To calculate the initial speed of the ball, you can use the equation v = s/t, where v is the velocity of the ball, s is the distance the ball traveled, and t is the time it took for the ball to travel that distance.
In this case, the ball traveled a distance of 9.8 meters (the height of the ball when first thrown, plus the height of the ball when it was caught) in 5 seconds, so the initial velocity of the ball would be 9.8 meters/5 seconds, or 1.96 m/s.
Initial speed is the speed of an object at a specific point in time. It is typically represented by the letter 'u' or 'v'. For example, if an object is thrown with an initial speed of 30 m/s, its speed at time t = 0 is 30 m/s.
Initial speed can also be used to calculate the average speed of an object over a period of time. For example, if an object moves at a speed of 10 m/s for 5 seconds and then has a speed of 20 m/s for another 5 seconds, its average speed over the 10 second period is 15 m/s.
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a tortoise can run with a speed of 0.15 m/s, and a hare can run 20 times as fast. in a race, they both start at the same time, but the hare stops to rest for 2.0 minutes. the tortoise wins by a shell (35 cm). (a) how long does the race take?
Race takes 14 seconds to complete.
We need to use the equation of motion:
d = vt
where d is the distance covered, v is the speed, and t is the time.
Let's assume that the hare covers a distance of x before it stops to rest, and the tortoise covers a distance of y in the same time. Since the hare is faster, it covers more distance than the tortoise before stopping to rest, so we can write:
[tex]x = 3.0 m/s * t[/tex]
[tex]y = 0.15 m/s * t[/tex]
After resting for 2.0 minutes or 120 seconds, the same as the distance the tortoise has to cover to win the race. Let's call this distance z.
We can write:
[tex]z = x - 0.35 m[/tex]
[tex]z = y[/tex]
[tex]3.0 m/s * t - 0.35 m = 0.15 m/s * t[/tex]
Solving for t, we get:
[tex]t = 14 s[/tex]
Therefore, the race takes 14 seconds to complete.
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A box with a mass of 25 kg is lifted to a height of 3 meters in 2 seconds. How much work was done?
Group of answer choices
735 J
958 J
245 J
75 J
Answer:
Explanation:
Work done = force x displacement
force = mass x acceleration (due to gravity)
work done =25 * 9.8 * 3 = 735J
Answer:
735 J
Explanation:
F (force) = ma = mg = 25kg × 9.81m/s² = 245.25N.
we are lifting, so the acceleration is going against Earth's gravity.
the work done to lift it up by 3 m is then
W = F×d = 245.25N×3 m = 735.75 J
the time (2 seconds) does not play a role here.
it would be needed to calculate the power needed to lift 25kg 3 m in 2 seconds :
power = W/t = 735.75/2 = 367.875 watts
10. Jared and Claire are climbing the stairs. Jared gets tired and stops halfway to the fourth floor. Claire makes it to the fourth floor without a problem. If Jared is twice as heavy as Claire, who has more gravitational potential energy? Explain your answer.
Answer:
They both have the same GPH
Explanation:
GPE = mgh
m = mass of Claire
2m = mass of Jared
h = height of Claire
h/2 = height of Jared
GPE-jared = (2m)(g)(h/2) = mgh
GPE-claire = mgh
They both have the same GPH
Which statement best describes the motion of the box when the forces pull on the box
the required net force acting on the box is the difference between the two forces, which is 7 N to the left.
What is force?Force is a physical quantity that describes the interaction between two objects. It is a vector quantity, meaning it has both magnitude and direction.
The net force acting on the box is the difference between the two forces, which is 14 N - 7 N = 7 N to the left.
According to Newton's second law of motion, an object will move in the direction of the net force acting on it, so in this case, the box will move to the left. The magnitude of the acceleration of the box will be proportional to the magnitude of the net force, so the greater the net force, the greater the acceleration of the box.
Thus, the required net force acting on the box is the difference between the two forces, which is 7 N to the left.
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Many measuring instruments have to be calibrated. What does this mean? Give an example.
