Answer:
600
Explanation:
Resistors that are connected in series are simply added. So three 200 ohm resistors connected in series make 200 + 200 + 200 = 600
Which best describes what happens when light traveling through air enters water at an angle?
It moves along straight lines in air and changes direction when it enters water.
O It moves in a curve in air and moves in straight lines when it enters water.
O It moves along straight lines in air and continues along the same lines when it enters water.
O It moves in a curve in air and continues moving in the same curve when it enters water.
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Answer:
When light traveling through air enters water at an angle, it moves in a curve in air and changes direction when it enters water. This bending of light is known as refraction. The angle at which the light bends depends on the difference in the refractive indices of the two media, which is why the light bends when it enters the denser medium of water.
What are two important factors to consider when describing the effect of an applied force on an object’s motion
The magnitude of the applied force and the mass of the object, together determine how an object's motion will change in response to the applied force.
When describing the effect of an applied force on an object's motion, two important factors to consider are:
Magnitude of the Force: The magnitude or strength of the applied force determines the amount of acceleration or deceleration experienced by the object. According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. A greater force will result in a greater acceleration, while a smaller force will result in a smaller acceleration. Additionally, the direction of the force relative to the object's initial motion will determine if it speeds up, slows down, or changes direction.
Mass of the Object: The mass of the object being acted upon is another crucial factor. As mentioned earlier, according to Newton's second law, the acceleration of an object is inversely proportional to its mass. This means that for a given force, an object with a larger mass will experience a smaller acceleration compared to an object with a smaller mass. In simpler terms, it requires more force to accelerate a heavier object compared to a lighter object.
These two factors, the magnitude of the applied force and the mass of the object, together determine how an object's motion will change in response to the applied force.
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The majority of the fresh water on Earth is frozen in glaciers and ice caps. If the climate changed around the world, causing glaciers and ice caps to melt, which situation would most likely occur?
Responses
A Land would become more fertile.
B Air temperatures would decrease.
C Ocean water would become saltier.
D Land masses would become smaller.
The most likely situation to occur if the climate changed and caused glaciers and ice caps to melt is:
D. Land masses would become smaller.
When glaciers and ice caps melt due to climate change, the water released from the melting ice flows into rivers, lakes, and eventually the oceans. This increase in water volume contributes to a rise in sea levels. As sea levels rise, low-lying coastal areas and islands may become submerged, leading to a reduction in the size of land masses.
In addition, the melting of glaciers and ice caps can cause other changes in the environment. While it might seem like the added freshwater could make the ocean water less salty, the influx of cold freshwater can actually disrupt ocean currents, which are crucial for regulating Earth's climate. As a result, certain regions may experience altered weather patterns and temperatures. However, these changes are complex and interconnected, making it difficult to predict specific outcomes, such as air temperature decrease or increased land fertility, solely based on melting ice caps and glaciers.
Overall, the most direct and likely impact of melting glaciers and ice caps on a global scale would be the reduction in land mass size due to rising sea levels.
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Rainwater draining from a neighborhood street initially travels at 4 ft/s through a pipe with a cross-sectional area of 15.7 ft2. This pipe connects down the street to another pipe with a cross-sectional area of 65.4 ft2. What would be the speed of the water as it moves through this larger pipe?
Answer:
The velocity is \(v_2 = 0.96 \ ft/s\)
Explanation:
From the question we are told that
The initial speed is \(v_1 = 4 \ ft/s\)
The cross -sectional area of the first pipe is \(A_1 = 15.7 \ ft\)
The cross -sectional area of the second pipe is \(A_2 = 65.4 \ ft\)
Generally from continuity equation we have that
\(A_1 * v_1 = A_2 * v_2\)
So
\(v_2 = \frac{A_1 * v_1 }{A_2 }\)
=> \(v_2 = \frac{15.7 * 4 }{65.4 }\)
=> \(v_2 = 0.96 \ ft/s\)
The study of heat is ____?
