an object moves with constant speed of 2 m/s in circular motion with a radius of 5 meters. what is the angular velocity of this object?

Answers

Answer 1

An object moving in a circular motion with a constant speed of 2 m/s and a radius of 5 meters can be said to have an angular velocity, the object's angular velocity is 0.4 radians per second.

Angular velocity is the rate of change of the angular displacement of an object with respect to time. It can be calculated using the equation:

ω= v / r

where ω is the angular velocity, v is the linear speed, and r is the radius of the circle.

In this case, the linear speed of the object is 2 m/s and the radius is 5 meters. Substituting these values into the equation above, we get:

ω = 2 m/s / 5 meters

This gives us an angular velocity of 0.4 radians per second.

This means that the object is completing 0.4 revolutions per second and that it takes 1.5 seconds to complete one full revolution. It also means that it takes 6 seconds to complete a full circle.

Therefore, the object's angular velocity is 0.4 radians per second.

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Related Questions

What happens to the electric force between two particles if the distance
between them is doubled?
A. It decreases to half the original force.
B. It increases to twice the original force.
C. It increases to 4 times the original force.
D. It decreases to 1/4 of the original force.

Answers

Answer:

D.

Explanation:

Force and distance are inversely related, so a greater distance results in a weaker force.

Five race cars speed toward the finish line at the Jasper County Speedway. The table lists each car’s speed in meters/second. If each car has the same mass, which car will require the longest time to come to a full stop?
Car A Car B Car C Car D Car E
890 m/s 850 m/s 790 m/s 895 m/s 870 m/s

Car A

Car B

Car C

Car D

Car E

Answers

Answer:

Car D

Explanation:

Answer:

The corect answer is car D hope this helped (:

Explanation:

A skateboarder is skating along a level concrete path. Every so often, to keep himself going, he uses his foot to give himself a push. Discuss why the skateboarder needs to regularly push with a foot when skateboarding along a level surface.
In your answer, you should:
- describe the motion of the skateboarder during a push and between pushes
- identify the forces in action and explain whether they are balanced or unbalanced
- link the net force to the motion of the skateboarder.

Answers

The skateboarder needs to regularly push with their foot when skateboarding along a level surface because of the presence of frictional forces that oppose motion. When the skateboarder gives themselves a push, they increase their forward velocity.

The skateboarder needs to regularly push with their foot when skateboarding along a level surface because of the presence of frictional forces that oppose motion. When the skateboarder gives themselves a push, they increase their forward velocity. However, over time, the velocity decreases due to the force of friction between the skateboard's wheels and the ground, which acts in the opposite direction to the skateboard's motion. During a push, the skateboarder exerts a force on the skateboard that propels it forward. Between pushes, the skateboard moves at a constant velocity due to the balanced forces acting upon it. However, as frictional forces act on the skateboard, it slows down until the next push is required. The net force acting on the skateboarder is unbalanced, as the force of friction acting against the skateboard's motion is greater than the force of the skateboarder's push. The resulting net force causes the skateboarder to slow down over time. Thus, by pushing themselves, the skateboarder overcomes the force of friction and maintains their forward motion.

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In a single component of an electromagnetic plane wave, what is the relative orientation of the vector directions of the electric field, the magnetic field, and the propagation direction?
a. The electric and magnetic fields are parallel to each other and are both parallel to the propagation direction.
b. The electric and magnetic fields are parallel to each other and are both perpendicular to the propagation direction.
c. The electric field direction, magnetic field direction, and propagation direction can be oriented independent of one another and in any direction.
d. The electric and magnetic fields are perpendicular to each other and are both parallel to the propagation direction.
e. The electric and magnetic fields are perpendicular to each other and are both perpendicular to the propagation direction.

Answers

The correct answer is option d. In a single component of an electromagnetic plane wave, the electric and magnetic fields are perpendicular to each other and are both parallel to the propagation direction.

