Consider a system of a cliff diver and the Earth. The gravitational potential energy of the system decreases by 28,000 J as the diver drops to the water from a height of 40.0 m. Determine her weight in newtons.

Answers

Answer 1

Answer:

700 N

Explanation:

The gravitational potential energy of the system decreases by 28,000 joules

The diver jumps from a height of 40 meters

Therefore the weight in Newton can be calculated as follows

= 28,000/40

= 700 newtons


Related Questions

A loop of area 0.250 m^2 is in a uniform 0.020 0-T magnetic field. If the flux through the loop is 3.83 × 10-3T· m2, what angle does the normal to the plane of the loop make with the direction of the magnetic field?

Answers

Answer:

40.0⁰

Explanation:

The formula for calculating the magnetic flux is expressed as:

[tex]\phi = BAcos\theta[/tex] where:

[tex]\phi[/tex] is the magnetic flux

B is the magnetic field

A is the cross sectional area

[tex]\theta[/tex] is the angle that the normal to the plane of the loop make with the direction of the magnetic field.

Given

A = 0.250m²

B = 0.020T

[tex]\phi[/tex] = 3.83 × 10⁻³T· m²

3.83 × 10⁻³ = 0.020*0.250cosθ

3.83 × 10⁻³ = 0.005cosθ

cosθ = 0.00383/0.005

cosθ = 0.766

θ = cos⁻¹0.766

θ = 40.0⁰

Hence the angle normal to the plane of the loop make with the direction of the magnetic field is 40.0⁰

The word acid comes from the Latin word

Answers

Hi :)

The word acid comes from the Latin word acere, which means sour

Hope this helps!
It is acere but for future reference you can search of definition press more and google tells you its origin

An alligator crawls 25\,\text m25m25, start text, m, end text to the left with an average velocity of -1.2\,\dfrac{\text m}{\text s}−1.2
s
m

minus, 1, point, 2, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction.

Answers

Answer:

21 s.

I hope this helps!

Answer:21s

Explanation:

Find the work done by a 75.0 kg person in climbing a 2.50 m flight of stairs at a constant speed.

Answers

Answer:

1,839.375 Joules

Explanation:

Work is said to be done is the force applied to an object cause the object to move through a distance.

Workdone = Force * Distance

Workdone = mass * acceleration due to gravity * distance

Given

Mass = 75.0kg

acceleration due to gravity = 9.81m/s²

distance = 2.50m

Substitute the given parameters into the formula:

Workdone = 75.0*9.81*2.50

Workdone = 1,839.375Joules

Hence the workdone is 1,839.375 Joules

A particle with mass 1.81*10^-3kg and a charge of 1.22*10^-8C has, at a given instant, a velocity v= (3.0*10^4 m/s)j.
A) What is the magnitude of the particle's acceleration produced by a uniform magnetic field B = (1.63T)i^+(0.980T)j^?
B) What is the direction of the particles acceleration? Please show steps so I can follow.

Answers

Answer:

a = -0.33 m/s² k^

Direction: negative

Explanation:

From Newton's law of motion, we know that;

F = ma

Now, from magnetic fields, we know that;. F = qVB

Thus;

ma = qVB

Where;

m is mass

a is acceleration

q is charge

V is velocity

B is magnetic field

We are given;

m = 1.81 × 10^(−3) kg

q = 1.22 × 10 ^(−8) C

V = (3.00 × 10⁴ m/s) ȷ^.

B = (1.63T) ı^ + (0.980T) ȷ^

Thus, since we are looking for acceleration, from, ma = qVB; let's make a the subject;

a = qVB/m

a = [(1.22 × 10 ^(−8)) × (3.00 × 10⁴)ȷ^ × ((1.63T) ı^ + (0.980T) ȷ^)]/(1.81 × 10^(−3))

From vector multiplication, ȷ^ × ȷ^ = 0 and ȷ^ × i^ = -k^

Thus;

a = -0.33 m/s² k^

A motor in a radio control car uses 7.2 volts and draws 14.4 Amps of electricity. What is the resistance of the motor?

