The three laws of motion, as described by Sir Isaac Newton, are as follows:
Every object in a state of uniform motion will remain in that state of motion unless an external force acts on it. This is known as the law of inertia.
The force acting on an object is equal to the mass of that object multiplied by its acceleration. This is known as Newton's second law of motion, and is often represented by the equation F = ma.
For every action, there is an equal and opposite reaction. This is known as Newton's third law of motion.
Newton's laws of motion are fundamental principles that describe the physical behavior of objects in motion. The first law, the law of inertia, states that an object at rest will remain at rest, and an object in motion will continue in motion with a constant velocity, unless acted upon by a net external force. The second law of motion, states that the acceleration of an object is directly proportional to the net force acting on the object, and inversely proportional to its mass. The third law states that for every action there is an equal and opposite reaction.
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Example: A ball rolls off a table 1.5 m high and lands 0.80 m away from the table.
(a) How long will the ball be in the air?
(b) What is the ball's initial horizontal velocity?
(c) What will be the ball's horizontal and vertical velocities when it hits the ground?
Answer:
Below
Explanation:
To fall 1.8 m the time will be found with :
d = 1/2 a t^2
1.5 = 1/2 ( 9.81) t^2 shows t = .55 s
in this .55 s it travels .8 m horizontally
Horizontal velocity = .8 m / .55 s = 1.45 m/s
When it hits the ground , horizontal velocity will still be 1.45 m/s
vertical velocity will be v = at = 9.81 m/s^2 * .55 = 5.42 m/s
If A and B are two Hermitian operators, showthat AB and BA may
not be Hermitian, but that (AB + BA) andi(AB-BA) are both
hermitian. Prove that the expectation value ofA2 is
always real and non-negative. If A2=2,find the
eigenvalues of A
A and B being Hermitian operators means that they are equal to their own conjugate transpose.
What is a Hermitian operator?
A Hermitian operator is an operator that is equal to its own complex conjugate. This means that if an operator A is Hermitian, then A=A*. This property is important in quantum mechanics, since it guarantees that the eigenvalues of the operator are real.
AB ≠ BA
(AB + BA) = (A + B)*(A + B) = A*A + A*B + B*A + B*B
(AB + BA) is Hermitian since the conjugate transpose of a sum is the sum of the conjugate transposes.
i(AB-BA) = i(A - B)*(A - B) = -iA*A + iA*B -iB*A + iB*B
i(AB-BA) is Hermitian since the conjugate transpose of a sum is the sum of the conjugate transposes.
The expectation value of A2 is always real and non-negative since A2 is Hermitian and thus equal to its own conjugate transpose, which implies its eigenvalues are real.
If A2 = 2, then A can have eigenvalues of ±√2.
Hence, eigenvalues of A is ±√2.
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When there is no motion between objects, what is the relationship between the magnitude of the static friction, f, and the normal force, N?
The static friction and the normal force are related to each other as ≤.
Static friction is a force that prevents an item from moving. The friction encountered when persons attempt to move a stationary object on a surface without actually causing any relative motion between the body and the surface on which it is located. Static friction occurs between two fixed things, whereas kinetic friction occurs when two items move. Static friction varies while kinetic friction remains constant.
The normal force is the force exerted by surfaces to prevent solid objects from passing through them. A contact force is normal force. According to Newton's third law, this force on the platform must be followed by an equal and opposite force delivered to the man by the platform. This force is identical to the normal force.
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A body of mass 3kg is dropped from a tower of height 250m. then its kinetic energy after 3 seconds will be
Answer:The kinetic energy of an object is equal to its mass times the square of its velocity, divided by 2.
Explanation:
Since the body is dropped from a height, it initially has no velocity. As it falls, it will accelerate due to the force of gravity. The acceleration due to gravity is approximately 9.8 m/s^2.
After 3 seconds, the velocity of the body will be 3*9.8 = 29.4 m/s. The kinetic energy of the body will be:
KE = (3 kg) * (29.4 m/s)^2 / 2 = 849.56 J
This is the kinetic energy of the body after 3 seconds of falling.
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An electric heater draws a constant current of 6 amp, with an applied voltage of 220 V, for 24 h. Determine the instantaneous electric power provided to the heater, in kW
The instantaneous electric power provided to the heater will be 1.32 kW.
Electric power can be defined as the rate by which an electric circuit transfers the electrical energy. An electric heater is drawing a constant current which is equal to 6 ampere with an applied voltage of 220 volts for a duration of 24 hours.
