2.Find the magnitude and direction of the resultant velocity vector for the following perpendicular velocities: a. a fish swimming at 3.0 m/s relative to the water across a river that moves at 5.0 m/s b. a surfer traveling at 1.0 m/s relative to the water across a wave that is traveling at 6.0 m/s

Answers

Answer 1

Answer:

a. The magnitude of the resultant velocity vector of the fish is approximately 5.83 m/s

The direction of the resultant velocity vector of the fish is approximately 30.93° relative to the direction of the river

b. The magnitude of the resultant velocity vector of the surfer is approximately 6.083 m/s

The direction of the resultant velocity vector of the surfer is approximately 9.46° relative to the direction of the wave

Explanation:

a. The given parameters of the fish and the river are;

The speed with which the fish is swimming across the river, v₁ = 3.0 m/s

The velocity  with which the river is flowing, v₂ = 5.0 m/s

Therefore, in vector form, we have;

v₁ = 3.0·j

v₂ = 5.0·i

The resultant velocity, R = v₁ + v₂ = 5.0·i + 3.0·j

∴ R = 5.0·i + 3.0·j

The magnitude of the resultant velocity vector, [tex]\left | R \right |[/tex] = √(5.0² + 3.0²) =√34 ≈ 5.83

The magnitude of the resultant velocity vector,  of the fish,  [tex]\left | R \right |[/tex]  ≈ 5.83 m/s

The direction of the resultant velocity of the fish, θ = arctan(3.0/5.0) ≈ 30.93°

Therefore, The direction of the resultant velocity vector of the fish, θ ≈ 30.93° relative to the direction of the river

b. The given parameters of the surfer and the wave are;

The speed with which the surfer is travelling, v₁ = 1.0 m/s

The speed of the wave travelling across, v₂ = 6.0 m/s

Therefore, in vector form, we have;

v₁ = 1.0·j

v₂ = 6.0·i

The resultant velocity, R = v₁ + v₂ = 1.0·i + 6.0·j

∴ R = 1.0·i + 6.0·j

The magnitude of the resultant velocity of the surfer, [tex]\left | R \right |[/tex] = √(1.0² + 6.0²) =√37 ≈ 6.083

The magnitude of the resultant velocity vector of the surfer, [tex]\left | R \right |[/tex]  ≈ 6.083 m/s

The direction of the resultant velocity of the surfer, θ = arctan(1.0/6.0) ≈ 9.46°

Therefore, The direction of the resultant velocity vector of the surfer, θ ≈ 9.46° relative to the direction of the wave


Related Questions

what is meant by the fact that length of a object is 4 metre

Answers

Answer:

It simply means that the longest side of the object is 4 m that is 400cm..

Explanation:

___________

To open a soda can lid, a force of 50 N is applied to a car key, which acts as a lever. If the car key applies a force of 400 N to the lid, then the mechanical advantage of the car key is ___.

a 12
b 10
c 6
d 8

Answers

Explanation:

Given. Required

wo = 400N. MA=?

wi = 50N

Solution

MA = wo = 400N =8

wi. 50N

100 point question!! A driver begins to brake when her car is traveling at 15.0 m/s, and the car comes to a stop 4.0 s later. How much farther does the car go after the driver begins to brake, assuming constant acceleration?

Answers

Answer:

30 m

Explanation:

Let's list out the known variables that we are given in this question.

v₀ = 15 m/sv = 0 m/s t = 4 s

We are trying to solve for displacement in the x-direction.

Δx = ?

Find which constant acceleration equation contains all 4 of these variables.

[tex]\displaystyle \triangle x = \Big (\frac{v+v_0}{2} \Big ) t[/tex]

Plug the known values into the equation and solve for delta x.

[tex]\displaystyle \triangle x = \Big (\frac{0+15}{2} \Big ) \cdot 4[/tex] [tex]\displaystyle \triangle x = \Big (\frac{15}{2} \Big ) \cdot 4[/tex]   [tex]\displaystyle \triangle x =\frac{60}{2}[/tex] [tex]\triangle x = 30[/tex]

The car goes 30 m after the driver begins to brake.

