People living in the Amazon Rain Forest want to clear the forest of vegetation and create farmland so they can grow crops. How will clearing away vegetation affect soil erosion

Answers

Answer 1
When the vegetation is cleared, the loosened topsoil would be easily blown off and the soil would be eroded quicker. 

Related Questions

19. Water that flows downhill along Earth's surface is called A. beach hydraulics. B. cycles. C. runoff. D. rain.

Answers

the answer is most likely C
Water that flows downhill along Earth's surface is called "Runoff". When water is left to 'run' 'off' the side of roads and other surfaces. So the answer is C.

During an investigation a scientist heated 2.76 g of silver carbonate till it decomposed to leave a silver residue. The total mass of the silver residue formed was 2.16 g. Does the law of conservation of mass hold true in this case? Use complete sentences to justify your answer based on numerical calculations.

Answers

The equation that shows the decomposition of silver carbonate is as follows:
2Ag2CO3 > 4Ag + 2CO2 + O2--------------------------------------------------------------------------------------------------okay, now from the periodic table:mass of silver is 107.8682 gramsmass of carbon is 12 gramsmass of oxygen is 16 gramsmolar mass of Ag2CO3 is 2(107.8682) + 12 + 3(16) = 275.7364 grams------------------------------------------------------------------------------------------------From the balanced equation above:2(275.7362) = 551.4728 grams of Ag2CO3 produces 4(107.8682) = 431.4728 grams of Ag------------------------------------------------------------------------------------------------------Therefore, to know the mass of Ag produced from 2.76 grams of Ag2CO3, we will simply use cross multiplication as follows:mass of Ag produced = (2.76*431.4728) / (551.4728) = 2.16 grams==========================================================
Based on the above calculations, the law of conservation of mass is applied.
  hope this helped out ❤❤

No, the law of conservation of mass does not hold true in this case.

The law of conservation of mass states that mass cannot be created or destroyed in a chemical reaction. However, in this case, the mass of the silver residue (2.16 g) is less than the mass of the silver carbonate (2.76 g). This means that some mass was lost during the reaction.

The most likely explanation for the lost mass is that it was converted into carbon dioxide gas. When silver carbonate decomposes, it produces silver metal and carbon dioxide gas. The carbon dioxide gas is not visible, so it is easy to miss.

We can calculate the amount of mass that was lost by subtracting the mass of the silver residue from the mass of the silver carbonate.

Mass lost = 2.76 g - 2.16 g = 0.6 g

This calculation shows that 0.6 g of mass was lost during the reaction. This is a violation of the law of conservation of mass.

The law of conservation of mass does not hold true in this case because some mass was lost during the reaction. The most likely explanation for the lost mass is that it was converted into carbon dioxide gas.

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Which of the following is an accurate description of relationship demonstrated in ohms law

Answers

There is no accurate description in the list of choices that you provided.

Answer:

The electric potential (volts) divided by the current (amperes) equals the resistance (ohms).

Explanation: That is the formula to find the resistance based on the Ohm's laws.

A certain wave has a wavelength of 35 meters and a frequency of 4.0 Hz. What is the speed of the wave? 8.8 m/s 31 m/s 39 m/s 140 m/s

Answers

35
4.0 Hz
*______
   1.40 Hz
+ 8.8m/s
_______
=10.2 Hz m/s(31)m/s(39)m/s(140)m/s

Answer:

Speed, v = 140 m/s      

Explanation:

It is given that,

Wavelength, λ = 35 meters

Frequency of the wave, υ = 4 Hz

The speed of the wave is the product of the frequency and the wavelength of the wave.

Mathematically, it can be written as :

v = υ λ

v = 35 m × 4 Hz

v = 140 m/s

So, the speed of the wave is 140 m/s

Hence, this is the required solution.

An athlete prepares to throw a 2.0-kilogram discus. His arm is 0.75 meters long. He spins around several times with the discus at the end of his out-stretched arm so that the discus reaches a velocity of 5.0 m/s. What is the centripetal force acting on the discus?

