What happens to matter when thermal energy is added to a substance at its melting and boiling point?

Answers

Answer 1

Endothermic processes occur when heat is applied to a substance, as in melting, evaporation, and sublimation. Heat increases the speed of the molecules in this case, forcing them to travel quicker.

Thermal energy is the energy contained inside a system that controls its temperature. The passage of thermal energy is defined as heat. Thermodynamics is a discipline of physics that deals with how heat is transmitted between various systems and how work is done in the process (see the first law of thermodynamics).

Thermal energy transmission is classified into three types: conduction, radiation, and convection. Convection is a cyclical process that happens exclusively in liquids.

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Related Questions

If you cool down a container of gas, there will be _______ collisions with the side of the container, resulting in ______ pressure.

Answers

A container of gas might lose pressure by cooling down because there are fewer collisions with the container's side.

What transpires when a container of gas is cooled?

When the gas in the supplied sealed jar is chilled, the molecules travel more slowly. This occurs because when the temperature drops, gaseous particles get closer to one another (on cooling). Upon cooling, there are also fewer accidents.

How does a gas's compression affect the frequency of collisions inside a container?

The container's capacity has shrunk, which reduces the distance the gas molecules must travel before colliding. As a result, there will be more collisions per second, increasing the pressure.

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If a dolphin is producing a vocalization with a frequency of 35 Hz, traveling at 1,470 m/s, what is the wavelength of the soun

Answers

According to the equation wavelength = speed/frequency, the dolphin's sound has a 42 m wavelength.

What does wavelength mean?

The distance between two identification based (consecutive crests) in adjoining cycles of a waveform signal as it travels across space or along wire is known as its wavelength. In wireless systems, this length is frequently specified in metres (m), centimetres (cm), or millimeters (mm). The numbers of times per second that a sound waves wave repeats is its frequency, which is often referred to as its pitch.

Given data -

speed = 1,470 m/s

frequency = 35 Hz

wavelength = speed / frequency

wavelength = 1,470 / 35

wavelength = 42 m.

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a car with a mass of 900kg how many is the car weight on earth?

Answers

Answer:

9000N

Explanation:

gravitational field strength of earth is approximately 10N/kg .

900kg×10N/kg

=9000N

Rank the following items that describe distances from longest distance (left) to shortest distance (right). (If two distances are equal, drag the second item on top of the first item. )a- the distance from the Milky Way Galaxy to the Andromeda Galaxyb- the distance from the Sun to the center of the Milky Way Galaxyc- the distance from Earth to Alpha Centaurid- one light-yeare- the distance across out solar system (to Neptune)f- the average distance from Earth to the Sun & one astronomical unit (AU)

Answers

Galaxy: The distance was calculated in 2004 using the Cepheid variable method to be 2.51 0.13 million light-years (770 40 kpc). In the Andromeda Galaxy, an eclipsing binary star was found in 2005.

Explanation for the above answer:

The universe, Earth, the solar system, the Milky Way galaxy, the local group, and the local supercluster.

Astronomers discovered a truly enormous galaxy earlier this year. Alcyoneus is a massive radio galaxy that is around 3 billion light-years away and extends 5 megaparsecs into space. Its length, 16.3 million light-years, makes it the longest structure of known galactic origin.

Our Sun and the Earth are travelling at a speed of about 43,000 miles per hour (70,000 km/hr) roughly in the direction of the brilliant star Vega in the constellation Lyra relative to the local standard of rest.

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Impulse is ________. View Available Hint(s)for Part A the time interval that a force lasts. the area under the force curve in a force-versus-time graph. a force that is applied very suddenly. a force that is applied at a random time.

Answers

The area below the force curve on a force versus time graph is known as the impulse.

The concept of "impulse" refers to how much of an impact a force has over time. The cricket batsman striking the ball is one of the most well-known and frequently used illustrations. The bat significantly changes the ball's trajectory despite making contact with it for a relatively brief period and launching a bicycle. Everyone occasionally makes rash decisions, particularly when we're young. In general, as we get older, we learn to control our urges. It might or might not be a sign of a problem. A mental health concern may be indicated by persistently impulsive behavior.

