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A bread of mass m is located on a parabolic wire with its axis vertical and vertex directed towards downward as shown in the attachment and whose equation is x² = ay. If the Coefficient of friction is (μ), the highest distance above the x - axis at which the particle will be in equilibrium.
Thanks for Answering ~
![[tex] \large \boxed{ \boxed{ \boxed{ \boxed{ \mathfrak{question}}}}}[/tex]A Bread Of Mass M Is Located](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/MvuPTUHCkGtCq9ZhspqbLZ68BiNvCkS1.jpeg)
Answers
At equilibrium, the coefficient of static friction is given by the tangent of
the angle formed by the wire and the horizontal.
The highest distance above the x-axis at which the particle will be in equilibrium is; \(\underline{\displaystyle y = \frac{a \cdot \mu^2}{a} }\)Reasons:
The given parabolic equation is; x² = a·y
The coefficient of friction = μ
At equilibrium, we have;
μ·\(F_N\) = \(\mathbf{F_P}\)
Where;
\(F_N\) = The normal reaction = m·g·cos(θ)
\(F_P\) = The component of the force of the weight of the bread acting along the plane = m·g·sin(θ)
Therefore;
\(\displaystyle \mu = \frac{m\cdot g \cdot sin(\theta)}{m \cdot g \cdot cos (\theta)} = \mathbf{tan (\theta)}\)
Where;
θ = The angle the wire forms with the horizontal at the point the bread is in equilibrium
From trigonometric ratios, we have;
\(\displaystyle tan(\theta) = \mathbf{ \frac{\Delta y}{\Delta x}}\)
Which for the curved wire gives;
\(\displaystyle tan(\theta) = \lim_{\Delta x \to0} \frac{\Delta y}{\Delta x} = \mathbf{\frac{dy}{dx}}\)
\(\displaystyle y = \frac{x^2}{a}\)
Therefore;
\(\displaystyle \frac{dy}{dx} = \frac{d}{dx} \left(\frac{x^2}{a} \right) = \mathbf{\frac{2 \cdot x}{a}}\)
Which gives;
\(\mu = tan(\theta) = \displaystyle \mathbf{\frac{dy}{dx}} =\frac{2 \cdot x}{a}\)Therefore;
\(\displaystyle x = \frac{a \cdot \mu }{2}\)
Which gives;
\(\displaystyle y = \frac{ x^2}{a} = \frac{\left(\frac{a \cdot \mu}{2} \right)^2 }{a} = \mathbf{\frac{a \cdot \mu^2 }{4}}\)
\(Highest \ distance \ above \ the \ x-axis \ for \ equilibrium \ of\ particle \ is; \ \displaystyle \underline{y = \frac{a \cdot \mu^2 }{4}}\)Learn more about friction on an inclined plane here:
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A truck heading east has an initial velocity of 6 m/s. It accelerates at 2 m/s2 for 12 seconds. What distance does the truck travel in the given time?
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The answer (distance) is:
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How do you find displacement with velocity and acceleration?
Displacement (s) of an object equals, velocity (u) times time (t), plus ½ times acceleration (a) times time squared (t2). Use standard gravity, a = 9.80665 m/s2, for equations involving the Earth's gravitational force as the acceleration rate of an object.
How do you find velocity from acceleration?
Multiply the acceleration by time to obtain the velocity change: velocity change = 6.95 * 4 = 27.8 m/s . Since the initial velocity was zero, the final velocity is equal to the change in speed. You can convert units to km/h by multiplying the result by 3.6: 27.8 * 3.6 ≈ 100 km/h.
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The average distance between the Sun and the Earth's is
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the displacement of the planet after exactly:
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-1 year
Answers
The distance traveled by the Earth after 6 months or 1 year is equal to the circumference of its orbit (2πR), and the displacement is zero for both time periods. To calculate the distance traveled and the displacement of the Earth after a certain time period, we can use the formula:
Distance = Speed * Time In this case, the speed of the Earth's revolution around the Sun is constant, so we can use the average distance between the Sun and the Earth (R) as the value for speed. Distance traveled after 6 months: The time period is 6 months, which is equal to 0.5 years.
Distance = R * Time
Distance = (1.5 * 10^8 km) * (0.5 years)
Distance = 7.5 * 10^7 km Displacement after 6 months: Displacement refers to the change in position, so we need to consider the direction as well. After 6 months, the Earth would have completed half of its revolution around the Sun, so the displacement is zero. This is because the Earth ends up in the same position relative to the Sun after half a year. Distance traveled after 1 year:
The time period is 1 year.