A.9.4 N
B.14 N
C.27 N
D.66 N

Answers

the centripetal force would be mv^2/r
which is then equal to 2*5*5/0.75
that's 66 N

Answer:

I am pretty sure the answer is "66N"

Explanation:

I've seen a lot of results on the internet saying the same thing

If this is not the answer, I am truly sorry and you can message me so that I can delete the question.

Have a good day!

Compare a cup of hot coffee with the Pacific Ocean. Which statement about thermal energy and temperature is correct?
Water in the Pacific Ocean has more thermal energy and a higher temperature.
Water in the Pacific Ocean has less thermal energy and a lower temperature.
Water in the Pacific Ocean has less thermal energy and a higher temperature
Water in the Pacific Ocean has more thermal energy and a lower temperature.

Answers

The answer is D

The body of water contains more molecules; more molecules, more kinetic energy, which creates thermal energy. 

The molecules are moving faster is the coffee, so the temperature is higher.

Answer:

The Answer Is (D.)

Explanation:

The tangential speed at the outer rim of a Ferris wheel is 10 m/s. What is the tangential speed of a position halfway from the center to the outer rim?

Answers

Final answer:

In rotational motion, tangential speed is proportional to the radius. Thus, if you're halfway between the center and the rim of a Ferris wheel, your speed would be half that of the rim's speed. So, the tangential speed halfway to the center from the rim would be 5 m/s assuming the outer rim speed is 10 m/s.

Explanation:

The concept you're asking about is related to tangential speed and its relationship to the radius in rotational motion. In the case of a Ferris wheel, or any rotating body, the tangential speed is defined as the angular velocity times the radius. Therefore, if the radius is halved (a point halfway from the center to the outer rim), the tangential speed at the new point will also be halved assuming a constant angular velocity. Thus, in your example, if the tangential speed at the outer rim is 10 m/s, the speed halfway to the center will be 5 m/s.

This is because the properties of a rotating body dictate that the tangential speed increases linearly with the radius from the axis of rotation, in the case of a constant angular velocity. Hence, the farther away from the center of rotation, the faster the tangential speed, and vice versa.

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The tangential speed at a position halfway from the center to the outer rim of a Ferris wheel with an outer rim speed of 10 m/s would be 5 m/s.

The tangential speed at a position halfway from the center to the outer rim of a Ferris wheel is half of the tangential speed at the outer rim. In this case, the initial tangential speed at the outer rim is given as 10 m/s, so the tangential speed at halfway to the rim would be 5 m/s. This is because tangential speed is directly proportional to the radius in uniform circular motion, and if the radius is halved, so is the tangential speed.

The power used by an electric tool can be determined by multiplying the _____.

resistance times the current
current times the voltage
resistance times the voltage

Answers

Power can be expressed by the product of current and voltage.  To see this, consider the units of current and voltage:

[tex][I]= \frac{C}{s} \\ \\ {[V]=\frac{J}{C}} \\ \\ {[V*I]=\frac{C}{s}\frac{J}{C}=\frac{J}{s}=W}[/tex]

Where C is coulombs (charge), s is seconds, J is joules (energy), and W is Watts, or power.  See that watts are Joules per second, or the time rate of change of energy.

Answer:

current time the voltage. Hope this helps:-)

Explanation:

Read the scenario and solve these two problems. When traveling at top speed, a roller coaster train with a mass of 12,000 kg has a velocity of 30 m/s. The kinetic energy of the train at top speed isJ. Given this kinetic energy, what is the tallest hill this roller coaster train can reach the top of? The train can climb a hill that ism high.

Answers

first answer  5400000 
second answer 46

1. The kinetic energy of the train is 5400000 J

2. The tallest hill the train can climb is 45.92 m

1. Determination of kinetic energy of the train

Mass (m) = 12000 Kg

Velocity (v) = 30 m/s

Kinetic energy (KE) =?