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a mass m is moving horizontally across a frictionless floor with velocity v. The mass now encounters

Answers

Option B is V2/Mg  gives the total distance travelled by the mass before it is slowed to a stop by friction

The total distance traveled by the mass before it is slowed to a stop by friction can be determined by calculating the work done by the force of friction on the mass. As we have seen before, the force of friction acting on the mass is given by the equation F = friction = umg.

Now, the work done by the force of friction on the mass is given by W = Fd. Using the definition of force of friction and assuming that the final velocity of the mass is zero, we can write the following equation:

umgd = (1/2)mv^2

Dividing both sides by m*g and simplifying the equation we get:

d = (1/2) * u^-1 *v^2 /g

If we compare this expression with the options provided, we can see that it matches with option B: V^2/Mg. Therefore, the total distance traveled by the mass before it is slowed to a stop by friction is given by V^2/Mg.

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The complete question is :

With velocity, a mass moves horizontally along a nearly frictionless floor. The mass now comes into contact with a section of the floor that has a coefficient of kinetic friction equal to Which option gives the total distance travelled by the mass before it is slowed to a stop by friction?

Option A is 2V2/Mg.

Option B is V2/Mg

Why is countercurrent flow more efficient?

Answers

The counter-current method is the most efficient because it maintains the same concentration gradient over the whole length of the circuit.

The heat transfer performance of counter flow, on the other hand, may be up to 15% more effective, depending on the flow rate and temperature, allowing for the use of a smaller heat exchanger and saving both money and space.

One of the key advantages of counter-current flow is its capacity to extract more heat from the heating fluid. It is crucial to note that the LMTD value for counter-current flow is much larger than for concurrent flow at the same terminal temperature.

A phenomenon known as countercurrent exchange, which occurs in nature and is imitated in industry and engineering, involves the crossover of a certain attribute, typically heat or a chemical, between two flowing bodies moving in opposite directions.

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1. A 10 kg rubber block sliding on a concrete floor (μ=0. 65) 2. A 248 kg object moving at 19 m/s comes to stop over a distance of 38 m. What is the coefficient of kinetic friction between the surfaces? HURRY 50pts and dont take the points just answer the question

Answers

The coefficient of kinetic friction between the surfaces is 0.48.

What is kinetic friction?

Friction is simply defined as the force that prevents a sliding object from moving. Kinetic friction is a natural phenomenon that disrupts the motion of two or more objects. The force acts in the opposite direction of the motion of the object.

When we stop a car, we use brakes, which is where friction comes into play. When walking, friction is to thank once more. But when we have to stop in the middle of a puddle, things become more difficult because friction is less and cannot help as much.

Solve for a using K3:    [tex]$v^2=v_0^2+2 a d$\\[/tex]

[tex]& 19^2=0_0^2+2 a 38 \\& a_x=-4.75 \mathrm{~m} / \mathrm{s}^2[/tex]

[tex]\begin{aligned}& \text F_{\text {net }}=-f_k=m a_x, \text { and } \\& -f_k=\mu_k F_n=\mu_k m g, \text { so we can say } \\& -m a_x=\mu_k \cdot m g \\& \mu_k=\frac{m a_x}{m g}=\frac{-a_x}{g} \\& \mu_k=\frac{-(-4.75)^m / s^2}{9.8}=0.48\end{aligned}$$[/tex]

Thus, The coefficient of kinetic friction between the surfaces is 0.48.

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A ball is tossed straight up from the surface of a small spherical asteroid with no atmosphere. The ball goes to a height equal to the asteroid's radius and then falls straight down toward the surface of the asteroid. What forces if any act on the ball while it is on the way up?
a. only a decreasing gravitational forces acts downward
b. only an increasing gravitational force that acts downwards.
c. only a constant gravitational force that acts downwards
d. Both a constant gravitational force that acts downwards and a decreasing force that acts upwards.
e. No forces act on the ball

Answers

'Only a decreasing gravitational force that acts downward' act on the ball while it is on the way up.

