So, the length of the cylindrical gold fiber is 1.36 x 10⁻⁴m.
define length ?
Length is a measure of the extent of an object or distance along its longest dimension. It is typically defined as the distance between two points or the size of an object in the direction of its length. Length can be measured in units such as meters, centimeters, inches, or feet, depending on the specific application or field of study.
(a) To find the area of the gold leaf, we can use the formula:
A = m/d * t
where m is the mass of the gold (27.63 g), d is the density of gold (19.32 g/cm^3), and t is the thickness of the leaf (1.000 m).
A = 27.63 g / (19.32 g/cm³) * (1.000 m)
A = 1.42 x 10⁻⁴ m²
So, the area of the gold leaf is 1.42 x 10⁻⁴ m².
(b) To find the length of the cylindrical gold fiber, we can use the formula:
L = m/d * (4/3) * π* r²
where m is the mass of the gold (27.63 g), d is the density of gold (19.32 g/cm^3), and r is the radius of the cylindrical fiber (2.500 fjl m).
L = 27.63 g / (19.32 g/cm³) * (4/3) * π * (2.500 fjl m)²
L = 1.36 x 10⁻⁴ m
So, the length of the cylindrical gold fiber is 1.36 x 10⁻⁴ m.
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A force f of strength 20 n acts on an object of mass 3 kg as it moves a distance of 4 m. If f is perpendicular to the 4 m displacement, the work it does is equal to.
A force f of strength 20 N applied on an object having mass of 3 kg as it moves a distance of 4 m. If f is perpendicular to the 4 m displacement, the work it does is equal to Zero .
What is displacement?A displacement is a vector whose length is the shortest gap between a moving point P's initial and final positions.
An object's displacement is equal to its velocity times its acceleration times its time squared plus one-half (t2).
Given:
Force f of strength 20 n
object of mass 3 kg
distance of 4 m
f is perpendicular to the 4 m displacement
Hence if the Force f applied is perpendicular to the displacement the work done by the force will become Zero.
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A ball is thrown straight up in the air. A) What is its velocity at the top of its path?
B) What is acceleration at the top of its path
The velocity at the top is zero and acceleration at the top of its path is acceleration due to gravity.
In brief:When an object moves straight up in the vertical direction, the force on it is gravity only, therefore the acceleration of the object will be equal to the gravitational acceleration and that acts in downward direction.
What is velocity?When speed is coupled with direction it is called vellocity.
What is acceleration?The rate of change of velocity is called acceleration.
What is force?The energy that is put on a body which makes the body move from rest or brings the body to rest from moving state is called force.
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phase change in which a gas is converted directly to a solid
The process of conversion of a gas directly to solid state is called deposition.
Deposition is when the gas is directly converted to solid without going through the liquid phase is called deposition. An example for this is the formation of frost, here water vapor is deposit as ice. Usually crystals are formed during deposition. Deposition is a thermodynamic process, an exothermic reaction.
The opposite process of deposition is sublimation, where the solid directly changes to gas. Deposition is used for industrial coating processes. This is evaporation deposition, a solid material is heated to gaseous state in a low-pressure chamber, this gas molecules travels and deposits and coats the target surface.
So the process of conversion of gas to solid is called deposition.
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The driver of a car traveling at 27.7 m/s applies the brakes and undergoes a constant
deceleration of 2.81 m/s^2. How many revolutions does each tire make
before the car comes to a stop, assuming that
the car does not skid and that the tires have
radii of 0.18 m?
Answer in units of rev.
The answer is 184 I think.
At what point is the kinetic energy minimum?
Hint The velocity of the projectile motion varies with position; kinetic energy is directly related to velocity, hence kinetic energy is lowest when velocity is lowest.
When a missile reaches its greatest height, its velocity is the slowest. In physics, an object's kinetic energy is the energy it has as a result of its motion. It is defined as the amount of work required to accelerate a body of a given mass from rest to a certain velocity. The body retains its kinetic energy after gaining it during acceleration until its speed changes. Kinetic energy is the energy that an item has as a result of its movement. If we wish to accelerate an item, we must apply force to it. Using force demands us to put in effort. After work is completed, energy is transferred to the item, and the thing moves at a new constant speed.
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What happens when contact angle is 90?
