Calculate the acceleration for the following data: Initial Velocity=20 m/s, Final
Velocity: 60 m/s, Time: 10 s

Answers

Answer 1

Answer:

a = 3 [m/s²]

Explanation:

To solve this problem we must use the following equation of kinematics.

\(v_{f} =v_{o} +a*t\)

where:

Vf = final velocity = 60 [m/s]

Vo = initial velocity = 20 [m/s]

a = acceleration [m/s²]

t = time = 10 [s]

Now replacing these values we have:

60 = 20 + (a*10)

60 - 20 = 10*a

30 = 10*a

a = 3 [m/s²]


Related Questions

An element carries a_____charge

Answers

Answer:

The charge of an element is equal to the number of protons minus the number of electrons. The number of protons is equal to the atomic number of the element given in the periodic table. The number of electrons is equal to the atomic number minus the charge of the atom.

Explanation:

Answer:

hydrogen sometimes has a charge of zero or (less commonly) -1. Although noble gas atoms almost always carry a charge of zero, these elements do form compounds, which means they can gain or lose electrons and carry a charge.

Explanation:

why are fuels from crude oil so widely used for transportation

Answers

because it was a better oil

An NFL wide receiver prospect runs 40 m in 4.5 seconds. What is the average speed of the wide receiver (m/s)?

Answers

Answer:

8.89 m/s

Explanation:

rate = distance/time

40m/4.5 sec = 8.8888889 m/s

in an electrolytic cell, if current flows for 36 seconds from a source that delivers 250 ma, how many moles of electrons were passed?

Answers

Approximately 0.000092 moles of electrons were passed through the electrolytic cell.

To calculate the number of moles of electrons passed in an electrolytic cell, you need to use Faraday's constant and the equation relating current (I), time (t), and moles of electrons (n).

Faraday's constant (F) is the amount of electric charge carried by one mole of electrons, which is approximately 96,485 coulombs per mole.

The equation to calculate the moles of electrons (n) is:

n = (I * t) / F

Given:

Current (I) = 250 mA = 0.250 A

Time (t) = 36 seconds

Plugging the values into the equation:

n = (0.250 A * 36 s) / 96,485 C/mol

Calculating the result:

n ≈ 0.000092 moles of electrons

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When do a 1000kg car and a 2000kg truck have the same momentum

Answers

Answer:A 1000 kg car and a 2000 kg truck have the same momentum when the car is travelling at twice the speed of the truck, i.e. 38 m/s.

When a 1000kg car and a 2000kg truck have the same momentum, the speed of 1000 kg car is twice that of the  2000kg truck.

What is momentum?

The product of a particle's mass and velocity is its momentum. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.

As  a 1000kg car and a 2000kg truck have the same momentum,

1000 kg × v₁ = 2000 kg × v₂

v₁ = 2v₂

Hence, the speed of 1000 kg car is twice that of the  2000kg truck.

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5. Which of the following is NOT a course goal?
For students to understand fitness principles
For students to establish a habit of physical activity
For students to do nothing
For students to enhance their level of physical fitness

Answers

Answer:

for students to do nothing

Explanation:

because doing nothing is not a course goal

For stars to form, the temperature of the hydrogen in a nebula must be more than 14 million Kelvin. How did gravitational attraction help achieve these high temperatures?

Answers

Answer:

Gravitational attraction caused the volume of the nebula to decrease, which raised the particle motion and temperature at the center of the nebula to the necessary 14 million Kelvin.

Explanation:

Plato/edmentum sample answer

Gravitational attraction caused the volume of the nebula to decrease, which raised the particle motion and temperature at the center of the nebula to the necessary 14 million Kelvin.

What is Gravitational attraction ?

Newton's law of universal gravitation is usually stated as that every particle attracts every other particle in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.[note 1] The publication of the theory has become known as the "first great unification", as it marked the unification of the previously described phenomena of gravity on Earth with known astronomical behaviors.

This is a general physical law derived from empirical observations by what Isaac Newton called inductive reasoning. It is a part of classical mechanics and was formulated in Newton's work Philosophiæ Naturalis Principia Mathematica ("the Principia"), first published on 5 July 1687. When Newton presented Book 1 of the unpublished text in April 1686 to the Royal Society, Robert Hooke made a claim that Newton had obtained the inverse square law from him.

