m/s
3. A ferryboat accelerates from rest at a rate of 0.500 m/s2.
a. What is the velocity of the boat after it has traveled 4.75 m?
b. What is the velocity if the boat has traveled 50 m?

Answers

Answer 1

Answer:

a. Final velocity, V = 2.179 m/s.  

b. Final velocity, V = 7.071 m/s.

Explanation:

Given the following data;

Acceleration = 0.500m/s²

a. To find the velocity of the boat after it has traveled 4.75 m

Since it started from rest, initial velocity is equal to 0m/s.

Now, we would use the third equation of motion to find the final velocity.

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

Where;

V represents the final velocity measured in meter per seconds. U represents the initial velocity measured in meter per seconds. a represents acceleration measured in meters per seconds square. S represents the displacement measured in meters.

Substituting into the equation, we have;

[tex] V^{2} = 0^{2} + 2*0.500*4.75 [/tex]

[tex] V^{2} = 4.75 [/tex]

Taking the square root, we have;

[tex] V^{2} = \sqrt {4.75}[/tex]

Final velocity, V = 2.179 m/s.

b. To find the velocity if the boat has traveled 50 m.

[tex] V^{2} = 0^{2} + 2*0.500*50 [/tex]

[tex] V^{2} = 50 [/tex]

Taking the square root, we have;

[tex] V^{2} = \sqrt {50}[/tex]

Final velocity, V = 7.071 m/s.


Related Questions

The acceleration due to gravity on the moon is about 1.6 m/s. If you weigh 539N on earth, how much would you way on the moon.

Answers

Answer:

Weight = 88N

Explanation:

Given the following data;

Acceleration due to gravity on moon = 1.6m/s²

Weight on earth = 539N

To find the weight on moon.

First of all, we would calculate the mass;

Weight = mass * acceleration due to gravity.

We know that acceleration due to gravity on earth is equal to 9.8m/s²

Substituting into the equation, we have;

539 = mass * 9.8

Mass = 539/9.8

Mass = 55 kg.

Now, we solve for the weight on moon.

Weight = 55 * 1.6

Weight = 88N

Please hurry please

What is the height of the counter where a 4 kg fruit basket sits that has 30 J of gravitational potential energy? h= GPE/am

Answers

Answer:

0.765m

Explanation:

gravitational potential energy GPE = mass * acceleration due to gravity * height

Given

GPE = 30Joules

Mass m = 4kg

acceleration = 9.8m/s²

Required

Height h

From the formula

h = GPE/mg

h = 30/4(9.8)

h = 30/39.2

h = 0.765m\

Hence the height of the counter is 0.765m

Skater begins to spend with arms held out at shoulder height. The skater wants to match the speed of the spin to the beat of the music. How does the skater use knowledge of the conservation of momentum to do this?

Answers

Answer:

the moment of inertia with the arms extended is Io and when the arms are lowered the moment

I₀/I > 1    ⇒   w > w₀

Explanation:

The angular momentum is conserved if the external torques in the system are zero, this is achieved because the friction with the ice is very small,

           L₀ = L_f

           I₀ w₀ = I w

          w =[tex]\frac{I_o}{I}[/tex] w₀

where we see that the angular velocity changes according to the relation of the angular moments, if we approximate the body as a cylinder with two point charges, weight of the arms

          I₀ = I_cylinder + 2 m r²

where r is the distance from the center of mass of the arms to the axis of rotation, the moment of inertia of the cylinder does not change, therefore changing the distance of the arms changes the moment of inertia.

If we say that the moment of inertia with the arms extended is Io and when the arms are lowered the moment will be

        I <I₀

        I₀/I > 1    ⇒   w > w₀

therefore the angular velocity (rotations) must increase

in this way the skater can adjust his spin speed to the musician.

Stored digital data are easily changed. How could this be a disadvantage?
A. Changing data results in too much data to be stored in most
computers
B. Easily changed data are difficult to protect with a security system.
c. Once a change is made, the change is permanent.
D. True information in the digital data can be changed to false
information
SUBMIT
I need help on this

Answers

The disadvantage of  easily changeable  digital data is: true information in the digital data can be changed to false information. Hence, option (D) is correct.

