The white light strikes a black object, the light is completely absorbed and none of it is transmitted or reflected.
Light is a type of electromagnetic radiation that travels in straight lines. It is comprised of energy packets that can move through a vacuum. As light passes through a substance or hits an object, it can be affected in various ways.
The interaction between light and an object can be quantified using specific principles of optics.
Light reflection is a phenomenon in which light hits an object and bounces back from its surface.
When light hits a smooth surface like a mirror or water, it bounces back in a regular and predictable way. This type of reflection is called specular reflection.
When light strikes a rough surface, it is reflected in many different directions. This type of reflection is called diffuse reflection.
Therefore, when white light strikes an object and is completely absorbed, with none of it transmitted or reflected, the object can be a black object.
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a cylindrical steel bar is stretched a distance mm by a force of f in n. the beam was originally d mm in diameter, m long, and has a young's modulus of y n/m2. what is d in terms of the other variables?
The change in length of the cylindrical steel bar is given by: ΔL = F * L0 / (Y * π/4 * D^2)
From Hooke's law, we know that stress is proportional to strain, with the constant of proportionality being the Young's modulus (Y):
σ = Y * ε
Substituting for σ and ε, we get:
Y * ΔL / L0 = F / (π/4 * D^2)
Solving for ΔL, we get:
ΔL = F * L0 / (Y * π/4 * D^2)
Young's modulus is widely used in engineering and physics to design and analyze structures and materials. It is defined as the ratio of the stress applied to a material to the strain that results from that stress. Mathematically, Young's modulus can be expressed as E = σ/ε, where E is the Young's modulus, σ is the stress applied to the material, and ε is the resulting strain.
Young's modulus is a fundamental property of materials and can be used to predict how they will behave under different conditions. For example, materials with a high Young's modulus are stiffer and less elastic, while those with a low Young's modulus are more flexible and elastic.
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Complete Question: -
A cylindrical steel bar is stretched a distance ΔL mm by a force of F in N. The beam was originally D mm in diameter, L0m long, and has a Young's modulus of Y N/m^2. What is ΔL in terms of the other variables? Note: You may use the equation editor (Insert>Equation) to answer this question, but it is not required. However, if you choose to write your variable answer in plain text, be very careful about your parentheses!
a toy monkey hangs from a hook a certain height above the ground. you fire a projectile at the same instant that the monkey drops and starts falling to the ground. in order to hit the monkey with the projectile, you need to
In order to hit the monkey with the projectile, you need to Aim higher than the monkey's original position.
Projectile motion is the kind of motion in which an object or body is propelled in the air at an angle to the horizontal plane. The motion is caused by gravity and can be seen in many real-world situations. The path of the projectile is referred to as its trajectory.
The given problem is based on projectile motion. A toy monkey hangs from a hook a certain height above the ground. You fire a projectile at the same instant that the monkey drops and starts falling to the ground. In order to hit the monkey with the projectile, you need to aim higher than the monkey's original position. This is because, as the projectile moves toward the ground, it will fall under the influence of gravity. Hence, the projectile needs to be aimed at a higher point than the monkey's initial position.
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in parallel circuits, when all resistors are of equal value the total resistance is equal to the value of one individual resistor . a. multiplied by the voltage b. divided by the voltage c. divided by the number of resistors d. multiplied by the number of resistors
In parallel circuits, when all resistors are of equal value, the total resistance is equal to the value of one individual resistor C. divided by the number of resistors.
The electrical circuits come in two primary forms - series and parallel. A parallel circuit is defined as a circuit in which the resistors are arranged in a way that they have the same potential difference or voltage across them. This implies that every component of the circuit gets the same amount of voltage. The basic principle of a parallel circuit is that every resistor gets the same amount of voltage.
When the voltage of the circuit is calculated, each component of the circuit has the same voltage. The voltage rating of each component is identical in a parallel circuit. According to Ohm's law, the resistance in a parallel circuit is inversely proportional to the current. The more the number of resistors in the circuit, the smaller the resistance of the circuit.
This means that the total resistance of a parallel circuit is always less than the resistance of the smallest resistor in the circuit. Therefore, when all the resistors are of equal value, the total resistance is equal to the value of one individual resistor divided by the number of resistors. In other words, R(total) = R(1) / n, where n is the number of resistors. Therefore the correct option is C
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a hard billiard ball elastically collides with another hard billiard ball of equal mass. which situation is possible?
