The voltage across the charged plates is 228.5 V.
Voltage across the platesV = Fd/q
V = (mgd)/q
where;
m is mass of the oilg is acceleration due to gravityd is the distance of separationq is chargeV = (2.7 x 10⁻¹⁵ x 9.8 x 8.3 x 10⁻³) / (9.612 x 10⁻¹⁹)
V = 228.5 V
Thus, the voltage across the charged plates is 228.5 V.
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if the speed of an object increases from 0 to 40 meters per second in 20 seconds how much distance has it covered
According to the given statement the object has covered 400 meters distance has it covered.
What is object and image in physics?The point where light rays from an object meet, or appear to meet after reflection or refraction, is sometimes referred to as the image. In this concept, a "object" might be anything that light rays are emanating from.
To find the distance covered by an object as it increases its speed from 0 to 40 meters per second in 20 seconds, we can use the formula:
Distance = (Initial speed + Final speed) x Time / 2
In this instance, the time is 20 seconds, the beginning speed is 0 m/s, and the ultimate speed is 40 m/s. With these values entered into the formula, we obtain:
Distance = (0 + 40) x 20 / 2 = 800/2 = 400 meters
So the object has covered 400 meters.
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physics, calculate specific latent heat, question 1) a and b. diagram attached
The specific latent heat of fusion for the substance in question 1a is 80 kJ/kg, and the specific latent heat of vaporization for the substance in question 1b is 250 kJ/kg.
The specific latent heat of fusionThe specific latent heat of fusion is the amount of energy needed to change a unit mass of a substance from a solid to a liquid. The energy released when a unit mass of a substance changes from a liquid to a solid is the same as the energy required to change the substance from a solid to a liquid.In the diagram, the process of changing a substance from a solid to a liquid is represented by a. The energy required to change a unit mass of the substance from a solid to a liquid is equal to the area under the curve, abc.The amount of energy released when a unit mass of the substance changes from a liquid to a solid is represented by b. The specific latent heat of fusion is equal to the area under the curve, def.To calculate the specific latent heat of fusion, the area under the curve abc must be subtracted from the area under the curve def. This will give the amount of energy required to change a unit mass of the substance from a solid to a liquid. This amount of energy is equal to the specific latent heat of fusion.To learn more about The specific latent heat of fusion refer to:
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a 20 newton block is at rest at the bottom of a frictionless incline as shown in the diagram. How much work must be done against gravity to move the block to the top of the incline
The work done in raising the block is 60 J.
What is the work that is done against gravity?We have to note that the work that is done against gravity is the work that is needed so as to be able to raise the block through a vertical distance and this has to be at the back of our minds.
Here we can see in the image that is attached that the vertical height through which the block has been raised is 3m.
We know that the work done = Fh
F = Weight of the block
h = Height of the incline
Thus;
Work = 20 N * 3 m = 60 J
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Other than the first shell, which can hold up to 2 electrons, how many electrons will make a "full" valence shell?.
A full valence shell is one that is filled with the maximum number of electrons that it can hold. For all shells except the first shell, this number is 8 electrons.
What is electrons?Electrons are subatomic particles that have a negative electrical charge. They are the primary component of atoms, and they are responsible for most of the properties of chemical elements. Electrons orbit around the nucleus of an atom, and they can move freely between atoms in a chemical reaction. Electrons can also form bonds with other atoms, allowing them to create molecules and other compounds. Electrons also play a major role in electricity, as they are the particles that move through wires and other conductors, carrying energy from one place to another.
This is because each shell can hold a maximum of 2 electrons per sub-shell, and each shell has four sub-shells (s, p, d, and f). So, 2 electrons x 4 sub-shells = 8 electrons.
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Compare and contrast the Physical and Compositional Layers of the Earth
Compositional layers of the earth are determined by their parts while on the other hand, the mechanical layers are determined by their physical characteristics.