Explanation:
thermodynamics is the study of heat.
Answer The study of heat and its relationship to useful work is called thermodynamics and involves macroscopic quantities such as pressure, temperature, and volume without regard for the molecular basis of these quantitie
Explanation:
A loop of wire carrying a steady current I is initially at rest perpendicular to a uniform magnetic field of magnitude B, as shown above. The loop is then rotated about a diameter at a constant rate. The torque on the loop is maximum when the loop has rotated, with respect to its initial position, through an angle of:__________.
(A) 30°
(B) 45°
(C) 90°
(D) 180°
(E) 360°
your answer is b to be presided
what is Muscular system
The nose is relation to the foot
RLLY?
Explanation:
ALSO
MY DAD ALWAYS TELLS ME THAT IF YOUR FEET ARE COLD THAT YOU NEED TO PUT A HAT ON?!?!?!?!?!
a current of a 6 flows through a light bulb for 12 s, how many coulombs of charge pass through the light bulb during this time
A current of a 6 flows through a light bulb for 12 s. The total charge that passes through the light bulb during the given time is 72 coulombs.
To calculate the total charge that passes through the light bulb, we need to use the formula Q = I * t, where Q represents the charge in coulombs, I represents the current in amperes, and t represents the time in seconds.
Step 1: Identify the known values:
Current (I) = 6 amperes
Time (t) = 12 seconds
Step 2: Calculate the charge using the formula:
Q = I * t
Step 3: Substitute the known values into the formula:
Q = 6 amperes * 12 seconds
Q = 72 coulombs
Therefore, the total charge that passes through the light bulb during the given time is 72 coulombs.
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A 12-volt battery maintains a 4.5A current through a resistor. What is the resistance of the resistor.
The cylinder of a heat engine is filled with an air-fuel mixture. Which property of gases is essential to heat engines ability to do work?
Answer: Pressure of gases.
Explanation:
In a heat engine, the air-fuel mixture is ignited, which causes an increase in pressure of the gases inside the cylinder. This pressure pushes the piston, which is connected to a crankshaft, causing it to rotate and do work. Therefore, pressure is an essential property of gases for the ability of a heat engine to do work.
Where do daughter cells obtain their dna
Answer:
The parent cell
Explanation:
Answer
Mitosis phase - The DNA in the parent cell nucleus makes a copy of itself and is then split between the two daughter cells during mitosis
Explanation
This is biology, not really physics.
The pressure in an automobile tire depends on the temperature of the air in the tire. When the air temperature is 25 degree C. the pressure gage reads 210 kPa. If the volume of the tire it 0.025 m3 determine the pressure rise in 0k tire when the air temperature in the tire rises to 50 degree C. Also, determine the amount of air that must be bled off to restore pressure to its original value at this temperature. Assume the atmospheric pressure is 100 kPa
0.00455 moles of air must be released from the tire to restore the pressure to 210 kPa at 50 degrees C.
The pressure rise in a 0k tire when the air temperature rises from 25 degrees C to 50 degrees C can be calculated using the ideal gas law. The formula is
PV = nRT
where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature. In this case, the temperature is rising from 25 degrees C to 50 degrees C, so the pressure will increase with the temperature.
By plugging these values into the equation, we can calculate that the pressure increase is 45.5 kPa.
To restore the pressure to its original value of 210 kPa at 50 degrees C, we need to bleed off the amount of air equal to the pressure increase. This is equal to 45.5 kPa, or 0.00455 moles. This means that 0.00455 moles of air must be released from the tire to restore the pressure to 210 kPa at 50 degrees C.
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Based on what you saw, how would you describe the car's velocity? Discuss both its speed and its direction. Mention any change to speed or direction you observe.
Based on the observations during the experiment, the car's velocity can be described as follows. .
Car's VelocityThe car had a constant speed of approximately 60 km/h throughout the experiment,indicating a consistent rate of motion.
In terms of direction, the car initially traveledin a straight line towards the east.