In an elastic collision, the total kinetic energy and momentum of the system are conserved. So, in the case of a hard billiard ball elastically colliding with another hard billiard ball of equal mass,
There are two possible situations that can occur. These situations are as follows:
When the two hard billiard balls collide head-on and return with equal speed.When the two hard billiard balls collide at an angle, they deflect at the same angle, and their speed remains the same.
Elasticity refers to the ability of a substance to return to its original shape and size when an external force is applied to it.
Elasticity is an essential concept in the field of physics and is used to describe the behavior of materials under stress.The coefficient of restitution is a measure of the elasticity of an object.
It is defined as the ratio of the relative speed of separation to the relative speed of approach after a collision between two objects.
The coefficient of restitution ranges from 0 to 1, with 0 representing a completely inelastic collision and 1 representing a completely elastic collision.
When two hard billiard balls elastically collide, they can either collide head-on and return with equal speed or collide at an angle and deflect at the same angle while maintaining the same speed.
Elasticity is a fundamental concept that is used to describe the behavior of materials under stress. The coefficient of restitution is a measure of the elasticity of an object.
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what is the relationship between weight and best range airspeed (vbr) and best endurance airspeed (vbe)?
The relationship between weight and best range airspeed (VBR) and best endurance airspeed (VBE) is that both VBR and VBE increase with an increase in weight.
What is best range airspeed (VBR)? Best range airspeed (VBR) refers to the airspeed at which an aircraft can cover the maximum possible distance with minimum fuel consumption. At this airspeed, the lift-to-drag ratio is the highest.
What is best endurance airspeed (VBE)? Best endurance airspeed (VBE) refers to the airspeed at which an aircraft can remain in the air for the longest possible time with minimum fuel consumption. At this airspeed, the lift-to-drag ratio is the highest.
Relationship between weight and VBR and VBE is that both VBR and VBE increase with an increase in weight.
An increase in weight means an increase in the required lift to keep the aircraft in the air. As a result, the airspeed at which the lift-to-drag ratio is the highest increases.
This is why both VBR and VBE increase with an increase in weight.
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a 110-v hair dryer is rated at 1200 w. what current will it draw? select one: a. 12 a b. 0.090 a c. 11 a d. 5.0 a e. 1.0 a
A 110-v hair dryer is rated at 1200 w. it will draw a current of C. 11 A
The current drawn by a 110-V hair dryer is determined by Ohm's Law.
Ohm's Law states that I = V/R, where I is the current, V is the voltage, and R is the resistance. In this case, the voltage is 110 V and the resistance is 1200 W
So I = 110/1200 = 0.09 A.
Since the current is measured in amperes (A), the current drawn by the hair dryer is 0.09 A, or 11 A.
Therefore, the current drawn from a 110-v hair dryer that is rated at 1200 w. is 11 A
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Jack and Jill are maneuvering a 3200 kg boat near a dock. Initially the boat's position is <2, 0, 3> m and its speed is 1.6 m/s. As the boat moves to position <6, 0, 1> m, Jack exerts a force of <-440, 0, 220> N, and Jill exerts a force of <150, 0, 300> N.
How much work does Jack do?
WJack = J
How much work does Jill do?
WJill = 0 J (correct)
What is the final speed of the boat?
vf = m/s
Jack does -1967.4 J of work on the boat.
There are four steps to get the final value:
First, we can use the work-energy principle
This states that the net work done on an object is equal to its change in kinetic energy.
We can also use Newton's second law, which relates the net force on an object to its acceleration:
F = ma
where F is the net force acting on the boat,
m is its mass, and
a is its acceleration.
To calculate the net force, we need to add up the individual forces exerted by Jack and Jill:
F= Fjack+ Fjill
where Fjack is the force exerted by Jack, and Fjill is the force exerted by Jill.
The net force can be calculated as:
F = <-440, 0, 220> + <150, 0, 300>
= <-290, 0, 520> N
Second, The boat's acceleration can be calculated using Newton's second law:
F= ma
a = F / m
a = <-290, 0, 520> / 3200
a = <-0.0906, 0, 0.1625> m/s^2
Third, The boat's final velocity can be calculated using its initial velocity, its acceleration, and the displacement:
vf^2 = vi^2 + 2ad
where vi is the initial velocity,
a is the acceleration,
d is the displacement, and
vf is the final velocity.
