All of the given options are correct as the velocity of each ball is transferred via collision
Given,
5 balls are placed one after the other
the velocity of the second ball is V0
if the second ball is given the velocity, it will rebound back and hit the first one. Also, all the other balls will undergo collision due to the velocity given to the second ball.
therefore, 5 collisions will take place
as the second ball collides with the 3rd one, its momentum is transferred to the 4th and will carry on to 5th ball and thus separation velocity of 5th and 1st ball will be the same.
Again, as the collision ends up with only 1st and 2nd ball being separated by velocity V0 , then other 3 balls remain stationary
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If the total mechanical energy of a swinging pendulum is 75 J,
and its mass is 5. 0 kg, what is the maximum height reached?
Use g = 10 m/s2
___m
The total mechanical energy of the pendulum can be divided into potential energy and kinetic energy.
At the maximum height, the kinetic energy is 0 and all the energy is potential energy.
Therefore, the maximum height (h) can be calculated using the equation: h = (PE/m) / g = (75/5) / 10 = 1.5 m.
How does the velocity of a pendulum at its maximum height relate to its total mechanical energy?The rate of a pendulum at its maximum height is same to 0. At this factor, all the pendulum's overall mechanical electricity is in the shape of gravitational capacity strength. Because the pendulum swings down, the ability power is converted into kinetic electricity, achieving a maximum price at the lowest of its swing in which its pace is finest. On the most peak, the pendulum has no pace and consequently no kinetic energy, however its ability strength is at its most fee. For this reason, the speed of a pendulum at its most height is inversely proportional to its general mechanical strength.
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The maximum height reached by the pendulum is 15 meters.
What do you mean by Potential Energy?Potential energy is a type of energy that an object possesses as a result of its position or configuration in a force field. It is energy stored in an object due to its height above a reference point, its state of compression or tension, or the arrangement of its constituent parts. Potential energy is relative to a reference point and is dependent on the strength of a particular force field. For example, the potential energy of an object on the edge of a cliff is related to the object's height above the ground, and the potential energy of a stretched spring is related to the amount it is stretched or compressed. The potential energy of an object can be converted into other forms of energy, such as kinetic energy, when the object is released or otherwise allowed to move in the force field.
To find the maximum height reached by a pendulum, we need to know the initial potential energy of the system, which is given by the equation:
PE = mgh
where m is the mass of the pendulum (5.0 kg), g is the acceleration due to gravity (10 m/s2), and h is the height.
Since the total mechanical energy of the system is given (75 J), we can set this equal to the initial potential energy:
75 J = 5.0 kg * 10 m/s2 * h
Solving for h, we find:
h = 75 J / (5.0 kg * 10 m/s2) = 15 m
So the maximum height reached by the pendulum is 15 meters.
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A group of people are pushing a stalled car with a mass of 1100 kg. If they push with a net force of 350 Newtons for 10 seconds, what is the car’s velocity?
The car would move with a velocity of 3.182 m/s if they applied a net force of 350 Newtons for 10 seconds.
What is meant by net force?The net force is the total of all the forces operating on an object, according to its definition. Mass can be accelerated by net force. Whether a body is at rest or in motion, another force is at work on it. When a system has a lot of forces acting on it, the phrase "net force" is employed.
The net force, sometimes referred to as the resultant force, is the total force acting concurrently on an item. For instance, a rope being pulled from the right by a force of five newtons and from the left by a force of three newtons will experience a net force of two newtons from the right.
A bunch of individuals are pulling an automobile that weighs 1100 kg and is stuck in traffic. The car would move with a velocity of 3.182 m/s if they applied a net force of 350 Newtons for 10 seconds.
Therefore, the car’s velocity would be 3.182 m/s.
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question a particle with a small electric charge is moved in an electric field by an external force. when the particle is moved along an electric potential isoline, in what direction, if any, is the force exerted by the electric field on the particle?
A particle with a small electric charge is moved in an electric field by an external force. When the particle is moved along an electric potential isoline, in what direction, if any, The force exerted by Perpendicular to the direction of the particle's motion.
