The DVD's moment of inertia for rotation about a perpendicular axis through the edge of the disk is
[tex]I = \frac{3}{2}MR^{2}[/tex]
Where, M = the mass of the disk and
R = the radius of the disk.
The parallel axis theorem connects a shape's moment of inertia about a parallel centroidal axis to its moment of inertia about any other axis.
This theorem is particularly helpful since it allows us to compute a shape's moment of inertia around any parallel axis by adding the appropriate correction factor to our knowledge of the shape's centroidal moment of inertia. Alternatively, by deducting the same factor from the moment of inertia about an axis, we can determine the related centroidal moment of inertia.
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transmission electron microscopes that use high-energy electrons accelerated over a range from 40.0 to 100 kv are employed in many applications including the study of biological samples (like a virus) and nanoscience research and development (alloy particles and carbon nanotubes, for example). what would be the spatial limitation (in pm) for this range of electrons? it is often true that resolution is limited by the optics of the lens system, not by the intrinsic limitation due to the de broglie wavelength.
Picometer's spatial constraints for the specified range of electrons would be roughly 50 picometers.
What exactly is a transmission electron microscope (TEM)?
A transmission electron microscope (TEM) is a type of microscope that produces precise pictures of the structure of materials at the atomic or molecular scale using a beam of high-energy electrons. A focussed beam of electrons is sent through a tiny sample and the transmitted electrons are collected on a fluorescent screen or an electronic detector.
As per the problem:
The spatial resolution of the TEM would be hundreds of nanometers at the lower end of the energy range of 40.0 kV. At the upper end of the range (100 kV), the spatial resolution would be in the tens of nanometers.
In general, TEMs with electron energies ranging from 40 to 100 kV are capable of discerning features as small as 50 picometers (pm). The actual spatial resolution, however, will be determined by a number of criteria, including the quality of the electron optics, the stability of the electron beam, and the sample preparation.
It's worth mentioning that TEMs with considerably greater electron energies (up to several hundred kV) are available, allowing for spatial resolutions as low as one angstrom (less than 0.1 pm).
The method of transmission electron microscopy (TEM) is used to examine the characteristics of incredibly small specimens. Scientists can now see aspects like structure and morphology thanks to technology that accelerates an electron beam through a very thin specimen.
How does TEM work?
Transmission electron microscopes (TEM) are types of microscopes that provide an image that is greatly enlarged while viewing specimens using an electron particle beam. TEMs have a 2 million-fold magnification capacity.
What are the three different TEM types?
A TEM typically has three steps of lensing. The projector lenses, objective lenses, and condenser lenses make up the stages.
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Use the drop-down menus to complete the statements. When the 3.0 kg cylinder fell 500 m, the final temperature of the water was____°c and the change in temperature was____°c. when the 9.0 kg cylinder fell 500 m, the final temperature of the water was____°c and the change in temperature was_____°c.
T = 0.82 °C is the difference in water temperature caused by the first cylinder. The final water temperature, T₀, was 20.82 °C. The second cylinder's temperature change, T', was 2.45 °C. The final water temperature, T', was 23.27 °C.
The cylinder weighs m = 3.0 kg.
The cylinder dropped from a height of h = 500 meters.
M = 9 kg is the weight of the second cylinder.
The second cylinder dropped from a height of 500 meters, h'.
T = 20° C is the average water temperature.
The water's mass, m', is equal to 10 kg.
Consider that the kinetic energy is completely transformed into thermal energy upon contact with the water.
K.E = P.E
P.E = mgh
= 3 x 9.8 x 500
= 14700 J
The change in temperature,
ΔT = E ÷ m c
= 14700 ÷ (10 x 1800)
= 0.82° C
The first cylinder's contribution to the water's temperature change, ΔT = 0.82 ° C
the water's ultimate temperature,
T₀ = T + ΔT
= 20° C + 0.82° C
= 20.82° C
The final temperature of the water, T₀ = 20.82° C
The K.E of the second cylinder falling from height h to the surface of the water is,
P.E = Mgh'
= 9 x 9.8 x 500
= 44100 J
The change in temperature,
ΔT' = E' ÷ m c
= 44100 ÷ (10 x 1800)
= 2.45° C
The change in temperature due to the second cylinder, ΔT' = 2.45° C
The final temperature of the water,
T' = T + ΔT + ΔT'
= 20° C + 0.82 ° C + 2.45° C
= 23.27° C
Hence, the final temperature of the water, T' = 23.27° C.
