Answers
Related Questions
A car traveling at a constant speed covers a distance of 750 m in 25 s.What is the cars speed
Answers
Answer:
30 m/s
Explanation:
Answer:
The speed is equal to Distance divided by Time.
The SI Unit of Speed is m/s or meters per second.
V = S/T
= 750/25
= 30 m/s
The film strip that emerges from the camera is usually a ______________. That is, its color and light values are the opposite of those in the original scene.
Answers
The film strip that emerges from the camera is usually a Negative. That is, its color and light values are the opposite of those in the original scene.
What controls how much light enters the camera?One of the three camera settings that affects exposure is the aperture. The shutter speed, aperture, and ISO settings are together referred as as the "exposure triangle." By adjusting the relative amount of light entering a camera lens, an aperture can change the exposure.
What part of the camera and eye controls how much light enters?A camera's shutter can close or open depending on how much light is required to expose the film at the rear of the device.
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A 1000 kg car is travelling at 67 mph. When it reaches a construction zone the driver brakes for 200 m until the car is travelling at 49 mph. What force did the brakes apply to the car? Assume that there are 1609 metres in one mile and give your answer to the nearest thousand. use v^2 =u^2 +(2xAxS) and F=ma
Answers
Velocity of moving vehicle=v 0, and decceleration =a and Final velocity of the vehicale =0.
What is Velocity?Once more, the stopping distance is far more than the braking distance. It starts when the threat is identified and concludes when the car stops.
The reaction distance plus the braking distance, or points 1 and 2, together make up the stopping distance.
Therefore, in order to compute the necessary stopping distance, I must determine and add two partial values (reaction distance + brake distance). The reaction time is the amount of time it takes for a driver to spot a danger before braking.
Therefore, Velocity of moving vehicle=v 0, and decceleration =a and Final velocity of the vehicale =0.
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If hydrogen gives off 10 units of energy, but takes 15 units of energy to produce, what is its net energy ratio
Answers
The net energy ratio of hydrogen is 0.67.
What is net energy ratio?The net energy ratio, also known as energy return on investment (EROI), is a measure of the efficiency of a fuel source or energy system. It represents the ratio of the energy output to the energy input, or the amount of energy that is produced compared to the amount of energy that is required to produce it.
A net energy ratio of 1 means that the energy output is equal to the energy input, and that no net energy is produced.
In the case of hydrogen, it gives off 10 units of energy but takes 15 units of energy to produce, so the net energy ratio would be:
Energy output / Energy input = 10 units / 15 units = 0.67
Hence, the net energy ratio of hydrogen is 0.67. This means that for every 1 unit of energy put into producing hydrogen, only 0.67 units of energy are obtained.
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The image below shows the combined wave for Sound A + B, where Sound A has a higher frequency than Sound B. What is the frequency of Sound A?
Answers
The frequency of Sound A is 440.3 Hz.
What is the resultant frequency of the two sound waves?The resultant frequency of the sound A and sound B is calculated as follows;
Mathematically, the relationship between period and frequency of a wave is given as;
F = 1 / T
where;
T is the period of the waveThe resultant frequency from the given graph is calculated as;
The period of the sound in the image = 0.3 s
F = 1 / T
F = 1 / 0.3 s
F = 3.3 Hz
If sound B = 437 Hz, the frequency of sound A which is greater is calculated as;
F ( A ) = 437 Hz + 3.3 Hz
F ( A ) = 440.3 Hz
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What is the sound level of rustling of leaves?
Answers
The sound level of rusting leaves is 20db.
Rustle is a quiet, muted cracking sound made when dry paper or leaves are moved. The movement of weak objects, like the leaves, produces a gentle sound. Ruffle would be the appropriate response because "leaves" is the noun in the sentence.
Over time, so many people have been mesmerized by the sounds of wind in the trees and the rustling of leaves, that they came up with the term "psithurism" to describe them. Psithurism has a silent first "p," like many other words that start with "ps," and is pronounced sith-err-iz-um.
We sometimes refer to a wind that is howling when it is strong and noisy: The trees shook as the wind howled.
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Complete this sentence. If the cone of force is facing an observer, the impact comes from the ________ side of the observer.
left
same
right
opposite
Answers
If the cone of force is facing an observer, the impact comes from the opposite side of the observer.
What is Newton's third law of motion?