The magnitude of the torque will increase as the angle between the force and the line of action of the torque approaches 90 degrees.
Torque, a unit of rotational force exerted on an object, is calculated by multiplying the force by the distance from the axis of rotation to the point of application of the force. The sine of the angle formed between the force and the torque's line of action and the torque are also proportional.
The torque is zero when there is a 0 degree angle between the force and the torque's line of action because the force is acting in the same direction as the torque's line of action.
As the angle increases, the torque increases and reaches its maximum value when the angle is 90 degrees, at this point the sine of the angle is 1, so the torque is at its maximum value.
The given question is incomplete. The complete question is 'What happens to torque when the contact angle is 90°?'
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The frequency of four different waves is listed below. Which
wave has the most energy?
Explanation:
thqjqy677jh7a7uauq7745-36√89+23+25±866›
What is a result when the torques on each side of the fulcrum are equal?
Whenever the torques upon every sides of the fulcrum were equal, there was no motion.
The rotating equivalence of force is called torque. As a result, a net torque causes an item to rotate increasing angular acceleration. A torque should be described about a rotating axis since all rotational motions have one.
A torque would be a force given to a point on such an object that rotates about its axis. The magnitude of torque would be determined by (1) the magnitude of the applied force and its horizontal distance to the axis of revolution
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At what position the potential energy is zero and the kinetic energy is at maximum?
The potential energy is zero when the kinetic energy is maximal. This occurs when the velocity is at its maximum and the mass is in equilibrium. The forces acting on the body are solely.
determined by the beginning and ending locations of the body in space. These conservative forces may be represented at each place in space by vectors defined as gradients of a certain scalar function called potential energy.Although it has connections to Greek philosopher Aristotle's notion of potentiality, the word potential energy was coined by the 19th-century Scottish engineer and physicist William Rankine. Potential energy is connected with forces that operate on a body in such a way that the total work done by these forces on the body is determined only by the body's beginning and ending locations in space. These conservative forces may be represented at each place in space by vectors defined as gradients of a certain scalar function called potential.
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A soccer player kicks a ball, applying a force of 1,000 newtons over a distance of 0. 2 meter. The ball travels 50 meters down the field before another player stops the ball. How much work was done during the kick?(1 point)
10 joules
50,000 joules
5,000 joules
200 joules
When the ball goes 50 meters across the field before being stopped by some other player, the work done even during kick equals 200 joules.
We know the formula of work done
W= fd
= 1000N × 0.2m
= 200 Joules.
Work completed When a force on an object as well as the object travels inside the direction of the force, the force is said to be doing work. The product of something like the force as well as the displacement of something like the item in the direction of the force equals the work done either by force.
If an item is displaced by something like a constant force F over a distance s, then work done mostly by force W = F × s = F s cos, where represents the smaller angle between F as well as s.
Work would be a scalar quantity with the S1 unit joule and the CGS unit erg.
Hence, the correct option is D.
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1. What is the equation for impulse used in the image?(use the equation in the image)
2. What does the variable stand for?
3 how does the equation help to explain why an airbag helps reduce the chance and/or severity of injuries during an automobile crash?
1. The equation for impulse used in the image is: J = Ft
2. Where: J = impulse of force; F = force and t = time interval.
3. Airbag increases the time of impact, that's why, for same impulse, the amount force lessen.
What is impulse?In physics, the term "impulse" is used to characterize or measure the impact of force operating gradually to alter an object's motion. It is often stated in Newton-seconds or kilograms per second and is denoted by the symbol J.
Impulse of force is = force applied × time interval = change in momentum.
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After a certain pesticide compound is applied to crops, its decomposition is a first-order reaction with a half-life of 32. 5 days. What is the rate constant, k, for the decomposition reaction?.
The rate constant, k, for the decomposition reaction will be 0.0214/day. The half-life of a first-order reaction is the amount of time it takes for the concentration of a reactant to decrease by half.
A first-order reaction is a type of chemical reaction in which the rate of the reaction is directly proportional to the concentration of one of the reactants. The rate constant, k, is a measure of the speed of the reaction and is specific to the reaction conditions (temperature, pressure, etc.).
It is a useful concept because it is a constant for a given reaction, regardless of the starting concentration of the reactant.