However, after a certain point, it made a sharp turn towards the north, changing its direction but maintaining thesame speed.
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A gas is heated from temperature T1 to T2 (T2 > T1). In this context, which of the following statements is correct? Multiple Choice Energy required to heat the gas at constant pressure is greater than the energy needed to heat it at constant volume. Energy required to heat the gas at constant pressure is lower than the energy needed to heat it at constant volume. Energy required to heat the gas at constant pressure is non-zero and the energy required to heat it at constant volume is zero. Energy required to heat the gas at constant pressure is zero and the energy required to heat it at constant volume is non-zero.
Energy required to heat the gas at constant pressure is greater than the energy needed to heat it at constant volume. The correct statement is option (a).
This is because, during heating, the gas undergoes an increase in temperature and, therefore, an increase in internal energy. The amount of energy required to increase the internal energy of the gas depends on the specific heat of the gas and the change in temperature. At constant pressure, the volume of the gas also changes, requiring additional energy to perform work against the surrounding pressure.
Hence, more energy is required to heat the gas at constant pressure compared to constant volume, where the volume remains the same and no work is done.
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--The complete question is, A gas is heated from temperature T1 to T2 (T2 > T1). In this context, which of the following statements is correct?
Multiple Choice
a. Energy required to heat the gas at constant pressure is greater than the energy needed to heat it at constant volume.
b. Energy required to heat the gas at constant pressure is lower than the energy needed to heat it at constant volume.
c. Energy required to heat the gas at constant pressure is non-zero and the energy required to heat it at constant volume is zero.
d. Energy required to heat the gas at constant pressure is zero and the energy required to heat it at constant volume is non-zero.--
A metal ball began a free fall from the top of a building towards a sandy soil ground so that its velocity at the moment of striking the ground was 30 m/s, if the ball stopped after 0.01 s of penetrating the sand and the average resistance force of the sand again the motion of the ball was-3010 N, the mass of the ball is approximately equal to (Given that: The acceleration due to gravity is 10 m/s²)
The mass of the metal ball is approximately equal to 0.1 kg.
Freefall is a type of motion in which an object falls with gravitational acceleration without resistance from air, surface, or medium. In a freefall, the only force acting on an object is the force of gravity. In a freefall, the acceleration of an object is given by the formula: `g = 9.81 \(m/s^2`\)
The final velocity of a freefalling object can be calculated using the formula: `v = g*t `Where v is the final velocity, g is the gravitational acceleration, and t is the time taken to reach the final velocity. The force acting on an object is equal to the product of the mass of the object and the acceleration acting on the object. This is known as Newton's Second Law of Motion.
The formula for calculating force is: `F = ma`.Where F is the force acting on the object, m is the mass of the object, and a is the acceleration acting on the object.Given that the velocity of the metal ball at the moment of striking the ground was 30 m/s, and that it stopped after penetrating the sand for 0.01 s, we can calculate the mass of the metal ball using the formula for force.
We can assume that the force acting on the metal ball is equal to the average resistance force of the sand against the motion of the ball.
The formula for calculating force is: `F = ma`.
Rearranging the formula, we get: `m = F/a` .
Substituting the given values, we get: `
m = -3010/10`
Thus, the mass of the metal ball is approximately equal to 0.1 kg.
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A competitive go-cart driver is traveling 32 m/s. He sees a caution flag go up, so he slows at a rate of -1.5 m/s2 in 10.8 s. What is his final velocity?
15.8m/s is the final velocity
Deceleration is calculated by dividing the final velocity minus the initial velocity by the time it takes for this velocity to drop. Here the acceleration formula can be used with a negative sign to determine the deceleration value.
