The displacement from the midpoint of the motion at which the speed is equal to half of the maximum speed is 1.85 cm.
v = Aω√(1 - (x/A)^2)
v_max = Aω
v = 1/2 v_max = 1/2 Aω
Substituting the given values, we get:
1/2 Aω = 3.08 cm * ω * √(1 - (x/A)^2)
Simplifying and squaring both sides, we get:
(1/4) A^2 ω^2 = 9.4864 cm^2 * (1 - (x/A)^2)
Solving for x/A, we get:
x/A = √(1 - (1/4)(ω^2/A^2) * 9.4864)
x/A = √(1 - (π^2/400))
x/A = 0.6
The displacement from the midpoint of the motion at which the speed is equal to half of the maximum speed is:
x = 0.6 * 3.08 cm = 1.85 cm
Harmonic motion is a type of periodic motion in which an object oscillates back and forth around an equilibrium position with a constant frequency and amplitude. It is characterized by a sinusoidal pattern, where the displacement of the object from its equilibrium position is directly proportional to the sine or cosine of the time elapsed since the motion began.
In harmonic motion, the restoring force acting on the object is proportional to its displacement from the equilibrium position, and the object's motion is governed by Hooke's Law. Examples of harmonic motion include the motion of a mass-spring system, the motion of a simple pendulum, and the vibration of a guitar string.
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A model shows a machine that works using electrical fields. What would this machine
need for the electrical field to function properly? (1 point)
A. at least two charged, interacting parts
B. all neutral components
C. Moving parts, for kinetic energy
D. springs, to store potential energy
Answer:
c
Explanation:
Another pitcher throws the same baseball in a straight line. Its momentum is 2.1 kg times m/sec. What is the velocity of the ball?
v=p/m
v=2.1 kg x m/s
0.14 kg
v=15 m/s
Determine how much gravitational potential energy a 0.5 kg ball has if it is lifted
to a height of 2 m above Earth's surface.
Answer:
PE = 9.8 J
Explanation:
PE = mgh
PE = (0.5 kg) x (9.8 m/s^2) x (2 m)
PE = 9.8 J
An object of mass 80kg was placed in a lift ascending at 1.25ms * -2. Calculate its weight in the lift. [g=10ms]
The apparent weight of the object in the lift is 900 N.
What is meant by apparent weight in an elevator ?When a man is travelling in an elevator, his weight appears to change. His changed weight is known as apparent weight.
Here,
The elevator is ascending. So the apparent weight,
R = mg + ma
R = m(g + a)
R = 80(10 + 1.25) = 80x 11.25
R = 900 N
Hence,
The apparent weight in the lift is 900 N.
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Calculate the KE in joules of a 1500 kg car moving at 29 m/s?
Answer:
x J = (1500 kg)(29 m/s)(y m/s)
Explanation:
x J = (1500 kg)(29 m/s)(y m/s)
To know that a 1500 kg car is moving at 29 m/s is not enough.
The value of x depends on y. You’re missing a number of meters and a quantity of ‘per seconds’ somewhere in your problem statement and you need to find them in order to solve the problem
A 500-lb. pile driver is raised to a height of 12 feet, then dropped.
____ ft-lbs of work is done on the pile driver in raising it.
The increase in the pile driver's potential energy is
____ ft-lbs.
What is the maximum kinetic energy the pile driver will have after it is released is
______ ft-lbs.
Answer:
1 = The answers are 6, 60, 600, or 6
Explanation:
Does a bike have mechanical advantage that is greater than 1, equal to 1, or less than 1?
Therefore, if MA is less than 1, output velocity would increase while input torque would decrease.
What is the greatest mechanical benefit?The best performance that can be achieved is the mechanical advantage, which is calculated under the presumption that a machine does not lose power through deflection, friction, and wear. Because of this, it is frequently referred to as the ideal mechanical advantage (IMA).
What machine has a mechanical advantage that is less than one?A machine may not always have a greater mechanical advantage than one. This means that a person must exert more force than the machine can support. Machines like class three levers are an example of this. A class three lever can only move so much when a person presses on it.