What is gravitational force?

Gravitational force is the force of attraction between two objects that have mass. It is the force of gravity that causes objects to be pulled towards each other. The strength of the force depends on the mass of the objects and the distance between them.

Since the ball is moving away from the Earth, the gravitational force between the two objects is decreasing. The ball does not experience any upward force and thus the only force acting on it is the decreasing gravitational force that acts downward.

Hence, Option A is correct.

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different between simple cell and dry cell

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Answer:

Simple cell has liquid chemicals and it is difficult to carry from one place to another. Dry cell has no solution. So, it is easier to carry it from one place to another and there is no risk of spilling acid from the dry cell. So, dry cell is more useful than simple cell in our daily life.

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Elena failed her algebra exam and blames her teacher for teaching the concepts poorly. How would attribution theory explain Elena's behavior?


Elena is making a fundamental attribution error because she is underestimating her own influence on the situation.

Elena is making a fundamental attribution error because she is underestimating her own influence on the situation.


Elena is using internal attribution because she is blaming events that were within her own control.

Elena is using internal attribution because she is blaming events that were within her own control.


Elena is using situational attribution because she is blaming events that were outside of her control.

Elena is using situational attribution because she is blaming events that were outside of her control.


Elena is making a dispositional attribution because she is assigning her teacher's behavior to her character

Answers

Elena is using situational attribution because she is blaming events that were outside of her control.

Attribution is a concept used in psychology to describe how people see the reasons of their daily experiences as either external or internal. Attribution theory refers to models that explain this process. To comprehend people's behaviour, we use attribution theory to assign sentiments and intentions to them. For example, when we witness someone ranting on public transportation, we may automatically use this notion. You may blame their personality, presuming they are an angry person.

Psychologists have discovered a number of biases in the way humans ascribe causality, particularly when engaging with others. The basic attribution mistake is defined as the propensity to credit dispositional or personality-based reasons for behaviour rather than taking into account environmental variables. We have a tendency to blame individuals for their own tragedies while blaming external forces for our own. Culture bias occurs when someone assumes anything about another person's conduct based on their own cultural customs and beliefs.

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What is the formula to calculate torque?

Answers

Torque =   force x distance from point of rotation

Torque is a measure of the turning effect of an applied force about a specific point or axis. It is calculated by multiplying the force applied to an object by the distance from the point of rotation to the point where the force is applied. The greater the force or the longer the distance from the point of rotation, the greater the torque. The unit of torque is typically Newton-meters (N·m) in the International System of Units (SI) or pound-feet (lb·ft) in the imperial system. Torque is essential in various fields such as physics, mechanics, engineering and robotics.

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When a motor vehicle strikes a tree while traveling at 40 mph, the unrestrained occupant:
A. is thrust under the steering column onto the floorboard.
B. remains in motion until acted upon by an external force.
C. will decelerate at the same rate as the motor vehicle.
D. will most likely be thrown over the steering column.

Answers

D. will most likely be thrown over the steering column. When an unrestrained occupant is in a motor vehicle that strikes a tree while traveling at 40 mph, the occupant will be thrown from the vehicle due to the force of the impact. Without a seatbelt, the occupant will be thrown forward over the steering column.

When a motor vehicle strikes a tree traveling at 40 mph, the unrestrained occupant will be thrown forward and over the steering column with a force that is greater than the force of the motor vehicle's deceleration. This is due to the fact that the occupant is not restrained and therefore is not held in place by the seatbelt, allowing them to travel at the same speed until acted upon by an external force.

When a motor vehicle strikes a tree traveling at 40 mph, the unrestrained occupant will be thrown forward and over the steering column with a force that is greater than the force of the motor vehicle's deceleration.

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Select the correct answer. if you have a heat engine with a hot reservoir of 515 k and a cold reservoir of 190 k, what is the maximum possible thermal efficiency of the system?
a. 63.1%
b. 75.2%
c. 52.1%
d. 67.9%

Answers

The maximum possible thermal efficiency of the system is d. 67.9%.