Answers

Answer :

0.5 Ω

Explanation:

The following data were obtained from the question:

Voltage (V) = 7.2 V

Current (I) = 14.4 A

Resistance (R) =..?

The resistance of the motor can be obtained by applying the ohm's law equation as shown below:

V = IR

7.2 = 14.4 × R

Divide both side by 14.4

R = 7.2/14.4

R = 0.5 Ω

Therefore, the resistance is 0.5 Ω

Answer:

Answer :

0.5 Ω

Explanation:

The following data were obtained from the question:

Voltage (V) = 7.2 V

Current (I) = 14.4 A

Resistance (R) =..?

The resistance of the motor can be obtained by applying the ohm's law equation as shown below:

V = IR

7.2 = 14.4 × R

Divide both side by 14.4

R = 7.2/14.4

R = 0.5 Ω

Therefore, the resistance is 0.5 Ω

Please help with this science thank you

Answers

Answer:acbd

Explanation:

Hollywood and video games often depict the bad guys being "blown away" when they’re shot by a bullet (i.e. once hit, their feet leave the ground and they fly backwards). Assuming that even if a handgun cartridge did generate enough momentum for the bullet to do this, why is it still nonsense on-screen?

Answers

Answer:

Taking a look at Newton's third law of motion which states "for every force exerted, their is an opposite force equal in magnitude and opposite in direction on the first force".

Similarly if a bullet had enough forces behind it to hurl someone through the air when they were hit, a similar force would act on the person holding the gun that fired the bullet.  

What we load into the gun is called a 'cartridge' Each piece is composed of four basic substance the casing, the bullet, the primer, and the powder.  

The primer explodes lighting the powder which causes a buildup of pressure behind the bullet. This powder can be used in rifle cartages because the bullet chamber is designed to withstand greater pressures.  

It is difficult in practice to measure the forces within a gun bagel, but the one easily measured parameter is the velocity with which the bullet exits muzzle velocity, therefore assuming that even if a handgun cartridge which generate enough momentum for the bullet to do this,  it is still nonsense on screen in Hollywood and video.  

             

A 6.13-g bullet is moving horizontally with a velocity of 361 m/s, where the sign indicates that it is moving to the right (see part a of the drawing). The bullet is approaching two blocks resting on a horizontal frictionless surface. Air resistance is negligible. The bullet passes completely through the first block (an inelastic collision) and embeds itself in the second one, as indicated in part b. Note that both blocks are moving after the collision with the bullet. The mass of the first block is 1233 g, and its velocity is 0.741 m/s after the bullet passes through it. The mass of the second block is 1646 g. (a) What is the velocity of the second block after the bullet imbeds itself

Answers

Answer:

v₃ = 0.786 m/s

Explanation:

Here, we will use the law of conservation of momentum, which states the following:

Total Momentum of System Before Collision =

Total Momentum of System After Collision

m₁u₁ + m₂u₂ + m₃u₃ = m₁v₁ + m₂v₂ + m₃v₃

where,

m₁ = mass of bullet = 6.13 g = 0.00613 kg

m₂ = mass of 1st block = 1233 g = 1.233 kg

m₃ = mass of 2nd block = 1646 g = 1.646 kg

u₁ = speed of first bullet before collision = 361 m/s

u₂ = speed of first block before collision = 0 m/s

u₃ = speed of 2nd block before collision = 0 m/s

v₁ = speed of bullet after collision

v₂ = speed of 1st block after collision = 0.741 m/s

v₃ = speed of 2nd block after collision = ?