What are the compositional layers of the earth?The earth is made up of three different layers: the crust, the cape, and the core according to mechanical things, Earth's layers are the lithosphere, crust, lower mantle (also known as mesospheric mantle), outer core, and inner core, according to Phys.org
Starting at the center, Earth is calm of four distinct layers. They are, from gaping to shallowest, the inner core, the outer core, the mantle, and the crust. Earth's atmosphere has five major and some secondary layers. From lowest to highest, the major layers.
So we can conclude that The earth is made up of three dissimilar layers: the crust, the mantle, and the core.
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A force of 2. 2x10^4 N needed to lift a 2270 kg tone block. Uing the equation work=force x ditance, determine how much work i required to lift uch a blocki of ditand of 2 m
The work required to lift the block with a force of 2.2 · 10⁴ N at the distance/displacement of 2 meters is equal to 44,000 joules.
Force, according to Newton's law of motion, is equal to mass times acceleration. Newton is the standard unit of force. For an object to accelerate, there must be a net force acting on it.
When a force acts on an object and makes it move, the object is said to transfer energy. This is called work in physics. Mathematically speaking, work W is equal to force F times distance x (W = F · x). Joule is the standard unit of work.
Suppose that F equals 2.2 · 10⁴ newtons and x equals 2 meters. The work done is calculated as follows:
W = F · x
W = 2.2 · 10⁴ · 2
W = 44,000 joules
We have confirmed that the work needed to lift the block is equal to 44,000 joules.
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describe a situation in which work is being done
A box being moved across the room by a mover. A pool chair is blown across the yard by wind. A barbell is raised off the ground by a weightlifter.
Do weightlifters have strength?
Flexibility is important. In addition to being exceptionally strong and powerful, weightlifters are also very flexible. In fact, they are some of the most flexible athletes. To perform this same lifts with the required ranges of motion, extreme levels of versatility are needed.
Is lifting weights a skill?
Lifting weights is a skill. Additionally, it is preferable to study, acquire, and hone talents when you are rested and alert. You'll have to have some gas left in the barrel if you desire to be able to study it again in only a few of days.
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Answer:when you lifting weights
Explanation:
how do you describe the speed at which you can sew
We can describe the sew speed as, calculate the measured stitches per unit and divide by reduction ratio.
Sewing machines are invented during the first Industrial Revolution to decrease the amount of manual sewing work performed in clothing companies. The speed is an important issue for sewing. All machines are not same, all operators are not equal experienced in production, quality expectation, stitch type, etc.
Since the invention, the efficiency and productivity of the clothing industry has been greatly improved. Now various types of sewing machines are used for sewing depending on different stitches. Most of them are automatic and run by motor.
When stitch is formed, three things come into factor such as needle thread, fabric types and bobbin thread or looper thread (Webster et al., 1998). Seam strength completely depends on quality of fabric and sewing machine.
Sewing thread needs to choose according to the properties of fabric (Chowdhary et al., 2006). Since seam strength is dependent on the thread strength, a reduction in thread strength during sewing will lead to lower seam strength.
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Which player is serving the ball? OA. The receiver OB. The opponent OC. The server OD. None of the above
The player serving the ball is the server.
option C is the correct answer.
Who is the sever in a game of ball?The right back player of the serving team shall be the first server of the game. In volleyball, the serving player will always be the player that is standing in position 1.
After the right back player of the serving team start the serving process of the game, afterwards the player rotating from the right forward to the right back position shall be the server (clockwise rotation). Rotation occurs after opponents side-out.
Thus, the player that serves the ball is known as the server.
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2. A ball has a weight of 15 N. If a cannon can shoot with a force of 100 N, what will be the net force
on the ball?
Answer: 115 N
Explanation:
In this case, the ball has a weight of 15 N (force due to gravity) acting on it and the cannon is shooting it with a force of 100 N.
To find the net force on the ball, we add the forces acting on it.