The rate of change of the velocity of an object in the time is known as Acceleration . Velocity is defined as the speed of an object in motion by time.
here we know that the initial velocity is 32m/s.
the deceleration is -1.5m/s2 and the time taken is 10.8s
so from the formula
V=U + at
= 32+-1.5 x10.8
=15.8m/s
So the final velocity is 15.8m/s
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ANSWER DIS ASAP FOR LUCK TMRW :}
List down ten situations that show how friction affects the movement of objects. I NEED THE ANSWER IN ONE MINUTE
Answer:
Walking –We can walk only if we apply frictional force. Friction is what holds your shoe to the ground. The friction present on the ice is very little, this is the reason why it is hard to walk on the slippery surface of the ice.
Writing – A frictional force is created when the tip of the pen comes in contact with the surface of the paper. Rolling friction is what comes into play while writing with a ballpoint pen while sliding friction arises when one writes with a pencil.
Skating – A thin film of water under the blade is necessary to make the skate slide. The heat generated by the skate blade rubbing against the surface of ice causes some of the ice to melt right below the blade where the skater glides over the ice. This water acts as a lubricant reducing friction.
Lighting a matchstick – When the head of the matchstick is rubbed against a rough surface, heat is generated and this heat converts red phosphorous to white phosphorous. White phosphorous is highly inflammable and the match stick ignites. Sometimes, matchsticks fail to ignite due to the presence of water. Water lowers friction.
Driving of the vehicle on a surface- While driving a vehicle, the engine generates a force on the driving wheels. This force initiates the vehicle to move forwards. Friction is the force that opposes the tyre rubber from sliding on the road surface. This friction avoids skidding of vehicles.
Applications of breaks in the vehicle to stop it- Friction braking is the most widely used braking method in vehicles. This process involves the conversion of kinetic energy to thermal energy by applying friction to the moving parts of a vehicle. The friction force resists the motion and in turn, generates heat. This conversion of energy eventually bringing the velocity to zero.
Flight of aeroplanes- Drag is the force that opposes the forward motion of the aeroplane. The friction which resists the motion of an object moving through a fluid or immobile in a moving fluid, as occurs when we fly a kite. The friction of the air is created as it meets and passes over an aeroplane and its components. Drag is generated by air impact force, skin friction and displacement of the air.
Drilling a nail into the wall- Friction is responsible for fixing of nails in a wall. As the nail is driven into the wall, the nearby material to the nail of the wall gets compressed. This exerts a force on the nail. This force is the friction that converts the normal force exerted by the compressed layers of the wall into the resisting shear force. In this manner the friction cause nails and screws to hold on to walls.
The dusting of the carpet by beating it with a stick- When the carpet is beaten with the stick, the dust comes out. The dust is carried off by the wind or falls on the floor. The carpet exhibits a little static friction that holds the dust to the carpet. When the carpet is beaten, it will overcome the friction and the carpet will move away from the dust making the carpet free from dust.
Sliding on a garden slide- We know that friction is a force that is present whenever two objects rub against each other. In case of a slide in the garden such as a slide and a person’s backside rub each other’s surface. Without friction, a slide would accelerate the rider too quickly, resulting in possible injury due to the fall. The friction reduces the velocity of the sliding person and makes him stop.
Hope that helps! :D Sorry if it's too lengthy...
Explanation:
What is the density of a 700 kg object with a volume of 649 m3
Can someone explain how to do the algebra for this question? I know everything else, I just don’t know how to rearrange the question to solve for v.
Answer:
Refer to the step-by-step Explanation.