The half-life, t1/2, of a first-order reaction is given by the equation: t1/2 = 0.693/k
So, in this case, since the half-life is 32.5 days, we can find k by rearranging the equation to:
k = 0.693/32.5 days = 0.0214/day
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How is energy stored and transferred at 5 different points during the launch and flight of the trebuchet?
The way that the energy stored and transferred at 5 different points during the launch and flight of the trebuchet are:
Energy storage during the loading phase: When the trebuchet is loaded, the counterweight and the projectile are both raised to a high point on the frame. This increases the gravitational potential energy of the counterweight and the projectile.Energy transfer during the tensioning phase: As the trebuchet is tensioned, the energy stored in the counterweight and the projectile is transferred to the tensioned ropes, cables or chains. This causes the ropes or chains to stretch and store elastic potential energy.Energy transfer during the launch phase: As the trebuchet is released, the energy stored in the tensioned ropes, cables or chains is transferred to the counterweight and the projectile. The counterweight falls, releasing its gravitational potential energy and propelling the projectile forward.Energy transfer during the flight of the projectile: As the projectile flies through the air, the energy stored in the projectile is transferred to the air through friction and air resistance. This causes the projectile to slow down and lose altitude.Energy transfer during the impact phase: As the projectile strikes its target, the energy stored in the projectile is transferred to the target, causing damage or destruction. Any remaining energy in the projectile is absorbed by the target or dissipated as heat or sound.What is the Energy about?Energy is a property of matter that allows it to do work. It is a scalar quantity, meaning it has only magnitude and no direction.
Energy can take many forms, including kinetic energy (the energy an object possesses due to its motion), potential energy (the energy an object possesses due to its position or state), and thermal energy (the energy an object possesses due to its temperature).
Therefore, Energy can also be classified as being either non-renewable or renewable. Non-renewable energy sources, such as fossil fuels, are finite and will eventually run out, whereas renewable energy sources, such as solar or wind power, are replenished naturally and can be used indefinitely.
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the mineral group that makes up the largest percentage of rock-forming minerals and comprises over 90% of the earth’s crust material is
A. Silicate minerals
B. oxides C. carbonates D. metals
The mineral group that makes up the largest percentage of rock-forming minerals and comprises over 90% of the earth's crust material is Silicate minerals.
Over 90% of the crust of the Earth is made up of the roughly 1,000 silicate minerals. The largest mineral group by far is the silicate family. The two silicate minerals that are most prevalent are feldspar and quartz. Both minerals are very widespread rock-forming minerals. This pyramid-shaped structure is frequently bonded to additional elements, such as calcium, iron, and magnesium, to produce the great range of silicate minerals. There are six different ways to assemble silica tetrahedrons to produce various silicates. Tetrahedrons can be used singly, in pairs, in single and double chains, in the shape of vast flat sheets of pyramids, or in three-dimensional connections. Atoms from one type of element exclusively are found in native elements. This group of minerals only contains a few minerals.
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What is the approximate measure of angle f? use the law of sines to find the answer. 11.5° 44.4° 68.0° 81.9°
The approximate measure of angle f is 44.4°
Why do we measure angles?Angle measures are helpful not just for academic purposes but also for understanding and using the objects around us. They may aid with spatial knowledge and the link between numbers and measurements.
Goniometer: an instrument for measuring angles, especially useful in crystallography.
A radian is the name for the angle,, that results from this circumstance. A radian is the unit of measurement for an angle that, when represented by a central angle, subtends an arc whose length is equal to the circle's radius.
You only need to utilise sine.
The opposite/hypotenuse of Sin(F) is 28/40.
F = sin ^ -1(28/40)
Connect the calculator.
44.4
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Answer: B
Explanation: 44.4°
what is the speed in meters per second of a car that traveled 200 km in 5.5hours
The speed of the car is 10.10 meters per second.
What is speed?The rate at which an object's position changes in any direction is referred to as speed.
The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
The speed of the car = total distance travelled/ time interval
= 200 km/5.5 hour
= 200 × 1000 meter/ 5.5 × 3600 second
= 10.10 meter/second
Hence, the speed of the car is 10.10 meters per second.
