If 400g of ice at -2°C i placed in 1 kg of water at 21°C what i the end product when equilibrium i reached?

Answers

Answer 1

The end product when equilibrium is reached is a mixture of water and ice at a temperature of 0°C.

Since the temperature of the water is higher than the temperature of the ice, the ice starts to melt and the temperature of the mixture decreases until it reaches the freezing point of 0°C.

The amount of water in the mixture increases due to the melting of the ice while the amount of ice decreases until all of the ice has melted and there is 1.4 kg of water in the mixture.

The heat energy that was released when the ice melted is absorbed by the water, raising its temperature to 0°C and causing it to reach equilibrium.

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Related Questions

two blocks are connected by a string of negligible mass that passes over massless pulleys

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If two blocks are connected by a string of negligible mass that passes over massless pulleys, the system can be analyzed using the principles of Newton's second law and the conservation of energy.

In this scenario, the net force acting on each block is the tension in the string, which is equal in magnitude for both blocks.

Therefore, if the blocks have different masses, they will have different accelerations.

In this scenario, the mechanical energy of the system is the sum of the gravitational potential energy and the kinetic energy of the blocks. If the pulleys are massless and frictionless, then the mechanical energy of the system will be conserved.

In summary, the two blocks will move together with the same acceleration if the pulleys are massless and frictionless.

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In about 6 billion years, the Sun will become a red giant. This will not be a problem for humanity because

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The sun will become a red giant but it will not be a problem for humanity because the Earth will become inhabitable before that.

As per the research conducted it is said that the sun will eventually become a red giant and it engulf our planet Earth. The Earth will become extremely giant. This in turn will not become a problem for humanity, flora and fauna as the Earth will be completely inhabitable. All the forms of life will completely perish and no life form will exist. The planet will be engulfed by the red giant Sun. This is the reason it is not a problem for humanity.

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Write a decomposition chemical reaction caused by light.​

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A decomposition chemical reaction caused by light is the decomposition of hydrogen peroxide.

It is represented by the following equation:

[tex]2 H_{2} O_{2}(aq)[/tex]  →  [tex]2 H_{2}O(l)[/tex] [tex]+ O_{2} (g)[/tex]

The decomposition of hydrogen peroxide is a chemical reaction in which hydrogen peroxide is broken down into its component parts: water and oxygen gas.

This reaction is typically caused by the absorption of light energy, which causes the chemical bonds within the hydrogen peroxide molecule to break.

This reaction is often used as a demonstration of the principles of light-induced decomposition reactions, as it is relatively simple and easy to observe.

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What 3 things can change a gene pool?

Answers

Natural selection, genetic drift, and gene flow are some of the mechanisms that cause changes in allele frequencies over time.

How it affects:

Over time, a population's gene pool might change due to evolution. This can be brought on by a variety of mechanisms, including mutations, natural selection, and genetic drift. As a result, the gene pool of the population is altered to better meet the needs of its particular environment.

The four main driving forces of evolution are mutation, natural selection, genetic drift, gene flow, and gene flow. New genetic variety is created by mutation in a gene pool. Genetic drift and gene flow alter the allele frequencies in a gene pool.

A population's gene pool can slowly change over time to produce new types of individuals, a process known as microevolution. Microevolutionary processes include changes in a species' size or color as well as bacteria that are no longer hurt by drugs.

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10) An ice cube of mass 0.046 kg and temperature -14 C is heated until it is now fully melted and at a temperature of 11C now. What percentage of the total energy was used to melt the ice

Answers

90.23 % percentage of the total energy was used to melt the ice.

Define Energy?

Energy is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light. Energy is a conserved quantity—the law of conservation of energy states that energy can be converted in form, but not created or destroyed.

Calculation -:

Total energy used from -[tex]14^{o}[/tex]C  to [tex]11^{o}[/tex]C

= [tex]m_{i}c_{i} T_{i}[/tex] + [tex]m_{i} L_{f}[/tex] +[tex]m_{w} c_{w}[/tex]Δ[tex]T_{2}[/tex]

= (0.013×2200×8) + (0.031×334000) + (0.013×486×11)

= 400.4 + 4342 + 69.498

= 4811.898 J

% energy used to melt = 4342/4811.898 × 100

= 90.23 %

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Where does counter-current flow happen?

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When the filtrate moves through the two arms of the Henle's loop in directions that are diametrically opposed, countercurrent occurs.