To calculate the instantaneous power supplied to the electric heater,
Power = Voltage × Current
P = V × I
P = 220 × 6
P = 1320 W
To convert it into kW, we divide the value by 10³
= 1320/10³ = 1.32 kW
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Use the parallax formula to calculate the distance to each of the following stars. Give your answers in both parsecs and light-years.
Part A
Alpha Centauri: parallax angle 0.7420''.
Express your answer using four significant figures.
Part C
Procyon: parallax angle of 0.2860''. UNITS: pc
Express your answer using four significant figures.
Part D
convert part C to light years
Express your answer using four significant figures.
The parallax formula is used to calculate the distance to a star based on the parallax angle, which is the angle between a star's position in the sky when observed from two points in the Earth's orbit six months apart.
What is distance ?
Distance is the measure of how far apart two objects or points are. It is typically measured in units such as meters, kilometers, miles, or light years. Distance can also be measured in terms of time, such as the time it takes to travel from one point to another.
Distance can either be measured directly, by measuring the physical gap between two points, or indirectly, by using a map, compass, or other navigation tool.
Part A
Distance = 1/0.7420 = 1.3481 parsecs
Distance = 1.3481 * 3.26156 = 4.39 light-years
Part C
Distance = 1/0.2860 = 3.4984 parsecs
Part D
Distance = 3.4984 * 3.26156 = 11.39 light-years
The parallax formula is used to calculate the distance to a star based on the parallax angle, which is the angle between a star's position in the sky when observed from two points in the Earth's orbit six months apart. The formula is simply distance = 1/parallax angle. For both parts A and C, the answer is first given in parsecs and then converted to light-years using the conversion factor of 3.26156 light-years per parsec.
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What happens to the particles of a matter when heat is released and temperature becomes lower?
In the particles of a substance when heat is released and the temperature becomes lower are the particles will move more slowly.
A particle can vibrate due to heating so that the particle can be said to have kinetic energy. Kinetic energy itself is affected by the mass and speed of objects. The smaller the mass of an object, the greater its kinetic energy. The faster the particles vibrate, the greater their kinetic energy.
When a particle is heated, its temperature will rise and the particle will move fast because it gains kinetic energy. Meanwhile, when a particle loses heat, the temperature of the particle will decrease, this causes a decrease in the kinetic energy of the particle due to heat loss so that the particle moves slower.
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Mechanical energy starts the Ferris wheel, charging the lights along the seats, showing Choose energy. The full Ferris wheel begins to move going from Choose to Choose energy.
Mechanical energy is used to start the Ferris wheel, providing the initial rotation and motion to the wheel.
The motion of the wheel then causes the lights along the seats to be powered, allowing them to light up as the wheel turns. The wheel is then able to generate kinetic energy as it moves, which it then uses to continue turning.
As the wheel turns, it transfers its energy from mechanical to kinetic, and this energy is used to keep the wheel moving from start to finish. Kinetic energy is also used to power the centrifugal force which keeps the riders in their seats as the wheel turns, allowing them to enjoy the ride.
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You are on an airplane traveling with a constant velocity at an altitude of 20,000 m. What is the acceleration of gravity at that altitude
Correct option is C) the acceleration of gravity at that altitude is 9.75m/s².
What is the gravity's acceleration?
The unit g stands for gravitational acceleration. At sea level, the standard value of g on earth's surface is 9.8 m/s2.
The following formula is used to determine the acceleration of gravity:
g= GM/r2
What G The general gravitational constant is what it is.
G is equal to 6.674x10⁻¹¹ Nm2/kg2, and M is the earth's mass:
M = 5.972x10²⁴kg
The radius of the earth plus the airplane's altitude, or r, is the distance from the earth's center in this case:
r = 6.37x10⁶ m + 20000 m equals 6.39x10⁶ m
Consequently, the acceleration in g is equal to:
(6.674x10⁻¹¹ Nm²/kg²)(5.972x10²⁴ kg) / (6.39x100m)₂
g = 9.75m/s²
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Complete Question -
You are on an airplane traveling with a constant velocity at an altitude of 20,000m. What is the acceleration of gravity at that altitude? The earth's radius is 6.37 x 10^6m.. . A) 9.81 m/s^2. B) 9.78 m/s^2. C) 9.75 m/s^2. D) 9.72 m/s^2. E) 9.69 m/s^2.
