If a force vector has a magnitude of 4.76 newtons and points 55.4 degrees south of east, then what is its y-component?

Answers

Answer 1

The y-component of given force is 3.918 newtons.

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. A spring balance can be used to calculate the Force. The Newton is the SI unit of force.

The magnitude of force vector = 4.76 newtons.

The angle of direction = 55.4°

The y-component of force is = 4.76 sin55.4° newtons = 3.918 newtons.

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Related Questions

a bus traveling with a speed of 54 km/h has a kinetic energy of 2x10^6 j. what is the mass of the bus

Answers

Your answer is 2,000,000

Two cars bump going the same direction. Car A has a mass of 1000 kg car B has a mass of 500 kg. What is the speed of car A after the collision?

Answers

The speed of car A after collision, given that it has a mass of 1000 Kg and was initially moving with a speed of 6 m/s is 5 m/s

How do i determine the speed of car A after collision?

The law of conservation of linear momentum states that momentum before collision is equal to momentum after collision. This is given mathematically as:

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

Where

m₁ and m₂ are the masses of the two objects

u₁ and u₂ are the initial speeds of the two objects

v₁ and v₂ are the final speeds of the two objects

Now, we can determine the speed of car A after collision as illustrated below:

Mass of car A (m₁) = 1000 KgInitial speed of car A (u₁) = 6 m/sMass of car B (m₂) = 500 KgInitial speed of car B (u₂) = 2 m/sFinal speed of car B (v₂) = 4 m/sFinal speed of car A (v) = ?

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

(1000 × 6) + (500 × 2) = (1000 × v₁) + (500 × 4)

6000 + 1000 = 1000v₁ + 2000

7000 = 1000v₁ + 2000

Collect like terms

1000v₁ = 7000 - 2000

1000v₁ = 5000

Divide both sides by 1000

v₁ = 5000 / 1000

v₁ = 5 m/s

Thus, the speed of car A after collision is 5 m/s

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Complete question:

See attached photo

What is the atomic mass of the atom in the diagram below?


3
6
9
1

Answers

Simply said, an atom's entire mass is its atomic mass, which is commonly given in atomic mass units, or amu.

Where is atomic number on chart?The periodic table is divided into blocks for each element. These blocks have identifying letters and numbers. The atomic number, which appears at the very top, indicates how many protons make up an element's single atom.In electron dot diagrams, the valence electrons of an atom are represented by dots that are positioned all around the symbol of the element.The letter "A" is used to symbolise it. An atom's atomic number is equal to the quantity of protons in its nucleus or the quantity of electrons in an electrically neutral atom. The periodic system, in which the elements are grouped in order, uses the letter "Z" to signify the number of a chemical element.

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A ROCK hits the ground with a speed of a
20m/s find the height the rock has fallen.
from.

Answers

Explanation:

I need a surface, or a measure of time, the only data that is there is the average speed.

Answer: How fast is the rock going

Two objects attract each other with a gravitational force of 6.3 x 10∧5N. If they are 3.4 x 10∧3 meters away from each other and one object has a mass of 7.9 x10∧11 kg, what is the mass of the second object?

Answers

The mass of the second object is obtained as 1.4 * 10^11 Kg.

What is the mass of the second object?

We know that the mass of the object can be obtained when we use the formula of the Newtons law of universal gravitation and we have from the law that;

F = G m1m2/r^2

F = force on the objects

m1 and m2 = masses of the objects

G = gravitational constant

r = distance of separation

6.3 * 10^5 = 6.6 * 10^-11 * 7.9 * 10^11 * m2/(3.4 * 10^3)^2

6.3 * 10^5 = 52.14m2/11.56 * 10^6

m2 = 6.3 * 10^5 * 11.56 * 10^6/52.14

m2 = 7.28 * 10^12/52.14

m2 = 1.4 * 10^11 Kg

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a cars gas tank contains 58.7kg of gasoline witch takes up 0.0814 m^3

Answers

The density of the Gasoline is 721.1302 kg/m3. This is the answer for the given question.

How do you figure out a gasoline cylinder's density?

100 cc of gasoline should be added to the cylinder before weighing it on the scale in grams. When the cylinder is filled with gasoline, deduct the cylinder's mass from the cylinder's overall mass. This is the gasoline's mass. To determine the density, divide this number by the volume, which is 100 ml. As an alternative, use a hydrometer.

