Why would a parcel of air rise relative to other air in the atmosphere?
a. A parcel of air will rise if it has a lower density than the surrounding air.
b. A parcel of air will rise if the air in the parcel has a lower mass than the surrounding air.
c. A parcel of air will rise if it has a higher density than the surrounding air.
d. A parcel of air will rise if the air in the parcel has a higher mass than the surrounding air.

Answers

Answer 1

A) A parcel of air will rise if it has a lower density than the surrounding air.  is the relative order of air in the atmosphere.

In the atmosphere, air moves from high pressure to low pressure areas. When a parcel of air is heated, it expands and becomes less dense than the surrounding air. As a result, the parcel of air rises because it is less dense than the surrounding air, which creates a lower pressure area.

This process is known as convection and is responsible for many weather phenomena such as thunderstorms and cloud formation. In contrast, if a parcel of air cools and becomes more dense, it sinks because it creates a higher pressure area than the surrounding air.

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Related Questions

How does a simmering pot of spaghetti sauce illustrate convection currents

Answers

Answer:

1: As the substance’s thermal energy increases, the kinetic energy of its particles increases, and vice versa.

2: Its molecules move around more quickly, so there is more space between them, making it less dense than the air above it.

3: Warmer sauce at the bottom of the pot is less dense, so it rises, forcing cooler sauce down, where it is warmed.

4: Hot soup warms the bowl where it sits.

5: transfer of thermal energy through infrared waves

Explanation:

This is correct for the Thermal Energy Transfer Quick Check

A simmering pot of spaghetti sauce provides an excellent illustration of convection currents because the process of heating the sauce causes hot molecules to rise and cool molecules to sink. This creates a circular motion known as a convection current.

When the pot is placed on a hot stove, the heat from the burner is transferred to the bottom of the pot, which in turn heats the sauce. As the sauce heats up, the molecules nearest to the heat source become hotter and lighter. These hot, lighter molecules rise to the top of the pot, creating a convection current. As they reach the surface, they cool down, become heavier, and then sink back down to the bottom of the pot.

This process of hot molecules rising and cool molecules sinking creates a circular motion that evenly distributes the heat throughout the sauce, ensuring that it cooks evenly. The convection currents in the pot are also responsible for the bubbles that rise to the surface of the sauce, releasing trapped steam and preventing the pot from boiling over.

In conclusion, a simmering pot of spaghetti sauce illustrates convection currents because it shows how hot molecules rise and cool molecules sink, creating a circular motion that evenly distributes heat and ensures that the sauce cooks evenly.

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The 6 kg block is then released and accelerates to the right, toward the 5 kg block. The surface is rough and the coefficient of friction between each block and the surface is 0.3 . The two blocks collide, stick together, and move to the right. Remember that the spring is not attached to the 6 kg block. Find the speed of the 6 kg block just before it collides with the 5 kg

Answers

Assuming a 6 kg block is coupled to a spring with a 350 N/m spring constant, and that there is 0.5 m between the two blocks.

Solution:

Use the formula

U=1/2kx2

U=1/23500.52

U=43.75 J

Utilizing the law of conservation of energy, KE = U - f.d, where f is the frictional force acting on

1/2 mv2 = 43.75 - mgd

1/2 ×6×v²= 43.75-0.3×6×9.8×0.5\s

v= √11.643

The spring constant is k, what is it?

The "spring constant," denoted by the letter "k," is a figure that effectively indicates how "stiff" a spring is. A significant value of k indicates that more power is needed to extend it a given distance than would be necessary to stretch a less stiff spring the same distance.

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A sports car of mass m has the same kinetic energy as an SUV with a mass 3m as each is driven along the same road. Which vehicle, if either, has the largest momentum and what is the difference in their momenta, if any? Express your result as a percentage.


a. The car has about 42% greater momentum than the SUV.

b. The car has about 33% greater momentum than the SUV.

c. The SUV has about 73% greater momentum than the car.

d. Since their kinetic energies are the same, their momenta are the same. The difference is zero percent.

e. The SUV has about 66% greater momentum than the car

Answers

Option (a) is correct- The car has about 42% greater momentum than the SUV.

What is momentum ?

As a measure of an object's kinetic energy, momentum is easily defined. Simply put, momentum is the result of mass times velocity. full response Simply said, momentum is concerned with the quantity of motion. The conserved quantity is another definition for it.

What is mass?