The kinetic energy of the train can be obtained as follow:

KE = ½mv²

KE = ½ × 12000 × 30²

KE = 6000 × 900

KE = 5400000 J

2. Determination of the height of the hill the train can climb

Energy (E) = 5400000 J

Mass (m) = 12000 Kg

Acceleration due to gravity (g) = 9.8 m/s²

Height (h) =?

E = mgh

5400000 = 12000 × 9.8 × h

5400000 = 117600 × h

Divide both side by 117600

h = 5400000 / 117600

h = 45.92 m

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How much energy is need to raise 50 kg of water from 45 c to 80c?

Answers

Based on your problem, what you are looking for is the quantity of heat. To solve for it, you will need this formula:

Q = mc(T2-T1)

Where: Q = Quantity of heat
             m =  mass of the substance
             c  = Specific heat
             T2 = Final temperature
             T1 = Initial temperature

Now the specific heat of water is 4.184 J/(g°C), meaning that is how much energy is required to raise the temperature of 1g of liquid water by 1 degree Celsius. 

Since your mass is in kilograms, let us convert that into grams, which will be equal to 50,000 grams. Now we can put our given into the equation:

Q = mc(T2-T1)
   = 50,000g x  4.184 J/(g°C) x (80°C - 45°C)
   = 50,000 g x 4.184 J/(g°C) x 35°C   
   = 7,322,000 J or 7,322 kJ or 7.322 MJ

Energy = mass ×specific heat capacity×change in temperature'
In this case, the mass of water is 50 kg, the specific heat capacity of water is 4184J/kg
the change in temperature is 80-45= 35 degrees celcius
Therefore, heat energy
            = 50 ×35 ×4184=7322000 Joules
But 1kJ =1000 Joules
therefore, the energy needed will be 7322 kJ

Astronauts in orbit are not truly weightless. Please select the best answer from the choices provided T F

Answers

That's true. There's plenty of gravity in Earth orbit, and things have plenty of weight there.

Answer:

true

Explanation:

true

A small fish is dropped by a pelican that is rising steadily at 0.50 m/s. How far below the pelican is the fish after 2.5 s?
A) 61 m
B) 29.3 m
C) 30.6 m
D) 1.1 m
Can you tell me the formula in order to find this?

Answers

The pelican is rising at .5m/s. Therefore if the fish does not move at all, its distance below the pelican will increase at a rate of .50m/s. 
Let's now determine the distance from the starting point for the fish at time t.
 Downward acceleration due to gravity is 9.8m/(s^2).
 Initial downward velocity is -.50m/s because the pelican is initially holding the fish and rising.
 Velocity at time t is therefore = v0 + a * t = -.50m/s + (9.8m/(s^2)) * t
 Integrating velocity provides distance from initial position = v0 * t + (a / 2) * (t ^ 2)
 = -.50m/s * 2.5s + 4.9m/(s^2) * (2.5s)^2
 = 29.375m
 However, the pelican has moved .50m/s * 2.5s = 1.25m in the same time. Therefore the pelican is 1.25m above the initial position.
 Adding the fish's distance below the initial position and the pelican's distance above the initial position provides the fish's distance below the pelican:
 29.375m + 1.25m = 30.625m
 The answer is C.

How many days are between the first quarter and full moon phases

Answers

there are approximately 3.75 days between each lunar cycle so between the first quarter and full moon there are 2 cycles so 2 multiplied by 3.75 is 7.5

The more particles that are hitting each other in a fluid, the less pressure is created. true of false

Answers

This statement is false: More hitting among particles creates more energy which means a higher temperature, which in turn means higher pressure. Thus, this is a false statement.

Hope this helps!

two or more velocities add by

Answers

Two or more velocities add by vector sum.
In fact, velocity is a vector, with its own intensity, direction and verse. Therefore, we cannot simply add two velocities by algebraic sum, but we need to decompose them on two axes (if we are in a 2D-plane) and calculate the resultant on each axis, and then calculate the total resultant of the two vectors, which will have its intensity, direction and verse.