Net force = force due to gravity + force due to the cannon
Net force = 15 N + 100 N
Net force = 115 N
So, the net force on the ball will be 115 N. ✅
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The primary coil in a transformer has 160 turns and is opperating at 151 V. If the secondary coil has 4,529 turns what will be the voltage in the secondary
coil?
Where Vp is the primary voltage, Vs is the secondary voltage, Np is the number of loops in the primary coil, and Ns is the number of loops in the secondary coil.
How do you find the voltage in a primary coil?The ratio of the primary and secondary voltages in a transformer is the same as the proportion of loops in the primary and secondary coils. Where Np is the number of loops in the primary coil, Vp is the primary voltage, Vs is the secondary voltage, and Vp and Ns are the number of loops in the secondary coil. We specifically know that the ratio of the potential difference V across these coils to the number of turns N in the input and output coils is the same. The equation is V input divided by V output, where V input is equivalent to N input divided by N output. You may calculate a ratio by taking the larger number of turns and dividing it by the lower number of turns.To learn more about primary coil refer to:
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Thank you for helping!
The air contains a higher concentration of oxygen than carbon dioxide. Option A
What is inhalation?When we talk about the process of inhalation, we mean the process by which a person can be able to draw in air. The drawing in of the air by the person is going to make the alveoli to be full of air that has been oxygenated.
It should also be recalled at this point that human beings breathe in oxygen and then breathe out carbon dioxide which is the waste product of the process as described.
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∆V (Voltage)
I (current)
R (resistance)
4V
2A
2 Ω
12V
8A
4 Ω
6V
3A
3
Inspect your data and write an equation that relates the ∆V to the I and R values. Support your claim with evidence and reasoning.
The equation relating voltage, current and resistance is V = IR, this is because voltage in a circuit increases with increase in current and resistance and vice versa.
What is Ohm's law?
Ohm's law states that the current flowing in a conductor is directly proportional to the voltage across the conductor.
Mathematically, the formula for Ohm's law is given as;
V = IR
where;
V is the voltage in the circuitI is the current flowing in the circuitR is the resistance of the circuitThe given data
Voltage ( V ) Current ( I ) Resistance ( R)
4 2 2
12 8 4
6 3 3
From the equation given above, the voltage in the circuit increases with increase in the current and resistance and decreases with decrease in the current and resistance.
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A ball is attached to a string and spun in a circular path. The string snaps and the ball continues outward from that point in a straight line path. What Newtonian concept explains this?
The ball will continue according to the concept of Inertia and in a straight line according to Newton's first law of motion.
Newton's First Law of MotionIt states that, an object at rest or in a linear motion will continue to be at rest or in its linear motion except an external force act on it.
Given that a ball is attached to a string and spun in a circular path.
In a circular motion, the speed of the object is the same but the velocity is not because the object tend to move in a different straight line direction.
If the string snaps and the ball continues outward from that point in a straight line path, The Newtonian concept that explain this is the concept of Inertia that emanate from the First Newton's Law of Motion
Therefore, the correct answer is First Newton's Law of Motion
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Consider a network of 8 nodes A-H as shown below. The delay vectors
received from the neighbors of node F are also shown. Use the Distance Vector Routing
algorithm to calculate the new estimated delays from node F and the lines for those estimates.
The delay vector for node F as follows:
F: [5, 2, ∞, ∞, ∞, 0, ∞, ∞]
This means that the estimated delay from node F to node A is 5, to node B is 2 and to node F itself is 0. And all other nodes are unreachable.
THE DISTANCE VECTOR ROUTING ALGORITHMThe Distance Vector Routing algorithm, also known as Bellman-Ford algorithm, is used to calculate the shortest path from a given source node to all other nodes in a network.
To calculate the new estimated delays from node F, we first initialize the delay vector for node F as follows:
F: [0, ∞, ∞, ∞, ∞, ∞, ∞, ∞]
Next, we update the delay vector for node F using the delay vectors received from its neighbors. For example, using the information provided in here, we can update the delay vector for node F as follows:
F: [5, 2, ∞, ∞, ∞, 0, ∞, ∞]
This means that the estimated delay from node F to node A is 5, to node B is 2 and to node F itself is 0. And all other nodes are unreachable.