This means that the magnetic field is oriented perpendicular to the electric field and the direction of wave propagation is perpendicular to both the electric and magnetic fields. This relationship is known as the right-hand rule, where if you curl the fingers of your right hand in the direction of the electric field, then the direction of your thumb represents the direction of the magnetic field, and the direction of your palm represents the direction of wave propagation. The electric and magnetic fields are perpendicular to one another and to the direction of propagation in a single component of an electromagnetic plane wave. Transverse wave propagation is this process. The maximum and minimum values of the electric and magnetic field vectors occur at the same time and place because they are in phase with one another. One of the essential properties of electromagnetic waves is this relative orientation.

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Two forces act on a moving object that has a mass of 27 kg. One has a magnitude of 12 N and points due south, while the other has a magnitude of 17 N and points due west. What is the acceleration of the object

Answers

0.77 m/s2 directed 35° south of west

net force = (-17,-12)

net force = mass * acceleration

(-17,-12) = 27 * (x-acceleration,y-acceleration)

(x-acceleration,y-acceleration) = (-17/27,-12/27) = (-0.629629629..., -0.444...)

angle of acceleration = tan^-1 (-0.444.../-0.629629...) = 35.21759 degrees below negative x-axis.

magnitude of acceleration = sqrt((-0.629629...)^2 + (-0.444...)^2) = 0.77069 (5dp)

When light goes straight through a medium that means it has been

Question 8 options:

absorbed


reflected


transmitted

Answers

Answer:

Reflected

Explanation:

During the process of reflection whatever that is sent forth e.g light comes back (reflects)

Answer:

transmitted

Explanation:

took quiz

_____ is a measure of the force of gravity pulling down on an object. it is measured in newtons (N), the common unit for measuring force

Answers

By definition, Weight is a measure of the force of gravity pulling down on an object. it is measured in newtons (N), the common unit for measuring force.

Weight is called the action exerted by the force of gravity on the body.

The mass (amount of matter that a body contains) of an object will always be the same, no matter where it is located. Instead, the weight of the object will vary according to the force of gravity acting on it.

The formula that allows you to calculate the weight of any body is:

P = m×g

where:

P = weight measured in N. m = mass measured in kg. g = acceleration of gravity measured in m/s². The acceleration of gravity g is the same for all objects that fall due to gravitational attraction, regardless of their size or composition. For example, as an approximate value on Earth, g = 9.8 m/s².

Then, the weight of an object is the force of gravity on the object, that is, the weight will vary according to the force of gravity that acts on it. So the correct answer is:

Weight is a measure of the force of gravity pulling down on an object. it is measured in newtons (N), the common unit for measuring force.

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WILL AWARD BRAINLIEST AND STARS FOR WHOEVER ANSWERS THIS

WILL AWARD BRAINLIEST AND STARS FOR WHOEVER ANSWERS THIS

Answers

Answer: The table that would organize and summarize the class data on pH levels of the different soil types is found in the attachment below.

Explanation: As an A+ student, I love to help people on brainly in my free time! If this answer helped you, please click the heart, click the crown to give brainliest and give a 5 star rating! I'd appreciate it if you did at least one of those <3 Have a great day.

Find the kinetic energy of a ball of mass 200 grams moving at a speed of 20 m/s.​

Answers

Answer:

40KJ

Explanation:

m=200g

V=20m/s

Ek=?

Ek=(m*V²)/2

Ek=(200*20²)/2

Ek=(200*400)/2

Ek=80 000/2

Ek=40 000 J =40KJ

velocity is a vector quantity. give reason​

Answers

Answer:

Velocity as a Vector Quantity

=Because the person always returns to the original position, the motion would never result in a change in position. Since velocity is defined as the rate at which the position changes, this motion results in zero velocity. ... As such, velocity is direction aware.

Explanation:

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A Projectile is launched horizontally from a height of 120m. If it lands 300 ft away from where it was launched, how fast was it launched?

Answers

The initial speed of the projectile is 18.5m/s

What is a projectile ?