A car is moving with a speed of 22 m/s. The driver then brakes, and the car comes to a halt after 6.5 s. What is the distance covered by the car after the driver brakes, until it comes to a stop?

Answers

The distance covered by the car until it comes to a stop is 71.6 m.

What is speed?

Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

Given parameters:

Initial speed of the car; v = 22 m/s.

The car stops after time t = 6.5 s.

The distance covered by the car after the driver brakes, until it comes to a stop; s = ?  

So, deceleration of the car = ( initial speed - final speed)/time

= ( 22 m/s - 0 m/s )/6.5 s

= 3.38 m/s².

So, by using v² = u² - 2as in this decelerated motion; we get:

⇒ 0² = 22² - 2×3.38×s

⇒ s = 22²/(2×3.38) =  71.6 m.

Hence,  the distance covered by the car after the driver brakes, until it comes to a stop is 71.6 m.

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(Use the Pythagorean theorem to answer the question.) An airplane takes off going straight west at 340 km/h for 1 hour, then turns and heads south for another hour at 360 km/h before reaching its final destination. What is the airplane's displacement?

Answers

South is perpendicular to West, so the plane's route forms a right triangle, and you can use Good Old Pythagoras to calculate the length of the hypotenuse.

The length of the displacement is   √(the west piece² + the south piece²)   .

That's      √ [ (340km)² + (360km)² ]

           =  √ [ (115,600) km²  +  (129,600) km² ]

           =   √ 245,200 km²

           =     495 km 

To be technical, Displacement is a vector, so we would need to
calculate its direction too.

Naturally, the plane winds up roughly southwest of where it took off.

You'd want to find the angle whose tangent is  (360/340) = about 1.059 .
The direction of the Displacement is that angle south of west. (about 46.6 degrees)
        

Answer:

495km to the southeast is the correct answer.

Explanation:

Roman citizenship guaranteed Paul:
protection from injustices
speedy passport to any distant land under Grecian rule
freedom to preach the gospel
quick transport to lands under Roman rule

Answers

protection from injustices
protection from injustices AND speedy passport to any distant land under Grecian rule are the correct answers.

An electric generator moves a magnet near a coil of wire to produce an electric current. Describe the energy transformation in an electric generator. A) It transforms kinetic energy into electrical energy. B) It transforms electrical energy into kinetic energy. C) It transforms potential energy into electrical energy. D) It transforms electrical energy into potential energy.

Answers

I think is A; It transforms kinetic energy to electrical energy.

The answer is A) It transforms kinetic energy into electrical energy.

Periodic Motion Problem, how to tackle this beast?

Answers

You can see the periodic motion as the projection over the diameter of a point moving with a circular motion.

The Amplitude will be the radius of the circumference and ω is the angular frequency (or speed) for both motions.

In the periodic motion, you will have maximum velocity at the center and it will be zero at the extremities, where the projection changes direction, while the acceleration will be maximum at the extremities and zero at the center.

The displacement will then be:
x(t) = A · cos(ωt)
And from this (using a little bit of calculus):
v(t) = A · ω · sin(ωt)
a(t) = A · ω² · cos(ωt)

What is the electric force between a glass ball with 3.5 µc of charge and a rubber ball with -4.5 µc of charge when they are separated by 5 cm?

Answers

they attract each other with force 
F=q1*q2/(4πεr^2), where 
q1=2.4 µC, q2=4.2 µC, 
r=4.9·10-2 m, ε=8.854·10^(-12) SI units. 
♦ F=2.4·10-6 * 4.2·10-6 /(4*pi* 8.854·10^(-12) *0.049^2)= 
=37.73 N;

To find the electric force between the charged glass and rubber balls, we use Coulomb's Law with Coulomb's constant, the charges in Coulombs, and the distance in meters to calculate the force.

