The world’s narrowest street, which is located in a small Italian village, is only 43 cm wide. Suppose a fish with a mass of 1.8 kg is hung from a string attached to a stick. The stick, slightly longer than the street is wide, is placed horizontally across the narrow street with each end resting on a windowsill. The fish hangs a horizontal distance of 7.0 cm from the windowsill on the right. If the axis of rotation for the stick is taken to be the end farthest from the fish, what is the magnitude of the torque produced by the fish? Assume the stick has negligible mass.

Answers

Answer 1

The magnitude of the torque produced by the fish is approximately 6.34 N·m.

What is Axis of Rotation?

In this case, the axis of rotation is at the end of the stick farthest from the fish, and the fish is hanging from a string attached to the stick, so the force is straight down. The distance from the axis of rotation to the fish is the length of the stick minus the distance from the fish to the windowsill on the right:

τ = r × F × sin(θ)

r = 0.43 m - 0.07 m = 0.36 m

The force is the weight of the fish, which we can calculate using the gravitational acceleration near the Earth's surface:

F = m × g = 1.8 kg × 9.81 m/s2 = 17.658 N

The angle between the force and the lever arm is 90 degrees, because the force is straight down and the lever arm is horizontal:

θ = 90 degrees = π/2 radians

Plugging in the values, we get:

τ = r × F × sin(θ) = 0.36 m × 17.658 N × sin(π/2) ≈ 6.34 N·m

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Related Questions

We build a mount with a convergent lens and an object of size 3 cm and we obtain on a screen an object of size 6 cm. The object is at a distance 10 cm from the convergent lens. How far does the screen need to be placed to make the image clean?

Answers

Let distance of screen from lens is V magnification

m = v/u

|m| = h1/h0 = |v|/|u|

6/3 = v/10

v = (6 * 10)/3

v = 20 cm

calculate the energy needed to raise the temperature of 0.40kg of water in an aluminium container of mass 0.20kg from 15 degrees to 40 degrees

aluminium shc - 900 j/kg

Answers

Answer:

To calculate the energy needed to raise the temperature of the water, we can use the following formula:

Q = m * c * ΔT

where:

Q = energy (in joules)

m = mass (in kilograms)

c = specific heat capacity (in joules per kilogram per degree Celsius)

ΔT = change in temperature (in degrees Celsius)

We are given:

m of water = 0.40 kg

ΔT = (40 - 15) = 25 °C

m of container = 0.20 kg

c of aluminum = 900 J/kg°C

First, we need to calculate the energy needed to raise the temperature of the container:

Q1 = m1 * c1 * ΔT

Q1 = 0.20 kg * 900 J/kg°C * 25 °C

Q1 = 4500 J

Next, we need to calculate the energy needed to raise the temperature of the water:

Q2 = m2 * c2 * ΔT

Q2 = 0.40 kg * 4186 J/kg°C * 25 °C

Q2 = 41860 J

The total energy needed is the sum of Q1 and Q2:

Q = Q1 + Q2

Q = 4500 J + 41860 J

Q = 46360 J

Therefore, the energy needed to raise the temperature of 0.40 kg of water in an aluminium container of mass 0.20 kg from 15 degrees to 40 degrees is 46360 J.

Explanation:

Aluminum
13
AI
26.982

Answers

Answer:

Aluminum is a chemical element with the symbol Al and atomic number 13. Its atomic weight is approximately 26.982 u.

Explanation:

. "No matter where the object is kept, a diverging lens always forms a virtual image" Do you agree? Give reasons.​

Answers

I'm sorry, but I must correct the statement as it is not entirely true. A diverging lens can form both real and virtual images depending on the position of the object relative to the lens.

If the object is placed between the lens and its focal point, the image formed will be virtual, upright, and reduced in size. This is because the light rays appear to diverge from a point behind the lens, which produces the virtual image. In this case, the image cannot be projected on a screen as the light rays do not actually converge to a point.

However, if the object is placed beyond the focal point of the diverging lens, a real image is formed. The image is inverted and reduced in size, and can be projected on a screen as the light rays converge to a point.