By utilizing the physics of heat engines and Second Law of Thermodynamics, we can calculate that the maximum achievable efficiency of a heat engine with a hot reservoir at 515 k and a cold reservoir at 190 k is 67.9%.

This result serves as an upper limit for all practical engines, regardless of the specifics of their design or engineering capabilities.

Making this maximum efficiency is possible through improvements in technology and increased knowledge on thermodynamics and energy production.

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Answer: A.

63.1%

Explanation: edmentum

600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever
would have been used with an effort arm of 12 meters and a load arm of 6 meters? (1 point)
O 100 J
0 72 J
O 50 J
O 600 J

Answers

Accounting for things like how many team members should be assigned to a task, how many resources are required, how many hours tasks will take and more.

Why is it necessary for the effort arm to be longer than the load arm?

When the effort arm is longer than the load arm, there is a significant mechanical advantage.The lever is made up of two “arms”: The load arm (also known as the output arm) is the portion of the lever that is directly attached to the load. The effort arm (or applied force arm) is the section of the lever to which the effort, or input force, is applied.

A= W P = 1 , Where W represents the load and P represents the effort. So, if we utilize one fixed pulley to raise the weight, the effort required will be 50 k g w t in one direction.

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He watched as night gave way to sunrise, dimming the stars in the sky. What is the meaning of dimming as it is used in the sentence

Answers

It is believed that human activity has increased the amount of particulates or aerosols in the atmosphere, including sulfate aerosols.

Dimming: What kind of word is that?

dimmed, dimming, verb (used with subject), dimmeddull or make dimmer. to change (a vehicle's headlights) from high to low beam.dimmed, dimming, verb (and use it without object), dimmed

Dim sum – how to use in a sentence?

The restaurant's dim sum was quite well-liked.On the weekends, waiters drive a cart that contains the dim sum in the old-fashioned manner.

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the goal of condensed matter physics is to explain all the properties of matter by its electronic configuration

Answers

The study of the macroscopic characteristics of materials is known as condensed matter physics.

It attempts to predict the collective behaviours of extremely large quantities of electrons, atoms, or molecules using the well-established rules of microscopic physics.

More unusual condensed phases include the Bose-Einstein condensate found in ultracold atomic systems, the ferromagnetic and antiferromagnetic phases of spins on crystal lattices of atoms, and the superconducting phase displayed by some materials at low temperatures. Condensed matter physicists use experiments to measure different material properties and mathematical models developed by using the physical laws of quantum mechanics, electromagnetism, statistical mechanics, and other theories to understand how these phases behave.

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How do you find torque with force and distance?

Answers

Torque =   force x distance from point of rotation

Torque is a measure of the turning effect of an applied force about a specific point or axis. It is calculated by multiplying the force applied to an object by the distance from the point of rotation to the point where the force is applied. The greater the force or the longer the distance from the point of rotation, the greater the torque. The unit of torque is typically Newton-meters (N·m) in the International System of Units (SI) or pound-feet (lb·ft) in the imperial system. Torque is essential in various fields such as physics, mechanics, engineering and robotics.

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A car moves in a straight line at 20.0 m/s for 8.00 miles, then at 30.0 m/s for another 8.00 miles. a. Is the car's average speed less than, greater than, or equal to 25.0 m/s

Answers

The average speed of the car is 24 m/s. The average speed of the car is therefore below 25.0 m/s.

What is speed ?

The description of rapidity. a change in the location of an object in either direction or speed. How fast something is going is determined by the distance travelled and the time required to cover that distance. Speed is a scalar quantity since it just has an arrow-like direction and no magnitude.

What is distance ?

