a 20.0 kg box slides down a 12.0 m long incline at an angle of 30.0 degrees with the horizontal. a force of 50.0 n is applied to the box in the upward direction. the applied force f makes an angle of 0.00 to the incline. if the incline is frictionless, then the increase in the kinetic energy of the box is

Answers

Answer 1

The increase in the kinetic energy of the box is 900.0 Joules.

The increase in the kinetic energy of the box can be calculated using the work-energy principle. The work done on an object is equal to the change in its kinetic energy.

To find the increase in kinetic energy, we need to calculate the work done on the box. The work done is given by the formula:

Work = Force * Distance * Cos(angle)

First, we need to calculate the vertical component of the applied force:

Vertical component of the applied force = Force * Sin(angle)

= 50.0 N * Sin(0 degrees)

= 0 N

Since the vertical component of the applied force is 0 N, there is no work done in the vertical direction. The work done will only be in the horizontal direction.

Now, we can calculate the work done:

Work = Force * Distance * Cos(angle)

= 50.0 N * 12.0 m * Cos(30.0 degrees)

= 50.0 N * 12.0 m * (√3/2)

= 900.0 J

The increase in kinetic energy of the box is equal to the work done:

Increase in kinetic energy = Work

= 900.0 J

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Related Questions

Fossils are rare because certain conditions are needed to preserve an organism in order for it to fossilize, and those conditions themselves are rare. Which of these conditions is LEAST likely to result in fossilization? A) Organism has an exoskeleton. B) Organism lives in or near water. C) Organism lives in a colder climate. D) Organism is prey to several species.

Answers

Answer:

D

Explanation:

The least of the conditions that can result in fossilization would be when an organism is a prey to several species.

Fossils are remains or traces of organisms that have been geological preserved and a prey is an organism that is often hunted and serves as food to bigger organisms. When an organism is eaten, the probability of it becoming a fossil becomes low. Unless such an organism is usually partially eaten by predators, there would not be any remains, let alone being fossilized.

The correct option is D.

what was the rule of the sticks on each atom model​

Answers

Answer:

That they must die

Explanation:

Stick = Die

Answer: That they must die


Excellent

If a 50 N block experiences a force of kinetic friction of 11 N from the surface of a table, then what is the coefficient of kinetic friction (wx) between the block and the table?

Answers

The coefficient of kinetic friction μ = 0.22.

The frictional force on the crate is given by F = μN where

μ = the coefficient of kinetic friction and

N = normal force.

The normal force equals the weight of Block W = 50 N.

Since the kinetic friction F = 11 N,

and the normal force which is the weight of the Block equals

N = W = 50 N,

the coefficient of kinetic friction μ is given by μ = F/N

= 11 N/50 N

= 0.22

So, the coefficient of kinetic friction μ = 0.22

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A 3.00 m long rod (I=1/3ML2) with a mass of 10.0 kg is set so that it pivots around its end. The rod is pulled back until it is horizontal and released. A small spherical ball with a mass of 4.00 kg is placed directly under the pivot point of the rod so that the end of the rod strikes the ball when it is vertical.

What is the angular velocity at the bottom before it hits the ball?

Answers

Hi there!

Assuming the rod is pulled back 90° (π/2 radians), we can use angular kinematics to solve.

Using the equation:


\(\omega_f^2= \omega_i^2 + 2\alpha \theta\)

\(\omega_f\) = final angular velocity (? rad/sec)

\(\omega_i\) = initial angular velocity (0 rad/sec)

\(\alpha\) = angular acceleration (rad/sec², must solve for)

\(\theta\) = angular displacement (π/2 rad)

Recall Newton Second Law's rotational equivalent:
\(\Sigma \tau = I\alpha\)

τ = Torque (Nm)

I = Moment of inertia (kgm²)
α = angular acceleration (rad/sec²)

Setting the pivot point at the end, and knowing that the force of gravity works at an object's center of mass (1.5m from the rod's end), we can solve for the angular acceleration.