For the medullary interstitial fluid to remain at a high osmolarity, Henle's loop's ascending limb is essential. These two limbs' close companion, the vasa recta, similarly has two opposing orientations of function. The hand can be significantly cooled without losing body heat because the deep veins are wrapped around the arteries, and the counter-current flow that results from this short-circuits the loss of body heat.

Over the course of their full interaction, the counter-current exchange system may keep the gradient between the two flows practically constant. This can result in practically all of the property transferring if the length and flow rate are both sufficient.

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If the work done to move a toy car by a force of 20N is 60J how far did the car move?​

Answers

Answer: Distance = 60 J / 20 N = 3 meters. So the car moved a distance of 3 meters.

Explanation: To determine how far the car moved, you need to know how long the force was applied. The equation for work is work = force * distance, so if you know the force and the work, you can solve for the distance. In this case, you know that the force applied was 20 N and the work done was 60 J, so you can calculate the distance by rearranging the equation to solve for distance: distance = work/force. Plugging in the values, you get distance = 60 J / 20 N = 3 meters. So the car moved a distance of 3 meters.

Important Formulas:

[tex]w=Fd[/tex]

work(measured in joules) = force(measured in newtons) * distance(measured in meters)

__________________________________________________________

Given:

[tex]w=60J[/tex]

[tex]F=20N[/tex]

[tex]d=?[/tex]

__________________________________________________________

Rearranging formula to make distance the subject:

[tex]w=Fd[/tex]

[tex]\dfrac{w}{F} =\dfrac{Fd}{F}[/tex]

[tex]d=\dfrac{w}{F}[/tex]

__________________________________________________________

Finding distance:
[tex]d=\dfrac{w}{F}[/tex]

[tex]d=\dfrac{60}{20}[/tex]

__________________________________________________________

[tex]\fbox{d = 3 meters}[/tex]

if the bat and softball are in contact for 0.80m/s, what is the average force that the bat exerts on the ball

Answers

The changes in the momentum of the ball and the time over which that change occurs. The formula for average force is: average force = change in momentum/time.

Calculation-

Given: The ball's mass is 0.144 kilogram.

speed v = 38 m/s, shift in momentum presently

P = m v- ( - mv) ( - mv)= 2 mv

=2 x (0.144) x (38) (38)

= 10.944 kg-m/s

t Impulse J=F.

The impulse is equivalent to the change in momentum.

J = 10.944 kg-m/s

What forces are at play when a baseball bat strikes a fastball?

Think about how a baseball bat and a ball interact, for instance. The bat forces the ball to the right while the baseball forces the bat to the left. The action-reaction force pair is made up of these two forces acting on two different objects combined.

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Pitch a baseball horizontally at 38.0 m/s weighing 0.144 kg. The baseball moves in the opposite direction and at the same speed after being struck by the bat. What is the ball's change in momentum? What kind of impetus does the bat deliver? What was the average force the bat applied to the ball during the 0.80 milliseconds that they were in contact?

if Jada has 25 dimes how many quarters dose she have

Answers

If Jada has 25 dimes, she has 10 quarters .

What are dime and quarter?

Dime is a coin from the United States or Canada which has value of ten cents.

And. quarter is a coin from the United States or Canada which has value of twenty five cents.

Jada has 25 dimes .

Now, we know that 1 dime is equals to 10 cents.

Hence, Jada has = 25 × 10 cents = 250 cents.

Again we know that 1 quarter is worth 25 cents.

So, Jada has = (250 ÷ 25) quarters

= 10 quarters.

Hence, she has 10 quarters.

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prepare a list of various sources of energy that are used at your home .classify them into renewable and non renewable source of energy

Answers

The two energy sources that are used in homes the most are electricity and natural gas. Natural gas is a non-renewable energy source, whereas electricity that is generated from unconventional sources is.

What are some examples of renewable and non-renewable energy sources?

Sunlight, water, wind, and geothermal sources like hot springs and fumaroles are examples of renewable resources. Petroleum and coal are examples of fossil fuels that are non-renewable resources. The majority of renewable resources have small carbon footprints and low carbon emissions.

What are the top 5 energy-saving features for homes?

A well-built and securely sealed thermal envelope, controlled ventilation, appropriately sized, high-efficiency heating and cooling systems, and energy-efficient doors, windows, and appliances are the essential components of the majority of energy-efficient homes, despite construction costs, options, and styles being different.

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why does increasing axon diameter increase conduction velocity conduction resistance capacitance

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The increasing axon diameter increase the conduction velocity conduction in resistance capacitance because of the possibility of smooth movement of electrons in the capacitor and the smooth flow of charges in it that supports the electric current to flow in a smooth manner.