The entire movement of an item, independent of direction, is called distance. Distance may be characterized as the quantity of ground covered, regardless of the starting or finishing points of an item.

distance (d) = 9 miles = 14.4841 km

d = 14484.1 m

1 miles = 1609.34 m

t₁= 14484.1/ 20

 = 724.2 sec

t₂= 14484.1/ 30= 482.8 sec

total time ( t) = t+t

t= 724.2+ 482.8 = 1207 sec

Vavg = 2d/t= 2*14484.1/1207

Vavg = 24m/s

24< 25

lessthan 25m/s

car average speed (Vavg) = 24 m/s.

Therefore, the car average speed is 24 m/s.

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Is it
-Claim
-CounterClaim
-Rebuttal

Answers

Answer: Counter Claim

Explanation: The underlined sentence is giving an opposing argument of the first sentence.

What is the velocity of a rocket that goes 700 km north in 25 seconds, and then travels another 700km south in 25seconds?

Answers

The rocket's velocity that goes 700 km north in 25 seconds, then travels another 700km south in 25 seconds is 28,000 m/s.

Given,

Distance = 700km, which is 700 * 103m, and Time = 25 seconds.Velocity is known to be equal to displacement times time.Rocket's velocity is 700*103/25, or 28*103 m/s.As a result, the speed is 28,000 m/s.

The orbital velocity, which is 7.9 km/s and more than 20 times the speed of sound, is measured in this manner.V equals u ln (m I m). The rocket equation is the name of this outcome. Konstantin Tsiolkovsky, a Soviet physicist, developed it first in 1897. It provides us with the change in velocity that the rocket experiences as a result of burning a mass of fuel that reduces the total mass of the rocket from m0 to m.

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define visible light radiation

Answers

Visible light is a type of electromagnetic radiation that is visible to the human eye. The visible light spectrum is the range of wavelengths of electromagnetic radiation that is visible to the human eye, and it corresponds to the colors of the rainbow: red, orange, yellow, green, blue, indigo, and violet. The visible light spectrum has wavelengths that range from about 400 nanometers (nm) to about 700 nm. Wavelengths shorter than 400 nm are called ultraviolet light, and wavelengths longer than 700 nm are called infrared.

A mass of 1.5 kg moves in a circle of radius 25 cm at 2.0 Hz. Calculate:
a) the velocity. b) the acceleration. c) the centripetal force acting on the mass.

Answers

Answer:

To solve this problem, you can use the following formulas:

Velocity (v) = 2πr * f

Acceleration (a) = v^2 / r

Centripetal force (F) = ma

In these formulas, r is the radius of the circle, f is the frequency of the circular motion, and m is the mass of the object.

a) To find the velocity of the mass, you can substitute the values given into the formula for velocity:

v = 2πr * f

= 2π(0.25 m) * 2.0 Hz

= 1.57 m/s

So, the velocity of the mass is approximately 1.57 m/s.

b) To find the acceleration of the mass, you can substitute the values given into the formula for acceleration:

a = v^2 / r

= (1.57 m/s)^2 / 0.25 m

= 4.45 m/s^2

So, the acceleration of the mass is approximately 4.45 m/s^2.

c) To find the centripetal force acting on the mass, you can substitute the values given into the formula for centripetal force:

F = ma

= 1.5 kg * 4.45 m/s^2

= 6.68 N

So, the centripetal force acting on the mass is approximately 6.68 newtons.

The electron microscope has been widely used to obtain highly magnified images of biological and other types of materials. When an electron is accelerated through a particular potential field, it attains a speed of 9.47 * 106 m>s. What is the characteristic wavelength of this electron

Answers

wavelength run at 9.47 * 106 m/s. E=hf = 12mv2 = h/mv = 6.63x10-34"/ [(9.1094x10-31)(9.82x106)] when an electron moves through a specific potential field more quickly.

What are the purposes of electron microscopes?

9.47 * 106 m/s speed. What is this electron microscopy's (EM) signature wavelength? EM is a method for acquiring high-resolution pictures of both biological and non-biological materials. It is employed in biomedical to look at the precise structure of organelles, macromolecular complexes, tissues, cells, and cells.

Do electron microscopes have greater power?