We then repeat this process of updating the delay vector until the estimates converge and no further updates are required.
This is a simplified process and in real world scenario there will be more number of nodes and edges, and also the cost of each edge will be different.
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What is the instantaneous angular speed of a spinning amusement-park ride that accelerates from 0.50 rad/s at a con-stant angular acceleration of 0.20 rad/s² for 1.0 s?
The instantaneous angular speed of a spinning amusement park is 0.70rad/sec.
What do you mean by angular speed?The definition of angular speed is the rate at which angular displacement changes.
To find the instantaneous angular speed of the spinning ride, we can use the equation:
ωf = ωi + αt
where ωf is the final angular speed, ωi is the initial angular speed, α is the angular acceleration, and t is the time.
Given that:
ωi = 0.50 rad/s
α = 0.20 rad/s²
t = 1.0 s
so, we can substitute these values into the equation and solve for ωf:
ωf = 0.50 rad/s + (0.20 rad/s² * 1.0 s)
ωf = 0.50 rad/s + 0.20 rad/s
ωf = 0.70 rad/s
The instantaneous angular speed of the spinning ride is 0.70 rad/s after 1s of constant angular acceleration of 0.20 rad/s².
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a 4 kg object posesses 18 J of kinetic energy. what is its velocity?
A 4kg object possesses 18J of kinetic energy then 3m/s will be its velocity.
Given:
Maas of object- 4kg
Kinetic energy-18J
Velocity-?
Kinetic energy is the energy possessed by a moving object, depending on its mass and velocity.
therefore,Kinetic energy =1/2 x mv^2
18J = 1/2 x 4kg x v^2
18J = 0.5 x 4kg x v^2
18J = 2kg x v^2
v^2 = 18/2
v^2 = 9
v = √9 (square root of 9)
v = 3 m/s
The velocity of a 4kg object with 18J of kinetic energy will be 3m/s.
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A vector in medium 1 with an index of refraction of 1. 92 is at an angle of 30 degrees. Into medium 2 with an index of refraction of 1. 0003 it is at an unknown angle. What is the angle of refraction?.
The angle of refraction is 73.68°. The result is obtained by using the Snell's Law formula.
What is Snell's Law?The Snell's Law is a formula to describe the relationship between the angles of incidence and refraction when a light passes through two media. It can be expressed as
n₁ / n₂ = sin θ₂ / sin θ₁
Where
n₁ = refractive index of medium 1n₂ = refractive index of medium 2θ₁ = incident angleθ₂ = refracted angleNote that the angles are measured from the normal line.
We have
n₁ = 1.92θ₁ = 30°n₂ = 1.0003Find the angle of refraction! (θ₂ = ?)
Using the Snell's Law formula, we sill get the angle of refraction.
n₁ / n₂ = sin θ₂ / sin θ₁
1.92 / 1.0003 = sin θ₂ / sin 30°
sin θ₂ / 0.5 = 1.9194
sin θ₂ = 1.9194 × 0.5
sin θ₂ = 0.9597
θ₂ = Arc sin 0.9597
θ₂ = 73.68°
Hence, the refracted angle is 73.68°.
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Answer:
74 degrees
Explanation:
A 0.1 kg toy train car moving at 1.0 m/s runs into a stationary car with a mass of 0.15 kg. At what speed do they move off together?
The toy train and the car move off together at speed of 0.4 m/s.
What is law of conservation of momentum?
According to the law of momentum conservation, momentum is only modified by the action of forces as they are outlined by Newton's equations of motion; momentum is never created nor destroyed inside a problem domain.
From conservation of momentum, we get:
Total initial momentum = total final momentum
0.1 kg × 1.0 m/s + 0.15 kg × 0 m/s = ( 0.1 kg + 0.15 kg) × v
v = (0.1/0.25) × 1.0 m/s
v = 0.4 m/s.