Therefore,

(0.00613 kg)(361 m/s) + (1.233 kg)(0 m/s) + (1.646 kg)(0 m/s) = (0.00613 kg)(v₁) + (1.233 kg)(0.741 m/s) + (1.646 kg)(v₃)

2.2129 kg m/s + 0 kg m/s + 0 kg m/s - 0.9136 kg m/s = (0.00613 kg)(v₁) + (1.233 kg)(0.741 m/s) + (1.646 kg)(v₃)

1.2992 kg m/s = (0.00613 kg)(v₁) + (1.646 kg)(v₃)

since, the bullet is embedded in 2nd block after collision. Thus, there velocities will become same. (v₁ = v₃)

Therefore,

1.2992 kg m/s = (0.00613 kg)(v₃) + (1.646 kg)(v₃)

v₃ = (1.2992 kg m/s)/(1.6521 kg)

v₃ = 0.786 m/s

50 pounds is equal to 22,700 grams. How many pounds does this backpack full of gold weigh? Would you be able to carry out that backpack filled with gold?

Answers

The question is incomplete. Here is the complete question.

7) A standard backpack is approximately 30cm x 30cm x 40cm. Suppose you find a hoard of pure gold (density = 19.3 g/cm³) while treasure hunting in the wilderness. How much mass would your backpack hold if you filled it with gold?

8) 50 pounds is equal to 22,700 grams. How many pounds does this backpack full of gold weigh? Would you be able to carry out that backpack filled with gold?

Answer: 7) m = 694,800g

              8) It wieghts 1530.4 lbf

Explanation:

7) Volume of the backpack will be

V = 30 x 30 x 40

V = 36000 cm³

According to density of gold, each cm³ corresponds to 19.3g, then:

m = 19.3[tex]\frac{g}{cm^{3}}[/tex] * 36000cm³

m = 694800g

If I filled it with gold, the backpack will hold 694800g or 694.8kg.

8) 50 pounds is equal to 22700g. Then:

50 pound = 22700g

W = 694800g

W = [tex]\frac{694800.50}{22700}[/tex]

W = 1530.4 lbf

The backpack, in pounds, will weigh 1530.4lbf, which is very heavy to be supported by a human body.

my heart strike him to dead.what figure of speech is that?​

Answers

Answer:

Hyperbole

Explanation:

this is an extreme exaggeration or overstatement/ magnification

When adding the components of a vector, the resultant magnitude is always the sum of the two component magnitudes.
True or false?

Answers

Answer:False

Explanation:

Answer:

False

Explanation:

Help solve these two problems im having trouble trying to start these problems?​

Answers

Answer:

25.  Approximately 8.1 meters

26. North 1.31 km, and East 2.81 km

Explanation:

25.

Notice that the displacements: 6 meters east and 5.4 south create the legs of a right angle triangle. The hypotenuse of that triangle will be the distance (d) needed to cover in order to get the ball in the hole in one putt. That is:

[tex]d=\sqrt{6^2+5.4^2} =\sqrt{65.16} \approx 8.072\,\,\,m[/tex]

which can be rounded to 8.1 m.

26.

Notice that the 3.1 km at an angle of 25 degrees north of east, is the hypotenuse of a right angle triangle that has for legs the east and north components of that distance.

We can find the leg corresponding to the east displacement using the cosine function (that relates adjacent side with hypotenuse):

[tex]east\,\, comp=3.1 * cos(25^o)\approx 2.809\,\,km[/tex]

and we can calculate the north component using the sine function that relates the opposite side to the angle with the hypotenuse.

[tex]north\,\,component = 3.1 * sin(25^o) \approx 1.31 \,\,km[/tex]

Cells make proteins on small structures called vesicles.

True
False

Answers

it is true cells make protein on small structures called vesicles

The statement about making of protein on small structure by cell is True.

Vesicles can be regarded as small, fluid-filled sacs which its appearance can be seen on our skin. Transport vesicles is the vesicle that helps in transportation of materials from one part of the cell to other. this material could be proteins as well as  other molecules.When protein is been made by a cell , then the transporter vesicles will then be responsible for the movement of this   proteins to the Golgi apparatus, where actions like sorting and refining will be performed.With the help of vesicle pressure in the cell can be regulatedThe fluid that is contained inside these sacs is usually clear, and sometimes it could be white or yellow with blood.The diameter of a Vesicles are about 5 to 10 millimeters.