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What is the frequency of a wave that has a speed of 240 m/s and a wavelength of 0.20 m?
Answer:
Frequency of the wave = 1200 HertzExplanation:
Given :-
Wavelength = 0.20 m Wave speed = 240 m/sSolution :-
Frequency of a wave is given by :
[tex]\sf F = \dfrac{v}{\lambda} [/tex]where,
F is frequency,v is wavespeed ,[tex]\sf\lambda[/tex] is wavelengthOn substituting the values we get :
[tex]\dashrightarrow \sf F = \dfrac{240}{0.20} \\ \\ \dashrightarrow \rm F = 1200 \: Hz \\[/tex]
Hence, Frequency of the wave is 1200 HertzPlease help! Will give brainliest!
An ideal gas expands in an adiabatic process that increases its volume by a factor of 3. 5. The initial pressure is 6. 4 × 10^5 Pa. What is the final pressure? Let γ = 1. 57.
9. 0 × 104 Pa
1. 2 × 104 Pa
6. 4 × 104 Pa
8. 9 × 105 Pa
1. 1 × 105 Pa
An ideal gas expands in an adiabatic process that increases its volume by a factor of 3. 5. The initial pressure is 6. 4 × 10^5 Pa. The final pressure is 8.9 × 10^5 Pa.
In thermodynamics, an adiabatic process is a type of thermodynamic process that occurs without transferring heat or mass between the thermodynamic system and its environment. Unlike an isothermal process, an adiabatic process transfers energy to the surroundings only as work.An adiabatic process is defined as a process in which no heat transfer takes place. This does not mean that the temperature is constant, but rather that no heat is transferred into or out from the system.adiabatic process, in thermodynamics, change occurring within a system as a result of transfer of energy to or from the system in the form of work only; i.e., no heat is transferred. A rapid expansion or contraction of a gas is very nearly adiabatic.
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Can someone help please
Answer:
D . All of the above
i hope you understand
b) Two rods: A and B, having same weight and equal length have different thickness.
Rod A is thinner while Rod B is thicker. They are held vertically on the surface of sand. Which one of them will sink more? Why?
Answer:
V ρ = W volume * weight density = weight
Since rod A will produce less resistance to sand it will sink more.
Emma created a table to describe the weather conditions in her area on a specific day. Which of the following descriptions correctly completes the table?
Precipitation Air Temperature
25 °C
Sunny
a
7 mm and 25 kg
b
24 mph and 5 mm
c
West and 20 mph
d
10 inches and 50%
Well to be honest i probably could answer this if I had the thing to look at to solve it but if not i saw try lucky C. although that doesn't seem like the answer to be honest, either A. or B. seem like reasonable answers to Since D. Does not make sense for this specific question stated, inches for Celsius? Seems a bit off. I say maybe 1. or b. But if your daring choose D. It is really up to you to decide, After all I really do not have anything to base this off of.
a watermelon suspended in the air at 20 m and has a potential energy of 1783.6 J calculate the mass of the water in kg to one decimal place
Answer:
9.1 kg
Explanation:
Potential energy of an object at a height of h meters and mass m is given by
PE = mgh Joules
where
m = mass of the object in kg
h = height in meters
g= gravitational acceleration constant = 9.81 m/s²
Given PE = 1783.6 J
h = 20 m
1783.6 = m x 9.81 x 20
1783.6 = 196.2 m
m = 1783.6 /196.2
= 9.09 kg
How much gravitational force exists between a 75.0 kg person and a 90.0 kg person who are standing 5.0 meters apart from one another?
A. 270N
B. 9.0 x 10 N
C. 1.8 × 10-N
The magnitude of the gravitational force that exists between the two persons would be 2.01 × 10^-7 N.
Gravitational forcesThe gravitational force between two objects can be calculated using the formula:
F = G(m1m2)/r^2
where F is the gravitational force, G is the gravitational constant (6.67 × 10^-11 Nm^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass.