\(\tau= F \times r\\\\\tau = W \times r = 10(9.8) * 1.5 = 147 Nm\)

Now, solve for the moment of inertia given I = 1/3ML² at one of its ends:
\(I = \frac{1}{3}(10)(3^2) = 30 kgm^2\)

Solve for the angular acceleration:
\(147 = 30\alpha\\\\\alpha = 4.9 \frac{rad}{sec^2}\)

Now, we can use the kinematic equation to solve.

\(\omega_f^2 = 0 + 2(4.9)(\frac{\pi}{2}})\\\\\omega_f = \sqrt{2(4.9)(\frac{\pi}{2})} = \boxed{3.923 \frac{rad}{sec}}\)

a ? is a two-terminal device that passes current of one polarity and blocks current of the opposite polarity.

Answers

A diode is a two terminal device that passes and blocks the current.

What is a diode?

A diode is a semiconductor gadget that essentially switches current in a single direction.

However, it substantially inhibits current flow in the opposite direction. It permits an easy flow of current in one direction.

Due to the fact that they convert alternating electricity into pulsing direct current, diodes are sometimes referred to as rectifiers. Type, voltage, and current capability are used to rate diodes.

The anode and cathode determine the polarity of diodes. The majority of diodes only permit current to flow when the anode is subjected to positive voltage.

A diode is forward-biased when it permits current flow. Reverse-biased diodes function as insulators.

The arrow of the diode symbol points away from the direction of electron flow. The symbol was created by engineers, whose current flowed in a positive direction.

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What are three biotic factors that can affect an organism after death?

Answers

Brain , blood , Nutrisystem !!!!!!’

Answer:

the three are scavengers predators and decomposers

Explanation:

The three biotic factors that can affect an organism after death are scavengers, predators, and decomposers that can breakdown and destroy the organism. an abiotic factor that can prevent the organism from becoming preserved after it has been buried would be groundwater.

a uniform meter stick is in static rotational equilibrium when a mass of 220 g is suspended from the 5 cm mark, a mass of 120 g is suspended from the 90 cm mark, and the support stand is placed at the 40 cm mark. what is the mass of the meter stick?

Answers

The meter stick is in static rotational equilibrium, which means that the sum of the clockwise torques must equal the sum of the counterclockwise torques. The torque is equal to the force multiplied by the distance from the support point, so we can set up the equation:  
CW Torque (5 cm mark): 220 g x 5 cm = 1100 g-cm
CW Torque (90 cm mark): 120 g x 90 cm = 10,800 g-cm
CCW Torque (40 cm mark): M x 40 cm = M x 40 cm
1100 g-cm + 10,800 g-cm = M x 40 cm
M = (1100 + 10,800) / 40 = 250 g
Therefore, the mass of the meter stick is 250 g.

Rotational equilibrium refers to the condition in which an object is motionless and still rotating. The condition occurs when the net torque on an object is equal to zero.

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Start a ball rolling down a bowling alley and you'll find that it moves slightly slower with time. Does this violate Newton's first law? Defend your answer.

Answers

As it is a result of external forces acting upon it rather than a failure to maintain its state of motion.

The observation that a ball rolling down a bowling alley moves slightly slower with time does not violate Newton's first law of motion, also known as the law of inertia.

Newton's first law states that an object at rest will remain at rest, and an object in motion will remain in motion with a constant velocity (which includes moving at a constant speed in a straight line or moving with a constant speed in a curved path) unless acted upon by an external force. In other words, an object will maintain its state of motion (or lack thereof) unless an external force is applied to it.

In the case of a ball rolling down a bowling alley, the ball is subject to various external forces that act upon it and cause it to slow down. These forces include friction between the ball and the lane, air resistance, and deformation of the ball itself. These forces act in the opposite direction of the ball's motion and cause it to lose speed over time, as the ball's kinetic energy is dissipated into other forms of energy.

Therefore, the ball's decrease in speed over time is not a violation of Newton's first law, as it is a result of external forces acting upon it rather than a failure to maintain its state of motion.