Distance = R * Time
Distance = (1.5 * 10^8 km) * (1 year)
Distance = 1.5 * 10^8 km
Displacement after 1 year: Similar to the previous case, the Earth completes one full revolution around the Sun in one year, so the displacement is zero. The Earth returns to its initial position after a complete revolution. Therefore, the distance traveled by the Earth after 6 months or 1 year is equal to the circumference of its orbit (2πR), and the displacement is zero for both time periods.
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If the two forces on an object are equal in size and opposite in direction, the forces are balanced, and no change
in motion results. Which of the following situations is an example of balanced force acting upon an object?
O A rope being pulled from both sides with equal force
O An 11-gram pen falling off a table onto the floor
O A car moving constantly at 30 miles per hour
O A rock accelerating as it rolls down a hill
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Answer:
a rope being pulled from both sides with equal force
Explanation:
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would you say the rate if cell growth is increasing or decreasing explain.
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why does a star go through a cycle?
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Answer:
the sun
Explanation:
that is how the solar system works
If this inclined plane moves 3 cm to the left how high will it lift the object
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Answer:
It would lift the object to the same height than before you move it 3 centimeters to the left. You see, the height doesn't change if you move the inclined plane horizontally, because height is a vertical variable.
Therefore, if the inclined plane has a height of 1 meters, then the object will be lifted 1 meters up, no matter if you move the inclined plane 50 meters horizontally, it won't change its height.
What is promising evidence of a habitat that might support life
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Detailed Answer please, will give thumb up rating definitely
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A promising evidence of a habitat that might support life on the planet Mars is water.
There is evidence supporting the existence of liquid water on Mars from numerous sources. The finding of repeated black streaks on Martian slopes and the presence of hydrated minerals suggest the potential of seasonal or location-specific briny water flows. A necessary component of life as known is liquid water.
Additionally, Mars possesses underground ecosystems that could provide defence against radiation and severe surface conditions. Researchers have found evidence of ancient underground hydrothermal systems as well as beneath ice. These settings might offer consistent conditions for the development of microbial life. Methane gas has been found in the Martian atmosphere, along with variations over time, and this has led to questions regarding its origin. Both geological and biological processes can result in the production of methane.
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GENTE ME AJUDEM NESTA QUESTÃO POR FAVOR, TENHO PROVA ONLINE AMANHÃ! "Um sonar de um navio de pesca localizou um cardume de sardinhas a 300 m de profundidade. Sabendo que a velocidade de propagação do som na água tem o valor de 1500 m/s, calcula o tempo que decorre desde a emissão dos ultra-sons e a sua receção no navio." Por favor!
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Answer:
The time between the emission of the wave and it's reception was 0.4 seconds.
Explanation:
The sound wave emitted by the sonar traveled from the boat to the fishes and came back, therefore the distance of it's total route is twice the distance from the boat to the fishes. We can apply the average speed formula in order to solve this problem, this is done below:
\(\text{speed} = \frac{\text{distance}}{\text{time}}\)
We were given the distance traveled by the wave and it's speed, therefore we can solve for the time:
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The time between the emission of the wave and it's reception was 0.4 seconds.
At high pressures, what two factors will cause deviations during ideal gas law calculations?
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At high pressures, the two factors that cause deviation during ideal gas law calculation are the size of molecular and intermolecular force.
The high pressure causes the molecules to approach each other at a very close distance. In that case, if the intermolecular force of attraction is high, the molecules may undergo a state transition, which will result in a completely different outcome as predicted by Ideal gas law.
If the size of the molecule is more, that is for heavy gases like refrigerants, the ideal gas law deviates due to the fact that, with increase in pressure, the volume of gas can no longer be considered as negligible.
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B.F. Skinner is best known for the development of _____.
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Answer:
the theory of behaviorism
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i looked it up¯\_(ツ)_/¯
The best way to choose the baseball bat that's right for you is by choosing one that is not too long and not too __________.
A. round
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C. heavy
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Answer:
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You need to be able to lift the bat.
When in use, a lamp is designed to draw
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Answer:
R=∆V/I=12/0.6=20ohm....