Plugging in the values given, we get:
F = (6.67 × 10^-11 Nm^2/kg^2)(75.0 kg)(90.0 kg)/(5.0 m)^2
F = 2.01 × 10^-7 N
Therefore, the gravitational force between the two people is approximately 2.01 × 10^-7 N.
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Sergio is performing 30 joules of work by pushing an object 25 meters. How much force did he put on the object?
Sergio put a force of 1.2 newtons on the object to perform 30 joules of work by pushing it 25
What is force?
Force is a physical quantity that describes the interaction between two objects, causing a change in their motion. It is measured in units of newtons (N) and is defined as the product of an object's mass and acceleration, as described by Newton's second law of motion.
The force exerted by Sergio on the object can be calculated using the formula:
Work = Force × Distance × cos(theta)
where Work is the work done (in joules), Force is the force applied (in newtons), Distance is the distance moved (in meters), and cos(theta) is the cosine of the angle between the force and the direction of motion (assuming the force is applied parallel to the direction of motion, cos(theta) = 1).
Rearranging the formula, we get:
Force = Work / (Distance × cos(theta))
Substituting the given values, we get:
Force = 30 J / (25 m × cos(0°))
Since cos(0°) = 1, we can simplify the expression to:
Force = 30 J / 25 m
Force = 1.2 N
Therefore, Sergio put a force of 1.2 newtons on the object to perform 30 joules of work by pushing it 25
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An object is moving at a velocity of 11.5 m/s to the left. How far does it move in
312.24 seconds?
Answer:
[tex]\huge\boxed{\sf d = 3590.76\ m}[/tex]
Explanation:
Given data:Velocity = v = 11.5 m/s
Time = t = 312.24 s
Required:Displacement = d = ?
Formula:d = v × t
Solution:d = 11.5 × 312.24
d = 3590.76 m[tex]\rule[225]{225}{2}[/tex]
What is the rate law for the reaction a → b if the rate constant, k, is 0. 25 m⁻¹ s⁻¹ at 75 °c?
If the rate constant, k, for the reaction A + B is 0.25 M-1 s-1 at 75 °C, Which of the following claims is true in light of the rate law, rate = k[A]2[B] The rate law for a reaction is Rate = (1.25 M2s1)[A][B]2.
rate=k[A]m[B]n[C]p…
In which k is the rate constant, which is unique to a certain reaction at a specific temperature, and [A], [B], and [C] indicate the molar concentrations of reactants. M, N, and P are typically positive integer exponents (although it is possible for them to be fractions or negative numbers).
The rate of a reaction must be tracked experimentally when the reactant concentrations are varied in order to calculate the rate constant k and the exponents m, n, and p. The rate constant k varies with temperature and surface area but is independent of the concentration of A, B, or C.
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For a reaction, a → b, the rate law for the reaction is (0.25) [A] with the rate constant,k is 0.25 m⁻¹ s⁻¹.
What is rate law?The rate of the reaction defines the reactant concentration. It gives the relation between reactant and product. It gives the concentration of the reactant involved in the reaction.
The rate law is directly proportional to the rate constant of the reaction. The rate constant (k) gives the relation between the molar concentration of the reactant and the rate of the reaction.
The rate law is defined as, R= k [A]ᵃ[B]ᵇ, where R represents the rate law, k represents the rate constant, and [A], [B] represents the concentration of the reactant. a,b represents the order of reaction with respect to A and B.
From the given,
The rate law,
R= k [A]
= 0.25 [A]
Thus, the rate law of the reaction is 0.25[A].
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Using a digital voltmeter, you measure the voltage of a 9 Volt battery to be 23.1244 Volts. Discuss both the accuracy and precision of this measurement.
A Digital Voltmeter is used to measure AC or DC voltage consumed with the aid of an equipment and for displaying the cost directly in numeric shape as an alternative of the usage of a pointer deflection. It is thus, a voltage-sensitive device.
What is a digital voltmeter?Image end result for digital voltmeter,
A digital voltmeter (DVM) measures an unknown enter voltage through converting the voltage to a digital value and then shows the voltage in numeric form. DVMs are usually designed around a distinct kind of analogue-to-digital converter known as an integrating converter.