Newton's third law of motion states that action and reaction force are equal and opposite. That is for every action, there is an equal and opposite reaction.
Mathematically, the formula for Newton's third law of motion is given as;
Fa = - Fb
where;
Fa is the impact force or force exerted on BFb is the reaction force of B due to applied force of AThus, when a force is applied from a side, the observed force or reaction will be directed in opposite direction. The force exerted and the reaction force are both equal in magnitude but occurs in opposite direction.
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With the Sun and Moon in this position, what does the side of the earth facing the moon experience? ft Select one O A a normal high tide B. a neap high tide C. a spring high tide D. a spring low tide a neap low tide F a normal low tide age
Answers
With the Sun and Moon in this position, the side of the earth facing the moon experiences a spring high tide. Thus Option C is the answer.
A spring tide is a tide that occurs when the gravitational pull of the Moon and the Sun are in alignment. During a new moon or full moon phase, the gravitational pull of the Moon and the Sun combine to produce stronger than normal high tides and stronger than normal low tides. The term "spring tide" does not refer to the season of spring, but rather the tide's "springing forth" of water.
During a spring tide, the difference between high tide and low tide is at its greatest, and the water level rises higher and falls lower than during a neap tide. This is because the gravitational pull of the Moon and Sun are working together to produce the tide, rather than against each other. This results in a high tide that is higher than a normal high tide, referred to as a spring high tide.
It is important to note that spring tides occur twice a month, around the time of the new and full moon, when the Moon and Sun are in alignment.
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A red cart is moving rightward with a momentum of 50 kg cm/s when it collides with a blue cart of equal mass that is initially at rest. The two carts stick together and move to the right with the same speed after the collision.
Answers
The final velocity of the red-blue carts system is 5 cm/s.
What is the final speed of the two carts after collision?
The final speed of the two carts, that is the red cart and the blue cart system after the collision is calculated by applying the principle of conservation of linear momentum.
Pi = Pf
m₁u₁ + m₂u₂ = v ( m₁ + m₂ )
where;
m₁ is mass of the red cartm₂ is the mass of the blue cartu₁ is initial velocity of the red cartu₂ is the initial velocity of the blue cartv is the final velocity of the two carts after the collisionm₁u₁ + 0 = v ( m₁ + m₂ )
m₁u₁ = v ( m₁ + m₂ )
v = ( m₁u₁ ) / ( m₁ + m₂ )
The final velocity of the red-blue carts system is calculated as;
v = ( 50 kg cm/s ) / ( 5 kg + 5kg )
v = 5 cm/s
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The complete question is below:
A red cart is moving rightward with a momentum of 50 kg cm/s when it collides with a blue cart of equal mass that is initially at rest. The two carts stick together and move to the right with the same speed after the collision. What is the final velocity of the two carts system after the collision if the mass of the blue cart is 5 kg.
Two waves meet while traveling through the same medium. The crests of wave one meet up with the crests of wave two. If wave one has an amplitude of 4 and wave two has an amplitude of 3, what is the amplitude of the wave resulting from the interference
Answers
If wave one has an amplitude of 4 and wave two has an amplitude of 3, what is the amplitude of the wave resulting from the interference
Equation Used
The resulting intensity is calculated as follows: I = (sqrt(I1)-sqrt(I2))2
3 variables and 1 function are used in this formula.
Used Functions
Square root function and sqrt (Number)
used variables
The effect of two intensities coming together is called the "resulting intensity" (measured in candela).
The energy that the first wave transfers over a surface of a given area in a unit of time is measured as intensity 1 (measured in candela), which is equal to the energy density times the wave speed.
The energy that the second wave transfers over a surface of a certain area in a unit of time is measured as intensity 2 (measured in candela), which is equal to the energy density times the wave speed.
No conversion is necessary for intensity 1: 4 candela to 4 candela.
Intensity 2: No Conversion Needed 3 Candela to 3 Candela
Replacement of Input Values in a Formula
I is equal to (sqrt(I1)-sqrt(I2))2 --> (sqrt(4)-sqrt(3)).
2 Assessing...…
I = 0.0717967697244909
Candela: 0.0717967697244909 No Conversion Is Necessary
RESULT 0.0717967697244909 A candela Outcome Intensity (Calculation completed in 00.016 seconds)
What is Wave Interference?