The displacement can be calculated as:
d = |<6, 0, 1> - <2, 0, 3>
= |<4, 0, -2>
= sqrt(4^2 + 0^2 + (-2)^2)
= 4.47 m
Plugging in the values, we get:
vf^2 = (1.6 )^2 + 2 * (-0.0906 ) * 4.47
= 1.89
= 1.37 m/s
Therefore, the final speed of the boat is 1.37 m/s.
Fourth, To calculate the work done by Jack, we can use the formula:
W = F * d
where F is the force exerted by Jack, and
d is the displacement of the boat.
Plugging in the values:
W = <-440, 0, 220> * 4.47
W = -1967.4 J
Therefore, Jack does -1967.4 J of work on the boat.
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a stationary probe is placed in a fluid flow and measures pressure and temperature as functions of time at one location in the flow. is this a lagrangian or an eulerian measurement? explain.
A stationary probe placed in a fluid flow that measures pressure and temperature at one location in the flow is an Eulerian measurement.
An Eulerian measurement is a measurement made at a fixed point in space and time. The probe records the changes in pressure and temperature that occur over time as the fluid flows past the fixed point.
This type of measurement is useful for understanding the behavior of the fluid at a particular location, but it does not provide information about the individual fluid particles.
On the other hand, a Lagrangian measurement is a measurement that follows the movement of an individual fluid particle over time.
This type of measurement is useful for understanding the path that a particular fluid particle takes through the fluid.
Overall, the use of Eulerian and Lagrangian measurements depends on the type of information required about the fluid flow.
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you have a mass of 50 kg and are pushed by a 100n force. on the surface of which planet would you have the largest acceleration?
On the surface of Jupiter, you would have the largest acceleration as it has the largest gravity, where a body with mass 50kg and force 100 N would experience an acceleration equal to 2 m/s². in general.
We are given that,
Force, F = 100N
Mass, m = 50 kg
According to Newton's second law of motion, force is gievn as the product of mass and acceleration, thus:
Acceleration, a = F/m
= 100/50
=2 m/s².
Thus, in general, an object with mass 50 kg and force applied as 100 N would have an acceleration equivalent to 2m/s².
On Earth, the gravitational force of the planet causes falling objects to accelerate by 9.8 m/s2, or 1 g. The best approach to explain the gravitational force on other planets is to express it as a percent of Earth's g-force.
As the largest planet, Jupiter should have the strongest gravitational pull, and this is really the case. Thus, an object would face the largest acceleration due to gravity on the planet Jupiter.
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tarzan grabs a vine hanging vertically from a tall tree when he is unning horizontally at 9.0m/s. how high can he swing upward
Tarzan grabs a vine hanging vertically from a tall tree when he is running horizontally at 9.0m/s. 4.12 m high Tarzan can swing upward.
This question can be solved using the principle of conservation of energy.
Conservation of energy principle:
The conservation of energy principle states that the total energy of an isolated system remains constant. That is, energy can neither be created nor destroyed. It can only be transformed from one form to another. Therefore, the initial total energy of the system is equal to the final total energy of the system.
Initially, Tarzan has kinetic energy. When he grabs the vine, some of his kinetic energy is transformed into potential energy. When he reaches the highest point of his swing, all his kinetic energy is transformed into potential energy. At this point, he has zero kinetic energy and maximum potential energy.
When he is at his maximum height, he is in equilibrium. Therefore, his velocity is zero. The gravitational potential energy of Tarzan is given as follows:
G.P.E = mgh
Where m = 75 kg (approximate mass of Tarzan)
g = 9.8 m/s² (acceleration due to gravity)
h = maximum heightWe know that the velocity of Tarzan is horizontal.
Therefore, it is perpendicular to the gravitational force acting on him. The component of velocity perpendicular to the gravitational force is zero. Therefore, only the horizontal velocity of Tarzan is considered.
Considering the conservation of energy principle, the initial total energy is equal to the final total energy.
Energy before = Energy after
Initial Kinetic Energy + Initial Gravitational
Potential Energy = Final Kinetic Energy + Final Gravitational Potential Energy
Energy before = Energy after = ½ mv² + mgh = 0 + mgh½ mv² = mghV = √(2gh)
Where V is the velocity of Tarzan when he reaches the maximum height.