What Is Electric Charge“Electric Charge is the property of subatomic particles that causes it to experience a force when placed in an electric and magnetic field.”
Electric charges are of two types: Positive and Negative, commonly carried by charge carriers protons and electrons.
Examples of the types of charges are subatomic particles or the particles of matter:
Protons are positively charged.Electrons are negatively charged.Neutrons have zero charge.Is Electric Charge a Vector QuantityElectric charge is a scalar quantity. Apart from having a magnitude and direction, a quantity to be termed a vector should also obey the laws of vector addition, such as triangle law of vector addition and parallelogram law of vector addition; only then the quantity is said to be a vector quantity. When two currents meet at a junction, in the case of an electric current, the resultant current of these will be an algebraic sum and not the vector sum. Therefore, an electric current is a scalar quantity, although it possesses magnitude and direction.
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physical pendulum in the form of a planar object moves in simple harmonic motion with a frequency of 0.450 1--lz. the pendulum has a mass of 2.20 kg, and the pivot is located 0.350 m from the center of mass. determine the moment of inertia of the pendulum about the pivot point.
The moment of inertia of the pendulum about the pivot point is [tex]0.385 kg*m^2[/tex]
A physical pendulum in the form of a planar object moves in simple harmonic motion when it oscillates about a pivot point, and the frequency of oscillation is determined by the moment of inertia of the pendulum about the pivot point.
The frequency of oscillation of the pendulum is given as 0.450 Hz. The moment of inertia of the pendulum I can be calculated using the equation:
[tex]I = m * L^2[/tex]
where m is the mass of the pendulum and L is the distance from the pivot point to the center of mass.
In this case, the mass of the pendulum is 2.20 kg and the distance from the pivot point to the center of mass is 0.350 m, so the moment of inertia is:
[tex]I = 2.20 kg * (0.350 m)^2 = 0.385 kg*m^2[/tex]
So, the moment of inertia of the pendulum about the pivot point is [tex]0.385 kg*m^2[/tex]
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physical science worksheet conservation of energy #1
(use g = 10 m/sr for atl catculfiions)
physical science worksheet conservation of energy based on this formula. ME=GPE + KE.
What is meant by energy ?
Energy is referred to by scientists as the capacity for work.People have figured out how to transform energy from one form to another and then use it to accomplish tasks, making modern civilization possible.The ability to exert a force that causes an item to move is what is meant by the definition of energy as the "power to accomplish work."Even though the definition is unclear, the meaning is clear: energy is simply the force that moves things.Energy can take on a variety of shapes. Examples of these include: electrical energy, sound energy, chemical energy, nuclear or atomic energy, light energy, heat energy, mechanical energy, gravitational energy, and so on.Each form has the ability to shift or transform into the others.1m/sr = GPE = 85
KE= 7J
ME=155
10m/sr GPE = 15J
KE= 05J
ME=155
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at what angle above the horizontal should the ball be thrown so that the runner will catch it just before it hits the ground?
The angle at which ball should be thrown so that runner will catch it just before it hits the ground depends on several factors, such as the distance between the thrower and runner, speed of the runner, speed of the ball, and the height of runner's catch.
What angle above horizontal the ball should be thrown so that runner will catch it just before it hits the ground?To maximize the chances of the runner catching the ball, it should be thrown at an angle that is slightly above horizontal and that allows ball to travel the greatest distance possible while still giving the runner enough time to reach ball's landing point.
To determine the angle at which the ball should be thrown, following information is needed:
Distance between the thrower and the runner, Speed of the runner, Speed of the ball and Height of the runner's catch
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What is the net work done on a 0.430kg football as, starting from rest, it is thrown at
12.7m/s?
a. Wnet = 0
b. Wnet = 34.7J
c. Wnet = 69.4J
d. Wnet = 2.73J
The work that is done by the ball is 2.73J.