Capacitor is a body which is used to store the electricity in it and we can use it in the time when we need it in the circuit. also we can use the capacitor in the jumping the charge and electricity from the spark gap in the circuit to attain a good height and velocity as we needed it. by this information we can primarily consider that the increasing axon diameter increase the conduction velocity conduction in resistance capacitance because of the possibility of smooth movement of electrons in the capacitor and the smooth flow of charges in it that supports the electric current to flow in a smooth manner.

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Rob is studying for an exam. He listed some properties of magnets in a Maglev train.


A 2-column table with 2 rows. The first column labeled Magnet has entries Guidance, Guideway. The second column labeled Properties has entries the current in an electromagnet changes rapidly, which pushes the train forward, a pole faces the like pole of the support magnet and repels the support magnet, which increases friction.


Which best explains Rob’s error?


The current in the electromagnet of the guidance magnet does not change.

The types of magnets are listed incorrectly in the table and should be switched.

The unlike poles of the guideway and support magnets face each other.

The repelling of the support magnet decreases friction.

Answers

In the table's Properties column, notably in the entry for the Guidance magnet, Rob made a mistake.

Which best demonstrates Rob's inaccuracy that causes the friction?

It is untrue to say that a quickly changing electromagnet's current propels a train forward. To create a levitation force that lifts the train off the tracks and enables it to float, the guidance magnets in a Maglev train really work by repelling the guiding magnets on the vehicle from the guideway.

In order to maintain the train's levitation and stability, the polarity of its steering magnets must change quickly rather than the current.

Superconducting magnets, which don't suffer any major energy losses when repelling another magnet, are frequently used in Maglev trains. Instead, a repelling force produced by the magnets lifts the train off the rails and enables it to float.

The mistake is that the guidance magnets should push the train ahead and increase friction, not by repelling the magnets on the train from the guideway and creating a levitation force.

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A 2.0 kg object is tied to the end of a cord and whirled in a horizontal circle of radius 4.0 m at 3.0 Hz. Determine: a) the velocity of the object. b) the acceleration of the object. c) the pull of the object. d) what happens if the cord breaks.

Answers

The rate at which an object's position changes when observed from a specific point of view and when measured against a specific unit of time is known as its velocity.

How do you find a velocity of an object?

Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time (for example, 60 km/h northbound).

By dividing the amount of time it took the object to go a certain distance by the overall distance, one can calculate the object's initial velocity. V is the velocity, d is the distance, and t is the time in the equation V = d/t.

An object's velocity can alter depending on whether it moves faster or slower or in a different direction. An object can move faster, slower, or remain stationary by being pushed or pulled in one direction or the other. Or to put it another way, a thing moves because of a force. Gravity and friction both act as sorts of forces that affect how an object moves.

Therefore, the correct answers are:

a) 75 m/s

b) 1.4 x 103m/s2

c) 2.8 x 103N

d) 75 m/s tangential object flight.

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What happens to a material when energy is transferred to it?

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When labor is done, energy is transferred from the agent to the object, resulting in a change in the motion of the object (more specifically, a change in the object's kinetic energy).

Energy cannot be generated or destroyed, but it may be moved from one form to another. Energy may be altered in a variety of ways, such as when potential energy becomes kinetic energy or when one thing moves another.

Thermal energy is related to a system's internal energy because of its temperature. When a substance is heated, its temperature rises because its molecules begin to move faster, gaining thermal energy through heat transfer. Conduction, convection, and radiation are the three methods through which thermal energy is transferred.

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how many electrons are on the move in a circuit where a current of 2.0 A flows for 2.0 minutes?

Answers

The number of electrons that move in a circuit where a current of 2.0 A flows for 2.0 minutes will be [tex]1.5X10^2^2[/tex]. The correct option is C.

What is current?

Electrical charge carriers, often electrons or atoms deficient in electrons, travel as current. The capital letter I is a typical way to represent current.

A current of 2A passes through a wire for 20 minutes. The number of electrons that crossed the cross-section in this period is

Given that,

Current =2A

Time t= 20min = 20×60s

Let,

n and e be the number and charge of electrons in time t.

So,

The total charge, q(say) in the wire is

q = ne

Hence, the current flowing in time t is

I = q/t

I = ne/t

n = It/e

[tex]n=\frac{2(20X60)}{1.6X10^{-19}} \\\\n=\frac{2400}{1.6X10^{-19}}\\\\n=1.5X10^{22}[/tex]

Thus, the answer is [tex]1.5X10^2^2[/tex], means the correct option is C.

