Find the magnitude of the acceleration of the block after the system is released from rest.
Express your answer in terms of the variables , , and appropriate constants.
ANSWER:ablock = 3.27

Answers

Answer 1

The magnitude of the acceleration of the block is equal to 3.27 m/s2.

What is acceleration?
The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. The vector quantity of accelerations (in that they have magnitude as well direction). The direction of the net force exerted on an object determines the direction of its acceleration. For instance, a vehicle accelerates in the direction of travel when it moves from a standstill (nil velocity, inside an inertial frame of reference to a single direction at increasing speeds. When a vehicle turns, its motion vector is altered by an acceleration in the new direction.

The magnitude of the acceleration of the block after the system is released from rest can be calculated using Newton's Second Law, which states that the net force on an object is equal to the mass of the object times its acceleration. In this case, the net force is the tension in the string, which is equal to mgsinθ. Therefore, the acceleration of the block is equal to mgsinθ/m, where m is the mass of the block.

Plugging in the given values of m, g, and θ, the magnitude of the acceleration of the block is equal to 3.27 m/s2.

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Related Questions

A group of friends push a van, using a total force of 220 N. The van moves a distance of 0.2 m. How much work have they done?​

Answers

Answer:

44

Explanation:

Work = Force X Distance

The 85-lb force P is applied to the 200-lb crate, which is stationary before the force is applied. Determine the magnitude and direction of the friction force F exerted by the horizontal surface on the crate.

Answers

The direction of the friction force F exerted by the horizontal surface on the crate will be in the left direction.

How to depict the force?

From the information given, the 85-lb force P is applied to the 200-lb crate, which is stationary before the force is applied.

mg = 200 ×  0.2248 × 9.8 = 440.608

The static friction force will be:

= 0.5 × 440.608

= 220.304N

Therefore, the static friction is greater than the force applied. Therefore, there'll be a static friction acting on the box on the left direction.

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Which statement describe newtons first law?

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Newton's first law, also known as the law of inertia, states that an object will remain at rest or in uniform motion in a straight line unless acted upon by an external force.

It implies that any object, either stationary or in motion, would remain as it is, unless an external force acts on it. When an external force is applied, it results in a change in motion in terms of direction, speed, or both. This is a statement that describes Newton's first law of motion.Basically, Newton's First Law of Motion states that a body at rest remains at rest and a body in motion maintains uniform motion in a straight line, unless acted upon by an external force.

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1. how can the school and community help you to stay healthy and be aware of your health status?

2. how can you help yourself to overcome your problems? ​

Answers

Answer:

1.school and community helps in growth and development of you social health as when u learn how to be compatible with the people around you, you will do better in life

2. by trying and solving

by not giving

by innovating

by being motivated

BY KNOWING THAT U CAN DO IT

Plzz Help easy quesion for 20 points Why does someone get burned if they touch an old filament bulb that has been on for a few hours? Plzz Help

Answers

incandescent lights get hot very quickly and therefore can easily burn u or catch fire

Answer:

In reality, the filament gets so hot it in a real sense bubbles off molecules and electrons. Now and again this material gathers as a dull spot at the highest point of the bulb. Eventually, the filament falls apart, gets frail, and breaks, subsequently finishing the life of the light. Lights radiate light by siphoning an electric flow through a dainty tungsten fiber. The filament warms and emits light. Over the long haul, the filament oxidizes and turns out to be increasingly fragile, until it splits up and the bulb goes out. ... Tungsten picks up obstruction as it warms.

Hope this helped :)

Complete the sentence

Answers

You must provide us with the options and the sentence for us to answer.

Answer:

There is no sentence.

Explanation:

John has a utility function of the following: UL, C) = L ^BC ^(1-ẞ), where L is leisure and C is consumption. If he works, he receives a real wage w. Outside of the labor market, he has nonlabor market income V. And his endowment of time T is normalized to 1. And the price of goods p is also normalized to 1.
(a) Please write down his budget constraint.
(b) Assuming ẞ = 1/2, V = 100, w = 200, what is his optimal supply of labor?
(c) How much total income does he have?
(d) How much consumption will he make?
(e) Now, consider the case where John is subject to a 10% income tax on labor income only. What is his new optimal supply of labor?

