two air-track carts move toward one another on an air track. cart 1 has a mass of 0.25 kgkg and a speed of 0.99 m/sm/s. cart 2 has a mass of 0.63 kgkg.

Answers

Answer 1

The total momentum of the system to be zero, Cart 2 must have a speed of approximately 0.396 m/s in the opposite direction.

To find the speed at which Cart 2 must move for the total momentum of the system to be zero, we can use the principle of conservation of momentum. According to this principle, the total momentum before the collision should be equal to the total momentum after the collision.

Let's denote the initial velocity of Cart 1 as v1 = 0.99 m/s (given), the mass of Cart 1 as m1 = 0.25 kg (given), and the mass of Cart 2 as m2 = 0.63 kg (given). The initial velocity of Cart 2 is unknown, so we'll denote it as v2.

Since the carts move towards each other, their velocities have opposite directions. Therefore, the velocity of Cart 2, v2, should be negative.

The total initial momentum of the system is given by:

Initial momentum = (mass of Cart 1 * velocity of Cart 1) + (mass of Cart 2 * velocity of Cart 2)

P_initial = (m1 * v1) + (m2 * v2)

For the total momentum to be zero, the equation becomes:

0 = (m1 * v1) + (m2 * v2)

Now we can substitute the given values for mass and velocity to solve for v2:

0 = (0.25 kg * 0.99 m/s) + (0.63 kg * v2)

Solving for v2, we have:

0.25 kg * 0.99 m/s = 0.63 kg * v2

v2 ≈ (0.25 kg * 0.99 m/s) / 0.63 kg

v2 ≈ 0.396 m/s

Therefore, for the total momentum of the system to be zero, Cart 2 must have a speed of approximately 0.396 m/s in the opposite direction.

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Related Questions

Write about natural indicators. ​

Answers

Natural Indicator is a type of indicator that can be found naturally and can determine whether the substance is an acidic substance or a basic substance. Some examples of natural indicators are red cabbage, turmeric, grape juice, turnip skin, curry powder, cherries, beetroots, onion, tomato, and etc.

Hope this answers ur questions

How did life evolve from nonliving matter?

Answers

Answer: it  is proposes that in Earth's prebiotic history, simple organic matter was exposed to energy in the form of volcanoes and electrical storms

Explanation:

Please help in this quickly, thankss!


Question: a cell can make a buzzer buzz


a) explain why the buzzer starts to buzz as soon as the circuit is complete


b) what energy changes are happening in this circuit




please answer BOTH of them

Answers

1-you know when a circuit is complete / closed the buzzer will go on or the bulb glows. But when the circuit is incomplete/ open then the buzzer will be on or the bulb won't glow


2-That electric potential energy changes to regular electric energy as the electrons move around the circuit. Then, that electric energy is transferred to the components in the circuit. If the circuit contains a bulb, it comes out as light energy and wasted heat energy

if the power of sound at the source outlet is 100 w, what is its intensity at 4 m away from the source?

Answers

The intensity of sound is inversely proportional to the square of the distance from the source. The intensity of sound at 4 m away from the source is approximately \(0.993W/m^{2}\) (watts per square meter).

The intensity of sound is defined as the power per unit area. According to the inverse square law for sound propagation, the intensity of sound is inversely proportional to the square of the distance from the source. Mathematically, it can be expressed as

\(I=P/(4\pi r^{2})\)

where I is the intensity, P is the power, and r is the distance from the source.

Given that the power of sound at the source outlet is 100 W and the distance from the source is 4 m, we can substitute these values into the formula. Thus, we have

\(I = 100 W / (4\pi (4 m)^2)\)

Simplifying this expression, we find that the intensity of sound at 4 m away from the source is approximately \(0.993W/m^{2}\) (watts per square meter).

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Un proyectil es lanzado con un ángulo de 30⁰ y una velocidad inicial de 20m/s ¿cual es el punto más alto de su trayectoria? ¿cual es su alcanzar horizontal? ¿cuánto tiempo está en el aire¿

Answers

Answer:

Thus, the horizontal range is 17.7 m, and the maximum height is 10.2 m.

