A large storage tank, open to the atmosphere at the top and filled with water, develops a small hole in its side at a point 16.0 m below the water level. If the rate of flow from the leak is 2.50 × 10–3 m3/min, determine (a) the speed at which the water leaves the hole and (b) the diameter of the hole.

Answer:

x-component = 50√3

y-component = 50

Explanation:

Two-dimensional vectors consist of two components which are x-component and y-component. The vector equation can be written as:

[tex] \displaystyle{ \vec v = x \hat i + y \hat j}[/tex]

Each components also can be written in trigonometric form:

[tex] \displaystyle{x = | \vec v| \cos \theta} \\ \displaystyle{y = | \vec v| \sin \theta}[/tex]

The absolute of vector is called magnitude of vector which is already given in the problem (100 m). The measurement or theta is also given as well, therefore:

[tex] \displaystyle{x = 100 \cos 30 \degree } \\ \displaystyle{y = 100\sin 30 \degree}[/tex]

Then evaluate, we have to know that sin30° is 1/2 and cos30° is √3/2.

[tex] \displaystyle{x = 100 \times \dfrac{ \sqrt{3}}{2} } \\ \displaystyle{y = 100 \times \dfrac{1}{2}}[/tex]

Therefore, the components are:

[tex] \displaystyle{x = 50 \sqrt{3} } \\ \displaystyle{y = 50}[/tex]

The required solutions of both part of the question are a)  t = 2.83 s, b) 27.7 m/s.

The fundamental equation of motion in classical mechanics is Newton's second law, which states that the force F acting on a body is equal to the mass m of the body multiplied by the acceleration an of its center of mass, or F = ma.

According to question:

a.) Before commencing the calculation, we need to specify the information.

Data:

acceleration dues to gravity, g = 9.81 m/s²

initial velocity u = 1.7 m/s

height, s = 45 m

t = ?

The formula for finding the distance is s = ut + 1/2at²

Therefore, 45 = 2t + 1/2×(9.81) ×t²

                 90 = 4t + 9.81 t²

Solving for t by the quadratic equation gives t = 2.83 s [Note the other negative value for t is rejected because there is no negative time]

b) The final velocity is given by the following equation:

v = u + at

where v = final velocity just before the camera lands on the ground

           u = initial velocity

           t = time taken

           a = g = acceleration dues to gravity = 9.81 m/s²

Calculating gives

v = 2 + 9.81×2.83

= 27.7 m/s Ans

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If a van traveled 225 miles in 5 hours, then the van could travel 315 miles in 7 hours.

A mile is a unit of length in the imperial and United States customary systems of measurement. One mile is equal to 5,280 feet, 1,760 yards, or 1.609 kilometers. The word mile is derived from the Latin mille passus, meaning "a thousand paces." The mile was historically used as a unit of measurement for roads, and was once considered a basic unit of measurement in many countries, although usage has changed over time.

To determine how far a van could travel in 7 hours, you would need to know its average speed. If the van traveled 225 miles in 5 hours, you can calculate its average speed by dividing the distance traveled by the time it took to travel that distance:

225 miles / 5 hours = 45 miles per hour

Once you know the average speed of the van, you can calculate how far it could travel in 7 hours by multiplying the speed by the time:

45 miles per hour x 7 hours = 315 miles

So the van could travel 315 miles in 7 hours.

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Answer:

Gamma rays cannot be seen or felt, but can cause ionization.

Explanation:

Gamma rays are a type of electromagnetic radiation, similar to X-rays, radio waves, and visible light. They have the highest energy and the shortest wavelength in the electromagnetic spectrum. Gamma rays are emitted by the nuclei of atoms during certain types of radioactive decay.

Gamma rays cannot be seen or felt because they are electromagnetic waves, and not particles like visible light or sound waves. Gamma rays do not have enough energy to excite the atoms in our eyes, so we cannot see them. They also do not have enough energy to cause vibrations in our ears, so we cannot hear them.