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Answer:
1) 28.52
2) 3.52
3) 35.55
4) 10.55
Thomas sits on a small rug on a polished wooden floor. The coefficient of kinetic friction between the rug and the slippery wooden floor is only 0. 12. If thomas weighs 650 n, what horizontal force is needed to pull the rug and thomas across the floor at a constant speed?.
The horizontal force needed to pull the rug and Thomas across the floor at a constant speed is 78 N.
Taking to Thomas and the rug as a single system, if they slide across the floor at constant speed, this means that their acceleration is just zero. According to Newton's 2nd Law, if the acceleration is zero, this means that the net force applied is zero too.
In the horizontal direction, there are two forces acting on Thomas and the rug (as a single system), the applied force, and the kinetic friction force, which must be equal and opposite each other:
= f (Thomas) = f(rug)
By definition, as the friction force is the horizontal component of the contact force, it can be expressed as follows:
= f(rug) = μF(normal)
where μ = coefficient of kinetic friction = 0.12 and F(normal)
In this case, as the system thoomas+rug is not accelerating in the vertical direction, and the surface is level, the normal force (which is always perpendicular to the surface), must be equal to the force of gravity.
Assuming that the mass of the rug is neglectable, we can write:
= F(normal) = F(g)
= F(g) = mg
= 650 N
Substituting in the first equation,
= f (Thomas) = f(rug) = 0.12 X 650
= f = 78 N
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what is the maximum strength of the b field in an electromagnetic wave that has a maximum e-field strength of 1000 v/m
The maximum strength is 333.33 × 10⁻⁸ Vs/m².
What is an electromagnetic wave?
Electromagnetic waves, which include radio waves, visible light, and gamma rays, are made up of electric and magnetic fields and move through space or a material medium at the speed of light. Time-varying magnetic and electric fields are linked to one another at right angles and perpendicular to the direction of motion in such a wave. The strength and frequency v of the time fluctuation of the electric and magnetic fields define an electromagnetic wave.
We know,
B = [tex]\frac{E}{c}[/tex]
Where,
c = speed of light = 10⁸ m/s
B = [tex]\frac{1000 v/m}{3 X 10^{8}m/s }[/tex] = 333.33 × 10⁻⁸ Vs/m²
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The stars of the Milky Way are all near a great circle on the Celestial Sphere. This great circle?
A. is the Celestial Equator.
B. is the Ecliptic.
C. passes through the Celestial Poles.
D. is none of the other things listed here.
It is D. is none of the other things listed here. The stars of the Milky Way are all near a great circle on the Celestial Sphere. This great circle is called the milky circle
The Milky Circle is a great circle on the celestial sphere that is defined by the stars of the Milky Way. It is visible to the n_aked eye and is one of the most recognizable features of the night sky, stretching across the entire sky from horizon to horizon. It is composed of millions of stars, all of which reside in the same galactic plane and are moving in the same direction around the galactic center. The Milky Circle is a beautiful sight to behold, especially during a clear night, when it appears as a wide band of light. It is a reminder of the vastness of the universe and the beauty of the night sky. It is also a great way to orient oneself in the night sky, as its stars form a familiar pattern that can help one find constellations and other objects.
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plane a flies 600 km in 3 hours , plan B flies 500 km in 4 hours. how much faster is plane A than plane B?
Answer:
Below
Explanation:
Find unit rates ( km / hr) for each to compare
A : 600 km / 3 hr = 200 km/hr
B : 500 / 4 = 125 km hr
A flies 75 km/hr faster than B
how can you tell that an electroscope has an eletrical charge? can you tel from an electroscope alone what kind of charge it has? explain
An electroscope is used to detect the presence of an electric charge. It consists of two metal plates or leaves that are suspended from an insulating support.
When an electric charge is brought near the electroscope, the leaves will diverge due to the electrostatic force of repulsion between them.
The extent of the divergence will depend on the magnitude of the charge. However, it is not possible to determine the sign (positive or negative) of the charge from an electroscope alone.
An electroscope is a device used to detect the presence of an electric charge. To tell if an electroscope has an electric charge, you can observe the behavior of the metal leaves on the electroscope.
