(a) The angle of the hill is 40⁰
(b) The vertical of Jill's velocity is 1.93 m/s.
What is the angle of the hill?
The angle of the hill is calculated by applying the following kinematic equation as shown below.
Vₓ = V cosθ
where;
V is the velocity of JilVₓ is the horizontal component velocityθ is the angle of the hillcosθ = Vₓ / V
θ = arc cos (Vₓ / V)
θ = arc cos (2.3 / 3)
θ = 40⁰
The vertical component of the velocity is calculated as follows;
Vy = 3 m/s x sin (40)
Vy = 1.93 m/s
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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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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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Light travels up through a pond of water of critical angle 49°. What happens at the surface if the angle of incidence is 30°?
The light will refract and pass through the water's surface at an angle of incidence greater than the critical angle if the angle of incidence is 30 degrees, leading to total internal reflection.
How does a substance's refractive index impact the angle of refraction?
A substance's refractive index is a measurement of how much light is bent as it passes through it. The angle of refraction increases with increasing refractive index. The angle of refraction increases as light travels from a medium with a lower refractive index, like air, to a medium with a higher refractive index, like water or glass. Because of this, as light enters the higher refractive zone, it bends more sharply. .
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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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Rank the colored waves in order of highest frequency to lowest frequency. highest frequency lowest frequency
Answer:
Explanation:
Highest → Lowest frequency
Violet→Indigo→Blue→Green→Yellow→Orange→Red
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 the absence of air resistance, what launch angle of a projectile results in the longest range?
In the absence of air resistance, the launch angle of the projectile results in the longest range is found to be 45°.
What is the launch angle?The launch angle may be defined as the vertical angle at which the ball leaves a player's bat after being struck. Average Launch Angle (aLA) is calculated by dividing the sum of all Launch Angles by all Batted Ball Events.
The angle between an input ray and the fiber axis. If the end face of the fiber is perpendicular to the fiber axis, the launch angle is equal to the angle of incidence. The angle of a projectile's initial velocity is definitely calculated when measured from the horizontal direction. These angles are typically 90° or less.
Therefore, in the absence of air resistance, the launch angle of the projectile results in the longest range is found to be 45°.
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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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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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The initial and final velocities of a particle are shown in the figure below. Find the particle's average acceleration if the change in velocity takes place in a 11.5 s interval. (Let vi = 29.0 m/s and vf = 18.0 m/s.)
Answer:
To calculate the average acceleration of the particle, we use the formula a = (vf - vi)/t, where vf is the final velocity, vi is the initial velocity, and t is the time interval. In this case, a = (18.0 m/s - 29.0 m/s)/11.5 s = -2.3 m/s2. Therefore, the average acceleration of the particle is -2.3 m/s2.
the dwarf planet pluto has 1/500 the mass and 1/15 the radius of earth. what is the value of g (in m/s2) on the surface of pluto? use g
The value of g (gravity on the surface of Pluto is roughly [tex]0.632 m/s^2[/tex]
To find the value of g (speed increase because of gravity) on the surface of Pluto, we can utilize the condition:
[tex]g = GM/R^2,[/tex]
where G is the gravitational steady[tex](6.67 x 10^-11 m^3/kg s^2)[/tex], M is the mass of Pluto, and R is the radius of Pluto.
Since we realize that the mass of Pluto is 1/500 the mass of Earth and the radius of Pluto is 1/15 the range of Earth, we can utilize these qualities to work out g on Pluto.
To begin with, we'll find the mass of Pluto in kg by multiplying the mass of Earth [tex](5.972 x 10^{24} kg)[/tex] by 1/500:
[tex]M = 5.972 x 10^{24} kg * (1/500)[/tex] = [tex]1.1944 x 10^{22} kg[/tex][tex]1.1944 x 10^{22} kg[/tex]
Then, we'll find the radius of Pluto in meters by multiplying the radius of Earth (6,371 km) by 1/15:
R = 6,371 km * (1/15) = 424.73 km = 424,730 m
At long last, we can utilize these qualities to work out g on Pluto:
g = [tex](6.67 x 10^-11 m^3/kg s^2)[/tex] [tex]* (1.1944 x 10^{22} kg)/(424,730 m)^2[/tex]
[tex]g =[/tex] [tex]0.632 m/s^2[/tex]
So the acceleration due to gravity on the surface of Pluto is rough [tex]0.632 m/s^2[/tex], which is around 6.5% of the speed increase because of gravity on the earth.
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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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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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darcel runs the simulation for the large version of each object. what can he say in general about the energies of the objects in the simulation as they roll down the incline? (select all that apply.)
The total energy of the system remains constant and is equal to the gravitational potential energy of the object at the top of the incline.
