Q9: A bungee jumper falls with a total of 7.8kJ of kinetic energy. If the bungee jumper's total mass is 50kg, at what speed do they fall?​

Answers

Answer 1

The bungee jumper falls at a speed of approximately 17.67 meters per second.

What is the bungee jumper fall speed?

Kinetic energy is simply a form of energy a particle or object possesses due to its motion.

It is expressed as;

K = (1/2)mv²

Where m is mass of the object and v is its velocity.

We know that the kinetic energy of the bungee jumper is 7.8 kJ and their mass is 50 kg.

Substituting these values into the equation gives:

K = (1/2)mv²

7.8 kJ = (1/2) × 50 kg ×  v²

Convert from kiloJoule to Joule

7.8 kJ = (7.8 × 1000 ) = 7800J

Simplifying:

7800J = (1/2) × 50 kg ×  v²

7800 kgm²/s² = (1/2) × 50 kg ×  v²

7800 kgm²/s² = 25 kg ×  v²

v² =  7800 kgm²/s² ÷ 25kg

v² =  312 m²/s²

Taking the square root of both sides:

v =  √( 312 m²/s² )

v = 17.67 m/s

Therefore, the fall speed is 17.67 m/s.

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Related Questions

How does a valve cause a pressure drop in terms of the individual molecules in the liquid?

Answers

Opening the valve allows more of the pressurized material out. If the area is decreased, less of the pressurized material is released, and its force ends up more spread out, reducing the pressure. Opening the valve will increase volume of transfer of your liquid.

Why does an object that is sliding across carpet slow down?.

Answers

Answer:

. Carpet has a rougher surface than the bare floor, so there are more areas for the object to have friction with the rougher surface and slow down.

Explanation:

An object that is sliding across carpet slow down because of friction acting between its rougher surface and the surface of the object.

What is friction?

When two bodies come in touch with each other, friction, a sort of relative force, acts as a resistance. In other words, friction force opposes the relative motion of two bodies when they come into touch with one another.

When an object is sliding across carpet, it has to pass through a surface which is more rough compare to plane surface. So, frictional force will be greater in this case compare to plane surface. This frictional force resists the sliding of the object and the object slows down gradually.

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the first qstn plsss​

the first qstn plsss

Answers

answer:

the first one  

Explanation:

i think it is this one because 4k is bigger than 2k . also it is asking which one has the lager magnitude so it is the first one

A wire that is 0.36 meters long moves perpendicularly through a magnetic field at a speed of 0.21 meters/second. The induced emf produced in the wire is 0.45 volts. What is the magnetic field strength?

A.

0.034 newtons/amp·meter

B.

0.17 newtons/amp·meter

C.

0.26 newtons/amp·meter

D.

0.77 newtons/amp·meter

E.

6.0 newtons/amp·meter

A wire that is 0.36 meters long moves perpendicularly through a magnetic field at a speed of 0.21 meters/second.

Answers

Answer:

the answer is letter D.

Explanation:

i hope this is help

Answer:

great answer warstep8! add me on disc colludy#8415

Explanation:

Two masses balance on opposite sides of a pivot on a balance beam. The mass on the left is 4. 3 cm away from the pivot. The mass on the right is 4. 2 cm away from the pivot. The mass on the left is 30. 4 grams. What is the mass on the right in grams? give your answer to one decimal place

Answers

The mass on the right is 28.9 grams.

To solve this problem, we can use the principle of moments, which states that the total clockwise moment is equal to the total anticlockwise moment. We can calculate the moments by multiplying the mass by the distance from the pivot. Let M1 be the mass on the left and M2 be the mass on the right. We can set up the equation:

M1 x 4.3 = M2 x 4.2

Substituting M1 = 30.4 grams, we can solve for M2:

M2 = (M1 x 4.3) / 4.2

M2 = (30.4 x 4.3) / 4.2

M2 = 31.12 grams

Therefore, the mass on the right is 31.12 grams. However, we need to round our answer to one decimal place, which gives us 28.9 grams as the final answer.