Hence, they move off together at speed of 0.4 m/s.
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A crane and box are both initially at rest. At time to the crane begins to drive forward at a constant speed of 5 m/s, while also lifting the box with an upward acceleration of 1 m/s. The box does not swing while being lifted by the crane the scenario described above. Represent each force by a distint arrow starting on, and pointing away from the dot.
Arrow starting from the dot, pointing away from the dot in the direction of the crane's motion. Force of the crane lifting the box: Arrow starting from the dot, pointing away from the dot in the upward direction.
What is the Crane?
The Crane is a machine used in construction and engineering to lift and move heavy objects. It is usually composed of a tall, rotating arm with a hoist at the end, operated by an operator in a cab. Cranes come in a variety of sizes, from small models that can lift a few hundred pounds to huge machines that can move thousands of tons at once. Most cranes are attached to a fixed structure, such as a building or pier. Cranes can also be mounted on vehicles, such as trucks, to move around a worksite. Cranes are essential tools in the construction industry, as they allow workers to move large objects with ease and speed. Cranes are also used in a variety of other industries, such as manufacturing, shipbuilding, and material handling.
This force is the result of the crane pushing the box forward at a constant speed of 5 m/s.
This force is the result of the crane lifting the box with an upward acceleration of 1 m/s.
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When Jeff ran up a hill at 7.0 m/s, the horizontal component of his velocity vector was 5.1 m/s. What was the vertical component of Jeff's velocity?
When Jeff ran up a hill at 7.0 m/s, the vertical component of his velocity was 4.8 m/s and the horizontal component of his velocity vector was 5.1 m/s.
What is velocity?The direction of movement of the body or item is defined by velocity. Speed is fundamentally a scalar number. Velocity is, in essence, a vector quantity. It is the pace at which distance changes. It is the displacement rate of change. Speed is the pace at which an item moves along a route in time, whereas velocity is the rate and direction of movement. In other words, velocity is a vector, whereas speed is a scalar number. Simply put, velocity is the rate at which something travels in a certain direction. For example, the speed of a car driving north on a highway or the speed of a rocket after launch.
Here,
the vertical component of Jeff's velocity,
=√7²-5.1²
=4.8 m/s
The vertical component of Jeff's velocity is 4.8 m/s when Jeff ran up a hill at 7.0 m/s, the horizontal component of his velocity vector was 5.1 m/s.
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A particle moves along the x-axis. The velocity of the particle at time t is given by v(t)=4t3+1. If the position of the particle is x = 1 when t = 2 , what is the position of the particle when t = 4?.
The position of the particle when t = 4 is 240 m. The position of an object can change over time, and the rate at which its position changes is called its velocity.
In physics, position refers to the location of an object in space. It is often described by a set of coordinates, such as (x, y, z) in three-dimensional space or (x, y) in two-dimensional space. Position is a vector quantity, which means it has both a magnitude (the distance from a reference point) and a direction.
The position of the particle can be found by integrating the velocity function with respect to time. Integrating v(t) = 4t³ + 1 with respect to t gives us x(t) = t⁴ + t + C, where C is the constant of integration. Since the position of the particle is x = 1 when t = 2, we can use this information to find the value of C.
x(2) = 2⁴ + 2 + C = 17 + C = 1
C = -16
Therefore, the position of the particle when t = 4 is given by x(4) = 4⁴ + 4 - 16 = 256 - 16 = 240
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if the above bowling ball rolls into a pillow and stops in 0.5s. calculate the average force exerted on the pillow
The average force exerted on the pillow -32 N.
Force is an external influence that can change the velocity or motion of an object.
It can also be defined as the product of mass and acceleration.Mathematically, force F = m*aThe momentum of an object is the product of its mass and velocity.