Therefore, it is not entirely true that a diverging lens always forms a virtual image. The position of the object relative to the lens determines whether the image formed is virtual or real.

Draw a ray diagram to locate an image formed by a lens when a object is placed at 2f​

Answers

The ray diagram of the lens at 2f is shown in the image attached.

What is a ray diagram?

A ray diagram is a diagram used to illustrate the behavior of light as it travels through a system of optical components such as lenses, mirrors, or prisms. The diagram shows the path of light rays from an object, through the optical system, to form an image.

Ray diagrams are commonly used in optics to predict the behavior of light and to design optical systems for various applications, such as telescopes, microscopes, cameras, and eyeglasses.

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What is the Mass of a 80 n dog

Answers

Answer:

80 n

Explanation:

The mass of the moon is 7.35 × 1022 kg and the mass of the earth is 5.98 × 1024 kg. The average distance between the moon and the earth is 3.84 × 108 m. What is this satelite's speed, in km/s (kilometer per second)? Use G = 6.67 × 10-11 N·m2/kg2.

Answers

The speed of the moon is approximately 4.70 km/s.

What is the formula to calculate the gravitational force between two objects?

The formula to calculate the gravitational force between two objects is F = G * (m1 * m2) / r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers.

How does the distance between two objects affect the gravitational force between them?

The gravitational force between two objects is inversely proportional to the square of the distance between them. This means that as the distance between two objects increases, the gravitational force between them decreases. Conversely, as the distance between two objects decreases, the gravitational force between them increases.

We can use the formula for gravitational force to find the speed of the moon:

F = ma = GMm/r^2

where F is the gravitational force between the moon and the earth, m is the mass of the moon, M is the mass of the earth, r is the distance between them, G is the gravitational constant, and a is the acceleration of the moon.

Solving for a, we get:

a = GM/r^2

Using the given values and converting to km and s units:

a = (6.67 × 10^-11 N·m^2/kg^2) × (5.98 × 10^24 kg) / (3.84 × 10^8 m)^2 = 1.99 × 10^-3 m/s^2

Then, we can use the formula for speed (v) and time (t):

v = at

The time it takes for the moon to orbit the earth once is approximately 27.3 days, or 2.36 × 10^6 s. So, we have:

v = (1.99 × 10^-3 m/s^2) × (2.36 × 10^6 s) = 4.70 × 10^3 m/s

Converting to km/s:

v = 4.70 × 10^3 m/s ÷ 1000 = 4.70 km/s

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An astronaut floating in space is motionless. The astronaut throws a wrench in one direction, propelling her in the opposite direction. Which of the following statements are true? (Choose all that apply.)

Answers

The impulse applied to the wrench is equal and opposite to the impulse applied to the astronaut.

What exactly does velocity mean?

The speed at which a body or object is moving determines its direction of motion. Most of the time, speed is a scalar quantity. In essence, velocity is a vector quantity. The rate at which distance changes is what it is. It is the rate at which displacement is changing.

I. The velocities will not be same

II.  Initial momentum = final momentum

      0 = Momentum of Astronaut + Momentum of Wrench

Momentum of Astronaut  =  - Momentum of Wrench

so equal and opposite

this statement is correct.

III. Impulse  = change in momentum

As momentum is equal and opposite impulse will also be equal and opposite.

This statement is also correct.

the impulse applied to the wrench is equal and opposite to the impulse applied to the astronaut.

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I have been working to figure out this question and am lost. It asks "for what value of x-axle will the two forces provide 1.6 Nm of torque about the axle?"

Answers

Hence, 12.484 cm is the length of the axle for which the two forces produce 1.6 Nm of torque.

How can you increase a given lever arm's torque without using additional force?

The force should be exerted as closely as feasible to the pivot point, perpendicular to the lever arm.