A piston-cylinder device initially contains a mixture of saturated water and saturated steam at 200kPa. The total mass is 0.5 kg and the volume is 0.3 m
∧
3. Now the fluid is heated up under the same pressure, until the volume doubles. Find (a) the initial temperature (b) the final temperature (c) the total internal energy change of the fluid during this process. (d) Also sketch the process on the P-v and I-v diagrams. including the initial state, the final state, and the path.
Answers
(a) The initial temperature is 373.95 K.
(b) The final temperature is 546.15 K.
(c) The total internal energy change of the fluid during this process is 515.4 kJ.
(d) The process can be represented as an isochoric heating process on the P-v diagram and as an isobaric expansion process on the T-v diagram.
(a) To find the initial temperature, we can use the saturated steam tables. At a pressure of 200 kPa, the corresponding saturation temperature is 373.95 K.
(b) Since the volume doubles, the process is an isochoric (constant volume) heating process. Using the ideal gas law, we can determine the final temperature. The initial and final volumes are related by the equation V_final = 2V_initial. Since the mass remains constant, the specific volume (v) is inversely proportional to the density (ρ). Therefore, ρ_final = ρ_initial/2. Using the ideal gas law, we can calculate the final temperature to be 546.15 K.
(c) The total internal energy change can be calculated using the equation ΔU = mC_vΔT, where m is the mass of the fluid and C_v is the specific heat at constant volume. Given the mass as 0.5 kg, the specific heat of water at constant volume, and the temperature change, we can find that the total internal energy change is 515.4 kJ.
(d) On the P-v diagram, the process is represented as a vertical line at 200 kPa, indicating constant pressure. On the T-v diagram, the process is shown as an upward-sloping line, indicating an isobaric expansion process. The initial state is represented as a point on the left, and the final state is represented as a point on the right. The path between the initial and final states is a straight line connecting these two points.
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Một dây dẫn bằng nicorom dài 30m, tiết diện 0,3mm2 được mắc vào hiệu điện thế 220v . tính cường độ dòng điện chạy qua dây dẫn
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Answer: it is A hope that helps
Explanation:
If a truck starts from rest and it has an acceleration of 4 m/s² for 4 seconds, calculate its final velocity. What will be the distance travelled by truck during the time interval?(Ans=5m/s²)
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Which of the following devices help protect against temporary, above-normal voltages?
A. Grounding wire
B. Power strip
C. Surge protector
D. ESD grounding strap
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The device that helps protect against temporary, above-normal voltages is a surge protector.
This device is designed to divert excess voltage away from connected devices and prevent damage caused by power surges. A grounding wire and ESD grounding strap are used to protect against electrostatic discharge and do not provide protection against voltage spikes. A power strip is simply an extension cord and does not have any built-in surge protection.
It helps prevent damage to connected equipment by either blocking or redirecting excessive voltages to the ground. Other devices, like grounding wires, power strips, and ESD grounding straps, may offer some protection, but surge protectors are specifically designed to handle voltage spikes, ensuring the safety of your devices.
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A biologist keeps a specimen of his favorite beetle embedded in a cube of polystyrene plastic. The hapless bug appears to be 1.70 cm within the plastic. What is the beetle's actual distance beneath the surface?
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The beetle's actual distance beneath the surface is 1.70 cm.
What is the true depth of the beetle beneath the surface?The given information states that the beetle appears to be 1.70 cm within the plastic. This means that the beetle is located at a distance of 1.70 cm from the outer surface of the cube of polystyrene plastic. However, the actual distance of the beetle beneath the surface is also 1.70 cm since it is embedded within the cube.
The phrase "appears to be" suggests that the observation of the beetle's position within the plastic is deceiving. The beetle is not deeper or closer to the surface than the given measurement. Therefore, the beetle's true depth beneath the surface is equivalent to the stated distance of 1.70 cm.
Distances and interpreting spatial relationships within objects like the embedded beetle.
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wo lamps, one with a thick filament and one with a thin filament of the same material, are connected in parallel to a battery. The current is larger in the lamp with the:_______ a) thick filament b) thin filament c) current is the same for both
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The current is larger in the lamp with the thick filament. The thick filaments exist composed of myosin with the globular heads comprising cross-bridges with thin filaments.
Therefore, the correct answer is option a) thick filament.
What is Ohm's law?According to Ohm's law, the current flowing through a conductor between two points exists directly proportional to the voltage across the two points.
V = IR
Where V exists voltage
I exist current
R exists resistance.