What is the importance of digital voltmeter?Advantages of electronic voltmeter:
Digital display of the output eliminates human reading errors. Readings are accurate and fast in contrast to analog meters. Digital Voltmeter is more steady and reliable. Smaller in dimension and cost-effective.
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The right hand rule states that you should always hold a compass in your right
hand.
False. The rule does not necessarily involve holding a compass in your right-hand.
The right-hand ruleThe right-hand rule is a general principle used in physics and engineering to determine the direction of various vectors.
There are different variations of the right-hand rule, but the basic idea is to use your right hand to orient your fingers or thumb in a particular direction to determine the direction of a magnetic field, force, or other vector quantity.
Thus, the rule does not necessarily involve holding a compass in your right hand.
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Determine if the following statement is true or false. The right-hand rule states that you should always hold a compass in your right hand.
Which data set, a or b , is for the uniform line of charge and which set is for the uniformly charged sphere? select the correct answer and explanation
Data set A corresponds to the uniform line of charge and data set B corresponds to the uniformly charged sphere ar e correct . So, option A is the correct answer.
Data set A corresponds to the uniform line of charge because it shows a linear relationship between the electric field strength and the distance from the center of the object. This is characteristic of a uniform line of charge, where the electric field strength is directly proportional to the distance from the center of the line.
Data set B corresponds to the uniformly charged sphere because it shows a non-linear relationship between the electric field strength and the distance from the center of the object. This is characteristic of a uniformly charged sphere, where the electric field strength decreases as the distance from the center of the sphere increases.
Therefore, as per the above explanaions, option A is correct.
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The question is :
Which of the following options correctly identifies which data set corresponds to the uniform line of charge and which one corresponds to the uniformly charged sphere, and provides an explanation for the answer?
A) Data set A corresponds to the uniform line of charge because it shows a linear relationship between the electric field strength and the distance from the center of the object, while data set B corresponds to the uniformly charged sphere because it shows a non-linear relationship between the electric field strength and the distance from the center of the object.
B) Data set A corresponds to the uniformly charged sphere because it shows a non-linear relationship between the electric field strength and the distance from the center of the object, while data set B corresponds to the uniform line of charge because it shows a linear relationship between the electric field strength and the distance from the center of the object.
C) Both data sets correspond to the uniformly charged sphere because they both show a non-linear relationship between the electric field strength and the distance from the center of the object.
D) Both data sets correspond to the uniform line of charge because they both show a linear relationship between the electric field strength and the distance from the center of the object.
It takes Ann 3 minutes to run 800 meters without sandbags. If Ann runs 800 metes with sandbags it will take 2 more minutes. Whats the speed for running with sandbags
According to question, If Ann runs 800 metes with sandbags it will take 2 more minutes then Ann's speed for running with sandbags is 160 meters per minute.
What is a speed?A scalar quantity, speed is defined as the size of the change in an object's location over time or the size of the change in the position of an object per unit of time.
Use formula
speed = distance / time
speed without sandbags = 800 meters / 3 min.
speed without sandbags = 266.67 meters per min.
Now, let's find Ann's time to run 800 meters with sandbags:
time with sandbags = 3 minutes + 2 minutes = 5 minutes
speed with sandbags = 800 meters / 5 minutes
speed with sandbags = 160 meters per minute
Therefore, Ann's speed for running with sandbags is 160 meters per minute.
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help please I don't understand
The force line which shows the force of gravity that the Earth exerts on the Moon is line A.
The reason Line A is thicker than arrow B is because the Earth exerts a greater force of gravity on the Moon.
How to describe the gravity exerted ?According to Newton's Third Law of Motion, for every action, there is an equal and opposite reaction. Therefore, the gravitational force exerted by the Earth on the moon is equal in magnitude and opposite in direction to the gravitational force exerted by the moon on the Earth.
The force of gravity between two objects depends on their masses and the distance between them, so the force of gravity between the Earth and moon is proportional to their masses and the distance between them. While the moon's gravity does have an impact on the Earth, such as causing ocean tides, it is not a greater force than the Earth's gravity.
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Can you please help me with this question?