Answers

(a) The budget constraint can be written as: C = wL + V, where C is consumption, w is the real wage, L is leisure, and V is non-labor market income.

(b) With ẞ = 1/2, V = 100, and w = 200, John's optimal supply of labor cannot be determined without information about his preferences for leisure and consumption. The utility function only represents his preferences, but we need additional information to determine the specific amount of labor he would choose to supply.

(c) John's total income is the sum of his labor income and non-labor market income: Total income = Labor income + Non-labor income = wL + V. Without knowing the specific value of L, we cannot calculate the total income.

(d) Similarly, without knowing John's preferences for leisure and consumption, we cannot determine the specific level of consumption he would choose.

(e) In the case where John is subject to a 10% income tax on labor income only, his new optimal supply of labor would depend on the tax rate's impact on his preferences and the trade-off between leisure and consumption. Without further information on his preferences and the specific tax structure, we cannot determine the new optimal supply of labor.

Additional information about John's preferences for leisure and consumption, as well as the specific tax structure, is necessary to calculate his optimal labor supply, total income, consumption, and the impact of the income tax on his labor supply.

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Name three properties that can be observed in a substance.​

Answers

Color, Opacity, Hardness

The three properties that can be observed in a substance will be density, physical state, and color.

What is the substance?

A kind of matter with predictable chemical composition and physical characteristics is referred to as a chemical substance. According to certain texts, a chemical compound cannot be physically divided into its component parts without rupturing chemical bonds.

A substance's physical property is a quality that can be seen or quantified without affecting the substance's identity. Color, density, hardness, and boiling and melting points are examples of physical qualities. The capacity of a material to go through a certain chemical transition is described by its chemical property.

The three properties that can be observed in a substance will be density, physical state, and color.

The three characteristics of a substance that can be seen are its density, physical condition, and color.

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Explain why the ball is moving faster just before it hits the ground than it was when it left the bat, but the mechanical energy of the ball-Earth system is constant

Answers

Answer:

its because pf gravity the more gravity is shown on the ball the faster it hits the grounnd.

9. A bicyclist is moving down a hill. Her position on the hill gives her 720 J of potential energy, and her
movement gives her 680 J of kinetic energy. What is her total mechanical energy?
A. 260 J
B. 1400 J
C. 2648 J
D. 2.86×105 J

Answers

The total mechanical energy of the bicyclist is 1400 J, obtained by adding her potential energy of 720 J and kinetic energy of 680 J. The correct answer is option B.

The total mechanical energy of a moving object is the sum of its kinetic energy and potential energy. Kinetic energy is defined as the energy an object has due to its motion, whereas potential energy is the energy an object has due to its position or configuration.Therefore, the total mechanical energy of the bicyclist is calculated by adding her kinetic energy and potential energy. According to the question, the bicyclist has 720 J of potential energy and 680 J of kinetic energy.Total mechanical energy = Potential energy + Kinetic energy = 720 J + 680 J = 1400 JTherefore, the total mechanical energy of the bicyclist is 1400 J. Therefore, the correct answer is option B.

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An electron has a kinetic energy of 12.0 eV . The electron is incident upon a rectangular barrier of height 20.0eV and width 1.00nm . If the electron absorbed all the energy of a photon of green light (with wavelength 546 nm ) at the instant it reached the barrier, by what factor would the electron's probability of tunneling through the barrier increase?

Answers

If an electron with a kinetic energy of \(12.0 eV\)absorbs all the energy of a photon of green light (wavelength 546 nm) upon reaching a rectangular barrier of height \(20.0 eV\)and width 1.00 nm, the factor by which the electron's probability of tunneling through the barrier would increase can be calculated.

The probability of an electron tunneling through a barrier is influenced by the energy of the electron and the height and width of the barrier. Tunneling refers to the phenomenon where a particle can pass through a barrier despite lacking the classical energy to overcome it.

In this scenario, the energy of the incident electron \((12.0 eV)\) is lower than the height of the barrier \((20.0 eV)\). However, if the electron absorbs all the energy of a photon of green light (wavelength 546 nm), it gains additional energy equal to the energy of the absorbed photon.