What is gasoline?

Gasoline is a mixture of many different chemicals, including hydrogen and carbon (hydrocarbons). A typical gasoline blend contains about 150 hydrocarbons. Gasoline has a density of ρ = 700–800 kg/m3, while diesel fuel varies between ρ = 830–950 kg/m3.

Explanation of the above answer:

Given,

mass(m) = 58.7 kg

volume(V) = 0.0814 m3  

Formula for density = mass/volume

Density = 58.7 / 0.0814

Density = 721.1302 kg/m3.

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pt 1
Question 4 (1 point)
How much current would flow in a closed circuit that has a 9.0V
battery and 5.00 total resistance?
HELP PLEASE GIVING BRIANLESS

Answers

To calculate the current in a circuit, we can use Ohm's Law, which states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R). So, in this case, the current would be:

I = V / R

I = 9.0V / 5.00 ohms

I = 1.8 A

So, 1.8 A of current would flow in a closed circuit that has a 9.0V battery and 5.00 total resistance.

Why was it once believed that light must travel through a medium and could not propagate across empty space?

Answers

Answer:

maybe the lights went out

The amount of kinetic energy (KE) depends on the speed of a moving object.
True
False

Answers

Answer: True

Explanation: Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: K.E. = 1/2m x v2. Given that velocity (or speed) is part of the equation, we can say that speed is needed.

the most destructive category of tropical cyclone is

Answers

Answer:

Category five

Explanation:

Extremely dangerous with widespread destruction. A category five cyclone's strongest winds are VERY DESTRUCTIVE winds with typical gusts over open flat land of more than 280kph. These winds correspond to the highest category on the Beaufort scale, Beaufort 12

What is Newton's law ?​

Answers

Newton's movement equations relate an object's motion to the forces acting on it. The first law states that an object will not change its motion until a force has been applied to it. The second law states that an entity's force is calculated by dividing its mass with its velocity. The third law states that anytime two particles come into contact, they press against one another in an equal sized and counter clockwise orientation.

What alternative name would you give Newton's first law?

The capacity of an item to keep moving steadily while at rest is known as inertia. The first law, also known as the rule of inertia,.

Why does inertia occur?

The resistance a body or item exhibits to a change in its condition is the root cause of inertia of motion or stillness. A body at rest or moving will continue in that state up until and if it is forced by an outside force, according to the first law of motion.

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You weigh 780 N.

What would you weigh if the Earth were

seven times as massive as it is and its radius

were five times its present value?

Answer in units of N.

Answers

When the Earth becomes seven times as massive as it is and its radius becomes five times its present value, your new weight will be 218.4 N.

What is weight?

The weight of an object is the measure of the effect of acceleration due to gravity on the object.

The formula for the weight of an object is given as;

W = mg

where;

m is massg is acceleration due to gravity

Since mass is constant, the value of weight of an object will change when the value of acceleration due to gravity changes.

The formula for acceleration due to gravity is given as;

g = ( GM ) / ( R² )

where;

G is universal gravitation constantM is the mass of the EarthR is the radius of the Earth

If the Earth were seven times as massive as it is and its radius were five times its present value, the new acceleration due to gravity will be calculated as;

g' = ( G x 7M ) / (5R)²

g' = ( 7 / 25 ) ( GM / R² )

g' = 7/25 (g)

new weight = 7/25 x 780 N = 218.4 N

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How is electric force similar to gravitational force?

This is a multi-select question. Check all that apply.

Question 2 options:

a)

Both electrical and gravitational forces are proportional to the square of the distance between the items.


b)

Electric force is proportional to the product of the charges and gravitational force is proportional to the product of the mass of the objects.


c)

Both electrical and gravitational forces are inversely proportional to the square of the distance between the items.


d)

Both electrical and gravitational forces are inversely proportional to the distance between the items.


e)

Both forces decrease as distance increases.


f)

Electric force is inversely proportional to the product of the charges and gravitational force is inversely proportional to the product of the mass of the objects.


g)

Both electrical and gravitational forces are proportional to the the distance between the items.


h)

Both forces are about the same strength.


i)

Electric force is proportional to the sum of the charges and gravitational force is proportional to the sum of the mass of the objects.


j)

Both forces will attract as well as repel.


k)

Electric force is inversely proportional to the product of the charges and gravitational force is inversely proportional to the product of the mass of the objects.