The impedance is 17587 ohm
The current is 0.00085 A
What is the impedance?Impedance is a measure of the opposition that an electrical circuit or component offers to the flow of an alternating current (AC) at a specific frequency. It is similar to resistance, which is the opposition offered to the flow of a direct current (DC). However, impedance takes into account not only the resistance but also the capacitance and inductance of the circuit or component.
The Capacitive reactance is;
1/2πfC
= 1/2 * 3.142 * 500 * 0.022 * 10^-6
= 14467 ohms
Then the impedance is;
Z = √(10000)^2 + (14467 )^2
Z = 17587 ohm
The current = Vrms/Z
= 15 V/ 17587 ohm
= 0.00085 A
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When two materials that are in contact have the same temperature, the materials are said to be in thermal
When two materials that are in contact have the same temperature, the materials are said to be in thermal equilibrium.
Thermal equilibrium is a state in which there is no net flow of heat between two objects in contact. In this state, the temperature of the objects does not change over time, as there is no temperature gradient between them. This is a fundamental principle of thermodynamics, and it is the basis for the design and operation of many thermal systems.
The concept of thermal equilibrium is also important in fields such as materials science, engineering, and physics, where it is used to describe the behavior of materials and their interactions with the environment.
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--The complete question is, When two materials that are in contact have the same temperature, the materials are said to be in ______.--
A 2 kg cue ball is moving at a velocity of 2 m/s when it collides with another 3 kg billiard ball at rest.
What is the total momentum of the system?
A 2 kg cue ball is moving at a velocity of 2 m/s when it collides with another 3 kg billiard ball at rest. The total momentum is 4 kg m/ s.
Elaborating the problem:
Before the collision, the momentum of the 2 kg cue ball is:
p₁ = m₁ × v₁
p₁ = 4 kg m/s
The 3 kg billiard ball is at rest, so its momentum is: p₂ = 0 kg m/s
The total momentum of the system before the collision is:
p_total = p₁ + p₂
p_total = 4 kg m/s
The total momentum of the system after the collision is:
p_total = M × [tex]V_{f}[/tex]
p_total = p₁ + p₂
M × [tex]V_{f}[/tex] = p₁ + p₂
5 kg × [tex]V_{f}[/tex] = 4 kg m/s + 0 kg m/s
5 kg * [tex]V_{f}[/tex] = 4 kg m/s
Therefore, [tex]V_{f}[/tex] = 0.8 m/s
So, the total momentum of the system is:
p_total = M × [tex]V_{f}[/tex]
p_total = 5 kg × 0.8 m/s
p_total = 4 kg m/s
What is any system's total momentum?
A system's total momentum is the sum of the momentum of all its components. To put it another way, it is the total amount of motion experienced by the system's objects. The total momentum of an isolated system remains constant when there are no external forces acting on it, as stated by the law of conservation of momentum.
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Two inflated balloons are of identical size and shape, but one is filled with hydrogen, the other helium. Which has the larger buoyant force on it?
Buoyancy is the upward force wielded on an object that's wholly or incompletely immersed in a liquid. Also, the buoyancy forces of the two balloons don't have to be the same
Buoyancy doesn't depend on the substance present in the body. thus, both balloons will witness the same lift forces.
balloons float because the air pushes them. But the air does not know what is in the ball.
presses on everything unevenly, so the buoyant force is the same for all balloons of the same size. where ρ is the thickness of the air, g is the acceleration due to graveness, and V is the volume of the balloon.
Buoyancy or buoyancy is the upward force wielded by a liquid opposing the weight of a incompletely or completely submerged object. In a column of liquid, the pressure increases with depth due to the weight of the liquid over.
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Which of the following accurately describes the energy stored on a parallel plate capacitor?A) The energy is inversely proportional to the charge stored on the capacitor.
B) The energy is directly proportional to the potential across the capacitor.
C) The energy is directly proportional to the capacitance of the capacitor.
F) The energy in proportional to the square the charge stored on the capacitor.
The energy is directly proportional to the capacitance of the capacitor, accurately describes the energy stored on a parallel plate capacitor.