Answer:
Explanation:
because we have to get a measuremt.
what is the magnitude of the electric force on a protein with this charge in a 1700 n/c electric field?
The magnitude of the electric force on a protein with this charge in a 1700 n/c electric field is F = q * 1700 N/C
Coulomb's law may be used to calculate the amount of the electric force on a protein with a particular charge in an electric field. According to Coulomb's law, the force between two charged particles is equal to the product of their charges and inversely proportional to the square of their distance. The force on a charged particle in an electric field is expressed as follows:
F = q * E, where q is the charge on the protein and E is the intensity of the electric field. The strength of the electric field is specified as 1700 N/C. Coulombs are the unit of charge (C).
As a result, the size of the protein's electric force may be estimated as follows:
F = q * E
= q * 1700 N/C
The force will be directed in the direction of the electric field. If the protein's charge is positive, the force will be directed in the same direction as the electric field. If the protein has a negative charge, the force will be in the opposite direction as the electric field.
It's vital to remember that the electric force on a protein is affected by its size, shape, and charge. Other parameters, such as the dielectric constant of the surrounding medium, may impact the electric force on a protein in some situations.
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a car of mass 1100 kg moves at 20 m/s. . a) what is its stopping distance? b) if the same car is moving at 40 m/s, what is its stopping distance?
A car of mass 1100 kg moves at 20 m/s the its stopping distance is 400m and 160 m.
Initial speed of the car is u.
Final speed of the car v = 0
Simply put, negative acceleration is a reverse acceleration. The velocity of the body may rise or fall. Acceleration is the term used to describe the change in velocity. The body experiences positive acceleration when its speed increases. Similar to this, as velocity falls, the acceleration turns negative and is known as negative acceleration.
Let the acceleration of the car be a.
Its stopping distance is 400m because s ∝ [tex]u^{2}[/tex] and s=400m by that form.
Using
[tex]v^{2} -u^{2}[/tex]= 2aS
0-u² = 2aS
s ∝ [tex]u^{2}[/tex] (for same a)
Now,
S = 40m u = 2u
[tex]\frac{S^{'} }{S} =\frac{u^{'2} }{u^{2} }[/tex]
[tex]\frac{S^{'} }{40} =4[/tex]
Then the distance will be,
S' = 160m
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A meter stick is balanced at its center using a support. A 0.45-N weight is hung on
the meter stick a distance 0.30 m from the center to the right. Where should you
place a 0.20-N weight such that the meter stick is in static equilibrium?
Plss
To balance a 0.45 N weight 0.30 m to the right of the center, a 0.20 N weight must be placed 0.15 m to the left of the center.
Where should you place a 0.20-N weight such that the meter stick is in static equilibrium?In order for the meter stick to be in static equilibrium, the net force on it must be equal to zero. If a 0.45 N weight is hung on the meter stick a distance of 0.30 m from the center to the right, a force will be exerted on the meter stick to the right. To balance this force and achieve static equilibrium, a force must be exerted in the opposite direction.To find the location where a 0.20 N weight should be placed to achieve static equilibrium, we must use the principle of moments. The principle of moments states that the sum of the clockwise moments about a pivot point must equal the sum of the counterclockwise moments about the same pivot point.So, to balance the 0.45 N weight hung 0.30 m to the right of the center, a 0.20 N weight must be placed 0.15 m to the left of the center. This will exert a force of 0.20 N in the opposite direction, balancing the 0.45 N force to the right and achieving static equilibrium.In summary:To achieve static equilibrium, the net force on a meter stick must be equal to zeroThe principle of moments states that the sum of clockwise moments must equal the sum of counterclockwise momentsTo balance a 0.45 N weight 0.30 m to the right of the center, a 0.20 N weight must be placed 0.15 m to the left of the center.To learn more about equilibrium refer:
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A car has a kinetic energy of 4.33 × 10^5 J when
traveling at a speed of 23 m/s.
What is its mass?