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the absolute temperature of a sample of monatomic ideal gas is doubled at constant volume. what effect, if any, does this have on the pressure and density of the sample of gas?
a. Remains the same Remains the same
b. Remains the same Doubles
c. Doubles Remains the same
d. Doubles Is multiplied by a factor of 4
e. Is multiplied by a factor of 4 Doubles

Answers

Mostly on density and pressure of the gas sample, doubles remain the same.

What is temperature called?

Both freezing and boiling temperatures of water serve as the foundation for the two most popular test temperatures, Celsius (C) or Fahrenheit (F). There are 100 steps between the two locations on the Celsius scale and 180 on the Fahrenheit scale. Additionally, scientists employ the Kelvin units of the International System (K).

What is temperature and heat?

Definition. The entire energy of all internal molecular motion makes up an object's heat. The heat conduction or average temperature of a molecules within a substance is measured by temperature. S.I. Unit.

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What is the wave speed of a wave traveling with a frequency of 37 Hz and 2 points
a wavelength of 6 m? (Remember your units!)

What is the wave speed of a wave traveling with a frequency of 37 Hz and 2 pointsa wavelength of 6 m?

Answers

Answer:

222m/s

Explanation:

The speed of a wave is calculated using the forumula:

v = fλ

Lets substitute in our values:

v = 37 × 6

Which is equal to

v = 222m/s

Helpppppppppppppppppppp

Helpppppppppppppppppppp

Answers

Answer:

I think d or b maybe it's d

Refer to Figure 116. 411. Use Table 8 in Chapter 9 of the NEC® to find the resistance of the #14 solid coated copper wire that is used for the circuit conductors. Using the total resistance of the circuit (wire + load + wire), the current that will flow through the circuit conductors and the load is _ amps

Answers

solid coated copper wire has a resistance of\(3.07 ohms/1000\)feet. The total resistance of the circuit, which cannot be determined from the information provided in the question, determines the current that will flow between the circuit conductors and the load.

The resistance of solid coated copper wire is \(3.07 ohms/1000 ft.\) However, we must know the overall resistance of the circuit, which includes the wire resistance, the load resistance, and any additional resistance in the circuit, in order to calculate the current that will flow between the circuit conductors and the load. We are unable to determine the current because this information is not provided in the inquiry. \(3.07 ohms/1000\)  feet is the resistance of  solid coated copper wire. The total resistance of the circuit determines the current that will flow between the circuit wires and the load; this resistance cannot be calculated from the information provided in the question.

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Refer to Figure 116. 411. Use Table 8 in Chapter 9 of the NEC to find the resistance of the #14 solid


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What charges must the particles have to create the electric field shown?

A. X and Y are both positive
B. X is negative and Y is positive.
C. X and Y are both negative.
D. X is positive and Y is negative.

Will mark as brainliest! What charges must the particles have to create the electric field shown?A. X

Answers

Answer: Choice A, that X and Y are both positive

Explanation: positive charges are attracted to negative charges, so for their electric fields, positive charges point outward while negative charges point inward. In this model, it shows that both X and Y are pointing outward, hence they both have to have positive charges

Cooper communicates with brand using radio waves of wavelength 300 m. what is the frequency of this wave?

Answers

The frequency of electromagnetic waves is 10⁶ Hz or 1 MHz.

We need to know about electromagnetic waves to solve this problem. Electromagnetic waves can propagate without media. The speed of electromagnetic in vacuum media is equal to the speed of light. Hence, the wavelength and frequency can be determined as

c = λ . f

where c is the speed of light (3 x 10⁸ m/s), λ is wavelength and f is frequency.

From the question above, we know that

λ = 300 m

By substituting the given parameter, we can calculate the frequency of radiowaves

c = λ . f

f = c / λ

f = 3 x 10⁸ / 300

f = 10⁶ Hz

f = 1 MHz

Hence, the frequency of radiowaves is 10⁶ Hz or 1 MHz.