Measurement of inertia, a fundamental characteristic of all matter. The resistance a body of matter offers to a change in its speed or location as a result of the application of a force is what it is in essence.

Therefore, Option (a) is correct- The car has about 42% greater momentum than the SUV.

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New ecosystems have been created by human land use.

Answers

True

At present, many artificial ecosystems have been built according to human purpose and demand, such as farmland, artificial grassland, greenhouse, economic forest, aquaculture farm and many more. These ecosystems have a fundamental change in structure and function compared with the original ecosystem.

Answer:

Yes

Explanation:

When humans use land, they change it to accommodate their own needs, and thus new locations and new habitats for other organisms are created. These organisms can now live there and create new organisms, and thus create new ecosystems as a result of human use of that particular piece of land.

Which of the following is true?
O Two objects with the same speed always have the same velocity.
O The velocity of an object can change even if the speed of the object remains constant.
O Velocity describes how fast an object is changing speed.
O Velocity is independent of direction.

Answers

The velocity of an object can change even if the speed of the object remains constant.

How are starting and final velocities calculated?

Initial velocity (u) squared plus two times the acceleration (a) times the displacement equals final velocity (v) squared (s). Final velocity (v) is equal to the square root of initial velocity (u) squared plus two times the acceleration (a) times displacement when v is the variable being solved for (s).

What distinguishes initial from final?

In physics, an object's initial position is its starting point for motion, and its final position is where it comes to rest.

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Elliot is going to start strength training at home. He does not have any weights and is
brand new to strength training but is young and healthy. What would be a good
household object to use to for strength training? (1 point)
O a can of soup
O a box of tissues
O a gallon of water
O a paperback book

Answers

Answer:

A gallon of water would be a good household object to use for strength training.

Explanation:

Gallon jugs of water typically weigh around 8.3 lbs, which can provide a good amount of resistance for strength training exercises such as bicep curls, shoulder presses, and tricep dips. Additionally, the handle on the jug of water makes it easy to grip and use for various exercises. Cans of soup and boxes of tissues are generally too light to provide enough resistance for strength training, and a paperback book may not be sturdy enough to use for certain exercises.

ANALOGY: Natural pressure is to artesian wells as mechanical pressure is to ___________________

Answers

Water flows naturally under pressure from an artesian well without the need for pumping.

What causes pressure in an artesian well?

A well that can bring water to the surface without a pump is known as an artesian well. This happens when the aquifer's positive pressure is high enough to force the water to the surface. This positive pressure is brought on by the confinement of an artesian aquifer between impermeable rocks or clay.

Free-flowing spring water that springs from underground wells is known as artesian water. Water in artesian wells rises to the surface naturally owing to pressure, unlike conventional wells that require a pump.

When water seeps into a porous rock material, such as limestone, sand, or gravel, artesian wells are created. Simply doing this wouldn't cause water to rise. But when a thick rock layer surrounds the porous earth.

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A 2kg block i attached to a pring for which k=200n/m it i held at an extenion of 5cm and then releaed at t=0. A, Find the diplacement a a function of time?
B,the velocity when X= A/2
C, the acceleration when X=A/2
D, the total energy when X=A/2

Answers

Accurate choice is (A) In this case, m=2kg,k=50Nm 1, and A=5cm=0.05m. Block SHM executes. its angular frequency is 1. Because the time is measured from the equilibrium position, its displacement at any time t may be calculated using the formula x=Asint=0.05sin5tm.

Oscillation and vibration: what are they?

Back and forth motion is described by the terms oscillation and vibration. Oscillation is typically used for slower motion, while "vibration" is typically used for action that is fairly quick. However, they have similar traits, hence in this book, the two terms will be used interchangeably.

What is motion-induced oscillation?

Periodic or oscillatory motion is defined as a motion that repeats itself. Due to a restoring force, an object in such motion oscillates about an equilibrium position.

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a ball is thrown vertically upwards. After resistance is negligible. What is the variation with tiem fo t of the kinetic energy E_k of hte ball

Answers

The variation with time of the kinetic energy E_k of the ball is that it decreases. This is because gravity is acting against the ball and slowing it down, so the kinetic energy is decreasing as the ball slows down.

When the ball is released, the initial kinetic energy, E_k, is given by the equation: E_k = mgh, where m is the mass of the ball, g is the gravitational acceleration, and h is the initial height of the ball. As the ball rises, its height increases, and the potential energy, U, increases. However, this increase in potential energy is at the expense of kinetic energy, so the kinetic energy decreases as the ball rises.  

