harvesting timber (wood) from a forest does not harm___________.

Answers

Answer 1
Your answer would be soil. When you harvest timber (wood), you affect the wildlife around it, not the soil. Cutting down a tree won't make much of a difference to the soil underneath or around it.
Answer 2
It does not harm the buildings or the cars in a nearby city. However, it does harm just about everything in the forest that's anywhere near the (former) tree.

Related Questions

how Long will it take a plane flying north from Miami to reach New York City 1800 km away if the average velocity of the plane is 940 km/h

Answers

Answer: 1.91 hours or 1 hour and 55 minutes

Procedure:

Average speed = distance / time

=> time = distance / average speed

=> distance = 1800 km / 940 km/h = 1.91 hours

0.91 hours * 60 min / hour = 54.9 min = 55 min

=> 1 hour and 55 min.

a projectile leaves the ground with a velocity of 35 meters per second at an angle 32° what is the maximum height

Answers

To determine the maximum height for the projectile, we can use the timeless kinematics equation [tex]V _{f} ^{2} -V_{i}^{2}=2a \Delta y[/tex] and plug in what we know. For [tex]V _{f} ^{2}[/tex], we know it is zero because at the highest location of flight, there is no vertical velocity. For [tex]V _{i} ^{2}[/tex], we know it is [tex](35sin(32))^{2}[/tex] since the vertical component is the sine of the velocity. We need to solve for [tex]y[/tex], so it is left as-is. Since the only acceleration is [tex]g[/tex], we can substitute -9.81 into it. Solving for the equation yields a solution of 17.55 m for [tex]\Delta y[/tex].

Final answer:

The maximum height reached by the projectile is approximately 35.77 meters.

Explanation:

To find the maximum height of a projectile, we can use the equation h = (v₂sin²Θ)/2g, where h is the maximum height, v is the initial velocity, Θ is the launch angle, and g is the acceleration due to gravity. In this case, v = 35 m/s and Θ = 32°. We need to convert the launch angle to radians, so Θ = 32° * (π/180°) = 0.558 radians.

Plugging the values into the formula, we get h = (35₂sin²(0.558))/(2*9.8) = 35.77 meters. Therefore, the maximum height reached by the projectile is approximately 35.77 meters.

Three light bulbs are connected to a battery in a series circuit. How will the bulbs behave if the circuit is closed?

Answers

A)

The correct answer is All three bulbs will glow. Closing the circuit allows energy to flow through all three bulbs.

which of the following is a characteristic of a mixture

Answers

I believe you forgot to add the choices. I will tell you some of the characteristics of mixtures and I hope you find one of them in the choices you have.

A mixture is a physical combination between two or more elements. No chemical reaction is involved in the formation of mixtures.
The components of the mixture can be separated using physical methods such as filtration, boiling and condensation.
Examples of mixtures include mixture of sugar and water or mixture of salt and sugar.

When released , what is the kinetic energy of the 1c charge of the preceding problem if it flies past its starting position?

Answers

a) When a charge is moved in an electric field the work done (W) is calculated as charge*(change in potential). We can write W = q*V or V = W/q = 10/1 = 10V . This voltage is a difference in electric potential between 2 points within the field. If the charge is positive, and positive work is done upon it, then the final position is more positive than the original one. 

b) If a charge (Q) is released from rest and falls through a potential difference V, then its gain in energy (KE if no other force acts on the charged body) is q*V = 10J. This is the same as the work done in moving the charge to its new position in part (a), and is an example of the conservation of energy.

The density of an object is how much matter it contains.

a. True

b. False

Answers

Answer:

False

Explanation:

The density is mass divided by volume

In which situations is nuclear power most beneficial? Check all that apply.
1.if there is a high concentration of people
2.if there is a nearby supplies of fossil fuels
3.if there is an isolated location
4.if there are few other energy resources
5.if there are few people in scattered towns

Answers

Final answer:

Nuclear power is particularly beneficial in areas with high population concentrations and where there are few other energy resources. Due to uranium's high energy efficiency, the environmental impact is minimized, and it's a carbon-free power source, helping combat global warming. However, its benefits need to be weighed against potential safety and sustainability risks.