Explanation:

velocity of projection, v = 20 m/s

Angle of projection, A = 30 degree

The horizontal range is

\(R =\frac{v^{2}sin2A}{g}\\R=\frac{20\times 20\times sin60}{2\times 9.8}\\R=17.7 m\)

The maximum height is

\(H =\frac{v^{2}sin^{2}A}{2g}\\H=\frac{20\times 20\times sin^{2}30}{9.8}\\H=10.2 m\)

Which types of rocks (igneou, sedimentary, metamorphic) tend to have crystalline textures? How does this texture form?

Answers

Answer:

metamorpic rock

Explanation:

it has a crystallin textures

what is the total entropy change if a .31 efficiency engine takes 36000 j of heat from a 297c reservoir

Answers

The sum of the entropy changes of the system and its surroundings gives the overall entropy change of a system. In this scenario, we have a 0.31-efficiency engine that draws 36,000 J of heat from a 297°C reservoir.

Initially, we must compute the amount of heat rejected by the engine. Because the engine is only 31% efficient,  we have a 0.31-efficiency engine that draws 36,000 J of heat from a 297°C reservoir. the remaining heat (69%) is rejected to the environment: Q out = (1 minus efficiency) * Q in = (1 minus\(0.31) * 36,000 J = 24,840\) J Hence, using the equation: we can compute the engine's entropy change. \(Q in / T hot - Q out / T\) cold = S engine where T hot is the hot reservoir temperature \((297°C = 570 K)\)and T cold is the cold reservoir temperature (ambient temperature,

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HELP!! I'll give brainliest!
Which type of heat transfer causes a person sitting by the fire to feel warm?

absorption
conduction
convection
radiation

Answers

Radiation: Heat moves through space as energy waves. It is the type of heat one feels when sitting in front of a fireplace or around a campfire.

Answer:

Radiation

Explanation:

Heat is made by radiation

A wave has a wavelength of 4 m and a frequency of 85 Hz. What is the speed of this wave?

Answers

The speed of wave with a wavelength of 4 m and a frequency of 85 Hz is 340m/s

The speed of a wave is the product of the frequency of the wave and its wavelength. Mathematically, it is expressed as:

\(v = f \lambda\) where:

f is the frequency

\(\lambda\) is the wavelength

Given the following:

f =85Hz

\(\lambda\) = 4 m

Substitute the given parameter into the formula:

v = 85 × 4

v = 340m/s

Hence the speed of wave with a wavelength of 4 m and a frequency of 85 Hz is 340m/s

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5. (10 pts) The shedding frequency based on the analysis of Question 3 is to be determined through the use of a small-scale model to be tested in a water tunnel. For the specific bridge structure of interestD=20 cmandH=300 cm, and the wind speedVis25 m/s. Assume the air is at MSL ISA conditions. For the model, assume that D m=2 cm. (a) Determine the length of the model Hm needed for geometric scaling. (b) Determine the flow velocity Vm needed for Reynolds number scaling. (c) If the shedding frequency for the model is found to be 27 Hz, what is the corresponding frequency for the full-scale structural component of the bridge? Notes: Refer to the eBook for the properties of air. Assume the density of water rho H2O= 1000 kg/m3 and the dynamic viscosity of water μ H2O=1×10^−3 kg/m/s.

Answers

Length of the model Hm = 12 cm. The flow velocity Vm = 5 m/s. Frekuensi yang sesuai untuk skala penuh komponen struktural jembatan adalah 2,7 Hz.

To determine the length of the model, Hm, for geometric scaling, you must use the relationship Hm/H = Dm/D, where Dm is the model's diameter, D is the full scale structure's diameter, and Hm and H are the model and full-scale heights, respectively. Substituting in the given values, we have Hm/300 cm = 2 cm/20 cm, which can be solved for Hm to find that Hm = 12 cm.

To determine the flow velocity Vm for Reynolds number scaling, you must use the relationship Vm/V = sqrt(rhoH2O/rho)*(D/Dm), where rho is the air density and rhoH2O is the water density. Substituting in the given values, we have Vm/25 m/s = sqrt(1000 kg/m3/1.225 kg/m3)*(20 cm/2 cm). Solving for Vm, we find that Vm = 5 m/s.