What is digital data?

Digital data, in information theory and information systems, is information represented as a string of discrete symbols, each of which can take on one of only a finite number of values from some alphabet, such as letters or digits.

An example is a text document, which consists of a string of alphanumeric characters. The most common form of digital data in modern information systems is binary data.

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Answer:  The answer is  D.  

Explanation:   I took the test

Need help ASAP
Thanks + BRAINLIST only for correct answer

1.Cell phones convert sound waves into______waves.
-light waves
-sound waves
-radio waves

2.Electromagnetic waves used in cell phone communications are called?
-microwave
-radio wave
-infrared
-all of the above

3.To send out a radio signal far and wide...it is called?
-broadcast
-casting
-antenna

Answers

Answer:

answer my question

Explanation:

Mhm yeah correct I think yeah yeah lol

Two stoves were turned off at the same time, and they both started to cool down. The following equation gives the temperature of the first stove (in degrees Celsius) as a function of time (in minutes). T = 180-1.55mT=180−1.55mT, equals, 180, minus, 1, point, 55, m The graph of the temperature of the second stove (in degrees Celsius) as a function of time (in minutes) is shown below. Which stove started at a higher temperature?

Answers

Answer:

b & b

Explanation:

Two stoves were turned off at the same time, and they both started to cool down.

The following equation gives the temperature of the first stove (in degrees Celsius) as a function of time (in minutes).

T = 180-1.55mT=180−1.55mT, equals, 180, minus, 1, point, 55, m

The graph of the temperature of the second stove (in degrees Celsius) as a function of time (in minutes) is shown below.

Which stove started at a higher temperature?

Choose 1 answer:

Choose 1 answer:

(Choice A, Incorrect)

INCORRECT

The first stove

(Choice B, Checked, Correct)

CORRECT (SELECTED)

The second stove

(Choice C, Incorrect)

INCORRECT

The stoves started at the same temperature

Which stove cooled down at a greater rate?

Choose 1 answer:

Choose 1 answer:

(Choice A, Incorrect)

INCORRECT

The first stove

(Choice B, Checked, Correct)

CORRECT (SELECTED)

The second stove

(Choice C, Incorrect)

INCORRECT

The stoves cooled down at the same rate

B would be correct and so would be on the 2nd part

plz help i have until 1.15 anybody plz ????????

Answers

Answer:

water boiled and turned into gas

Explanation:

Robert hook used an early microscope to observed a cork sample. How did this help contribute to cell theory?

Answers

Answer:

Robert Hooke used an early microscope to observe a cork sample. How did this help contribute to cell theory? It helped to show that cells contain water. ... It helped to show that some cells are visible to the naked eye.

Explanation:

If your teacher checks if it was copied just put it in your on words

James is planning a science fair project on sound waves. He places an alarm inside a jar which he can remove the
air from. Before he removes the air, he can hear the alarm ringing. After he removes the alr, he cannot hear the
alarm ringing. What condusion can you draw from this experiment?


A. Sound waves can travel in a vacuum
B. Sound waves are transverse waves and are loud
C. Sound waves cannot travel through a medium
D. Sound waves require a medium to travel through

Answers

Answer: c

Explanation:

Sound waves cannot travel through a medium

A raindrop falls from a cloud 100 m above the ground. Neglect air resistance. What is
the speed of the raindrop when it hits the ground? Is this a reasonable number? Explain.

Answers

Answer:

Explanation:

Use the kinematic equation

[tex]V^2=V^2_i+2a(x_f-x_i)[/tex]

The initial velocity was given from the word "falls." Acceleration due to gravity is 9.8 m/s^2.

[tex]V^2=0^2+200(9.8)[/tex]

[tex]V=\sqrt{1960} =44.27m/s[/tex]

A raindrop falls from a cloud 100 m above the ground. Neglect air resistance. The speed of the raindrop when it hits the ground would be 44.27 meters/ second.

What is mechanical energy?

The sum of all the energy in motion (total kinetic energy) and all the energy that is stored in the system (total potential energy) is known as mechanical energy.

