The total angular momentum of the system about point B is [tex]L=m_1r_1\omega_1+m_2r_2\omega_2[/tex]
Angular momentum, also known as moment of momentum or rotational momentum, is the rotating counterpart of linear momentum.
A rigid object's angular momentum is defined as the product of its moment of inertia and its angular velocity. If there is no external torque on the object, it is analogous to linear momentum and is subject to the fundamental constraints of the conservation of angular momentum principle. The vector quantity angular momentum It is derived from the expression for a particle's angular momentum.
Given,
mass of ball 1 = m1
m₂ mass of ball 2=m2
v₁ is the velocity of ball=r₁ω₁
v₂ is the velocity of ball 2=r₂ω₂
The total angular momentum is given as;
[tex]V_{total}=r_1\omega_1+r_2\omega_2\\\\L=m_1r_1\omega_1+m_2r_2\omega_2[/tex]
Hence the total angular momentum will be [tex]L=m_1r_1\omega_1+m_2r_2\omega_2[/tex]
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derive an equation for the tension string connected to the two blocks in terms of ; any physical constants
The force communicated through a rope, string, or wire when two opposing forces draw on it is known as tension.
How do we measure tension?
When a body is suspended from items like chains, cables, strings, etc., tension is simply the drawing force at work on the body. T is used to signify it (occasionally also symbolised as Ft).
Tension formula is articulated as
T=mg+ma
Where,
T= tension (N or kg-m/s2)
g = acceleration due to gravity (9.8 m/s2)
m =Mass of the body
a = Acceleration of the moving body
For mass m, the forces are given as
T−mg=ma ...... (1)
Similarly, for mass M, the forces are given as
Mg−T=Ma ...... (2)
From equation (1), we have
T=mg+ma
Substituting equation (3) in (2) we get
Mg−mg−ma=Ma
g(M−m)=a(M+m)
a=( M+m / M−m )g
T=m×( M+m / M−m )g+mg
T = g( Mm - m² + m² + Mm / M + m) = g( 2Mm / M+m )
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car b is stopped at a light when car a crashes into it moving with speed v. if the coefficient of restitution is 0, find the speeds of the two cars at the end of the impact in terms of p and v.
Both the cars A as well as car b has zero speed after the impact.
Car b is stopped at the light when car a is crashes into it which is moving with a speed V the coefficient of restitution is given to be zero.
Because the coefficient of restitution is zero it means that the collision is perfectly inelastic in nature.
So, if the car a was moving with a speed v.
As it is already mentioned that after the collision ka bi has come to rest Swasthya the impact the speed of car b is new and because the collision is perfectly inelastic the speed of car a will also be zero.
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What are the indicators of motion in relation to a reference point?; What are the terms used in describing the motion?; How do you described the motion of the object?; What is describing motion and give example?; Why is it important to identify a reference point for any description of motion?; What describes the rate of motion and the direction?
Indicators of motion in relation to a reference point include distance, displacement, speed, velocity, acceleration, and deceleration.
The terms used in describing motion include linear motion, angular motion, rotational motion, and oscillatory motion.
To describe the motion of an object, one would use words such as move, accelerate, decelerate, rotate, and vibrate.
Describing motion is the process of quantifying changes in position, direction, and velocity over time. For example, when a ball is thrown, one can describe its motion by noting its initial position, the direction of its throw, and how fast it is moving.
It is important to identify a reference point for any description of motion because it provides context for the motion. Without a reference point, it would be impossible to accurately quantify motion.
Speed and velocity describe the rate of motion, and direction describes the orientation of motion.
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A 2.0 kg block sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 200 N/m) which has its other end fixed. If the block has a speed of 4.0 m/s as it passes through the equilibrium position,
The speed of the block when it is 10 cm from the equilibrium position is 3.87 m/s.