What is the net force?We have to note that the net force has to do with the force that we can obtain from the Newton's law. We have to note that from the use of the Newton's law that we are going to have that;
F = ma
F = force
m = mass
a = acceleration
Assuming the time to be 1s
a = 12.7 - 0/1
a = 12.7m/s^2
Then the work that is done is obtained by the use of the formula stated above as follows;
F = 0.430kg * 12.7m/s^2
F = 2.73J
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On Jupiter, g = 25N/kg. Calculate the energy gained when the same 2kg mass is raised by 3m.
The gravitational potential energy that have been gained by the body is 150 J.
What is the energy that is gained?Now, we have to look at the fact that the gravitational potential energy of the object would depend on the position of the object that is placed in space. We know that the acceleration due to gravity would depend on the position of the object also in the universe.
Then, we can be able to obtain the gravitational potential energy that has been gained from;
E = mgh
E = energy
m = mass
g = acceleration due to gravity
h = height
Thus we have;
E = 2 * 25 * 3
= 150 J
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four point charges lie on the vertices of a square with side length . two adjacent vertices have charge while, the other two have charge . what is the m
the Magnitude of the electric field at the center of the square has four-point charges lying on the vertices of a square with side length. two adjacent vertices have charge while the other two have charge will be q1/([tex]\sqrt{2\\}[/tex]Πε[[tex]x^{2}[/tex]+[tex]1^{2}[/tex][tex]]^{3/2}[/tex].
Lets all the 4 charges have the charge of q1 (two with the same charge and the other two with another charge) so E1 (Electric field) will be
E1 =2Ecosθ = 2kq/[[tex]x^{2}+1^{2}[/tex]]^3/2 along AC; E2 = 2Ecosθ = 2kq/[[tex]x^{2}+1^{2}[/tex]]^3/2 along DB
so E1⊥E2. The net field will be adding both the electric field
E0 = [tex]\sqrt{E1^{2} +E2^{2} }[/tex] = 2[tex]\sqrt{2}[/tex]kql/[[tex]x^{2}+1^{2}[/tex]]^3/2
=> q1/([tex]\sqrt{2\\}[/tex]Πε[[tex]x^{2}+1^{2}[/tex]]^3/2
Which is the resultant of the electric field of all four charges on the vertexes of the square.
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an electric field of constant magnitude 'e' is tangent everywhere to a curved surface of area 'a'. what is the electric flux through the curved surface?
Option B, EA is the surface's electric flux. Due to the fact that the electric flux is defined as the electric field times the surface area it traverses.
The electric flux can be calculated as EA because the surface area is known and the electric field strength is constant.
Electric flux is a measurement of the strength of an electric field flowing through a specific surface. It is calculated by dividing the electric field's strength by the surface area through which it passes.
If the surface area is known and the electric field magnitude is constant in this situation, finding the electric flux can be done by simply multiplying these two numbers.
EA is the mathematical abbreviation for this, where A denotes the surface area and E is the electric field.
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The question is -
(A) An electric field of constant magnitude is tangent everywhere to a curved surface of area . What is the electric flux through the curved surface?
a) Zero
b) EA
c) –EA
d) 2EA
e) Not enough information
the african antelope known as a springbok will occasionally jump straight up into the air, a movement known as a pronk. the speed when leaving the ground can be as high as 8.2 m/s. how many seconds will it stay in the air?
Answer: Man will stay in air in 0.83 sec.
What is speed ?
--Speed is defined as.
--The rate of change of position of an object in any direction.
--Speed is measured as the ratio of distance to the time in which the distance was covered.
--A body that moves with constant acceleration means that it moves in "a uniformly --accelerated movement", which means that if the velocity is plotted with respect to time we will find a line and its slope will be the value of the acceleration, it determines how much it changes the speed with respect to time.
When performing a mathematical demonstration, it is found that the equations that define this movement are as follows.