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A 600 kg cart is connected to a 200 kg wagon which are travelling together. The total momentum of the cart-wagon system is 1600 kg*m/s. The wagon and cart then separate so the cart has a final velocity of 3 m/s. What is the final total momentum of the cart wagon system?
The final total momentum of the cart and the wagon system is 1600 kg*m/s.
What is the momentum?We know that the momentum of the system has to do with the product of the mass and the velocity of a body. In this case, we know that the momentum of the cart and the wagon system can be obtained by the use of the principle of the conservation of linear momentum.
From the principle of the conservation of linear momentum, we can see that the momentum before collison = Momentum after collision as such the momenmtum of the object does not change.
Hence, the principle of conservation of momentum shows us that the momentum does not change.
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A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum height of 20 mm halfway across a horizontal distance of 160 mm.
The spider's motion serves as an example of a parabola,
The equation of the parabola is y = a(x-h)² + k
The focus of the parabola is Focus = (80, -60)
The directrix is y = 100
The axis of symmetry is x = 80
A parabola is difficult to explain.A set of points in a plane with the same separation from a given point and a given line in that plane is known as a parabola. The given point and the line are referred to as the focus and directrix, respectively. The parabola's vertex is the center of the perpendicular segment running from the focus to the directrix.
(a). The equation the spider passes through the origin is
we have,
(x, y) = (0, 0)
The spider can jump up to 20 mm, or 160 mm, in the middle.
Thus, the vertex is,
(h, k) = (80, 20)
A parabola's equation is,
y = a(x-h)² + k
Thus, we have,
0 = a(0-80)² + 20
0 = 6400a + 20
Take 20 off both sides
6400a = -20
a = -1/320
Substitute a = -1/320 and (h, k) = (80, 20) in
y = a(x-h)² + k
y = -1/320 (x - 80)² + 20
(b) The axis of symmetry, directrix, and focus
A parabola's point of focus is,
Focus = (h, k+p)
p = 1/4a
Thus, we have
p = 1/4×-1/320
p = -320/4
p = -80
Focus = (h, k+p)
Focus = (80, 20-80)
Focus = (80, -60)
The symmetry axis is,
x = h
Thus, we have,
x = 80
As for the directrix
y = k-p
y = 20+80
y = 100.
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what makes the earth different from the other worlds in the solar system that might have life (and something that makes life on earth fairly easy to detect from far away) is that only earth:
The earth different from the other worlds in the solar system that might have life (and something that makes life on earth fairly easy to detect from far away) is that only earth:
1. Has an atmosphere consisting of a mixture of oxygen and nitrogen that is
breathable for most life forms
2. Has liquid water in abundance on its surface.
3. Has a magnetic field that shields life from harmful radiation.
4. Has the right temperature range for life to exist.
5. Has a rich and diverse biosphere.
6. Has the ability to reflect light from its oceans, making it easy to detect from afar.
The solar system is the collection of the Sun, its planetary system of eight planets and various other objects in orbit around it. These include dwarf planets, moons, asteroids, comets, dust, and gas. The four inner planets, Mercury, Venus, Earth, and Mars, are composed mostly of rock and metal and are relatively close to the Sun. The four outer planets, Jupiter, Saturn, Uranus, and Neptune, are composed mainly of gas and ice, and are much farther from the Sun. The solar system also contains many smaller objects, such as asteroids, comets, and meteoroids.
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Which one of the following is an example of non-renewable resources?
(a)Water
(b)Wind
(c)Vegetation
(d)Coal and minerals
Answer:
coal and minerals are good examples
Answer:
Explanation: Coal and minerals
Non-renewable resources are naturally occurring resources consumed faster than replenished. Examples are coal, oil, and natural gas
how to calculate distance between two latitude and longitude
You will need Latitude and Longitude to calculate the distance between two points using the formula: =acos(sin(lat1)*sin(lat2)+cos(lat1)*cos(lat2)*cos(lon2-lon1)) *6371 (6371 is Earth radius in kilometers) (6371 is Earth radius in km.)