To determine the shedding frequency for the full-scale structure of the bridge, we must use the relationship f/fmodel = (Vmodel/V)*(Dmodel/D). Substituting in the given values, we have f/27 Hz = (5 m/s/25 m/s)*(2 cm/20 cm). Solving for f, we find that the corresponding frequency for the full-scale structural component of the bridge is 2.7 Hz.

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The relationship between the equilibrant and the resultant vector is *

the equilibrant is equal in magnitude and in diredction
the equilibrant is equal in magnitude but opposite in direction
the equilibrant is different in magnitude and in direction
the equilibrant is different in magnitude but opposite in direction

Answers

Answer:

the equilibrant is equal in magnitude but opposite in direction.

Explanation:

In vector algebra, a resultant vector is a single vector that have the same effect as the effect of the net or algebraic sum of two or more vectors.

A resultant vector arises from finding the adding multiple vectors together.

When a group of vectors is replaced by a resultant vector, in order to keep the system of vectors at equilibrium, there is another vector which has the same magnitude as the resultant vector but acting in opposite direction to the resultant vector. This vector is called the equilibrant.

In a population of ground beetles, a genetic locus that codes for setae on the elytra has two variants: G is dominant and codes for setae on the elytra, and g is recessive and codes for glabrous elytra (no setae). If the frequency of beetles with glabrous elytra is 0.36, what is the frequency of the G allele, assuming the population is in Hardy-Weinberg equilibrium? Show all your calculations. (5 pts) a. 0.6 b. 0.4 C. 0.64 d. 0.16 e. none of the above

Answers

The frequency of the G allele in the population is 0.4, the correct option is B. 0.4.

The frequency of beetles with glabrous elytra in a population of ground beetles is 0.36. The frequency of the G allele is to be calculated, assuming that the population is in Hardy-Weinberg equilibrium.

What is Hardy-Weinberg equilibrium? The Hardy-Weinberg equilibrium is a model that describes the genetic makeup of a non-evolving population.

This model postulates that the genetic variation in a population remains constant from generation to generation in the absence of disturbing influences such as mutation, migration, or natural selection.

According to the Hardy-Weinberg equilibrium, the frequency of alleles and genotypes remains constant if certain conditions are met.

The Hardy-Weinberg equilibrium is represented by the following equation:p2 + 2pq + q2 = 1 Where:p2 = frequency of homozygous individuals (GG)2pq = frequency of heterozygous individuals (Gg)q2 = frequency of homozygous recessive individuals (gg)p + q = 1Now let's move on to the calculation of the frequency of the G allele.

The frequency of individuals with the gg genotype can be obtained from the following equation:q2 = 0.36q2 = 0.36^(1/2)q = 0.6

The sum of the frequency of all genotypes must be equal to 1, which can be used to calculate the frequency of the G allele:p + q = 1p = 1 - qp = 1 - 0.6p = 0.4The frequency of the G allele in the population is 0.4.Therefore, the correct option is B. 0.4.

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if the truck has four-wheel drive, and the cabinet is wooden, what is it's maximum acceleration (in m/s2)?

Answers

The maximum acceleration will be 4.9 m/s², if the truck has four wheels and the static friction coefficient is 1.

Let the mass of the truck, M

Let the force require to overcome the static friction is F.

Let the acceleration in the forward direction is a.

Coefficient of static friction, μ = 1

4 wheels(2 rear and 2 front wheels) will share the equal force of friction resistance. Force of friction will be equal to the forward force applied by the truck.

That will be F₁/2 = F₂/2 = F

F₁/2 = F₂/2 = μMg/2 = F

μMg/2 = Ma

a = μg/2

a = (1×9.81)/2

a = 4.9 m/s²

--The give question is incomplete, the complete question is:

"The truck has four-wheel drive, and the cabinet is wooden, what is it's maximum acceleration (in m/s2), if the coefficient of static friction is 1?"