Explanation:

In which situations is nuclear power most beneficial? Nuclear power is most advantageous in scenarios where there are few other energy resources and in high-concentration population centers. The benefits of nuclear energy over fossil fuels are numerous, particularly when it comes to the efficiency of uranium. This substance generates significantly more power per unit weight or volume than coal, meaning less material needs to be mined, thus reducing environmental impact. In addition, nuclear power does not emit carbon dioxide during operation, making it a strong contender for reducing global warming.

Contrary to the proximity of fossil fuel supplies, nuclear power does not rely on nearby sources of fossil fuels, making it beneficial for isolated locations where transportation of fossil fuels would be logistically challenging or expensive. Likewise, for areas with a high concentration of people, the scalability and high-energy yield of nuclear power can meet the substantial electricity demands more effectively. However, when it comes to regions with scattered populations such as few people in scattered towns, distributed generation technologies like solar and wind might be more suitable and cost-effective.

It is essential, however, to weigh these advantages against the sustainability and safety concerns associated with nuclear power. The production of dangerous waste that must be stored safely for thousands of years, the potential for nuclear proliferation, and the risk of accidental radiation leaks are crucial factors that need to be considered carefully by scientists, policy makers, and citizens alike.

Nuclear power is most beneficial in 1. if there is a high concentration of people, 3. if there is an isolated locations, and 4. if there are few other energy resources.

Nuclear power is beneficial in certain situations due to its capability to generate large amounts of energy without emitting air pollutants like fossil fuels. Here are the most suitable situations for nuclear power:

If there is a high concentration of people: In densely populated areas, the demand for reliable and substantial energy is much higher. Nuclear power plants can meet this demand efficiently.If there are few other energy resources: In locations with limited access to renewable energy resources (like solar or wind power), nuclear energy serves as a powerful alternative to meet energy needs.If there is an isolated location: Isolated areas might lack the infrastructure for other energy sources. Nuclear power can provide a consistent and powerful energy supply without requiring frequent fuel deliveries.

Other situations, such as having nearby supplies of fossil fuels or having few people in scattered towns, might not derive as much benefit from nuclear energy due to the cost and scale of nuclear power plants.

The first movement of a classical symphony is almost always fast, and in ___________ form. sonata rondo minuet theme and variations

Answers

Sonata form, consisting of three main sections (exposition, development, recapitulation), is sometimes revisited, and often quoted in the finale as well.
Final answer:

The first movement of a classical symphony is typically composed in sonata form and features a fast tempo. The sonata form includes three sections: exposition, development, and recapitulation.

Explanation:

The first movement of a classical symphony is usually fast-paced and composed in a sonata form. Sonata form, also known as first-movement form, consists of three main sections: the exposition, the development, and the recapitulation. The exposition introduces the main musical themes, the development elaborates and changes these themes, and the recapitulation reprises these themes. This structure is often found in the first movements of classical symphonies, although there are exceptions.

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What causes a disturbance that results in a wave?

Answers

The correct explanation is that a wave is caused by a disturbance that transfers energy from one place to another without the transfer of matter.

A wave is a disturbance that travels through a medium or space, transporting energy from one location to another. The disturbance can be initiated by various sources.

For example, when a stone is dropped into a pond, the impact causes a splash and a series of ripples to move outward across the water's surface. These ripples are waves. Similarly, sound waves are caused by vibrations of objects, which create disturbances in the air, and seismic waves are generated by the sudden movement of rock within the Earth's crust.

 In all cases, waves are characterized by their ability to transport energy without the physical transport of the medium's particles. The particles of the medium (such as water, air, or rock) oscillate about their equilibrium positions as the wave passes through, and this oscillation is what carries the wave's energy.

The energy of the wave can cause subsequent particles to oscillate, thus propagating the disturbance through the medium.