Answer:
Explanation:
The kinetic energy of a moving object is given by:
KE = (1/2)mv²
where KE is the kinetic energy, m is the mass of the object, and v is the velocity.
We can rearrange this equation to solve for the mass of the car:
m = 2KE / v²
Substituting the given values, we get:
m = 2(4.33 × 10^5 J) / (23 m/s)²
m = 2(4.33 × 10^5 J) / 529 m²/s²
m = 1.641 kg
Therefore, the mass of the car is approximately 1.641 kg.
The dependent variable, depends on the size of a wire
*
Electrical Resistance
Electrical Ground
Electric Circuit
The dependent variable, depends on the size of a wire is Electrical Resistance. Option A is correct.
The dependent variable that depends on the size of a wire is Electrical Resistance. Electrical resistance is a measure of the degree to which an object opposes the flow of electrical current through it.
The resistance of a wire is determined by its size, shape, and composition, among other factors. In general, as the size of a wire increases, its resistance decreases, all other factors being equal. This is because a larger wire has more space for electrons to flow through, reducing the likelihood of collisions and increasing the flow of current. Therefore, electrical resistance is directly dependent on the size of a wire.
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determine the speed at which the waves inside the tube propagate. describe your process in the space below
According to "Handbook of Speed of The sound for Real Gases" from A Zuckerwar, propane seems to have a speed of sound of 258 m/s at standard temperature and pressure (STP).
What is a clearer definition of sound?The mechanical radiant energy, that acts as the real source of hearing, is perceived by the sense of hearing and is transmitted via horizontal pressure waves inside a material medium (such as air).
What is sound in science?Sound is a type of energy produced by vibrations. The air molecules around a vibrating object move. By interacting with them, these molecules cause the vibration of molecules that are close by. They thus come across additional air molecules close by.
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a truck goes around a circular track of radius is 600 m at a speed of 10.0 m/s. how long does it take to complete on lap?
The truck will take 378.04 seconds or about 6 minutes and 18 seconds, to complete one lap of the circular track with radius 600 m at the speed of 10.0 m/s.
The track is circular of radius of 600 m. So the total distance the truck has to cover will be the circumference of that circular track.
i.e. 2 × π × 600 m = 3780.4 m
The speed of the truck is 10 m/s.
So to cover the distance the truck will take,
Time = 3780.4 / 10.0 = 378.04 s = 6 minutes and 18 seconds.
So the truck will take 378.04 s or 6 minutes and 18 seconds to complete one lap.
So the truck will take 378.04 seconds or about 6 minutes and 18 seconds, to complete one lap of the circular track with radius 600 m at the speed of 10.0 m/s.
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calculate the magnitude of the electric field inside the solid at a distance of 9.30 cm from the center of the cavity.
The magnitude of the electric field inside the solid at a distance of 9.50cm from the center of the cavity 3,65 × 10^5. N/C
A point charge ,q = -2.14×10^-6 C is located in the center of a spherical cavity of radius , 6.55×10^-2 m inside an insulating spherical charged solid.
The charge density in the solid , d = 7.3×10^-4 C/m³
Distance from the center of the cavity,R =9.3×10^-2
The Magnetic FieldA magnet is an object that can attract certain objects around it. Magnets affect the movement of metals through an intermediate medium called a magnetic field. Magnets can attract iron, steel, and other metals because they have a magnetic field at each pole. The greatest magnetic force of attraction lies at the two poles.
The magnetic field is an area where if a magnetic material is placed in it, the material will feel a magnetic force. So, the magnetic field is the area or space around the magnet that is still experiencing a magnetic force.
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your friend shows you a special kind of paper that can change color. he says that it will change color if it is out in the sun. can light from the sun cause the paper to change color? responses
No,light from the sun cannot cause the paper to change color.Light can only change things by warming them up , so it cannot cause the paper to change colour.