Vf=Vo+a.t (1)
{Vf^{2}-Vo^2}/{2.a} =X (2)
X=Xo+ VoT+0.5at^{2} (3)
X=(Vf+Vo)T/2 (4)
Where
Vf = final speed
Vo = Initial speed
T = time
A = acceleration
X = displacement
In conclusion to solve any problem related to a body that moves with constant acceleration we use the 3 above equations and use algebra to solve
To solve this problem we must divide it in tow parts, the first is when the springbok accelerates upwards with 35m / S ^ 2, the objective of the first part is to find the final speed using equation number 2
Part 1
Vo=0
a= 35 m/s2
x=0.7m
{Vf^{2}-Vo^2}/{2.a} =X
solving for Vf
, the final velocity of part 1 is the initial velocity of movement 2, and the acceleration is the gravity = -9.81m / s ^ 2.
we use the ecuation number tow(2)
Vo=7m/s
a=g=-9.81m/S^2
Vf=0m/s
{Vf^{2}-Vo^2}/{2.a} =X
{0^{2}-(7)^2}/{2.(-9.81)} =X
X=2.5m
finally the distance traveled is the sum of the distances of part 1 and 2
object in air 0.83 sec.
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susan replaces all the old incandescent bulbs in her home with led bulbs. by the time she was done, she had replaced 45 lightbulbs with more energy-efficient varieties. how much should she expect to save in energy bills each year?
Susan should expect to save approximately $3,822.5 in energy bills each year by replacing her incandescent bulbs with LED bulbs.
LED bulbs are much more energy-efficient than incandescent bulbs. They use significantly less power and last much longer.
One of the ways to estimate energy savings is to calculate the difference in power consumption between an incandescent bulb and a LED bulb of the same brightness.
For example, if an incandescent bulb uses 60 watts and a LED bulb uses 10 watts to produce the same amount of light, the LED bulb will use 83% less energy than the incandescent bulb.
If we assume that each LED bulb last for an average of 25,000 hours and the incandescent last for an average of 1,200 hours and the cost of electricity is $0.13 per kWh, the savings will be:
(45 bulbs * (60-10)W/1000) * 25000hrs/yr * $0.13/kWh = $3,822.5
So, Susan should expect to save approximately $3,822.5 in energy bills each year by replacing her incandescent bulbs with LED bulbs.
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A candy maker offers Child and Adult bags of jelly beans with different color mixes. The company claims that the Child mix has 30% red jelly beans, while the Adult mix contains 15% red jelly beans. Assume that the candy maker's claim is true. Suppose we take a random sample of 50 jelly beans from the Child mix and a separate random sample of 100 jelly beans from the Adult mix. Let (pc - pa) and be the sample proportions of red jelly beans from the Child and Adult mixes, respectively.
(a) What is the shape of the sampling distribution of ?Why?
(b) Find the mean of the sampling distribution. Show your work.
(c) Find the standard deviation of the sampling distribution. Show your work.
(a) The shape of the sampling distribution of (pc - pa) is normal ,(b) The mean of the sampling distribution of (pc - pa) is 15% and The standard deviation of the sampling distribution 0.051.
(a) The shape of the sampling distribution of (pc - pa) is normal. This is because the sample proportions of red jelly beans from the Child and Adult mixes are generated from independent random samples of jelly beans, and the Central Limit Theorem states that the sampling distribution of a sample proportion will be approximately normal when the sample size is large.
(b) The mean of the sampling distribution of (pc - pa) is 15%. This is because the expected proportion of red jelly beans in the Child mix is 30%, while the expected proportion of red jelly beans in the Adult mix is 15%. Thus, the difference in the expected proportions is 15%.
(c) The standard deviation of the sampling distribution of (pc - pa) can be calculated as follows:
Standard Deviation = sqrt((pchild*(1-pchild))/nchild + (padult*(1-padult))/nadult)
= sqrt((0.30*(1-0.30))/50 + (0.15*(1-0.15))/100)
= sqrt(0.021 + 0.0045)
= 0.051
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which types of geometrical symmetry does a sphere have?