When two waves that are moving in opposite directions arrive at the same location simultaneously, interference results. The two waves will combine into a temporary, larger wave with an amplitude equal to the sum of their individual amplitudes if their crests and troughs completely line up. Constructive interference is what this is. On the other hand, if the crests of two waves coincide, they either combine to form a smaller wave or completely cancel each other out. We refer to this as destructive interference.
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when a falling firecracker explodes, the momenta of its pieces _______.
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when a falling firecracker explodes, the momenta of its pieces vectorially add up to equal the initial momentum of the firecracker.
When the firecracker bursts, the vector sum of the momenta of its fragments adds up to the firecracker’s momentum just before bursting.
A falling firecracker explodes into two pieces. The momenta of the fragments combine by vector rules to equal the original momentum of the falling firecracker. Momentum is equal to mass multiplied by velocity.
According to the conservation of momentum, the initial momentum of the system is equal to the final momentum. The condition for the validity of momentum conservation is that no external force should exert on the system.
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An ambulance racing down the highway has 14,600,000 J of energy. It is moving 34 m/s. What is the mass of the ambulance? (Round
your answer to two decimal places) KE=1/2mva^2
Answers
The ambulance weighs 16.97 tons, and the kinetic energy of an object is given by the formula KE = 1/2mv2, where m is the object's mass, v is its velocity, and KE is the kinetic energy.
What is kinetic energy and above explanation?Kinetic energy is the energy an object possesses due to its motion, and it is calculated as 1/2mv^2, where m is the mass of the object and v is its velocity. It represents the ability of an object to do work by virtue of its motion.Given that the ambulance has 14,600,000 J of energy and is moving at 34 m/s, we can use this formula to find the mass of the ambulance:KE = 1/2mv^214,600,000 J = 1/2m(34 m/s)^2To solve for mass, we can divide both sides of the equation by (1/2)(34 m/s)^2:m = (14,600,000 J) / [(1/2)(34 m/s)^2]m = 14,600,000 J / (1/2)(1156 m^2/s^2)m = 14,600,000 J * (2/1156 m/s^2)m = 16.97 tonSo the mass of the ambulance is approximately 16.97 ton.
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A new way of "multiplying" two vectors is introduced in this chapter. What is it called? Select one: O a. The tensor product. O b. The angular product. Oc. The scalar product. O d. The dot product. O e. The cross product.
Answers
The correct option is option e) cross product
The cross-product is a new way of "multiplying" two vectors. It results in a new vector that is perpendicular to both the original vectors and its magnitude is given by the area of the parallelogram formed by the two original vectors.
In three-dimensional space, cross-product is a binary operation on two vectors. It yields a vector perpendicular to both vectors. a b represents the vector product of two vectors, a and b. Its resulting vector is parallel to a and b. Cross goods are another name for vector products.
The cross-product has four basic applications:
calculating the angle () between two vectorsdetermining a vector normal to a planecalculating the moment of a force about a pointcalculating the moment of a force about a line.Read more about Cross-Product from:
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(TCO A) The primary reason for networking standards is to
Student Answer:simplify cost accounting for networks. Make it more difficult to develop hardware and software that link different networks. Ensure that hardware and software produced by different vendors can work together. Ensure that all network components of a particular network can beprovided by only one vendor. Lock customers into buying network components from one vendor
Answers
Make sure that software and hardware developed by various manufacturers can cooperate.
What exactly do vendors mean?A vendor is generally anybody who buys and sells goods or services. A vendor purchases products and services to resale them to different companies or individuals. Several different vendors provide the goods that big box stores like Target buy at deep discounts and then resale at higher retail rates.
The five major types of vendors are manufacturers, wholesalers, merchants, services and maintenance providers, independent vendors, and trade show representatives. Suppliers are sometimes referred to as the first link in a supply chain because they exclusively conduct business with other businesses. Contrarily, a vendor is a business or person that purchases things from a company and then sells them to another party.
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is the electron's speed at f greater than, less than, or equal to its speed at i?
O The electron's speed at f is less than its speed at i. O The electron's speed at f is equal to its speed at i. O The electron's speed at f is greater than its speed at i. O There is not enough data to determine the correct answer.
Answers
The correct option is B, The electron's speed at f is equal to its speed at i.