What is longitude and latitude? Divide the longitude and latitude values of both sites by 180/pi. Pi is equal to 22/7. The value of 180/pi is about 57.29577951. If we wish to measure the distance between two points in miles, we can use the radius of the Earth (3, 963).Longitude is a measure of distance east or west of the prime meridian in Greenwich, London, England, which is a specially defined imaginary north-south line that goes through both geographic poles and Greenwich.Latitude is a coordinate in geography that describes the north-south position of a point on the Earth's surface.For more information on longitude and latitude kindly visit to
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An electric heater draws 12 a from a 120 v power source. How much power does the heater dissipate?.
An electric heater draws 12 a from a 120 v power source, the amount of power that is dissipated by the heater is 1440 W.
What is Power?Energy that is significantly transferred or converted over time can be referred to as power. Watt is used to measure power (W). With the aid of the following formula, it is typically calculable:
P = W/Δt.
The answer to this question depends on the context, but the formula below can be used to determine how much power is lost inside the heater:
P = V × I = 12 × 120 = 1440 W.
As a result, 1440 W of power is lost by the heater in accordance with the scenario.
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The figure shows a system consisting of three blocks, a light frictionless pulley, and light connecting ropes that act horizontally on the upper two blocks. The 9.0-kg block is on a perfectly smooth horizontal table. The surfaces of the 12-kg block are rough, with µk = 0.30 between the 12-kg and 9.0-kg blocks. The mass M of the hanging block is set so that it descends at a constant velocity of 3.25 m/s.
(a) What is the mass M of the hanging block?
(b) The mass M is now changed to 5.0 kg, causing it to accelerate downward after it is released. What is the acceleration of the hanging mass?
a) The mass M of the hanging block is 2.7 kg.
b) When the mass M is changed to 5.0 kg, the acceleration of the hanging mass is 5.39 m/s².
What is friction?
The resistance that surfaces in touch provide to motion when they pass one another is referred to as friction.
(a) The mass M of the hanging block is = (0.30 × 9.0 kg × 9.8 m/s²) ÷ ( 9.8 m/s²)
= 2.7 kg.
(b) When the mass M is changed to 5.0 kg, the acceleration of the hanging mass is = {5.0×9.8 + 0.30 × 9.0 kg × 9.8 m/s²) ÷ ( 9.0 kg + 5.0 kg)
= 5.39 m/s².
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two cars, one in front of the other, are traveling down the highway at 25 m/s. the car behind sounds its horn, which has a frequency of 500 hz. what is the frequency heard by the driver of the lead car? (vsound
The frequency heard by the driver of the lead car is 579 Hz.
This problem can be solved using the Doppler effect
sound frequency heard by the lead car = [(speed of sound + lead car velocity)/( speed of sound + behind car velocity)] * (sound of frequency of the behind car)
sound frequency heard by the lead car = [(340 m/s + 25 m/s)/(340 m/s - 25 m/s)] * (500 Hz)
sound frequency heard by the lead car = 579 Hz
What is the Doppler effect?
Doppler effect in physics is defined as the increase (or decrease) in the frequency of sound, light, or other waves as the source and observer move towards (or away from) each other.
What are Doppler effect and its uses?
The Doppler effect is used to measure speed in RADAR sensors. When the fixed-frequency radio wave sent from the sender continuously strikes an object that is moving towards or away from the sender, the frequency of the reflected radio wave will be changed.
Thus, the frequency heard by the driver of the lead car is 579 Hz.
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if 3 C of charge are moved through a +12 V potential difference, what is the change in electric potential energy?
The change in the electric potential energy of the charge is 36 J.
What is the change in electric potential energy?The change in the electric potential energy of the charge is work done in moving a unit charge from a point against the electrical resistance of the field.
Mathematically, the formula is given as;
E = q x ΔV
where;
q is the magnitude of the chargeΔV is the potential differenceThe change in the electric potential energy of the charge is calculated by subitizing the given values in the above equation.
E = ( 3 C ) x ( 12 V )
E = 36 J
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which of the following is a true statement? select one: a. lightning cannot strike the same place twice during a thunderstorm b. thunder from distant storms is often not heard because of sound dissipation and the curvature of the earth. c. the most common type of lightning is the cloud-to-ground strike d. it is only possible to be struck by lightning when it is raining
The statement that is a true statement is the statement B. Thunder from distant storms is often not heard because of sound dissipation and the curvature of the earth.