A. Rotational symmetry
B. Reflection symmetry
C. Translational symmetry
The sphere has two geometrical symmetries, they are
1. Rotational symmetry
2. Reflection symmetry
What is Rotational Symmetry?Rotational symmetry: An object's ability to maintain the same shape when rotated about its own axis is known as rotational symmetry. When turned 180 degrees or at certain angles, either clockwise or counterclockwise, many geometrical forms appear to be symmetrical. Examples include the square, circle, hexagon, and more.
What is Reflection Symmetry?Reflection symmetry: Symmetry with regard to reflections is known as reflection symmetry. Mirror or line symmetry are other names for reflection symmetry. If a figure is divided into two halves, one of the halves must be the mirror image of the other, according to this rule.
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Geometrical symmetry states that a sphere has reflection symmetry. The orthogonal group O is the name of the symmetry group of the sphere, which includes reflections (3).
Which symmetry in geometry does a spherical possess? Geometrical symmetry states that a sphere has reflection symmetry. The orthogonal group O is the name of the symmetry group of the sphere, which includes reflections (3). The special orthogonal group SO is the symmetry group that only has rotations (3).Further investigation reveals that two electrons spinning in the same direction at the same time cannot be positioned in the same location due to the two-fold rotational property of spherical symmetry.Spherical geometry is the three-dimensional, spherical counterpart of Euclidean or planar geometry and is described as "the study of figures on the surface of a sphere" (MathWorld).In physics, a body is considered to have spherical symmetry if only its density varies with distance from the center.To learn more about geometrical symmetry refer
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a baseball bat collides with a 0.145 kg baseball moving with an initial velocity of 35 m/s to the left. if the collision lasts 0.005 seconds and the final velocity of the ball is 25 m/s to the right, what was the force of the bat on the ball?
According to Newton's third law of motion, the ball imparts an equal and opposite force on the bat. i.e 290 N
Given that,
The mass of the ball = .145 kg
initial velocity of 35 m/s
collision lasts 0.005 seconds
final velocity of the ball is 25 m/s
We have momentum = mass x velocity.
a) Initial momentum = 0.145*35 = 5.075 kg-m/s
b) Final momentum = 0.145*25 = 3.625 kg-m/s
c) Change in momentum = 5.075 - 3.625 = 1.45 kg-m/s
Impulse = Force x time = change in momentum
F = change in momentum/time = 1.45/0.005 = 290 N
d) By Newton's third law of motion, the ball imparts an
equal and opposite force on the bat.
therefore, Force = 290 N.
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HELPPPP ASPPP PLEASE THANK YOU
The real world examples of a transverse wave is: Sound waves, Vibrations on guitar strings, Clapping.
What is transverse wave?A transverse wave is a wave whose oscillations are perpendicular to the wave's advance direction. In contrast, a longitudinal wave moves in the direction of its oscillations. A transverse wave is an example of one. Transverse wave motion occurs when all points on a wave oscillate along paths that are perpendicular to the wave's advance direction. A progressive wave is a transverse wave. A transverse wave's propagation direction is always perpendicular to its vibration direction. A vacuum can only carry a few types of transverse waves. A transverse wave is something like an electromagnetic wave or a light wave.
Here,
Sound waves, vibrations on guitar strings, and clapping are all real-world examples of transverse waves.
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what type of gaussian surface is best to determine the electric field from a large (ignore edge effects) sheet of charge?
The easiest way to extract the electric field from a big sheet of charge is to use a cylindrical gaussian surface. Charges and their arrangements, such as in capacitors and battery cells, produce electric fields.
The easiest way to extract the electric field from a big sheet of charge is to use a cylindrical Gaussian surface. Calculating the flux through the surface is simple since the cylinder-shaped surface encloses the sheet of charge and the electric field lines are parallel to the axis of the cylinder. The symmetry of the cylindrical surface also makes it simple to calculate the electric field. If the cylindrical Gaussian surface is selected to be sufficiently big in comparison to the size of the sheet, the edge effects can be disregarded. Charges and their arrangements, such as in capacitors and battery cells, produce electric fields.