The nature of the wave (whether it is transverse, longitudinal, or a combination of both) depends on the direction of the particles' oscillations relative to the direction of energy transfer.

In summary, the cause of a wave is an initial disturbance that sets particles of a medium into motion, creating a pattern that moves through the medium, carrying energy with it.

This disturbance can be the result of various forces or events, such as mechanical vibrations, gravitational pulls, or nuclear reactions, and the specific characteristics of the wave will depend on the properties of the medium and the nature of the disturbance.

What does the law of conservation of energy state?

Answers

The total amount of energy remains constant in an isolated system. It implies that energy can neither be created nor destroyed, but can be change from one form to another.

We can determine the velocity of a wave when given the frequency and the (2 points) A amplitude. B equilibrium. C trough. D wavelength.

Answers

We can calculate the velocity (v) of a wave by multiplying frequency (f) by its wavelength (λ). This can be said quantitatively as:

v = f × λ

Hope this helps! 

We can determine the velocity of a wave when given the frequency and wavelength is given.

What is frequency and wavelength of wave?

A wave's frequency essentially indicates how frequently waves happen. In other words, frequency is the quantity of finished wave cycles in a given time interval or the quantity of waves passing a given place in a given time interval, such as per second.

High frequency waves are those that pass a certain place more frequently or that complete more cycles per second. Low-frequency waves travel farther and take longer to reach their destination.

Wavelength can be defined as the distance between two successive crests or troughs of a wave. It is measured in the direction of the wave.

We can determine the velocity of a wave when given the frequency and wavelength.

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A satellite of mass 6000 kg orbits the earth and has a period of 5700 s. determine the radius of its circular orbit.

Answers

1) The gravitational force F between the earth and the satellite is given by:

F = GMm / R²

where
G is the universal gravitational constant { = 6.67 x 10^-11 Nm²/kg² } ;
M is the mass of the Earth { = 5.97 x 10^24 kg } ;
m is the mass of the orbiting satellite ;
R is the distance between their centres of mass.

Force F provides the centripetal force needed to keep the satellite in a circular orbit.

Centripetal force = mω²R
where ω is the angular velocity. So we can write:

GMm / R² = mω²R

{m cancels out. Divide both sides by ω² and multiply by R² }

GM / ω² = R³

We are given that the satellite completes one orbit (= 2π radians) in 5700 seconds. So:

ω = (2π / 5700) = 1.10 x 10^-3 rad/s

R³ = (6.67 x 10^-11 * 5.97 x 10^24 / (1.10 x 10^-3 )² ) = 3.28 x 10^20

R = 6.89 x 10^6 m


2) Gravitational force = GMm / R²

= 6.67 x 10^-11 * 5.97 x 10^24 * 6000 / (6.89 x 10^6)²

= 5.03 x 10^4 newtons

3) Altitude = radius of orbit - radius of Earth
= 6.89 x 10^6 - 6.37 x 10^6

= 5.2 x 10^5 m

The radius of the satellite's circular orbit is approximately 11,350,000 meters or 11,350 kilometers.

Given,

Mass of satellite = 6000 kg

Revolution time = 5700s

To determine the radius of the circular orbit of a satellite orbiting the Earth, the following equation based on the laws of circular motion can be used:

[tex]r = (\frac{G \times M \times T^2}{4\pi^2})^{(1/3)}[/tex]

Where:

r is the radius of the orbit

G is the gravitational constant (approximately 6.67430 × 10⁻¹¹m³ kg⁻¹ s⁻²)

M is the mass of the Earth (approximately 5.972 × 10²⁴ kg)

T is the period of the orbit

Substituting these values into the equation:

[tex]r = (\frac{G \times M \times T^2}{4\pi^2})^{(1/3)}[/tex]

[tex]r = \frac{6.67430 \times 10^{-11} \times 5.972 \times 10^{24} \times (5700)^2}{(4\pi^2)^{(1/3)}}[/tex]

r = 1.135 × 10⁷ meters

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In what region of the electromagnetic spectrum is a photon found that possesses twice as much energy as one in the blue region (442 nm) of the visible spectrum?