Electrons are subatomic particles that are found in atoms. They are the negatively charged particles that orbit the nucleus of the atom, and they have an extremely small mass. Electrons travel at different speeds depending on their energy level. At their lowest energy level, electrons move at an extremely slow speed, about one thousandth of the speed of light. As the electrons gain energy, their speed increases.
In a vacuum, when electrons have the highest energy level, they can travel at a speed of nearly the speed of light, which is around 186,000 miles per second. In a vacuum, the electrons would have the same speed regardless of their mass. Electrons also move slower inside a material, such as a metal, due to the presence of other atoms. Electrons in metals usually move at a speed of about 1/10th the speed of light. This slower speed is due to the electrons having to pass through energy barriers created by the other atoms in the metal. In general, electrons are very fast particles that can travel at speeds up to nearly the speed of light.
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Frank is pulling on a rope to drag his backpack to school across the ice. He pulls upwards and rightwards with a force of 26.7 Newtons at an angle of 17 degrees above the horizontal to drag his backpack a horizontal distance of 129 meters to the right. Determine the work done upon the backpack. in joules.
Answers
The work done upon the backpack is 3293 Joule.
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 work done upon the backpack is = applied force × displacement × cosα
= 26.7 N × 129 meters × cos17°
= 3293 Joule.
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In a sealed container, Sarah combines a reactant with a mass of 8 grams with another reactant with a mass of 11 grams. After the reaction, what is the most reasonable prediction Sarah can make for the total mass of the products of this reaction?
6g
8g
10g
19g
which one
Answers
The most reasonable prediction Sarah can make for the total mass of the products of this reaction would be = 19g.
What is law of conservation of mass?The law of conservation of mass states that mass in neither created nor destroyed but can be changed from one form to another.
From the set up of the reaction carried out by Sarah, the container was in an enclosed medium.
Therefore since there is no loss of mass, the total mass of the products of this reaction would be = 11+8 = 19g.
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Which of the following is an example of erosion in action ?
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Example of erosion: Wind carries small pieces of rock away from the side of a mountain.
Which of the following are examples of erosion?Erosion is the procedure by which the surface of the Earth gets worn down. Erosion can be created by natural elements such as erosion as wind and glacial ice. But everyone who has ever seen a picture of the Grand Canyon knows that nothing strikes the erosion slow steady movement of the water when it comes to commuting the Earth
Rain, rivers, floods, lakes, and the ocean convey away bits of soil and sand and slowly wash away the deposit. Rainfall produces four types of soil erosion: splash erosion, sheet erosion, rill erosion, and ravine erosion.
So we can conclude that Erosion is a ruinous force that wears away land features.
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Two particles P and Q are initially at rest 1.64 m apart, P has a mass of 1.43 kg and Q a mass of 4.29 kg. P and Q attract each other with a constant force of 1.79 x 10-2 N. No external forces act on the system. (a) Describe the motion of the center of mass. (b) At what distance from P’s original position do the particles collide?
Answers
(a)The center of mass of the system has no acceleration, and remains at the same position as it was earlier.
(b)The particle P, collide at a distance 1.23m from P's original position.
What is acceleration?Vector quantities include accelerations. The direction of the net force imposed on an object determines its acceleration in relation to that force.Acceleration in a body is the result of imbalanced forces.The three main categories of accelerated motions are uniform, non-uniform, and average acceleration. When an item moves in a straight path with an increase in speed occurring at regular intervals of time, this motion is referred to as having uniform acceleration.Any modification of motion's speed or direction is referred to as acceleration. When anything is speeding up, slowing down, or not traveling straight ahead, it is said to be accelerating.To learn more about acceleration refer to:
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The doctor lands his tardis on a planet whose radius is 1. 2x10^7m the acceleration due to gravity is 18m/s^2. What is the mass of the planet
Answers
The mass of planet is 3.886×10^25 kg. The radius of planet is 1. 2x10^7m.
What is a planet with half the mass's acceleration caused by gravity?Complete Resolution. If the acceleration caused by gravity on the surface of the earth is given by the formula g, then the acceleration caused by gravity on a planet with a mass half that of the earth and a radius equal to that of the earth is given by the formula g/2. Where G = 6.67 ×10^-11 N m2/kg2 (Newton's gravitational constant).