As given in the problem A raindrop falls from a cloud 100 m above the ground. Neglect air resistance, then we have to find out the speed of the raindrop when it hits the ground,

The speed of the raindrop  = √(2gh)

                                             =√(2*9.8*100)

                                              =44.27 meters/seconds

Thus, if a raindrop falls from a cloud 100 m above the ground. Neglect air resistance. the speed of the raindrop when it hits the ground would be 44.27 meters/ second.

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A car traveling at 7.0m/s^2 accelerates uniformly at 2.5 m/s. Reach a speed of 12.0m/s.how long does it take for this acceleration to occur?

Answers

Answer:

2 sec

Explanation:

time taken = [tex]\frac{v-u}{a} = \frac{12-7}{2.5} = 2[/tex]

If the change in velocity increases, what happens to the acceleration during the same time period?
O Acceleration decreases.
O Acceleration increases
O Acceleration becomes negative.
O Acceleration becomes steady

Answers

The answer is B hope this helps

If the change in velocity increases, the acceleration during the same time period increases as well. The correct option is B.

What is electric current?

Electric current is the flow of electric charge through a conducting material, such as a wire. It is measured in units of amperes (A), which represents the rate of flow of electric charge.

The standard definition of electric current is that it is the amount of electric charge passing through a given area of a conductor in unit time.

Mathematically, electric current is expressed as:

I = Q / t

Where

I = the electric current,

Q =the amount of electric charge that flows through a conductor,

t = the time interval during which the charge flows.

The unit of electric charge is coulombs (C), which represents the charge carried by a current of one ampere flowing for one second. So, one ampere of electric current represents a flow of one coulomb of electric charge per second.

Electric current is typically measured using an ammeter, which is a device that is inserted in series with a circuit to measure the current flowing through it. The ammeter is designed to have very low resistance, so it does not significantly affect the current flowing through the circuit being measured.

Here in the question,

If the change in velocity increases, the acceleration during the same time period increases as well. This is because acceleration is directly proportional to the change in velocity over time, as expressed by the formula:

a = (v_f - v_i) / t

Where

a = acceleration,

v_f = the final velocity,

v_i = the initial velocity,

t = the time interval during which the velocity changes.

If the change in velocity is greater, the numerator of the equation is larger, and therefore, acceleration is greater. Similarly, if the time interval is kept constant, an increase in velocity change leads to an increase in acceleration.

Therefore, when velocity increases the acceleration also increases.

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9. A speedboat engine exerts 90000 W of power in moving the boat through the water. The velocity of the boat is 1P = 5 m/s. What force does the engine apply to do this?

P = F x V

Answers

Answer:

it g hope it helps you out

Georgia drops a brick from the top of an 80.0 m building. What is the velocity of the brick when it hits the ground?

Answers

Answer:

the velocity of the brick when it hits the ground is 39.60 m/s

Explanation:

Given;

height through which the ball is dropped, h = 80.0 m

the initial velocity of the brick, u = 0

The final velocity of the brick when it hits the ground is calculated as;

v² = u² + 2gh

v² = 0 + 2 x 9.8 x 80

v² = 1568

v = √1568

v = 39.60 m/s

Therefore, the velocity of the brick when it hits the ground is 39.60 m/s

How much heat energy is given out when 500g of steam at 100 degrees celcius condenses to water at 100 degrees celcius

Answers

Explanation:

How much thermal energy is released when 500g of steam at 100° C condenses into water and cools to 50°C

Givens: m=0.5 kg

t = 50

c = 2.010

Qtotal = Q1 + Q2

Qtotal = QmcΔt + mLv

Qtotal = (0.5kg)(2.010)(50) + (0.5)(2.3*10^6)

Qtotal = 1.15 * 10^6

The book says that the answer is 1.3*10^6?

What did I do wrong here?

The odometer of a car reads 57321 km when the clock shows the time 8.30 am. What is the distance moved by the car, if at 8.50 am, the odometer reading has changed to 57336.0 km? Calculate the speed of the car in km/min during this time.