Diana raises a 1000 N piano using a set of pulleys. She use 250 N force to pulls in 20.0 m of rope. What is the distance
Using a set of pulleys, Diana hoists a piano weighing 1000 N. To draw in 20.0 m of rope, she applies 250 N of force. The separation is 5m.
given,
Load force = 1000 N
Effort distance = 20.0 m
Effort force=250N
If this were an ideal machine, we could calculate the force Diana applied as follows:
The equation that follows links load force to effort force for a perfect machine;
Effort force × effort distance = Load force × Load distance
When we enter the parameters into the formula, we get;
Load distance = Effort force × effort distance/Load force
=250×20/1000
= 5 m
Load distance = 5 m
In mechanics, force is any action that tends to maintain or alter the motion of a body or distort it. The concept of force is commonly explained in terms of Isaac Newton's three laws of motion, as stated in his Principia Mathematica (1687). Newton's first principle states that a body at rest or moving at a uniform rate in a straight line will remain in that state until some force is applied to it. The second law states that when an external force acts on a body, it causes an acceleration (change in velocity) of the body in the direction of the force.
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i need help plssssss
The three key words that have been replaced in the cross - section of a solar panel are:
R - Insulator S - Copper T - BlackThis means that Option A is correct.
What are some parts in a solar panel ?A solar panel, also known as a photovoltaic (PV) panel, is a device that converts sunlight into electricity. It is made up of several different parts that work together to generate electricity. Solar cells are made of silicon and are responsible for converting sunlight into electricity. They are usually arranged in a grid pattern on the panel.
The backsheet is the layer of material that sits on the back of the solar cells. It is responsible for protecting the back of the solar cells from moisture and other environmental factors. It is an insulator and is shown as R.
There are also the copper wires which heat the water and they are painted black as black absorbs heat better. These are labeled S and T respectively.
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What is the lever arm formula?
The distance that separates the force's line of action from its rotational axis is known as the lever arm. and the torque's magnitude is = N m.
τ = F x r
Signs:- Torque = τ
Force = F
Lever Arm Length = r
In many electromechanical driving systems, lever arms are used. Axles and spindles are nonrotating shafts, while transmission shafts are rotating components that move power and torque from one place to another. Shafts can be either hollow or solid. In gate drive applications, particularly for radial gates and vertical gates, hollow shafts are sometimes referred to as torque tubes.
This is so that they can transfer torque to a hoist winch, which is their main function in these gate drives. For gate drives, the shafting may be subjected to axial forces, torsion from transmitted torque, bending from transverse loads from gears, sprockets, and sheaves, and torsion owing to transmitted torque.
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Classify these (x,y) coordinate pairs as a source point or a field point. Drag the appropriate items to their respective bins. the numbers in the picture are: (6,0) (0,8) (0,0) (0,-8)
The classification of the points in the picture of electric charges on a coordinate plane are;
Source points; (0, 8)c field is thr, (0, 0), (0, -8)Field poinrt; (6, 0)What is an electric field?An elecric field is the region or field which surrounds an electric charge, The value of an electric field is the force per unit charge within the field.
The specified points on the picture of the charges on the coordinate plane are;
(6, 0), (0, 8), (0, 0), (0, -8)
The location of the charges in the picture are;
Coordinates of the location of the charge, q₁ = (0, 8)
The coordinates of the location of the charge, q₂ = (0, 0)
Coordinates of the location of the charge, q₃ = (0, -8)
Coordinates of the location of the point, P = (6, 0)
A source point is the location of a source of electric charge, such as the charges, q₁, q₂ and q₃
The source points are locarted along tnhe y-axis, therefore, the source point are;
(0, 8), (0, 0), and (0, -8)
A field in physics is a region associated with a physical quantity, such as an electric or magnetic field, where the effect of the electric or magnetic field is experienced or felt
The field point is a point located away from the source point, The field point is a point where the effect of the field from the source is felt.
The field point is the point P(6, 0), that is located away from the charges, q₁, q₂, and q₃
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The measurement of how far the particles are pushed from their _______________ is called amplification.
Amplification is the term used to describe how far the particles are pushed from their initial position.
Is it a measurement of how closely or widely spaced away the particles are in a given area?How closely molecules are packed together is determined by density. Because air is a gas, its molecules may either pack closely or spread widely. Higher up, less air is pressing down from above, and gravity is less away from the center of the Earth.