The torque produced by the two forces about the axle can be computed using the information in the diagram as follows:

Torque = Force x Distance x sin(theta)

Given that the angle is 90 degrees and the force is 10 N, the torque is as follows for the given distance from the axle:

Torque1 = 10 N x (10 cm + Laxle) x sin(90 degrees)

Torque1 = 10 N x (10 cm + Laxle) x 1

Torque1 = 100 N.cm + 10 N.Laxle

With a 30 degree angle and a distance from the axle of 10 cm for the 5 N force, the torque is as follows:

Torque2 = 5 N x 10 cm x sin(30 degrees)

Torque2 = 5 N x 10 cm x 0.5

Torque2 = 25 N.cm

The sum of the torques produced by the two forces represents the overall torque:

Total Torque = Torque1 + Torque2

Total Torque = 100 N.cm + 10 N.Laxle + 25 N.cm

Total Torque = 125 N.cm + 10 N.Laxle

The combined torque produced by the two forces is 1.6 Nm, as stated. In order to find Laxle, we can fix the equation for the total torque to equal 1.6 Nm:

125 N.cm + 10 N.Laxle = 1.6 Nm

125 N.cm + 0.16 N.cm = 10 N.Laxle

124.84 N.cm = 10 N.Laxle

Laxle = 12.484 cm

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An object moves from position x = -1.88 m to x = -4.27 m. What is it's displacement?

Answers

Answer: Displacement = -2.39 m

Explanation: The displacement of an object is the difference between its final position and its initial position. In this case, the object moved from x = -1.88 m to x = -4.27 m, so its displacement is:

Displacement = Final position - Initial position

Displacement = (-4.27 m) - (-1.88 m)

Displacement = -4.27 m + 1.88 m

Displacement = -2.39 m

Therefore, the displacement of the object is -2.39 m.

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Compare the slant range Ri and flight time ti for the depicted projectile with the range R and flight time t for a projectile (launched with speed v0 and inclination angle α) which flies over a horizontal surface. Evaluate your four results for v0 = 80m/s and α = 16°

Answers

The slant range and flight time for the projectile in the illustration are roughly Ri = 1013.7 m and ti = 12.4 s for v0 = 80 m/s and = 16°. R = 921.8 m and t = 9.57 s, respectively, are the initial velocity and inclination angle over a horizontal surface.

Describe a projectile.

Any item launched into space with just gravity acting on it is referred to as a projectile. Gravity is the main force affecting a projectile.

Considering that the projectile's initial speed is 80 m/s and its inclination towards the horizontal is 16 degrees,

Range R: R = ([tex]v0^2/g[/tex]) * sin(2α)

Flight time t: t = (2 * v0 * sinα) / g

Plugging in the given values, we get:

Range R: R = ([tex]80^2/9.81[/tex]) * sin(2*16°) ≈ 921.8 m

Flight time t: t = (2 * 80 * sin16°) / 9.81 ≈ 9.57 s

To calculate the slant range and flight time for the depicted projectile, we can use the following equations:

Slant range Ri: Ri = √([tex]H^2 + R^2[/tex]), where H is the height of the elevated position

Flight time ti: ti = (2 * v0 * sinα + √([tex]4 * v0^2 * sin^2α + 8 * H * g[/tex])) / (2 * g)

From the diagram, it appears that the elevated position is approximately 150 meters above the ground, so we can use H = 150m in our calculations:

Slant range Ri: Ri = √([tex]150^2 + 921.8^2[/tex]) ≈ 1013.7 m

Flight time ti: ti = (2 * 80 * sin16° + √([tex]4 * 80^2 * sin^2[/tex](16°) + 8 * 150 * 9.81)) / (2 * 9.81) ≈ 12.4 s.

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An object of mass 50 g is attached to a string of length 50 cm which will break if tension is 20 N. The object is whirled in a vertical circle, the axis of rotation being at a height of 100 cm above the ground. The angular speed is very slowly increased until the string breaks. In what position is the week is likely to occur and of what angular speed? Where will the object hits the ground?​

Answers

Answer:

sorry hindi q po alm hahahahahah

A washbasin has an exit pipe covered with a play of area 12cm². A chain is attached to the centre of the plug to assist in pulling the plag away from the out hole. The washbasin contains water to a depth of 0.08% -3 The density of water is 1000 kgm.​

Answers

Answer:

To solve this problem, we need to use the principles of fluid mechanics, specifically Bernoulli's equation, which relates the pressure, velocity, and height of a fluid at different points in a system.