In today's language, the law states that every point mass attracts every other point mass by a force acting along the line intersecting the two points. The force is proportional to the product of the two masses, and inversely proportional to the square of the distance between them.

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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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What is the stretch when you pull with a force of 25 N on a spring with a spring constant of 8 N/m? *
0.06 m
1.28 m
3.13 m
0.12 m

Answers

Hooke's Law

\(\tt F=k.\Delta x\)

k = spring constant

x = stretch

F = force

Input the value

\(\tt \Delta x=\dfrac{F}{k}=\dfrac{25}{8}=3.125\rightarrow 3.13\:m\)

Once the crate is sliding, how hard do you push to keep it moving at constant velocity?.

Answers

You push with a force that is just equal to the kinetic or sliding friction.

The roughness of a surface where an item travels or slides can create frictional forces. In daily life, frictional forces may be incredibly useful. For instance, in order to prevent automobiles from sliding, especially on rainy days when the roads are wet, roads must have friction with the wheels of the vehicles.In situations where an object is being impacted by uneven forces, Newton's second law of motion applies. The second rule states that an object's rate of acceleration depends on both its mass and the net force acting on it. The acceleration of an item is inversely proportional to its mass and directly proportional to the net force acting on it. As more force is applied to an item, its acceleration rises. A rise in an object's mass results in a decreased acceleration.

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A long straight conductor carries a current of 100 A. At what distance from the axis is the magnetic field caused by the current equal in magnitude to earth's magnetic field which is 0.5 E-4 T
A) 0.4 m
B) 25 m
C) 2.5 m
D) 4.0 m

Answers

The correct answer is not provided in the given options A, B, C, or D. The distance from the axis at which the magnetic field caused by the current is equal in magnitude to Earth's magnetic field is 125 meters.

To find the distance from the conductor at which the magnetic field caused by the current is equal to the Earth's magnetic field, we'll use the formula for the magnetic field around a long straight conductor:

\(B = (de * I) / (2 * \pi  * r)\)

Where B is the magnetic field, μ₀ is the permeability of free space (\(4\pi  * 10^-7 Tm/A\)), I is the current, and r is the distance from the conductor. We want to find the value of r when B equals Earth's magnetic field (0.5 x 10⁻⁴ T).

\(0.5 * 10^-4 T = (4\pi  * 10^-7 Tm/A * 100 A) / (2 * \pi  * r)\)
To solve for r, we can first simplify the equation by cancelling the π terms:

\(0.5 * 10^-4 T = (4 * 10^-7 Tm/A * 100 A) / (2 * r)\)

Now, cancel out the A (Amperes) terms:

\(0.5 * 10^-4 T = (4 * 10^-7 Tm) / (2 * r)\)

Divide both sides by 4 x 10⁻⁷ T:

\(r = (0.5 * 10^-4 T) / (4 * 10^-7 T)\)

Simplify the equation:

r = \(0.5 * 10^3 m / 4\)
r = 500 / 4
r = 125

So, the correct answer is not provided in the given options A, B, C, or D. The distance from the axis at which the magnetic field caused by the current is equal in magnitude to Earth's magnetic field is 125 meters.

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the ultracentrifuge is an important tool for separating and analyzing proteins in biological research. because of the enormous centripetal accelerations that can be achieved, the apparatus must be carefully balanced so that each sample is matched by another on the opposite side of the rotor shaft. failure to do so is a costly mistake. any difference in mass of the opposing samples will cause a net force in the horizontal plane on the shaft of the rotor. suppose that a scientist makes a slight error in sample preparation, and one sample has a mass 10 mg greater than the opposing sample.

Answers

The net force is calculated to be 6.44* 10⁻⁴ N.

Generally, the net force is a force that come up due to the unequal centripetal force and it is mathematically represented as

Fnet = Δ Fcen

and the difference in centripetal force Δ Fcen is mathematically represented as

Δ Fcen = Δm* rω²

Given that, mass = 10 mg = 10* 10⁻³ g

Radius = 12 cm = 0.12 m

70,000 rpm = 70,000* [2π rad/1 rev](1min/60s) = 7326.7 rad/s

Fnet = Δ Fcen = 10* 10⁻³ * 0.12* 7326.7 = 6.44* 10⁻⁴ N

Thus, the net force is 6.44* 10⁻⁴ N.