Therefore, vesicles helps in movement of molecules.

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A battery is used to charge a parallel-plate capacitor, after which it is disconnected. Then the plates are pulled apart to twice their original separation. This process will double the: __________A. capacitance
B. surface charge density on each plate
C. stored energy
D. electricfield between the two places
E. charge on each plate"

Answers

Answer: C.

Explanation:

For a parallel-plate capacitor where the distance between the plates is d.

The capacitance is:

C = e*A/d

You can see that the distance is in the denominator, then if we double the distance, the capacitance halves.

Now, the stored energy can be written as:

E = (1/2)*Q^2/C

Now you can see that in this case, the capacitance is in the denominator, then we can rewrite this as:

E = (1/2)*Q^2*d/(e*A)

e is a constant, A is the area of the plates, that is also constant, and Q is the charge, that can not change because the capacitor is disconnected.

Then we can define:

K = (1/2)*Q^2/(e*A)

And now we can write the energy as:

E = K*d

Then the energy is proportional to the distance between the plates, this means that if we double the distance, we also double the energy.

If the plates are pulled apart to twice their original separation, then this will double the stored energy. Hence, option (C) is correct.

The given problem is based on the concept of parallel plat capacitor. For a parallel-plate capacitor where the distance between the plates is d.

The capacitance is:

C = e*A/d

here.

e is the permittivity of free space.

Since, the distance is inversely proportional then if we double the distance, the capacitance halves.  Now, the stored energy can be given as,

E = (1/2)*Q^2/C

here,

Q is the charge stored in the capacitor.

Now you can see that in this case, the capacitance is in the denominator, then we can rewrite this as:

E = (1/2)*Q^2*d/(e*A)

e is a constant, A is the area of the plates, that is also constant, and Q is the charge, that can not change because the capacitor is disconnected.

Then we can define:

K = (1/2)*Q^2/(e*A)

And now we can write the energy as:

E = K*d

So, the energy is proportional to the distance between the plates.

Thus, we can conclude that if the plates are pulled apart to twice their original separation, then this will double the stored energy. Hence, option (C) is correct.

Learn more about the energy stored in a capacitor here:

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One way to increase friction is to use (A.wax,B.sand,C.water ,D.oil

Answers

Answer:

using sand

Explanation:

We can increase friction by making rough surface.

A system has the same velocity profile but a depth of 10 feet. The average velocity of the stream with a depth of 10 feet is __________ the stream with a depth of 6 feet.

a. Greater than
b. Less tharn
c. The same as
d. The answer cannot be determined with the given information.

Answers

Answer:

The average velocity of the stream with a depth of 10 feet is greater.

(a) is correct option.

Explanation:

Given that,

Depth [tex]h_{1}= 10\ feet[/tex]

Depth [tex]h_{2}=6\ feet[/tex]

We need to calculate the average velocity of the stream

According to question,

[tex]h_{1} > h_{2}[/tex]

The velocity for first case,

[tex]v_{1}=u_{1}\dfrac{x_{1}}{h_{1}}[/tex]

[tex]\dfrac{v_{1}}{x_{1}}=\dfrac{u_{1}}{h_{1}}[/tex]

The velocity for second case,

[tex]v_{2}=u_{2}\dfrac{x_{2}}{h_{2}}[/tex]

[tex]\dfrac{v_{2}}{x_{2}}=\dfrac{u_{2}}{h_{2}}[/tex]

For the same velocity profile,

[tex]\dfrac{dv}{dx}=\dfrac{v_{1}}{x_{1}}=\dfrac{v_{2}}{x_{2}}[/tex]

Then,

[tex]\dfrac{u_{1}}{h_{1}}=\dfrac{u_{2}}{h_{2}}[/tex]

Put the value into the formula

[tex]\dfrac{u_{1}}{10}=\dfrac{u_{2}}{6}[/tex]