Gamma rays can cause ionization when they interact with matter, meaning that they can knock electrons off atoms and molecules, creating ions. When gamma rays pass through matter, they can disrupt the electrons in atoms and molecules, which can cause damage to living cells and genetic material. This is why gamma rays are considered to be dangerous and are used in very limited circumstances, such as in cancer treatment, where the goal is to destroy cancer cells.

In any region of space, the electric field is always zero.

This means that the electric field is unable to exert any force on an electric charge, making it impossible for the electric charge to accelerate or move in that region.

This phenomenon is known as electrostatic equilibrium and is an important principle in understanding the behavior of electric fields and charges.

When the electric field is zero at all points in any given region of space, this means that the electric field is not present and there is no movement of electric charge in that region.

This can be due to a lack of electric charge, or it can be due to the presence of an equal but opposite electric field that cancels out the electric field in that region.

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The mass of the girl must be 30 kg for the see-saw to be in equilibrium.

In order for the see-saw to be in equilibrium, the total moment on one side of the pivot must be equal to the total moment on the other side of the pivot. The moment of an object is equal to its weight multiplied by its distance from the pivot.

So, for the see-saw to be in equilibrium:

40 kg * 300 cm = ma * 400 cm

ma = (40 kg * 300 cm) / 400 cm

ma = 30 kg

The mass of the girl must be 30 kg for the see-saw to be in equilibrium.

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A set of physics exam scores are normally distributed with a mean of 80 points and a standard deviation of 6 points. Irina got a score of 95points on the exam. The proportion of exam scores are lower than irina's score is  0.9938

80 points on average

6 points is the standard deviation (sd).

95 points are needed to calculate the z-score for the value of interest (x):

Z = (X-Mean-SD)

z = (95 - 80)/6 = 2.5

We're looking for:

P(z < 2.5)

From the accompanying table:

P(z < 2.5) = 0.9938

As a result, a set of physics exam results have a mean of 80 points and a standard deviation of 6 points, which is considered to be regularly distributed. Irina passed the test with a score of 95. Exam percentage with lower scores than Irina's

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Explanation:

light takes 8 seconds to travel from the sun to earth this is because light travels at 671 million miles an hour

If a pulse covers a distance of 5 meters in 15 seconds,  the speed of the pulse is 0.33 meter/second.

Speed is characterized as the rate at which an object's position changes in any direction.

The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

Distance covered by pulse = 5 meters.

Time interval = 15 seconds.

So, the speed of the pulse is = Distance covered/ Time interval

= 5 meters / 15 seconds

= 1/3 meter/second

= 0.33 meter/second.

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The amount of energy required to accelerate the spaceship from a starting speed of 0 m/s is 3.1 Terajoules.

Generally, In the field of physics, the energy that an item holds as a result of the motion that it is engaging in is referred to as its kinetic energy. It is defined as the amount of effort required to get a body of a certain mass from a state of rest to the velocity that is specified.

After gaining this energy throughout its acceleration, the body will keep its kinetic energy unless there is a change in the rate at which it is moving.

The amount of energy required to accelerate a spaceship from a starting speed of 0 m/s to its current speed is equal to its kinetic energy.

In this case, the spaceship has a kinetic energy of 3.1 Terajoules.

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The magnitude of the force on the electron is Fel = KeQe²/r²

In a hydrogen atom, the electron and proton are separated by r = 0.53 × 10⁻¹⁰ m.

The electric force exerted on the electron has a magnitude equal to Fel = KeQe²/r².

When an electron's velocity v is perpendicular to B, the magnetic force acting on it has a maximum value of Fmag = QevB.

Calculation information:

KeQe²/r² = 9 × 10⁹ × (1.6 × 10⁻¹⁹) = Fel

2 ÷ (0.53 × 10⁻¹⁰)² N = 8.2 × 10⁻⁸ N.