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Sketch the vanation of frequency with wavelength given that speed of the wave remains constant ​

Answers

Wave variables

In the section on motion in two dimensions, we defined the phrases below to describe harmonic motion:

The amount by which a moving object deviates from its equilibrium position is known as its amplitude.

The number of events per unit of time is known as frequency.

Period is how long an oscillation lasts.

The underlying relevance of each of these factors for waves is the same. But it's helpful to express the ideas in a way that expressly mentions waves: Amplitude is the distance a wave travels between its resting state and its maximum movement.

The quantity of waves that pass by a specific location each second is known as its frequency.

Period is the length of time a wave cycle lasts.

In addition to their wave length and wave velocity, waves are determined by amplitude, frequency, and period.

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You are riding a bicycle. If you apply a forward force of 125 n, and you and the bicycle have a combined mass of 82 kg, what will be the forward acceleration of the bicycle? (assume there is no friction. ).

Answers

The forward acceleration of the bicycle will be 1.52 m/s²

Given parameters:

Force  = 125N

Mass combined = 82kg

Acceleration of the bicycle  = ?

From Newton second law of motion suggests that:

Force = mass x acceleration

 Acceleration =  force/mass = 125/82 = 1.52 m/s²

What is acceleration?

In mechanics, acceleration is the rate of change of an object's velocity with respect to time. Acceleration is a vector quantity (as long as it has magnitude and direction). The direction of an object's acceleration is given by the direction of the net force acting on that object. As described in Newton's second law , the magnitude of an object's acceleration is the combined effect of two sources.

The mass of this object is inversely proportional to the mass of the object, depending on the material from which it is made.

Therefore, The forward acceleration of the bicycle will be 1.52 m/s².

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HELP PLEASE QUICK QUICK QUICK I’ll give BRAINLIEST

HELP PLEASE QUICK QUICK QUICK Ill give BRAINLIEST

Answers

Answer:

Dude this is based on some egg you have

Explanation:

what are the example of ultraviolet rays

Answers

Ultraviolet (UV) rays are a type of electromagnetic radiation that are invisible to the human eye. They have shorter wavelengths than visible light and are divided into three categories: UVA, UVB, and UVC. Examples of sources of ultraviolet rays include:

1. Sunlight: The sun is the primary natural source of UV rays. UV radiation from the sun is responsible for causing sunburn, skin aging, and an increased risk of skin cancer.

2. Tanning beds: Tanning beds and sun lamps emit UVA and UVB radiation, which can also cause skin damage and increase the risk of skin cancer.

3. Fluorescent lights: Some types of fluorescent lights emit small amounts of UV radiation.

4. Welding torches: Welding torches emit high levels of UV radiation, which can cause eye damage and skin burns if protective gear is not worn.

5. Germicidal lamps: These lamps are used to disinfect surfaces and air, but can also emit UVC radiation, which is harmful to living organisms and can cause skin and eye damage.

How much work is done on a pumpkin with a force of 24 newtons when you lift it 15 meters? *

Answers

Answer:

I'm not that busy solving but I'll tell you the formula that Force x distance is equal to work done

The work is done on a pumpkin when we lift it by 15 m with 24 N is 360 J

What is Work ?

Work done is the amount energy gained (loosed) in bringing the body from initial position to final position. It is denoted by W and its SI unit is joule(J).  

i.e. Work(W) is force(F) times displacement(s).

W=F× s

When a body is displaced with 1 newton of force by 1 m, then we can say that work has been done on the body by 1 joule.

Writing for it's dimension,

W=F× s

Force has dimension [L¹ M¹ T²]

Displacement has dimension [L¹]

multiplying both the dimensions Force and Displacement  

we get,

dimension of Work [L² M¹ T²]

According to newton's second law of motion,

Force(F) is mass(M) times acceleration(a).

i.e. F=ma

Given,

Force = 24 N

Displacement = 15 m

W=F.s= 24*15 = 360 J

Hence work done on pumpkin is 360 J

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20V Calculate: Total resistance from the given diagram. Fig:(a) 4W 12v 6W Fig:(b) 6W 6W 12v​

Answers

Answer:

please help

Explanation:

please help me please i need it asap rockyy

please help me please i need it asap rockyy

Answers

Speed ( units of meter/second or cm/second) = distance ( units of meter or cm)/time (units of second).