Sound is it longitudinal?Longitudinal waves are what makeup sound. Compressions and rarefactions are also present in longitudinal waves when they pass through any given material. When particles travel in close proximity to one another, compression occurs, generating areas of intense pressure.
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A imple pendulum ha a period of 3 econd. If the value of ‘g’ i taken a 9. 98 m-2 calculate the length of the pendulum
Answer:
T (Period) = 2 π (L / g)^1/2 for a simple pendulum
L = g * T^2 / (4 π^2)
L = 9.98 m/s^2 * 9 s^2 / 39.5 = 2.27 m
Is there ever a case where one of the two charges in Coulomb's Law experiences a different force magnitude than the other charge? Why or why not?
Answer:
Yes, there is a case where one of the two charges in Coulomb's Law experiences a different force magnitude than the other charge. Coulomb's Law states that the electric force between two charged particles is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them. If the magnitudes of the charges or the distance between them changes, the force experienced by one of the charges will also change. For example, if one of the charges is doubled in magnitude while the other charge and the distance between them remain the same, the force experienced by the charge with the increased magnitude will also double.
In which of the following sport the turning effect of force used
a) swimming b) tennis c) cycling d) hockey
The turning effect of force used in cycling. Hence, option (c) is correct.
What is turning effect of force?The moment is the term for turning effect of a force. It is the result of multiplying the force by the perpendicular distance from the force's line of action to the pivot point or location where the object will turn.
If a body that is being affected by a net external force is allowed to revolve around a pivot, the body will typically turn in the force's direction.
When a cycle paddled, force is applied for revolving it. That is why, the turning effect of force used in cycling.
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What are the 5 types of electrical incidents?
Electrical burns can occur in a variety of ways, including arc burns, low voltage burns, high voltage burns, mouth burns, flash burns, and flame burns.
What are electrical incidents?Electric shock, a serious electrical mishap, or a fatal electrical event are all considered electrical incidents.
For the purposes of reporting and analysis, incident definition types let you attribute the appropriate type to safety events. Having only the two types of incidents—Accident and Near Miss—is one strategy.
An occurrence or scenario that has a number of serious repercussions and necessitates the implementation of special measures by one or more emergency responder agencies is referred to as a big incident.
Any electrical incident that results in or has the potential to result in: death or serious bodily harm to a person; significant property damage; or a serious risk to the public safety must be reported, according to the Electrical Safety (General) Regulations of 2019.
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A focus mirror sculpture was opened in Rockefeller Centre in New York City in 2006. Standing three storeys tall and weighing 23 tonnes, its concave side faced the Rockefeller Centre and its convex side faced 5th Avenue.
A. What is the nature of the image of 5th Avenue?
B. Which property of concave mirror is utilised for using them as shaving mirrors?
C. A taxi on 5th Ave is located 38 metres from the convex side of this culture and its image is 1/5 the size of the taxi. Determine the focal length of the mirror.
D. Estimate the image size of the 270 metre tall Rockefeller Centre if it is located an estimated distance of 100 metres from the concave mirrors surface of focal length 10 metre.
A. The nature of the image of 5th Avenue in the mirror sculpture is that it is a virtual, upright, and smaller image. This is because the concave mirror is used to reflect light outwards, creating a virtual image that cannot be projected onto a screen.
B. The property of concave mirrors that is utilized for using them as shaving mirrors is their ability to form a smaller, magnified image. This is because concave mirrors have a negative focal length, which causes light rays to diverge and form a smaller image that is closer to the mirror.
C. To determine the focal length of the mirror, we can use the formula 1/f = 1/u + 1/v, where f is the focal length, u is the object distance (38 meters), and v is the image distance (unknown). We know that the image size is 1/5 the size of the object, so we can set v = -5u (since the image is virtual and inverted). Substituting these values into the formula and solving for f, we get f = -(5u^2)/4 = -(5(38^2))/4 = -4725/4 = -1181.25 meters.
D. To estimate the image size of the 270 meter tall Rockefeller Centre, we can use the formula: h' = -h * (u/f) where h' is the image height, h is the object height (270 meters), u is the object distance (100 meters) and f is the focal length (10 meters). Substituting these values in the formula, h' = -270 * (100/10) = -2700 meters. This means the image of the Rockefeller Centre would be 2700 meters tall, which is not possible because it's taller than the building itself. This is an indication that the image is not real and is a virtual image.
What is the difference between flat mirrors and curved mirrors?Unlike plane mirrors, spherical mirrors form images that are different in size from the size of the object. While the convex mirror forms images that are always smaller than the object, the concave mirror forms images of different sizes, depending on the position in which the object is placed on its axis.