The student has asked to find the electric force between a glass ball with a charge of 3.5     µC and a rubber ball with a charge of -4.5 µC when they are 5 cm apart. To calculate this, we can use Coulomb's Law, which states that the electric force (F) between two point charges is directly proportional to the product of the magnitudes of the charges (q1 and q2), and inversely proportional to the square of the distance (r) between them. The formula is represented as:

F = k * |q1 * q2| / r₂

Here, k is Coulomb's constant (8.988 x 10^9 N·m^2/C²), q1 and q2 are the charges in Coulombs, and r is the distance in meters. For the glass and rubber ball, q1 is 3.5 µC (or 3.5 x 10^-6 C) and q2 is -4.5 µC (or -4.5 x 10⁻⁶ C), and the distance r is 5 cm (or 0.05 m). Plugging in these values, we get:    

F = (8.988 x 10⁹ N·m²/C₂) * |(3.5 x 10⁻⁶ C) * (-4.5 x 10⁻⁶ C)| / (0.05 m)²

After calculation, the result is the magnitude of the electric force exerted between the two charges.

What is the net force in the x-direction? 30 N 34 N 55 N 65 N

Answers

Answer


34 N


Explanation.

I think the question is not complete.. It should be "A box is pulled to the right with a force of 65 N at an angle of 58 degrees to the horizontal. The surface is frictionless. The free body diagram is shown. What is the net force in the x-direction? 30 N 34 N 55 N 65 N"


We should find the horizontal component of the force 65 N.

Since 65 N is at an angle of 58° to the horizontal, we are required to find the horizontal force.


cosФ = adjacent/hypotenuse


let x be the net required (the component of 65N)

cos 58 = x/65

x = 65 × cos 58

= 34.44 N

Answer:

The answer is 34 N

Explanation:

Hope this helped!!!

Challenge: a sound wave with a frequency of 100.0 Hz travels in water with a speed of 1,500 m/s and then travels in air with a speed of 340 m/s. Approximately how many times larger is the wavelength in water than in air?

Answers

Final answer:

The wavelength in water is approximately 4.41 times larger than the wavelength in air.

Explanation:

In order to calculate the ratio of the wavelengths in water and in air, we need to use the formula:

ratio = speed of sound in water / speed of sound in air

Given that the speed of sound in water is 1500 m/s and the speed of sound in air is 340 m/s, we can substitute these values into the formula: ratio = 1500 m/s / 340 m/s = 4.41

Therefore, the wavelength in water is approximately 4.41 times larger than the wavelength in air.

The wavelength in water is approximately 4.4 times larger than in air.

To find the wavelength of a sound wave in a given medium, one can use the formula:

[tex]\[ \lambda = \frac{v}{f} \][/tex]

where [tex]\( \lambda \)[/tex] is the wavelength, [tex]\( v \)[/tex] is the speed of sound in the medium, and [tex]\( f \)[/tex] is the frequency of the sound wave.

Given that the frequency [tex]\( f \)[/tex] of the sound wave is 100.0 Hz, we can calculate the wavelength in water and in air using their respective speeds.

First, calculate the wavelength in water:

[tex]\[ \lambda_{\text{water}} = \frac{v_{\text{water}}}{f} = \frac{1,500 \text{ m/s}}{100.0 \text{ Hz}} = 15 \text{ m} \][/tex]

Next, calculate the wavelength in air:

[tex]\[ \lambda_{\text{air}} = \frac{v_{\text{air}}}{f} = \frac{340 \text{ m/s}}{100.0 \text{ Hz}} = 3.4 \text{ m} \][/tex]

To find out how many times larger the wavelength in water is compared to the wavelength in air, we divide the wavelength in water by the wavelength in air:

[tex]\[ \text{Ratio} = \frac{\lambda_{\text{water}}}{\lambda_{\text{air}}} = \frac{15 \text{ m}}{3.4 \text{ m}} \approx 4.4 \][/tex]

An instrument that can detect the presence of an electric charge is a
a.
magnet.
b.
electroscope.
c.
generator.
d.
conductor.

Answers

The answer to this question is B

Answer:

b.  electroscope.

Explanation:

-A magnet is an object that creates a magnetic field around it and has two poles.

-An electroscope is an instrument that helps to find out if there is a charge in an object.