We need to apply the concept of conservation of energy. The conservation of the initial kinetic energy, the final kinetic energy, and the elastic potential energy must be applied in this situation. Mathematically this can be expressed as,
KE i = KE f + PE f
1/2* m* vi² = 1/2* m* vf² + 1/2* k * x²
where,
m is mass
vi is initial velocity
vf is final velocity
k is spring constant
x is displacement
Given that, m = 2 kg
k = 200 N/m
x = 10 cm = 0.1 m
vi = 4 m/s
Placing them in the above equation, we have
1/2* 2* 4² = 1/2* 2* vf² + 1/2* 200* 0.1²
16 - 1 = vf²
vf² = 15
vf = 3.87 m/s
Thus, the speed of the block when it is 10 cm from the equilibrium position is 3.87 m/s.
The question is incomplete. the complete question is 'what is its speed when it is a distance of 10 cm from the equilibrium position?'
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A long straight wire carrying current I is moving with speed v toward a small circular coil of radius r containing N turns, which is attached to a voltmeter as shown. The long wire is in the plane of the coil. (Only a small portion of the wire is shown in the diagram.) The radius of the coil is 0.02 m, and the coil has 11 turns. At a particular instant I = 3 amperes, v = 3.3 meters per second, and the distance from the wire to the center of the coil x = 0.17 m. (a) What is the magnitude of the rate of change of the magnetic field inside the coil? You will need to calculate this algebraically before you can get a number. Write an expression for the magnetic field due to the wire at the location of the coil. Use the approximate formula, since the wire is very long. Remember the chain rule, and remember that v = dx/dt. dB/dt = T/S (b) What is the magnitude of the voltmeter reading? Remember that this includes all 11 turns of the coil. volts
The magnitude of the rate of change of the magnetic field inside the coil 9.57*10^-5 T /s, voltmeter reading is 1.386*10^-6 V
Given that radius of the coil is r = 0.02m
Number of turns in the coil is N = 11
current in the coil is I = 3.0A
velocity is v = 3.3 m/s
distance from the wire to the center of the coil is x = 0.17m
db. / dt. = B. v / x
B = 2(μ_0 N i / )3πx
= 2 * 4π*10^-7 * 11 * 3.0A / 4π*0.17m
= 5.12*10^-6 T
dB / dt = 5.12*10^-6 * 3.3m/s / 0.17 m
= 9.57*10^-5 T /s
b ) voltmeter reading is V = n A dB / dt
= 11*π ( 0.02)^2 * 9.57*10^-5 T/s
= 1.386*10^-6 V
An electro magnetic field, often known as an EM field or EMF, is a non-quantum (classical) field created by accelerating electric charges. [1] The classical equivalent of the quantum electrodynamics' quantized electromagnetic field tensor, it is the field that classical electrodynamics describes. Charges and currents are affected by the electromagnetic field, which interacts with them and moves at the speed of light (in fact, this field can be compared to light). One of the four basic forces of nature is its quantum counterpart (the others are gravitation, weak interaction and strong interaction.)
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what is the only force that can act on an object in free fall? gravity friction air resistance speed; increasing which factor will cause the gravitational force between two objects to decrease?; what determines the strength of the gravitational force of an object in space; what are the units of mass and weight; which factors affect the gravitational force between two objects select all that apply; if siobhan hits a 0.25 kg volleyball with 0.5 n of force, what is the acceleration of the ball? m/s2; what is the weight, on earth, of a book with a mass of 1.5 kg? 1.5 n 6.5 n 11.3 n 14.7 n
In Newtonian physics, free fall refers to any motion of a body in which gravity is the only force acting on it.
What are the forces at work on a falling object?
In addition, gravity is pulling something down as it falls. The force of gravity is an unbalanced force at the beginning of the fall. As a result, the object accelerates or picks up speed. It runs into aerodynamic drag or air resistance as it accelerates.
What is the force responsible for an object falling to the ground?
All objects on Earth experience weight, or a gravitational pull that is proportional to their mass and is imposed by the planet's mass. Gravity is measured by the acceleration that it gives to freely falling objects. At Earth's surface the acceleration of gravity is about 9.8 metres (32 feet) per second per second.
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a system of volume v and temperature t consists of n independent, distinguishable particles, each of which can be in one of two states, with energy equal to 0 or e respectively. determine the partition function of the system
The partition function of a system of particles is a statistical measure that describes the distribution of particles over different energy states.