Light or apparent light is electromagnetic radiation that can be seen by the human eye.[1] Noticeable light is generally characterized as having frequencies in the scope of 400-700 nanometres (nm), relating to frequencies of 750-420 terahertz, between the infrared (with longer frequencies) and the bright (with more limited wavelengths).[2][3]
In physical science, the expression "light" may allude all the more comprehensively to electromagnetic radiation of any frequency, whether noticeable or not.[4][5] In this sense, gamma beams, X-beams, microwaves and radio waves are likewise light. The essential properties of light are power, proliferation bearing, recurrence or frequency range and polarization. Its speed in vacuum, 299792458 m/s, is one of the basic constants of nature.[6] Like a wide range of electromagnetic radiation, noticeable light proliferates by massless rudimentary particles called photons that addresses the quanta of electromagnetic field, and can be broke down as the two waves and particles. The investigation of light, known as optics, is a significant exploration region in present day material science.
Hence,answer is no.
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Identify the scenario, where the crash sensor of a car can possibly send signals to inflate the airbag in automobiles.
When a car is stopped abruptly by an impact, the airbags are inflated.
An airbag is an inflatable safety device designed to protect the occupants of a car in case of a collision. The airbags are part of an occupant restraint system and are also referred to as air cushion restraint system. Airbags supplement the basic protection offered by seat belts.
When a car is stopped abruptly by an impact, all bodies or objects that are not firmly fixed to the car will continue to move at the impact speed. The sensors measure this acceleration and relay it to the control unit as usable data.
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A rock is dropped from a height of 2.7 m. How fast is it going when it hits the ground?
This is the Answer: 7.3 m/s.
Explanation:
You can use the equation from the conservation of mechanical energy, potential energy to kinetic energy.
1/2 [tex]mv^{2}[/tex] = mgh ……… factoring out the mass m and multiplying both sides by 2
[tex]v^{2}[/tex] = 2gh …. v is its velocity, g = 9.8 [tex]m/s^{2}[/tex] and h = 2.7 m
[tex]v^{2}[/tex] = 2 * 9.8 [tex]m/s^{2}[/tex] * 2.7 m ….. the unit becomes [tex]m^{2}[/tex]/[tex]s^{2}[/tex]
[tex]v^{2}[/tex] = 52.92 [tex]m^{2}/s^{2}[/tex]
v = √(52.92) m/s
v = 7.3 m/s
When the rock hits the ground its velocity is 7.3 m/s.
WHAT DOES MGH MEAN? MEANING DOWN BELOW!!
“m” is the symbol for mass. This would be measures in kilograms (kg) in SI Units.
“g” is the symbol for the acceleration due to gravity. This value is the only one of these three symbols that is a constant. This constant will change depending on what planet, where you are in the universe, and how far from the surface of the planet you are. For Earth, the value used for SI is 9.81 m/s^2, and this is accurate within 15 kilometers of the Earth’s surface.
“h” is the symbol for the vertical height or position. What is interesting here is this value actually can change because in physics, we can design whatever parameters we want to. So, if I wanted to know the height of a ball that is over a table, you must ask what are we calling the point of vertical height equal to zero. Because this value can be either defined from ball to table surface or ball to ground below the table. This value is measured in meters (m) under SI.
Together the product of m, g, and h gives us what is called the gravitational potential energy. This is the amount of an energy that a certain object possesses because the force of gravity will pull it towards the ground in order to achieve a lower mechanical energy.
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suppose such a clock is calibrated correctly and then the temperature of the room in which it resides increases. does the clock run slow, fast, or correctly?
Warming causes the pendulum's length to lengthen, which lengthens the period. The clock will therefore run slowly.
What is a pendulum?
A weight that is suspended from a pivot so that it can swing freely is called a pendulum. A pendulum clock is a timepiece that keeps time by swinging a weight called a pendulum.
The length of time needed for a basic pendulum to complete one complete oscillation is known as its time period. The length of the pendulum also lengthens with temperature, lengthening the pendulum's period. As a result, it loses time as the temperature rises.
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what is the energy contained in a 1.00 m3 volume near the earth's surface due to radiant energy from the sun? see example 31-6 in the textbook.