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Which of the following changes would cause the fusion rate in the sun’s core to increase?

a. An increase in the core temperature
b. A decrease in the core radius

Answers

The  changes  that  would cause the fusion rate in the sun’s core to increase are:

a.) An increase in the core temperature and

b)A decrease in the core radius

So, correct options are a and b.

The sun is the Main Sequence star. A Main Sequence star is powered by fusing hydrogen into the Helium within its core.

For this type of  fusion to take place, a temperature of at least 10 million Kelvin is required, beyond the given  point, the fusion rate is actually directly related to the core temperature. If  temperature increases, the fusion rate will greatly increase.

Something similar happens if  core reduces its radius. This can happen at the end of the star's lifetime, shortly before it becomes the red giant. Once hydrogen is depleted, the core will start to shrink because the force of gravity, and as it gets smaller, gets very more compressed, and its temperature increases

Hence, both a and b options are correct.

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a transformer is intended to decrease the rms value of the alternating voltage from 500 volts to 25 volts. the primary coil contains 200 turns. find the necessary number of turns n2 in the secondary coil.

Answers

A transformer is intended to decrease the rms value of the alternating voltage from 500 volts to 25 volts. the primary coil contains 200 turns:

To find the necessary number of turns n2 in the secondary coil of the transformer, we can use the equation:

V1/V2 = N1/N2

Where V1 and V2 are the rms values of the voltage in the primary and secondary coils, respectively, and N1 and N2 are the number of turns in the primary and secondary coils, respectively.

In this case, V1 = 500 volts, V2 = 25 volts, and N1 = 200 turns.

Plugging these values into the equation, we get:
500/25 = 200/N2

Simplifying, we get:
N2 = (200 x 25)/500 = 10 turns

Therefore, the necessary number of turns in the secondary coil is 10.

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what happens to the erosive power of a stream as velocity increases?

Answers

The erosive power increases as the velocity increases of the stream.

What is power?

Power is the rate of job completion or energy delivery in science and engineering. It is denoted by the symbol W/t, which is the product of the amount of labor (W) or energy (E) transported divided by the amount of time (t).

Any given amount of work can be finished fast with a high-powered motor or slowly with a low-powered motor. Units of power, which measure work (or energy) per unit of time, include joules per second (or watts), ergs per second, and foot-pounds per minute.

For picking up material as opposed to carrying it in suspension, more velocity is required. The rate of erosion and velocity both rise during the peak discharge. Deposition and transportation are barely separated. It follows that merely a slight drop in velocity causes sedimentation.

Therefore, the erosive power decreases as the velocity increases of the stream.

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The erosive power of a stream as velocity increases because no force of interaction between positive and neutral object.

What is Coulomb's law?

Coulomb's law states that the electric force is directly proportional to the product of the charged objects.

The electric force is also inversely proportional to the square of the distance between the charges and is denoted below:

F= kq1q2/ r² (Newton)

where,

F=electric force

k=Coulomb constant

q1, q2=charges

r=distance of separation

So, here we know that when two objects are charged and placed at some distance "d" apart then the two objects will either attract or repel each other.

If the charges are of similar type then the two objects will repel while if the charges are of opposite nature then two objects will attract each other.

So here when a charge object is near the neutral then there is NO force between two objects.

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Convection can occur in which two substances?

Answers

Answer: Convection can occur in both fluids (liquids and gases) and, to a lesser extent, in solids.

Explanation:

Convection is a mode of heat transfer that involves the movement of fluid (liquids or gases) due to temperature differences within the fluid. It occurs as a result of the fluid's natural tendency to move from areas of higher temperature to areas of lower temperature.

Convection in Fluids (Liquids and Gases):

In fluids, convection can occur due to the different densities resulting from temperature variations. When a fluid is heated, it becomes less dense, causing it to rise. Conversely, when a fluid is cooled, it becomes more dense, causing it to sink. This creates a cyclical movement within the fluid known as a convection current.