Is the explanation for the gravitational acceleration independent of mass?As a result, acceleration due to gravity (a) depends on the gravitational constant (G), the mass of the Earth (M), and the radius of the Earth (R), but not on the mass of the body (m).
Given:
Radius of planet (r) = 1. 2x10^7m
Acceleration due to gravity (g) = 18 m/s^2
The acceleration due to gravity at the surface of the planet is,
[tex]g=G\frac{M}{r^2}[/tex]
Where, G = Universal gravitational constant
[tex]G= 6.67*10^-11N.m^2/kg^2[/tex]
[tex]M=\frac{g*r^2}{G}[/tex]
[tex]M=\frac{18*(1.2*10^7)^2}{6.67*10^-11}[/tex]
M =3.886×10^25 kg
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The power required to exert 1 N force, over a distance of 1 m in 1 second is. A) 1 W. B) 2 W. C) 1/3 W. D) 3 W. E) none of these.
Answers
Answer:
A) E = 1 N * d = 1 Newton-Meter = 1 Joule
P(ower) = E / t = 1 N-m / t = 1 Joule / sec = 1 W
Now let's think about a balloon. We know the gas particles inside of the balloon are bumping against the sides. What keeps those gas particles from forcing the balloon to expand
Answers
The elasticity of the balloon's material keeps the 1particles from forcing it to expand. The material stretches as the gas particles bump against the sides, allowing the balloon to expand to a certain point before contracting again.
The elasticity of the balloon's material is an important factor in determining the balloon's shape and size. In general, the more elastic the material is, the more the balloon will be able to stretch and expand. When the material is not elastic enough, it will not be able to stretch and the balloon will remain in its original shape.
The elasticity of the material also affects the amount of air pressure within the balloon. A more elastic material will be able to hold more air pressure, while a less elastic material will not be able to hold as much pressure. This is why balloons with a higher pressure will usually be larger than balloons with a lower pressure.
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Determine the quantity of charge on a plastic tube which has been rubbed with animal fur and gained 3. 8 x 10^9 electrons
Answers
The quantity of charge on a plastic tube that has been rubbed with animal fur and gained 3. 8 x 10^9 electrons is The quantity of charge on the plastic tube is 3.8 x 10^9 electrons.
The quantity of charge on the plastic tube is 3.8 x 10^9 electrons. To calculate this value, we can use the equation q = n*e, where q is the charge, n is the number of electrons and e is the elementary charge (1.6 x 10^-19 C). Substituting in the values given, we get q = 3.8 x 10^9 * 1.6 x 10^-19 = 6.08 x 10^-10 C. This means that the plastic tube has gained a charge of 6.08 x 10^-10 Coulombs, which is equivalent to 3.8 x 10^9 electrons.
This can be explained by the process of triboelectricity, which is the transfer of electrons between two materials due to rubbing them together. In this case, the animal fur must have had a higher electron affinity than the plastic, which caused electrons to be transferred from the fur to the plastic tube.
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39) Three different dynamic carts of different masses are rolled down a ramp. The heaviest one rolls down the ramp the fastest. Before concluding that a more massive cart will roll down a ramp faster, what experiment with these three carts might you want to do
Answers
According to the given information the answer is Add masses to each car until they have the same mass, then test the carts again.
What is dynamic carts?Features three low friction ball bearing wheels and matched axles to assure their rolling along a true line without deviation to produce accurate data, and a sturdy steel body to endure rigorous handling. Each cart is around 1.5 kg in weight. The ends of the cart lift above the bed to transport a brick or any other bulk, and the cart bed is covered with a rubber pad. At one end of the cart, there is a clip where a tape can be fastened. Each cart's pins fit into the holes in the others, allowing the mass to be doubled by stacking them.
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The complete question is-
Three different dynamic carts of different masses are rolled down a ramp. The heaviest one rolls down the ramp the fastest. Before concluding that a more massive cart will roll down a ramp faster, what experiment with these three carts might you want to do?
Run an experiment with the ramp at a different angleFind a fourth cart to add to the test, then test againChange the surface of the ramp, then test the carts againAdd masses to each car until they have the same mass, then test the carts againHow do you calculate the fall of a ramp?
Answers
The fall of the ramp can be calculated by the falling style of the ramp. like if the ramp is falling in the rolling motion, then we can calculate the fall of the ramp by the process by which we calculate of the rolling motion of any object.