It is defined as:
Z = Σexp(-E_i/kT)
where Z is the partition function, E_i is the energy of the i-th particle, k is the Boltzmann constant, and T is the temperature of the system. The sum is taken over all possible energy states of the particles.
In the case of a system of volume v and temperature t consisting of n independent, distinguishable particles, each of which can be in one of two states with energy equal to 0 or e, the partition function can be expressed as:
Z = exp(-0/kT) + exp(-e/kT)
This is because there are two possible energy states for each particle (0 or e), and the partition function is a sum over all possible energy states of the particles.
Substituting the values of k, T, and e into the partition function equation, we can compute the value of Z:
Z = exp(-0/kT) + exp(-e/kT)
= exp(0) + exp(-e/kT)
= 1 + exp(-e/kT)
Thus, the partition function of the system is given by the equation:
Z = 1 + exp(-e/kT)
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What is the distance between Earth and sun if light travels at 300000 km/s and takes 8 mins to reach Earth?; How long can light travel in 300000 km?; Does light travel 300000 km per second?; What is the distance of the sun from the Earth * 7 light minutes 8 light minutes 9 light minutes 10 light minutes?
On average, the Sun is located around 93,000,000 miles (150 million kilometers) from Earth. It is so far away that it takes roughly 8 minutes for the Sun's light, which is moving at a speed of 186,000 miles per second (300,000 kilometers per second), to reach us.
If sunlight needs 8.3 minutes to reach Earth, how far away is Earth from the Sun?The Sun is only 8.3 light minutes away from Earth, or 1.5781e-5 light years, since light travels from the photosphere of the Sun to the Earth in only 8.3 minutes.
In 300000 kilometers, how far can light travel?The distance light travels in a year is measured in light-years. Light travels 5.88 trillion miles and 186,000 miles per second through interstellar space.
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Scientists have been able to develop a nuclear fusion plant to generate energy.
True or False
Answer: true
Explanation:
A sailor strikes the side of his ship just below the waterline. He hears the
echo of the sound reflected from the ocean floor directly below 2.02 s later
How deep is the ocean at this point? (Speed of sound in water=1500m/s)
At this location, the ocean lies 1515 meters deep.
What does "sound" mean in physics?Particles that are vibrating make up sound waves. These collide with other particles, causing them tp vibrate, which allows the sound to escape the source. Your ear drums vibrate as a result of air vibrations, which allows you to perceive sound. This vibration is transformed into messages, which proceed to your brain via a nerve.
Briefing:
Let the sound speed in sea water be 1500 m/s.
If he hears the echo 3.5s after the strike,
then the sound would have traveled a distance of:
1500 * 2.02 = 3030 m to the bottom and back.
This would mean the ocean is 3030 / 2 = 1515 m deep.
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Which phrase best defines momentum?
A. the change in velocity of an object over time
B. the amount of matter in an object
C. the distance traveled by and object over time
D. the motion of an object
Answer: the motion of an object
Explanation:
I just took the test
Answer:the motion of an object
Explanation:
I finished the sample work
The depth of snow after n hours of a snowstorm is
The depth of snow was 0.8 inches when the storm began and 2.5 inches after the first hour of the storm describes the sequence of numbers generated by the function.
A polynomial function exists as a function that examines only non-negative integer powers or only positive integer exponents of a variable in a formula like the quadratic equation, cubic equation, etc.
Given, depth of the snow after n hours of a snowstorm exists represented by the function f(n+1) = f(n) + 0.8 where, f(0) = 2.5
To find, which statement explains the sequence of numbers rendered by the function.
Given function f(n + 1) = f(n) + 0.8 where f(0) = 2.5
Hence, the depth of snow was 0.8 inches when the storm began and 2.5 inches after the first hour of the storm describes the sequence of numbers generated by the function.
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A roller coaster car may be approximated by a block of mass m
m
. The car, which starts from rest, is released at a height h
h
above the ground and slides along a frictionless track. The car encounters a loop of radius R
R
, as shown. Assume that the initial height h
h
is great enough so that the car never loses contact with the track.