When an electroscope has an electric charge, the metal leaves on the electroscope will spread apart. This is because the same charge on the metal leaves repels each other, causing them to move away.
It is not possible to tell from an electroscope alone what kind of charge it has. To determine the type of charge, you will need to use another device to induce a charge on the electroscope and observe the behavior of the leaves. If the leaves move away from each other, the electroscope has a positive charge. If the leaves move towards each other, the electroscope has a negative charge.
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considers the variables of the attitude change approach—that is, features of the source of the persuasive message, contents of the message, and characteristics of the audience are used to determine when attitude change will occur. According to the elaboration likelihood model of persuasion, there are two main routes that play a role in delivering a persuasive message: central and peripheral.
According to the elaboration likelihood model of persuasion, there are two main routes that play a role in delivering a persuasive message: central and peripheral. This statement is true.
Two distinct persuasion pathways are used to process persuasive message. It occurs when interested parties pay attention to the arguments, analyze the data, and give a positive response.
According to the elaboration likelihood model of persuasion, there are two primary ways to convey a persuasive message:
Central routethe peripheral routeThe audience, or target, must be analytical and willing to analyze the data in order for the principal path of persuasion to be effective. The peripheral path to persuasion, which is a way for someone who is unable or unwilling to put out the effort to carefully consider the argument made in the message, to process a persuasive message, is unsuccessful.
Your question is incomplete but most probably your full question was
considers the variables of the attitude change approach—that is, features of the source of the persuasive message, contents of the message, and characteristics of the audience are used to determine when attitude change will occur. According to the elaboration likelihood model of persuasion, there are two main routes that play a role in delivering a persuasive message: central and peripheral.(true of false)
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a 1810 kg pile driver is used to drive a steel i-beam into the ground. the pile driver falls 2.04 m before contacting the beam, and it drives the beam 16.4 cm into the ground before coming to rest. find the magnitude of the average force the beam exerts on the pile driver while the pile driver is brought to rest. the acceleration of gravity is 9.8 m/s 2 . answer in units of n.
The magnitude of the average force the beam exerts on the pile driver while the pile driver is brought to rest is 17,738 N.
What is the average force the beam exerts on the pile driver?
The average force the beam exerts on the pile driver is determined by applying Newton's third law of motion.
Newton's third law of motion states that action and reaction forces are always equal and opposite.
Mathematically, Newton's third law of motion is given as;
Fa = Fb
where;
Fa is the force applied by object AFb is the reaction experienced by object BThe magnitude of the average force the beam exerts on the pile driver while the pile driver is brought to rest is equal to the weight of the driver acting downwards.
Downward force exerted by the driver = 1810 kg x 9.8 m/s² = 17,738 N
Upward force exerted on the driver by the beam = -17,738 N
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A block with a mass of 55 kg is pulled with a force of 220 n. Assuming a frictionless surface, what will be the acceleration of the block?.
When a block with a mass of 55 kg is dragged with a force of 220 n, the acceleration is 4 m/s².
The frictionless surface it is maintained on means that the block will be under a net external force of 220 N.
The block weighs 55 kg.
F = m × a
In this case, the item is subjected to a net external force (F), mass (m), and acceleration (a).
Using the appropriate values in place of F and m:
220 = 55 × a
220 = 55 × a
Taking 55 as a factor, we get 4 = a.
As a result, a 55-kilogram item is drawn over a frictionless surface with an acceleration of 220 N is 4 m/s².
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a 2.5 kg copper block of mass at 500 degrees celsius is placed on a large block of ice. given that the specific heat capacity of copper is 390 j/kg and the latent heat of ice is 335000 j/kg, what is the maximum amount of ice that can melt?
The maximum amount of ice that can melt is 1.45 kg. The most heat that a copper block can dissipate Q=m * C
M = copper block's mass
C = copper's heat
Copper block mass, m=2.5 kg=2500g
the copper block's temperature increasing, =500^o C
Copper-specific heat, C = 0.39J / goC
The heat of water fusion, L=335J/g
The much heat that a copper block can possibly lose,
Q = m × C
=2500 × 0.39×500
=487500J
When the copper block is placed on the ice block, let be the volume of ice that melts. = m1 g
The heat that the melted ice gained,
Q=m1L
m1=Q / L
=487500 / 335
=1455.22g
Hence, the maximum amount of ice that can melt is 1.45 kg.