Answer:

the answer should be 30 m

Explanation:

have a good day

A pipe that is open at both ends has a fundamental frequency of 320 Hz when the speed of sound in air is 334 m/s. What is the length of this pipe

Answers

Answer:

Length of pipe 0.5m

Explanation:

Step one

Given data

fundamental frequency of 320 Hz

n=1

Velocity v=334m/s

Note: the subsequent frequency of sound are a multiple of it fundamental frequency

Step two

Applying the formula we have

Fn=nv/2l

Substitute

320=1*334/2L

Cross multiply

320*2L=334

640L=334

Divide both sides by 640

L=334/640

L=0.5m

A student places two books on a table. One book weighs less than the other book
Which book has less potential energy (PE)? *
(10 Points)

Answers

The book that weighs less

The portion of a sound wave with higher-than-normal pressure is called a(n)________

Answers

Answer:

Condensation

Explanation:

Increased pressure is called condensation or compressions because they are regions of high air pressure whilst rarefractions are low air pressure.

What are the magnitude and direction of electric field at the center of square?

Answers

Answer:

hello the diagram related to this question is missing attached below is the missing diagram

Answer :

The magnitude of the electric field = 4KQ / L^2

direction = 45° east to south

Explanation:

The magnitude of the electric field = 4KQ / L^2

direction = 45° east to south

A force of 100.0N accelerates a 5.0 kg box at 15.0 m/s^2 along a level surface. Find the coefficient of sliding friction for the box. After that, how far will the box have gone after 5.0 seconds of pulling it?

Answers

By balancing the force, we get :

100 - Frictional Force = ma

100 - μmg = ma

100 - μ(5)(10) = (5)(15)

50μ = 25

μ = 0.5  

Distance travelled by box in 5 seconds is :

[tex]d = ut + \dfrac{at^2}{2}\\\\d = 0 + \dfrac{15\times 5^2}{2}\\\\d = 187.5\ m[/tex]

Hence, this is the required solution.

What happens to the temperature during an endothermic reaction? ANSWERS; The temperature stays constant. The temperature will decrease (get colder). The temperature will increase (get warmer)

Answers

Answer:

The temperature will decrease (get colder).

Explanation:

Enthalpy changes are heat changes accompanying physical and chemical changes. The enthalpy change is the difference between the sum of the heat contents of products and the sum of heat contents of reactants.

For an endothermic change, heat is absorbed for the reaction. The surrounding becomes colder at the end of the reaction and so is the reaction itself. The right choice is that the temperature will decrease.

The creation of electricity in a coil of a wire through the movement of a magnet is called what?

A) electromagnet
B) Magnetosphere
C) Magnetism
D) Electromagnetic Induction

Answers

Answer:

D. Electromagnetic Induction.

Explanation:

Just 4 questions, I’ll give brainiest and pts the questions are in the photo

Answers

Answer:

1. Divide the weight by speed of the people pushing it to get net force

2. Whether one side of the object is pushing harder or not you will get ur answer, for example if the left side is pushing 3 newtons to the right and the right side pushing 5 newtons to the left, the net force would be 2 newtons of force pushing left and if its an even amount of force then it will be 0

3. If one side of an object pushes harder than the other side, then the object will move in favor of the one who is pushing harder.