The energy contained in a 1 m³ volume near the earth's surface due to radiant energy from the sun will be approximately equal to 5747.4 J.
The energy contained in a 1 m³ volume near the Earth's surface due to radiant energy from the Sun can be calculated. We can use the solar radiation energy flux formula for this.
Flux = I_s × (1 - α).
where, I_s can be the constant (solar constant) , α ⇒ alpha can be the fraction of solar radiation that is reflected by the Earth back.
Solar constant can be approximated as 1367 W/m² and like that alpha can also approximately the value of 0.3.
Now energy flux is equal to,
Flux = 1367 W/m² × (1 - 0.3) = 957.9 W/m².
To calculate the energy contained in a 1 m³ volume, multiply the energy flux by the volume's surface area. When the volume is a cube, the surface area is 6 times that of one face.
i.e. Energy = Flux × 6 × (1 m)² = 5747.4 W × 1 m²= 5747.4 J.
So, the energy contained in a 1 m³ volume near the earth's surface due to radiant energy from the sun will be approximately equal to 5747.4 J.
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aromatherapy uses which principle
Answer:
Aromatherapy uses the principle of olfactory stimulation, meaning it uses the sense of smell to affect the body and mind. Essential oils, which have distinct fragrances, are inhaled or applied topically to bring about physical and psychological benefits.
Answer: The basic principle of aromatherapy is to strengthen the self healing processes by indirect stimulation of the immune system.
Explanation:
What cause sound seismic and electromagnetic waves to transmit energy through different mediums
Answer:
Explanation:
Sound, seismic, and electromagnetic waves transmit energy through different mediums due to the motion of particles in the medium.
Sound waves transmit energy through the vibration of particles in a solid, liquid, or gas. The energy is transferred from particle to particle as the wave travels through the medium.
Seismic waves are created by the sudden release of energy from earthquakes, volcanic eruptions, or other geological events. These waves travel through the Earth's solid mantle and crust, transmitting energy through the vibration of particles in the rock.
Electromagnetic waves are a type of wave that does not require a medium to travel through. They are created by the motion of charged particles, such as electrons, and can travel through a vacuum, such as space. Electromagnetic waves transfer energy through the oscillation of electric and magnetic fields.
. where is the electric field the largest? where is it the smallest? how does the magnitude change as you move from one electrode to the other? on a dipole
The strength and direction of the electric field around a dipole are important in many areas of physics and engineering, such as in the design of antennas, electromagnetic radiation, and molecular interactions.
What is the electrode?
It is typically made of metal or a conductive material such as carbon, and is connected to a source of electrical current. The electrode is then placed in a circuit, allowing electricity to flow from the source to the nonmetallic part of the circuit.
In a dipole, the electric field is the strongest (largest) at the poles or tips of the dipole and the weakest (smallest) at the equator or midpoint between the poles. The direction of the electric field at any point on the dipole is always along the line joining the two charges.
As you move from one electrode to the other, the magnitude of the electric field decreases as you move away from the poles towards the equator. At the poles, the electric field is proportional to the magnitude of the charges and the distance between them. At the equator, the electric field is zero because the electric fields from the two charges cancel each other out.
It's important to note that the electric field around a dipole also varies with distance from the dipole. The magnitude of the electric field decreases as you move further away from the dipole, following an inverse square law.
The strength and direction of the electric field around a dipole are important in many areas of physics and engineering, such as in the design of antennas, electromagnetic radiation, and molecular interactions.
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the car of prob. 3/50 is traveling at 25 mi/hr when the driver applies the brakes, and the car continues to move along the circular path. what is the maximum deceleration possible if the tires are limited to a total horizontal friction force of 2400 lb?
When the driver hits the brakes, the car of Approx. $3 / 61$ is moving around the circular road at a speed of $25 mathrm mi / mathrm hr.
What makes speed different from speed?