Projectile motion is the motion of an object thrown into the air under gravity. Examples of projectiles include a fired bullet, a thrown javelin e t.c

When a projectile is launched horizontal, it's horizontal range is given as R = u(√2h/g)

R = 300ft = 91.44meters

h= 120m

therefore 91.44= u( √ 2×120/9.8)

91.44 = u ( √24.49)

91.44 = 4.95 u

divide both sides by 4.95

u = 91.44/4.95

u = 18.5m/s

therefore the speed of the projectile is 18.5m/s

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Last Thursday, I went for a walk through my neighborhood. I started at my house. My smart watch told me that I walked a total of 3.5 miles. I started my walk at 5 pm and ended at 8 pm. At the end of my walk, I was 50 meters north of my house visiting a neighbor. I wanted to find my average velocity on the trip. My distance walked was 3.5 miles. My time was 3 hours. To find velocity, I used my calculator to find 3.5 miles divided by 3 hours which equaled 1.16 miles per hour. Did I accurately calculate my velocity? If not, what did I do wrong and what was my correct velocity?

Answers

Answer:

Yes, that is correct, although most velocity is calculated via m/s and therfore you would multiply your 3 hours by 60 twice. Much of the information given is irrelevant and just trying to confuse.

Explanation:

Why is friction a problem in space travellers​

Answers

The answer is gravitational:)

An Atwood's machine consists of two masses, m and M2, which are connected by a massless inelastic cord that passes over a pulley, Fig. 8-47. If the pulley has radius R and moment of inertia I about its axle, determine the acceleration of the masses mi and m2, and compare to the situation in which the moment of inertia of the pulley is ignored. [Hint: The tensions Fri and Fm are not
Fr
equal. We discussed this situation in Example 4-13, assuming
I = 0 for the

Answers

The expression for the acceleration is the same in both cases, indicating that the moment of inertia of the pulley does not affect the acceleration of the masses.

An Atwood's machine consists of two masses connected by a rope that passes over a pulley. The acceleration of the masses can be found by applying Newton's second law to each mass separately. The force due to gravity and the tension in the rope are the only forces acting on the masses.

If we consider the moment of inertia of the pulley, the acceleration can be found using the net forces on each mass. However, if we ignore the moment of inertia of the pulley, the acceleration can be found using the net force on the system. However, the expression for the acceleration is the same in both cases, meaning that the moment of inertia of the pulley does not affect the acceleration of the masses.

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What is the current flowing through a 10 resistor in a parallel circuit with a 120 V potential difference across it?
on​

Answers

Answer:

let current flow be x

Explanation:

than we know potential difference = energy supply / charge then 120 = 10 /x then x=12 therefore pd = 12 v

120=10/X
12=1/X
12•1=12
So the answer is 12
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Empujamos un baúl 3 metros, para ello aplicamos una fuerza de 200 Newton. ¿Cuál es el trabajo realizado?

Answers

Answer:

Trabajo realizado = 600 Nm

Explanation:

Dados los siguientes datos;

Fuerza = 200 Newton

Distancia = 3 metros

Para encontrar el trabajo realizado; Trabajo realizado = fuerza * distancia

Sustituyendo en la ecuación, tenemos; Trabajo realizado = 200 * 3

Trabajo realizado = 600 Nm

7
Radon-222 is radioactive. It can be represented as 222 Rn.
86
For a neutral atom of radon-222, state
1. the number of protons,
2. the number of neutrons,
3. the number of electrons.

Answers

For a neutral atom of radon-222, the number of protons is 86, the number of neutrons is 136, and the number of electrons is 86.

What is a neutral atom?

A neutral atom can be described as one in which the amount of the positive charge is equal to the of amount the negative charge. Therefore, the net charge on the atom will be equal to zero. Therefore, such type of atom is said to be a neutral atom.

For a neutral atom, we usually say that the number of electrons in an atom is equal to the number of protons. All chemical elements which are arranged in the modern periodic table are in their neutral state.

Given, the atomic number of Radon-22 is 86.

Atomic number = the number of electrons = Number of protons

The number of electrons for the neutral atom of Rn = 86

The number of protons in Rn-222 = 86

The number of neutrons = 222 - 86 = 136

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Rocket can propel itself in a vacuum. True or false

Answers

Answer:

Yes.

Explanation:

Rocket can propel itself in vacuum because the thrust is provided as a reaction to the the gases coming out of rocket, which have nothing to do with vacuum.