Answers

Both forces are at work along the imaginary line that connects the objects. Both forces also possess proportionality constants. d) How do the strength of gravity and electric forces compare with one another

How is electric force similar to gravitational force?

Both forces are at work along the imaginary line that connects the objects. According to the inverse-square law, both forces are inversely dependent on the square root of the separation between the objects. Also, both forces have proportionality constants. The distance between the items and the relationship between electricity and gravity are inverse.

What parallels and differences exist between electrical and gravitational forces?

Each does their tasks between two others without making eye contact. However, the gravitational pull affects mass while the electric force just affects charge. Unlike electromagnetic currents, which can be both attractive and repellent, gravitational forces are only.

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Both forces are at work along the imaginary line that connects the objects. Both forces also possess proportionality constants. d) How do the strength of gravity and electric forces compare with one another

How is electric force similar to gravitational force?

Both forces are at work along the imaginary line that connects the objects. According to the inverse-square law, both forces are inversely dependent on the square root of the separation between the objects. Also, both forces have proportionality constants. The distance between the items and the relationship between electricity and gravity are inverse.

What parallels and differences exist between electrical and gravitational forces?

Each does their tasks between two others without making eye contact. However, the gravitational pull affects mass while the electric force just affects charge. Unlike electromagnetic currents, which can be both attractive and repellent, gravitational forces are only.

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A marble is at rest in the aisle of a train car. Qualitatively predict the displacememt of the marble relative to the smooth, horizontal floor of the car as the train enters and leaves a station.

I'm struggling on conceptualizing this because I feel like it should be at equilibrium in a train car system as per the frame of refs, but that's only if the external system is in constant motion... but this isn't. If someone has a great way to word it thank you so much!!!

Answers

A marble at rest on the floor of a train car is an object in motion relative to the train station. When the train is at rest in the station, the marble is at rest relative to the smooth, horizontal floor of the train car. However, as the train begins to move, the marble will also begin to move relative to the floor of the train car.

As the train enters the station and begins to accelerate, the marble will experience a force due to the acceleration of the train, which will cause the marble to move in the direction of the train's motion. This displacement of the marble relative to the floor of the train car will continue as the train moves through the station.

What is the motion  about?

When the train reaches a constant velocity, the marble will be at rest relative to the floor of the train car, and will stay at that position as long as the train maintains a constant velocity.

When the train begins to decelerate as it approaches the station, the marble will experience a force in the opposite direction of the train's motion, which will cause it to move in the opposite direction of the train's motion, and it will come to a rest on the floor of the train car once the train comes to a complete stop.

In all, the marble's displacement relative to the smooth, horizontal floor of the train car will be zero when the train is at rest, and will increase as the train moves through the station.

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An 88 kg fullback moving east with a speed of 5.0 m/s is tackled by a 97 kg opponent running west at 3.0 m/s, and the collision is perfectly inelastic. Calculate the following:
a. the velocity of the players just after the tackle
b. the decrease in kinetic energy during the collision

Answers

The speed of the players just after the collision is 0.81 m/s.

What is an inelastic collision?

An inelastic collision, as opposed to an elastic collision, is a collision in which there is no conservation of kinetic energy due to the action of internal friction.

Explanation of the above answer:

Given that the mass of the fullback is m = 88 kg

mass of the opponent, M = 97 kg

speed of the fullback, u = 5 m/s

speed of the opponent, U = 3 m/s

In an inelastic collision, the two bodies move together at the same speed and the total momentum of the system remains conserved.

Let the final speed be v, then by conserving the momentum we get:

mu - MU = (m + M)v

Since the opponent must be moving in the opposite direction to the fullback, therefore his momentum is -MU.

88×5 - 97×3 = (88 +97)v

149 = 185v

v = 0.81 m/s

So, both the players move with a speed of 0.81 m/s

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Write a formula that relates the Rankine scale to the Fahrenheit scale

Answers

The  formula that relates the Rankine scale to the Fahrenheit scale is:

°R = °F + 459.67.

What is Rankine scale?

The University of Glasgow engineer and scientist Macquorn Rankine proposed the Rankine scale in 1859. It is an absolute measure measuring thermodynamic temperature.

In engineering systems where heat calculations are performed using degrees Fahrenheit, the Rankine scale is still utilised.