Answers

The answer is: ultraviolet The energy (E) of a photon is directly proportional to its frequency f, by Planck's formula: E = hf, where h is Planck's constant (6.625 * 10**-34 joule-second). The frequency is inversely proportional to the wavelength w by: f = c/w, where c is the speed of light, 3.0 * 10**8 meters per second. Combine these formulas and we see that the energy is inversely proportional to the wavelength by: E = hc/w If the energy is inversely proportional to the wavelength, a photon with twice the energy has half the wavelength of our 442-nm. photon in this example. So its wavelength is 221 nm. which is in the ultraviolet range.

Whether or not incoming information is perceived as meaningful influences one's attention to it. T F

Answers

This would be True. Hope this helps!  :)

Answer:

True

Explanation:

Information is data being sent and received it generally carries meaning behind it. Attention is the process by which a person can selectively concentrate on a specific part of information

If a person is sending another person information that the receiver cannot understand it is meaningless to the receiver. However, if the receiver can understand the meaning of the information then the receiver pays attention the information.

What is the final speed of an object that starts from rest and accelerates uniformly at 4.0 meters per second2 over a distance of 8.0 meters? 1. 8.0 m/s 2. 16 m/s 3. 32 m/s 4. 64 m/s

Answers

Considering that the acceleration is uniform [tex]a=4 (m/s^2)[/tex] we apply the equation
[tex]v^2=v0^2+2as[/tex]
with zero initial speed 
[tex]v^2=2as[/tex]
and we obtain the speed
[tex]v^2 =2*8*4 =64 (m/s)^2[/tex]
Thus [tex]v=8 (m/s)[/tex]

Answer:

Explanation:8.0m/s

When a system of measurement is based on units of ten, it is called a ____system.

Answers

It is called a metric system!

Answer:

It is called a metric system!

Explanation:

It usually takes more force to start an object sliding than it does to keep an object sliding because static friction is usually _____greater _______________ than sliding friction.

Answers

the answer is already in the blank for, its was greater

Explain why nuclear fusion takes place only in the center of stars

Answers

 A star is born when atoms of light elements are squeezed under enough pressure for their nuclei to undergo fusion. All stars are the result of a balance of forces: the force of gravity compresses atoms in interstellar gas until the fusion reactions begin. And once the fusion reactions begin, they exert an outward pressure. As long as the inward force of gravity and the outward force generated by the fusion reactions are equal, the star remains stable. Clouds of gas are common in our galaxy and in other galaxies like ours. These clouds are called nebulae. A typical nebula is many light-years across and contains enough mass to make several thousand stars the size of our sun. The majority of the gas in nebulae consists of molecules of hydrogen and helium--but most nebulae also contain atoms of other elements, as well as some surprisingly complex organic molecules. These heavier atoms are remnants of older stars, which have exploded in an event we call a supernova. The source of the organic molecules is still a mystery. 

STAR BIRTHS are started when the interstellar matter in gas clouds, such as the Eagle Nebula shown here, compresses and fuses. Irregularities in the density of the gas causes a net gravitational force that pulls the gas molecules closer together. Some astronomers think that a gravitational or magnetic disturbance causes the nebula to collapse. As the gases collect, they lose potential energy, which results in an increase in temperature. As the collapse continues, the temperature increases. The collapsing cloud separates into many smaller clouds, each of which may eventually become a star. The core of the cloud collapses faster than the outer parts, and the cloud begins to rotate faster and faster to conserve angular momentum. When the core reaches a temperature of about 2,000 degrees Kelvin, the molecules of hydrogen gas break apart into hydrogen atoms. Eventually the core reaches a temperature of 10,000 degrees Kelvin, and it begins to look like a star when fusion reactions begin. When it has collapsed to about 30 times the size of our sun, it becomes a protostar. When the pressure and temperature in the core become great enough to sustain nuclear fusion, the outward pressure acts against the gravitational force. At this stage the core is about the size of our sun. The remaining dust envelope surrounding the star heats up and glows brightly in the infrared part of the spectrum. At this point the visible light from the new star cannot penetrate the envelope. Eventually, radiation pressure from the star blows away the envelope and the new star begins its evolution. The properties and lifetime of the new star depend on the amount of gas that remains trapped. A star like our sun has a lifetime of about 10 billion years and is just middle-aged, with another five billion years or so left.