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if energy of 10 watts is transferred into a chamber of helium, how long does it take to vaporize 1 kg of liquid helium
energy takes 25 atmospheres of pressure to evaporate 1 kilogrammes liquid helium, and that pressure must be applied at or below the freezing point of helium, which is 458 °F.
How is helium in liquid form transported?From manufacturing sources to stockpiling and transfill facilities, liquid helium is normally delivered. Tankers with a capacity of 5,000 and 11,000 gallons have an annular space that is vacuum-sealed, nitrogen-shielded, and has multiple layers of insulation.
How is liquid helium produced?You need to chill helium gas to just a few temperatures above absolute zero in order to produce the liquid & superfluid states. By compressing the air and then releasing it through a tiny nozzle, this is accomplished. If you've used any aerosol, you may have noticed that the gas rapidly cools as it expands.
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The Law of Conservation of Energy states: Energy cannot be created or destroyed; it can be transformed fr
one form to another but the total amount of energy never changes. Car crashes can involve huge amounts
of energy. How does the crashworthiness of the car affect the transfer and transformations of energy and
ultimately, protect the occupants?
The kinetic energy does the work that crushes the car’s crumple zones.
Conversion of collision energy Because the metal plastic deformation after the impact greatly increases the internal energy of the automobile, the majority of the kinetic energy in the collision process is turned into internal energy. Other types of kinetic energy are turned into heat energy, sound energy, and so on.
A serious vehicle accident can result in PTSD, acute anxiety, sadness, and crippling phobias. According to studies, crash-related mental traumas might have symptoms that continue up to a year following a car accident, especially in youngsters. Objects with potential energy, or stored energy, collide, and the energy transfers to kinetic energy, or the energy of an object in motion. This energy transfer from one to anotheanother
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From the viewpoint of an alien astronomer, how does Jupiter affect observations of our Sun?
a) It causes the Sun to move in a small ellipse with an orbital period of about 12 years.
b) It makes the Sun periodically get somewhat brighter.
c) It makes the Sun appear dimmer when viewed with infrared light.
d) It causes the Sun to move in a small ellipse in the sky, with the same ellipse repeated every night.
Jupiter affect observations of the Sun, from the viewpoint of an alien astronomer, by causing the Sun to move in a small ellipse with an orbital period of about twelve years. The correct option is option a.
Being the fifth closer planet to our Sun, Jupiter is the biggest planet in our Solar System. Jupiter is one of the gas giants in the Solar System.
From the Sun, Jupiter's average distance is about 480 million miles, and it takes nearly twelve years for Jupiter to make one revolution. Jupiter has a ring, albeit flat and small, like the rest of the gas giants. Jupiter's rotation is the fastest of all planets in the Solar System, rotating once on its axis every ten hours.
From the viewpoint of an alien astronomer outside our Solar System, the Sun will look as if it orbits Jupiter and takes 12 years to complete a revolution. Planets in general have orbits that are elliptical.
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A 12 kg barrel is pulled up by a rope. The barrel accelerates at . Find the force exerted by the rope. Show all your work.
The solution is 14.4 N
Steps:
The given values are:
mass
m=12kg
Acceleration
a=1.2m/s²
As we know te formula
⇒force=mass×acceleration
By substituting the values we get,
⇒1.2×1.2
⇒14.4N
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prepare a list of various sources of energy that are used at your home .classify them into renewable and non renewable source of energy
The two energy sources that are used in homes the most are electricity and natural gas. Natural gas is a non-renewable energy source, whereas electricity that is generated from unconventional sources is.
What are some examples of renewable and non-renewable energy sources?Sunlight, water, wind, and geothermal sources like hot springs and fumaroles are examples of renewable resources. Petroleum and coal are examples of fossil fuels that are non-renewable resources. The majority of renewable resources have small carbon footprints and low carbon emissions.
What are the top 5 energy-saving features for homes?A well-built and securely sealed thermal envelope, controlled ventilation, appropriately sized, high-efficiency heating and cooling systems, and energy-efficient doors, windows, and appliances are the essential components of the majority of energy-efficient homes, despite construction costs, options, and styles being different.
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Four particles with masses 4 kg, 4 kg, 4 kg, and 7 kg are connected by rigid rods of negligible mass as shown. Assume the system rotates in the xy plane about the z axis (origin, O) with an angular speed of 9 rad/s. Find the rotational energy of the system about the x axis.