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Your question seems incomplete, the missing options are:

[tex]1.5X10^{21}\\\\1.5X10^{20}\\\\1.5X10^{22}\\\\1.5X10^{21}\\\\1.5X10^{23}[/tex]

If you are going the same speed, the greater the vehicle _______ the greater the force of impact. florida

Answers

If you are going the same speed, the greater the vehicle, the greater the force of impact on the reacting body and greater the inertia of it and greater is its velocity.

Velocity of any body is the speed by which it is travelling along with the direction it has given. velocity is a vector quantity because it has both magnitude and direction. velocity has both magnitude and direction so it different from speed but its magnitude is same as that of speed and we can calculate both as their magnitude are equal. velocity is the measure of the speed of the moving body by which it is moving in the place from one place to another. velocity and speed are the same but they are different in the essence in the form of their type. speed is scalar and velocity is vector. by this primary information we can consider that primarily that if you are going the same speed, the greater the vehicle, the greater the force of impact on the reacting body and greater the inertia of it and greater is its velocity.

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A vacuum tube diode consists of concentric cylindrical electrodes, the negative cathode and the positive anode. Because of the accumulation of charge near the cathode, the electric potential between the electrodes is not a linear function of the position, even with planar geometry, but is given by V(x) = Cx4/3 where x is the distance from the cathode and C is a constant, characteristic of a particular diode and operating conditions. Assume that the distance between the cathode and anode is 13. 6 mm and the potential difference between electrodes is 264 V.


(a) Determine the value of C. C = V/m4/3

(b) Obtain a formula for the electric field between the electrodes as a function of x. (Use your result from part(a). Use the following as necessary: x. ) Ex =_________.

(c) Determine the force on an electron when the electron is halfway between the electrodes. F = N

Answers

To determine the value of C, we can use the equation provided: V(x) = Cx^4/3, where x is the distance from the cathode. V(x) = C(13.6 mm)^4/3 = 264V. So, C = 264V / (13.6mm)^4/3

How do you obtain a formula for the electric field between the electrodes as a function of x?

To obtain a formula for the electric field between the electrodes as a function of x, we can use the equation: Ex = -dV/dx

Substituting the equation for V(x) and the value of C obtained in part (a) into the equation:

Ex = -dV/dx = -(d/dx)(Cx^4/3) = -(4/3)Cx^(4/3)

How do you Determine the force on an electron?

To determine the force on an electron when the electron is halfway between the electrodes, we can use the equation: F = qE

where q is the charge of the electron and E is the electric field at that point. Since the force on an electron is equal to the electric field multiplied by the charge of the electron, we can substitute the value of E obtained in part (b) and the charge of the electron, 1.6 x 10^-19 C, into the equation

F = qE = (1.6 x 10^-19 C) * (-(4/3)C

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Body of an earthworm is divided into rings/ metamers. It moves with the help of two muscles: longitudinal and circular muscles. Which of the following activity is done by earthworm during its movement?

(OPTIONs)

→ Swallow the soil it moves

→ Grip the soil firmly at one end

→ Make the soil moist and slippery

→ Break the soil into smaller particles

Answers

Swallow the soil it moves and Break the soil into smaller particles.

What is movement in earthworm?

They don't have bones or other fixed features that might restrict their movement. The body of an earthworm is segmented. Earthworms use the setae, or tiny bristles, that are present on each segment, to assist them hold the dirt as they travel.

An earthworm uses two distinct sets of muscles to move. Longitudinal muscles run the length of the body, while circular muscles loop around each segment. The earthworm extends as a result of the circular muscles contracting, growing longer and thinner.

The earthworm embeds the front of its body in the dirt using its setae. The earthworm now contracts its longitudinal muscles, either making it shorter and wider.

Therefore, Swallow the soil it moves and Break the soil into smaller particles.

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A student wants to investigate the motion of a ball by conducting two different experiments, as shown in Figure 1 and Figure 2 above. In Experiment 1, the student releases a ball from rest and uses a slow-motion camera to film the ball as it falls to the ground. Using video analysis, the student is able to plot the ball’s horizontal position x and vertical position y as a function of time t. In Experiment 2, the student horizontally rolls the same ball off a table, and uses video analysis to plot the ball’s horizontal position x and vertical position y as a function of time t starting from the instant the ball leaves the table. The graphs from each experiment are shown above along with each graph’s best-fit curve line.