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suppose a 50 turn coil lies in the plane of the page in a uniform magnetic field that is directed into the page. the coil originally has an area of0.15m2. it is squished to have no area in0.075s.what is the magnitude of the average induced emf in volts if the uniform magnetic field has a strength of 1.5 t?
The magnitude of the average induced emf if the uniform magnetic field has a strength of 1.5T is 150 Volts.
We know that the rate of change in magnetic flux will cause EMF in a closed loop because of Faraday's law of electromagnetic induction.
So, according to Faraday's law
[tex]EMF = N\frac{BA}{del T}[/tex]
where,
N = 50
B = 1.5T
del T = 0.075s
A = 0.15 [tex]m^{2}[/tex]
So,
[tex]EMF = 50(\frac{1.5*0.15}{0.075})[/tex]
[tex]EMF = 150 Volts[/tex]
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What is the time period of a wave with a frequency of 200hz?
Answer:
Frequency=200Hz Time Period=1/Frequency =1/200=0.005sec.
Explanation:
A car tart from ret and travel for 3. 4 with a uniform acceleration for 17. 0 m/. What i the final velocity of the car?
Final velocity = 57.8m/s
What is acceleration?
In mechanics, acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities. The orientation of an object's acceleration is given by the orientation of the net force acting on that object
Acceleration = (Initial velocity - Final velocity) /time
Given,
time = 3.4s
Acceleration = 17 m/s^2
17 = (0-v)/3.4
final velocity = 17 X 3.4 = 57.8 m/s
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a sample of gas weighs 3.33 g and occupies a volume of 1.365 l at 95 °c and 790 torr. identify the gas sample.
This molar mass suggests that the gas sample is likely a compound made up of a single element, such as a noble gas. One possibility is that the gas sample is argon, which has a molar mass of approximately 39.9 g/mol. Alternatively, the gas sample could be krypton, which has a molar mass of approximately 83.8 g/mol.
Molar mass is a term used in chemistry to refer to the mass of a substance in grams per mole. It is defined as the mass of a substance divided by the number of moles of that substance. The molar mass of a substance is often used to convert between mass and moles, or to calculate the mass of a substance required to react with another substance in a chemical reaction.
To identify the gas sample, you can use the ideal gas law, which states that the pressure of a gas is directly proportional to its temperature and the number of moles of the gas, and inversely proportional to the volume it occupies.
The ideal gas law is given by the following equation:
PV = nRT
where P is the pressure of the gas in pascals, V is the volume of the gas in liters, n is the number of moles of the gas, R is the universal gas constant, and T is the temperature of the gas in kelvins.
Using the values provided in the question, we can solve for the number of moles of the gas:
n = (PV)/(RT)
= (790 torr * 1.365 L) / (8.314 J/mol*K * 368 K)
= 0.0478 moles
Since the mass of the gas sample is 3.33 grams and the number of moles is 0.0478 moles, we can use the molar mass of the gas to identify it. The molar mass is given by the following equation:
M = m/n
where M is the molar mass in grams per mole, m is the mass of the gas in grams, and n is the number of moles of the gas.
Solving for the molar mass, we get:
M = 3.33 g / 0.0478 moles
= 70.0 g/mol
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a slender, uniform metal rod of mass m and length l is pivoted without friction about an axis through its midpoint and perpendicular to the rod. a horizontal spring, assumed massless and with force constant k, is attached to the lower end of the rod, with the other end of the spring attached to a rigid support.
Moment of inertia of the metal rod, Ml2/12, has a halfway.
A perpendicular bisector is a line that forms a right angle at the junction of two adjacent line segments. So a perpendicular bisector always divides a line segment down the middle. Even or consistent division is implied by the word "bisect" itself.The perpendicular bisector of a triangle's side is a line that is perpendicular to that side and passes through the center of that side. The intersection of a triangle's three perpendicular bisectors is known as its circumcenter (the center of the circle through the three vertices). When a line segment divides another line segment at a straight angle, it is said to be a perpendicular bisector. At the midpoint, divide it into two equal parts.The spring is compressed by a very little amount when the rod is twisted at an angle. the torque moment about an axis caused by springs,
F= (l/2)kx
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In a dental office, the person giving a dental x-ray examination leaves the room while the x-ray source is active. dental office workers do not, however, take similar precautions against the bright lights of the exam room. explain this difference.