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four identical charges q are placed at the corners of a square of side a. find the magnitude of the electric field at one charge produced by the other three charges
The magnitude formula is able to test the stability of the induced current F put on a charge [q 1] as an effect of another charge [q 2: [F = frac(k,q,r)] The Coulomb's ratio (k) or the distance (r) between two are present here.
How do you define magnitude?huge or highly significant: An average man would have given up due of the task's size. earth science The brilliance of a galaxy as seen from Earth is also measured by magnitude.
Does size equal worth?A quantity's measuring or absolute value is referred to as its magnitude. A positive actual number serves as the symbol for a magnitude. A magnitude can be defined as a quantity's size in simple terms.
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by which element are gamma rays produced
Answer: Some elements like potassium, uranium, and thorium are naturally radioactive and give off gamma rays as they decay, but all elements can be excited by collisions with cosmic rays to produce gamma rays. The HEND and Neutron Spectrometers on GRS directly detect scattered neutrons, and the Gamma Sensor detects the gamma rays.
Explanation: searching
David wrote Five $10 Checks and two check for 100 each
A subatomic particle that carries a negative charge.
is the smallest particle made up of three subatomic particles, Neutrons, Protons, and Electrons.
FALSE: An atomic-scale object with a negative charge. It is consisting of three subatomic particles, Neutrons, Protons, and Electrons, and is the smallest particle known is a "incorrect" statement.
Define the term subatomic particle?Any of the multiple self-contained units like substance or energy that make up the building blocks of all matter are considered subatomic particles, also known as elementary particles.
They include the heavier constituents of the small but extremely dense atom's nucleus, the positive charge protons and also the electrically neutral neutrons, as well as the electrons, those negatively charged, nearly massless particles that still make up the majority of the atom's size. The only observed subatomic particles, however, are not these fundamental atomic building blocks. For instance, quarks are the building blocks of protons and neutrons, and the electron is just one of several basic particles in this group, which also comprises the muon as well as the neutrino.Thus, an atomic-scale object with a negative charge. It is consisting of three subatomic particles, Neutrons, Protons, and Electrons, and is the smallest particle known is a "incorrect" statement.
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The complete question is-
A subatomic particle that carries a negative charge. It is the smallest particle made up of three subatomic particles, Neutrons, Protons, and Electrons. (TRUE/ FALSE)
A sample of an ideal gas expands to twice its initial volume. In which type of expansion does the gas perform the least work?
A) A free expansion, in which the gas expands suddenly into a vacuum
B) A slow, gradual expansion in which heat is added to the gas
C) A rapid isothermal compression of the gas to half its initial volume, followed by a slow expansion in which heat is added
A free expansion, in which the gas expands suddenly into a vacuum, is the type of expansion in which the gas performs the least work. So correct option is A).
What do you mean by ideal gas?An ideal gas is a theoretical gas that is considered to have several idealized characteristics. These include:
No intermolecular forces: The particles in an ideal gas are considered to occupy a large volume relative to the size of the individual particles, and they are not considered to interact with one another through intermolecular forces.Completely random motion: The particles in an ideal gas are considered to move randomly in any direction, with no preferential direction of motion.Point-like particles: The particles in an ideal gas are considered to be point-like, with no size or structure.Constant volume: The volume of an ideal gas is considered to be constant and does not change with pressure or temperature.These idealized conditions are used to make predictions about the behavior of real gases in various physical systems, and the concept of an ideal gas is a useful tool for understanding and modeling the behavior of gases.
During a free expansion, no external forces are acting on the gas, and no work is done by or on the gas. This is because work is defined as the transfer of energy from one system to another, and in a free expansion, the gas is isolated from its surroundings, so no energy transfer takes place. In contrast, during a slow, gradual expansion in which heat is added to the gas, or a rapid isothermal compression of the gas followed by a slow expansion in which heat is added, external forces are acting on the gas, and work is done on the gas. In these cases, the gas performs more work because energy is transferred from the surroundings to the gas.