In liquids, examples of convection can be observed in everyday scenarios such as boiling water. As heat is applied to the bottom of a pot, the heated water near the bottom becomes less dense and rises to the top. This movement creates a circulation pattern, transferring heat from the bottom of the pot to the rest of the liquid.

In gases, convection is responsible for various atmospheric phenomena. For instance, during the daytime, the land heats up faster than the adjacent air. The heated air expands, becomes less dense, and rises, creating an upward convection current. This process contributes to the formation of wind and the circulation of heat throughout the atmosphere.

Convection in Solids:

While convection primarily occurs in fluids, it can also manifest to a lesser extent in solids. In solids, heat is mainly transferred through conduction, where energy is passed from one particle to another. However, in some cases, convection-like movements can be observed in solids with free-flowing particles or when there are temperature gradients. An example of this is the convection-like movements observed in the Earth's mantle, where heated material rises and cooler material sinks, contributing to plate tectonics.

To summarize, convection primarily occurs in fluids (liquids and gases) due to the density changes caused by temperature variations. However, in solids with certain conditions, convection-like movements may also be observed.

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Answer:

Convection can occur in fluids, such as liquids and gases.

Explanation:

Convection is a type of heat transfer that happens in fluids such as liquids and gases.

Convection is the process through which heat is transferred by the movement of a fluid. It is based on the idea that as a fluid is heated, it loses density and rises, while a colder fluid descends to take its place. Convection currents are a type of circulatory pattern caused by fluid movement.

Convection may be seen in liquids, for example, while heating a pot of water on a stove. The water in contact with the heat source grows hotter and less dense as heat is supplied to the bottom of the pot. This heated water rises to the surface, while the colder and denser water sinks. Water sinks to the bottom, causing a convection stream to form. This process is repeated, resulting in the diffusion of heat throughout the liquid.

Convection may also occur in gases. For example, as air is heated, it loses density and rises, whereas colder air descends. This phenomena may be seen when heated air rises from a heater or hot air balloons are inflated. Convection currents are formed when air moves due to temperature differences, allowing heat to be transferred.

In summary, convection may occur in both liquids and gases, and it includes the transmission of heat via fluid movement caused by temperature and density variations.

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A particle moves along an s-axis, use the given information to find the position function of the particle.

Answers

To find the position function of the particle, we can integrate the given acceleration function, a(t), twice with respect to time. Given that a(t) = t^2 + 2t - 7, we'll integrate it twice to obtain the position function, s(t).

Let's proceed with the integration step by step:

Step 1: Integrate a(t) with respect to time to find the velocity function, v(t):

∫(a(t) dt) = ∫((t^2 + 2t - 7) dt)

Integrating each term separately:

∫(t^2 dt) + ∫(2t dt) - ∫(7 dt)

= (1/3)t^3 + t^2 - 7t + C1

Since we know that v(0) = 0, we can substitute t = 0 and solve for the constant C1:

v(0) = (1/3)(0)^3 + (0)^2 - 7(0) + C1

0 = 0 + 0 + 0 + C1

C1 = 0

Therefore, the velocity function becomes:

v(t) = (1/3)t^3 + t^2 - 7t

Step 2: Integrate v(t) with respect to time to find the position function, s(t):

∫(v(t) dt) = ∫(((1/3)t^3 + t^2 - 7t) dt)

Integrating each term separately:

∫((1/3)t^3 dt) + ∫(t^2 dt) - ∫(7t dt)

= (1/12)t^4 + (1/3)t^3 - (7/2)t^2 + C2

Since we know that s(0) = 0, we can substitute t = 0 and solve for the constant C2:

s(0) = (1/12)(0)^4 + (1/3)(0)^3 - (7/2)(0)^2 + C2

0 = 0 + 0 + 0 + C2

C2 = 0

Therefore, the position function becomes:

s(t) = (1/12)t^4 + (1/3)t^3 - (7/2)t^2

Hence, the position function of the particle moving along the s-axis is given by s(t) = (1/12)t^4 + (1/3)t^3 - (7/2)t^2.