What is gravitational potential energy?Gravitational potential energy is the energy stored in an object due to its position in a gravitational field. This energy is determined by the objects mass, height and the strength of the gravitational field. Gravitational potential energy increases as the object moves higher from the ground and its mass increases. Gravitational potential energy can be converted into kinetic energy when an object falls or moves down a slope.
The total kinetic energy of a rolling object is the sum of the rotational kinetic energy about the center of mass and the translational kinetic energy of the center of mass.
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Complete Question:
Darcel runs the simulation for the large version of each object. What can he say in general about the energies of the objects in the simulation as they roll down the incline? (Select all that apply.)
"The total energy of the system remains constant and is equal to the gravitational potential energy of the object at the top of the incline.""The total kinetic energy of a rolling object is the sum of the rotational kinetic energy about the center of mass and the translational kinetic energy of the center of mass.""The translational kinetic energy is always greater than the rotational kinetic energy.""The potential energy of the system remains constant, and is equal to the total energy."
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 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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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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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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David wrote Five $10 Checks and two check for 100 each
A force is required to keep a 5kg mass moving round a cycle of 3.5m at a speed of 7ms^-1. What is the speed of the force if tripled
The speed of the of the object if the force is tripled is 12.12 m/s.
What is the centripetal force?The centripetal force acting on an object moving in a circular path is calculated by applying the following formula as shown below.
F = mv² / r
where;
m is the mass of the objectv is the speedr is the radiusF = ( 5 x 7² ) / 3.5
F = 70 N
When the force is tripled, the new force becomes;
F' = 3 x 70 N
F' = 210 N
The new speed of the object is calculated as follows;
F = mv² / r
v² = Fr / m
v = √ ( Fr / m )
v = √ ( 210 x 3.5 / 5 )
v = 12.12 m/s
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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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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
If the charging collar has a positive charge, what will be the net charge on a droplet separating from the stream?
(a)Positive
(b)Negative
(c)Neutral
(d)The charge will depend on the type of cell
The net charge on a droplet separating from the stream will be (b) Negative.
How does the charge on a droplet affect its interaction with other charged objects?The charge on a droplet affects its interaction with other charged objects based on the principle of electrostatics, which states that like charges repel each other and opposite charges attract each other. A droplet that carries a positive charge will experience a repulsion force when it comes into contact with another positively charged object. On the other hand, a droplet that carries a negative charge will experience an attraction force when it comes into contact with a positively charged object. The strength of this interaction is dependent on the magnitude of the charges and the distance between the droplet and the other charged object.
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If all 152 million discarded phones in America were recycled, how many pounds of each mineral would be recovered?
Gold- _____pounds
Silver- ____ pounds
palladium- ______ pounds
Copper- _____ pounds
7,600
3,040,000
3,040
83,600
Please help asap!! Thank youuuuuu!
Gold 7,600 pounds, Silver 83,600 pounds, palladium 3,040 pounds and
Copper 3,040,000 pounds.
What is meant by pounds?
The name of a unit of currency is pound. Both presently and in the past, it was employed in many different nations.The Roman era on the continent of Europe is where the British pound first appeared. From the Latin word "poundus," which means "weight," comes its name. The elaborate L in Libra is where the £ sign originated. The pound, which represented one pound of silver weight, was a monetary unit in Anglo-Saxon England as early as 775 AD.The two units are equal because one lb is another term for one pound. 1 pound equals 1 lb. Actually, "lb" is an acronym for "pound."To learn more about pounds refer to
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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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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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define speed in your own words. why does a car speedometer only have positive values, even though you can move in reverse?
Speed is defined as the rate of change of distance over time. It has the dimension of distance x time. The SI unit of speed is a combination of the base unit of distance and the base unit of time. The SI unit for speed is meters per second.
Speed is the speed at which an object's position changes, measured in meters per second. For example, if an object starts at the origin and moves 3 meters in 3 seconds, its speed is 1 meter/second. A car's speedometer only has positive numbers, but it can run backwards. This is because it measures speed based on the distance the car travels, not the direction the car is heading.
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if the electric field at a distance r away from charge q is 36 n/c, what is the ratio of the electric fields at r, 2r, and 3r?
The ratio of electric fields at r, 2r, and 3r at a distance r away from the charge q is 36 n/c is calculated to be 36:9:4.
Every point in space where a charge, in whatever form, is present can be thought of as having an electric field surrounding it. An alternative name for an electric field is the electric force per unit charge.
The relation between electric field intensity, charge and distance is known to be E = k Q/r².
where, E is the electric field
r is the distance
It is clear that E ∝ 1/r²
If the distance is 1/2r, E = 1/(2r)² = 1/4r² = E/4
If the distance is 1/3r, E = 1/(3r)² = 1/9r² = E/9
In this problem, E is given as 36 n/c, so the ratio is 36/4 = 9 and 36/9 = 4
Hence, the required ratio is 36:9:4.
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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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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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