About ThunderstormThunderstorms are ended up causing by lightning. On sometimes, lightning might be seen but still no thunder might well be heard. It is as a result of the distance away (more than 20 km away) the thunder is. Sound dissipation and the curvature of the earth are the reasons this condition occurs. (option B is correct)
Misconceptions About ThunderstormsA. Lightning cannot strike the same place twice during a thunderstorm
According to some research, lightning can strike the same place three times. So, it is possible for a bolt of lightning to strike the same place twice during a thunderstorm.
C. The most common type of lightning is the cloud-to-ground strike
This statement is incorrect. The most common type of lightning is Intra-Cloud, cloud-to-cloud strike
D. It is only possible to be struck by lightning when it is raining
Lightning that happens when there isn't any surrounding rain is called dry lightning. It is also known as "a bolt from the blue," or lightning that comes from a clear blue sky. So, it is possible for lightning to strike without rain.
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An
egg with a mass of 0. 052 kg is thrown against a wall with a velocity of 30 m/s. The egg is smashed against the wall, stopping it. What is the
impulse the wall provided?
A 4600 kg bus traveling at 26.6 m/s can brake and comes to a stop in 47m. What is the force applied by the brakes?
When we apply the brake then there is a frictional force between the brake and the rim of the cycle. This force opposes the forward motion of the body and hence bicycle stops.
What force do brakes apply?A mechanical brake applies a friction force to convert the kinetic energy of the vehicle into thermal energy which then dissipates into the atmosphere.Friction is a force that occurs when an object moves through a medium (e.g. air or water), or when surfaces (e.g. the brake pads and the wheel discs) slide over each other. The friction force always opposes motion. STOPPING DISTANCE is the shortest distance a vehicle can safely stop in.It is static friction between tires and road that is responsible for the forward force when you press on the accelerator. It is static friction between tires and road that is responsible for the rearward force when you apply the brakes.
26.6 m/s (meters per second)
1428 mi/d (miles per day)
59.5 mph (miles per hour)
0.9917 mi/min (miles per minute)
87.27 ft/s (feet per second)
314200 ft/h (feet per hour)
≈ 0.94 × typical takeoff speed of a light aircraft like a Cessna 150 ( ≈ 63 mph )
≈ (0.6 to 1.4) × instantaneous speed of air particles during an average human sneeze ( 40 to 100 mph )
≈ 1.1 × speed at (or below) which Sammy Hagar cannot drive ( 55 mph )
Time to travel 1 kilometer from t = d/v:
| 38 seconds
| 0.63 minutes
Observed wind intensity from v = 0.836B^(3/2) m/s:
| 10 Beaufort scale numbers
Effective rocket exhaust speed from v_e = I_sp:
| 27 m/s (meters per second)
Thrust specific fuel consumption from SFC = 1/I_sp:
| 37590 g/(kN s) (grams per kilonewton second)
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What would the GFCI do in case of a electrical current leakage?
A Ground Fault Circuit Interrupter (GFCI) is designed to detect an imbalance in the electrical current and immediately cut off power to the circuit in order to prevent electric shock.
When it detects a leakage in the current, the GFCI will trip and shut off the power, preventing any further damage or injury.
A Ground Fault Circuit Interrupter (GFCI) is a device designed to detect an imbalance in the electrical current and immediately cut off power to the circuit in order to prevent electric shock. When a GFCI detects a leakage in the current, it will trip and shut off the power, preventing any further damage or injury. GFCIs are an important safety feature for any electrical system, as they can reduce the risk of electric shock and other hazards. Additionally, GFCIs can help protect a home from electrical fires, as they will quickly shut off the power if a hazardous situation is detected.
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Estimate how long a 3000 W electric kettle would take to
boil away 100g of water. The specific latent heat of
vapourisation of water is 2. 25 MJkg.
Total time taken is 72 seconds.
Latent heat of vaporization is the amount of heat added to or removed from a substance to produce a change in phase, namely to vaporize a substance.
We know that : P = Q/t
where,
P = Power = 3000 W
Q = Specific latent heat of vapourisation of water
t = time taken
Here, Q = 2260 J/g
But for 100 g of water, Q = 2260 * 100 J/g and given P = 3000 W
Putting these values in above equation we get: t = 72 seconds
So, it will take 72 seconds to boil away water.
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