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During photosynthesis, ___________ energy is converted into ____________ energy.

Answers

Answer:

Answer is radiant and chemical.

Hope this help:)

Sry if wrong

I will mark brainliest !!

I will mark brainliest !!

Answers

Answer:

i think its b

Explanation:

why matric potential does not meet with pressure
potential

Answers

Matric potential does not meet with pressure potential because they represent different mechanisms affecting water movement in the soil system.

Matric potential and pressure potential are two distinct components of the total water potential in soil. Matric potential is primarily influenced by the forces of adhesion and cohesion between soil particles and water molecules, whereas pressure potential is the result of water being compressed or expanded due to external forces or hydrostatic pressure. The reason why matric potential does not meet with pressure potential is because they represent different mechanisms affecting water movement in the soil system. Matric potential is largely determined by the soil's texture, structure, and the presence of organic matter, which can increase the water-holding capacity and affect the movement of water within the soil matrix. On the other hand, pressure potential is related to gravitational forces and other external pressures acting on the water, causing it to either compress or expand.

Moreover, matric potential is typically a negative value, indicating tension in the soil water as it is held by capillary forces and surface area. Pressure potential, however, can be either positive or negative, depending on whether the water is under compression or expansion. Due to their differing natures, the two potentials do not intersect but work concurrently to determine the overall water potential in the soil. In summary, matric potential and pressure potential do not meet because they describe separate aspects of soil water dynamics, with matric potential primarily driven by forces between soil particles and water molecules, and pressure potential influenced by external forces and hydrostatic pressure.

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ANSWER WITH EXPLANAION GET"S BRAINLEST
what are three ways in which the branches of government must work together in order to be successful
AND
Of the 10 Amendments in the Bill of Rights discussed this week, which one do you believe is most important to our freedom as Americans? Why?

Answers

Explanation:

creating law(representers of citizens by hearing the vote of a citizen) doing the law (different Ministers will form different offices to make the law) courts

Answer:

By the time the Constitutional Convention met in Philadelphia in 1787, it had become clear to many American leaders that a more powerful federal government was necessary in order to effectively deal with the challenges facing the young nation.

Under the Articles of Confederation, the central government had neither the power to raise taxes nor the authority to regulate interstate commerce. Additionally, there was no established mechanism through which states could adjudicate conflicts. Many of the delegates to the Constitutional Convention understood that the Articles of Confederation would need to be supplanted entirely, not merely revised.

To this end, the delegates spent months debating and shaping the scope and contours of a new and more powerful federal government.

The result of the Constitutional Convention was the United States Constitution. The Constitution created a federal government consisting of three separate branches in order to impose checks and balances on the powers of each branch.

The executive branch would be headed by a president, who would be elected.

The legislative branch would be composed of an upper house, the Senate, and a lower house—the House of Representatives. Representation in the House would be based on population—including counting enslaved men and women at the proportion of three to five for the purposes of representation and taxation. Each state would elect two representatives to the Senate.

The judicial branch would consist of a Supreme Court and lower courts to interpret and apply the law.

Not everyone believed the new Constitution was a good idea. A number of individuals who had played important roles in the Revolution, like Samuel Adams and John Hancock, worried that a powerful federal government would inevitably become tyrannical and that the new Constitution would be merely replacing British tyranny with a homegrown variety. They worried that the president would usurp king-like powers and encroach upon the individual rights and freedoms of citizens.

In order for the Constitution to enter into force, it would have to be ratified by at least nine states, but several states threatened to refuse to ratify the document unless it included strong guarantees of individual rights and liberties. To this end, the delegates, led by Virginian James Madison set to work on drafting a list of checks on federal power that would ensure the full exercise of individual liberty.

The Bill of Rights consists of 10 amendments that explicitly guarantee certain rights and protections to US citizens by limiting the power of the federal government.

The First Amendment prevents the government from interfering with the freedoms of speech, peaceable assembly, and exercise of religion.

The Second Amendment declares that properly constituted militias are a safeguard of liberty and that the right to bear arms will be protected.