A B-1 bomber weighs 86,000 kilograms. Why does it not have any momentum if it is waiting to take off?

Answers

The frame of reference you are operating in determines the momentum. The overall momentum will be 0 if you operate in a frame of reference where the center of mass is stationary.

a bomb before explosion does mot have any kind of external forces, and here we see how the momentum does not affected by before Collison.

According to the law of conservation of momentum, the combined momentum of objects that interact stays constant. This implies that the overall momentum prior to  explosion equals the total momentum following a  explosion.

P = mv determines an object's momentum prior to impact.

Its velocity and momentum are unaffected in the absence of an external force prior to the impact.  

 

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A toy car of mass 2-kg travels along a horizontal surface with negligible friction at a speed of 1.0 m/s. The car then collides with a vertical wall. The wall applies a force of magnitude 20 N for 0.2 s on the toy car. Which of the following predicts the motion of the toy care immediately after the collision?
A: The speed of the car will increase, and the car will travel in the opposite direction.
B: The speed of the car will decrease, and the car will travel in the opposite direction.
C: The speed of the car will remain the same, and the car will travel in the opposite direction.
D: The car will stop and remain motionless.

Please show your work in finding the direction of motion - ie. please don't use common sense but rather show the applicable physics principles along with formulas to find the direction of motion.

Answers

Answer:

An experiment is conducted in which a cart travels across a horizontal surface and collides with a wall. Data collected from the experiment are used to create the graph of the cart's velocity as a function of time. All frictional forces are considered to be negligible. Which data from the graph should the student use to determine the direction of the net force exerted on the cart and the direction of the change in momentum of the cart from the time intervals of A to B?

Explanation:

Mass=m=2kgVelocity=v=1m/sMomentum=mv=2kgm/s

As we know that

Force=dp/dt(Change in momentum/time)

So

20N=dp/2dp=10N/s

Hence the speed of car will remain the same it won't affect the speedAs momentum from wall is more the ball will travel in opposite direction

Option C is correct

10 POINTS TO WHOEVER ANSWERS!
What energy steps are involved in the operation of a pair of AirPods? Be specific and include the different transfers that take place.

Answers

AirPods are connected to your iPhone and Apple Watch at the same time. Sound automatically switches between them. ... For example, while listening to music on your iPad, you answer a call on your iPhone. Your AirPods automatically switch from the music on your iPad to the phone call on your iPhone.

: (a) A cosmic-ray proton in interstellar space has an energy of 13. 0 MeV and executes a circular orbit having a radius equal to that of Mars' orbit around the Sun (2. 28 x 10¹¹ m). What is the magnetic field (in T) in that region of space? (b) What If? The cosmic ray proton enters our solar system where the interplanetary magnetic field has a magnitude of 5. 00 m and is perpendicular to the velocity of the proton. What is the radius (in m) of the proton's circular orbit in this field?

Answers

We can use the formula for the centripetal force experienced by a charged particle moving in a magnetic field and when the cosmic ray proton enters our solar system, it experiences an interplanetary magnetic field that is perpendicular to its velocity.

(a) To find the magnetic field in the region of space where the cosmic-ray proton is executing a circular orbit, we can use the formula for the centripetal force experienced by a charged particle moving in a magnetic field. The centripetal force is given by the equation:

F = qvB

Where:
F is the centripetal force,
q is the charge of the particle (in this case, the charge of a proton),
v is the velocity of the particle,
B is the magnetic field strength.

The centripetal force can also be expressed as:

F = mv²/r

Where:
m is the mass of the proton,
v is the velocity of the proton,
r is the radius of the circular orbit.

Equating the two expressions for the centripetal force, we have:

qvB = mv²/r

Rearranging the equation, we can solve for the magnetic field B:

B = mv/rq

Given the energy of the proton (13.0 MeV), we can use the relation between energy and velocity for a particle with rest mass m:

E = mc² = (γ - 1)mc²

Where:
E is the energy of the particle,
m is the rest mass of the particle,
c is the speed of light,
γ is the Lorentz factor.

The Lorentz factor can be expressed as:

γ = E/mc² + 1

Substituting the given energy and rest mass of the proton, we can calculate the Lorentz factor.