I = V/R from this relation we can see that the current exists inversely proportional to Resistance. This implies if Resistance increases current decreases or vice versa. But R exists dependent on length, and area. So Thick filament contains more area so the Current will flow thicker as compared to the Thin filament because resistance exists inversely proportional to the area.
Therefore, the correct answer is option a) thick filament.
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A cylinder with a moving piston expands from an initial volume of 0.300 L against an external pressure of 1.10 atm . The expansion does 261 J of work on the surroundings. What is the final volume of the cylinder
Answers
The cylinder's final volume is 0.454 L.
The formula: gives the system's work output.
\(w = -PΔV\)
where w is the amount of work completed, P is the outside pressure, and V is the volume change. We can rewrite the formula as: since the system's work is positive (expansion).
\(ΔV = -w/P\)
When we enter the provided values, we obtain:
\(V = -261 J/1.10 atm x 0.1013 J/L atm = 0.235 L.\)
As a result, the cylinder's final capacity is:
\(V_final = V_initial + V = 0.300 L plus 0.235 L, equaling 0.454 L.\)
As a result, the cylinder's final volume is 0.454 L.
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if the sound source is moving then the pitch of the sound will ______to the observer.
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Does the transmission of electric energy require electrical conductors between the source and receiver? Cite an example to defend your answer.
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No, electrical conductors are not necessary for the electrical transmission between the recipient and the source. Through a vacuum, sunlight carries electromagnetic energy to Earth.
What is meant by the transmission of electric energy?
Electrical transmission refers to the process of transferring produced power to the transmission network situated in populous regions, typically across large distances. Transformers, which raise voltage levels to enable long-distance transmission, is a crucial component of this process.Electric power can be transported primarily via one of two systems: the electrical transmission method for high voltage DC electrical transmission method for high AC.Therefore it is concluded that theelectrical transmission does not need any conductor.
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When laser light of wavelength 633.2 nm passes through a diffraction grating, the first bright spots occur at ±18.6º from the central maximum.
A. What is the line density (in lines/cm) of this grating?
B. How many additionals pares of bright spots are there beyond the first bright spots?
C. At what angles do the second bright spots occur?
D. At what angles do the third bright spots occur?
Answers
A diffraction grating produces bright spots when laser light passes through it. For a laser with a wavelength of 633.2 nm, the first bright spots occur at ±18.6º from the central maximum.
To find the line density of the grating, we use the formula: line density = 1 / (d * sinθ), where d is the distance between the lines and θ is the angle. The number of additional pairs of bright spots beyond the first spots depends on the line density.
The second bright spots occur at angles greater than ±18.6º, and the third bright spots occur at even greater angles.
A. To determine the line density of the grating, we can use the formula for the diffraction grating equation: line density (in lines/cm) = 1 / (d * sinθ), where d is the distance between the lines and θ is the angle.
In this case, we are given that the first bright spots occur at ±18.6º. Plugging in these values, we can calculate the line density. Using the formula, we find: line density = 1 / (d * sin(18.6º)).
B. The number of additional pairs of bright spots beyond the first spots depends on the line density of the grating. Each additional pair corresponds to a higher order of diffraction.
The formula for the number of bright spots is given by: N = (2 * d * sinθ) / λ, where N is the order, d is the line density, θ is the angle, and λ is the wavelength of the light. By substituting the known values, we can calculate the number of additional pairs of bright spots.
C. The second bright spots occur at angles greater than ±18.6º. Using the formula for the diffraction grating equation, we can plug in the order (2 for the second bright spot) and calculate the corresponding angles.
D. Similarly, the third bright spots occur at even greater angles. Using the formula for the diffraction grating equation and substituting the order (3 for the third bright spot), we can calculate the corresponding angles.
It's important to note that the calculation of the line density and the angles of the bright spots assumes ideal conditions and does not account for factors such as the finite width of the laser beam or the imperfections in the diffraction grating.
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What net force would be necessary to cause a block of wood with a mass of 2.5 kg to accelerate at a rate of 3.0 m/s2
Answers
Answer:
7.5 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question
mass = 2.5 kg
acceleration = 3.0 m/s²
We have
force = 2.5 × 3.0 = 7.5
We have the final answer as
7.5 NHope this helps you
Which of the following is true concerning hurricanes?
a. They tend to deposit more sediment than they remove.
b. Their storm surges cause widespread flooding.
c. They have fast, but generally weak wind gusts.
d. They do not alter landscapes significantly.