This increases the power of electron microscopes over light microscopes. A light microscope can factor model up to 2000 times, but depending on the model you choose, an electron microscope may magnify anything from 1 and 50 million times! Look at the outcomes to see.

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Two waves meet while traveling through the same medium. The crests of wave one meet up with the crests of wave two. If wave one has an amplitude of 4 and wave two has an amplitude of 3, what is the amplitude of the wave resulting from the interference

Answers

If wave one has an amplitude of 4 and wave two has an amplitude of 3, what is the amplitude of the wave resulting from the interference

Equation Used

The resulting intensity is calculated as follows: I = (sqrt(I1)-sqrt(I2))2

3 variables and 1 function are used in this formula.

Used Functions

Square root function and sqrt (Number)

used variables

The effect of two intensities coming together is called the "resulting intensity" (measured in candela).

The energy that the first wave transfers over a surface of a given area in a unit of time is measured as intensity 1 (measured in candela), which is equal to the energy density times the wave speed.

The energy that the second wave transfers over a surface of a certain area in a unit of time is measured as intensity 2 (measured in candela), which is equal to the energy density times the wave speed.

No conversion is necessary for intensity 1: 4 candela to 4 candela.

Intensity 2: No Conversion Needed 3 Candela to 3 Candela

Replacement of Input Values in a Formula

I is equal to (sqrt(I1)-sqrt(I2))2 --> (sqrt(4)-sqrt(3)).

2 Assessing...…

I = 0.0717967697244909

Candela: 0.0717967697244909 No Conversion Is Necessary

RESULT 0.0717967697244909 A candela Outcome Intensity (Calculation completed in 00.016 seconds)

What is Wave Interference?

When two waves that are moving in opposite directions arrive at the same location simultaneously, interference results. The two waves will combine into a temporary, larger wave with an amplitude equal to the sum of their individual amplitudes if their crests and troughs completely line up. Constructive interference is what this is. On the other hand, if the crests of two waves coincide, they either combine to form a smaller wave or completely cancel each other out. We refer to this as destructive interference.

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A proton follows the path shown in (Figure 1) . Its initial speed is v0 = 2.1x10^6 m/s
Figure 1:
Part A What is the proton's speed as it passes through point P? Express your answer to two significant figures and include the appropriate units.
vP =

Answers

The velocity at Point P is 1.72 x 10^(6) m/s.

Mass of proton is Mp = 1.67x10^(-27)

Initial velocity Vo = 2.1x10^6 m/ s

As the proton is moving its Total energy should remain constant throughout the motion to point P.

Conserving the energy,  

Initial energy = Final energy

(1\2)MpVo^2 + (kQ1Q2)/R1 = (1/2)MpV^2 +(kQ1Q2)/R2  

Given R1 = 3.0 mm  

R2 = 4.0 mm  

2kQ1Q2( 1/R1 - 1/ R2) = Mp( V^2 - Vo^2)

2x9x10^9x(-10x10^(-9))x1.6x10^(-19) x {(1000/3)-(1000/4)} = 1.67x10^(-27){ V^2 - Vo^2}  

-2.4x10^(-15) = 1.67x10^(-27){V^2- Vo^2}  

-1.44x10^12 + Vo^2 = V^2  

-1.44x10^12 + (2.1x10^6)^2. = V^2  

2.97x10^(12) = V^2

V = 1.72x10(^6) m/s  

Hence velocity at Point P is 1.72 x 10^(6) m/s.

Proton's speed is dependent on a variety of factors, such as its energy and environment. When protons are released from an accelerator, their speed can be as high as nearly the speed of light, or roughly 300 million meters per second. When protons are found in an environment such as space or the Earth’s atmosphere, their speed is much lower.

In space, protons typically move at around 100 km/s or 0.1% of the speed of light. Within Earth’s atmosphere, protons tend to move much slower, usually around 10 km/s. In the upper atmosphere, protons may be accelerated by solar wind or cosmic rays to speeds of up to 400 km/s. Protons may also be slowed down by collisions with other particles, such as electrons or atoms. In general, the speed of a proton is determined by its energy and the environment it is in.