Collaboration and communication are important in science because?

Answers

They increase the likelihood of a positive outcome

Final answer:

Collaboration and communication in science are key to disseminating research findings and advancing scientific knowledge. Through collaboration and peer review, scientific work is validated and can be further built upon. Effective communication also helps in securing funding and informing the public.

Explanation:

Collaboration and communication are crucial in science because they enable the dissemination of research findings and the advancement of scientific knowledge. Through collaboration, scientists can plan, conduct, and analyze research collectively, which enhances the quality and impact of their work. Effective communication is necessary for sharing results beyond the confines of conferences and meetings, achieving this through peer-reviewed publications. These publications undergo a process of peer review to ensure that the research is original, significant, logical, and thorough. This process also allows other scientists to reproduce the experiments and expand upon the findings, creating a foundation for further discovery and innovation.

Furthermore, effective communication skills are critical when interacting with funding agencies or the general public to convey the importance and relevance of scientific work. Without transparent communication and open collaboration, scientific progress would be stymied, and opportunities for new discoveries may be lost. Additionally, successful collaboration often relies on technology to bridge geographical distances, allowing for ongoing dialogue and exchange of ideas without the necessity of being in the same physical location.

A plane flies along a straight line path after taking off, and it ends up 190 km farther east and 80.0 km farther north, relative to where it started. What is the plane's displacement?

Answers

You can use the Pythagorean theorem to solve this problem.
Along the x-axis, displacement is 190km 
Along the y-axis, displacement is 80km

x² + y² = r²
[solve for r]
r = √((190)² + (80)²)
r = 206.16km 

tanθ = (y/x)
[solve for θ]
θ = tan⁻¹(80/190)
θ = 22.83°

Therefore, displacement of plane is 206.16 km 22.83° north of east
or 
206.16 km 67.17° east of north

The plane's displacement value is 212.13  km.

What is the plane's displacement?

After taking off, a plane travels in a straight line and ends up 190  km further east and 800.0 km farther north than it began. 

For this, we ought to apply Pythagoras's theorem. 

Distance 2 = 190^2 + 80^2 =212.13   km,

which, rounded out, equals about 212.13  km.

190^2 + 80.0^2 = 45000

[tex]\sqrt{45000}[/tex]

212.13

The plane's displacement value is 212.13  km.

The term "displacement" refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place. For instance, if an object shifts from location A to position B, its position changes.

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If two objects have the same volume but one has a greater mass, the one with greater mass ___

A. Has lower density
B. Has higher density
C. Will float
D. Will sink

Answers

the answer is B) Has a higher density
the answer is b

hope it helped!

A truck moves 60 kilometers east from point A to point
b. At point B, it turns back west and stops 15 kilometers away from point
a. What are the total distance and total displacement of the truck? The total distance is 105 kilometers, and the total displacement is 15 kilometers east. The total distance is 105 kilometers, and the total displacement is 45 kilometers east. The total distance is 60 kilometers, and the total displacement is 60 kilometers east. The total distance is 60 kilometers, and the total displacement is 45 kilometers east. The total distance is 105 kilometers, and the total displacement is 75 kilometers east.

Answers

The total distance is 60*2-15=105 kilometers, and the total displacement is 15 kilometers east.

Answer:

Option A is the correct answer

Explanation:

Let i represent positive X axis ( east).