The difference between a dental X-ray examination and the bright lights of the exam room lies in the type of radiation emitted. During a dental X-ray examination, the X-ray source emits ionizing radiation, which can be harmful if a person is exposed to it for too long.
This is why the person giving the X-ray examination will leave the room while the X-ray source is active. The bright lights of the exam room, on the other hand, emit non-ionizing radiation, which is not as harmful and can be safely exposed to without any special precautions.
The type of radiation emitted is an important factor when considering safety precautions. Ionizing radiation can be dangerous, so it is important to take the necessary steps to protect oneself from it. Non-ionizing radiation, on the other hand, is not as dangerous and can be safely exposed to without taking any special precautions. This is why the person giving the X-ray examination will leave the room while the X-ray source is active, but dental office workers do not take similar precautions against the bright lights of the exam room.
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a woman pushes a 50.0 kg crate across a floor by applying a horizontal force of 135.0 n. if the coefficient of kinetic friction is 0.24, calculate the magnitude of kinetic friction.
The magnitude of kinetic friction is 3.75.
What is kinetic friction?
The resistance to motion brought on by the contact of an item moving against a surface. When you push something ahead, friction forces it to move backwards because of the force of kinetic friction, which opposes the object's motion.
We know,
Frictional force, f = μN
N= force =mg
Given,
Sliding friction, μ = 0.25
Thus, f = 0.24 × 50 × 10 = 120N
Hence,
[tex]F_{net}[/tex] = [tex]F_{app}[/tex] - f
= 135-120 = 15N
Also we know,
f = μN
=0.25 × 15 = 3.75.
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Hey you know these safety barriers you see on the freeway all the time? Explain the physics behind how the safety barriers help save lives during car accidents.
In the event of an accident or a car crash, road safety barriers and fences prevent automobiles from running off the road.
Which laws explain the physics behind the safety barriers and their use ?Newton's Three Laws of Physics can help explain what these safety barriers are and how they help to save lives during car accidents :
I. Unless acted upon by an imbalanced force, an object at rest will remain at rest, and an object at constant velocity will remain at constant velocity.
II. If an imbalanced force occurs, a mass will experience acceleration proportional to its magnitude.
III. When you apply a force to an object, you will feel a force that is equal in magnitude but opposite in direction.
What are the reasons for installing road safety barriers ?To protect and prevent out-of-control automobiles from entering other vehicles' lanes. As a result, the safety road barriers are installed in the middle of the road.To keep the automobiles from sliding down an incline. If there is a drop of 5 meters or more along the road, the road safety barriers should be put at one end of the road.To keep an out-of-control car from collapsing and colliding with a roadside obstacle. If there are numerous items along the road, such as large traffic signs, bridge piers, poles, and so on, safety road barriers should be built on one end of the road.Can learn more about safety barriers from https://brainly.com/question/17086354
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When a spring is stretched by 2 cm its potential energy?
The spring constant is 50000 N/m.
The spring constant is a measure of the stiffness of a spring.
Springs with higher stiffness are more difficult to stretch.Under the action of external forces, the spring is deformed and returns to its original position when the force is removed.Spring constant is denoted by 'k' and has a SI unit as N/m.It has different values for different springs and different material.Electric potential energy of a spring can be calculated as P.E. = (1/2)*k*x²
where, k is the spring constant,
x is the displacement caused by the spring
The spring stores energy = 100 J
Displacement suffered by the spring = 2 cm = 0.02 m
P.E. = (1/2)*k*x²
k = (2*P.E.) / x²
k = (2 * 100) / (0.02)²
k = 200 / 0.0004
k = 50000 N/m
The spring constant for a spring having potential energy as 100 J is 50000 N/m.
The question is incomplete the complete question is "When a spring is stretched by 2 cm its potential energy is 100J? What is the spring constant".
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a ball is thrown horizontally with a speed of 10 m/s off a 20-m tall cliff. how fast will it be moving when it hits the ground? answer in m/s.
A ball is hurled from a 20-m-tall cliff horizontally at a speed of 10 m/s. When it lands, it will be traveling at a speed of 22.3 m/s.