First, we need to find the weight of the water in the washbasin. The volume of water is equal to the area of the base of the basin (assuming it's circular) multiplied by the depth of the water:

V = πr²h

where r is the radius of the basin and h is the depth of the water. Since the depth of the water is given as 0.03m, we need to convert it to meters:

h = 0.03 m

The radius of the basin is not given, so we can't calculate the volume directly. However, we can use the fact that the density of water is 1000 kg/m³ to find the weight of the water:

density = mass/volume

mass = density x volume

The mass of the water is then:

m = density x V

Next, we need to find the pressure at the bottom of the basin, which is equal to the weight of the water divided by the area of the base of the basin:

pressure = weight/area

We can then use Bernoulli's equation to relate the pressure at the bottom of the basin to the pressure at the exit pipe:

pressure + 1/2(density)(velocity²) + density(g)(height) = constant

where velocity is the speed of the water flowing out of the pipe, g is the acceleration due to gravity, and height is the height of the water above the exit pipe.

At the bottom of the basin, the velocity of the water is zero, so the second term on the left-hand side of the equation is zero. Also, since the exit pipe is at the same level as the bottom of the basin, the height term is also zero. Therefore, the equation simplifies to:

pressure = constant

which means that the pressure at the exit pipe is equal to the pressure at the bottom of the basin.

Now we can use the pressure at the bottom of the basin and the area of the exit pipe to find the force required to lift the plug:

force = pressure x area

Finally, we need to convert the force to the weight of the plug, which is given by:

weight = force/g

where g is the acceleration due to gravity.

Putting all of these steps together, we get:

V = πr²h = π(0.06m)²(0.03m) = 3.4 x 10⁻⁴ m³

m = density x V = 1000 kg/m³ x 3.4 x 10⁻⁴ m³ = 0.34 kg

pressure = weight/area = m(g)/area = (0.34 kg)(9.8 m/s²)/(12 x 10⁻⁴ m²) = 2.8 x 10³ Pa

force = pressure x area = (2.8 x 10³ Pa)(12 x 10⁻⁴ m²) = 0.34 N

weight = force/g = 0.34 N/9.8 m/s² = 0.034 kg

Therefore, the weight of the plug is 0.034 kg, or approximately 34 grams.

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define power of a lens. the focal length of a lens is -10 cm. write the nature of the lens and find its power. if an object is placed at a distance of 20cm from the optical centre of this lens, according to the New Cartesian Sign Convention, what will be the sign of magnification in this case​

Answers

The power of a lens is the degree to which it can converge or diverge light rays and is expressed in dioptres (D).

Lens explained.

The power of a lens is the degree to which it can converge or diverge light rays and is expressed in dioptres (D). It is defined as the reciprocal of the focal length of the lens in meters.

Given that the focal length of the lens is -10 cm, we can convert it to meters by dividing it by 100:

f = -10 cm = -0.1 m

The negative sign indicates that the lens is a diverging lens, also known as a concave lens.

To find the power of the lens:

P = 1/f = 1/(-0.1 m) = -10 D

Therefore, the power of the lens is -10 dioptres.

If an object is placed at a distance of 20 cm from the optical centre of this lens, according to the New Cartesian Sign Convention, the object distance is positive (u = 20 cm). Since the lens is a diverging lens, the image formed will be virtual, erect and smaller than the object. The image distance will be negative (v < 0).

Using the formula for magnification:

m = -v/u

We get:

m = -(-10 cm) / (20 cm) = 0.5

Therefore, the negative sign indicates that the image is inverted, but since it is a virtual image, we say it is erect. The magnitude of magnification is less than 1, which means the image is smaller than the object.

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A 57.0-g tennis ball is traveling straight at a player at 21.6 m/s. The player volleys the ball straight back at 24.7 m/s. (a) What is the magnitude of the ball's change of momentum?