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A bullet is shot from a rifle with a speed of 3,015 feet per second. Assuming the billet moves at a constant velocity what is the time rescuers die the biller to strike a target 4,146 meters away

Answers

Answer:

Explanation:

Given

final speed v = 3015ft/s

initial speed = 0m/s

Distance S = 4146m/s

Required

Time

Using the equation of motion to get the time;

S = (v+u)/2 * t

since 1m = 3.28084ft'

4146m = 3.28084 * 4146 = 13,602.36264feet

13,602.36264 = 3015+0/2 * t

13,602.36264 = 1,507.5t

t = 13,602.36264/ 1,507.5

t = 9.023 secs

Hence it will take 9.023 seconds the rescuer die the biller to strike a target

The target heart rate zone is:
a
the level your recovery heart rate should reach.
b
where you want your exercise heart rate.
c
where you want your resting heart rate.
d
your maximum heart rate.

Answers

I think C. Cause normally if it’s too fast you could have high blood pressure or other problems

The target heart rate zone is where you want your exercise heart rate to be. Option B is correct.

The target heart rate zone is a specific range of heart rates that you should aim to achieve during exercise to maximize the benefits of your workout. This range is typically calculated based on a percentage of your maximum heart rate. For example, if your maximum heart rate is 180 beats per minute, your target heart rate zone might be between 120 and 150 beats per minute.

The objective pulse is 50 to 85 percent of your greatest pulse. It is the level at which your heart is pulsating with moderate to extreme focus. To decide your greatest pulse, take 220 and deduct your age. Supporting an exercise at this speed works on cardiorespiratory perseverance.

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An object with a mass of 65 kg falls off a cliff and hits the ground at a velocity of 18.25 m/s. If g=9.8m/s2, what is the height of the cliff?

Answers

The height of the cliff is 8.7 meters while 65kg mass falls off a cliff and hits the ground with the velocity of 18.25m/s.

What is a velocity?

Velocity is a measure of an object's speed and direction of motion. It is a vector quantity, meaning it has both magnitude (speed) and direction. Velocity is often represented by the symbol "v" and is usually measured in meters per second (m/s). The velocity of an object can be changed by applying a force to it, causing it to accelerate. The acceleration can be positive, negative, or zero, depending on the direction and magnitude of the force.

Calculation for finding height of the cliff

The equation of motion to find the height of the cliff

\(h = vi \times t + 1/2 \times a \times t^2\)

where h is the height of the cliff, vi is the initial velocity (which is 0 m/s because the object is starting from rest), t is the time it takes to fall, and a is acceleration due to gravity \((9.8 m/s^2)\).  Final velocity of the object \((18.25 m/s)\) to find t should be used.

\(vf^2 = vi^2 + 2\times a \times h\)

\(18.25^2 = 0 + 2 \times9.8 \times h\)

Hence,

\(h = (18.25^2) / (2 \times9.8) = 170.5625 m/s^2 / 19.6 m/s^2 = 8.7 meters\)

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Imagine that person B is more massive than person A in the picture above.
If they push off of each other with the same amount of force, who will
have the greater acceleration? What law are you applying? Explain how
that law is being applied.

Imagine that person B is more massive than person A in the picture above.If they push off of each other

Answers

Hippity hoppity your points are my property

The electric motor in the car is powered by a battery.

To charge the battery, the car is plugged into the mains supply at 230 V

The power used to charge the battery is 6.9 kW

Calculate the current used to charge the battery.

Answers

Answer:

I = 30 A.

Explanation:

Given that,

The voltage of the battery, V = 230 V

Power used to charge the battery, P = 6.9 kW

We need to find the current used to charge the battery. The formula for the power is given by :

P = VI

Where

I is current

So,

So, the required current is 30 A.

The electric motor in the car is powered by a battery. To charge the battery, the car is plugged into

a block of mass 10.0 kg sits on a 30o incline, with a rope attached as shown. the rope slides over a frictionless pulley and from it hangs a second block of mass m. the coefficient of kinetic friction is 0.325. what must the mass m be, such that the 10.0-kg block sides down the incline at a constant velocity?

Answers

The mass m of the block, which is travelling at a constant speed, can be any amount larger than zero.

To determine the mass of the second block, we need to analyze the forces acting on the system and set up an equation based on the condition of constant velocity.

Let's denote the mass of the second block as m.

The gravitational force acting on the 10.0 kg block can be split into two components: one parallel to the incline (mg sinθ) and one perpendicular to the incline (mg cosθ).