Velocity at equal height remains equal in magnitude and hence
v² =u²+2as
v² = 10²+2*10*20
v²=100+400
v²=500
v=√500
v=22.3 m/s
The speed of an object, sometimes known as "v" in daily speech and kinematics, is a scalar quantity that measures how much its position changes over time or how much it changes per unit of time. The distance traveled by an object during a time interval is equal to the duration of the interval divided by the object's speed, with the instantaneous speed being the upper limit of the average speed as the interval's duration becomes closer to zero. Velocity differs from speed.
Distance divided by time is the formula for measuring speed. A meter per second (m/s) is the metric unit of speed.
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for what slit-width-to-wavelength ratio does the first minimum of a single-slit diffraction pattern appear at 30 ∘ ?
The slit-width-to-wavelength ratio that the first minimum of a single-slit diffraction pattern appear at 30° is 1/2.
What slit-width-to-wavelength ratio does the first minimum of a single-slit diffraction pattern appear ?The distance between identical points (adjacent crests) in adjacent cycles of a waveform signal propagated in space or along a wire is defined as the wavelength. The distance between any given point in a wave and the same point in the next wave cycle. This can be from crest to crest, trough to trough, null to null, and so on.
It should be noted that for the first minimum, the value of m is equal to 1. That is m = 1.
Therefore, the slit ratio of the slit width to wavelength will be:
a / wavelength = 1 / sin
Since the angle is 30°, this will be:
a / wavelength = 1 / sin 30°
= 1 / 0.5
= 2
Therefore, the wavelength is 2.
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What symbol would best represent an electric fan speed controller in an electric circuit?.
The letter M surrounded in a circle, which stands for a motor, would be the finest symbol to symbolize an electric fan speed controller in an electrical circuit.
A little motor, which is a simplified description of how a fan operates, causes the blades to rotate. Therefore, the motor sign in the circuit will be a M inside a circle, which stands for the motor.Any device that transforms energy from one form to another into mechanical energy, especially an internal combustion engine or a set of coils and magnets that transform electric current into power.Electric motors can be powered by alternating current (AC) sources like a power grid, inverters, or electrical generators or by direct current (DC) sources like batteries or rectifiers. Considerations including the type of power source, construction, application, and type of motion output can be used to categorize electric motors. They can be AC or DC powered, brushed or brushless, single-phase, two-phase, or three-phase, axial or radial flux, air-cooled or liquid-cooled, and can use any type of cooling system.For industrial application, standardized motors offer practical mechanical power. The largest have an output more than 100 megawatts and are used for pumped storage, pipeline compression, and ship propulsion.
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Which of the following is required in order for a copper wire to create a magnetic field?
A power source such as a battery.
Electrons that are attracted to each other.
Magnets that can help the electrons move.
An ammeter to measure the strength of the current
Coil your copper wire around an enormous iron nail to create an even more powerful electromagnet. Magnetic induction causes the nail to become into a magnet, strengthening the entire structure.
What copper wire to create a magnetic field?Electric charges in motion and the intrinsic magnetic moments of elementary particles, which are connected to their spin, a fundamental quantum feature, create magnetic fields.
Electric charge movement results in the creation of a magnetic field. Inside the coil, the magnetic field is even and straight.
Therefore, You may create weak magnets by coiling some copper wire and attaching the ends to a small battery.
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Answer:
A is the answer
Explanation:
An adult inhales about 6.0×10−4 m3 of fresh air during a breath. only 20% of fresh air is oxygen. Assume the pressure in the lungs is 1.0×10^5 pa and the air is at a temperature of 300 k. How many oxygen molecules are in each breath?
Number of oxygen molecules in each breath is 2.9 × 10²¹ mol.
The volume of air inside a breath is
V= 6 × 1/10⁴ m³
Of this, only 20% is oxygen, so the volume of oxygen is
V= 0.20 × 6 × 1/10⁴ m³
Then we can find the number of moles of oxygen by using the ideal gas equation
PV = nRT
Solving for n, we find
n= PV/RT = 4.8 × 1/10³ mol
Since the number of molecules in 1 mol is
6.022×10²³
(Avogadro number)
Then the number of molecules in of oxygen is
(4.8 × 1/10³ mol)(6.022×10²³ mol)
= 2.9 × 10²¹ mol
What is the ideal gas law?