Now, we can substitute the values of m, v, and r into the equation for the magnetic field B and solve for B.

(b) When the cosmic ray proton enters our solar system, it experiences an interplanetary magnetic field that is perpendicular to its velocity. In this case, the proton will follow a helical path in the magnetic field.

To find the radius of the proton's circular orbit in this field, we can use the formula for the radius of a helical path in a magnetic field:

r = mv/|q|B

Where:
m is the mass of the proton,
v is the velocity of the proton,
|q| is the magnitude of the charge of the proton,
B is the magnitude of the magnetic field strength.

Substituting the given values of m, v, and B into the equation, we can calculate the radius of the proton's circular orbit in this field.

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A 0.58 kg mass is moving horizontally with a speed of 6.0 m/s when it strikes a vertical wall. The mass rebounds with a speed of 4.0 m/s. What is the magnitude of the change in linear momentum of the mass

Answers

Answer:

\(5.8\; {\rm kg\cdot m \cdot s^{-1}}\).

Explanation:

If the mass of an object is \(m\) and the velocity of that object is \(v\), the linear momentum of that object would be \(m\, v\).

Assume that the initial velocity of the mass is positive (\(6.0\; {\rm m\cdot s^{-1}}\).) However, the direction of the velocity is reversed after the impact. Thus, the sign of the new velocity of the object would be negative- the opposite of that of the initial velocity. The new velocity would be \((-4.0\; {\rm m\cdot s^{-1}})\).

Thus, the change in the velocity of the mass would be:

\(\begin{aligned}& (\text{Change in Velocity}) \\ =\; & (\text{Final Velocity}) - (\text{Initial Velocity}) \\ =\; & (-4.0\; {\rm m\cdot s^{-1}}) - (6.0\; {\rm m\cdot s^{-1}}) \\ =\; & (-10\; {\rm m\cdot s^{-1})\end{aligned}\).

The change in the linear momentum of the mass would be:

\(\begin{aligned} & \text{change in momentum} \\ =\; & (\text{mass}) \times (\text{change in velocity}) \\ =\; & 0.58\; {\rm kg} \times (-10\; {\rm m\cdot s^{-1}}) \\ =\; & (-5.8\; {\rm kg \cdot m \cdot s^{-1}})\end{aligned}\).

Thus, the magnitude of the change of the linear momentum would be \(5.8\; {\rm kg \cdot m \cdot s^{-1}}\).

Lightning produces a maximum air temperature on the order of 10⁴K , whereas a nuclear explosion produces a temperature on the order of 10⁷K . (a) Use Wien's displacement law to find the order of magnitude of the wavelength of the thermally produced photons radiated with greatest intensity by each of these sources.

Answers

The order of magnitude of the wavelength of the thermally produced photons radiated with the greatest intensity by a nuclear explosion is on the order of \(10^-^1^0 meters\).

The order of magnitude of the wavelength of the thermally produced photons radiated with the greatest intensity by lightning can be found using Wien's displacement law. This law states that the wavelength of maximum intensity is inversely proportional to the temperature.

Given that the temperature of lightning is on the order of \(10^4K\), we can calculate the wavelength as follows:

λ = b/T

where λ is the wavelength, b is Wien's constant (approximately \(2.898 x 10^-^3 mK\)), and T is the temperature in Kelvin.

Plugging in the values, we get:

\(\lambda = 2.898 x 10^-^3 / 10^4\)

\(= 2.898 x 10^-^7 meters\)

Therefore, the order of magnitude of the wavelength of the thermally produced photons radiated with the greatest intensity by lightning is on the order of \(10^-^7 meters\).

For a nuclear explosion with a temperature on the order of  \(10^7K\), we follow the same steps and find:

\(\lambda  = 2.898 x 10^-^3 / 10^7\)

\(= 2.898 x 10^-^1^0 meters\)

Thus, the order of magnitude of the wavelength of the thermally produced photons radiated with the greatest intensity by a nuclear explosion is on the order of 10⁻¹⁰ meters.

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A 5,000 kg truck moving at 8 m/s has the same momentum as a 2,500 kg car. What is the velocity of
the car?