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A system consists of two positive point charges, q1 and q2>q1. The total charge of the system is 70. 0 μC , and each charge experiences electrostatic force of magnitude 82. 0 N when the separation between them is 0. 270 m. Find q1 and q2
When each charge experiences electrostatic force of magnitude 82.0 N and the separation between them is 0.270 m. Then q1 is 3.5 x 10^-9 C
and q2 is 6.65 x 10^-9 C.
The electrostatic force between two charges is given by Coulomb's law:
F = k x q1 x q2 / r^2
where F is the electrostatic force, q1 and q2 are the charges, r is the distance between the charges, and k is Coulomb's constant (8.99 x 10^9 N x m^2/C^2).
We know that:
F = k x q1 x q2 / r^2 = 82.0 N
r = 0.270 m
And the total charge of the system is 70.0 μC = 70.0 x 10^-6 C
We can use these equations to find the values of q1 and q2. First, we can use the equation for the electrostatic force to find the product of the two charges:
q1 x q2 = F x r^2 / k = 82.0 x (0.270)^2 / (8.99 x 10^9)
Next, we can use the equation for the total charge to find the sum of the two charges:
q1 + q2 = 70.0 x 10^-6
Now we have two equations and two unknowns. We can use these equations to find q1 and q2.
Solving for q1 and q2, we get:
q1 = 3.5 x 10^-9 C
q2 = 6.65 x 10^-9 C
q1 and q2 are the charges on the point charges.
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4. This is the total distance moved during a time period. Like traveling 60 miles in 1 hour. *
(1 Point)
Distance
O Displacement
O Acceleration
O Speed
Speed is a measure of how far an object travels in a given amount of time. In this example, the speed is 60 miles per hour.
What is Speed?Speed is the rate at which an object moves in a given amount of time. It is an important measure of the rate of motion, and can be expressed in many different units including meters per second, miles per hour, kilometers per hour, and more. Speed is the magnitude component of velocity, which is the vector quantity that describes both the speed and direction of an object. Speed is a scalar quantity, meaning that it has magnitude or size but no direction associated with it. In physics, speed is typically measured with the use of a speedometer or other instrument to detect the rate at which an object is moving.
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Suppose astronomers built a 100-meter telescope. How much greater would its light-collecting area be than that of the 10-meter Keck telescope
The light collecting area of the 100-m telescope will be 100 times the light collecting area of the 10-meter keck telescope.
Given the diameter of first telescope (d1) = 100m
The diameter of Keck telescope (d2) is = 10m
We know that the light collecting area of a telescope is represented as:
A = πD^2/4 where D is the diameter f telescope.
A1/A2 = πd1^2/πd2^2
A1/A2 = 100 x 100 / 10 x 10 such that A1/A2 = 100
A1 = 100A2
It represents that the light collecting area of the 100-m telescope will be 100 times the light collecting area of the 10-meter keck telescope.
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A boy exerts a 45 N horizontal force as he pulls a 62 N sled across a cement sidewalk at constant speed. What is the coefficient of kinetic friction between the sidewalk and the metal sled runners? Ignore air resistance
The ratio of the friction force to the normal force that a body travelling over a dry, uneven surface experiences is known as the kinetic friction coefficient (k).
How much snow does the sled encounter during its motion?The sled's runners experience kinetic frictional force from the snow, which causes the sled to slow down and ultimately come to a stop. Kinetic friction has a 0.050 coefficient.The resistive friction force (Fr) divided by the normal or perpendicular force (N) pushing the objects together yields the coefficient of friction (fr), a numerical value. The formula fr = Fr/N is used to represent it.The ratio of the friction force to the normal force that a body travelling over a dry, uneven surface experiences is known as the kinetic friction coefficient (k). A pretty clever approach described by can be used to determine k with a fair amount of accuracy.To learn more about kinetic friction coefficient (k) refer to:
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an empty truck with a mass of 2500 kg has an engine that will accelerate at a rate of 1.5 m/s what will happen if the truck is carrying an additional weight of 1500kg
The acceleration of the truck when an additional weight of 1500kg is added to an empty truck of mass 2500kg is 0.9375 m/s².