-A generator is an object that produces electrical energy.

-A conductor is an object that allows to transmit energy.

According to this, the answer is that an instrument that can detect the presence of an electric charge is an electroscope.

A shot hitting the birdie high and deep to the backcourt is called what

Answers

I think it would be "Clear"

Final answer:

In badminton, a shot that sends the birdie high and deep to the backcourt is called a clear. It's a defensive move to create more playing space and opportunities.

Explanation:

A shot in badminton that is hit high and deep into the opponent’s backcourt is known as a clear. This type of shot is a defensive move, intended to give the player hitting the clear more time to return to a ready position and to push the opponent to the rear of their court, potentially creating opportunities for future aggressive plays. The clear can be performed as either a forehand or backhand stroke depending on the player's position and the shuttlecock's trajectory.

Determine the Kinetic energy of a 1000 kg roller coaster car that is moving with speed of 20.0 m/s

Answers

Final answer:

The kinetic energy of a 1000 kg roller coaster car moving at a speed of 20.0 m/s is calculated using the formula KE = ½ mv², resulting in KE = 200,000 J or 2.00 × 10⁵ J.

Explanation:

The question requires us to calculate the kinetic energy of a 1000 kg roller coaster car that is moving with a speed of 20.0 m/s. The kinetic energy (KE) of an object can be found using the formula KE = ½ mv², where m is the mass of the object and v is its velocity. Inserting the given values into the formula, we get:

KE = ½ (1000 kg) (20.0 m/s)

KE = ½ (1000 kg) (400 m²/s²)

KE = (500 kg) (400 m²/s²)

KE = 200,000 J or 2.00 × 10⁵ J

The roller coaster car possesses 200,000 joules of kinetic energy at the given speed.

How long does it take a 1.51 × 104 W steam engine to do 8.72 × 106 J of work? Round your answer to three significant figures.

Answers


The steam engine does  1.51 x 10⁴ joules of work per second.

To do 8.72 x 10⁶ joules of work takes it

                8.72 x 10⁶ Joules / 1.51 x 10⁴ J/sec

          =        (8.72 / 1.51) x 10²  seconds

          =            5.77 x 10² seconds

          =            577 seconds  =  9 minutes  37 seconds    

It would take 9 minutes and 37 seconds for a 1.51 × 10⁴ Watts steam engine to do 8.72 × 10⁶ J of work.

What is the efficiency of an engine?

The efficiency of an Indian can be defined as the ratio of the total useful work done by the engine to the total heat absorbed by the engine.

It can be represented in the form of percentages or in terms of fractions as well.

As given in the problem we have to find out how long it takes a 1.51 × 10⁴ Watts  steam engine to do 8.72 × 10⁶ J of work,

Power of the steam engine = work done by the engine/time

                                              =8.72 × 10⁶ / 1.51 × 10⁴

Thus, It would take 9 minutes and 37 seconds for a 1.51 × 10⁴ W steam engine to do 8.72 × 10⁶ J of work.

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How can the creation of ice result in physical weathering? view available hint(s) how can the creation of ice result in physical weathering? ice dissolves the surrounding container. ice scrapes the sides of the container, making it bigger. ice contracts as it forms, allowing a container to collapse. water expands in volume when freezing, exerting pressure on a container. liquid water carries talus into a fracture, which wedges the container open?

Answers

Ice plays a very important role in mechanical weathering. The fourth option is the correct answer. WATER EXPANDS IN VOLUME WHEN FREEZING, EXERTING PRESSURE ON A CONTAINER. 

The appropriate name for this type of weathering is frost action/frost shattering/freeze and thaw weathering. This type of weathering occurs in the mountainous regions of the temperate climate were water freezes at night and thaws in the day or summertime. When water freezes it expands by 10% and exerts pressure within the cracks in rocks. Over time this continuous freezing and thawing will cause rocks to break off into angular fragments. 
Final answer:

The creation of ice can result in physical weathering by expanding and exerting pressure on its surroundings, causing rocks to break apart or structures to crack or collapse.