What is capacitor?
A capacitor is an electronic component that stores electrical energy in an electric field. It consists of two conductive plates separated by an insulating material known as a dielectric. When a voltage is applied across the plates, it creates an electric field between them, which causes opposite charges to accumulate on the plates. The amount of charge that a capacitor can store is determined by its capacitance, which is a measure of the capacitor's ability to store charge for a given voltage. Capacitors are used in a variety of electronic circuits to filter out unwanted frequencies, smooth out power supplies, and store electrical energy for later use. They come in many different sizes and shapes, including ceramic, electrolytic, and tantalum capacitors.C) The energy is directly proportional to the capacitance of the capacitor.
The energy stored on a parallel plate capacitor is given by the formula:
E = 1/2 * C * V^2
where E is the energy stored, C is the capacitance of the capacitor, and V is the potential difference across the capacitor.
This formula shows that the energy stored on a parallel plate capacitor is directly proportional to the capacitance of the capacitor. Therefore, option C accurately describes the energy stored on a parallel plate capacitor.
Option A is incorrect because the energy stored is directly proportional to the potential difference across the capacitor, not inversely proportional to the charge stored.
Option B is incorrect because although the energy stored is related to the potential difference across the capacitor, it is not directly proportional to it.
Option F is also incorrect because the energy stored is proportional to the square of the potential difference across the capacitor, not the square of the charge stored.
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A wheel rolls a distance of 24 meters and rotates through an angle of 12 radians. What is the radius of the wheel?
A circular wheel has a radius of 24 cm, a diameter of 48 cm, and a circumference of 3.14159 cm, or 150.8 cm, rounded to the nearest centimeter.
What exactly are circumference and diameter?Definition. The circumference of a circle is the length measured around its edge. The diameter of a circle is the distance from the center to the outside. The radius of a circle is the distance between any two points on its edge.
Does diameter include radius?A ring's diameter is equal to half of its diameter, or vice versa, meaning that the diameter of a circle is twice as long as the radius.
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A vehicle is travelling up a ramp that follows the curve y=0. 6x2 where x and y are in [m]. As the vehicle moves through point (Om, O m) where s = 0 m, it has a speed of Vo = 13. 6 [m/s]. The vehicle then increases its speed at a rate i = 0. 078 [m/s2). Determine the vehicle's speed and total acceleration magnitude when the vehicle's position along the path is s = 4. 7105 [m], at which instant i = 2. 5 [m]. V= number (rtol=0. 02, atol=0. 02) a m/s 2 m/s? a = number (rtol=0. 02, atol=0. 02)
The vehicle's speed at s = 4.7105 m is approximately 13.77 m/s (to two significant figures), and the magnitude of its total acceleration is approximately 4.50 m/s^2 (to two significant figures).
A vehicle is moving up a ramp that follows the curve y=0.6x^2. At the start, the vehicle has a speed of 13.6m/s and it increases its speed at a rate of 0.078m/s^2. When it reaches s=4.7105m, the vehicle's speed is 13.77m/s, and the magnitude of its total acceleration is 4.50m/s^2.
These values were calculated using the equations of motion for motion with constant acceleration. The horizontal component of the acceleration is 4.492m/s^2 and the vertical component is 0.078m/s^2.
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In a gas experiment, the pressure of the gas is plotted against the reciprocal of the volume of the gas at a constant temperature.
The experiment would have the graph of the Boyle's law. The slope is work (N/m). Option C
What is the graph of Boyles law?Boyle's law is a gas law that describes the relationship between the pressure and volume of a gas at a constant temperature. The law states that the pressure of a gas is inversely proportional to its volume, or P ∝ 1/V, where P is the pressure and V is the volume.
The graph of Boyle's law can be used to predict the behavior of gases under different conditions, such as changes in temperature or the addition of other gases.
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Missing parts;
In a gas experiment, the pressure of the gas is plotted against the reciprocal of the volume of the gas at a constant temperature. the unit of the slope of the resulting curve is
A.
force
B.
force/m
C.
work
D.
force/m
3
E.
energy/m