When the ball reaches its maximum height, its kinetic energy is zero as it is at rest. As the ball then begins to fall, its potential energy decreases, and its kinetic energy increases. This is because the ball is falling under the action of gravity, and thus its kinetic energy increases as it accelerates downwards.  Overall, the kinetic energy of the ball decreases as it rises and increases as it falls.

This is due to the conservation of energy, which states that the total energy of a system remains constant. As the potential energy increases, the kinetic energy decreases, and vice versa.

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Which of the following statements is probably true about the very first stars in the universe?
a. They were made only from hydrogen and helium.
b. H2
c. True
d. More massive than a hundred times the Sun

Answers

The correct statement about the very first stars in the universe is that they were made only from hydrogen and helium.

What is universe?

The universe is the totality of existence, encompassing all matter, energy, space, and time, and the physical laws and constants that govern them. It is the sum total of all that exists, was, and will be, including all galaxies, planets, stars, and phenomena such as light, gravity, and electromagnetic radiation. The universe is believed to have originated with a massive explosion known as the Big Bang, estimated to have occurred around 13.8 billion years ago. Since then, the universe has been expanding outward, ever increasing in size, complexity, and energy density. Scientists believe that the universe is composed of a vast array of components, including dark matter, dark energy, and dark radiation.

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40 points!

What is the expected life span of a star with a low stellar mass, a relatively cool temperature, and dim relative brightness?

1 to 10 million years

10 to 100 million years

1,000 to 10,000 million years

10,000 to 200,000 million years

Answers

The expected life span of a star with a low stellar mass, a relatively cool temperature, and dim relative brightness is 10,000 to 200,000 million years and is therefore denoted as option D.

What is a Star?

This is referred to as an astronomical object comprising a luminous spheroid of plasma held together by its gravity an d they are usually visible at night.

We should also note that stars with a high stellar mass burn burn their fuel at a much faster rate and can shine for just millions of years while on the other hand stars with a low stellar mass burn burn their fuel at a much slower rate and can shine for just billions of years.

This therefore means that the expected life span of a star with a low stellar mass and dim relative brightness will most likely be between 10,000 to 200,000 million years hence why option D was chosen.

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The sound that reaches the ears after bouncing off a wall or a floor is called _____.
(a) direct sound
(b) indirect sound
(c) virtual sound
(d) harmonics.

Answers

The correct option is B, the sound that reaches the ears after bouncing off a wall or a floor is called indirect sound.

Indirect sound is a type of sound that is not heard directly by the listener. Instead, it is heard through reflections of the original sound off of nearby surfaces. This sound is more muffled, as the reflections tend to lose some of the original sound's energy as it is reflected from wall to wall. Indirect sound is often used in recording studios and concert halls, as it can create a more natural or realistic sounding environment.

This is due to the fact that in real life, the sound is rarely heard directly by the listener, but rather bounces off of nearby surfaces. By using indirect sound, a more natural sound can be created for the listener. Indirect sound is also used in sound reinforcement systems, as it can help distribute sound more evenly throughout a space. This can help to create a more uniform sound.

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In which of the following situations is kinetic energy transformed into chemical energy by way of electrical energy?
A. wind turns the blades of a turbine on a wind generator, producing electricity that can be stored in a battery.
B. wood is burned in a steam engine to drive an electrical generator that in turn provides energy for a motor.
C. charge separation caused by motion and friction among clouds produces lightning, which strikes a tree, setting it on fire.
D. the electric current from a battery is used to separate water molecules into their elemental oxygen and hydrogen components.

Answers

The situations is kinetic energy transformed into chemical energy by way of electrical energy is- wind turns the blades of a turbine on a wind generator, producing electricity that can be stored in a battery.

Hence, option A  is correct.

Wind turbines convert wind's mechanical energy into electrical energy. In this scenario, a turbine uses the kinetic energy of moving air to create a rotating motion. Wind causes a wind turbine's blades to move or rotate as it blows past them. An engine is powered by these blades.An object's kinetic energy is the energy it has as a result of motion. Applying force is necessary if we wish to accelerate an object. After the job is finished, the object will be travelling at a new, constant speed because energy has been transferred to it

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Think of another topic in science that would lend itself to creating a word web. What is the main topic and list six subtopics you would include under it. You could use a whole subject area like chemistry or the desert. Pick a topic you know something about. Help me with this please

Answers

The study of computers and computing, encompassing the theoretical and algorithmic underpinnings, hardware and software, and applications for information processing, is known as computer science.