4. 200 newtons or 200N

Explanation:

Compare these two waves!!!! RIGHT NOW I DONT HAVE ALOT OF TIME

Answers

Answer:

wave D has higher frequency then wave c

wave C has longer wavelength

wave D has a higher pitch

Explanation:

Answer: Isn't frequency the amount of times something happened? So I'd say A also E

Explanation:

(Don't rely I'm not that smart)

The highest point on the American eagle roller coaster is 39 meters above the ground. Find the potential energy of a 625 kg roller coaster car that is at its highest point on the track. Use g=10m/s

Answers

Answer:

243.75kJ

Explanation:

Step one:

Given parameters

Height= 39meters

mass= 625g

g= 10m/s

Required

The potential energy PE

Step two:

the expression for the potential energy is given as

PE=mgh

PE=625*10*39

PE=243750 J

PE=243.75kJ

Someone can help me pls

Is physical science class

Answers

Answer:

I can't see the picture

Explanation:

A 75-kg man is riding in a 30-kg cart at 2.0 m/s. He jumps off in such a way as to land on the ground with no horizontal velocity. The resulting change in speed of the cart is:

Answers

Answer:

Explanation:

We shall apply law of conservation of momentum .

M and m be mass of man and boat . V and v be velocity of man and boat .

MV = mv

75 V = 30 v

2 .0 m/s is relative velocity of man wrt boat .

Given v + V = 2

V = 2 - v

75 ( 2 - v )  = 30 v

150 - 75 v = 30 v

150 = 105 v

v = 1.43 m /s


A student slides a rock along the flat surface of a frozen pond. The rock starts to slow down after several seconds. Construct an explanation using Newton's Laws that describes why the rock begins to decelerate.

Answers

Answer:

When the student slides the rock along the flat surface of the frozen pond, according to Newton's second law of motion, the rock is given an initial velocity of motion. According to Newton's first law of motion, the rock will continue to slide indefinitely unless it is slowed or stopped by an opposite force. According to Newton's third law, the rock experiences a reaction force from the force of friction of the ice which slows it down at a rate given by Newton's second law of motion and the rock is seen to decelerate

Explanation:

Newton's first law of motion, states that an object will remain at rest or maintain a uniform motion in a straight line, unless impressed upon by an external force

Newton's second law states that an applied force is equal to the rate of change of momentum it produces

Newton's third law states action and reaction are equal and opposite.

The propeller of an aircraft is spinning at 10 rev/s when the pilot shuts off the engine. The propeller reduces its angular velocity at a constant 2.0rad/s2 for a time period of 40 s. What is the rotation rate of the propeller in 40 s

Answers

One revolution of the propeller corresponds to a rotation of 2π radians, so that the propeller has an initial angular velocity of

10 rev/s = (10 rev/s) • (2π rad/rev) = 20π rad/s

The propeller thus has an angular velocity ω at time t of

ω = 20π rad/s - (2.0 rad/s²) t

so that at t = 40 s, its angular speed is reduced to

20π rad/s - (2.0 rad/s²) (40 s) = (20π - 80) rad/s

Convert this to a rotation rate by dividing this result by 2π :

(20π - 80) rad/s = ((20π - 80) rad/s) • (1/(2π) rev/rad) ≈ -2.73 rev/s

which would suggest that the propeller has started to turn in the opposite direction at a rate of 2.73 rev/s.

8. A jaguar runs 4200 meters at the speed of 400 meters per minute. How
much time did this take? (You can use the speed triangle if it helps! Write
the formula, plug in the numbers, and write the answer with a box around it

Answers

Answer:

10.5min

Explanation:

Given parameters:

Distance  = 4200m

Speed  = 400m/min

Unknown:

Time taken for this run  = ?

Solution:

Speed is the distance divided by the time taken.

   Speed  = [tex]\frac{distance }{time }[/tex]  

  Time  = [tex]\frac{distance}{speed }[/tex]  

 Now insert the parameters and solve;

 Time  = [tex]\frac{4200}{400}[/tex]   = 10.5min

Plz help me

Thank you so much

Answers

Answer:

I believe its the blue, sorry if I'm wrong

If you have a mass of 15kg , what is your weight on earth?

Answers

I believe 33 but im not sure

2. A 0.8 kg tetherball hangs on the end of a cord. It is hit by a child and rises 2.1 m above the ground. a. What is the maximum gravitational potential energy of the ball?