Answers
Answer:
B.
Explanation:
B. is correct because every time usually when a hurricane hits it causes flooding causing multiple homes to be ruined. It is a known fact that usually hurricanes start close or in along with tornadoes, the water, meaning once they hit land they have some water to flood that land with.
C. is absolutely false hurricanes have VERY strong wind gusts.
D. is absolutely wrong they do alter landscapes by ripping trees and plants and houses out of the ground making the landscapes look different.
A. is wrong they tend to deposit and remove sediment evenly.
~ LadyBrain
Answer:
B
Explanation:
The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.68 m and 1.01 m, respectively. The respective rotational speeds are 455 rev/min and 4,150 rev/min.
Calculate the speeds of the tips of both rotors.
Compare these speeds with the speed of sound, 343 m/s.
Answers
The speed of the tip of the tail rotor (25.7 m/s) is less than the speed of sound (343 m/s).
What is speed?Speed is a measure of how quickly an object moves or changes its position over a given period of time. It is usually measured in metres per second (m/s) or kilometres per hour (km/h). Speed is a scalar quantity, meaning it has magnitude but not direction. Speed is usually calculated by dividing the distance travelled by the time it takes to travel that distance.
The speed of the tip of the main rotor is equal to the circumference of the rotor (2πR) multiplied by the rotational speed (ω):
Main rotor tip speed = 2π × 7.68 m × 455 rev/min = 164.3 m/s
The speed of the tip of the tail rotor is equal to the circumference of the rotor (2πR) multiplied by the rotational speed (ω):
Tail rotor tip speed = 2π × 1.01 m × 4,150 rev/min = 25.7 m/s
The speed of the tip of the main rotor (164.3 m/s) is greater than the speed of sound (343 m/s). However, the speed of the tip of the tail rotor (25.7 m/s) is less than the speed of sound (343 m/s).
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Which of the following types of current supplies the x-ray tube?
A. Alternating current
B. Direct current
C. Pulsating direct current
D. Saturated current
Answers
The type of current that supplies the x-ray tube is a pulsating direct current. This type of current is generated by an electronic device called an x-ray generator, which converts alternating current (AC) into a high-voltage direct current (DC). Option(c)
The DC current is then transformed into a pulsating DC current, which is used to power the x-ray tube. The pulsating direct current is important because it allows the x-ray tube to produce high-energy radiation in short bursts, known as x-ray pulses. This is necessary because prolonged exposure to high-energy radiation can be harmful to patients and medical personnel. By pulsing the current, the x-ray machine can control the amount of radiation produced and limit the exposure time, ensuring that the patient receives only the necessary amount of radiation. In contrast, direct current (DC) and alternating current (AC) are not suitable for powering the x-ray tube. DC current produces a constant stream of radiation, which can be dangerous if not properly controlled, while AC current fluctuates rapidly and is unsuitable for producing x-rays. Overall, pulsating direct current is the preferred type of current for x-ray imaging due to its ability to produce controlled bursts of radiation. Option(c)
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A 1994 Ford Mustang is driving down a road with a constant speed of 30 31/5, The engine must
exert a 5000 N force to maintain this speed,
a, What is the power rating of the engine?
Answers
The power rating of the engine is 150000 W.
What is power?Power can be defined as the rate at which energy is used or consumed by a body.
To calculate the power of the engine, we use the formula below.
Formula:
P = FV............. Equation 1Where:
P = Power of rating of the engineF = Force of the engineV = Velocity of the engine.From the question,
Given:
F = 5000 NV = 30 m/s.Substitute these values into equation 1
P = 5000×30P = 150000 W.Hence, The power rating of the engine is 150000 W.
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Anything that takes up space and has mass is called?
Answers
Anything that has mass and takes up volume or space is considered to be matter. Everything around you, including solids, liquids, & gases, is made up of this.
How would you define mass?It is the most fundamental characteristic of matter and one of the basic physical quantities. The amount of material in a body is measured by its mass. Kilogram is the SI-defined mass unit (kg). It should be noted that a body's mass never changes.
Is mass a weight, or kg?Although weight is typically expressed in kilograms, it should actually be evaluated in newtons, which are the units for force. Mass is determined in kilograms. A measure of an object's inertia, or propensity to resist altering its motion state is its mass.
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