Uses and advantages:

The study of algorithms and data structures, computer and network design, the modelling of data and information processes, and artificial intelligence are all included in the field of computer science. Since mathematics and engineering provide some of the underpinnings for computer science, it integrates concepts from those fields as well as queueing theory, probability and statistics, and electrical circuit design. As new algorithms, information structures, and computer architectures are conceptualised, designed, measured, and improved in computer science, extensive use of hypothesis testing and experimentation is also used.

Computer science is regarded as one of five distinct but related fields, including computer engineering, information systems,  information technology, and software engineering. This family has come to be known collectively as the discipline of computing.

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It has been suggested that rotating cylinders about 10 mi long and 5.0 mi in diameter be placed in space and used as colonies. What

Answers

The proposed size of 10 miles long and 5 miles in diameter for such a colony is quite large and would require significant technological advancements in terms of materials, and construction to be feasible.

What causes lift from a rotating cylinder?

In general, a spinning cylinder produces lift when its top and bottom are subjected to higher pressure and quicker velocities, respectively. The lifting force, it was said, is pointed perpendicular to the cylinder velocity.

How do you calculate angular speed using radius and linear velocity?

If r is an object's radius, v is its linear speed and is its angular velocity in radians per unit of time, then v = r. This formula connects these three values so that we can always determine the third if we know the first two.

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A 14 N force to the right keeps a 72 N normal force mass at constant
velocity on a horizontal surface. What is the coefficient of kinetic friction
between the surface and the mass?

Answers

The coefficient of kinetic friction between the surface and the mass is  0.1944.

What is kinetic friction?

A force that acts between moving surfaces is referred to as kinetic friction. A force acting in opposition to the direction of a moving body on the surface is felt. The two materials' coefficient of kinetic friction will determine how much force is applied.

The ratio of the normal force to the kinetic friction force generated by contacting surfaces is known as the coefficient of kinetic friction.

Hence, The coefficient of kinetic friction between the surface and the mass is = 14 N/72 N

= 0.1944

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A student heats 3.55 g of copper and 4.60 g of iodine for 6.25 g of a new compound. All of the iodine reacted, but there is some copper left over unused. How much copper is left?

Answers

The mass of copper that is left unreacted at the end of the chemical reaction is 1.90 g

What mass of copper is left unreacted at the end of the reaction?

The mass of copper that is left untreated at the end of the chemical reaction is determined as follows:

Mass of copper before the reaction = 3.55 g

Mass of iodine before the reaction = 4.60 g

Mass of product = 6.25 g

According to the law of conservation of mass;

Mass of reactant = mass of product + mass of unreacted copper

Mass of reactants = 3.55 + 4.60

Mass of reactants = 8.15 g

The difference in the mass of the product obtained and the mass of the unreacted copper

Mass of unreacted copper = 8.15 g - 6.25 g

Mass of unreacted copper = 1.90 g

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the electrical potential due to a dipole on its axis at a point p at a large distance x from the dipole is given by v

Answers

The electrical potential due to a dipole at a point P on its axis at a large distance x from the dipole is given by the formula: V = (p * x) / (4 * pi * epsilon_0 * x^2)

Where:

p is the dipole moment, a vector quantity that represents the magnitude and direction of the dipole. It is defined as the product of the magnitude of one of the charges (q) and the distance between the charges (d), p = q*d.x is the distance from the dipole to point P, it is a scalar quantity.epsilon_0 is the electric constant or vacuum permittivity, it is a scalar quantity that relates the electric flux density to the electric field strength. Its value is approximately 8.85 x 10^-12 C^2/Nm^2.The equation assumes that point P is located on the axis of the dipole (the line connecting the two charges) and that the distance x is much larger than the size of the dipole. This means that the dipole can be considered as a point source of electric potential and the field at point P is well approximated by the field of a point charge.It's important to note that the formula gives the potential at point P due to the dipole, however, the dipole itself also has an electric field which can be found by taking the gradient of the potential.

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In an 11v11 adult game, I see a defender challenge for the ball. The defender misses the ball and with their momentum they accidentally but careelessly trip the opponent. The ball rolls over the touchline. What is the restart

Answers

For the Direct free kick, the game restarted.

What does a soccer direct free kick entail?

There are two different kinds of free kicks used in soccer: direct and indirect.The term "direct free kick" refers to a kick that can be used as a direct strike.Indirect free kicks require a second touch before the ball can be used as a shot at goal.