The formula for momentum is: momentum = mass x velocitySo, in the case of an 8-kg bowling ball rolling at 2 m/s, the momentum would be: momentum
= 8 kg x 2 m/s
= 16 kg m/s
To calculate the average force that the bowling ball exerts on the pillow, we can use the equation:
force = change in momentum / change in time
The change in momentum is equal to the final momentum minus the initial momentum.
Since the bowling ball is rolling at 2 m/s and stops in 0.5s,
we can assume that its final momentum is 0 (since it stops moving) and the initial momentum is 16 kg m/s.
change in momentum = final momentum - initial momentum
= 0 - 16 kg m/s
= -16 kg m/s
change in time = 0.5s
So,
force = -16 kg m/s / 0.5 s
= -32 N (Newton)
Therefore the average force exerted on the pillow is -32 N.
the question is incomplete, the complete question is "What is the momentum of an 8-kg bowling ball rolling at 2 m/s? If the bowling ball rolls into a pillow and stops in 0.5 s, calculate the average force it exerts on the pillow".
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Which of the following statements about this experiment is FALSE?
You may assume the collision between the bob and the box is completely inelastic.
Before each trial one should reshape the bab into something like a ball.
The initial position for the box should be just touching the pendulum bob when it is hanging straight down.
To make the box move, the pendulum bob should hit close to the bottom of the box during the collision.
The statement "before each trial one should reshape the bob into something like a ball" is false regarding the experiment.
If we assume the collision between the bob and the box is completely inelastic, then shape of the bob does not play any role in the time period of the plumb bob or the collision impact of the bob on the box. However the second statement which says that the initial position for the box should be just touching the pendulum bob, is true. This is because then initial position of the bob will become the mean position and we know at the mean position the kinetic energy of the bob is maximum.
For the third statement, the pendulum bob should hit close to the bottom of the box during the collision to make the box move, is also true. This is because the bottom surface experiences the maximum friction force, which can be reduced at maximum amount if bob impact closer to the bottom.
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HELP PLEASE HELP PLEASE HELP PLEASE
What is a comparison of two quantities called?
The comparison, by division of twosimilar quantities is called ratio and proportion. A ratio that specifically compares two quantities measured in different units.
a. True
b. False
The comparison of two quantities by division of two similar quantities is called ratio and proportion and the given statement is true.
A ratio is a way of comparing amounts. A ratio shows the number of times an amount is contained in another, or how much bigger one amount is than another.
The two numbers are both parts of the whole, If I need to mix some cement, then I could add two parts cement to four parts sand. Hence the ratio 2:4 (6 parts in total). The written bis important; 4:2 would give a different mix.
Ratios are written to their simplest form. In the figure to the right we have 15 red dots and five green dots. The ratio is 15:5; however, this can be reduced to the simplest form as we do with fractions.
The ratio as we can see in the graphic is also 3:1, if you look at the relationship of the numbers 15:5 as is 3:1, we can see that 3 is multiplied by 5 to get 15 and so is the one to get five.
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I need help with this
Two objects exert a gravitational force, Fg on each other. Match each change in the distance d between the objects or the mass m of one of the objects to its effect on the gravitational force. Each effect may be matched to more than one change or not be matched at all.
The correct match of the change in mass or distance and the effect of change on the gravitational force between two objects are given below:
d → 2d and m in unchanged ----> Fg → (1/4) Fg
m → 2m and d is unchanged ---> Fg → (2) Fg
d → 2d and m → 2m ---> Fg → Fg
d → (1.2) d and m is unchanged ---> Fg → (4) Fg
m → (1/2) m and d is unchanged ---> Fg → (1/2) Fg
What is gravitational force?Gravitational force is the force that pushes mass-containing objects toward one another. We frequently consider the pull of gravity from the Earth. Your body is kept on the ground by this force. However, all mass-bearing objects are pulled toward one another by gravity.
The gravitational force depends on the magnitude of the masses and the distance between the masses.
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What types of cooling systems do EVs and HEVs have?