°R is the abbreviation for degrees Rankine. Some publications refer to the unit as Rankine, omitting the degree symbol, by analogy with the SI unit, the kelvin.

The Rankine scale and the Fahrenheit scale are related as:  °R = °F + 459.67.

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Suppose a 3000 cm3 container holds 7.0 g of nitrogen gas at a pressure of 200 kPa. The gas can be heated at constant pressure if a piston moves outward to let the gas expand as it's heated. Alternatively, the gas can be heated at constant volume if the piston is locked in place to prevent expansion. How does the heat required for one of these processes compare to the heat required for the other process?

1. What is the starting temperature of the gas?
2. With the piston locked in place, the gas is heated until the pressure doubles. What is the final temperature?

Answers

1) The starting temperature of the gas is 288 K

b) When the pressure is doubled, the temperature is 576 K

What is the temperature?

We know that we have to use the ideal gas equation so as to be able to obtain the temperature of the starting of the gas and we know that;

Pressure = 200 kPa or 1.97 atm

Volume =  3000 cm3  or 3 L

Temperature = ?

Number of moles = mass/molar mass = 7 g/28 g/mol = 0.25 moles

Then we have;

PV = nRT

T = PV/nR

T =  1.97 * 3/0.25 * 0.082

T = 5.91/0.0205

T = 288 K

If the pressure doubles and we have;

P1/T1 = P2/T2

P1T2 = P2T1

T2 = 2(1.97) * 288/1.97

T2 = 576 K

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When a boxer recognizes that he/she will be hit by an opposing fist l, he/she rides the punch. Use physics to explain why

Answers

Answer:

Riding the punch means to lean into or move slightly towards the incoming punch, rather than trying to block or avoid it completely. This allows the boxer to absorb some of the impact and decrease the force of the punch.

Explanation:

In physics, force is defined as the rate at which energy is transferred. When a boxer is hit by a punch, the energy from the punch is transferred to their body, causing a force on their body. By moving in the same direction as the punch, the boxer reduces the force of the impact by decreasing the rate at which energy is transferred to their body. This is because the boxer's movement helps to dissipate the energy of the punch over a larger area, rather than allowing it to be concentrated in one spot. Additionally, the boxer's muscles can absorb some of the energy, further reducing the force of the impact. Overall, riding the punch is a way for the boxer to use physics to minimize the force of the punch and reduce the risk of injury.

If I add two forces with magnitudes 5N and 9N Which of the following could be resultant magnitude?

Answers

The values that could be the resultant magnitude of the two forces are 12 N and 7 N.

option C and E are the correct answers.

What is the resultant of the two forces?

The resultant of two forces can be obtained by applying Parallelogram law of vector addition.

R² = F₁² + F₂²  -  2(F₁F₂) x cosθ

where;

θ is the angle between the two forces, F₁ and F₂

When the angle between the two forces is 0⁰, the resultant force is calculated as;

R² = 5² + 9²  -  2(5 x 9) x cos0

R² = 16

R = √16

R = 4 N

When the angle between the two forces is 90⁰, the resultant force is calculated as;

R² = 5² + 9²  -  2(5 x 9) x cos(90)

R² = 106

R = √106

R = 10.29 N

When the angle between the two forces is 180⁰, the resultant force is calculated as;

R² = 5² + 9²  -  2(5 x 9) x cos(180)

R² = 196

R = √ 196

R = 14 N

Thus, the resultant force is between 4 N and 14 N. The resultant force must fall within this range, any value outside this range cannot be the resultant magnitude.

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Determine the radius of revolution if an object is spun at 8.4 m/s completing five revolutions every 3.3 seconds?

Answers

The radius of revolution of the object  is 88 cm.

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.

Speed of the object = 8.4 m/s

Total time taken for completing five revolution= 3.3 seconds

Let the radius of revaluation = r

So,  five revolution = 5 × perimeter of the circle

= 5 × 2πr

Then:

5 × 2πr = 8.4 × 3.3

r = 0.88 meter = 88 cm

Hence,  the radius of revolution is 88 cm.

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please help meeeeeee!!!