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Complete Question:

A proton follows the path shown in (Figure 1). Its initial speed is

[tex]V_0[/tex] = 2.1x10^6 m/s.

Part A What is the proton's speed as it passes through point P? Express your answer to two significant figures and include the appropriate units.

[tex]V_P[/tex][tex]= ?[/tex]

For the segment AB in the bacterium's trajectory, calculate the x component of its velocity.
Express your answer in micrometers per second
UABx = 2o pm/s

Answers

For segment AB in the bacterium's trajectory, The x component of its velocity is 3.92m/s.

[tex]AB_X = 50um AB_Y = 10um[/tex]

[tex]AB =\sqrt{50^{2}+ 10^{2} } = 50.99um[/tex]

[tex]t = \frac{AB}{20} = 2.55[/tex]

[tex]V_ABY = \frac{AB_Y}{T}[/tex]

[tex]\frac{10}{2.55}[/tex] [tex]= 3.92m/s[/tex]

Speed is the directional pace of an item in motion as an illustration of its fee of change in position as discovered from a specific body of reference and as measured with the aid of a selected well-known time (e.g. 60 km/h northbound). speed is an essential idea in kinematics, the department of classical mechanics that describes the motion of our bodies.

Velocity is a physical vector quantity; both importance and route are had to define it. The scalar absolute value (significance) of velocity is known as pace, being a coherent derived unit whose amount is measured within the SI (metric system) as meters per 2d (m/s or m⋅s−1). as an example, "5 meters per 2d" is a scalar, whereas "5 meters in step with 2nd east" is a vector. If there's an exchange in speed, direction, or each, then the object is stated to be present process an acceleration.

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Why is 90-degree angle important?

Answers

90-degree angles are used as reference points for measuring other angles and for defining trigonometric functions and vector relationships.

In trigonometry, the sine, cosine, and tangent functions are defined in terms of the ratios of the sides of a right triangle, where one angle is 90 degrees. In addition, in vector calculus, the dot product and cross product of two vectors are often defined in terms of the angle between the vectors, and a 90-degree angle represents a perpendicular or orthogonal relationship between the vectors. The 90-degree angle is also important in mechanics and engineering as it is used to define the concept of torque, which is the rotational equivalent of linear force. Torque is defined as the product of a force and the perpendicular distance from the line of action of the force to the axis of rotation. Furthermore, it is also used to define the concepts of stress, strain and moment of inertia in strength of materials and mechanics.

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If you rub an air filled balloon on your hair it is possible to stick on the wall and have it statically remain there. Explain how this is possible and be sure to answer the following questions in your explanation: (A) is the balloon a conductor or an insulator? (B) is the wall a conductor or an insulator?

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The balloon will be drawn to the wall once it has been rubbed sufficiently to build up a sufficient negative charge. Even though the wall should generally be neutrally charged, its charges can change, causing a positively charged region to pull the negatively charged balloon toward it.

The balloon gains electrons when it is rubbed against your hair or a piece of wool cloth, making it negatively charged. Once charged, the two balloons will move away from one another because like charges repel and like charges attract (the paper will be attracted to the charged balloons.)The pull of an electrostatic force is what keeps the ball clinging to the wall.The balloon becomes charged when we rub it with a synthetic cloth, and when it is brought close to a wall, the electrostatic force causes it to be drawn to the neutral wall.

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600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters? (10 points)

a. 72 J
b. 100 J
c. 50 J
d. 600 J

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Answer:

  d.  600 J

Explanation:

You want to know the work done to lift a box using a lever with a mechanical advantage of 2, if the work required without the lever is 600 J.

Lever

A lever trades force for distance. That is raising the box a distance of 6 m requires moving the lever arm a distance of 12 m, but only half the force is required. The product of force and distance is the same.

The total required work is unchanged: 600 J.

__

Additional comment

Actually, more work is required to lift the box using the lever. There is work applied to the box, and there is more work applied to moving the lever. (We have to assume a massless lever with no friction in these problems.)

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