Distance ( unit of meter) = speed( unit of meter/second) × time (unit of second).

What is speed?

Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

Now speed = distance/time

and distance = speed × time.

Now in unit form:

speed ( units of meter/second or cm/second) = distance ( units of meter or cm)/time (units of second).

And distance ( unit of meter) = speed( unit of meter/second) × time (unit of second).

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In a student laboratory exercise, the wavelength of a 42,300 Hz ultrasound wave is measured to be 0.811 cm. Find the air temperature (in K).

Answers

According to the question the air temperature is 296.6 K.

What is temperature?

Temperature is a physical property of matter that quantifies the common notions of hot and cold. It is the measure of the average kinetic energy (movement) of the particles that make up a substance. Temperature is measured in various scales, with the most common being Celsius (°C), Fahrenheit (°F), and Kelvin (K).

The speed of sound in air is given by the equation:
v = 331.3 + 0.606T
where v is the speed of sound in m/s and T is the temperature in K.
We can rearrange this equation to find the temperature:
T = (v - 331.3) / 0.606
Since the wavelength of the ultrasound wave is given in cm, we need to convert it to m:
λ = 0.811 cm = 0.0081 m
The frequency of a wave is given by the equation:
f = v/λ
We can rearrange this equation to find the speed of sound:
v = fλ
Substituting in the given values:
v = (42300 Hz)(0.0081 m)
v = 341.3 m/s
Finally, we can substitute this value of v into the equation for temperature:
T = (341.3 - 331.3) / 0.606
T = 296.6 K

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a man with mass 81 kg lies on the floor. what is the normal force on the man?

Answers

Answer:

Forces come in pairs, so the force of gravity (9.8 N) with the mans weight (794N) on the earth is counteracted with the normal force ( the force of the earth back on the man) which is the same

Explanation:

Forces are available in pairs, so the force of gravity (nine.8 N) with the man's weight (794N) on the planet is counteracted with the everyday force ( the pressure of the earth again on the man) that's identical.

What is the gravitational force?

Gravitational force is a pressure that draws any items with mass. We name the gravitational force appealing as it constantly attempts to tug loads collectively, it never pushes them apart. In reality, every item, together with you, is pulling on each other objects inside the complete universe.

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the glass core of an optical fiber has an index of refraction 1.60. the index of refraction of the cladding is 1.43. you may want to review (pages 967 - 971) . part a what is the maximum angle a light ray can make with the wall of the core if it is to remain inside the fiber?

Answers

We can use Snell's law. Snell's law relates the angles and indices of refraction of light as it passes through the interface between two media. Therefore, the maximum angle a light ray can make with the wall of the core, while remaining inside the fiber, is approximately 47.1 degrees.

Snell's law can be written as:

n₁ ₓ sin(Θ₁) = n₂ ₓ sin(Θ₂)

In this case, we want to find the maximum angle of incidence, which corresponds to the case where the angle of refraction (Θ₁) is 90 degrees. This is the angle at which the light ray grazes the wall of the core.

When Θ₁ is 90 degrees, sin(Θ₂) becomes 1, and Snell's law becomes:

n₁ ₓ sin(Θ₁) = n₂

Rearranging the equation, we have:

sin(Θ₁) = n₂ / n₁

Taking the inverse sine (or arcsine) of both sides, we get:

Θ₁ = sin⁻¹(n₂ / n₁)

In this case, n₁ is the refractive index of the core (1.60) and n₁ is the refractive index of the cladding (1.43). Substituting these values into the equation, we have:

Θ1 = sin(1.43 / 1.60)

Using a calculator, the value of theta1 is approximately 47.1 degrees.

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Two students pull on the same box at the same time, yet there is no net force on the box. How is that possible

Answers

When two students pull on the same box at the same time, yet there is no net force on the box, it is possible if the two forces that are being applied are of equal magnitude and are acting in opposite directions.

In such a case, the forces will cancel each other out, and there will be no net force acting on the box. Net force is the sum of all forces that are acting on an object. If two forces act on an object in opposite directions, the net force acting on the object is zero.

This means that the object will not move in any direction and will remain stationary, as there is no force to push it forward or pull it back. In the case of two students pulling a box, if they pull with equal force, but in opposite directions, the box will remain stationary.