A direct penalty kick is what?

If a player attacks an opponent in a way that the referee deems to be irresponsible, reckless, or employing excessive force, the referee will award a direct free kick.jumps, kicks, or makes an attempt to kick.

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The direction of the velocity of the planet is _______________________ (alwaysThe direction of the velocity of the planet is _______________________ (always, seldom, never) perpendicular to the net force acting upon the planet., seldom, never) perpendicular to the net force acting upon the planet.

Answers

According to the satellites' orbits and the speed at which they move, it either happens frequently or always.

As we begin to examine satellite orbits, we find that a circular orbit places the satellite always perpendicular to the object's net force and speed.

The orbit is stretched, just like in elliptical orbits. This informs us that the orbit has four points. As a result, the satellite rarely faces the satellite's net force in a perpendicular direction.

Rarely and always for elliptical orbits. According to the satellites' orbits and the speed at which they move, it either happens frequently or always.

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Is the torque the product of force and lever arm?

Answers

Lever arm length and force applied perpendicular to a lever arm are multiplied to create torque. A scalar quantity called torque has two possible directions: clockwise and counterclockwise.

What is the force times the lever arm's product?

A force applied perpendicular to a lever arm produces a torque, which is the result. The distance that runs perpendicularly from the pivot point, or the center of rotation, to the location where the force is delivered, is known as the lever arm or moment arm. A pivot point is always used to define a torque.

How do you multiply torque?

Each gearing stage of a torque multiplier amplifies the torque applied to the bolt. For instance, a torque multiplier with a 5:1 ratio will produce an output at the shaft that is five times the torque, but because no energy can be produced, the speed will only be one fifth of the original.

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By using moving _____magnetic fields_________ and _________________ wire together, electric ___________________ create electricity. Electric generators essentially convert _____________________energy (the energy of motion) into _____________ energy.

Answers

The words with a blank are , magnet, coiled copper, motor, mechanical and electrical. Electric generators produce electricity by combining a moving shaft with coiled wire.

How do magnetic fields work?

The magnetic field is the region where the strength of magnetism acts on a magnetic substance or a flowing electric charge. a magnetic field diagram that shows how the magnetic force is distributed both inside and outside of a magnetic substance.

Kinetic energy: What is it?

When an object is moving, it has kinetic energy. If we intend to accelerate an object, we must exert a force. The task has been finished, energy has been applied to the object, and it is now moving at a fixed constant pace.

Therefore, electric generators generate electricity by combining coiled wire and moving shaft magnetic fields. Kinetic energy, or the energy of motion, is effectively transformed into electrical energy via electric generators.

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Define the following
a. Friction:
b.Sliding friction:
c.Static friction
d.Rolling friction
e.Air resistance
f. Terminal velocity
g.Gravity
h.Weight
i. Centripetal force:
j.Momentum

Answers

These are just personal definitions of the following. They aren't official ones that may come from your textbook, but they are still accurate.

a. Friction is a force that acts against forces in contact with an object.

b. Sliding Friction is a force that acts against the forces making an object slide (e.g. the y component of the object's weight force if it's on an incline)

c. Static Friction is a force that acts on an object that is still/not moving.

d. Rolling Friction is the force making an object roll.

e. Air resistance is a frictional force that acts to slow down a falling object.

f. Terminal velocity is the maximum an object can reach while in free fall due to air resistance.

g. Gravity is a mutual attractive force in between two objects.

h. Weight is the mass of an object multiplied by the gravitational force (usually 9.81 for objects on earth). Weight is a force acting against the normal force keeping objects from phasing through each other.

i. Centripetal force is a force that acts on an object that is turning. This force pulls the object to the outside of the turning track.

j. Momentum is defined by mv (mass times velocity). Momentum is not a force, it is the idea that the motion of an object can depend on its mass and velocity.

I would check official dictionaries, just to make sure these definitions align with your textbook's.

A block of substance has a width of 4.9 cm, a length of 5.1 cm, and height of 1.9 cm . Its mass is 0.54 kg. Calculate the density of the substance.

Answers

The  4.7 g/cm3 is  the density of the substance.

What is density ?

How tightly something is packed can be used to gauge a material's density. Formally, it is defined as the mass per unit of volume. Formula for Density or Density Symbol: D D = m/V, where m is mass and V is volume, stands for density.

What is mass ?