Fmag equals qevB, which is 1.6 × 10⁻¹⁹ × 2.2 × 10⁶ × 10⁸ N or 3.5 × 10⁻⁵ N.

The maximal magnetic force acting on an electron is more than a million times stronger than its electric counterpart. On a neutron star's surface, hydrogen atoms are predicted to be severely distorted or destroyed.

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Located in Louisa County, Va, in the Mid-Atlantic region of the United States, the 1,075-acre North Ana Nuclear Power Plant is a nuclear power station. The Duke Virginia Power corporation and the Old Dominion Corporation jointly own the property, which is run by the Dominion Generation company.

What do you mean by nuclear?

The energy found in an atom's nucleus, or core, is referred to as nuclear energy. Electricity can be produced using nuclear energy, but it first needs to be freed from the atomic. 8 - 12+ Picture.

Which are the 3 different nuclear types?

Rocks, sunlight, and cosmic rays all emit tiny quantities of radiation that are constantly absorbed by all living organisms. Three kinds of radiation are taken into account in this background sheet: -particles, -particles, and -rays.

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Although having multiple states is conceivable, it's also feasible to have just one.

This discrepancy is expressed by the phrases attainable and feasible, which are used in certain definitions of these synonyms. As is frequently the case, the Latin-derived phrase is utilized when technical specificity, distance, and an element of abstraction are required.

Project feasibility refers to the examination of a project's numerous components to ascertain whether it has the potential to succeed. Before a project starts, a business might assess its viability to spot challenges, develop plans to address them, and eventually draw in investors.

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Answer:

3.7 m/s^2

Explanation:

Lets start by calculating the gain in potential energy when the Ingenuity rises to 75 meters from Mars' surface.  It has a mass of 1.8kg.  The potential energy is given by PE = mgh, where m is mass, g is the acceleration due to Mars' gravity, and h is height, in meters.

PE = (1.8kg)(75 meters)(g)

PE = (135 kg*m)*g

This required 500J of energy from the battery.  1 Joule = 1 kg*m^2/s^2

That means the PE gain is equal to 500 kg*m^2/s^2.

Set this equal to the PE we first calculated:

 500 kg*m^2/s^2 = (135 kg*m)*g

g = (500 kg*m^2/s^2)/(135 kg*m)

g = 3.7 m/s^2

The published value is 3.721 m/s^2

Answer:

Approximately [tex]3.7\; {\rm N\cdot kg^{-1}}[/tex] assuming that the energy from the battery was entirely converted into gravitational potential energy.

Explanation:

Near the surface of a planet, the gravitational field is approximately uniform. Let [tex]g[/tex] denote the gravitational field strength. When an object of mass [tex]m[/tex] is lifted up and its height increases by [tex]\Delta h[/tex], the gravitational potential energy (GPE) of this object would have increased by [tex]m\, g\, \Delta h[/tex].

Under the assumptions, the gravitational potential energy of this helicopter would have increased by [tex]500\; {\rm J}[/tex]. In other words:

[tex]\begin{aligned}& m\, g\, \Delta h = (\text{change in GPE}) = 500\; {\rm J}\end{aligned}[/tex].

It is given that [tex]m = 1.8\; {\rm kg}[/tex] and [tex]\Delta h = 75\; {\rm m}[/tex]. Rearrange the equation above to find gravitational field strength [tex]g[/tex]:

[tex]\begin{aligned}g &= \frac{(\text{change in GPE})}{m\, \Delta h} \\ &= \frac{(500\; {\rm J}))}{(1.8\; {\rm kg})\, (75\; {\rm m})} \approx 3.7\; {\rm N\cdot kg^{-1}}\end{aligned}[/tex].

With the use of Ohm's law formula and some assumption, the answers are

(a) V2 = 30v

(b) I2 = 5 A

(c) R1 = 1 Ω

(d) R2 = 6 Ω

(e) RT = 4 Ω

Current can simply be defined as the rate at which charges flow in a conducting material. It is measured in Ampere.