At height h , potential energy of coaster car having mass m = mgh .
The car will lose potential energy and gain kinetic energy.
height lost by car when it is at the top of loop of radius R
= h - 2R
potential energy lost = mg ( h - 2R )
kinetic energy gained = mg ( h - 2R )
kinetic energy = 0 + mg ( h - 2R )
= mg ( h - 2R )
b )
For the car to remain in contact with the track , if v be the minimum velocity
centripetal force at top = mg
m v² / R = mg
v² = gR
kinetic energy = 1/2 mv²
= 1/2 m x gR
= mgR /
If h be the minimum height that can give this kinetic energy
mg ( h - 2R ) = mgR / 2
h - 2R = R / 2
h = 2.5 R
Therefore, the height of the roller coaster will be 2.5 R.
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Which of the following does not provide strong evidence for the Big Bang theory?
a) Observations of the cosmic microwave background
b) Observations of the amount of hydrogen in the universe
c) Observations of the amount of oxygen in the universe
d) Observations of the ratio of helium to hydrogen in the universe
b) Observations of the amount of hydrogen in the universe
The correct option is b) Observations of the amount of hydrogen in the universe.
What is big bang theory?
The Big Bang Theory is the most popular theory about how the cosmos came into being. Simply expressed, it claims the universe as we know it began with an unimaginably hot and dense single point that expanded and contracted over the course of the following 13.7 billion years, first at incomprehensible speeds and then at a more palpable rate, to the still-expanding cosmos that we know today.
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Please help with these MCQs.
1. Filter absorbs __________________.
- only primary coloured lights
- only secondary coloured lights
- only tertiary coloured lights
- all colors of white light
2. The light that has passed through a filter, is always ______________.
- dim
- bright
- sharp
- blur
1. Filter absorbs all colors of white light.
2. The light that has passed through a filter, is always dim.
Which colors are being absorbed by the filter?The filter selectively transmits the red and blue portions of the incident white light spectrum, but absorbs most of the green wavelength.
Color filters absorb certain wavelengths of color and transmit the other wavelengths allowing them to be seen.
Therefore in conclusion, the right filter can reduce glare, increase contrast, and make lunar features pop.
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b(4+a) ;where a = 6 and b - 2
= 2(4+6)
= 2×10
= 20
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the distances to the nearest 100,000 or so stars can be measured by which of the following techniques? group of answer choices redshift triangulation brightness-distance techniques radar ranging measuring tape
Triangulation can be used to calculate the separations between the closest 100,000 or so stars.
What is the triangulation method of measuring distance?A surveying technique called triangulation measures the angles of a triangle made up of three survey control sites. The additional dimensions there in triangle are determined using geometry and the reported length of always one side.
Why is the procedure of triangulation used?A process of analyzing study results using many data collection methods is known as triangulation. It serves three key functions: to improve validity, to paint a clearer image of a study problem, and to examine various approaches to problem-solving.
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The matter in this series of images is going threw a change. Draw a conclusion about the type of change shown. Is it a physical change or a chemical change
The matter in this series of images is going through a change and a conclusion about the type of change is shown which indicates that it is a chemical change.
What is a Chemical change?This is referred to as the type of change which occurs when the substance's composition is changed and it also occurs when a substance combines with another to form a new substance or when one is broken down into two or more different substances.
The image shown indicates that fire was lit and the substance was subjected to heat which therefore means that there will be gases produced as bubbles are likely to be seen also which indicates a new substance being formed and it is a characteristic of a chemical change which is therefore the reason why it was chosen as the correct choice.
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When you look at a fish in a still stream from the bank, the fish appears shallower than it really is due to refraction. From directly above, it appears
a) deeper than it really is
b) at its actual depth
c) shallower than its real depth
d) It depends on your height above the water
When you look at a fish in a still stream from the bank, the fish appears shallower than it really is due to refraction. From directly above, it appears to be shallower than its real depth.
The correct option is C.
What is the refraction of light?The refraction of light refers to the bending of light rays as they cross the boundary between media of different densities.