Step-by-step Explanation:
Simplify the equation with given substitutions,
Given Equation:
\(mgh+(1/2)mv^2+(1/2)I \omega^2=(1/2)mv_{_{0}}^2+(1/2)I \omega_{_{0}}^2\)
Given Substitutions:
\(\omega=v/R\\\\ \omega_{_{0}}=v_{_{0}}/R\\\\\ I=(2/5)mR^2\)\(\hrulefill\)
Start by substituting in the appropriate values: \(mgh+(1/2)mv^2+(1/2)I \omega^2=(1/2)mv_{_{0}}^2+(1/2)I \omega_{_{0}}^2 \\\\\\\\\Longrightarrow mgh+(1/2)mv^2+(1/2)\bold{[(2/5)mR^2]} \bold{[v/R]}^2=(1/2)mv_{_{0}}^2+(1/2)\bold{[(2/5)mR^2]}\bold{[v_{_{0}}/R]}^2\)
Adjusting the equation so it easier to work with.\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2} \Big[\dfrac{2}{5} mR^2\Big]\Big[\dfrac{v}{R} \Big]^2=\dfrac12mv_{_{0}}^2+\dfrac12\Big[\dfrac25mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\)
\(\hrulefill\)
Simplifying the left-hand side of the equation:
\(mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2} \Big[\dfrac{2}{5} mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\)
Simplifying the third term.
\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2} \Big[\dfrac{2}{5} mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2}\cdot \dfrac{2}{5} \Big[mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\)
\(\\ \boxed{\left\begin{array}{ccc}\text{\Underline{Power of a Fraction Rule:}}\\\\\Big(\dfrac{a}{b}\Big)^2=\dfrac{a^2}{b^2} \end{array}\right }\)
\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v^2}{R^2} \Big]\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2 \cdot\dfrac{v^2}{R^2} \Big]\)
"R²'s" cancel, we are left with:
\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v^2}{R^2} \Big]\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5}mv^2\)
We have like terms, combine them.
\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v^2}{R^2} \Big]\\\\\\\\\Longrightarrow mgh+\dfrac{7}{10} mv^2\)
Each term has an "m" in common, factor it out.
\(\Longrightarrow m(gh+\dfrac{7}{10}v^2)\)
Now we have the following equation:
\(\Longrightarrow m(gh+\dfrac{7}{10}v^2)=\dfrac12mv_{_{0}}^2+\dfrac12\Big[\dfrac25mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\)
\(\hrulefill\)
Simplifying the right-hand side of the equation:
\(\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac12\cdot\dfrac25\Big[mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15\Big[mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15\Big[mR^2\Big]\Big[\dfrac{v_{_{0}}^2}{R^2}\Big]\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15\Big[mR^2\cdot\dfrac{v_{_{0}}^2}{R^2}\Big]\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15mv_{_{0}}^2\Big\\\\\\\\\)
\(\Longrightarrow \dfrac{7}{10}mv_{_{0}}^2\)
Now we have the equation:
\(\Longrightarrow m(gh+\dfrac{7}{10}v^2)=\dfrac{7}{10}mv_{_{0}}^2\)
\(\hrulefill\)
Now solving the equation for the variable "v":
\(m(gh+\dfrac{7}{10}v^2)=\dfrac{7}{10}mv_{_{0}}^2\)
Dividing each side by "m," this will cancel the "m" variable on each side.
\(\Longrightarrow gh+\dfrac{7}{10}v^2=\dfrac{7}{10}v_{_{0}}^2\)
Subtract the term "gh" from either side of the equation.
\(\Longrightarrow \dfrac{7}{10}v^2=\dfrac{7}{10}v_{_{0}}^2-gh\)
Multiply each side of the equation by "10/7."
\(\Longrightarrow v^2=\dfrac{10}{7}\cdot\dfrac{7}{10}v_{_{0}}^2-\dfrac{10}{7}gh\\\\\\\\\Longrightarrow v^2=v_{_{0}}^2-\dfrac{10}{7}gh\)
Now squaring both sides.
\(\Longrightarrow \boxed{\boxed{v=\sqrt{v_{_{0}}^2-\dfrac{10}{7}gh}}}\)
Thus, the simplified equation above matches the simplified equation that was given.
A body starts from rest and accelerates uniformly at 5m/s. Calculate the time taken by the body to cover a distance of 1km
Answer:
20 seconds
Explanation:
We are given 2 givens in the first statement
v0=0 and a=5
And we are trying to find time needed to cover 1km or 1000m.