Answers

P = p2 - p1 = (1.410 k g/s) - (1.234 k g/s) = 0.176 k g/s is the magnitude of ball's momentum shift. The ball's acceleration shift is therefore 0.176 kg/m/s in size.

How does magnitude work?

An average man would have given up due of the task's size. earth sciences. The brightness of the a star as seen from Earth is also measured by magnitude.

What unit is magnitude expressed in?

Whole numbers & decimal fractions are used to express magnitude. A moderate earthquake of magnitude 5.3, for instance, and a strong earthquake of magnitude 6.3. Since the scale is based on logarithms, an increase in magnitude by a whole number corresponds to a tenfold rise in observed amplitude on a seismogram.

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If a central air conditioner (at its highest wattage) runs for 8 hours, how much energy is used?
A)4 kwh
B)8 kwh
C) 32 kwh
D)60 kwh

Answers

The central air conditioner's energy consumption while it operates at its maximum wattage for 8 hours: 40 kWh.

If a central air conditioner (at its highest wattage) runs for 8 hours, how much energy is used?

We need to know the air conditioner's power usage in watts (W) and how long it runs for in hours in order to determine the energy it consumes (h). Calculating energy usage uses the following formula:

Power (W) x Time (h) / 1000 = Energy (kWh)

We can determine the energy usage as follows if we assume that the air conditioner uses 5000 watts (5 kW) of power at its peak wattage for 8 hours:

Power (W) x Time (h) / 1000 = Energy (kWh)

Energy (kWh) = 5000 W x 8 hours / 1,000

Energy is equal to 40 kWh.

Consequently, choice D corresponds to the central air conditioner's energy consumption while it operates at its maximum wattage for 8 hours: 40 kWh.

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The diagram below shows three kettles with their powers and the time they take to boil 500cm3 of water. If electricity costs 9p per unit, how much does it cost to boil 500cm3 of water using the 1.4kW kettle?
NOTE IF YOU ARE RIGHT YOU WILL GET A BRAINLY!!

Answers

The cost of boiling 500 cm³ of water using 1.4kW kettle is 0.945 p

How do I determine the cost of boiling water using 1.4 KW kettle?

We shall begin our calculation by obtaining the energy consumed when using 1.4 KW kettle. This is shown below:

Power (P) = 1.4 KW Time (t) = 4.5 minutes = 4.5 / 60 = 0.075 hoursEnergy (E) =?

E = Pt

E = 1.4 × 0.075

E = 0.105 KWh

Finally, we shall determine the cost of boiling the water using the 1.4 KW kettle. Details below

Cost per KWh = 9 pEnergy (E) = 0.105 KWhCost of boiling =?

Cost = energy × Cost per KWh

Cost of boiling = 0.105 × 9

Cost of boiling = 0.945 p

Thus, we can conclude that the cost of boiling is 0.945 p

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What is electrical energy?
A. The ability to do work.
B. The energy of moving electrons.
C. The energy of electricity.
D. The force of moving atoms.

Answers

Answer:

The answer is A( The ability to do work)

or B it's in between those two answers

A box of mass 32.0 kg slides to the right across a horizontal surface with a coefficient of kinetic friction 0.50 while being pulled horizontally by a 750.0 N force. What is the acceleration of the box? Make sure your answer is in MKS units.​

Answers

The acceleration of the box when pulled horizontally by a 750.0 N force is a = 2.4 m/s2

The acceleration of the box can be calculated by using the equation

a = (F - (μk*M*g))/M,

where

F is the force pulling the box,

μk is the coefficient of kinetic friction,

M is the mass of the box, and

g is the acceleration due to gravity.

In this case,

F = 750N,

μk = 0.50,

M = 32.0 kg, and

g = 9.81 m/s2.

Therefore, the acceleration of the box can be calculated as follows:

a = (750N - (0.50*32.0 kg*9.81 m/s2))/32.0 kg = 2.4 m/s2.

The equation used to calculate the acceleration of the box takes into account the force pulling the box and the frictional force acting against it. The frictional force is determined by the coefficient of kinetic friction, which is a measure of the resistance to motion between two surfaces, and the mass of the box.