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Two people carry identical 40.0N boxes up the ramp. The ramp is 2.00m long and 1.00m high. Person A walks up the ramp in 2.00s. Person B walks up the ramp in 4.00s. What is the difference in power the two people use to carry the boxes up the ramp

Answers

The difference in power for two people carrying the boxes up the ramp is 30 W.

Given the following data:

W = 40.0 N is the weight of a box.

The ramp's length is L = 2.00 m.

The platform height is h = 1.0 m.

t = 2.0 s is the time interval for the first person.

t' = 4.0 s is the time interval for the other person.

Power is the rate at which energy is used. The expression for the Power is given in the given question as,

P = W×(L+h)/t

Assume that you are solving for the first person.

P₁ = W(L+h)/t₁.................................................................. (1)

Substitute the following values into equation (1):

P₁ = 40(2+1)/2

P₁ = 20(3) (3)

P₁ = 60 W.

Regarding the second person,

P₂ = W(L+h)/t₂..................................................................... (2)

Fill in the blanks in equation (2) as follows:

P₂ = 40(2+1)/4

P₂ = 10*(3) *3)

P₂ = 30 W

Obtaining the difference in power as

P = P₁ - P₂

P = 60-30

P = 30 W

As a result, we can conclude that the difference in power for two people carrying the boxes up the ramp is 30 W.

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Vector L is 303 m long in a
205º direction. Vector M is
555 m long in a 105° direction.
Find the magnitude of their
vector sum

Answers

Answer:

584.32m

Explanation:

Firstly, we need to find the x and y components of each vector.

x-component for vector L=303cos205°=-274.61

y-component for vector L=303sin205°=-128.05

x-component for vector M=555cos105°=-143.64

y-component for vector M=555sin105°=536.09

Since it's the vector sum, we add the x and y components of each vector.

Resultant vector x-component -274.61+(-143.64)=-418.25

Resultant vector y-component -128.05+536.09=408.04

Now, to find the magnitude, we use the formula \(\sqrt{x^{2}+y^{2}}\)

sqrt(-418.25^2+408.04^2)=584.32m

Check my work for errors just in case.

Can you give me an example of how sound passes through a solid?please help

Answers

When a layer of cold air close to the ground is covered by a layer of warmer air, sound waves traveling upward may be bent, or refracted, by the difference in temperature and redirected toward the ground.

Answer:

sound travels through steel about 15 times faster than through air.

Explanation:

20 points HELP‼️ Which is more important in developing who
you are-environment or genetics? Explain why you believe this.

Answers

Answer:

Environment

Explanation:

Your Environment, More Than Genetics, Determines Your Immune Health. When it comes to immunity, the environment you grow up in, or how you were 'nurtured' , is more important than nature, a new study suggests. Particularly as you get older.

Can anyone help me with this question please
I’ll mark as brainliest
No links.

Can anyone help me with this question please Ill mark as brainliest No links.

Answers

the transverse Wave which is Answer:2

Answer:

1

Explanation:

amplitude is the maximum distance from the rest of the particles. amplitude is thus measured from the rest position to the peak of a crest or of a trough.

as seen below, graph 1 has an amplitude of 1 while both graph 2 and 3 has an amplitude of 2.

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When I got to my cabin at camp, the other campers showered me with a chorus of greetings. "I’m Alex,” the red-headed boy closest to me said. "Javier,” called the boy with the glasses sitting next to him. "Miguel,” waved the boy in the corner. He was sitting surrounded by a pile of comic books. A fourth boy, taller than the rest, walked up and shook my hand. "I’m Asher. Grab a bunk.”
Why did the author most likely use dialogue instead of description?
A.to allow the plot to progress
B. to show how the narrator felt
C. to emphasize the point of view
D.to show who the characters are


the answer is C

Answers

c                                                            

Explanation: c because you said it lol

Answer:

c

Explanation:

Because of the high temperature of earth's interior, _______ can move molten rocks within the planet."