This is because the two forces cancel each other out. If the force applied by one student is greater than the force applied by the other student, then there will be a net force acting on the box, and the box will move in the direction of the greater force.

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A film with maximum contrast is required. The original technique is: 80 kV; 20 mAs; all other factors being equal. In order to enhance the contrast, the new technique should be: O 70 kV; 15 mAs O 70 kV; 30 mAs O 80 kV; 15 mAs O 60 kV; 60 mAs

Answers

The correct option for maximizing contrast is 70 kV and 15 mAs. A film with maximum contrast requires a new technique that involves the reduction of kV and mAs parameters. The new technique should be 70 kV and 15 mAs.

Radiography is a technique that enables the creation of medical images of the human body, using an X-ray beam. X-rays are an example of ionizing radiation, and their interaction with the tissues in the body results in the formation of an image. Contrast is the difference in tone between adjacent areas in the image, and it is essential to obtain high contrast in radiography, to ensure the visualization of the structures of interest and to make it possible to detect abnormalities.

Maximizing contrast is a common technique used in radiography, and it involves the adjustment of parameters such as kV, mAs, and exposure time. A high-contrast image can be achieved by reducing kV and mAs and increasing exposure time. The kV and mAs settings are the most important variables to adjust to enhance contrast. A high-kV setting will result in a low-contrast image, while a low-kV setting will produce a high-contrast image.In the given scenario, the original technique is 80 kV and 20 mAs, and all other factors are equal. To enhance the contrast, the new technique should be a combination of reduced kV and mAs. The possible options for a new technique are:

70 kV and 15 mAs70 kV and 30 mAs80 kV and 15 mAs60 kV and 60 mAs

The best option for maximizing contrast is the first option, which is 70 kV and 15 mAs. This is because the kV value has been reduced by 10, and the mAs has been reduced by 5, which will result in an increase in contrast.

The new technique to enhance contrast requires a reduction in kV and m As parameters, and the best option for maximizing contrast is 70 kV and 15 mAs.

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is jewelry gold a compound or mixture?

Answers

I think it’s a mixture.

Answer:

jewelry gold is a mixture.

Explanation:

it contains more than one element and its composition varies.

A rock is dropped from a height of 2.7m. How fast is it going when it hits the ground?
PLEASE HELP ME!!!

Answers

Use the formula Vf^2 = Vi^2 + 2a(d)


a holistic overview of underground hydrogen storage: influencing factors, current understanding, and outlook raza

Answers

a holistic overview of underground hydrogen storage is all three.

What is the best way to store hydrogen?

Physically, hydrogen can be kept as either a gas or a liquid. Usually, high-pressure tanks are needed for gas storage (5000–10,000 psi tank pressure). Since hydrogen's boiling point at one atmosphere of pressure is -252.8°C, storage of hydrogen as a liquid necessitates cryogenic temperatures.

Method to store hydrogen :

There are different ways and ways of storing hydrogen: 1) high-pressure gas cylinders (up to 800 bar), 2) cryogenic tanks with liquid hydrogen at 21 K, 3) hydrogen adsorbed on materials with a large specific surface area (at T100 K), and 4) absorbed on interstitial sites in a host metal (at ambient pressure).

What is the purpose of hydrogen storage?

In applications such as fixed power, portable power, and transportation, hydrogen storage is a crucial enabling technology for the development of hydrogen and fuel cell technologies.

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consider the simulation. if a projectile is launched on level ground, what launch angle maximizes the range of the projectile?

Answers

If a projectile is launched on level ground without considering air resistance, the launch angle that maximizes the range is 45 degrees.

To maximize the range of a projectile launched on level ground, the optimal launch angle is 45 degrees. This is known as the optimal angle for maximum range.

When a projectile is launched at this angle, it achieves the best balance between the vertical and horizontal components of its motion. The vertical component allows the projectile to reach its maximum height, while the horizontal component determines the distance it travels. At 45 degrees, these components are equal, resulting in the longest range possible.

Launching at angles greater or smaller than 45 degrees will decrease the range due to the imbalanced vertical and horizontal components. Therefore, 45 degrees is the launch angle that maximizes the range of a projectile on level ground.

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Your car can brake with a deceleration of 6 m/s2. The car is initially going at 40 m/s.
a) How long will it take the car to come to a full stop?

b) If the car is 5 meters long, about how many car lengths should be kept between you and the car in front of you (assume the car in front of you comes to a stop immediately).