Answers

2.3 m/s the couch accelerate

What is newton's law of motion?Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. This tendency to resist changes in a state of motion is inertiaIt is called the law of inertia because it tells that every material body has a property by virtue of which it resists the change in its state of rest or in its state of motionWe all learned Newton's laws in high school: Objects in motion tend to stay in motion, force equals mass times acceleration, and for every action, there is an equal and opposite reaction

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017 (part 2 of 2) 10.0 points
Leaving the distance between the 170 kg and
the 515 kg masses fixed, at what distance from
the 515 kg mass (other than infinitely remote
ones) does the 78.3 kg mass experience a net
force of zero?
Answer in units of m.
018 10.0 points

Answers

The distance between the object of mass 170kg and the object of mass 515 kg is  0.671 d.The force due to gravitation is equal to zero for each of the masses.

What is meant by mass?

It is the most fundamental characteristic of matter and one of the fundamental quantities in physics.Mass is a term used to describe how much matter is there in a body. The kilogram is the SI unit of mass (kg).A body's mass is an inherent quality.Prior to the discovery of the atom and particle physics, it was widely considered to be tied to the amount of matter in a physical body.It was discovered that, despite having the same amount of matter in theory, different atoms and elementary particles have varied masses.There are various conceptions of mass in contemporary physics that are theoretically different but physically equivalent.

M1= 170kg

M2= 515kg

m = 78.3kg

The distance between M1 and M2 is said to be fixed , therefore no value should be given I.e it's a constant.

From the formula for gravitational force we have that

F = GMm/r^2

GmM1/(d-r)^2. = GmM2/r^2

where r is the distance between the 72.6 kg and 712kg

d is the distance between M1 and M2

Solving mathematically

r(√M1+√M2) = d√M2

r = d√M2/√M1 + √M2

d×13.03/ 26.69+13.03

d×26.68/39.72

r = 0.671d

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22. A 2500 Kg truck is moving at 32m / s and collides elastically with a 1500 kg car going 15 m/s, After the collision, the car is moving at - 3.2m / s How fast is the truck going after the collision?

Answers

The velocity of the truck with a weight of 2500kg after collision with the car is 42.92m/s.

What is the law of conservation of momentum?

The law of conservation of momentum states that when two or more bodies are present in an isolated system which are acting upon each other, then their total momentum remains constant before and after the collision until and unless an external force is applied to the system. Therefore, the momentum can neither be created nor destroyed.

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

where, m₁ is the mass of object 1 and m₂ is the mass of object 2,

u₁ and u₂ are the initial velocities or the velocity of object 1 and 2 before collision,

v₁ and v₂ are the final velocities or the velocity of object 1 and 2 after collision.

m₁ = 2500kg, u₁ = 32m/s

m₂ = 1500kg, u₂ = 15m/s, v₂ = -3.2m/s

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

2500 × 32 + 1500 × 15 = 2500 × v₁ + 1500 × -3.2

80,000 + 22500 = 2500v₁ - 4,800

107,300 = 2500v₁

v₁ = 107300/ 2500

v₁ = 42.92m/s

Therefore, the velocity of the truck after the collision with car is 42.92 meter per second.

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How fast are you going if you are in a car that has a mass of 3000kg and experiencing uniform circular motion created by a centripetal force of 65000N, if the radius of the circle is 10m?
A. 14.71m/s
B. 300 m/s
C. 32.47 m/s

Answers

The speed of the car is 14.71 m/s. Hence, option (B) is correct.

What is centripetal force?

A force that causes a body to follow a curved path is known as a centripetal force. It always moves in a direction that is the opposite of the body's velocity and in the direction of the immediate center of curvature of the path.

Mass of the car= 3000 kg

Speed of the car = ? m/s.

Radius of the circle = 10 meter

Hence,  the centripetal force is = mv²/r

65000= (3000 × v²)/10

v² = 216.67

v = 14.71

Hence, The speed of the car is 14.71 m/s.

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Two objects of equal mass are floating in space. They are 20 meters apart and have a gravitational force of 9.8 x 10-11 Newtons. What mass are each of the objects?

Answers

The mass of the object that is unknown here is 24.4  Kg .

What is the mass of the objects?

We know that the forces that we find on the surface of the earth are all held together by the force of gravity that is acting on the objects. The gravitational force on the objects can be obtained by the use of the formula;

F = Gm1m2/r^2

F = force on the objects

m1 and m2 = gravitational force of the objects

G = gravitational constant

r = distance of separation

9.8 x 10^-11 = 6.6 * 10^-11 * m^2/(20)^2

m = masses of the equal objects

Then;

m^2 = 9.8 x 10^-11  * (20)^2/6.6 * 10^-11

m =24.4  Kg

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ThinkingCritical Thinking 5. Infer Can you use the equation to the left to calculate centripetal acceleration? Explain your answer.