Question:

Suppose that Experiment 1 and Experiment 2 are conducted at the same time; one student drops the ball from rest at the same instant that a second student horizontally rolls an identical off the table. After both balls have traveled half their vertical distance to the floor, what is the acceleration of the center of mass of the two-ball system relative to Earth?


A) Equal to g


B) Less than g, but not zero


C) Less than g , but not zero


D) Zero

Answers

The acceleration of the center of mass of the two-ball system relative to Earth is equal to g after the balls have travelled for half their vertical distance to the ground, option A.

What is the center of mass of any object?

The total force acting on the system is equal to the acceleration of the center of mass multiplied by the total mass of the system. When applied to an extended object, Newton's second law, F = ma, predicts the motion of a specific reference point for this object. The center of mass is the name given to this reference point.

When we throw an object upward, gravity acts on it, and the acceleration it experiences is the inverse of the acceleration caused by gravity, i.e. deceleration. As a result, the acceleration of each ball will be g. As a result, the acceleration of the center of mass of the two balls thrown upward is g.

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Now let's think about a balloon. We know the gas particles inside of the balloon are bumping against the sides. What keeps those gas particles from forcing the balloon to expand

Answers

The elasticity of the balloon's material keeps the 1particles from forcing it to expand. The material stretches as the gas particles bump against the sides, allowing the balloon to expand to a certain point before contracting again.

The elasticity of the balloon's material is an important factor in determining the balloon's shape and size. In general, the more elastic the material is, the more the balloon will be able to stretch and expand. When the material is not elastic enough, it will not be able to stretch and the balloon will remain in its original shape.

The elasticity of the material also affects the amount of air pressure within the balloon. A more elastic material will be able to hold more air pressure, while a less elastic material will not be able to hold as much pressure. This is why balloons with a higher pressure will usually be larger than balloons with a lower pressure.

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An error that occurs consistently in one direction, such as a scale that weighs everyone two pounds more than their true weight, is known as a:

Answers

A systematic error is one that constantly occurs in one direction, for as when a scale consistently overestimates everyone's weight by two pounds.

If an error changes in the same direction throughout time, it is said to be systematic. For instance, if something always or frequently caused the blood pressure to increase right before the measurements were to be taken, this could occur when taking blood pressure.One measurement may slightly differ from the next due to random error. It results from unanticipated changes that occur throughout an experiment. When a reading is taken consistently each time, systematic error always impacts measurements in exactly the same way or to exactly the same degree. It is foreseeable.

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A particle travels at a constant speed of 19.0 m / s in a circular path of radius 954.9 cm. How many turns (revolutions) does the particle make in 1 minute

Answers

The 10/π ms² turns (revolutions) the particle make in 1 minute.

What is revolution ?

Whereas rotation involves travelling around the axis, occurs when one body moves around another. As an illustration, the Moon orbits the Earth, and the Earth revolves around the Sun.

What is particle ?

Paul Dirac and other researchers found that the concept could be applied to electrons and everything else in addition to photons, the unit of light called a quanta: Particles are thought to be excitations of quantum fields that are present throughout space, according to quantum field theory.

When the particle completes half revolution change in velocity

Δv=[5−(−5)]m/s=10m/s

Time taken to complete the half revolution is

t = πr/ v

 = π *5 / 5

 = πs

Thus, average acceleration = Δv / t

                                             = 10/π ms²

Therefore, the 10/π ms² urns (revolutions) does the particle make in 1 minute.

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How are stage and film versions of a drama similar the viewer must infer the mood from the lighting and sound effects?

Answers

Stage and film versions of a drama are similar in that the audience must use context clues such as lighting, sound effects, and dialogue to infer the mood of a scene. This requires the audience to pay attention to the details of the performance, as subtle changes in these elements can drastically change the overall tone of the production.

The main difference between a stage and film version of a drama is that a stage production relies heavily on the physicality of the actors and their interactions with one another, while a film production relies heavily on the technical aspects such as camera angles, lighting, and sound design. Additionally, a stage production is performed live in front of an audience, while a film is created in a studio and viewed later by an audience.

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A twig floating in a small pond is initially at rest. On the twig is a snail, which begins moving along the length of the twig with a speed of 1.2 cm/s. The twig moves in the opposite direction with a speed of
0.40 cm/s. If the snail's mass is 2.5 g, what is the mass of twig?

Answers

The mass of the twig can be calculated using the law of conservation of momentum.

What is law of conservation?