The frictional force acting on the 10.0 kg block can be calculated as μN, where μ is the coefficient of kinetic friction and N is the normal force.

The tension in the rope can be denoted as T.

Since the block is moving at a constant velocity, the net force acting on it in the direction of motion is zero. This can be expressed as:

T - mg sinθ - μN = 0

The normal force can be calculated as N = mg cosθ.

Substituting this value into the equation, we have:

T - mg sinθ - μ(mg cosθ) = 0

Now, let's consider the second block hanging from the rope. The tension in the rope is also equal to the weight of the second block:

T = mg

Substituting this value into the equation above, we get:

mg - mg sinθ - μ(mg cosθ) = 0

Simplifying the equation, we have:

m - m sinθ - μ(m cosθ) = 0

Now we can solve for the mass m by rearranging the equation:

m(1 - sinθ - μ cosθ) = 0

\(m = \frac{0}{{1 - \sin\theta - \mu \cos\theta}}\)

Since the block is moving at a constant velocity, the mass m can be any value greater than zero.

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What is the standard Hz rate (cycles per second) in the US?
20 Hz
80 Hz
60 Hz
50 Hz

Answers

80 Hz It's the right one

Answer:

The standard in the United States is 120-volt and 60Hz AC electricity.

Explanation:

Brainliest, please?


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.

Which formula can be used to find the X component of the resultant vector?

Answers

Answer:

If you are simply looking for the X component then the most applicable formula from the choices given is Tx + Ux+ Vx. This means that you will add all x-components. For example: If a man walking along the x-axis walks 10 meters to the right, 5 back and 2 meters forward, what is the resultant vector?

HELPPP
10m/s convert into mm/s

Answers

Answer: 10000 mm's

Explanation: Online calculator to convert meters per second to millimeters per second (m/s to mm/s) with formulas, examples, and tables.

The release of energy by the nucleus of an atom as a result of nuclear fission is radian energy

True or false

Answers

Nuclear energy comes from the binding energy that is stored in the centre of an atom and holds it together. To release the energy, the atom has to be split into smaller atoms. This process is called fission. Answer is: false. Correct answer is nuclear energy.

in an oscillator consisting of a spring and a block, the amount of kinetic energy reaches maximum when:

Answers

In an oscillator consisting of a spring and a block, the amount of kinetic energy reaches maximum when: A. The block passes over the equilibrium point.

What is kinetic energy?

In Science, kinetic energy can be defined as a type of energy that's possessed by a physical object or body, especially due to its motion or a change in velocity (acceleration).

This ultimately implies that, a physical object or body would gain more of kinetic energy as it falls back toward the Earth because it is in motion.

In an experiment that is based on an oscillator using both a spring and a block, the amount of kinetic energy that is possessed by the block would reach maximum when it passes over the equilibrium point.

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Complete Question:

In an oscillator consisting of a spring and a block, the amount of kinetic energy reaches maximum when:

The block passes over the equilibrium point.

The block is at maximum positive displacement from the equilibrium point.

The spring's extension is half of the amplitude of oscillation.

The spring is at maximum compression.

None of these.

How do you find the average speed of three speeds?

Answers

Answer:

Assess what information you are given. Use this method if you know:

the total distance covered by one person or vehicle; and

the total time it took that person or vehicle to cover the distance.

Explanation:

Hope this helps! I might be wrong, so tell me if I am

Answer:

Average speed can be calculated by dividing the total distance the object travels by the total amount of time it takes to travel that distance.

Explanation:

This is as much as I can help you, i don't know much else on how to do that ;w; sorry

a wave transports energy, but not matter. true or false
THIS IS SCHOOL CONTENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

true

Explanation:

Just searched it

As heat is added to a substance, what is the order of phases that it passes through

Answers

Answer:...........................

Explanation:.........................................

A 31.7 kg kid initially at rest slides down a frictionless water slide at 53.2 degrees, how fast is she moving in 3.45 s later?

Answers

Answer:

34.55 m/s

Explanation:

Light enters a glass plate at an angle of incidence of 25°. If the index of refraction of a glass is 1.6, the angle of refraction is

a. 15°
b. 16°
c. 40°
d. 43°

Answers

The angle of refraction is a. 15°

What is the Snell's law?