A truck moves 60 kilometers east from point A to point  B

       Displacement = 60 i km

       Distance = 60 km

At point B, it turns back west and stops 15 kilometers away from point  A

       Displacement = -45 i km

       Distance = 45 km    

Total

       Displacement =60 i - 45 i = 15 i km Towards east

       Distance = 60+ 45 = 105 km    

Option A is the correct answer

Star a is green, star b is yellow, and star c is red. which one of these is the hottest star?

Answers

i believe its  A . green 
yes green even though blue stars are the hottest

The wavelength of a wave is the distance between

Answers

Two consecutive crests

According to the work-energy theorem, the amount of work done can be determined using which formula?

Answers

Answer:

[tex]W=K_f -K_i = \frac{1}{2}mv_f^2 -\frac{1}{2}mv_i^2[/tex]

Explanation:

The work-energy theorem states that the amount of work done is equal to the variation of kinetic energy of the object, therefore:

[tex]W=K_f -K_i = \frac{1}{2}mv_f^2 -\frac{1}{2}mv_i^2[/tex]

Where:

m is the mass of the object

[tex]v_i[/tex] is the initial velocity of the object

[tex]v_f[/tex] is the final velocity of the object

How to find acceleration using time and distance?

Answers

 as long as the object is accelerating, all you have to do is to multiply the average velocity by 2 to get the velocity.

To find the acceleration, you take velocity and divide it by the time. if it is traveling uniformly
Final answer:

To find acceleration using time and distance, you determine the change in velocity and divide it by the time elapsed. You can also use the relationship distance = velocity x time, derived from speed = distance/time. The SI units for acceleration are m/s².

Explanation:

To find acceleration given time and distance, you need to understand the underlying physics principle - Newton's second law of motion. Here's a step-by-step process:

You need to determine the initial and final velocities to find the change in velocity.After identifying the elapsed time, these values will allow you to calculate acceleration, as defined by Δv/Δt (Change in velocity divided by the time taken)Acceleration can also be derived from the speed-distance-time relationship, which states speed = distance/time.An equation can be rearranged from this relationship such that distance = velocity x time.

Therefore, with known values of time and distance, you can find the acceleration. Remember, the SI units for acceleration are m/s² (metres per second squared).

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A tennis ball bounces on the floor three times, and each time it loses 23.0% of its energy due to heating. how high does it bounce after the third time, if we released it 4.0 m from the floor?

Answers

1.8 meters Since the ball loses 23.0% of it's energy with each bounce, that means that it retains 100% - 23.0% = 77.0% of it's energy per bounce. And since it bounces 3 times, that means that it will have 0.77^3 = 0.456533 = 45.6533% of it's original energy after the third bounce. So it will reach 45.6533% of it's original height after the third bounce. So 45.6533% * 4.0 = 0.456533 * 4.0 m = 1.8 m

The tennis ball will bounce to a height of approximately 1.828 meters after the third bounce when it loses 23.0% of its energy with each bounce starting from a height of 4 meters.

If a tennis ball is released from a height of 4 meters and bounces on the floor three times, each time losing 23.0% of its energy due to heating, we can calculate its height after the third bounce. The initial potential energy (PE) of the ball when released is converted into kinetic energy as it falls and then back into potential energy as it bounces upward. After each bounce, the ball retains only 77% (100% - 23%) of its energy because of the energy lost to heat. Therefore, after the third bounce, the ball has
(0.77)³ or about 45.7% of its original energy.

Here is the calculation to find the height (h) after the third bounce:

[tex]PE{initial }[/tex]= mg[tex]h_{initial}[/tex] = mg[tex]h_{final}[/tex]

[tex]h_{final}[/tex] = (0.77)³  h_initial

[tex]h_{final}[/tex] = (0.77)³
(4.0 m) = 0.457
(4.0 m) = 1.828 m.

The tennis ball will bounce to a height of approximately 1.828 meters after the third bounce.

Given an element’s atomic number and mass number, how can you tell the number of protons and neutrons in its nucleus?
A. Number of protons = mass number; number of neutrons = atomic number – mass number
B. Number of protons = atomic number; number of neutrons = mass number + atomic number
C. Number of protons = atomic number; number of neutrons = mass number – atomic number

Answers

the answer more than likely based on research would be (B.)