Since the velocity of Tarzan is given as 9.0 m/s, we can say that:
9.0 m/s = √(2gh)
9.0² = 2gh
81 = 2gh
h = 81 / (2g)
h = 81 / (2 × 9.8)m
h ≈ 4.12m
Thus, Tarzan can swing upward up to approximately 4.12 m.
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a 4n soccer ball sits motionless on a field. a player's foot exerts a force of 5n on the ball for a distance of 0.1 m, and the ball rolls a distance of 10m. how much kinetic energy does the ball gain from the player?
The kinetic energy the ball gain from the player is 0.5 Joules if the player's foot exerts a force of 5n on the ball for a distance of 0.1 m.
The given data is as follows:
Force = 5N
Distance = 0.1 m
The ball rolls a distance = 10 m
The problem is calculated by using the kinetic energy which states that the work done on any object which is at rest or in motion is equal to the change in its kinetic energy of the body.
W = ΔK
W = Fd cos(θ)
W = (5 N)(0.1 m) cos(0°)
W = 0.5 J
Therefore we can conclude that the kinetic energy the ball gain from the player is 0.5 Joules.
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10. does the vertical speed of a segment of a horizontal taut string through which a sinusoidal, transverse wave is propagating depend on the wave speed of the transverse wave?
The vertical speed of a segment of a horizontal taut string through which a sinusoidal, transverse wave is propagating depends on both the wave speed and the amplitude of the transverse wave.
The transverse wave and wave speed for vertical speed of a segment also depends on factors like:
The wave speed of a transverse wave on a string is determined by the tension in the string and the mass per unit length of the string, as well as the properties of the medium through which the wave is propagating. This wave speed does not directly determine the vertical speed of a segment of the string.However, the amplitude of the transverse wave does affect the vertical speed of a segment of the string. The greater the amplitude of the wave, the greater the maximum vertical displacement of the string from its rest position, and thus the greater the vertical speed of a segment of the string at that point.The vertical speed (v) of a segment of a horizontal taut string through which a sinusoidal, transverse wave is propagating can be expressed mathematically as: v = Aωcos(ωt)where 'A' is the amplitude of the transverse wave,
'ω' is the angular frequency of the wave,
't' is the time, and
'cos' is the cosine function.
The wave speed [tex](v_w)[/tex]of a transverse wave on a string is given by: [tex]v_w[/tex] = [tex]\sqrt{(T/u)[/tex]where 'T' is the tension in the string and
'u' is the mass per unit length of the string.
So while the wave speed does not directly determine the vertical speed of a segment of the string, it does affect the angular frequency of the wave (which is related to the wave speed) and thus indirectly affects the vertical speed of a segment of the string through the amplitude of the wave.
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steam is to be extracted at a point between the high and low pressure turbines at a pressure that are to determine. the extracted steam will be isobarically heat-exchanged to supply the process hot water and exit the heat exchanger as saturated liquid. this liquid is then throttled to the condenser pressure and mixed with the fluid exiting the lowpressure turbine. the fuel will be natural gas which has a higher heating value (hhv) of 23,860 btu/lbm and an availability of 21930 btu/lbm. the boiler efficiency based on the hhv is 0.85. heat losses from the turbines, pump and lines are assumed negligible and the generator efficiency may be assumed to be 0.90. neglect pressure drops in the piping and heat exchangers.
Steam, Heat Exchange, Natural Gas, Throttle The steam is extracted between the high and low pressure turbines at a pressure to be determined, which is then isobarically heat exchanged with the process hot water, exiting the heat exchanger as a saturated liquid. This liquid is then throttled to the condenser pressure and mixed with the fluid exiting the low-pressure turbine.
To calculate the power output of the system, the energy and mass balances for the process must be established. These balances can be used to calculate the mass flow rate of the natural gas, the mass flow rate of the steam, the heat input and the power output. In addition, the properties of the natural gas can be used to calculate the enthalpy of the inlet gas, the enthalpy of the steam, and the enthalpy of the inlet air.
The energy balance equation states that the total energy entering the system is equal to the total energy leaving the system. The mass balance equation states that the total mass entering the system is equal to the total mass leaving the system. From these two equations, the enthalpy of the steam and the mass flow rate of the natural gas can be calculated.
The heat input to the system is equal to the total enthalpy of the steam plus the enthalpy of the natural gas. The power output of the system is equal to the heat input multiplied by the efficiency of the generator. This can be used to calculate the power output of the system.