So we use
x-x0=v0t+1/2at²
Plug in givens
1000=0+2.5t²
solve for t
t²=400
t=20s
. A 5cm tall object is placed perpendicular to the principal axis of a convex lens of focal
length 10 cm. The distance of the object from the lens is 15 cm. Find the nature, position
and size of the image. Also find its magnification
The nature of the image formed by the convex lens is virtual, the position of the image is 30 cm away from the lens on the same side as the object, and the size of the image is twice the size of the object. The magnification is 2, meaning the image is magnified.
Given:
Object height (h) = 5 cm
Focal length of the convex lens (f) = 10 cm
Object distance (u) = 15 cm (positive since it's on the same side as the incident light)
To determine the nature, position, and size of the image, we can use the lens formula:
1/f = 1/v - 1/u
Substituting the given values:
1/10 = 1/v - 1/15
To simplify the equation, we find the common denominator:
3v - 2v = 2v/3
Simplifying further:
v = 30 cm
The image distance (v) is 30 cm. Since the image distance is positive, the image is formed on the opposite side of the lens from the object.
To find the magnification (M), we use the formula:
M = -v/u
Substituting the values:
M = -30 / 15 = -2
The magnification is -2, indicating that the image is inverted and twice the size of the object.
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A dandelion seed floats to the ground in a mild wind with a resultant velocity of 26.0 cm/s. If the horizontal component velocity due to the wind is 10.0 cm/s, what is the vertical component velocity? Show all work.
Answer:
24 cm/s
Explanation:
Applying
Pythagoras theorem,
a² = b²+c²............. Equation 1
Where a = resultant, b = vertical component, c = horizontal component
From the question,
Given: a = 26 cm/s, c = 10 cm/s
Substitute these values into equation 1
26² = b²+10²
676 = b²+100
b² = 676-100
b² = 576
b = √576
b = 24 cm/s
A block with a mass of 0.26 kg is attached to a horizontal spring. The block is pulled back from its equilibrium position until the spring exerts a force of 1.2 N on the block. When the block is released, it oscillates with a frequency of 1.4 Hz. How far was the block pulled back before being released?
Answer:
2
Explanation:
pulling force because of it force
Answer:
5.9 cm
Explanation:
f: frequency of oscillation
frequency of oscillationk: spring constant
frequency of oscillationk: spring constantm: the mass
\(f = \frac{1}{2\pi} \sqrt{ \frac{k}{m} } \)
in this problem we know,
F= 1.4 Hz
m= 0.26 kg
By re-arranging the formula we get
\(k = {(2\pi \: f )}^{2} m = {(2\pi(1.4hz))}^{2} 0.26kg = 20.1 \frac{n}{m} \)
The restoring force of the spring is:
F= kx
where
F= 1.2 N
k= 20.1 N/m
x: the displacement of the block
\(x = \frac{f}{k} = \frac{1.2 \: n}{20.1 \frac{n}{m} } = 0.059m \: = 5.9 \: cm\)
EXPLAIN HOW MAGNETIC MATERIALS ARE SEPARATED FROM COAL
A procedure known as magnetic separation can be used to extract magnetic elements from coal.
This method makes use of the magnetic characteristics of some materials to distinguish them from non-magnetic materials like coal. A description of how magnetic separation can be used to remove magnetic components from coal is given below:
Putting a magnetic field around the coal and magnetic material mixture is the first step in the magnetization process. This can be achieved by creating an electromagnetic field or by putting the mixture close to a powerful magnet.
Magnetism: Magnetic materials, such as iron atoms or magnetite that are frequently found in coal, will be drawn to the magnetic field and become magnetized. They line up their magnetic moments with the magnetic field's direction.