Answers

The time of motion of the car before coming to a full stop is 6.67 s.

The car length that should be kept between you and the car is 138.33 m.

The given parameters;

acceleration of the car, a = - 6m/s²initial velocity of the car, u = 40 m/s

The time of motion of the car before coming to a full stop is calculated as follows;

\(v = u + at\\\\when \ the \ car \ stops , \ v = 0\\\\0 = u + at\\\\0 = 40 -6t\\\\6t = 40\\\\t = \frac{40}{6} = 6.67 \ s\)

The distance traveled by the car before coming to a full stop;

\(v^2 = u^2 + 2as\\\\0 = u^2 + 2as\\\\0 = 40^2 -2(6)s\\\\0 = 40^2- 12s\\\\12s = 1600\\\\s = \frac{1600}{12} \\\\s = 133.33 \ m\)

The car length that should be kept between you and the car is calculated as;

car length in front of you = 5 m + 133.33 m = 138.33 m

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physics and chemistry is the study of what? ​

Answers

physical science deals with the study of physics chemistry

Explanation:

yan lng po Alam ko

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George purchased a new car with the special 2.9% financing if the cars price was 19999 and he financed it for five years find his monthly payment A 4.00-kg mass and a 9.00-kg mass are being held at rest against a compressed spring on a frictionless surface. When the masses are released, the 4.00-kg mass moves to the east with a speed of 2.00 m/s. What is the velocity of the 9.00-kg mass after the masses are released? A) 0.500 m/s east B) 0.500 m/s west C) 4.50 m/s west D) 0.888 m/s west E) 2.00 m/s west A series circuit has three resistors each on different paths and connected to a 120 v battery. Resistor 1 has a resistance of 5. 0 ohms. Resistor 2 has a resistor of 7. 5 ohms and resistor 3 has a resistance of 9. 5 ohms Need help quick will give brainliest How do I write a Major Electron Level Notation in the ground state?? a review article that contains statistical analysis of the outcomes from quantitative studies is an example of a: Any grammar errors?? HELP ME What is the answer for this the organelle responsible for energy production Write a summary about Philosophy of region Word count: 200 Complete each statement by choosing the correct answer from the drop-down menu.In someone with arteriosclerosis, the begin to harden.Carcinogens are particles that may causeDermatoplasty is a surgical repair of theThe auditory nerve is involved in the sense ofAn angiography is a radiographic imaging of For the monopolistic competition model, A) it takes collusion among firms into consideration B) it takes firms' strategic behavior into consideration. C) it takes both collusion and strategic behavior into consideration. D) it does not take strategic behavior into consideration. when landing after a spectacular somersault, a 25.0 kg gymnast decelerates by pushing straight down on the mat. calculate the force (in n) she must exert if her deceleration is 9.00 times the acceleration of gravity. (enter a number.) how did lenin and trotsky use brutality and terror to win the russian civil war? how are index minerals used in the study of metamorphic rocks? in this case, the supreme court upheld the practice of a prosecutor withdrawing a plea offer, claiming it was a mistake, and replacing it with a harsher plea offer. Given f(x)=4x^2 - 1 and g (x) = 2x- 1 , find each function 1. ( f+g )( x ) 2. ( fg ) ( x )3. ( f^n ) ( x ) Consider the market for a given piece of hardware aphotocopier of brand x, for example that needs after-saleservicing. Suppose that there is free entry into this after market. Servicing photocopiers implies a fixed cost of F and a marginal cost of where x is the number of units serviced. Total demand for servicing is given by D = S(a p), where p is price and S the number of photocopier owners. Finally, suppose that firms in the after market compete a` la Cournot.Find the equilibrium number of firms in the after-market.Find the consumer surplus in the aftermarket. Write the correct informal command and direct/indirect object pronouns.Preparar unadd galletas A book club wants to raise $5,000 during a dinner fundraiser. The club members have sold 323 adult dinners at $10. 75 each. The cost of a child dinner is $5. 50. How many child dinners will they need to sell to reach their target amount? How many moles of H2SO4 are required to completely react with 7.20 mol of Al according to the balanced chemical reaction: 2Al(s) +3H2SO4(aq) Al2(SO4)3(aq) +3H2(g)