Explanation:

When water freezes, it expands in volume and exerts pressure on its surroundings. This expansion can cause physical weathering by breaking down rocks or damaging structures such as containers or pipes. For example, when water seeps into the cracks of a rock and freezes, the expanding ice can widen the cracks and eventually break apart the rock. Similarly, water that freezes in a container can exert enough pressure to cause it to crack or even collapse.

1. If the spring of a jack-in-the-box is compressed a distance of 8.00 cm from its relaxed length and then released, what is the speed of the toy head when the spring returns to its natural length? Assume the mass of the toy head is 50.0 g, the spring constant is 80.0 N/m and the toy head moves only in the vertical direction. Also disregard the mass of the spring. (Hint: Remember that there are two forms of potential energy in the problem.)

Answers

When the spring is compressed, the total energy of the jack-in-the-box system is elastic potential energy stored in the spring:
[tex]E_i= \frac{1}{2} kx^2 [/tex]
where [tex]k=80.0 N/m[/tex] is the spring's constant and [tex]x=-8 cm=-0.08 m[/tex] is the displacement of the spring with respect its rest position.

When the spring is released and it reaches its relaxed position, its elastic energy becomes zero (because x=0), and so the total energy of the system will be the kinetic energy of the toy's head:
[tex]E_f= \frac{1}{2} mv^2 [/tex]
where [tex]m=50 g=0.05 kg[/tex] is the mass of the head and v its velocity.

For the law of conservation of energy, [tex]E_i = E_f[/tex]. Rewriting both terms, we can find v:
[tex] \frac{1}{2}kx^2 = \frac{1}{2}mv^2 [/tex]
[tex]v= \sqrt{ \frac{kx^2}{m} }=3.2 m/s [/tex]
Final answer:

The speed of the toy head when the spring returns to its normal length is approximately 3.2 m/s. This is found by equating the potential energy stored in the spring to the kinetic energy of the toy head and solving for the speed.

Explanation:

The question is regarding the use of the principles of conservation of energy and Hooke's Law in the context of a jack-in-the-box toy. Consider that energy is conserved, we can set the potential energy equal to the kinetic energy. The potential energy stored in the spring while it is compressed is given by the formula PE = 0.5*k*x², where k is the spring constant and x is the distance the spring is compressed. In this case, PE = 0.5*80N/m*(0.08m)² = 0.256 J.

When the spring is released and returns to its natural length, this energy is converted into kinetic energy for the toy head. The kinetic energy is given by KE = 0.5*m*v² where m represents mass and v stands for speed. Setting this equal to the potential energy from above and solving for v, we get v = sqrt((2*0.256J)/(0.05kg)) = sqrt(10.24) m/s = approximately 3.2 m/s.

Therefore, the speed of the toy head when the spring returns to its normal length is approximately 3.2 m/s.

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What is a bright streak of light that results when a meteoroid burns up in earth's atmosphere?

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A meteor is the bright streak of light observed when a meteoroid enters and burns up in Earth's atmosphere, due to friction and heat, often colloquially referred to as a shooting star. Larger pieces that reach the ground are known as meteorites. These events are quite common as countless cosmic dust particles enter the atmosphere daily.

A bright streak of light that results when a meteoroid burns up in the Earth's atmosphere is known as a meteor. This phenomenon occurs because as a meteoroid enters the atmosphere at high speeds, often up to 30,000 meters per second, the air in front of it is compressed. The intense heat from this compression and the resulting friction causing the meteoroid to incandesce, creating the visible streak of light we see in the sky, often described as a shooting star.

Most meteoroids are small pieces of rocky or metallic debris from asteroids or comets that enter Earth's atmosphere and burn up completely before reaching the ground. On occasion, larger pieces survive their fiery journey through the atmosphere and land on Earth, which are then called meteorites. It's fascinating to note that meteor sightings are quite common, as millions of these tiny particles enter the Earth's atmosphere daily, producing the brief flashes of light known as meteors.

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