Answers

Answer:

E = 16.464 J

Explanation:

Given that,

Mass of tetherball, m = 0.8 kg

It is hit by a child and rises 2.1 m above the ground, h = 21. m

We need to find the maximum gravitational potential energy of the ball. The formula for the gravitational potential energy is given by :

E = mgh

g is acceleration due to gravity

E = 0.8 kg × 9.8 m/s² × 2.1 m

= 16.464 J

So, the maximum potential energy of the ball is 16.464 J.

A friction-less pulley in the shape of a solid cylinder of mass 2.90 kg and radius 30.0 cm is used to draw water from a well. A bucket of mass 1.90 kg is attached to a cord wrapped around the cylinder. If the bucket starts from rest at the top of the well and falls for 3.70 seconds before hitting the water, how deep is the well

Answers

Answer:

[tex]s=-38.332m[/tex]

Explanation:

From the question we are told that

Cylinder of mass [tex]m=2.90 kg[/tex]

Radius [tex]R=30.0 m[/tex]

Mass of bucket [tex]M_b= 1.90 kg[/tex]

Fall time [tex]T_f= 3.70 seconds[/tex]

Generally the tension the bucket is mathematically given by

[tex]T-mg=ma[/tex]

For cylinder

 [tex]T=I*\alpha[/tex]

 where

[tex]I=1/2mR^2[/tex]

[tex]a=R*\alpha[/tex]

Giving

[tex]T=-1/2mR\alpha[/tex]

Therefore

[tex]a=\frac{-mg}{m+1/2m}[/tex]

[tex]a=\frac{-(1.9*9.81)}{1.9+0.5*(2.9)}[/tex]

[tex]a=-5.563880597 \approx -5.6m/s^2[/tex]

Generally the Newton's equation for motion is mathematically represented as

 [tex]s=ut+1/2at^2[/tex]

 [tex]s=0(3)+1/2*-5.6*(3.7)^2[/tex]

[tex]s=-38.332m[/tex]

what do you think president biden should say in his inaugural speech to unify the country’s

Answers

Answer:

If you haven't heard, Joe Biden would like to unite America.

It was a focus of the Democrat's campaign. It's even the theme of Biden's inauguration — "America United."

The inaugural committee says the slogan "reflects the beginning of a new national journey that restores the soul of America, brings the country together, and creates a path to a brighter future."

If only it were that easy.

When Biden is sworn in at 12:01 p.m. ET Wednesday as the 46th president of the United States, it will be with the understanding that the country is as divided as it's ever been, as pessimistic as it's been in three decades and facing health, economic and racial crises.

It will also be a very different inauguration than has ever been seen in U.S. history. Four years ago, President Trump was arguing over his crowd size compared with Barack Obama's record-setting turnout of supporters on the National Mall.

Explanation:

btw i would rather have him as president

The only planet in the solar system with the temperature that can support life is

Answers

Answer:

earth

Explanation:

its the only planet.

The images below are models that represent the reactants and products of a chemical reaction.

Reactants Products



Based on the models, was mass conserved in this chemical reaction?
A.
No, because the purple atom formed two bonds in its reactant molecule and only one bond in its product molecule.
B.
No, because the reactants are made up of different types of molecules than the products.
C.
Yes, because the number of reactant molecules is the same as the number of product molecules.
D.
Yes, because the number of each type of atom is the same in the products as it is in the reactants.

Answers

Explanation:

In a chemical reaction, when mass is conserved , the number of atoms or moles of the reactants must be equal to the number of moles or atoms in the products side.

From the diagram, we should carefully look to see if the number of atoms that makes up the reactants are equal to those on the product side.

 For example:

      A + B → AB

Here, mass is conserved because, on the reactant side, we have 1 atom of A and on the product side we have 1 atom of A

For B, on the reactant side, we have 1 atom of B and on the product side, we have 1 atom of B.

