The surface areas of four solutes are 2 mm2, 4 mm2, 6 mm2, and 10 mm2. Which solute will dissolve the quickest? 2 mm2 4 mm2 6 mm2 10 mm2

Answers

Answer:

The correct answer is D.) 10 mm2

Explanation:

i just did the test on edge 2020 and got it right

If four solutes that have the same mass and solubility are added to a solvent, the solute that will dissolve the quickest is 10mm².

What is solubility?

Solubility refers to the ability of a substance called solute to form solution with another substance called solvent.

Solubility is dependent on the surface area of the solute as solutes with larger surface area tends to dissolve faster in a solvent and vice versa.

Therefore, this means that if four solutes that have the same mass and solubility are added to a solvent, the solute that will dissolve the quickest is 10mm².

Learn more about solubility at: https://brainly.com/question/15560070

Convert 318 meters per second to kilometers per hour

Answers

Answer:

1144.8

Explanation:

1 meter per second is equal to 3.6 kilometers per hour

Using a force of 10 N, you
push a shopping cart 10 m.
How much work did
you
do?

Answers

Answer:

100 J

Explanation:

The work done by an object can be found by using the formula

workdone = force × distance

From the question we have

workdone = 10 × 10

We have the final answer as

100 J

Hope this helps you

Plz help plllzzzzzzzz

Answers

im trying to answer but it won’t let me:(

The path of a projectile is called a ???

Answers

Answer:

Projectile motion is a form of motion where an object moves in parabolic path; the path that the object follows is called its trajectory.

Explanation:

if a car has traveled 24km in 2 hours, what is the average speed?

Answers

Answer:

12

Explanation:

----------------............

What is the typical response of people to a government that abuses them if they are used to that government?

Answers

Answer:

when a government abuses its power its called tyranny and people might try to overthrow the government

EARTH SPACE SCIENCE.

I NEED HELP ASAP DUE TODAY. PLEASE 20 POINTS

Using the topographic map above, match the description to the letter that it represents.

Highest point on the map-
[ Select ]

Stream flowing to the East-
[ Select ]

Letter near the steepest slope-
[ Select ]

Letter near the flattest area-
[ Select ]

Stream flowing to the North- F

Answers

Answer:

c,e,f,d

Explanation:

In a transverse wave wavelength can be measured as the distance between a. Two adjacent crests. b. A crest and the adjacent trough. c. A crest and the resting position. d.None of the above

Answers

Answer:

a)Two adjacent crests

Explanation:

Transverse wave is a moving wave that

in which the point of oscillation is at right angle to the direction of the wave. The particle of the medium of transverse wave usually vibrate at right angle to the wave's direction in up and down movement. Wavelength can be measured in the direction the wave is going can defined as the distance between two successive crest of the particular wave. It can be calculated as Wavelength= velocity/ frequency. Which means where there is higher frequency of the wave, then there will be shorter wavelength.

Hence, transverse wave wavelength can be measured as the distance between Two adjacent crests.

CHECK THE ATTACHMENT FOR THE WAVE FIQURE

know the reasons why people have conflict​

Answers

Answer:

just to have conflict

Explanation:

Answer:

·Some people find enjoyment in conflict. (Negative people and bullies)

·Sometimes the only thing that makes that person feel food is to throw people down.

·Conflict happens when two people disagree.

Explanation:

These are just some but there are many more :)

Hope this Helps

:D


A baseball bat strikes a baseball of mass that is at rest, and as a result the baseball files away from the bat. The kinetic energy gained by the
baseball as it leaves the bat is due to the
(A) loss of mass after the ball is hit.
(B) gain in potential energy as the ball rises to the peak of its trajectory
(C) loss of potential energy of the ball as it falls back to the ground
(D) work done by the bat on the ball

Answers

Answer:

The correct option is D

Explanation:

When an object at rest is acted upon by an external force, the motion gained (of the body) will proceed in the direction of the force. This is caused by the workdone by the bat on the ball. The motion gained mentioned earlier is the kinetic energy.

Kinetic energy can be described as the energy in a moving object.

Answer:

(D) work done by the bat on the ball

Explanation:

The principle of work-energy theorem, states that work done by the sum of all the forces acting on an object, is equal to the gain in the kinetic energy of the object.

When the baseball bat strikes the baseball which causes a displacement in the initial position of the baseball, work is said to be done which is equal to the change in the kinetic energy of the baseball.

Thus, The kinetic energy gained by the baseball as it leaves the bat is due to the work done by the bat on the ball.

please help
im on my sisters acc btw lol

Answers

Answer:

Dumbell flys - Pectoral

One Arm Rows - Latissimus Dorsi (Lat)

Pushdowns - Triceps

Machine Back Press - Shoulders

Explanation:

What allows us to categorize rocks into the three rock types: Igneous, Sedimentary, and Metamorphic?
Whether or not the rock melts
Involvement of sediment
Process of formation
O Magma or weathering.

Answers

Answer:process of formation

Explanation:

PLEASE HELP ME QUICKLY!!!!!!!!!!!!!!​

Answers

Answer:

I think thats the correct answer

Explanation:

please help lol
im on my sisters acc btw

Answers

Answer:

sitting leg curls= hamstring

shrugs=shoulders

machine curls=biceps

bench press= pectorals

How do the individual forces compare when the rider experiences a sensation being lighter than his normal weight ? What is the acceleration direction when this occurs ?

Answers

Answer:

When the elevator is accelerating downward, the person feels lighter due to the downward normal force being less than the person's weight.

Explanation:

A person riding in an elevator subjected to a series of unbalanced forces depending on the direction the elevator is travelling.

Two forces are acting on the person; the force of gravity and the upward normal force from the elevator.

When the elevator is going upwards with acceleration a, the person feels heavier than his normal weight, due to the upward normal force being greater than the person's weight. N = mg + ma

When the elevator is moving downwards with acceleration a, the person feels lighter due to the downward normal force being less than the person's weight. N = mg - ma

However, when the elevator is moving up or down at constant velocity ie. acceleration a = 0, the person experience a normal force equal to weight. N = mg

When the elevator is moving downwards with acceleration a = g, the person experiences weightlessness. N = (mg - mg) = 0

Which quantities define momentum?​

Answers

Answer:

velocity and mass

Explanation:

:) apek

fill in the word that completes the statement. the direction of the magnetic field produced by an electric current will change when the direction of the _____ changes​

Answers

Answer:

current trust me thoo pls

Answer:

Current

Explanation:

Right on edge ✅

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