Snell's law is described as “The ratio of the sine of the angle of incidence to the sine of the angle of refraction is a constant, for the light of a given colour and for the given team of media”.

By Snell's law:

η = sin i / sin r. i = 25, η = 1.6

1.6 = sin25° / sin r

sin r = sin25° / 1.6

= 0.4226/1.6= 0.2641

calculating

r = sin⁻¹( 0.2641 )

sin−1(0.264) is ≈ 15.3075

the angle of refraction is a. 15°

What is Snell's first law?

So the angle associated with the incidence and refraction can have a relation to the refractive index of the two mediums. Snell's First Law: It states that the incident ray, the refracted ray and the standard lie on the same plane.

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rank the light intensity, from largest to smallest, at the point p in the figures.

Answers

The light intensity from  largest to smallest ranking will be  :B > D > A=C > E. where the area is measured on the plane perpendicular to the direction .

In physics, the intensity is the amount of energy that is transmitted per unit area, and the area is measured on a plane perpendicular to the direction that the energy equation will propagate. I = P/ 4(d2), with P denoting power. Let power of 1 bulb equal = P where I = intensity, d = distance at which the intensity must be determined.

case A = I =  P / (1) (1) 1 = P case with 2 = P In the situation B = I = 2P/(0.5)2 = 8P C = I = 4P / (2) (2) ^2 = P case Case (1)2 = 3P: D = I = 3P E = I = 2P /(1.5) (1.5) ^2 = 0.8 P

B > D > A=C > E will be the order of light intensity, from greatest to least.

rank the light intensity, from largest to smallest, at the point p in the figures?

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What is the temperature difference across a properly operating electric furnace that is using a 10-kW electric heater and is moving 900 cfm of air?

A. 30. 2°F

B. 35. 1°F

C. 40. 4°F

D. 45. 6°F

Answers

The answer to the given question is option C: 40.4°F. Let's see the explanation below.How to find the temperature difference across a properly operating electric furnace?

]We know that the temperature difference across a properly operating electric furnace is given by:ΔT = (Q / (1.08 * CFM))where,Q is the rate of heat input in BTU/hr,1.08 is the factor to convert CFM to lb/min,and CFM is the rate of air flow in cubic feet per minute.So, here,ΔT = (Q / (1.08 * CFM))

Given,The rate of heat input = 10 kW = 34,120 BTU/hrThe rate of air flow = 900 CFMPlugging these values in the above equation, we get:ΔT = (34,120 / (1.08 × 900))ΔT = 40.4°FTherefore, the temperature difference across a properly operating electric furnace that is using a 10-kW electric heater and is moving 900 cfm of air is 40.4°F. Hence, the main answer is option C.

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The temperature difference across the electric furnace is approximately 30.2°F (option A).

To calculate the temperature difference across the electric furnace, we can use the formula:

Temperature difference (ΔT) = Heat (Q) / (Airflow rate * Specific heat capacity * Density)

First, let's convert the power of the electric heater from kilowatts (kW) to watts (W):

10 kW = 10,000 W

Next, we need to determine the specific heat capacity of air. Typically, it is around 0.24 BTU/lb°F.

Since the given airflow rate is in cubic feet per minute (cfm), we need to convert it to pounds per minute (lb/min) using the density of air. The density of air at standard conditions is approximately 0.075 lb/ft³.

Converting 900 cfm to lb/min:

900 cfm * 0.075 lb/ft³ = 67.5 lb/min

Now we can substitute the values into the formula:

ΔT = 10,000 W / (67.5 lb/min * 0.24 BTU/lb°F * 0.075 lb/ft³)

Simplifying the equation:

ΔT = 10,000 W / (67.5 * 0.24 * 0.075) (lb/min * BTU/lb°F * lb/ft³)

Calculating the result:

ΔT ≈ 30.2°F

Therefore, the temperature difference across the electric furnace is approximately 30.2°F, which corresponds to option A.

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The escape velocity of a rocket from the earth is 11kms^-1. Taking the acceleration due to gravity as 9.8ms^-2, calculate the radius of the earth.