Answers

Answer:

16m/s

Explanation:

Mv=mv

5000x8=2500x v

V=5000x8/2500

V=40000/2500

= 16m/s

Newton’s second law relates an object’s acceleration to its mass and the net force acting on it. Does newton’s second law apply to a situation in which there is no net force? select the best explanation.

Answers

Newton's second law does apply to a situation in which there is no net force as having a net force of zero will produce an acceleration having 0.  

According to Newton's second law, the acceleration of an object depends upon two variables- the mass of the object and the net force acting on the object. Here, the acceleration of an object is directly proportional to the force acting on it and inversely proportional to the mass of that object. The net force applied is equal to the sum of all the forces acting on an object.

In a situation where the net force applied is zero, the object having a mass would have zero acceleration. This means that the object would have zero velocity and would be constant.

This depicts that Newton's second law can be applied to every situation where there is a net force applied, or not. Even if there is no net force, this law can still be applied.

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examples of different types of energy that are PE

Answers

\(\quad \quad\quad \huge \underline{\tt{ANSWER᭄}}\)

\( \quad\quad\quad\quad\)

\( \blue{ \star}\)Magnetic Energy :

Compass

Hard disk drives

\( \blue{ \star}\)Gravitational Energy :

Writing with pen on paper

Ripe fruit before it falls

\( \blue{ \star}\)Nuclear Energy :

Electricity

Nuclear Weapons

\( \blue{ \star}\)Thermal energy :

Baking in an oven

A cup of hot chocolate

A 5,560 kg lander (weight does not include fuel) must travel to the surface of the moon and back, requiring a delta-v (change in speed) of 18.7 kilometers per second. If the specific impulse (exhaust velocity, ve) of the rocket is 4.13 kilometers per second, how much fuel will be necessary according to the Rocket Equation?

Answers

A 5,560 kg lander (weight does not include fuel) must travel to the surface of the moon and back, requiring a delta-v (change in speed) of 18.7 kilometers per second. If the specific impulse (exhaust velocity, ve) of the rocket is 4.13 kilometers per second, approximately 4,683 kg of fuel will be necessary for the lander to travel to the surface of the moon and back.

According to the Rocket Equation, the amount of fuel necessary can be calculated using the formula:

m_fuel = m0 × (1 - e^(-Δv / ve)),

where:

m_fuel is the mass of the fuel required,

m0 is the initial total mass of the lander (including fuel),

Δv is the change in velocity (delta-v) required for the mission,

ve is the exhaust velocity (specific impulse) of the rocket.

In this case, we have:

m0 = 5,560 kg,

Δv = 18.7 km/s,

ve = 4.13 km/s.

Substituting the given values into the equation, we can calculate the mass of the fuel required:

m_fuel = 5,560 kg × (1 - e^(-18.7 km/s / 4.13 km/s)).

Using a calculator or a mathematical software, we find:

m_fuel ≈ 4,683 kg.

Therefore, approximately 4,683 kg of fuel will be necessary for the lander to travel to the surface of the moon and back, considering the given values for the initial mass, delta-v, and specific impulse.

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Does volume alone determine weather an object will float or sink? I believe its no. I just need to make sure.

Answers

Answer:

No

Explanation:

Density determines whether an object sinks or float. if the object is less dense than the medium in which it was submerged, it will float. for example, when you pour oil in water, it floats because water is denser than oil.

The sun is the ultimate source of energy for nearly all of life. plants and certain other organisms convert solar energy into ____________ energy through the process of ____________ .

Answers

The sun is the ultimate source of energy for nearly all of life. plants and certain other organisms convert solar energy into chemical energy through the process of photosynthesis.

Photosynthesis is the process to convert light energy into chemical energy to be used for cellular purposes. Plants and other microorganisms use photosynthesis to get nutrients using sunlight, carbon dioxide and water.

The photosynthesis reactions is represented as follows

Carbon dioxide + water (sunlight)→ glucose + oxygen

Photosynthesis occur in the chloroplasts of the plants or algae. They are located within mesophyll cells of leaves.