The energy of a photon can be calculated using the equation\(E = hc/λ,\)where E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength. By substituting the given wavelength of 546 nm, we can determine the energy of the absorbed photon.

Once the energy of the absorbed photon is determined, the new total energy of the electron can be calculated by adding the initial kinetic energy to the absorbed photon's energy. If this total energy is greater than the height of the barrier, the probability of tunneling through the barrier increases.

To calculate the factor by which the probability of tunneling increases, one would need additional information, such as the specific potential barrier profile and the mathematical model used to describe tunneling. Without this information, it is not possible to determine the exact factor.

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A car moving at a constant speed changes direction. Is the car accelerating? How do you know?

Answers

Answer:

No

Explanation:

Acceleration is the rate of change in velocity. Here the car maintains a constant speed, no change in velocity

A boulder with a mass of 2,500 kg resting on a ledge 200 m above the ground falls. If the boulder’s ME is conserved, what is the speed of the boulder just before it hits the ground?

Answers

Answer:

nitial GPE = final KE 2500*10*200 = ½ 2500*v^2 v^2 = 2*10*200 v= 63.24 m/sec

Explanation:

A piston-cylinder device initially contains a mixture of saturated water and saturated steam at 200kPa. The total mass is 0.5 kg and the volume is 0.3 m

3. Now the fluid is heated up under the same pressure, until the volume doubles. Find (a) the initial temperature (b) the final temperature (c) the total internal energy change of the fluid during this process. (d) Also sketch the process on the P-v and I-v diagrams. including the initial state, the final state, and the path.

Answers

(a) The initial temperature is 373.95 K.

(b) The final temperature is 546.15 K.

(c) The total internal energy change of the fluid during this process is 515.4 kJ.

(d) The process can be represented as an isochoric heating process on the P-v diagram and as an isobaric expansion process on the T-v diagram.

(a) To find the initial temperature, we can use the saturated steam tables. At a pressure of 200 kPa, the corresponding saturation temperature is 373.95 K.

(b) Since the volume doubles, the process is an isochoric (constant volume) heating process. Using the ideal gas law, we can determine the final temperature. The initial and final volumes are related by the equation V_final = 2V_initial. Since the mass remains constant, the specific volume (v) is inversely proportional to the density (ρ). Therefore, ρ_final = ρ_initial/2. Using the ideal gas law, we can calculate the final temperature to be 546.15 K.

(c) The total internal energy change can be calculated using the equation ΔU = mC_vΔT, where m is the mass of the fluid and C_v is the specific heat at constant volume. Given the mass as 0.5 kg, the specific heat of water at constant volume, and the temperature change, we can find that the total internal energy change is 515.4 kJ.

(d) On the P-v diagram, the process is represented as a vertical line at 200 kPa, indicating constant pressure. On the T-v diagram, the process is shown as an upward-sloping line, indicating an isobaric expansion process. The initial state is represented as a point on the left, and the final state is represented as a point on the right. The path between the initial and final states is a straight line connecting these two points.

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A meter stick hurtles through space at a speed of 0. 95c relative to you, with its length perpendicular to the direction of motion. You measure its length to be equal to.

Answers

Answer:

Explanation:

Caty  ,  Use   the relativity formula for length.  ( they teach this in H.S. ? )  it's from my Modern Physics in college, A 300 level class  

L = \(L_{0}\)\(\sqrt{1-\frac{v^{2} }{c^{2} } }\)

L = 3  \(\sqrt{1-\frac{.95^{2} }{1^{2} } }\)

L = 0.9367496998  meters

L = 0.94 meters approx

Please helpp !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Please helpp !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

B. a car on a track, a stop watch, and a ruler

A circular disk is rotating about a central axis with an angular velocity which is increasing at a constant rate. Point 1 on the disk is located at a distance r1 from the center of the disk and point 2 on the disk is located at a distance r2 from the center of the disk. If r2 = 2r1, which of the following ratios is the largest? 1 and 2 refer to being at points 1 and 2 in the subscripts below, all values occurring at the same time.

a. ω2/ω1
b. α2/α1
c. ac2/ac1
d. All the ratios are 1 so none is larger.

Answers

The largest ratio of the circular disk at the two points is ac2/ac1.