Answers

That acceleration is the rate at which velocity changes. Speed in a certain direction is known as velocity.

How do you determine an object's acceleration while it is travelling straight ahead?The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t).The fact that the item is travelling straight forward is significant since it allows for consistent acceleration. Recall that acceleration is the rate at which velocity changes. Speed in a certain direction is known as velocity.Straight-line motion is referred to as one-dimensional motion. Speed is a scalar indicator of how swiftly something is travelling in this direction. A vector, or velocity, is speed with a direction. An object is considered to be accelerating if its velocity increases with time.

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how is energy transformation and fossil fuel combustion processes similar AND different?
giving brainliest

Answers

Energy transformation and fossil fuel combustion processes are similar in that they both involve the conversion of one form of energy into another form of energy.

In the case of energy transformation, energy is converted from one form to another through various means such as mechanical, electrical, chemical or nuclear processes while fossil fuel combustion, energy is converted from chemical energy stored in fossil fuels into thermal energy through a combustion process.

What are the differences in energy conversions?

However, there are also several key differences between energy transformation and fossil fuel combustion processes. One main difference is that energy transformation processes can involve many different types of energy inputs and outputs, while fossil fuel combustion is specifically limited to the combustion of fossil fuels.

Another difference is that fossil fuel combustion is a non-renewable process, fossil fuels take millions of years to form and once they are used, they cannot be replaced. Whereas, energy transformation processes can be renewable, such as solar or wind power. Additionally, fossil fuel combustion results in the release of pollutants and greenhouse gases, which can have negative impacts on the environment. Whereas, many energy transformation processes do not produce emissions and are considered cleaner sources of energy.

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Cracks in sidewalks are examples of?

A. Erosin
B. Weathering
C. Deposition

Answers

Answer:

erosion

Explanation:

it is likely soil erosion. Usually after lots of rain, the concrete slab is softened and hence soil erosion.

Suppose a 3000 cm3 container holds 7.0 g of nitrogen gas at a pressure of 200 kPa. The gas can be heated at constant pressure if a piston moves outward to let the gas expand as it's heated. Alternatively, the gas can be heated at constant volume if the piston is locked in place to prevent expansion.
We know starting temperature is 290 K
1, Returning to the starting conditions, the gas is heated but the piston is allowed to move in a way that keeps the pressure constant. What is the final temperature if the gas is heated until the volume doubles?

Answers

1) The temperature at the beginning  is 288 K

b)After we doubled the pressure we have, the temperature at 576 K

What is the temperature?

The ideal gas equation is the key that is going to help with the temperature of the gas as we can see the parameters in the question clearly shown as follows;

Pressure = 200 kPa or 1.97 atm

Volume =  3000 cm3  or 3 L

Temperature = ?

Moles of the gas = mass/molar mass = 7 g/28 g/mol = 0.25 moles

Thus;

PV = nRT

T = PV/nR

T =  1.97 * 3/0.25 * 0.082

T = 5.91/0.0205

T = 288 K

After the pressure is doubled;

P1/T1 = P2/T2

P1T2 = P2T1

T2 = 2(1.97) * 288/1.97

T2 = 576 K

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You know the bed of the truck is at a height of 1.00 m and you need a ramp that makes an angle of 40 ∘ with the ground if you are to be able to push the couch. Use the sine function to determine how long of a board you need to use to make a ramp that just reaches the 1.00- m high truck bed at a 40 ∘ angle to the ground.

Answers

Trigonometric functions of an angle include sine and cosine.

What are Trignometric function?

In the context of a right triangle, the sine and cosine of an acute angle are defined as the ratio of the length of the side directly opposite the angle to the length of the longest side of the triangle (the hypotenuse), and the neighboring leg's length to the hypotenuse, respectively.

The sine and cosine functions are indicated by the letters sin and cos for an aTheta functions (sin and cos) .

The definitions of sine and cosine can be expanded more broadly to include any real value in terms of the lengths of certain line segments in a unit circle.

Therefore, Trigonometric functions of an angle include sine and cosine.

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