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what two forces act on a monkey hanging stationary by a vertical vine? which force, if either, is greater?
Two forces act on a monkey hanging stationary by a vertical vine: gravity and the tension of the vine. Gravity is the greater force in this situation because it is a constant force that acts downwards.
The two forces that act on a monkey hanging stationary by a vertical vine are tension and gravity. The tension force acts along the vine and pulls the monkey upwards, while the gravity force acts downwards towards the center of the Earth.
If the monkey is stationary, then the two forces are equal in magnitude and opposite in direction. This is because the tension force is balancing the gravity force, resulting in no net force acting on the monkey.
Therefore, if neither of the forces are greater than the other as they are equal in magnitude and opposite in direction.What is tension force?The force exerted by a string, rope, chain, or similar object on another object that it is connected to is referred to as tension. The tension is always directed along the length of the string and away from the object's surface that the string is attached to. When an object is suspended from a rope, the tension force on the rope is equal to the weight of the object (due to gravity), and this tension force is transmitted through the rope to any other objects that the rope is attached to.
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periodic waves are produced by a wave generator at the rate of one wave every 0.50 seconds. what is the period of the wave
The period of a wave is the time it takes for one complete cycle of the wave to occur. In this case, the wave generator produces one wave every 0.50 seconds. Therefore, the period of the wave is also 0.50 seconds.
Periodic waves are waves that repeat in a regular and predictable pattern over time. The period of a periodic wave is the time it takes for one complete cycle of the wave to occur. It is represented by the symbol "T" and is measured in seconds.
The period of a wave can be determined by measuring the time it takes for two consecutive corresponding points on the wave to pass a given point.
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which of the choices below correctly lists things in order from largest to smallest? a) local group, solar system, milky way, universe b) universe, milky way, local group, solar system c) solar system, local group, universe, milky way d) universe, local group, milky way, solar system e) milky way, universe, solar system, local group
The choices below correctly lists things in order from largest to smallest, is D) universe, local group, milky way, solar system.
The universe is the largest structure in existence, followed by the local group of galaxies (which contains our Milky Way), followed by the milky way itself, and finally the solar system which is the smallest structure.
In terms of scale, the universe is far larger than any other structure, containing billions of galaxies and stars within it. The local group is a cluster of galaxies containing around 54 galaxies, of which our milky way is one. The milky way is itself a large collection of stars and planets, including our solar system which contains the planets and moons of our own solar system. So, in summary, the correct ordering from largest to smallest is Universe, Local Group, Milky Way, Solar System.
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a compressed spring is pushing a block across a rough horizontal table. how many force vectors would be shown on a free-body diagram? name them
When a compressed spring is pushing a block across a rough horizontal table, a free-body diagram shows four force vectors. They are named weight, normal force, the force of friction, and the force of the spring.
What are the four force vectors?
Weight: It is the gravitational force of attraction that the earth exerts on an object. Its direction is always down.
Normal force: It is the force exerted by the surface of the object on which the other object rests. Its direction is always perpendicular to the surface.
The force of friction: It is the force that opposes the motion of the object on the surface due to the microscopic interaction between the surfaces of the two objects. Its direction is always opposite to the direction of the object's motion.
The force of the spring: It is the force exerted by the spring on the object, and its direction is always in the opposite direction of the spring's compression.
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Can you guys help me on this??
Answer:
A
Explanation:
It is based on the theory of J. J. Thomson
A 65-kilogram student travels down a staircase that is 12 meters high. What is the
gravitational potential energy of the student after traveling 5.0 meters?
Answer:
3900 m/J
Explanation:
gravitional potential energy = mass x gravitentional field x hieght
U = mgh
U = 65 x 5.0 x 12 = 3900
U = 3900 m/J
a ball is thrown vertically upward from a height of 4 feet with an initial velocity of 50 feet per second. how high will the ball go?
The ball will reach a maximum height of 86 feet.
The ball is thrown vertically upward with an initial velocity of 50 feet per second.
Using the equation v2 = u2 + 2as, the maximum height that the ball will reach can be calculated as:
s = (v2 - u2) / 2a
where s is the maximum height, v is the final velocity, u is the initial velocity, and a is the acceleration due to gravity (9.81 m/s2).
Plugging in the values for u and v, we get s = (502 - 02) / 2(9.81) = 86 feet.