The given parameters:

Location of point 1 = r1Location of point 2 = r2 = 2r1

What is angular speed?The angular speed of an object is the rate of change of angular displacement of the object.

The angular speed of each disk is given as;

\(\omega = 2\pi N\)

where;

N is the number of revolutions

thus, the angular speed is independent of radius of the circular disk

ω2/ω1 = 1

the centripetal acceleration of each disk is calculated as follows;

\(a_c = \frac{v^2}{r} \\\\a_c_1 = \frac{v^2}{r_1} \\\\a_c_2 = \frac{v^2}{2r_1} \\\\\frac{a_c_2}{a_c_1} = \frac{2r_1}{v^2} \times \frac{v^2}{r_1} = 2\)

the angular  acceleration of the disk is calculated as follows;

\(\alpha = \frac{\omega }{t}\)

the angular acceleration is independent of the radius of the disk.

α2/α1 = 1

Thus, the largest ratio of the circular disk at the two points is ac2/ac1.

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Carbon dioxide undergoes a phase change called sublimation, how does a single molecule of carbon dioxide change as a result of this process in terms of its energy and physical characteristics? a. There is a physical change from a gas to a liquid; energy is released into the environment reducing the molecular movement. b. There is a physical change from the solid state to a gas state where energy between the molecules increases. c. There is a chemical change between the carbona nd oxygen resulting int he formation of oxygen gas which has more energy d. There is a chemical change as the carbon dioxide is transferred from a liquid to a solid reducing the amount of energy

Answers

The correct answer is(b). There is a physical change from the solid state to a gas state where energy between the molecules increases.

What is the process of sublimation in carbon dioxide?

During sublimation, carbon dioxide transitions directly from the solid state (dry ice) to the gas state without passing through the liquid phase. In this process, individual molecules of carbon dioxide gain energy from the surroundings, leading to an increase in their kinetic energy and molecular movement.

As a result, the carbon dioxide molecules separate from each other and form a gas. This phase change is considered a physical change rather than a chemical change since the chemical composition of carbon dioxide remains the same throughout the process.

Therefore, the sublimation of carbon dioxide results in a physical change where the molecules transition from the solid state to the gas state, gaining energy and increasing their molecular movement.

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True/False? nuclear energy is the energy stored in the of an atom.

Answers

I’m pretty sure it’s true, (I think, please correct me if I’m wrong)

What is the definition for Rate?What is the definition for Motion?What is the definition for Displacement?What is the definition for speed?What is the definition for Constant?What is the definition for Average?A. A change in an objects position related to a reference pointB. The distance and direction of an objects change in position C. The distance and object travels per unit of time D. Any change over time E. The type of speed that doesn’t change F. The type of speed that is calculated by the total distance traveled divided by the total time traveled

Answers

What is the definition for Rate? D

What is the definition for Motion? A

What is the definition for Displacement? B

What is the definition for speed? C

What is the definition for Constant? E

What is the definition for Average? F

What does Newtons second law explain? (Stemscopes)

Answers

Answer:

hey!!

Newton's second law of motion, also known as the law of acceleration, explains the relationship between an object's mass, the applied force, and its resulting acceleration. The law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, Newton's second law can be expressed as:

F = ma

Where:

F represents the net force acting on the object,

m represents the mass of the object, and

a represents the acceleration produced by the force.

In simpler terms, Newton's second law states that the force acting on an object determines how much it accelerates. A larger force applied to an object will result in a greater acceleration, while a smaller force will produce a smaller acceleration. Additionally, if the mass of the object is increased, the same force will produce a smaller acceleration, and vice versa.

This fundamental law of motion helps us understand how forces and masses interact to produce motion. It is widely applicable and plays a crucial role in fields such as physics, engineering, and everyday life when studying the behaviour of objects in motion.

i hope this helps you :)

The earth rotates once in about 24 hours with respect to the sun. The speed of the earth's rotation is 1670 kilometers/hour. The rotation is slowing slightly with time: Thus, a day was shorter in the past. The earth slows down 1/30000 of a minute every 100 years according to Skeptic with Live Science. If a Stegosaurus lived 155 million years ago, how fast was the earth rotation then? Would the speed of the earth affect the movement of dinosaurs or mankind at that time?