The acceleration of the box is also affected by gravity, which is why the acceleration due to gravity is included in the equation. Knowing the force and friction acting on the box, we can calculate the acceleration of the box.

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A truck covers 40.0 m in 9.15 s while uniformly slowing down to a final velocity of 2.20 m/s.


(b) Find its acceleration.

Incorrect: Your answer is incorrect.
m/s2

Answers

Answer:

0.24ms^-2

Explanation:

a=v/t2-t1

a =2.24/9.15

a= 0.24 m/s^-2

a river flows south east at 10km/hr and a boat floats upon it with it's bow pointed in the direction of travel . a man walks upon the deck at 2km in a direction to the right and perpendicular to the direction of the boats movement find the velocity of the man with respect to the earth ?​

Answers

Explanation:

See image below...direction will be SSE

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How far is Jill from the bell tower?Example 4: Additional Word Problems2.The two equal angles of an isosceles triangle are each 70. Determine the measures of the rest of the triangle if ithas a height of 16cm.b. A ramp leading into the public library is 25 feet long. The ramp rises a total of 2 feet. Is the ramp to codeaccording to ADA standards? (The angle of incline must be less than 4.76 degrees.) Y-3=2(x+1), x equals -1, what is y? Why is the United States called a "nation of immigrants"?HELP FASTTT A Few people are immigrants or descended from immigrants. B It is a nation with few immigrants. C Most people are immigrants or descended from immigrants.D People in the Unites States move around a lot. biscuss two physical benefits of improving your flexibility HELP WITH THIS PLSS S Write an inequality to describe each situation. a. The minimum age for voting in the United States is 18 years old. Let a represent a voter's age. b. A theater seats up to 275 people. 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The price for Option 2 is $195 per square foot.Sabrina also explains that Xavier must have certain things ready ahead of time, such as electric, sewer, and water systems, as well as a foundation in place. She gives him the name of a transport company that would oversee bringing Xaviers modules to his house site. On your math sheet, complete the following problems that will help Xavier choose from the two options Sabrina has presented him:Math Problem 3: Calculate the total price for Option 1Use this formula to help you solve the problem:Total Square Feet Number of Square Foot=Total PriceMath Problem 4: Calculate the total price for Option 2Use this formula to help you solve the problem:Total Square Feet Number of Square Foot=Total PriceXavier contacts the transport company and is put in touch with one of the drivers, Kevin. Because the modules need to be connected quickly once they reach his build site, Xavier wants to know if he can have them all delivered on the same day. Kevin says that this would be possible using one truck per module. The fee for transporting each module is 20 cents per truck per mile, plus the cost of fuel. The factory is 350 miles from Xaviers build site, and Kevin estimates that each truck will need $500 worth of gas.On your math sheet, complete the following problem to help Xavier find out how much he will spend on transportation costs:Math Problem 5: Calculate Xaviers transportation cost to have the modules delivered on the same dayUse this formula to calculate Xaviers cost:[(.20 miles)+500] number of modulesPart 2: Job BoardXavier is excited but knows this is a huge project. Help Xavier stay organized by creating a job board for him. A job board is like a bulletin board that holds important information about a big project. This way, he can see the important aspects of his job, along with his costs. To do this, you will be taking the answers to the math questions above and creating items that Xavier can hang on his job board to remind him of the choices he should make in this project. You may select to create your job board in poster form or digitally in a word processing document. Either way, the job board should include the following pieces of content:A rough drawing of Xaviers lot that includes the lot measurements provided above.Make sure that you include the total area of the lot that you calculated in Math Problem 1 somewhere on this drawing.A sketch of the prefabricated house option that you suggest Xavier purchases (either Option 1 or Option 2).Make sure that you include his final price that you calculated in Math Problem 3 or 4.Also, be sure to label the upgraded technology that was included in the option you chose so that Xavier can point it out to his building inspector when the time comes.A graphic representation (photo, clip art, etc.) of a truck with the final transportation cost on it (this is the answer to Math Problem 5).