From the given circuit,

a) V2 and V3 are in parallel, so they will have the same voltage. The voltage dropped in V1 should be taken away from the total voltage. That is,

V2 = VT - V1

V2 = 40 - 10

V2 = 30v

b) The current produced from the battery is assumed to split equally on R2 and R3. Therefore, I2 = 5 A

c) The total current will flow through I1. That is,

I1 = 10 A

Using Ohm's law V1 = I1 × R1

10 = 10 × R1

R1 = 10/10

R1 = 1 Ω

d) From Ohm's law, V2 = I2 × R2

30 = 5R2

R2 = 30/5

R2 = 6 Ω

e) By using Ohm's law again

VT = IT × RT

40 = 10 × RT

RT = 40/10

RT = 4Ω

Therefore, The resistance in R1, R2 and R3 are 1Ω, 6Ω and 6Ω

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The increase in its potential energy is zero.

Potential energy is only transferred when matter is moved in the direction of a conserving force. These include the force of gravity, the force of an electric field, and the force exerted by a spring or other elastic material.

If an object's height does not change, then there will be no increase in potential energy. There is no conservatism in friction. That's why there wouldn't be any change in potential energy if the aforementioned motion took place against a frictional force. The only form of energy change that would occur is an increase in kinetic energy, as the motion indicated above would cause the object's speed to change.

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The Effect of Gamma Rays on Man-in-the-Moon Marigolds is Paul Zindel ’s best-known play.

The γ-rays mainly scatter off electrons within materials, and they randomly penetrate to some variable depth of material before their interaction. Scattering of γ-rays is itself a random process with a wide spectrum of possible results, averaging to the distributions presented above when many interactions are summed.

The individual fate of a γ-ray photon in a material is not predictable. Moreover, scattering of incident γ-ray photons will generally be incoherent, i.e. the scattered photons are unrelated, and do not form, e.g., patterns of diffraction.

The wave description of electromagnetic interactions with matter is inappropriate; we apply a particle interaction model instead.Photoelectric absorption: Atomic electrons are removed from their nuclei, thus reducing the energy of the γ-ray photon by the electron’s binding energy. This is the dominant process at energies below 100 keV.

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The correct claim that represents the mechanical energy of the system is that the system is open, because there is a net force exerted on the block.

Mechanical energy (kinetic energy or potential energy) is the energy of a moving object or the energy stored in objects due to their position. Mechanical energy is another source of renewable energy. In an open system, force is applied directly on an object.

Objects have mechanical energy if they are moving and/or are in a specific position relative to the surface. A box held vertically above the ground, for example, will have only potential energy. A moving vehicle has mechanical energy due to its motion, which is known as kinetic energy.

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Metals' complex structures account for their high melting and boiling temperatures as well as their conductivity. A metal's characteristics can be changed by adding another substance to it to create an alloy.

Of all the metals, silver has the highest electrical conductivity. In actuality, silver is the standard by which conductivity in all other metals is measured. Silver ranks 100 on a scale of 0 to 100, followed by copper at 97 and gold at 76.

Due to the fact that the atoms in metals form a matrix through which outside electrons can easily travel, metals are efficient conductors of both electricity and heat. They produce a sea of electrons surrounding the positive nuclei of the interacting metal ions rather than orbiting their individual atoms.

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mN/s is the correct SI form for kN/ms.

Hence, Option B is correct.

Système Internationale, or SI, is the abbreviation for our metric system of measurements. It is a system that has been universally standardized, providing a common language between countries and among the various branches of science and technology. The International System of Units (SI), also known as the French Système International d'Unités, is a weights-and-measures system used internationally that extends the metric system of units. The metric system, also known as the International System of Units (SI), is the accepted unit of measurement on a global scale. The International Treaty of the Meter was signed on May 20, 1875, in Paris by seventeen nations, including the United States, and is now recognized as World Metrology Day worldwide.