The ideal gas law, also called the general gas equation, is the equation of state for a hypothetical ideal gas.
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What force must be exerted on the pedal cylinder of a hydraulic lift to support the weight of a 2000-kg car (a large car) resting on the wheel cylinder? the pedal cylinder has a 2. 00-cm diameter and the wheel has a 24. 0-cm diameter.
The Force that must be exerted on the pedal cylinder of a hydraulic lift is 136.11 newton.
Archimedes' principle states that:
F1 / A1 = F2 / A2
F2 = (A2 / A1) * F1
Also, the formula for the force is F = mg. (g is gravity = 9.8)
Formula for the area of the cylinder is A = πr^2, therefore we get
F2 = (πr2^2 / πr1^2) * mg
Given the diameter of the cylinders as 2 cm and 24 cm, so, the radius is :
r1 = 2/2 = 1
r2 = 24/2 = 12
π = 3.14
Substituting the above values in the formula, we get:
F2 = (π 1^2 / π 12^2) * 2000 * 9.8
F2 = (3.14*1^2 / 3.14*12^2)*2000*9.8
F2 = 136.11 N
So, we can conclude by saying that the force that must be exerted on the pedal cylinder of a hydraulic lift is 136.11 newton.
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A carpenter tosses a shingle off a 9.4 m high roof, giving it an initial horizontal
velocity of 7.2 m/s.
An apple falls from a tree. The gravitational force on the apple is 1 n. If air resistance is 0. 1 n, what is the net force on the apple?.
The net force on the apple is 0.9 N
There are two forces acting on an apple.
Gravitational force = 1 N downwards
Resistance force = 0.1 N rightwards
These two forces are acting at right angle to each other.
The net force on the force gauge is the net resultant force of the compression force and the resistance force that are being measured
Net force is also said to be the vector sum of the all forces acting on the object at a certain instance. Forces with same magnitude in opposite directions cancel each other.
The gravitational force will act downward and the air resistance will try to hinder the speed so the net force will be
Net force = 1 - 0.1 = 0.9 N
Therefore, the net force will be 0.9 N
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During the Vibrations unit, Mr. Ricelander gave each lab group a spring and challenged them to determine the spring constant and then to select a mass to hang from the spring so that it oscillates up and down with a period of 1.0 seconds. Laquinta and Jamar determine the spring constant to be 38.4 N/m. What mass (in grams) should they choose to hang from the spring in order to meet the challenge?
The mass (in grams) they should choose to hang from the spring in order to meet the challenge is 973.7 g
How do I determine the mass?The period of oscillation is related to mass and spring constant according to the following formula:
T = 2π√(m/K)
Where
T is the periodm is the mass K is the spring constantUsing the above formula, we can obtain the mass that Laquinta and Jamar will choose in order to meet the challenge. Details below:
Period (T) = 1.0 secondSpring constant (K) = 38.4 N/mPi (π) = 3.14Mass (m) =?T = 2π√(m/K)
Square both sides
T² = 4π²m / K
Cross multiply
4π²m = T²K
Divide both sides by 4π²
m = T²K / 4π²
m = (1² × 38.4) / (4 × 3.14²)
m = 0.9737 Kg
Multiply by 1000 to express in grams
m = 0.9737 × 1000
m = 973.7 g
Thus, the mass is 973.7 g
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What is the image of G for a dilation with center 0 0?
The image of G for a dilation with center 0 0 is G(1,-3).
Dilation is the process of changing the size of an object or shape by shrinking or enlarging its dimensions by some factor. For example, a circle with a radius of 10 units will shrink to a circle with a radius of 5 units. Applications of this method are used in photography, crafts, creating logos, etc. Geometry has four basic transformation types.
RotateTranslateReflectionResize or StretchIf the scale factor is greater than 1, the image will be stretched.If the scale factor is between 0 and 1, then the image shrinks.If the scale factor is 1, then the original image and the image produced are congruentPoint G lies 1 on the X-axis and -three on the Y-axis.
when the size component is 1, the photograph stays similar to its pre-image.
Dimensions of the authentic plotted factor x Scale thing = Dimensions of
the brand new plotted factor
(1,-3) x1 = (1,-3).
After the dilation, pre-photograph image has gone through the transformation
the subsequent way. G(0,0)→ G(1,-3)
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