The Law of Conservation states that matter and energy cannot be created or destroyed, only changed from one form to another. This law is one of the most fundamental laws of physics, and it applies to all forms of energy, including heat, light, and electrical energy. This law helps explain why energy is always conserved, meaning that it can never be lost, only transferred or converted into another form. This law is also important in understanding the behavior of matter, as it explains why matter can never be completely destroyed, only rearranged or changed in form.

Momentum is equal to the mass times the velocity, so the total momentum of the twig and the snail before the snail starts moving is zero. After the snail starts moving, the momentum of the twig and the snail is equal to the snail's momentum, which is equal to 2.5 g x 1.2 cm/s = 3.0 g cm/s. Since the velocity of the twig is 0.4 cm/s, the mass of the twig must be equal to 3.0 g cm/s / 0.4 cm/s = 7.5 g.

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Spring constant problem. What is the formula for k in terms of the period T and the mass?
A. K= 4pi^2m/T^2
B. K= 4*pi^2/mT^2
C. K= 2*pi*m/T

Answers

The formula for k in terms of the period T and the mass m in spring constant problem is k = 4π²m/T². The formula applies to a spring-mass system.

What is a spring-mass system?

A spring-mass system is a system where a mass of object is attached at the free end of the spring. The system will perform a simple harmonic motion where the oscillations occur periodically. The period of any moving object in that motion can be counted as follows

T = 2π√(m/k)

Where

T = period (s)m = mass of object (kg) k = spring constant (N/m)

Find the formula for the spring constant k in terms of T and m!

We use the formula above to find k.

T = 2π√(m/k)

√(m/k) = T/2π

m/k = (T/2π)²

m/k = T²/4π²

k = 4π²m/T²

Hence, the formula for the spring constant in the spring-mass system is k = 4π²m/T². The answer is A.

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What is B_{\text {out }}, the z component of the magnetic field outside the solenoid?

Answers

The magnetic field outside the solenoid [tex]B_{\text {out }}[/tex] is zero.

The magnetic field lines are present outside the solenoid, but there are significantly less of them there than there are inside the solenoid. This is known as the flux. As a result, the magnetic field outside is thought to be almost nil. It is more accurate to assume that the magnetic field outside the solenoid is zero if the solenoid is quite long. It is false close to the solenoid's edge. We consider the magnetic field outside the solenoid to be zero for practical purposes. This amount of flux divided by the area outside the solenoids gives the flux density, which is equal to the strength of the field outside the solenoid is zero.

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given vectors ab, dc, and bc, simplify ab − dc + bc.

Answers

AB+CD+BC=AB+BC+CD=AD. It tells us that first traveling from A to B, then B to C, and from C to D is equivalent to directly traveling from           A to D

Vector addition is defined as the geometrical sum of two or more vectors as they do not follow regular laws of algebra.

There are a few conditions for any vector addition, they are:

Scalars and vectors can never be added.For any two vectors to be added, they must be of the same nature.

There are two laws of vector addition, they are:

Triangle law of vector additionParallelogram law of vector addition

Triangle law of vector addition states that when two vectors are represented as two sides of the triangle with the order of magnitude and direction, then the third side of the triangle represents the magnitude and direction of the resultant vector.

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a car weighs 3600 kg is traveling at 21.0 m/s. the driver doesn?t notice a red light and rear-ends another car at rest. both cars stick together and move with a speed of 9.0 m/s. what is the mass of the car that was at rest?

Answers

Answer:

Below

Explanation:

Use law of conservation of momentum

 momentum before crash = momentum of the system after crash

     3600 kg  * 21  m/s    =  (3600+ x ) * 9

        solve for x = 4800 kg

A spinning disk has an initial angular speed of 12.5 rad/s. It is pushed by a kid with a constant angular acceleration of 3.41 rad/s2. a) What will be the angular speed in 5.26 s. What will be the angle turned in 5.26 s

Answers

The angle turned in 5.26 s is 6470 degrees. An initial angular speed of 12.5 rad/s and a constant angular acceleration of 3.41 rad/s2 are the characteristics of a pulley.

Does acceleration affect angular velocity?

The angular acceleration provides the rate of change of angular velocity, just like in the case of linear velocity and acceleration: The rate at which the angular velocity varies is determined by the angular acceleration's magnitude, and the change's direction is determined by the direction.

What is the formula for angular acceleration?

The rate at which angular velocity changes is referred to as angular acceleration. In an equation, angular acceleration is written as follows: = t, where t is the change in time and is the change in angular velocity.

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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

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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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