Answer:

Yes, because the number of each type of atom is the same in the products as it is in the reactants.

Explanation:

A cyclist travelled 32 kilometers for both the 1st and 2nd hours. He took a 30 minute break to eat his lunch. He then travelled 15 kilometers for the final 3rd hour. What is the cyclist's average speed?

Answers

Answer:

The cyclist's average speed is 13.43 [tex]\frac{km}{h}[/tex]

Explanation:

Speed ​​is a quantity that expresses the relationship between the space traveled by an object and the time used for it. That is, speed is the magnitude that expresses the variation in position of an object and as a function of time, which would be the same as saying that it is the distance traveled by an object in the unit of time.

Average speed relates the change in position to the time taken to effect that change:

[tex]speed=\frac{change in position}{time} =\frac{distance}{time}[/tex]

In this case:

total distance traveled= 32 km + 15 km= 47 kmtotal time=  3 hours that the cyclist travels + 30 minutes of rest = 3 hours + 0.5 hours (being 60 minutes equal to 1 hour, then 30 minutes equals 0.5 hours) = 3.5 hours

Replacing:

[tex]speed=\frac{47 km}{3.5 h}[/tex]

and solving, you get:

speed= 13.43 [tex]\frac{km}{h}[/tex]

The cyclist's average speed is 13.43 [tex]\frac{km}{h}[/tex]

According to the cell theory, which statement is correct? A) Viruses are true cells. B) Cells are basically unlike in structure. C) Mitochondria are found only in plant cells. D) Cells come from preexisting cells.

Answers

Answer:

D) Cells come from preexisting cells.

Explanation:

The universal i.e widely accepted cell theory was proposed in 1800's by the contribution of three scientists namely Theodor Schwann, Matthias Schleiden, and Rudolf Virchow. They came together and proposed three main components that make up the cell theory today. The components are:

- All living things are composed of one or more cells.

- Cell is the basic and fundamental unit of life

- All cells come from preexisting cells.

Based on these three components of the cell theory, the statement that: "Cells come from preexisting cells" in the options is correct.

A child shoots a ball with a slingshot off the roof of a skyscraper at an angle paralle with the ground. The ball has an initial velocity of 10 m/s. After the ball travels for 5 seconds how much fast will it be traveling? ((I don't know need help​

Answers

Answer:

Not accounting for friction, the ball would be falling at 14.0 m/s

Explanation:

Without a coefficient of kinetic friction being provided, we'll have to assume zero friction between the ball and the air.

In that case, the ball's horizontal speed will remain 10 m/s.  To find it's velocity in five seconds then, we just need to take gravity into account.

Let's assume acceleration from gravity is 9.8 m/s².  We can simply multiply that by five seconds to find out how fast it's going at that point:

[tex]9.8\frac{m}{s^2} \times 5s\\= 49 \frac{m}{s}[/tex]

So at five seconds, the ball is moving horizontally at 10 m/s and vertically at 479 m/s.

Now we can simply take the hypotenuse between those two vectors to get the actual speed:

[tex]s = \sqrt{9.8^2 + 10^2}\frac{m}{s}\\s = \sqrt{96.04 + 100}\frac{m}{s}\\s = \sqrt{196.04}\frac{m}{s}\\s = 14.0 \frac{m}{s}\\[/tex]

So lacking air to slow it down, the ball would be going at approximately 14.0 metres per second.

Please Help Me!!!........​

Answers

Answer:

B: A  material with relatively weak bonds between it's particle can be shped in to a thin sheet.

Explanation:

An 190,000 W engine can accelerate from rest to a top speed in 9 s.
How much work did the engine do?

Answers

We have that the work the engine did is

w=1710000J

From the Question we are told that

Power  P=190,000 W

T= 9 s

Generally the equation for the work   is mathematically given as

[tex]w=pt\\\\w=190,000*9s\\\\w=1710000J[/tex]

For more information on this visit

https://brainly.com/question/21231013?referrer=searchResults

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