Answers

Because of the high temperature of earth's interior, convection can move molten rocks within the planet. Convection is the movement of fluids, such as liquids and gases, due to the differences in their densities caused by temperature changes.

Convection currents are present in Earth's mantle and core, and they are responsible for moving the molten rock within the planet. The mantle is composed of hot, solid rock that behaves like a plastic, which means that it can flow very slowly over long periods of time due to convection. The movement of the molten rock generates heat, which is transferred to the surface through volcanic eruptions and geothermal vents.

Convection is also responsible for the motion of Earth's tectonic plates, which are large slabs of rock that move slowly around the surface of the planet. These plates collide and slide past each other, creating earthquakes and mountain ranges.

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A ball is thrown horizontally from the top of a building at 2 m/s. It takes 3 seconds to reach the ground. How far did the ball travel horizontally (dx)?

Answers

Every second it travels 2 meters and it traveled 3 so (2 x 3) would be 6meters it traveled

While Steve is trekking in the Rocky Mountains, he realizes that he does not have a compass. He decides to find north direction at twelve noon. Which of these methods should he try?
A) locate the position of the Pole Star in the sky
B) face the Sun directly and observe the direction of his shadow
C) blow upon some dry grass to determine the direction of the wind
D) pour some water on the ground and observe the direction of its flow

Answers

Answer:

B

Explanation:

The Sun's shine comes from right above the Equator. The Equator is south from the Rocky Mountains, so the sunshine comes from south and the shade (the opposite direction of the sun) is north.

Explain in your own words, what would happen to the size of the squirrel population if
all of the badgers in the environment were eliminated? why

Answers

Answer:

the reason I ask is that you are not even going to be a little late to the party but

A photon with wavelength of 0.110 nm collides with a free electron that is initially at rest. After the collision, the photon's wavelength is 0.114 nm.
What is the kinetic energy of the electron after the collision?
K_e =

What is the speed of the electron after the collision?
upsilon_e = m/s

If the electron is suddenly stopped (for example, in a solid target), all of its kinetic energy is used to create a photon. What is the wavelength of this photon?

Answers

The wavelength of the photon created when the electron is suddenly stopped is approximately 485 nm.

Since the photon's wavelength changes from 0.110 nm to 0.114 nm after the collision, we can calculate the change in energy as ΔE = E_final - E_initial.

ΔE = (hc/λ_final) - (hc/λ_initial)

Substituting the values and converting the wavelengths to meters:

ΔE = (6.626 x 10⁻³⁴ J·s × 3 x 10⁸ m/s) * (1/0.114 nm - 1/0.110 nm)

ΔE ≈ 4.33 x 10⁻¹⁹ J

The kinetic energy of the electron after the collision (K_e) is equal to the change in energy (ΔE). Therefore, K_e = 4.33 x 10⁻¹⁹ J.

To find the speed of the electron after the collision (υ_e), we can use the equation: K_e = (1/2)mv²

Solving for υ_e: υ_e = sqrt((2K_e) / m)

Substituting the values and the mass of an electron (m = 9.109 x 10⁻³¹ kg): υ_e ≈ 2.03 x 10⁶ m/s

Therefore, the speed of the electron after the collision is approximately 2.03 x 10⁶ m/s.

If the electron is suddenly stopped, all of its kinetic energy is used to create a photon. To find the wavelength (λ) of this photon, we can use the energy equation mentioned earlier and solve for λ: E = hc/λ

Substituting the kinetic energy of the electron (K_e) into the equation:

K_e = hc/λ

λ = hc/K_e

Substituting the values:

λ ≈ (6.626 x 10⁻³⁴ J·s × 3 x 10⁸ m/s) / (4.33 x 10⁻¹⁹ J)

λ ≈ 4.85 x 10⁻⁷ m or 485 nm

Therefore, the wavelength of the photon created when the electron is suddenly stopped is approximately 485 nm.

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