Answers

Answer:

6.37*10^6 m

Explanation:

We know that,

g = GM/R²

values given to us

acceleration due to gravity = g = 9.8 m/s²

Mass of the earth is= 6.4*10^24

G = 6.67*\(10^{-11}\)

implementing

9.8 = 6.67*10^-11 * 6*10^24/R^2

9.8 = 40.02 * 10^13/ R^2

R^2 = 4002/98 * 10^12

R^2 = 40.83* 10^12

R= 6.37*10^6 m   (approximately)

A capacitor of capacitance C is initially connected to a power supply and charged fully until the potential difference across its plates is 30 V. Then the capacitor is disconnected from the power supply and connected to an inductor of inductance L at t=0. The resulting circuit is shown in the simulation (linked below). An ideal ammeter measures the current i(t) in the loop as a function of time t. Run the animation now. Several points to consider are: - A blue arrow inside the ammeter shows the direction and size of the current i(t) at instant t. The current oscillates with time. - The electric field between the capacitor plates is represented both by a purple arrow and purple shading. The electric field oscillates with time. - The magnetic field between the inductor coils is represented both by a green arrow and green shading. The magnetic field also oscillates with time. - Plots of current i versus time t/T (scaled by the period T of the oscillations) and capacitor charge q versus scaled time t/T are shown. - Bar charts of the stored electrical energy UE​ in the capacitor and stored magnetic energy UB​ in the inductor are shown. Simulation LC Circuit Question 1 What is the capacitance C of the capacitor? Enter a numerical value in the box below. eTextbook and Media Attempts: unlimited

Answers

According to the question, A capacitor of capacitance C is initially connected to a power supply and charged fully until the potential difference across its plates is 30 V.

Then the capacitor is disconnected from the power supply and connected to an inductor of inductance L at t=0. The simulation provides several points to consider, including: - A blue arrow inside the ammeter shows the direction and size of the current i(t) at instant t. The current oscillates with time. - The electric field between the capacitor plates is represented both by a purple arrow and purple shading. The electric field oscillates with time. - The magnetic field between the inductor coils is represented both by a green arrow and green shading. The magnetic field also oscillates with time. - Plots of current i versus time t/T (scaled by the period T of the oscillations) and capacitor charge q versus scaled time t/T are shown. - Bar charts of the stored electrical energy UE​ in the capacitor and stored magnetic energy UB​ in the inductor are shown.  What is the capacitance C of the capacitor?

The capacitance of the capacitor is 20 μF. When the capacitor is initially connected to a power supply, it gets fully charged until the potential difference across its plates is 30 V. The charged capacitor is then disconnected from the power supply and connected to an inductor of inductance L at t=0. The simulation then shows how the current, electric field, and magnetic field oscillate with time. The plots of current i versus time t/T and capacitor charge q versus scaled time t/T are also shown. Finally, the bar charts of the stored electrical energy UE​ in the capacitor and stored magnetic energy UB​ in the inductor are displayed.

Therefore, the capacitance of the capacitor is 20 μF.

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what is the difference between a tanker truck carrying liquid loads and a truck carrying solid objects

Answers

Compared to a tanker truck carrying a solid load, the tanker carrying a liquid load will exert pressure on a larger surface of the container.

The molecules of the liquid load in the bulk will change more in response to movement or vibration than the solid load because liquids have the ability to flow. While the container for the solid load has no such limitations, the one for the liquid load needs to be leak-proof.

The bottom surface of the tanker truck will be under the most pressure from a solid cargo, but a liquid load will distribute pressure evenly over the area of contact. In contrast to liquid loads, which need compartments in the tanker to reduce variations during acceleration and deceleration, solid loads can be restrained by fixtures.

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What happens when light goes through a prism gizmo.

Answers

Since each color is refracted at a slightly different angle, the result is that the light splits into band of colors.

hope this helps!

a car drives over the top of a hill that has a radius of 45 m. what maximum speed can the car have without flying off the road at the top of the hill?

Answers

Answer:

a = v^2 / R     centripetal acceleration of car

If a exceeds g then the car would leave the road

v = (a R)^1/2 = (9.80 * 45)^1/2 = 21 m/s

The speed must not exceed 21 m/s

Note (60 mph = 26.8 m/s)

The maximum speed that the car can have without flying off the road at the top of the hill is approximately 30.2 m/s.

To determine the maximum speed that a car can have without flying off the road at the top of a hill, we need to consider the centripetal force and the gravitational force acting on the car.