The Third Amendment restricts the quartering of soldiers in private homes—an extremely contentious issue that had led the colonists to war with Great Britain.

The Fourth Amendment protects citizens against unreasonable searches and seizures of private property.

The Fifth, Sixth, Seventh, and Eighth Amendments establish a variety of guarantees relating to legal proceedings and criminal justice, including the right to a trial by jury; protection against self-incrimination and double jeopardy, being tried twice for the same offense; the right to due process; prohibition of cruel and unusual punishment; and the right to face one’s accuser, obtain legal counsel, and be informed of all criminal charges.

The Ninth Amendment acknowledges that the other eight amendments are not an exhaustive list of all of the rights and protections to which citizens are guaranteed, and the Tenth Amendment declares that any powers not explicitly delegated to the federal government in the Constitution are to be left to the states. This reinforced the principle of federalism, or separation of powers, by ensuring that the federal government could not usurp rights and powers that were not explicitly authorized in the Constitution.

The Bill of Rights has proven to be one of the most influential documents in contemporary history, codifying the theory of natural rights, which holds that humans are granted certain freedoms and liberties by God, and that the state should not have the power to usurp or otherwise infringe upon those rights. This was a major departure from previous theories of individual rights, which were granted to citizens by the state or monarch. The Bill of Rights has influenced countless political leaders around the globe since their authorization into force in the United States.

Explanation:

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What would most likely happen as a result of the generator in a wind turbine breaking? The blades would not be turned. Less steam would be produced. Electricity would not be generated. Solar energy would not be absorbed.

Answers

Answer:

Im guessing that the correct answer would be C.) Electricity would not be generated.

Explanation:

Apologies if im wrong.

Electricity would not be generated if the generator in a wind turbine breaks and is denoted as option C.

What is a Wind turbine?

This is a device which converts the kinetic energy from the wind into electrical energy.

The generator provides the kinetic energy which when broken, electricity generation is hindered.

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c) Name the type of error described in the two cases of measurements below. Case 1: A stopwatch that runs fast or slow. Case 2:​

Answers

The description of the measurement is incomplete, and therefore it is impossible to determine the type of error.

What is Measurement?

Measurement is the process of quantifying or determining the size, amount, or degree of something using standard units or scales. It involves assigning a numerical value to a physical quantity, property, or characteristic of an object, event, or phenomenon.

Measurement is a fundamental tool used in science, engineering, commerce, and everyday life. It allows us to make comparisons, establish standards, and assess the accuracy and precision of our observations and experiments. Some common examples of measurements include length, mass, time, and volume, which are typically expressed in units such as meters, kilograms, seconds, degrees Celsius, and liters, respectively.

The error described in this case is systematic error, also known as a bias. The stopwatch consistently measures time intervals that are either longer or shorter than the actual time.

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A wave travels at 13 m/s and the crests are 6 meters apart. How many waves would you see pass you by per second? (round up to the nearest decimal)
(PLS QUICK)

Answers

Answer:Number of waves =2.2

Explanation:

The frequency of A wave is defined as the number of waves moving  a fixed point per second which is given as

f=\(\frac{N}{t}\)

F= Frequency

N= number of waves

t= time

We first find the frequency

Given velocity of the wave, v = 13m/s

and wavelength, λ as 6meters(distance between two consecutive crest)

, we fiind the frequency using

v= f  λ

frequency = v /  λ

= (13m/s ) / 6

=2.16s-1

f =  \(\frac{N}{t}\)

2.16s₋¹=  \(\frac{N}{1s}\)

Therefore N, Number of waves =  2.16 waves  rounded up to 2.2 waves

given 80 , what is the resistance, represented by the dashed line, which intersects the iv line of the circuit c at the voltage value of 10 ?

Answers

The resistance, represented by the dashed line, which intersects the IV line of circuit C at the voltage value of 10 is 8 ohms.

What is resistance?

Resistance is the opposition to the flow of current in a conductor. The unit of resistance is ohms. The symbol used for resistance is R. The resistance of a wire depends on its thickness, length, and material.

What is voltage?