The distance traveled in a unit of time is called speed. It refers to a thing's rate of movement. The scalar quantity known as speed is the velocity vector's magnitude. It has no clear direction. An thing is travelling more quickly when its speed is higher. It is traveling more slowly when the speed is lower. It has zero pace if it isn't traveling at all.
What is an object's typical speed?
The relationship between average speed and velocity is Vav = st. While velocity indicates the how fast and in what direction an object is travelling, speed merely indicates how rapidly an object is moving. A car's speed has been mentioned if it is stated to be 60 km/h.
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Of the following, which energy resource(s) can be extracted from marine sediments? Choose all Halite
that apply.
Petroleum
Manganese nodules
Phosphorites
Gas hydrates
Petroleum and gas hydrates are the principal energy sources linked to marine sediments.
Which four types of marine sediments are there?
Lithogenous, hydrogenous, biogenous, and cosmogenous are the four categories. Rivers, ice, wind, and other activities on land are how lithogenous sediments are transported. When planktonic creatures' exoskeletons degrade, they produce biogenous sediments. Chemical processes in the water produce hydrogenous sediments.
A fossil fuel is petroleum, sometimes referred to as crude oil. Petroleum was created from the remains of extinct marine animals like plants, algae, and bacteria, just like coal and natural gas. A crystalline solid made of water and gas is called a gas hydrate. It resembles ice in appearance and behavior but is actually very methane-rich and is known to exist on every continent.
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if astronauts land on the side of the moon facing the earth exactly at new moon, the side of the earth facing them would appear to be: group of answer choices half sunlit and half dark. in darkness. any fraction of the earth could appear sunlit depending on the direction from the earth to the sun. fully sunlit.
If astronauts land on the side of the moon facing the earth exactly at new moon, the side of the earth facing them would appear to be in darkness, without any visible sunlit areas.
If astronauts land on the side of the moon facing the earth exactly at new moon, the side of the earth facing them would appear to be in darkness.
At new moon, the moon is positioned directly between the sun and the earth, which means that the side of the earth facing the moon is not receiving any direct sunlight. The entire side of the earth visible to the astronauts would be in shadow, with no visible sunlit areas.
It's worth noting that while the side of the earth facing the moon would be in darkness, it would still be lit by indirect sunlight that has been scattered by the atmosphere. This scattered light would provide some illumination to the earth, but not enough to make any specific areas of the earth appear sunlit.
Additionally, even though the side of the earth facing the moon would be in darkness, other parts of the earth would still be fully sunlit, as the sun would be shining on the other half of the earth that is facing away from the moon.
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2. does this cross bedding indicate a steady flow of air or water, or does it indicate an oscillating (back and forth) flow?
Yes, it shows that there was a steady flow medium present in the depositional environment (typically water or wind).
Is cross-bedding a sign of growth?Examples include characteristics that can clearly identify the top or bottom of lava flows or sedimentary strata. Cross bedding, symmetric ripples, and graded bedding were some of the earliest sedimentary features to be used for way-up determination, with various sole marks only becoming relevant much later.
Which way do cross-beds slant?a sedimentary structure that develops in the lower flow regime, where sediment ridges align themselves with the flow direction, but inside the ridges, the sediment layers and dips in the direction of the flow.
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what do lightning and stars have in common? aboth have no electrical chargeincorrect answer bboth contain plasmaincorrect answer cboth have a fixed volumeincorrect answer dboth contain all three states of matter
Lightning and stars both contain plasma, which is a high-temperature ionized gas that contains free electrons and ions.
Plasma is a common state of matter in the universe and is found in stars, lightning, and other celestial bodies. Unlike solids and liquids, which have a fixed shape and volume, plasma has no fixed shape or volume and is highly influenced by electric and magnetic fields. In stars, the intense heat and pressure cause hydrogen and helium atoms to become ionized and form plasma, which sustains nuclear reactions that generate light and heat. In lightning, plasma is created by the ionization of air molecules due to the high-voltage discharge of electricity in a thunderstorm. Both lightning and stars have a significant impact on our lives and the universe around us.