Separation: The magnetic coal components can be physically separated from the non-magnetic coal once they have been magnetized. To create this separation, there are numerous techniques:
Magnetic Drum Separator: Using this technique, the mixture is run through a spinning, magnetized drum. The non-magnetic coal can now go along the conveyor belt without being interfered with by the magnetic materials, which adhere to the surface of the drum and are removed from the coal. Magnetic Pulley Separator: This method involves mounting a magnetic pulley at the discharge end of a conveyor belt that is transporting the mixture. The magnetic pulley draws in and gathers the magnetic elements as the belt moves, sending them to a different location for collecting.Magnetic fluid separation includes floating the mixture in a liquid medium and using a magnetic field to draw and separate the magnetic particles. By using filtration or decantation, the magnetic materials can be separated from one another.Learn more about coal from the given link:
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A car with mass mc = 1225 kg is traveling west through an intersection at a magnitude of velocity of vc = 9.5 m/s when a truck of mass mt = 1654 kg traveling south at vt = 8.6 m/s fails to yield and collides with the car. The vehicles become stuck together and slide on the asphalt, which has a coefficient of friction of μk = 0.5.
A) Write an expression for the velocity of the system after the collision, in terms of the variables given in the problem statement and the unit vectors i and j.
B) How far, in meters, will the vehicles slide after the collision?
Answer:
a) v(f) = -4i - 5j
b) 4.18 m
Explanation:
The equation to be used for this question is
v(c)m(c) + v(t)m(t) = [m(c) + m(t)] v(f)
if we rearrange and make v(f) subject of formula, then
v(f) = v(c)m(c) + v(t)m(t) / [m(c) + m(t)]
One vehicle is headed towards south and the other vehicle, west when they collide they will travel together in a southwestern direction. This means that both vehicles are traveling in the negative direction taking a standard frame of reference. Thus, we can write the equation in component form by substituting the values as
v(f) = 1225(-9.5i) + 1654(-8.6j) / 1225 + 1654
v(f) = -11637.5i - 14224.4j / 2879
v(f) = -4i - 5j m/s
From the answer,
v(f) = √(4² + 5²)
v(f) = √41
v(f) = 6.4 m/s
And we know that
KE = ½mv²
Fd = umgd
And, KE = Fd, so
½mv² = umgd
½v² = ugd
Making d the subject of formula,
d = v²/2ug
d = 6.4² / 2 * 0.5 * 9.8
d = 41 / 9.8
d = 4.18 m
(a) The velocity of the system after collision is 4.04 i + 4.9 j.
(b)The distance traveled by the vehicles after collision is 1.73 m.
The given parameters;
mass of the car, Mc = 1225 kgvelocity of the car, Vc = 9.5 m/smass of the truck, Mt = 1654 kgvelocity of the truck, Vt = 8.6 m/sApply the principle of conservation of linear momentum to determine the velocity of the system after collision;
\(m_1u_x_1 + m_2 u_y_2 = V(m_1 + m_2)\\\\V = \frac{(1225\times 9.5)_x \ + \ (1654 \times 8.6)_y}{m_1 + m_2} \\\\V = \frac{(1225\times 9.5)_x \ + \ (1654 \times 8.6)_y}{1225+ 1654} \\\\V= \frac{(11,637.5)_x \ + \ (14,224.4)_y}{2879} \\\\V = 4.04x \ + 4.94y\\\\V = 4.04i \ + 4.9 j\)
The magnitude of the final velocity of the system is calculated as;
\(V = \sqrt{v_x^2 + v_y^2} \\\\V = \sqrt{(4.04)^2 + (4.9)^2} \\\\V = 6.35 \ m/s\)
The change in the mechanical energy of the system;
\(\Delta K.E = K.E_f - K.E_i\\\\\)
The initial kinetic energy of the cars before collision is calculated as;
\(K.E_i = \frac{1}{2} m_1u_1_x^2 \ + \frac{1}{2} m_1u_2_y^2 \\\\K.E_i = \frac{1}{2} (1225)(9.5)^2\ + \frac{1}{2} (1654)(8.6)^2\\\\K.E_i = 55,278.13_x \ + \ 61,164.92_y\\\\K.E_i = \sqrt{55,278.13^2 \ + \ 61,164.92^2} \\\\K.E_i = \sqrt{6,796,819,094.9} \\\\K.E_i = 82,442.82 \ J\)
The final kinetic energy of the system;
\(K.E_f = \frac{1}{2} (m_1 + m_2)V^2\\\\K.E_f = \frac{1}{2} (1225 + 1654)(6.35)^2\\\\K.E_f = 58,044.24 \ J\)
The change in kinetic energy is calculated as;
\(\Delta K.E = K.E_f -K.E_i\\\\\Delta K.E= (58,044.24) - (82,442.82)\\\\\Delta K.E = -24,398.58 \ J\)
Apply the principle of work-energy theorem, to determine the distance traveled by the vehicles after collision;
\(W = \Delta K.E\\\\- \mu Fd = - 24,398.58\\\\\mu mgd= 24,398.58\\\\d = \frac{24,398.58}{\mu mg} \\\\d = \frac{24,398.58}{0.5 \times 9.8(1225 + 1654)} \\\\d = 1.73 \ m\)
Thus, the distance traveled by the vehicles after collision is 1.73 m.