[tex]u_{1}=\dfrac{5}{3}u_{2}[/tex]

[tex]u_{1}=1.67u_{2}[/tex]

The velocity is [tex]u_{1} > u_{2}[/tex]

We need to calculate the average velocity for first case

Using formula of average velocity

[tex]v_{avg}_{1}=\dfrac{0+u_{1}}{2}[/tex]

Put the value into the formula

[tex]v_{avg}_{1}=\dfrac{0+u_{1}}{2}[/tex]

[tex]v_{avg}_{1}=\dfrac{u_{1}}{2}[/tex]

We need to calculate the average velocity for second case

Using formula of average velocity

[tex]v_{avg}_{2}=\dfrac{0+u_{2}}{2}[/tex]

Put the value into the formula

[tex]v_{avg}_{2}=\dfrac{0+u_{2}}{2}[/tex]

[tex]v_{avg}_{2}=\dfrac{u_{2}}{2}[/tex]

If [tex]u_{1} > u_{2}[/tex] then [tex]\dfrac{u_{1}}{2} >\dfrac{u_{2}}{2}[/tex]

So, we can say that the average velocity of the stream with a depth of 10 feet will be greater than the stream with a depth of 6 feet.

Hence, The average velocity of the stream with a depth of 10 feet is greater.

(a) is correct option.

A 0.75 m3 rigid tank initially contains air whose density is 1.18 kg/m3. The tank is connected to a high-pressure supply link through a valve. The valve is opened, and air is allowed to enter the tank until the density in the tank rises to 4.95 kg/m3. Determine, in kg, the mass of air that has entered the tank..

Answers

Answer:

2.83kg

Explanation:

Answer:

2.83kg

Explanation:

Given

initial density = 1.18 kg/m3

Final density in the tank = 4.95 kg/m3.

Let us write the mass balance first.

Change in the mass of the system=mass of the air entering the system - Mass of air out the system

Mass that entered= M2 - M1

But DENSITY= MASS/ VOLUME

Mass= volume × Density

We can expressed the mass in terms of density since density is given in the question.

Mass that entered= (volume × density)2 - ( volume × density)1

= (V ρ)2 - (V ρ)1

But V1= V2 the volume remains the same

= ( ρ2 - ρ1)v

= (4.95 kg/m3 - 1.18 kg/m3) 0.75 m3

= 3.77× 0.75

= 2.8275kg

Mass that entered= 2.83kg

therefore, mass of air that has entered the tank= 2.83kg

a 12000.0-kg car is traveling at 19 m/s. the driver suddenly slams on the brakes and skids to a stop. The coefficient of kinetic friction between the tires and the road is 0.80. for what length of time is the car skidding?

Answers

What I don’t get it ?

7. A 1,500-N force is applied to a 1,000-kg car. What is the car's acceleration?

Answers

Answer:

1.5m/s^2

Explanation:

Answer:

1.5 m/s2. accerelation =force ÷mass

A force is applied to a block sliding along a surface (Figure 2). The magnitude of the force is 15 N, and the horizontal component of the force is 4.5 N. At what angle (in degrees) above the horizontal is the force directed?

Answers

Answer:

Fy = 14.3 [N]

Explanation:

To be able to solve this problem we must know that the force is a vector and has magnitude and direction, therefore it can be decomposed into the force in the X & y components:

When we have the components on the horizontal and vertical axes we must use the Pythagorean theorem.

[tex]F = \sqrt{F_{x}^{2} +F_{y}^{2} }[/tex]

where:

F = 15 [N]

Fx = horizontal component = 4.5 [N]

Fy = vertical component [N]

[tex]15=\sqrt{4.5^{2}+F_{y}^{2}}\\ 15^{2}= (\sqrt{4.5^{2}+F_{y}^{2}})^{2} \\225 = 4.5^{2}+F_{y} ^{2}\\ F_{y}^{2} =225 -4.5^{2}\\ F_{y}^{2}=204.75\\F_{y}=\sqrt{204.75}\\ F_{y}=14.3 [N][/tex]

Blood is 92% water. Blood is
drawn using a capillary tube.
Write 1 sentence explaining how it
illustrates this characteristic of
water. Use the terms adhesion
and capillary action.