Answers

Answer:

0.75km/min

Explanation:

I haven't learnt physics at all but I'll try

57336 - 57321 = 15km (Difference)

8.50 am - 8.30 am = 20 minutes (Difference)

If the car odometer adds up 15km every 20 minutes...

20 mins = 15km

1 min = 15 ÷ 20 = 0.75km

During a contest that involved throwing a 7.0-kg bowling ball straight up in the air, one contestant exerted a force of 810 N on the ball. If the force was exerted through a distance of 2.0 m, how high did the ball go from the point of release?

Answers

Answer:

23.6 m

Explanation:

We are given that

Mass of ball, m=7.0 kg

Force, F=810 N

Distance, s=2.0 m

We have to find the height of ball from the point where it releases.

Work done=K.E

[tex]Fs=\frac{1}{2}mv^2[/tex]

[tex]v^2=\frac{2Fs}{m}[/tex]

Substitute the value

[tex]v^2=\frac{2\times 810\times 2}{7}[/tex]

[tex]v^2=\frac{3240}{7}[/tex]

K.E=P.E

[tex]\frac{1}{2}mv^2=mgh[/tex]

[tex]\frac{1}{2}v^2=gh[/tex]

Where g=[tex]9.8m/s^2[/tex]

[tex]\frac{1}{2}\times \frac{3240}{7}=9.8h[/tex]

[tex]h=\frac{3240}{7\times 2\times 9.8}[/tex]

[tex]h=23.6 m[/tex]

which
In describing the motion of an object it is often helpful to identify a
allows you to describe its motion relative to that of another object.
O acceleration
O average velocity
O frame of reference
O speed

Answers

Frame of reference

I think so

En pocas palabras la utilidad que le darias al hecho de conocer los principios y leyes que rigen el movimiento de los cuerpos

Answers

Answer:

we can predict where they are in the future, know where they were in the past

can also build a device that generates a specific type of desired movement,

Explanation:

With the knowledge of the laws that govern the movement of bodies, we can predict where they are in the future and therefore know if there may be an accident, crash.

We can also know where they were in the past and therefore know if a fact is the result of these movements, craters, collapse of buildings, etc.

We can also build a device that generates a specific type of desired movement, for example pulleys that help us with work, etc.

7. The sketch shows a painter standing on a

scaffold that is supported by two ropes. The

person weighs 500 N and the force of each

rope is 400 N. Calculate the weight of the

scaffold.

Fr

Answers

Answer:

300N

Explanation:

From the question

Weight of painter = 500N

Weight of scaffold = x

Weight of painter + weight of scaffold = 2* 400 (since they are supported by two ropes)

Substitute

500 + x = 2(400)

500+x = 800

x =  800-500

x = 300N

Hence the weight of the  scaffold is 300N

Two 5.0 kilogram objects have different gravitational potential energies. What property of the objects must differ?

Answers

Answer:

Height.

Explanation:

Potential energy can be defined as an energy possessed by an object or body due to its position.

Mathematically, potential energy is given by the formula;

[tex] P.E = mgh[/tex]

Where,

P.E represents potential energy measured in Joules.

m represents the mass of an object.

g represents acceleration due to gravity measured in meters per seconds square.

h represents the height measured in meters.

Hence, the property of the object (having a mass of 5 kilograms) which must differ to have different gravitational potential energies is the height from which they are falling from.

The object having the higher height would have a greater gravitational potential energy than the lower object.

A force of 30 N is used to push a box along the floor a distance of 5 meters. How much workwas done

Answers

Answer:

the answer for how much work was done is 90

Work done to push a box is 150 J.

What is work?a force appearing upon an item to purpose a displacement.WORK = FORCE * DISPLACEMENTmechanical conservation of energy is the change in kinetic energy is equal to the work done.work energy theorem states that total energy change is equal to work done.

force= 30N

displacement= 5 meters.

work done= 30 * 5

               ⇒ 150 joule.

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The planet Jupiter has much more mass than Earth. What would happen to an astronaut who landed on Jupiter

A. The astronaut would weigh somewhat less on Jupiter than on Earth

B. The astronaut would have the same weight on Jupiter as on Earth

C. The astronaut would be weightless on Jupiter

D. The astronaut would weigh mire on Jupiter than on Earth

Answers

Answer:

A. The astronaut would way somewhat less

The planet Jupiter has much more mass than Earth, is an astronaut who landed on Jupiter would weigh more on Jupiter than on Earth. Thus, the correct option is D.