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The speed of the car after 4.55 s can be determined using the equation v = at, where v is the velocity of the car, a is the acceleration, and t is the time.

What is acceleration?

Acceleration is the rate of change of an object's velocity over time. It is the rate at which an object's speed or direction of motion changes. It is usually measured in meters per second squared (m/s2). Acceleration can be caused by a variety of forces, such as gravity, friction, or a push or pull.

Acceleration is the rate at which an object's speed or velocity changes over time. It is a vector quantity, meaning it has both a magnitude and a direction. Acceleration is typically measured in meters per second squared (m/s2).

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Both the darts hits the ground at the same time, because acceleration is the same.

Why is air resistance a force?

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The pressure at a point in a fluid depends on its weight.

Weight is the product of mass of the object and the acceleration due to gravity.

Fluid pressure is the pressure at a point inside a fluid due to the weight of the fluid.

The pressure in liquids can be calculated using the following relationship,

[tex]P_{fluid}[/tex] = P + ρgh

where,

[tex]P_{fluid}[/tex] = pressure at a point in the fluid

P = pressure at reference point

ρ = Density of liquid

g = gravitational acceleration (relative to the ground g = 9.8 m/s)

h = Height from reference point

Two factors affect fluid pressure.

These two elements are the depth and density of the fluid.

Therefore the fluid pressure depends on the weight at a point.

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The centripetal acceleration of the string is 18.1 m/s². The tension on the string is the sum of its weight and the force by the centripetal acceleration.

Centripetal acceleration is acceleration of a body moving through a circular path. It is related to the velocity and radius as written below;

a = V²/ R

Here v = 5/1.5 sec/60 = 3.3 m/s

R = 1.2/2 = 0.6 m

then a = 3.3 × 3.3 / 0.6 m = 18.1 m/s²

The tension on the string = ma + mg

T = 0.15 kg (18.1 + 9.8 m/s² ) = 13.97 N.

Therefore, the tension acting on the string is 13.97 N.

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In a plane mirror, the angle of equal to the angle in reflection both are identical. The law of reflection refers to this.

The law of reflection states that when a wave reflects off a surface, the angle of incidence is equal to the angle of reflection. This law applies to all types of waves, including light, sound and water. The incident wave and the reflected wave lie in the same plane, with the angle of incidence being measured between the incident wave and the normal vector (a line perpendicular to the surface of reflection). The normal vector and the reflected wave form the angle of reflection.

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The speed of the metal ball is 4.47 m/s.

The speed of the metal ball is calculated by applying the principle of conservation of energy as shown below.

stored elastic potential energy of the spring = kinetic energy of the metal ball

U = ¹/₂mv²

where;

v² = ( 2U ) / m

v = √ [  ( 2U ) / m ]

The speed of the metal ball is calculated as follows;

v = √ [  ( 2 x 0.2 ) / 0.02 ]

v = 4.47 m/s

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The complete question is below:

In a physics lab experiment, a compressed spring launches a 20 g metal ball, find the speed of the metal ball if the elastic energy of the spring is 200 J.

MLA citations typically include:

For example, the following is the correct MLA citation for a journal article:

Author Last Name, First Name. “Article Title.” Journal Title, vol. #, no. #, date, pp. #-#. Database Name, DOI or URL.

The correct use of citations in MLA format is an important part of any written research paper. It is designed to help readers find the original materials the author used for his or her research. Citations also give the reader an idea of what is found in the material. This helps readers determine if they want to read the material for themselves.

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The disadvantages of using solar and wind energy are:

Solar and wind energy are renewable energy sources that produce clean, renewable electricity by harvesting the naturally occurring power of the sun and wind.

Solar energy is harnessed with photovoltaic (PV) cells, transforming the sun’s energy into electricity. Wind energy is harvested with wind turbines, which convert the kinetic energy of the wind into electrical energy. Both solar and wind energy are cost-effective, clean, and renewable sources of electricity.