Rolling motion happens when an object roll over from a ramp or any other sloppy surface whether it is rough or smooth. many forces act on it at the same moment. also in many forces rolling tangential force and gravitational force is also acting on it at the same moment. in which the gravitational force is acting on it at a bigger pace and plays an important role in rolling of the object from the ramp or any other sloppy surface. hence, by this information we can firmly consider that a heavier object go down a ramp at a same pace as a lighter object go down a ramp because of gravitational force acting on it in a major form.
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The sum of kinetic energy and potential energy
of the particles in a material is blank
Answers
The sum of kinetic energy and potential energy of the particles in a material is known as mechanical energy.
What is Kinetic energy?The energy that an object has as a result of motion is known as kinetic energy. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.
What is potential energy?Due to its position, an object has the ability to store energy. For instance, when a demolition machine's heavy ball is held in an elevated position, it is storing energy. Potential energy is the name for this positional energy that has been stored. Similar to how a drawn bow can store energy due to its posture, There is no energy in the bow while it is in its normal position, or when not drawn. The bow can yet store energy when its position is changed from its normal equilibrium position because of its position. Potential energy is the name for this positional energy that has been stored. Potential energy is the energy of position that a thing has stored inside it.
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If petroleum used by a power generator is 50 percent efficient and the lines that carry the electricity to a light are 25 percent efficient, what is the energy efficiency of converting the oil into the light
Answers
The energy efficiency of converting the oil into the light can be calculated by multiplying the efficiencies of each step in the process.
Calculation-Efficiency = (0.50) * (0.25) = 0.125 or 12.5%
So the energy efficiency of converting petroleum oil into the light is 12.5%. This means that only 12.5% of the energy in the oil is converted into usable light. The rest is lost as heat or other forms of energy during the process.
How effective is the process of turning oil into light overall?How effective is the process of turning oil into light overall? Chemical energy equivalent to 6,000 MJ is found in one barrel of crude oil. An oil-burning power plant can produce 2,000 MJ of energy from a single barrel of crude oil.
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if 15.0 g of water vapour at 135°C cools to 100°C, condenses to liquid water, and then cools to 90°, how much energy is released to the environment?
Answers
The heat that is evolved by the environment is 36.42 kJ.
What is the heat that is involved?We know that heat is a form of energy that can be known for the fact that it could lead to a change in the temperature of the object. We have to note that the energy that is released is a sum total of all the process that are involved here.
We know that;
H = (15 * 4.18 * (135 - 100)) + (15 * 2240) + (15 * 4.18 * (100 - 90))
H = 2194.5 + 33600 + 627
H = 36.42 kJ
The total heat that has been evolved would now be 36.42 kJ.
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To find the acceleration of a glider moving down a sloping air track, you measure its velocities (V1 and V2) at two points and the time t it takes between them, as follows:V1=0. 21+/- 0. 05m/s, V2=0. 85 +/- 0. 05m/s, t=8. 0 +/- 0. 1sa) Assuming all uncertainties are independent and random, find the average acceleration, a=(v2-v1)/t , and its uncertainty. B) How well does your result in part (a) agree with your friends theoretical prediction that a=0. 13 +/- 0. 01m/s^2
Answers
0.08 m/s2 is the average acceleration. The acceleration's degree of uncertainty is 0.0135 m/s2.
Describe acceleration.Accelerations are included in vector quantities. An object's acceleration in relation to a net force is determined by the direction of that force. Force imbalances lead to acceleration in a body.
Uniform, non-uniform, and average acceleration are the three primary types of accelerated motions. It is said to have uniform acceleration when an object moves in a straight line with an increase in speed that happens at regular intervals of time.
Acceleration is the term used to describe any change in the speed or direction of a motion. Anything that is accelerating is moving faster, slower, or in a direction other than straight forward.
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The same amount of steel used to create eight solid steel balls, each with a radius of 1 inch, is used to create one larger steel ball. What is the radius of the larger ball
Answers
Answer:
2 inches
Explanation:
Volume of a sphere = 4/3 pi r^3
for the EIGHT balls total volume = 8 * 4/3 pi (1^3) = 32/3 pi
This is the volume of the made-up ONE ball
4/3 pi r^3 = 32/3 pi
4/3 r^3 = 32/3
r^3 = 32/3 * 3/4
r^3 = 8
r = 2 inches