The rotational Kinetic energy of the system about X axis is 24624 J.
Let the distance of the mass 4kg, from O is r1,
r = √(4² + 4²)
r = √32m
The distances of masses to the rotation axis is same -
say,
r1 = r2 = r3 =r4 = √32
Hence,
I = ∑ mi r1²
I = r² ∑(m1 + m + m3 + m4)
= 32(19)
I = 608 Kg m²
We know that rotational energy of system is given as,
K = 1/2 Iw²
Given,
W = 9 rad/sec
∴ K = 1/2 × 608 × 9²
K = 24624 J
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Written problem: I find that I can blow 1000 cm3 of air through a drinking straw in 1.3 s. The diameter of the straw is 5 mm. Find the velocity of the air through the straw.
Answer:
Below
Explanation:
Diameter of straw = .5 cm then the radius = .25 cm
AREA of the straw = pi r^2 = pi ( .25 cm)^2 = .19635 cm^2
Now we need to find the LENGTH necessary to have a volume of 1000 cm^3
1000 cm^3 = L * . 19635 cm^2
L = 5.092.958 cm <=== your blowing covers this distance in 1.3 s
5092.958 cm / 1.3 s = 3917.7 cm / s = 39.2 m/s
Due to the surface makeup and the product that spilled, what is the direction most hazardous materials will spread based on their viscosity
Due to the surface makeup and the product that spilled, Downhill/Downwind is the direction most hazardous materials will spread based on their viscosity.
The viscosity of a fluid (liquid or gas) is its resistance to a change in form or movement of neighbouring sections relative to one another. Viscosity signifies resistance to flow. The SI unit is poiseiulle (PI).
It relates to the colloquial sense of "thickness" in liquids: syrup, for example, has a higher viscosity than water. The strength of the compensatory force is related to the viscosity of the fluid in a tube with a constant rate of flow.
In general, viscosity is affected by the condition of a fluid, such as temperature, pressure, and rate of deformation. However, in certain circumstances, the reliance on some of these features is minor. The viscosity of a Newtonian fluid, for example, does not vary appreciably with the rate of deformation. Only at very low temperatures is zero viscosity (no resistance to shear stress) observed in superfluids; otherwise, the second law of thermodynamics requires all fluids to have positive viscosity.
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3. The rougher the surface the ____________ the friction. (Greater or lesser) The _____________ the surface the lesser the friction produced. (Rougher or smoother) 4. Which would b
The rougher the surface the _Greater_ the friction. The _Smooth_ the surface the lesser the friction produced.
The rougher surface has Greater friction, as rough surfaces have more irregularities which lead to interlocking of the surface as a result it increases the friction between two surfaces.
Similarly, in the case of a Smooth surface, there are no irregularities so two surfaces could easily slit without any friction.
Friction is necessary for a number of places so that contact between two surfaces could be improved for walking we need friction and in so many places we try to reduce the friction so that we can save energy.
And we can reduce the friction by applying lubricates between the surfaces, and increase the friction we make the surface rougher.
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water can be thought of as a mass of moving particles what evidence supports this idea.
When temperature of water rises, it stats moving from higher to lower temperature area - this evidence supports that water can be thought of as a mass of moving particles .
What are the properties of liquid?The volume retention and conformity to the shape of a liquid's container are two of its most noticeable physical characteristics. When a liquid substance is poured into a container, it conforms to the shape of the container and will stay inside the container so long as the liquid state persists.
Water is a liquid. Hence, water can be thought of as a mass of moving particles.
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Mechanics sometimes use a piece of pipe to lengthen the handle of a wrench when trying to remove a very tight bolt. How does this make it easier for the mechanic to remove the bolt
Answer:
increase the length of the handle from the bolt, the torque will increase even if you have the same force
Explanation:
It allows them to apply more torque to the bolt. Torque is the turning or twisting force that causes rotation, in this case, it's applied to the bolt in an effort to loosen it. By lengthening the handle of the wrench, the mechanic is able to leverage more of their body weight and strength behind the wrench, increasing the torque they are able to apply to the bolt.
When a bolt is very tight, it can be difficult to turn it with a standard wrench. The increased torque provided by the longer handle allows the mechanic to apply more force to the bolt, which can help to loosen it. This can be particularly useful in situations where the bolt is corroded, rusted, or otherwise stuck due to a buildup of debris or other factors.