The photosynthesis pigments include Chlorophyll a, Chlorophyll b, Xanthophylls, and Carotenoids.

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Please solve this question Women are less likely to get certain jobs in sports and sport organizations because being qualified for the jobs is 'A Photograph' written by Shirley Toulson explores the significance of memories based on the mother daughter relationship while 'My Mother at sixty-six' is a commentary on the setting in of decay with progress of ageing. write a set of 12 exchanges between Kamala Das and the daughter in the poem, 'A Photograph highlighting the subtleties of human emotions. So...Audie, here you go! P.S. Super Mario 3D World + Bowsers Fury is coming, also Super Mario Maker 2 is my most played game. You must evaluate a proposal to buy a new milling machine. The purchase price of the mulling machine, including shipping and installation coses, is $139,000, and the equpment wall be fully depreciated at the time of purchase. The machine would be sold after 3 years for $82,000. The machine would require a $3,500 increase in net operating workang capital (increased inventory less increased accounts payable). There woild be no effect on revenues, but pretax labor costs would decline by $51,000 per year. The marginal tax rate is 25%, and the WACC is 12%. Aso, the firm spent $4,500 last year investigating the feosibility of using the machine. a. How should the 54,500 spent last year be handed? 1. Last year's expenditure is considered a sunk cost and does not represent an incremental cash flow, Hence, it should not be included in the analysis. 11. The cost of research is an incremental cash flow and should be included in the analysis. III. Only the tax effect of the research expenses should be included in the analysis. IV. Last year's expenditure should be treated as a terminal cash flow and dealt with at the end of the project's lefe. Hence, it should not be induded in the inital investment outlay. V. Last year's expenditure is considered an opportunity cost and does not represent an incremental cashiflow. Hence, it should not be induded in the analysis. Company B paid dividend in 2021 of 1,7 USD, in line with the expected dividend growth of 5% each year. Company C has announced it expects to pay a 2,1 dividend to common shareholders in 2022, and its cost of equity (CAPM) is of 8.9%. (Companys C paid dividend in 2020 of 2). Both companies are from the automotive sector where the expected rate of return of the market is of 6%. a. Which company has the most expensive share price? b. Would you rather buy stocks of Company B or C considering that Company B stock is trading at 27 and Company C stock at 99 For the given equation find the value a, b and C determine the direction in which the parabola opens and determine the Y intercept. decide which table best illustrates the values for the equation Y= 8x^2 - 8 the process of change in the use of an inner-city house from a single-family owners occupancy to multiple apartment units to eventual abandonment is 1. If i made12cookies in 30 minutes how long would it take to make 60 cookie. # helpp meee Please answer this correctly as soon as possible Which statement best completes the diagram?Cause?EffectAshoka decides topromote Buddhist idealsin the Mauryan Empire.A. Ashoka the Great meets with Alexander the Great.B. Ashoka the Great leads an extremely bloody battle.C. Ashoka the Great is defeated by Buddhist armies.D. Ashoka the Great sends representatives to foreign countries.SUBMIT A bag contains 2 orange balls and 3 blue balls.Two balls are selected without putting the first one back.What is the probability they are both orange?A bag with 2 orange balls and 3 blue balls. What Buddhist beliefs appealed to millions of Chinese peasants? Example 3: 1.00L of a gas is at Standard Pressure of 1.0atm, what is the new pressure of the gas if thevolume decreases to 0.473L On a coordinate plane, parallelogram A B C D has points (3, 6), (6, 5), (5, 1), and (2, 2).What is the area of parallelogram ABCD?13 square units14 square units15 square units A solid figure is shown. It is a rectangular prism.3 cm5 cm9 cmWhat is the volume of the figure?O A 17 cmOB. 27 cmOC. 45 cmOD. 135 cmOE 174 cm what is the speed of an object traveling 200 meters in 2 hours 4) Order the following values fromleast to greatest:A. 14, 18, 4 It is evident that the concept of knowledge cannot be observed as____. O being both a thing and a process O having both intrinsic and unconditional value O being dependent upon context O having behaviors and properties that are different from commodities and resources stop walking on eggshells: taking your life back when someone you care about has borderline personality disorder audio book download