The bending of light rays may be towards the normal or away from the normal depending on the ratio of the densities of the media.
When light rays move from media of higher density to media of lower density, the light rays bend away from the normal.
When light rays move from media of lower density to media of higher density, the light rays bend toward the normal.
The ratio of the angle of the incident ray and the angle of the refracted ray is known as the refractive index of the medium.
The refractive index of various materials varies.
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Dario, a prep cook at an Italian restaurant, spins a salad spinner 20.0 times in 5.00 seconds and then stops spinning it. The salad spinner rotates 6.00 more times before it comes to rest. Assume that the spinner slows down with constant angular acceleration. What is the angular acceleration of the salad spinner as it slows down? Express your answer numerically in radians per second per second.ω = θ / t ω = 20 * 2 * π / 5.00 ω = 8π ω = 25.13272 radians/s now I can solve for α using a kinematic equation: ω2f = ω20 + 2α(θ) 02 = 25.132722 + 2 * α * (2 * π * 6.00) 0 = 631.6536 + 75.39816α 75.39816α = -631.6536 α = -8.37757 radians/s2
The angular acceleration, which is frequently denoted by the symbol and stated in radians per second per second, is the rate at which the angular velocity changes over time. = t and = 0 for the scenario when the angular velocity is constant (nonvarying).
In layman's words, what is angular acceleration?
A spinning object's change in angular velocity per unit of time is expressed quantitatively as angular acceleration, also known as rotational acceleration. It is a vector quantity with either one of two predetermined directions or senses and a magnitude component.
What is the basic angular acceleration formula?
The rate at which angular velocity changes is referred to as angular acceleration. Angular acceleration is written as the equation: =t = t, where is the change in angular velocity and t is the change in time.
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in this position, the days in the nourthern hemisphere are
Solstices happen when the axis of the Earth is towards our Sun.
what is nourthern hemisphere ?
The portion of the planet north of the equator is known as the northern hemisphere. Other planets in the Solar System are considered to be in the same celestial hemisphere as Earth's North Pole when seen in relation to the solar system's invariable plane.
The Northern Hemisphere experiences winter from the December solstice (usually December 21 UTC) to the March equinox (generally March 20 UTC), and summer from the June solstice through to the September equinox due to the Earth's axial tilt of 23.439281°. (typically on 23 September UTC). The distinction between the astronomical year and the calendar year causes the dates to change every year. Oceanic currents in the Northern Hemisphere can alter weather patterns that have a significant impact on many northern variables.
Solstices happen when the axis of the Earth is towards our Sun. This occurs twice a year when the Earth is in orbit. The summer solstice, the longest day of the northern hemisphere year, occurs around June 21 when the north pole is angled 23.5 degrees toward our Sun.
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a 0.35-kgkg croquet ball is initially at rest on the grass. when the ball is struck by a mallet, the average force exerted on it is 230 nn.
The mallet is in contact with the croquet ball in the grass for 0.005 seconds long.
The mass of the croquet ball = 0.35 kg
The speed at which the ball struck = 3.1 m/s
The force exerted on the ball = 230 N
The total time when the mallet is in contact with the ball can be found using the formula,
F = mv/t
where F is the force
m is the mass of the ball
v is the speed at which the ball is struck
t is the time
Let us rearrange it,
t = mv/F
Let us substitute the known values in the above equation, we get
t = 0.35 x 3.1 / 230
= 1.085 / 230
= 0.005 seconds
The total time when the mallet is in contact with the ball is 0.005 seconds
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a piston presses down on a sealed cylinder filled with gas until the gas occupies a space that is half as big as before. as a result, the pressure on the gas is
A piston presses down on a sealed cylinder filled with gas until the gas occupies a space that is half as big as before. as a result, the pressure on the gas becomes doubled.
When the piston is pushed down in a cylinder filled with gas What happens to the volume of the gas inside?
When the pressure on the piston is doubled, it moves down until the pressure exerted by the gas equals the pressure exerted by the piston. At this point, the volume of the gas is halved. If the pressure on the piston is again doubled, the volume of gas decreases to one-fourth of its original volume.