What is Jupiter?

Jupiter is a planet of the Solar system of the Milkyway galaxy. It is made up of mostly hydrogen and helium gas. The temperature on this planet is extremely hot and an astronaut landing on this planet will experience free-floating in mid-Jupiter with no way of escaping.

Jupiter has more mass than that of the Earth thus, it exerts greater gravitational force than the Earth, and the weight is equal to the product of the mass and the gravitational acceleration. So, the mass of an astronaut will remain constant when he or she move from earth to jupiter however the weight of the astronaut will increase on jupiter.

Therefore, the correct option is D.

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What do document examiners use chromatography for?

Answers

Liquid chromosome can used to determine what the chemical composition of the inks used on the document are.

an atom with an atomic number of 12 and a mass number of 25 can best decided by which of these

Answers

Answer:

An atom that contains 12 protons

Explanation:

Atomic number is the same as how many protons and electrons an atom has. The mass is how many protons and neutrons there are together. In this case it would be 25 (mass) - 12 (protons) = 13 (neutrons).

another A b c or d about the earth...

Answers

Answer:

B seismic wave

You would like to know whether silicon will float in mercury and you know that can determine this based on their densities. Unfortunately, you have the density of mercury in units of kilogrammeter3 and the density of silicon in other units: 2.33 gramcentimeter3. You decide to convert the density of silicon into units of kilogrammeter3 to perform the comparison. By which combination of conversion factors will you multiply 2.33 gramcentimeter3 to perform the unit conversion?

Answers

Answer:

The fourth one

Explanation:

It's the only one to represent volume (cm³ vs. m³) and have kilograms in the denominator.

Have a wonderful weekend!

If we want to convert the density of the silicon from  2.33 gram/ centimeter3 to kilogram /meter3 unit we have to perform the operation

(1 kilogram/ 10³ grams) ×(1 centimeter/10⁻² meters)×(1 centimeter/10⁻² meters)×(1 centimeter/10⁻² meters)

Therefore the correct answer is option B.

What is density?

It can be defined as the mass of any object or body per unit volume of the particular object or body. Generally, it is expressed as in gram per cm³ or kilogram per meter³.

As given in the problem we have to convert the density of the silicon from  2.33 gram/ centimeter3 to kilogram /meter3 unit

1 kilograms = 1000 grams

1 meter = 100 cm

2.33 gram/ centimeter3 = 2.33×10 ⁻³kilogram / 10 ⁻⁶meter3 unit

                                       = 2.33×10³kilogram / 10 ⁻⁶meter3 unit

Thus, the correct answer is option B.

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A man can row a boat at 4kmhr in still water. He rows the boat 2km upstream and 2 km back to his starting place in 2 hours. How fast is the stream flowing

Answers

Answer:

2.83km/hr

Explanation:

Let stream flowing at the rat x km/hr

In still water

Speed of boat=4km/hr

Upstream speed=4-x

Downstream speed=4+x

Total time=2 hr

Time=Distance/speed

According to question

[tex]\frac{2}{4+x}+\frac{2}{4-x}=2[/tex]

[tex]\frac{8-2x+8+2x}{(4+x)(4-x)}=2[/tex]

[tex]\frac{16}{4^2-x^2}=2[/tex]

Using the formula

[tex](a+b)(a-b)=a^2-b^2[/tex]

[tex]4^2-x^2=\frac{16}{2}[/tex]

[tex]16-x^2=8[/tex]

[tex]16-8=x^2[/tex]

[tex]8=x^2[/tex]

[tex]x=\sqrt{8}=2.83km/hr[/tex]

Hence, the stream  is flowing at 2.83km/hr

A solid wooden cube, 30cm on each side can be totally submerged in water if it is pushed downward with a force of 54N. What is the density of the wood?