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A parallel-plate capacitor has plate area A. A battery is used to charge the capacitor so that the magnitude of charge on each plate is Q, and then is disconnected. Initially, the capacitor has a plate separation of d. At this separation the capacitor contains energy U. The plates are then moved to a separation of 2d without disturbing the charge. What is the energy of the capacitor at this larger plate separation? Show work and steps.
(a) U
(b) U/2
(c) 2U
(d) U/4
(e) 4U
The energy of the capacitor at this larger plate separation will be= D) U/4
The energy stored in a parallel-plate capacitor with plate area A, plate separation d, and charge Q is given by the formula:
U = (1/2) * (Q^2 / (ε_0 * A * d))
where ε_0 is the permittivity of free space.
If the separation between the plates is increased from d to 2d without changing the charge on the plates, the capacitance of the capacitor will be reduced by a factor of 2. This is because the capacitance of a parallel-plate capacitor is given by the formula:
C = ε_0 * A / d
So, when the separation is doubled, the capacitance is halved.
Since the charge on the plates remains constant, the energy stored in the capacitor is proportional to the square of the charge and inversely proportional to the capacitance. Thus, the new energy of the capacitor when the plates are separated by 2d is given by:
U' = (1/2) * (Q^2 / (ε_0 * A * (2d))) * (1/2)
where the factor of 1/2 is included because the capacitance is halved.
Simplifying this expression, we get:
U' = U / 4
Therefore, the energy of the capacitor at the larger plate separation is (d) U/4.
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Which statement best describes why specific heat capacity is often more useful than heat capacity for scientists when comparing two materials?
Answer:
Specific heat capacity is an intensive property and does not depend on sample size.
Explanation:
Calculate the average maximum height for all three trials when the mass of the bottle is 0.125 kg, 0.250 kg,
0.375 kg, and 0.500 kg.
Record your calculations in Table A of your Student Guide.
When the mass of the bottle is 0.125 kg, the average maximum height of the beanbag is
m.
When the mass of the bottle is 0.250 kg, the average maximum height of the beanbag is
m.
When the mass of the bottle is 0.375 kg, the average maximum height of the beanbag is
m.
When the mass of the bottle is 0.500 kg, the average maximum height of the beanbag is
m.
Answer:
10
Explanation:
i dont know this is right answer
0.35
0.91
1.26
1.57
Explanation:
I did it on ed2020 and got it correct
A 0.016-kg piece of iron absorbs 1086.75 joules of heat energy, and its
temperature changes from 25°C to 175°C. Calculate the specific heat
capacity of iron. Equation : c = Q/mt
Answer:
c = 115.92 q/g C
Explanation:
0.016 kg = 16 grams
q = Joules
m = mass (g)
t = (final temp. - initial temp)
c = specific heat
c = (1086.75 joules) / (175 C - 25 C) (16 g)
c = 115.92 q/g C