Therefore, the maximum height the ball will reach is 86 feet.
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explain how different wavelengths of the electromagnetic spectrum are used to gain information about distances and properties of components in the universe
Different wavelengths of the electromagnetic spectrum can be used to gain information about distances and properties of components in the universe through various astronomical observations and measurements.
What is Electromagnetic Spectrum?
The electromagnetic spectrum is a range of all the types of electromagnetic radiation, which includes radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. It encompasses all the wavelengths and frequencies of electromagnetic radiation.
For example, visible light, which is a small portion of the electromagnetic spectrum, is used to observe the visible features of celestial bodies such as stars, planets, and galaxies. By analyzing the brightness, color, and spectrum of visible light emitted or reflected by these objects, astronomers can learn about their temperature, composition, and motion.
Infrared radiation, which has longer wavelengths than visible light, can penetrate through the interstellar dust and gas that block visible light. This allows astronomers to study the hidden regions of the universe, such as the centers of galaxies and the early universe, and detect cold objects like protestors and dust clouds.
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consider an electron gun with an accelerating potential of 288 v. what is the wavelength of the emitted electrons? enter the wavelength in nm unit
The wavelength of the emitted electrons is: equal to 1.83915 × 10^-9 m, or 1.83915 nm.
The wavelength of electrons emitted from an electron gun with an accelerating potential of 288 V can be calculated using the following equation:
λ = h/√(2mV)
where h is Planck's constant (6.62607 × 10^-34 m2 kg/s), m is the mass of the electron (9.10938 × 10^-31 kg) and V is the accelerating potential of the electron gun (288 V).
Therefore, the wavelength of the emitted electrons is equal to 1.83915 × 10^-9 m, or 1.83915 nm. This calculation is based on the de Broglie equation, which states that matter, including electrons, has wave-like properties and can be described using a wave equation.
According to the de Broglie equation, particles with a given mass and velocity have a wavelength that can be calculated by dividing Planck's constant (h) by the square root of twice the mass of the particle multiplied by its velocity. This equation is commonly used to calculate the wavelength of electrons emitted from an electron gun.
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For the circuit shown in Fig. E26.7 find the reading of the idealized ammeter if the battery has an internal resistance of 3.26 ohm
The idealised ammeter and the 3 ohm resistor are connected in series, and they both get the same current. As a result, 2.13 A is likewise the idealized ammeter's reading.
What is the optimal ammeter's internal resistance?An perfect ammeter's internal resistance is zero, whereas an ideal voltmeter's internal resistance is infinite.
The following formula can be used to get the parallel resistors' equivalent resistance:
1/Req = 1/12 + 1/9
1/Req = 3/36 + 4/36
1/Req = 7/36
Req = 36/7 ≈ 5.14 ohms
Now that the circuit has the equivalent resistance, we can redisplay it:
The circuit's overall current is determined by:
I = V / (Rint + Req)
I = 18 / (3.26 + 5.14)
I ≈ 2.13 A.
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The large positive charge inside the shell causes equal in magnitude charges distributed on the inner and outer surfaces of the spherical shell. which of the following figures best represents the charge distribution on the inner and outer walls of the shell? (figure 1) view available hint(s)for part a the large positive charge inside the shell causes equal in magnitude charges distributed on the inner and outer surfaces of the spherical shell. which of the following figures best represents the charge distribution on the inner and outer walls of the shell? a. 1 b. 2 c. 3 d. 4 e. 5
Figure 1 best represents the charge distribution on the inner and outer walls of the spherical shell.
This is because the large positive charge inside the shell causes the equal and opposite charges to be distributed on the inner and outer surfaces of the shell. The charges will be evenly distributed on both the inner and outer walls, which is what is depicted in figure 1.
The other figures show irregular and/or unequal distributions of charges on the inner and outer walls of the shell, which would not be the case if the large positive charge was evenly distributed over the inner and outer walls. Therefore, figure 1 best represents the charge distribution on the inner and outer walls of the shell.
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what must the tension in each cable be in the diagram in order to order to support the cargo in static equilibrium?
The tension in each cable must be equal to the mass of the cargo multiplied by the acceleration due to gravity, and divided by the number of cables.
In order to determine the tension in each cable required to support the cargo in static equilibrium, we can use Newton's Second Law of Motion.
This law states that the sum of the forces acting on an object must be equal to the object's mass multiplied by its acceleration.