The most basic characteristic of matter, it is one of the fundamental quantities in physics. As a way to gauge how much matter is there in a body, we might use the term mass. Kilograms are the SI unit of mass (kg).

density = mass of sample/ volume of sample

mass = 1.5 kg = 1500 g

volume = W*L*H

Vol = 3.2*17.1*5.8 cm3 = 317.376 cm3

Now,

D = mass/V = 1500/317.376

D = 4.726255 g/cm3

=4.7 g/cm3

Therefore, 4.7 g/cm3 is  the density of the substance.

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Which of these situations describe the motion shown in the motion diagram at point a?
consider the following situations:
a car is moving along a straight road at a constant speed.
a car is moving along a straight road while slowing down.
a car is moving along a straight road while speeding up.
a hockey puck slides along a horizontal icy (frictionless) surface.
a hockey puck slides along a rough concrete surface.
a cockroach is speeding up from rest.
a rock is thrown horizontally; air resistance is negligible.
a rock is thrown horizontally; air resistance is substantial.
a rock is dropped vertically; air resistance is negligible.
a rock is dropped vertically; air resistance is substantial.

Answers

The right response is a hockey puck slides along a horizontal icy frictionless surface and as a car is going along a straight road at a constant pace, according to the motion diagram.

The car is shown in the diagram starting at point a. The arrows remain pointing in the same way. This indicates that the thing is travelling directly forward. The arrows stay stationary at A. This indicates that the thing is travelling continuously.

The speed of the puck is not impacted by friction while it is moving on an ice rink surface. So, it is reasonable to suppose that it is moving at a constant speed before to impact.

The work done is zero only if there is no non-conservative force, such as friction, because the kinetic energy does not vary and the car is going along a straight, horizontal road. The work done will be force into displacement if there is friction.

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What is the position of the particle at time t 0?

Answers

The position of the particle is zero because the velocity is zero for the particle. The velocity of the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.

Velocity is the rate of change of velocity. At any point on a trajectory, the magnitude of the velocity is given by the rate of change of velocity in both magnitude and direction. Velocity of the body that we can consider is the increasing value of the velocity of any object at a constant rate and that of we can calculate. Hence by the primary information that we have we can formerly consider that the velocity which is acting on the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point and the position of the particle is zero because the velocity is zero for the particle.

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What causes the tectonic plates to move?

Answers

Answer:

The heat from the radioactive processes within the planets inferior causes the plates to move sometimes away from each other. This movement is called the tectonic shift

Expression for kinetic energy is __________ while that of potential energy is __________

Answers

hope this helps!!!

KE= 1/2mV^2 PE=mgh

suggest how the thermal conductivity of a metal depends on its temperature​

Answers

Answer:

With an increase in temperature, the electrical conductivity of a pure metal decreases. This implies that the thermal conductivity of the pure metal shows little variance with an increase in temperature. However, a sharp decrease is observed when temperatures approach 0K

Air conditioners not only cool air, but dry it as well. Suppose that a room in a home measures 5. 0m×9. 0m×2. 4m.


If the outdoor temperature is 30 ∘C and the vapor pressure of water in the air is 85 % of the vapor pressure of water at this temperature, what mass of water must be removed from the air each time the volume of air in the room is cycled through the air conditioner? The vapor pressure for water at 30 ∘C is 31. 8 torr

Answers

The volume of air in the room. The volume of the room is given by the product of its length, width, and height=  18.015 g/mol.

Calculation-

Volume of air = 5.0 m × 9.0 m × 2.4 m = 108 m^3

Next, we need to find the number of moles of water vapor present in the air at 85% of the vapor pressure of water at 30°C.

The vapor pressure for water at 30°C is 31.8 torr. At 85% of this value, the vapor pressure of water in the air is:

Vapor pressure in air = 0.85 x 31.8 torr = 27.03 torr

We can use the Ideal Gas Law, PV = nRT, to find the number of moles of water vapor present in the air.

P = 27.03 torr

V = 108 m^3

R = 8.314 J/mol·K (The universal gas constant)

T = 303 K (Temperature in kelvins)

n = (PV) / (RT)

Find the mass of water that needs to be removed from the air each time the volume of air in the room is cycled through the air conditioner.

mass of water = n * M(H2O)

Where M(H2O) is the molar mass of water which is 18.015 g/mol. It is important to note that this calculation assumes that air behaves as an ideal gas and that the temperature and pressure remain constant throughout the room. In reality, the temperature and pressure may vary throughout the room and the process of removing water vapor from the air can also affect the temperature and pressure.

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