The number of protons and neutrons in its nucleus can be determined with the help of the following process:

The number of protons = atomic number; the number of neutrons = mass number – the atomic number.

Thus, the correct option for this question is C.

What do you mean by Protons?

Protons may be defined as the type of subatomic particles that are significantly present in the nucleus of an atom along with neutrons. These subatomic particles are positively charged in nature. Protons were discovered by Ernest Rutherford.

An atomic number of an element may be characterized as the number of a chemical element in the periodic system, whereby the elements are arranged in order of increasing the number of protons in the nucleus.

The number of neutrons may be calculated with the difference between the mass number of the atom and the atomic number.

Therefore, the correct option for this question is C.

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In a bumper car arena, two cars of equal mass are heading straight toward each other. The orange one is traveling at a speed of 5 meters per second. The green one is traveling at a speed of 2 meters per second. Which of the forces most affects the motion of the bumper cars after they collide?

Answers

Answer: D.

Explanation:   Orange, at 3 meters per second if you calculate the net force being applied to the system.

hope this helps! ✌

A slide inclined at 35 takes bathers into a swimming pool. with water sprayed on the slide the bathers spends only one third as much timeo n the slide as whne its dry. find the coefficient of friction on the dry slide

Answers

Refer to the figure shown below.

mg =  the weight of the person on the slide.
N = mg cos(35°) = 0.8192 mg, the normal reaction
F = mg sin(35°) = 0.5736 mg, the force acting down the slide.
R = μN = 0.8192 μmg, the resisting force due to friction
μ = the coefficient of dynamic friction on the dry slide.
d =  the length of the slide.
g = 9.8 m/s²
All measurements are in SI units.

We shall consider two cases.

Case 1 (The slide is lubricated by water spray).
Assume that the coefficient of friction is approximately zero.
Let a = the acceleration down the slide. Then
0.5736 mg = ma
a = 0.5736g = 5.6213 m/s²

Let t = the time to travel the length of the slide from rest.
d = (1/2)*(5.6213 m/s²)(t s)² = 2.8106t² m     (1)
t² = 0.3558d
t = 0.5965√d s                                             (2)

Case 2 (The slide is dry)
The time to travel down the slide is 3*(0.5965√t) = 1.7895√t s.
Let a = the acceleration. Then
0.5796mg - 0.8192μmg = ma
a = 0.5796g - 0.8192μg = 5.6801 - 8.0282μ  m/s²

The travel doen the slide from rest is given by
d = (1/2)*(5.6801 - 8.0282μ)*(1.7895√t)²
d = (9.0947 - 12.8544μ)t²                           (3)

Equate (1) and (3).
9.0947 - 12.8544μ = 2.8106
12.8544μ = 6.2841
μ = 0.489

Answer:  μ = 0.49  (nearest hundredth)
Final answer:

To find the coefficient of friction on a dry water slide, we use the fact that the bather takes one third the time to slide down when it's wet. This implies an acceleration due to friction, which we can relate back to the coefficient of friction using the right equations.

Explanation:

The student is trying to find the coefficient of friction on a dry slide. To do this, we need to use the equations for motion on an inclined plane. The two primary forces here are the gravitational force pulling the bather down the slide and the frictional force opposing this movement. The gravitational force, parallel component, is mg sinθ, while the frictional force is μmg cosθ. On a smooth slide, acceleration of a sliding body is given by g sinθ. When friction comes into play, the acceleration becomes g (sinθ - μ cosθ). Given that the bather's time on the slide is one third when it's wet (indicating friction is negligible), the frictional force on the dry slide was causing the bather to take three times longer due to hindrance.

To find the coefficient of friction μ, we can use these formulas. Since speed = distance/time and distance, on both wet and dry slide, stays the same, the time ratio should equate to the square root of the acceleration ratio. We can set up the equation as: √(1/3) = (sinθ - μ cosθ) / sinθ, and solve for μ.

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