What happens to the pressure in a sealed container if the amount of gas in the container increases?
Pressure increases.
Why does the pressure inside a container of gas increase if more gas is added to the container?
The pressure inside a container of gas increases when more gas is added to the container because the volume of the container doesn't change, and the added gas adds more molecules to push against the sides of the container. It is the movement of the gas molecules pushing against the container that causes pressure.
Thus, pressure is doubled.
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a 3.8 kgkg block of wood sits on a frictionless table. a 3.0 gg bullet, fired horizontally at a speed of 520 m/sm/s , goes completely through the block, emerging at a speed of 190 m/sm/s .
what is the speed immediately after it exits the block
The speed of the bullet immediately after it exits the block is 190 m/s.
What is speed?
The speed of an object, also known as v in kinematics, is the size of the change in that object's position over time or even the size of the change in that object's position per unit of time, making it a scalar quantity. The instantaneous speed is the upper limit of the average speed as that of the duration of the time interval gets closer to zero. The average speed of an object in a period of time is indeed the distance travelled by object divided by duration of the interval. Velocity and speed are not the same thing. The dimensions of speed are time divided by distance.
The speed immediately after the bullet exits the block is 190 m/s. This can be determined using the conservation of momentum principle, which states that the total momentum of an isolated system remains constant. In this case, the system is the bullet and the block of wood.
Before the bullet enters the block, the momentum of the system is equal to the momentum of the bullet, which is given by:
p_i = m_b * v_b = (3.0 g) * (520 m/s) = 1560 g m/s
After the bullet exits the block, the momentum of the system is equal to the momentum of the bullet and the block, which is given by:
p_f = m_b * v_b + m_w * v_w = (3.0 g) * (190 m/s) + (3.8 kg) * (0 m/s) = 570 g m/s
By conservation of momentum, we can set the initial and final momentum equal to each other and solve for the velocity of the bullet after it exits the block:
p_i = p_f
1560 g m/s = 570 g m/s + (3.8 kg) * v_w
v_w = 190 m/s
Therefore, the speed of the bullet immediately after exiting the block is 190 m/s.
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A stick of length 2L and negligible mass has a point mass m affixed to each end. The stick is arranged so that it pivots in a horizontal plane about a frictionless vertical axis through its center. A spring of force constant k is connected to one of the masses. The system is in equilibrium when the spring and stick are perpendicular. The stick is displaced through a small angle theta. a) Determine the restoring torque when the stick is displaced from equilibrium through the small angle theta b) Determine the magnitude of the angular acceleration of the stick just after it has been released c) Write the differential equation whose solution gives the behavior of the system after it has been released d) Write the expression for the angular displacement theta of the stick as a function of time t after it has been released from rest
Answers:
a. τ = FLcos\Theta = FL = -kL2\Theta
b. a = -ke/2m
n
c. d2\Theta/dt2 = -k\Theta /2m
d. \Theta=\Theta0 cos (k/2m)1/2t
Please explain all the steps in arriving at the answers.
A stick of length 2L and negligible mass has a point mass m affixed to each end. The stick is arranged so that it pivots in a horizontal plane about a friction less vertical axis through its center, thus calculated values are:
(A) Torque (τ) = F × L cosθ
(B) α = - Kθ/2m
(C) d²θ/dt² = -Kθ/2m
(D) θ = cos ⁻¹ ( kθ t/2Lm)
What is torque?The term "torque" refers to the twisting force that an engine exerts as it works, and it expresses the rotating force. Everyday activities like turning a doorknob, opening a drink bottle, using a tool, or peddling a bicycle all involve torque.
(A)
General equation of torque (τ) will be product of force and perpendicular distance.
τ = F × (perpendicular distance)
In this case, restoring torque. Hence, force F we taken as restoring force, and the perpendicular distance x-axis is component of L.
or, τ = F × [tex]L_{x-axis}[/tex]
or, τ = F × L cosθ
(B)
Angular acceleration general equation is:
α = Δω/Δt
here, Δω = change in angular velocity.