The voltage is the difference in electric potential between two points in an electric circuit. The unit of voltage is volts. The symbol used for voltage is V. It is also known as potential difference.

How to find resistance?

The formula for calculating resistance is R = V/I, where R is the resistance, V is the voltage, and I is the current. Given the voltage value of 10 and the current of 1.25 A in the graph above, the resistance is calculated as follows:

R = V/IR = 10/1.25R = 8 ohms

Hence, the resistance, represented by the dashed line, which intersects the IV line of circuit C at the voltage value of 10 is 8 ohms.

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A hydraulic lift is used to raise an automobile of mass 1520 kg. The radius of the shaft of the lift is 8.00 cm and that of the piston is 1.00 cm. How much force must be applied to the piston to raise the automobile?

Answers

To raise the automobile with a hydraulic lift, a force of approximately 19,000 N must be applied to the piston.

In a hydraulic lift, the principle of Pascal's law is applied, which states that pressure applied to an enclosed fluid is transmitted undiminished to all portions of the fluid and the walls of its container. By utilizing this principle, a smaller force applied to a smaller piston can generate a larger force on a larger piston.

In this scenario, the force needed to lift the automobile can be calculated using the formula:

\(\frac{F_{1}}{A_{1}} =\frac{F_{2}}{A_{2}}\)

where \(F_{1}\) is the force applied to the piston, \(A_{1}\) is the area of the piston, \(F_{2}\) is the force generated on the larger piston (required to lift the automobile), and \(A_{2}\) is the area of the larger piston.

Given the radius of the shaft (small piston) as 0.08 m and the radius of the piston as 0.01 m, we can calculate the forces applied and generated as follows:

\(A_{1} = \pi (0.08)^2\\A_{2}= \pi (0.01)^2\)

\(\frac{F_{1}}{A_{1}} =\frac{F_{2}}{A_{2}}\)

Simplifying the equation and substituting the values, we can solve for \(F_{2}\):

\(F_{2}=\frac{F_{1}A_{2}}{A_{1}}\)

Plugging in the values, we find:

\(F_{2}=\frac{F_{1} \pi (0.01)^2 }{ \pi (0.08)^2} \\F_{2}= \frac{F_{1}\times 0.0001}{0.0064} \\F_{2}= 0.015625 \times F_{1}\)

Given that the mass of the automobile is 1520 kg and the acceleration due to gravity is \(9.8 \hspace m/s^{2}\), we can equate \(F_{2}\) to the weight of the automobile:

\(F_{2}= mg\\0.015625\times F_{1}= 1520\times 9.8\)

Solving for \(F_{1}\), we find:

\(F_{1}\approx \frac{1520\times 9.8}{0.015624} \\F_{1} \approx 19072 \hspace N\)

Therefore, a force of approximately 19,000 N must be applied to the piston in order to raise the automobile using the hydraulic lift.

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The leading explanation for the existence of spiral arms are:

Answers

The leading explanation for the existence of spiral arms in galaxies is the **density wave theory**.

According to the density wave theory, spiral arms are not fixed structures but rather dynamic patterns that result from density waves propagating through the galactic disk. These waves cause regions of higher density and compression, leading to the formation of the spiral arms.

The theory suggests that as gas and stars move through the galactic disk, they are subjected to gravitational perturbations from neighboring objects or asymmetries in the gravitational field. These perturbations create wave-like patterns that move through the disk, causing regions of compression and enhanced star formation, which manifest as the bright arms we observe.

The density wave theory explains the persistence and relatively stable appearance of spiral arms over long periods. It also accounts for the observed differential rotation of stars within a galaxy, with stars moving faster or slower as they pass through the spiral arms.

While the density wave theory is the leading explanation, other factors such as interactions between galaxies and the effects of magnetic fields can also play a role in shaping and maintaining spiral arms. Ongoing research continues to refine our understanding of the mechanisms behind the formation and dynamics of these beautiful structures in galaxies.

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What factors affect an objects kinetic energy?