Answers

Answer:

Plasma, which constitutes 55% of blood fluid, is mostly water (92% by volume), and contains proteins, glucose, mineral ions, hormones, carbon dioxide (plasma being the main medium for excretory product transportation), and blood cells themselves.

Explanation:

Capillary motion is crucial for circulating water. Your body's cells would not hydrate without this flow, and crucial communication between your brain and body would slack off, hence blood contains water 92% water helps in capillary action.

What is Capillary action?

Capillary action, also known as capillary effect or motion, is the process by which liquid moves through constricted areas without the aid of external forces like gravity but rather with the help of intermolecular forces that exist between the liquid and solid surface (s).

Adhesion: The attraction of two different molecules, such as the hydrogen and oxygen molecules found in water and plastic drinking straws.

Proteins, glucose, mineral ions, hormones, carbon dioxide (plasma is the principal medium for excretory product transfer), and blood cells themselves are contained in plasma, which makes up 55% of blood fluid. Plasma is mostly water (92% by volume) and contains water as well as several other substances.

Therefore, the water contains in the blood helps in capillary action.

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g A cylinder of mass m is free to slide in a vertical tube. The kinetic friction force between the cylinder and the walls of the tube has magnitude f. You attach the upper end of a lightweight vertical spring of force constant k to the cap at the top of the tube, and attach the lower end of the spring to the top of the cylinder. Initially the cylinder is at rest and the spring is relaxed. You then release the cylinder. What vertical distance will the cylinder descend before it comes momentarily to rest

Answers

Answer:

The vertical distance is  [tex]d = \frac{2}{k} *[mg + f][/tex]

Explanation:

From the question we are told that

   The mass of the cylinder is  m

    The kinetic frictional force is  f

Generally from the work energy theorem

    [tex]E  =  P +  W_f[/tex]

Here E the the energy of the spring which is increasing and this is mathematically represented as

       [tex]E =  \frac{1}{2} * k  *  d^2[/tex]

Here k is the spring constant

        P is the potential energy of the cylinder which is mathematically represented as

     [tex]P  = mgd[/tex]

And

     [tex]W_f[/tex]  is the workdone by friction which is mathematically represented as

      [tex]W_f  =  f *  d[/tex]

So

    [tex] \frac{1}{2} * k  *  d^2 =  mgd +  f *  d [/tex]

=>    [tex] \frac{1}{2} * k  *  d^2 =  d[mg +  f    ][/tex]

=>  [tex] \frac{1}{2} * k  *  d =  [mg +  f    ][/tex]

=> [tex]d = \frac{2}{k} *[mg + f][/tex]

1. Name three branches of
science.

Answers

Answer:

Biology

Physics

Chemistry

Explanation:

Biology (life like cells, human reproduction, etc.)

Physics (Studies forces, like gravity.)

Chemistry (studies the atoms, the elements, etc.)

The seasons of the year result from Earths movement, or____, around the sun.

Answers

Answer:

rotation

Explanation:

The seasons of the year result from Earths movement, or rotation around the sun. The answer for the blanks is rotation .

What is the earth's orbit?

The Earth orbits the Sun in a counterclockwise pattern above the Northern Hemisphere at an average distance of 149.60 million km.

The Earth revolves around its axis once every 24 hours and orbits the sun once every 365 days. The Earth's rotation on its axis, not its orbit around the sun, causes day and night.

The term 'one day' refers to the time it takes the Earth to rotate once on its axis, which includes both day and night.

A season is a division of the year that is based on variations in weather, ecology, and the number of daylight hours in a certain place.

Seasons on Earth are caused by Earth's orbit around the Sun and its axial tilt relative to the ecliptic plane.

The seasons of the year result from Earths movement, or rotation around the sun.