The tension in each cable (T) must be equal to the weight of the cargo (W) divided by the number of cables (n).
So the equation would be:
T = W/n.
To find the value of T, we can use the formula
W = mg
where m is the mass of the cargo and g is the acceleration due to gravity.
Plugging this into the equation for T, we have:
T = mg/n.
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a 3.0 a current is set up in a circuit for 3.0 min by a rechargeable battery with a 9.0 v emf. by how much is the chemical energy of the battery reduced?
The chemical energy of the rechargeable battery is reduced by 27 joules when a 3.0 A current is set up in the circuit for 3.0 minutes.
This can be calculated by multiplying the battery's emf, 9.0 V, with the amount of current, 3.0 A, and the time it was set up, 3.0 minutes, to get the amount of electrical energy in joules (J):
E = I x V x t
= 3.0 A x 9.0 V x 3.0 min
= 81 J
The chemical energy of the battery can be calculated by subtracting the electrical energy from the total energy of the battery, which is 108 J. Thus, the chemical energy of the battery is reduced by 27 J when the current is set up in the circuit:
E(chemical) = E(total) - E(electrical)
= 108 J - 81 J
= 27 J
In conclusion, the chemical energy of the battery is reduced by 27 joules when a 3.0 A current is set up in the circuit for 3.0 minutes.
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grandma dynamite accelerates her bus from a stop to 90 m/s in just 12 seconds. what is her acceleration?
Grandma dynamite's bus has an acceleration of 7.5 m/s².
acceleration = (final velocity - initial velocity) / time
where the final velocity is 90 m/s, the initial velocity is 0 m/s (since the bus starts from a stop), and the time taken is 12 seconds.
acceleration = (90 m/s - 0 m/s) / 12 s
acceleration = 7.5 m/s²
Acceleration is a fundamental concept in physics that describes the rate of change of an object's velocity over time. It is defined as the change in velocity divided by the change in time, and is expressed in units of meters per second squared (m/s²).
Acceleration can occur in different ways, such as speeding up or slowing down, changing direction, or a combination of both. A positive acceleration means an object is speeding up, while a negative acceleration means it is slowing down. Acceleration also depends on the mass of the object, with a larger mass requiring a greater force to achieve the same acceleration as a smaller mass.
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g which of the following wavelengths of light is most likely to cause a sunburn? explain your answer. a. 700 nm b. 400 nm c. 200 nm
Answer:
(b) 400 nm is the far ultraviolet (violet) in the visible spectrum
The shorter wavelengths are more likely to cause sunburn.
200 nm is probably too short to be transmitted by the atmosphere
what will you use to find the mg of starch for the first time course, ph, and temperature experiments? [4 pts]
To find the mg of starch for the first time course, ph, and temperature experiments, you will use the iodine-starch complex formation reaction
The iodine-starch complex formation reaction is a quantitative measure of the starch concentration in the sample. The blue-black color produced is proportional to the starch concentration in the sample. If the concentration of the sample is high, the reaction will be intense, and the color will be dark blue-black. The reaction will be less pronounced if the concentration of the sample is low, and the color will be pale blue-black. When performing a starch assay, this color intensity is compared to that of a standard starch solution of known concentration to determine the concentration of starch in the sample.
The following steps must be followed to perform this analysis, 1. Dissolve the 1 mg of starch sample in 1 mL of distilled water, and adjust the pH to 7.0.2. Add 1 mL of the iodine solution (0.002 M iodine and 0.04 M KI), followed by the addition of 5 mL of 1 N hydrochloric acid. 3. Dilute the solution to 25 mL with distilled water, and mix well. 4. Measure the absorbance of the solution at 620 nm against a distilled water blank. The starch concentration in the sample can be calculated by comparing the absorbance of the sample with that of a standard solution of known concentration.
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a rock attached to a string swings in a vertical circle. which free body diagram could correctly describe the force(s) on the rock when the string is in one possible horizontal position?
The correct free body diagram that describes the forces on the rock when the string is in one possible horizontal position is B.
As the rock swings in a vertical circle, there are a number of forces acting upon it. These forces are gravity, tension and centrifugal force. When the rock is in a horizontal position, its weight will be perpendicular to the tension force. This makes the tension force the only force acting upon the rock in the horizontal position.
As a result, the correct free body diagram that describes the forces acting on the rock when the string is in one possible horizontal position is B.
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