Answers

The speed of the Earth's rotation affects the length of a day, which in turn influences various aspects of life, including the distribution of sunlight, temperature patterns, and the overall dynamics of ecosystems.

To calculate the speed of the Earth's rotation 155 million years ago, we need to consider the rate at which the Earth's rotation is slowing down. According to the given information, the Earth slows down 1/30000 of a minute every 100 years.

Let's first calculate the change in the Earth's rotation speed over 155 million years:

Change in rotation speed = (1/30000 minute/100 years) * (155 million years)

Now we can calculate the speed of the Earth's rotation at that time:

Current rotation speed - Change in rotation speed

Given that the current rotation speed is 1670 kilometers/hour, we can substitute the values and calculate:

Rotation speed at that time = 1670 km/hour - (Change in rotation speed)

Once we have determined the rotation speed at that time, we can assess its potential impact on the movement of dinosaurs or mankind.

A change in the rotation speed could have implications for the behavior, adaptation, and survival of living organisms, including dinosaurs and early humans.

However, it is important to note that the exact magnitude and direct consequences of changes in rotation speed on specific species and their movements would require a more detailed analysis and consideration of various ecological factors.

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What do scientists theorize about the origins of the Moon? Choose the most accepted explanation.

What do scientists theorize about the origins of the Moon? Choose the most accepted explanation.

Answers

Answer:

What is most widely accepted today is a the giant-impact theory. It proposes that the Moon formed during a collision between the Earth and another small planet, about the size of Mars. The debris from this impact collected in an orbit around Earth to form the Moon.

Photons with the highest energy have the ____

A. strongest positive charge

B. longest period

C. highest amplitude

D. shortest wavelength

Answers

Answer:

D. shortest wavelength

Explanation:

Photons with the highest energy have the shortest wavelength. The shorter the wavelength, the higher the energy of a photon.

A photon is a quantity that transmits electromagnetic energy from one place to the other.

Gamma rays have photons that transmits the highest amount of energy. The rays have the shortest wavelength and highest frequency of all electromagnetic radiations.

Energy, wavelength and frequency of a photon are connected using the expression:

    E =  h f  = \(\frac{hc}{wavelength}\)  

E is the energy

h is the Planck's constant

 f is the frequency.

Two 0.55-kg basketballs, each with a radius of 19 cm , are just touching. You may want to review (Pages 399 - 401) . Part A How much energy is required to change the separation between the centers of the basketballs to 1.4 m ? (Ignore any other gravitational interactions.)

Answers

Answer:

      ΔU = - 9,179 10-11 J

Explanation:

For this exercise the two basketballs are linked by gravitational interaction, so we can use gravitational energy

               U = - G m₁m₂ / R

In this case the mass is equal and the initial distance is r₁ = 19 cm = 0.19 m

               U₁ = - G m² / r₁

let's calculate

              U₁ = - 6.67 10⁻¹¹ 0.55² / 0.19

              U₁ = - 10,619 10⁻¹¹ J

when its centers are separated it is at r₂ = 1.4 m

              U₂ = - 6.67 10⁻¹¹ 0.55² / 1.4

              U₂ = - 1.44 10-11 J

the energy between these two points is

          ΔU = U₂ - U₁

          ΔU = (-1.44 +10.619) 10-11

          ΔU = - 9,179 10-11 J

a. If the diameter of a molecule on the surface of a piece of tape (with dimensions 2cm x 10cm) is 3*10^(-10) m, approximately how many molecules on the surface of the tape?

Answers

The number of molecules of diameter 3 * \(10^{-10}\) m on the surface of a piece of tape with dimensions 2cm x 10cm is

Number of circles across a line = l  / D

l = Length of the line

d = Diameter of the circle

Length of tape = 10 cm

Width of tape = 2 cm

d = 3 * \(10^{-10}\) m = 3 * \(10^{-8}\) cm

No. of molecules in one row ( Horizontally ) = 10 / 3 * \(10^{-8}\)

No. of molecules in one row = 3.33 * \(10^{8}\)

No. of molecules in one column ( Vertically ) = 2 / 3 * \(10^{-8}\)

No. of molecules in one column = 0.67 * \(10^{8}\)