Δt = change in time
As we know, acceleration = force/mass
now, angular acceleration = angular force / mass of body
so, α = - Kθ/2m
(C)
f(t) = α × (t²/2)
or, f(t) = - Kθ/2m × (t²/2)
or, f(t) = - Kθ t² / 4m
now differentiating with respect to t:
or, dθ/dt = -Kθ t/2m
differentiating again with respect to t:
d²θ/dt² = -Kθ/2m
(D)
The expression for angular displacement:
cos θ = adjacent side / opposite side
or, cos θ = adjacent side / 2L
or, θ = cos ⁻¹ ( kθ t/2Lm)
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Part A
An ideal gas expands at a constant total pressure of 3.1 atm from 450 mL to 810 mL . Heat then flows out of the gas at constant volume, and the pressure and temperature are allowed to drop until the temperature reaches its original value.
Calculate the total work done by the gas in the process.
Express your answer to two significant figures and include the appropriate units.
Part B
Calculate the total heat flow into the gas.
Express your answer to two significant figures and include the appropriate units.
The work that is done by the gas can be obtained as 110 J.
There is not enough information in the question to determine part B.
What is the work done?We know that a gas is said to do work whenever the gas expands. The expansion of a gas mans that the gas is able to increase its volume and we can see from the question that the volume of the gas was quite able to move from a value of 450 mL to 810 mL .
How then can be be able to obtain the work that has been done by the gas in this case? We are aware that we do have the following parameters from the question;
Pressure of the gas = 3.1 atm
Initial volume of the gas = 450 mL or 0.45 L
Final volume of the gas = 810 mL or 0.81 L
The we have the formula;
W =PΔV
W = work done
P = pressure of the gas
ΔV = change in the volume of the gas
Thus;
W = 3.1 (0.81 - 0.45)
W = 1.12 atm L or 110 J
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Ibrahim fires a gun in front of a building 167m away. If the speed of the sound is 334m/s calculate time in which he hears an echo
as a care package falls from a high-flying stationary helicopter, its velocity increases and its acceleration___
A care package drops from a stationary high-flying helicopter with increased velocity and decreased acceleration.
An item that falls through a vacuum is exposed to only one external force, the gravitational force, represented as the weight of the object. An item that is moving simply because of the influence of gravity is said to be free falling and its motion is defined by Newton’s second law of motion. With algebra we can solve for the acceleration of a free falling item. The acceleration is constant and equal to the gravitational acceleration g which is 9.8 meters per square second at sea level on the Earth. The weight, size, and form of the item are not a consideration in characterizing a free fall. A beach ball falls with the same velocity as an airplane in a vacuum.
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A water tank is 1/8 full. the tank is 3/4 full when 42 gallons of water are added to the tank. how much water can the tank hold?
The tank can hold a water of volume 67.2gallons
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
The capacity of an object can be measured in litres, gallon , cm³ e.t.c.
The tank is 1/8 full, when 42 gallons of water is added it is 3/4 full.
Therefore the fraction of water added is 3/4-1/8= 5/8.
This means 5/8 of the tank is 42 gallons. Therefore if 5/8 of the tank = 42gallons,
full tank will be 42× 8/5
= 67.2 gallons
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one end of a spring is attached to a wall. a 20 n pull on the other end causes the spring to stretch by 2.6 cm .
One end of a spring is attached to a wall and its other end is pulled by a 20N force. The spring is strething until it reach 2.6 cm. Based on Hooke's Law, the spring constant is 769.23 N/m.
Hooke's Law states that when a spring is compressed or extended by a force, the force is proportional to the length strecth.
Spring constant represents the spring's stiffness. It describes the force needed per unit of spring extension. Spring constant and force have relationship where:
F = -k.x
F = force working on the spring
k = the spring constant
x = the spring's displacement from its equilibrium position
Based on the case, we know that:
F = 20N
x = 2.6 cm = 0.026m
k = ?
We will use the spring constant formula to find the spring constant:
F = k.x
k = F/x
k = 20N/0.026m
k = 769.23 N/m
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Complete Question:
One end of a spring is attached to a wall. A 20N pull on the other end causes the spring to strecth by 2,6 cm. What is the spring constant?