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a speedboat has a constant acceleration of 3/0 m/s2. if the initial velocity of the boat is 8.0m/s, find the boats displacement after 10.0 seconds
The displacement of the speedboat after 10.0 seconds is 230.0 meters.
The displacement of an object with constant acceleration can be found using the formula:
d = vₒt + (1/2)at²
where d is the displacement, vₒ is the initial velocity, t is the time elapsed, and a is the acceleration.
Given the initial velocity of 8.0 m/s and acceleration of 3.0 m/s², and a time elapsed of 10.0 seconds, we can plug in the values into the formula to find the displacement:
d = 8.0 m/s × 10.0 s + (1/2) × 3.0 m/s² × (10.0 s)² = 80.0 m + 150.0 m = 230.0 m
So the displacement of the speedboat after 10.0 seconds is 230.0 meters. This means the boat has moved 230.0 meters from its original position due to the combined effect of its initial velocity and the acceleration.
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A sphere has a charge of -6. 40 x 10-7 coulomb. Approximately how many electrons must be removed to make the sphere neutral?
a. 2. 50 x 10-13 c. 4. 00 x 1012
b. 1. 60 x 1012 d. 7. 03 x 1024
The number of electrons must be removed the charge on the sphere is 0, is [tex]4 \times 10^{12}[/tex]. Option c is correct choice.
A coulomb (C) is the standard unit of electric charge in the International System of Units (SI). It is the amount of electricity that a 1-ampere (A) current carries in one second (s). A quantity of 1 C is equal to the electrical charge of approximately 6.24 x 1018 electrons or protons.
Total charge on a electron is, [tex]-1.9 \times 10^{-19}[/tex] Coulombs.
The charge on Sphere is, [tex]-6.40 \times 10^{-7}[/tex] Coulombs.
The number of electrons required to be removed from sphere is, [tex]\dfrac{-6.40 \times 10^{-7}}{-1.9 \times 10^{-19}}[/tex],
[tex]4 \times 10^{12}[/tex].
Option c is correct.
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A cylindrical container is filled with oil to a depth of 32cm. If the pressure exerted at the base is 2560pa , how much is the density of the oil?
The required density of the oil when pressure at the base and depth of the container are given is calculated to be 815.5 kg/m³.
We know the expression for pressure as, P = ρ g h
where,
ρ is density
g is acceleration due to gravity
h is height
Here, h is nothing but the depth of the cylindrical container.
h = 32 cm = 0.32 m
Pressure exerted is given as 2560 pa. P = 2560 pa
To find out density, make ρ as subject in the above equation.
ρ = P/(g h) = 2560/(9.8 × 0.32) = 815.5 kg/m³
Thus, the required density of the oil is calculated to be 815.5 kg/m³.
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how much kinetic energy will an electron gain (in joules and ev) if it accelerates through a potential difference of ?
If the electron accelerates through a potential difference of 18500 V , then the electron will gain 2.96 × 10⁻¹⁵ Joules and 1.85 × 10⁴ eV .
The amount of Kinetic Energy that an electron gain which accelerates through a potential difference of 18500 V is calculated by using the equation: ΔK = eV ;
where ΔK is = change in kinetic energy,
⇒ e is = electron charge (approximately 1.60×10⁻¹⁹ C), and V is = potential difference.
Substituting in values, we get ;
⇒ ΔK = (1.60×10⁻¹⁹ C) × 18500 V
⇒ 2.96 × 10⁻¹⁵ Joules
In electron volts (eV), the energy is calculated as :
⇒ ΔK (eV) = ΔK/(1.60 × 10⁻¹⁹ J/eV)
⇒ ΔK (eV) = (2.96 × 10⁻¹⁵ Joules)/(1.60 × 10⁻¹⁹ J/eV) ;
⇒ 1.85 × 10⁴ eV
The given question is incomplete , the complete question is
How much Kinetic energy will an electron gain (in Joules and eV) if it accelerates through a potential difference of 18500 V ?
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