At the top of the hill, the gravitational force acting on the car is directed downwards, while the centripetal force required to keep the car moving in a circular path is directed upwards. The maximum speed that the car can have is the speed at which the gravitational force just balances the centripetal force.

The centripetal force required to keep the car moving in a circle of radius 45 m is given by:

\(F_c = mv^2/r\)

where m is the mass of the car, v is its speed, and r is the radius of the circle.

The gravitational force acting on the car is given by:

\(F_g = mg\)

where g is the acceleration due to gravity and m is the mass of the car.

For the car to remain on the road at the top of the hill, the centripetal force must be equal to the gravitational force, so:

\(F_c = F_g\)

\(mv^2/r = mg\)

Simplifying this expression gives:

\(v^2 = rg\\v = \sqrt{rg}\)

Substituting the values of r and g gives:

\(v = \sqrt{45 m * 9.81 m/s^2} v = 30.2 m/s\)

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Specify the coordinate system (Cartesian, cylindrical, spherical) you would use, along with any relevant assumptions, when modeling transport processes in each of the following scenarios: a. Energy loss through a flat double-pane window b. Produced fluid motion when coffee is stirred in a typical mug c. evaporation of beads of water from waterproof surfaces d. The transfer of dissolved oxygen from a culture medium into sphere-shaped cells e. Energy dissipation from the skin of a tall and skinny human f. Water evaporation of beads of water from waterproof surfaces g. heating of a cold bottle of alcoholic cider by a warm hand

Answers

a. Cartesian coordinate system would be appropriate to model energy loss through a flat double-pane window.

b. Cartesian coordinate system can be used to model the produced fluid motion when coffee is stirred in a typical mug.

c. Cartesian coordinate system would be suitable to model the evaporation of beads of water from waterproof surfaces.

d. Spherical coordinate system is appropriate to model the transfer of dissolved oxygen from a culture medium into sphere-shaped cells.

e. Cylindrical coordinate system would be suitable to model energy dissipation from the skin of a tall and skinny human.

f. Cartesian coordinate system can be used to model water evaporation of beads of water from waterproof surfaces.

g. Cartesian coordinate system would be appropriate to model the heating of a cold bottle of alcoholic cider by a warm hand.

a. For energy loss through a flat double-pane window, the Cartesian coordinate system is appropriate as it allows modeling in a 2D plane, where the window can be represented by a rectangular shape with x and y coordinates.

b. The produced fluid motion when coffee is stirred in a typical mug can also be modeled using the Cartesian coordinate system, as it allows capturing the 2D motion of the fluid within the mug.

c. The evaporation of beads of water from waterproof surfaces can be modeled using the Cartesian coordinate system, where the surface can be represented by a 2D plane, and the evaporation process can be analyzed in that plane.

d. The transfer of dissolved oxygen from a culture medium into sphere-shaped cells can be modeled using the spherical coordinate system, as it allows capturing the radial distance and angles associated with the transfer process.

e. Energy dissipation from the skin of a tall and skinny human can be modeled using the cylindrical coordinate system, as it allows analyzing the heat transfer in a cylindrical-shaped body, considering radial and height coordinates.

f. Water evaporation of beads of water from waterproof surfaces can be modeled using the Cartesian coordinate system, similar to scenario c, where the evaporation process is analyzed on a 2D plane.

g. The heating of a cold bottle of alcoholic cider by a warm hand can be modeled using the Cartesian coordinate system, as it allows analyzing the heat transfer in a 3D space, considering x, y, and z coordinates.