Answers

Answer:

friction

air drag

every thing that opposes the motion affects kinetic energy

Explanation:

kinetic energy is a energy which is increase with increase in motion and potential energy is energy stored while the object is at rest

potential energy ∝ 1/(kinetic energy)

as kinetic energy increases potential energy decreases

whos still awake???​

Answers


Meeeeeeeeeeeeeeeeeeeeeeeere

Answer:

definitely not me

Explanation:

why would I?

light from a flashlight shines on a mirror and illuminates

Answers

When light from a flashlight shines on a mirror, the mirror reflects the light according to the law of reflection. The law of reflection states that the angle of incidence (the angle at which the light ray strikes the mirror) is equal to the angle of reflection (the angle at which the light ray reflects off the mirror). This means that the light ray bounces off the mirror and changes direction while maintaining the same angle with respect to the mirror's surface.

The reflected light can then illuminate the surrounding area, depending on the direction of the reflected rays. If the mirror is angled such that the reflected light rays spread out, they can illuminate a larger area. However, if the mirror is angled in such a way that the reflected light rays are directed in a specific direction, the illumination will be focused in that direction.

Overall, when light from a flashlight shines on a mirror, the mirror reflects the light and can redirect or spread out the illumination depending on its angle and shape.

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give two differences between mass and weight​

Answers

Answer: 1) Mass is a scalar quantity while weight is a vector quantity

2) Mass is measured in Gramma and kilogram while weight is measured in Newton.

Explanation:

Mass can be defined as the amount of matter that comprises an object. It is a scalar quantity, that is, it has magnitude. It is measured in kilogram with its unit in Kg. Mass is measured using an ordinary weighing scale.

Weight can be defined as the force acted upon an object due to gravity. Weight is a vector quantity, that is, it has both magnitude and direction towards the center of the earth. Weight can be measured with the use of a spring balance. Its unit is in Newton.

A battery is connected to a light bulb, lighting the bulb. Where in the circuit is the current the greatest?.

Answers

Answer:

No where

Explanation:

Current is the same everywhere in the circuit

Monochromatic light with wavelength 538 nm is incident on aslit with width 0.025 mm. The distance from the slit to a screen is3.5 m. Consider a point on the screen 1.1 cm from the centralmaximum. Calculate (a) θ for that point, (b) α and (c)the ratio of the intensity at that point to the intensity at thecentral maximum.

Answers

The given wavelength is λ = 538 nm = 538 × 10⁻⁹ m

Width of the slit is a = 0.025 mm = 0.025 × 10⁻³ m

Distance between the slit and the screen is D = 3.5 m

Position of the point on the screen is y = 1.1 cm = 1.1 × 10⁻² m

(a) To find θ, we can use the formulaθ = y/D

For the given values,θ = y/D= (1.1 × 10⁻²)/(3.5)= 3.14 × 10⁻³ rad

(b) To find α, we can use the formulaα = λ/a

For the given values,α = λ/a= (538 × 10⁻⁹)/(0.025 × 10⁻³)= 2.152 × 10⁻⁵ rad

(c) To find the ratio of intensity at the given point to the intensity at the central maximum, we can use the formulaI

/I₀ = [sin(πa/λ) / (πa/λ)]² × [sin(πy/λD) / (πy/λD)]²

For the central maximum, y = 0.

So,I/I₀ = [sin(πa/λ) / (πa/λ)]²

For the given point, we have already found θ.

So,I/I₀ = [sin(πaθ/λ) / (πaθ/λ)]² = [sin(π(0.025 × 3.14 × 10⁻³)/(538 × 10⁻⁹)) / (π(0.025 × 3.14 × 10⁻³)/(538 × 10⁻⁹))]²

I/I₀ = 0.0386

So, the ratio of intensity at the given point to the intensity at the central maximum is 0.0386.

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PLEASE HELP ME!
For each equation, state the reaction type and then balance the equation.

___Na3PO4 + ___HCl → _ __H3PO4 + ___NaCl

___KClO3 → __O_KCl + ___O2

Answers

#1

Double displacement reaction

Balanced one

Na_3PO_4+3HCl—»H_3PO_4+3NaCl

#2

Decomposition reaction

Balanced one

2KClO_3—»2KCl+3O_2
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