What is Acceleration?Acceleration is the rate of change of the velocity of an object with respect to the time interval. Acceleration is a vector quantity. The orientation of an object's acceleration is given through the orientation of the net force which is acting up on that object.
Force = Mass × acceleration
Empty truck Mass = 2500 kg
Acceleration = 1.5 m/s²
Force = 2500 × 1.5
Force = 3750 N
Additional load of 1500 kg
Total Mass = (2500 + 1500)kg = 4000 kg
3750 = 4000 × a
a = 3750 /4000
a = 0.9375 m/s²
Acceleration when the truck has an additional load of 1500 kg is 0.9375 m/s².
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In a certain lab experiment, a spring gun was placed on a table and fired steel ball horizontally outward. A student determines that the ball starts 1.0 m above the floor and travels 2.7 m before striking the floor.
(a) Determine the time that the ball is in the air.
(b) Determine the initial velocity of the ball.
Show your work.
a) There are 0.23 seconds in which the ball is in the air.
b) 11.74 meters per second is the ball's initial horizontal speed.
What exactly is speed?A body's velocity is defined as the rate at which its displacement alters over time. Having both magnitude and direction, velocity is a vector quantity.
A body's velocity is defined as the rate at which its displacement alters over time.
The point is 1.0 meters tall vertically.
The ball rolled across a horizontal distance of 2.7 meters.
(H/2g) is the length of time the ball has been in the air.
= √(1.0/2×9.8)
is 0.23 seconds
b) The ball travels at an initial horizontal velocity of = 2.7 m/0.23 s.
= 11.74 m/s.
a) There are 0.23 seconds in which the ball is in the air.
b) 11.74 meters per second is the ball's initial horizontal speed.
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if a test charge of magnitude twice as large as the original test charge were placed at point a, how would the force it feels compare to the force felt by the original test charge when it was placed at point a?
The force felt by the larger test charge would be twice as large as the force felt by the original test charge.
This is because the force felt by a test charge in an electric field is directly proportional to the magnitude of the test charge. The electric field is a vector field and the force experienced by a test charge is given by the product of the charge of the test particle and the electric field at that point.
So, when the magnitude of the test charge is doubled, the force experienced is also doubled. Therefore, if a test charge of magnitude twice as large as the original test charge were placed at point a, it would feel twice the force that the original test charge felt when it was placed at that same point.
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A 3.0-cm object is placed 8.0 cm in front of a mirror. The virtual image is 4.0 cm further from the mirror when the mirror is concave than when it is planar.
. Determine the focal length of the concave mirror. (a) 6.0 cm (c) 24 cm (e) 96 cm (b) 12 cm (d) 48 cm
. Determine the image height in the concave mirror. (a) 0.5 (c) 2.0 (e) 4.5 (b) 1.5 (d) 3.0
The focal length and image height of the concave mirror is 24cm and 4.5cm respectively. So, the correct options are (C) and (E) respectively.
What is Concave mirror?A concave mirror is defined as a reflective surface that is curved inward and away from the light source to reflect light inward at a focal point. Convex mirror is the image formed by a concave mirror shows different types of image depending on the distance between the object and the mirror.
The focal length of the mirror is :
[tex]1/f = 1/d_o + 1/d_i[/tex]
where, [tex]d_o[/tex] and [tex]d_i[/tex] are distances of object and image respectively
For normal mirror[tex]d_o = d_i = 8[/tex]
For concave mirror [tex]d_o = 8; d_i = 12[/tex]
1/f = 1/8 - 1/12 (following sign conventions)
f = 24cm
object height = 3cm
Height of the image is 3*12/8 = 4.5cm
Thus, the focal length and image height of the concave mirror is 24cm and 4.5cm respectively. So, the correct options are (C) and (E) respectively.
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