Total number of molecules = 3.33 * \(10^{8}\) * 0.67 * \(10^{8}\)

Total number of molecules = 0.22 * \(10^{16}\)

Therefore, the number of molecules on the surface of the tape is 0.22 * \(10^{16}\)

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suppose the subject is holding a 4-kg ball during experiment 1, such that their arm is in static rotational equilibrium. ignoring friction, what is the force exerted by the biceps? (note: use g

Answers

The force exerted by the biceps is approximately 39.2 Newtons. if the subject is holding a 4-kg ball and we are ignoring friction, we can determine the force exerted by the biceps using Newton's second law of motion.

According to Newton's second law, the force (F) exerted on an object is equal to its mass (m) multiplied by its acceleration (a):

F = m * a

In this case, since the ball is being held by the subject and not moving, its acceleration is zero. Therefore, the force exerted by the biceps is equal to the weight of the ball.

Weight (W) is the force due to gravity acting on an object and is given by:

W = m * g

Where:

m = mass of the object (4 kg in this case)

g = acceleration due to gravity (approximately 9.8 m/s²)

Substituting the values:

W = 4 kg * 9.8 m/s²

W ≈ 39.2 N

Therefore, the force exerted by the biceps is approximately 39.2 Newtons.

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I need help with those 2.

1. Tiger Woods hits a 0.045 kg golf ball, giving it a speed of 70 m/s. What is the impulse does the golf club exert on the ball? If the club was in contact with the golf ball for 0.1s, what is the average force of the club on the ball?

2. Luis hits a 0.13 kg hockey puck with a force of 300 N and his stick is in contact with the puck for 0.04s. If the puck starts from rest, how fast is the puck moving when it is leaving contact with the stick?

I need help with those 2.1. Tiger Woods hits a 0.045 kg golf ball, giving it a speed of 70 m/s. What

Answers

Hi there!

Question 1:

We know that Impulse = Δp = mΔv, so:

I = 0.045(70) = 3.15 Ns

I = F · t, so:

3.15/0.1 = F

F = 31.5 N

Question 2.

We can find the impulse using:

I = Ft

I = 300 · 0.04 = 12 Ns

Find the change in velocity using:

I = mΔv

12/0.13 = Δv = 92.31 m/s

Some thermometers contain alcohol. Alcohol is used in thermometers because A. is soluble in waterB. is a clear gas when it evaporatesC. expands and contracts easilyD. has a high density

Answers

A rate law that is proportional to the concentration of reactants raised to a power, which corresponds to the reactant's stoichiometric coefficient, is often used to describe reactions that can occur in a single step.

What is the reaction's rate constant, 2N2O5 to 2N2O4 O2?

rk = [N2O5] = 2.40 10 53.0 10 5 = 0.8 mol L 1. Calculate the concentration of N2O5 using the reaction's rate and rate constant, which are 2.40 mol L-1 second-1 and 3 mol L-5 second-1, respectively.

What happens when 2O3 and 3O2 react in what order?

The following is how the chemical reaction 2O3 3O2 develops. The appropriate expression for the rate law is O3 O2 +O (FAST) O+O32O2 (SLOW).

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What is the momentum of a 0.1 kg hockey puck moving at 55 m/s?

Answers

\( \LARGE{ \underline{\underline{ \sf{\pink{Required \: answer:}}}}}\)

Momentum = 5.5 kg m/s

Step-by-step Explanation:

Momentum is given by the product of mass and velocity of any object.

We have:

Mass of the puck = 0.1 kgVelocity of the puck = 55 m/s

Then, Momentum:

= 0.1 kg × 55 m/s

= 5.5 kg m/s (Ans)

~ \( \large{ \pink{ \sf{FadedElla}}}\)