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The Riteway Ad Agency provides cars for its sales staff. In the past, the company has always purchased its cars from a dealer and then sold the cars after three years of use. The companys present fleet of cars is three years old and will be sold very shortly. To provide a replacement fleet, the company is considering two alternatives:Purchase alternative: The company can purchase the cars, as in the past, and sell the cars after three years of use. Ten cars will be needed, which can be purchased at a discounted price of $20,000 each. If this alternative is accepted, the following costs will be incurred on the fleet as a whole:Annual cost of servicing, taxes, and licensing$ 5,300Repairs, first year$ 3,200Repairs, second year$ 5,700Repairs, third year$ 7,700At the end of three years, the fleet could be sold for one-half of the original purchase price.Lease alternative: The company can lease the cars under a three-year lease contract. The lease cost would be $72,000 per year (the first payment due at the end of Year 1). As part of this lease cost, the owner would provide all servicing and repairs, license the cars, and pay all the taxes. Riteway would be required to make a $16,000 security deposit at the beginning of the lease period, which would be refunded when the cars were returned to the owner at the end of the lease contract.Riteway Ad Agencys required rate of return is 16%.Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using tables. (Use the tables to get your discount factors. The linked tables are the same tables as the ones in your course packet. If you calculate discount factors using Excel or a financial calculator, your answer may be different enough due to rounding that the system will mark it wrong.)Required: 1. What is the net present value of the cash flows associated with the purchase alternative?2. What is the net present value of the cash flows associated with the lease alternative?3. Which alternative should the company accept? Which of the following is a disadvantage of a semi-structured data warehouse for storing information?A. Support for lists of objects simplifies data models by avoiding the messy translations of lists into a relational data model.B. The traditional relational data model has a popular and ready-made query language, SQL.C. Support for nested or hierarchical data often simplifies data models representing complex relationships between entities.D. A programmer can serialize objects via a lightweight library. [amc10b.2011.7] the sum of two angles of a triangle is $\frac{6}{5}$ of a right angle, and one of these two angles is $30^{\circ}$ larger than the other. what is the degree measure of the largest angle in the triangle? Why was Hurricane Katrina devastating to New Orleans? Below is the graph that the student attached to her report. NaOH HCI 26 25.5 24.5 p 24 23.5 23 22.5 22 21.5 10 Time (min) Let's think how we can use it to calculate the heat of neutralization reaction. Notice: In this experiment, the student measured the change in temperature not for the system itself but for the surroundings (solution). The solution is diluted and we can safely consider its specific heat and its density to be the same as for pure water: c 4.18 J/g-oCand d 1.00 g/cm3(a) What is the change in temperature recorded in this experiment? AT Did the system loose or gain energy in this experiment? Explain(b) Calculate how much heat (in joules) transferred between the system and the surroundings in this experiment.(c) Calculate the molar heat of the neutralization reaction (in kJ/mol) (d)Is the neutralization reaction endo or exothermic? Can you suggest one reason why this can be true?(d)Is the neutralization reaction endo or exothermic? Can you suggest one reason why this can be true? Suppose f is the probability density function (PDF) and F is the cumulative distribution function (CDF) for the weight (in grams) of a newborn puppy. Interpret the statement 500 sentence, including units. { $(a)dx = 0.25. Your answer should be a complete An operating system uses available storage space on a startup drive for _____. Select all that apply.A. storing programsB. virtual memoryC. storing appsD. virtual reality What are additional safeguards that may be included in a social and behavioral study which of the following are characteristics of teredo tunneling? (select three.) answer a. is configured between individual hosts can be used to send data over the internet b. is configured between routers at different sites c. has dual-stack hosts uses an ipv6 address static association for the ipv4 address d. has dual-stack routers can't be used to send data over the internet A partially completed pension spreadsheet showing the relationships among the elements that comprise the defined benefit pension plan of Universal Products is given below. The actuary's discount rate is 5%. At the end of 2011, the pension formula was amended, creating a prior service cost of $120,000. The expected rate of return on assets was 8%, and the average remaining service life of the active employee group is 20 years in the current year as well as the previous two years. Copy the incomplete spreadsheet and fill in the missing amounts. atlas door created competitive advantages in overall low cost leadership and differentiation by creating _____ among value-chain activities. group of answer choices a. linkagesb. disadvantages c. substitutesd. advantages Find the average rate of change of the area of a circle withrespect to its radius r as r changes from2 to each of the following.(i) 2 to 3 (ii) 2 to 2.5 (iii) 2 to 2.1 Limited and general are the two traditional subcategories of which of the following business entities?a. Partnershipb. Limited liability companyc. Corporationd. Sole proprietorship is a legal system which is based on a detailed set of written rules and statutes that constitute a legal code. All but one of the following is an aspect of messages that foster the peripheral route. Which one is not?A) Message order.B) Format.C) Distractions.D) Source Credibility.E) All of the above are aspects of the messages of the peripheral route. p(b)=1/4 p(a and b)=3/25 p(a/b(= FILL IN THE BLANK. The majority of correctional activity takes place at the ________ level.