Answers

Answer:

the density of the wooden cube is 204.1 kg/m³

Explanation:

Given;

applied force, F = 54 N

length of each side of the solid wooden cube, L = 30 cm = 0.3 m

mass of the wooden cube is calculated as;

F = mg

m = F/g

m = 54/9.8

m = 5.51 kg

The volume of the wooden cube is calculated as;

V = L³

V = (0.3)³

V = 0.027 m³

The density of the wooden cube is calculated as;

ρ = m/V

ρ = (5.51 kg) / (0.027 m³)

ρ = 204.1 kg/m³

Therefore, the density of the wooden cube is 204.1 kg/m³

on what mass will a force 16N produce an acceleration of 160N





Answers

Answer:

m = 0.1 [kg]

Explanation:

To solve this problem we must use Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration. In this way, we have the following equation.

[tex]F =m*a[/tex]

where:

F = force = 16[N]

a = acceleration = 160 [m/s²]

m = mass [kg]

Now replacing:

[tex]m=F/a\\m = 16/160\\m = 0.1 [kg][/tex]

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Which quotation is an example of the author using a first-person point of view in "It's My Constitutional Right!"?A."Claudette and her classmates got out of school early that Wednesday because of a faculty meeting."B."I knew I was talking back to a white policeman, but I had had enough."C. "Mrs. Hamilton was totally unaware of the standoff between Claudette and the driver."D."Mrs. Hamilton replied that she didn't feel like getting up." Ples help me IF its wrong i will report uill give you the best if it right and who ever is first. What is the value of the digit 9 in 71.92 Why was Amanda Gorman asked to write a poem and read it for the Super Bowl? I need help on these to Im almost finished I need help on this. Yin min owns A small store the first month store was open she made 1375 in profit during the next month she advertising local newspaper and saw a 60% increase in profit how much profit did she make the second month? PLS HELP I REALLY NEED IT RNNNNNN 20 POINTSSSWhich function matches the mapping shown?A) f(x) = 2x B) f(x) = 4x C) f(x) = x4 D) f(x) = x + 4 You are the creative director at a Milwaukee ad agency. Today, your copywriters are presenting you with their ideas for several 30-second radio spots for the City of Milwaukee Tourism Bureau, which wants to feature its own information center and tours, as well as city museums, art galleries, concerts, festivals, and special events. When they are ready, the best ideas will be taken to the marketing director at the City of Milwaukee for review and approval.(Scenario ) One copywriter shows you an idea that involves an announcer reading a "top ten" list of cool reasons to visit Milwaukee. What basic guidelines of radio copywriting does this technique address?a. Repeat the brand name.b. Stress the main selling points.c. Stimulate the imagination.d. Tailor copy to a time, place, and audience. Suppose you were asked to revise the following sentence using academic vocabulary.Shakespeare seems to say the stars are to blame for what happens to Romeo and Juliet.Which answer would work best for this task?A. Shakespeare made everything uncertain to make us want to keep reading.B. Shakespeare threw in all sorts of roadblocks in front of Romeo and Juliet.C. Shakespeares use of foreshadowing conveys the theme that we are all victims of fate.D. Romeo and Juliet cant help what happens to them in the end. After a security event that involves a breach of physical security, what is the term used for the new measures, incident review, and repairs meant to stop a future incident from occurring What is Earth's major source of air pollution? change"they didn't let him go" to passive voice Fill in the missing number in this newspaper report:Houses cost 100 000 one year agoThey now cost This is a 25% increaseHow much does it now cost ? Elijah invested $280 in an account paying an interest rate of 2.1% compoundedcontinuously. Assuming no deposits or withdrawals are made, how long would ittake, to the nearest tenth of a year, for the value of the account to reach $360? Can anyone help me with this? PLEASE HELP I NEED THIS FAST PLEASE please explain what i am supposed to do, this is a biology assignment on black, blue, and black n white chickens. 50 PTS BRAINLIEST Use Desmos to graph the following system of equations. Paste a link to your Desmos graph.y = 2/3x-2y = 2/3x+5How many solutions does the graph have? What is the area of this quadrilateral?8 ft6 ft3.ftA. 33 square feetB. 42 square feetC. 17 square feetD. 66 square feet