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Fixed automation, Programmable automation, Flexible automation are the types of automations in electromechanical device.

Fixed automation is typically employed for products with a very high production rate; the high initial cost of fixed-automation plant can therefore be spread over a very large number of units. Fixed-automation systems are used to manufacture products as diverse as cigarettes and steel nails.

The significant feature of fixed automation is that the sequence of the manufacturing operations is fixed by the design of the production machinery, and therefore the sequence cannot easily be modified at a later stage of a product’s life cycle.

Flexible automation can be considered to be an enhancement of programmable automation in which a computer-based manufacturing system as the capability to change the manufacturing program and the physical configuration of the machine tool or cell with a minimal loss in production time.

In many systems the machining programs are prepared at a location remote from the machine, and they are then transmitted as required over a computer-based local-area communication network.

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Answer:

The objective was to find a campground before dark, but Maria and I were too enchanted with the forest to retain any sense of urgency. We were surrounded by Douglas Firs, which we'd learned could survive for hundreds of years. They shot up into the sky, their foliage blotting out the sunlight. Their massive red-brown trunks were wider than Maria and I when we stood side-by-side. We'd actually found one especially large Fir that had blown down over the winter. The hole left by its roots was about the size of a one-car garage.

I was whistling a tune, my eyes on the trees, when Maria pointed out a scrap of white paper. She picked it up. It was a candy bar wrapper.

"Litter bugs," I said, shaking my head. I couldn't understand how a fellow camper could be so careless.

Further down the trail, Maria spotted another wrapper: This time it was a package of rice, torn-open. Beyond that was a half-empty package of trail mix, upturned in the dirt. A trail of rice and nuts led into the woods.

"Let's pick this stuff up," Maria said. "That'll be our good deed for the day."

Maria spent the remainder of the hike picking up various half-eaten foods and trash. Meanwhile, I took photos of the trees. Eventually we came to a treacherous bridge overlooking a waterfall. The campground, I knew, would be on the other side of the bridge. This was a good thing: It was already dusk, and setting up the tent in total dark would have been difficult.

We arrived at the campground, ready to lecture the litter bugs that we imagined would have arrived before us. We were surprised to find the whole place uninhabited. Near the river bank, we found a flat area sheltered by trees. I was unfurling the tent when I heard a noise. I turned to Maria to ask her if she'd heard the noise, but the look on her face told me she had. Her eyes were wide with fright. She pointed at a spot in the bushes, and it was then that I saw the bear. It was foraging in the trees, and it had something in its mouth.

To my relief, it scampered off and disappeared. But not before it dropped the thing that it'd had in its mouth. It was an empty package of peanuts.

8

What is the best summary of the passage?

A.

Out in a forest, Maria and the narrator admire the Douglas Firs that are supposed to survive for hundreds of years. They search for a place where they can camp, and on the way they find a lot of trash. Maria picks up the trash, while the narrator takes pictures of the trees, and soon, they arrive at an uninhabited campground. While fixing the tent, they spot a bear in the bushes.

B.

Maria and the narrator are hiking in the forest and looking for a place to camp. They spot some Douglas Firs and are so enchanted by their beauty that they forget about their campground. After picking up trash from the forest and taking pictures, they come to a treacherous-looking bridge, and on the other side, they find a campground which is uninhabited.

C.

While looking for a campground, Maria and the narrator admire the Douglas Firs in the forest. On their way, they find a trail of half-eaten food, and Maria picks up the trash while the narrator takes pictures of the trees. Finally, they arrive at an uninhabited campground, and when they spot a bear near the bushes, it drops an empty package of peanuts and scampers away.

D.

While looking for a campground in the forest, Maria and the narrator spot a lot of trash, including candy wrappers and rice packets. They begin to collect the trash, and later when they spot some Douglas Firs, they become so enchanted by their beauty that they forget about their campground. Finally, they reach a place where they spot a bear.