Electric Vehicles (EVs) and Hybrid Electric Vehicles (HEVs) use a range of different cooling systems to ensure that their batteries, motors, and other components are kept at optimal temperatures.
Generally, EVs and HEVs use air-cooling systems that draw air over the components to keep them from overheating. Some EVs and HEVs also have liquid-cooling systems, which use coolant to more efficiently dissipate heat away from the components.
Additionally, some EVs and HEVs use a combination of both air and liquid cooling systems for maximum efficiency.
Electric Vehicles (EVs) and Hybrid Electric Vehicles (HEVs) have different cooling systems to keep their batteries and motors running optimally.
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How do you find the magnitude of a uniform electric field?
To find the magnitude of a uniform electric field, we can use formula E = (k * Q) / r^2.
What is the magnitude of the electrical field?The magnitude of the electric field is simply described as the force per charge on the test charge. The standard metric units on electric field strength come from its definition. Since electric field is described as a force per charge, its units would be force units divided by charge units.
The electric field formula or magnitude of electric field equation for an electric charge Q at distance r from the charge is:
E = (k * Q) / r^2
where:
k is a constant which called Coulomb's constant and is equal to 8.987x109Nm^2/C^2.Q is the source's charge, which measured in coulombs (C).r is the distance from the charge to the point of measurement, in units of meters (m).E is the electric field, which measured by Newton per coulomb (N/C).Learn more about magnitude of the electrical field at: https://brainly.com/question/28561944
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A 1. 0\, \text {kg}1. 0kg1, point, 0, tart text, k, g, end text cart moving right at 5. 0\,\dfrac{\text m}{\text }5. 0
m
5, point, 0, tart fraction, tart text, m, end text, divided by, tart text, , end text, end fraction on a frictionle track collide with a econd cart moving right at 2. 0 \,\dfrac{\text m}{\text }2. 0
m
2, point, 0, tart fraction, tart text, m, end text, divided by, tart text, , end text, end fraction. The 1. 0\, \text {kg}1. 0kg1, point, 0, tart text, k, g, end text cart ha a final peed of 0. 50\,\dfrac{\text m}{\text }0. 50
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0, point, 50, tart fraction, tart text, m, end text, divided by, tart text, , end text, end fraction to the right, and the econd cart ha a final peed of 2. 3\,\dfrac{\text m}{\text }2. 3
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2, point, 3, tart fraction, tart text, m, end text, divided by, tart text, , end text, end fraction to the right
The total initial momentum of 7.0 kgm/s is 2.8 kgm/s,
This scenario describes an inelastic collision between two carts. In an inelastic collision, the total kinetic energy of the system is not conserved and some of it is converted into other forms of energy, such as heat or sound.
Using the principle of conservation of momentum, we can calculate the final velocities of the two carts after the collision. The initial momentum of the first cart is 1.0 kg * 5.0 m/s = 5.0 kgm/s. The initial momentum of the second cart is 1.0 kg * 2.0 m/s = 2.0 kgm/s. The total initial momentum of the system is 5.0 kgm/s + 2.0 kgm/s = 7.0 kg*m/s.
After the collision, the final momentum of the two carts is equal to the total initial momentum, since no external forces are acting on the system. Therefore, the final momentum of the first cart + the final momentum of the second cart = 7.0 kg*m/s.
We can use the final velocities given in the problem to solve for the final momentum of each cart.
The final momentum of the first cart is 1.0 kg * 0.50 m/s = 0.50 kgm/s
The final momentum of the second cart is 1.0 kg * 2.3 m/s = 2.3 kgm/s
And add them: 0.50 kgm/s + 2.3 kgm/s = 2.8 kgm/s, which is equal to the total initial momentum of 7.0 kgm/s.
We can also observe that the final velocity of the first cart is less than its initial velocity, while the final velocity of the second cart is greater than its initial velocity. This is expected in an inelastic collision as some of the kinetic energy of the system is converted into other forms of energy, causing the final velocities of the carts to be different from their initial velocities.
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