Hence, the answer for the blanks is rotation .

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King crimson vs DIO? for science of course. and for an essay

Answers

Answer:

king crimson

Explanation:

bc

Explanation:

It could go either way.

King crimsons ability is to see into the future and erase something, changing the outcome, while The Worlds ability is to Stop time. I believe DIO would beat Diavolo,but thats if certain requirements are met.Like, the fight being at night, but if Diavolo got a good combo of attacks on DIO, theres a high chance he would kill DIO, but DIO could end the fight in seconds by stopping time and killing him in his Stopped time, or his World, hope this helped

The flu _____.

is caused by bacteria
is noncommunicable
can be prevented by practicing good hygiene
was discovered by Edward Jenner during the 1700s

Answers

can be prevented by practicing good hygiene

Answer:

b and d is wrong because if you sneezing and cough or other things like wiping your nose on your hand and touching things that other people touch can make people have the flu while you have it and edward jenner discovered cowpox and smallpox, not the flu

Explanation:

It takes a minimum distance of 48.96 m to stop a car moving at 12.0 m/s by applying the brakes (without locking the wheels). Assume that the same frictional forces apply and find the minimum stopping distance when the car is moving at 25.0 m/s.

Answers

Answer:

102 m

Explanation:

Given that It takes a minimum distance of 48.96 m to stop a car moving at 12.0 m/s by applying the brakes (without locking the wheels). Assume that the same frictional forces apply and find the minimum stopping distance when the car is moving at 25.0 m/s.

Let the stopping distance be equal to S.

According to the definition of speed,

Speed = distance / time.

make time the subject of the formula

Time = distance / speed

then, the equivalent time is:

48.96 / 12 = S / 25

Cross multiply

12S = 48.96 x 25

12S = 1224

S = 1224 / 12

S = 102 m

Therefore, the stopping distance is 102 m

) A 1000-gallon tank currently contains 100.0 gallons of liquid toluene and a gas saturated with toluene vapor at 85°F and 1 atm. (a) What quantity of toluene (lbm) will enter the atmosphere when the tank is filled and the gas displaced? (b) Suppose that 90% of the displaced toluene is to be recovered by compressing the displaced gas to a total pressure of 5 atm and then cooling it isobarically to a temperature T(°F). Calculate T.

Answers

Answer:

A) m[tex]_{T}[/tex] = 0.3025 * 0.0476 * 92.13 = 1.327 Ibm

B) T= 63.32°F

Explanation:

Given data:

1000 gallon tank currently contains 100.0 gallons of liquid toluene

and A gas saturated with toluene vapor at 85°F and 1 atm

A) Calculate quantity of toluene ( Ibm ) that will enter the atmosphere when the tank is filled

m[tex]_{T}[/tex] = [tex]n_{gas} * Y_{T} * M_{T}[/tex]

[tex]n_{gas}[/tex] (total mole of gas) = 0.3025 Ib-mole  ( calculated using : [tex]\frac{PV}{RT}[/tex] )

[tex]Y_{T}[/tex] (mole fraction of toluene) = 0.0476 ( calculated using [tex]\frac{P_{T} }{P}[/tex] )

M[tex]_{T}[/tex] = 92.13 Ibm/Ib-mole

therefore:  m[tex]_{T}[/tex] = 0.3025 * 0.0476 * 92.13 = 1.327 Ibm

B) using Antoine equation to solve for T

Antoine equation : [tex]log_{10} (P_{T} ) = A - \frac{B}{T+C}[/tex]

PT( partial pressure ) = 18.95 ( calculated using : [tex]y_{tb} * P[/tex] )

A = 6.95805

B = 1346.773

T = ?

C = 219.693

to calculate T make T the subject the subject of the equation

T + 219.693 = 1346.773 / 5.68044

∴ T = 17.40°C

convert T to Fahrenheit

T = 1.8 * 17.40 +32

  = 63.32°F

calculate sound intensity

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I dont know sorry,I hope you find what are you looking for.

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