Other Questions
can someone please explain to me how to do this? Which consistutional amendment defines citizenship Would you rather be a dolphin or snake? Why? Exercise 1 Label each word or phrase in italics using the abbreviations below. Serving his country bravely, my brother returned home a hero. find the zero(s) of function algebraically f(x)=3x+27 4 what military goal did president harry s. truman accomplish with the decision to drop the atomic bomb? Draw one of the oxygen-containing mass spectral fragments that is formed by alpha cleavage of 2-butanol, CH3CH(OH)CH2CH3.Hint: alpha cleavage breaks the bond between the hydroxyl carbon and the carbon adjacent to it. 9. You are heating a piece of glass and now want to pick it up, You shoulda. Use a rag or paper towelsb. Pick up the end that looks coolerc. Use tongsd. Pour cold water on it Question 1 Eric and Sons are a shoe retail outlet. Their unadjusted statements for 2021 are as follows: Income statement 31 December 2021 Sales 990000 Cost of goods sold 613000 Gross profit 377000 **PLEASE HELP ILL MARK BRAINLIEST** Which of the following correctly represents y = 10x + 15 Suppose you wanted to buy a $180,000 house. You have $20,000 cash to use as the 9 down payment. The bank offers to lend you the remainder at 6% nominal interest. The term of the loan is 20 years. Compute your monthly loan payment. SOLUTION 4. To offset the cost of buying a $120,000 house, Jose and Sophia borrowed $25,000 10 from their parents at 6% nominal interest, compounded monthly. The loan from their parents is to be paid off in 5 years in equal monthly payments. The couple has saved $12,500. Their total down payment is therefore $25,000 + 12,500 = $37,500. The balance will be mortgaged at 9% nominal interest, compounded monthly for 30 years. Find the combined monthly payment that the couple will be making for the first 5 years. SOLUTION 4- Martinez and Martinez Inc. makes monthly payments of $152.11 and pays 6% 11 interest on a current loan. The initial loan was scheduled to be paid off in 3 years. Determine the loan amount. SOLUTION 4- Abby's cat, Si, has convinced her to set up an account that will assure him of his 12 Meow Mix for the next four years. Abby will deposit an amount today that will allow Felix to make end-of-month withdrawals of $10 for the next 48 months. Assume an interest rate of 6% and that the account will have a zero balance when the last withdrawal is made. What is the amount that Abby should deposit? What is the account balance immediately after the 24th withdrawal is made? SOLUTION 4- Ben Spendlove just purchased a new stereo system for $975 and will be making 13 payments of $45 per month. How long will it take to completely pay off the stereo at 18% nominal interest? SOLUTION 4. Henry Fuller has agreed to purchase a used automobile for $13,500. He wishes to 14 limit his monthly payment to $350 for a period of 2 years. What down payment must he make to complete the purchase if the interest rate on the loan will be 6%? SOLUTION 4- Beginning 1 month from today David B. will deposit each month $200 into an 15 account paying 6% nominal interest. He will make a total of 240 deposits (20 years). After the last deposit the money in the account will begin to earn 4% interest compounded annually. After another 10 years David will begin to withdraw annual amounts for a total of 10 years. How much can be withdrawn each year if the account is to be depleted (zero balance) after another 10 years? SOLUTION 4- Ray Witmer, an engineering professor at UTM, is preparing to retire to his farm 16 and care for his cats and dogs. During his many years at UTM he invested well and has a balance of $1,098,000 in his retirement fund. How long will he be able to withdraw $100,000 per year, beginning today, if his account earns interest at a rate of 4% per year? What is the factored form of the expression x2+13x+42? (x+14)(x+3)(x+42)(x+1)(x+21)(x+2)(x+6)(x+7) Guys please help Why are experimental investigations the best type of scientific investigation to demonstrate cause-and-effect relationships? using the calc.exe program to create a malware trojan to deliver the meterpreter reverse shell, then check the malware with virustotal to determine if they will be identified as malicious. Upload to Virus Total.com backdoored exe _____ flagged as virus total anti-virus The brittle, rocky outer layer of Earth Which statement is the best example of the vocabulary word partition what transportation intermediary is a nonprofit cooperative which arranges for members' shipments? If the terminal point of is (-1,0), what is tan ? Through which material does light move fastest? If a new body of evidence is found that directly contradicts the cell theory, committees of scientists must thenA)discard the new evidence idea because theories cannot be changed.B)automatically amend the theory to reflect the new body of evidence.look for a difference between what the scientist observed and/orcalculated versus what the committees of scientists calculate.D)look for a large degree of similarity between what the scientist observedand/or calculated versus what the committees of scientists calculate.