The change in potential energy of the system during this time interval is -648 nJ.
The change in potential energy of a particle with charge q that moves from a point with potential V1 to a point with potential V2 is given by:
ΔPE = q x (V2 - V1)
where q is the charge of the particle, and
V2 and V1 are the potentials at the final and initial positions.
Therefore, the charge of the particle is 18 nC, and it moves from a point with potential V1 = 46 V to a point with potential V2 = 10 V.
Therefore, the change in potential energy is:
ΔPE = q x (V2 - V1) = 18 nC x (10 V - 46 V) = -648 nJ
The negative sign indicates that the potential energy of the particle has decreased, which means that the particle has lost potential energy as it moved from the point with higher potential to the point with lower potential.
Therefore, the change in potential energy of the system during this time interval is -648 nJ
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A stone hits the bottom of an old mineshaft that is 210 m deep. If the temperature in the mineshaft is 10°C, how many seconds pass before the sound is heard at the top of the mine shaft?
The speed of sound in air at 10°C is approximately 343 meters per second. Let's use the formula:
distance = speed x time
We want to find the time it takes for the sound to travel 210 meters to the top of the mineshaft. So we can rearrange the formula to solve for time:
time = distance ÷ speed
Plugging in the values we have, we get:
time = 210 ÷ 343
time ≈ 0.612 seconds
Therefore, it takes approximately 0.612 seconds for the sound to travel from the bottom to the top of the mineshaft.
The semiconductor cdse has a bandgap of 1. 74 ev. What wavelength of light would be emitted from an led made from cdse? what region of the electromagnetic spectrum is this?
The required wavelength is calculated to be 715 nm and it belongs to infrared region.
The band-gap of the semiconductor cdse is given as 1.74 ev.
The equation of Planck is mathematically written as,
E = h c /λ
where,
h is planck's constant
c is speed of light
λ is wavelength
E is energy/band-gap
Converting electron volts to joules we should multiply by 1.6 × 10⁻¹⁹ J
Putting all the known values and making wavelength as subject,
λ = h c /E = (6.626 × 10⁻³⁴× 3 ×10⁸)/(1.74× 1.6 × 10⁻¹⁹) = (19.88 × 10⁻²⁶)/(2.78× 10⁻¹⁹) = 7.15 × 10⁻⁷ m = 715 × 10⁻⁹ m = 715 nm
By looking into the wavelengths of electromagnetic spectrum, we can say that this wavelength belongs to infrared.
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a message signal has a bandwidth of 30 khz. efficient radiation from an antenna requires that the antenna length be at least a tenth of the transmitted signal wavelength. determine the minimum antenna length for efficient radiation if: (a) it is to be broadcast without the benefit of modulation, (b) it is broadcast after it is amplitude-modulated with a sinusoidal carrier having a frequency that is 100 times the bandwidth of the message signal
The minimum antenna length for efficient radiation if it is to be broadcast without the benefit of modulation is 2000 meters and broadcast after it is amplitude-modulated with a sinusoidal carrier having a frequency that is 100 times the bandwidth of the message signal is 9.87 meters.
To determine the minimum antenna length for efficient radiation, we need to calculate the wavelength of the transmitted signal first.
(a) The given bandwidth of the signal is 30 kHz, which means that the signal occupies a frequency range from f - 15 kHz to f + 15 kHz,
where f is the center frequency of the signal.
Since the signal is broadcast without modulation, its bandwidth is equal to its frequency, so the center frequency is 15 kHz.
The minimum antenna length for efficient radiation is given by: Antenna Length = (1/10) x Wavelength
where Wavelength = Speed of light / Frequency
The speed of light is approximately 3 x 10⁸ meters per second.
Therefore, the wavelength of the signal is:
Wavelength = Speed of light / Frequency = 3 x 10⁸ / 15,000 = 20,000 meters
The minimum antenna length for efficient radiation is then:
Antenna Length = (1/10) x Wavelength = (1/10) x 20,000 = 2000 meters
Therefore, the minimum antenna length for efficient radiation without modulation is 2000 meters.
(b) The message signal is amplitude-modulated with a sinusoidal carrier having a frequency that is 100 times the bandwidth of the message signal.
This means that the carrier frequency is 100 x 30 kHz = 3 MHz.
The bandwidth of the transmitted signal is then the sum of the carrier frequency and the message signal bandwidth, which is 3 MHz + 30 kHz = 3.03 MHz.
Using the same formula as in part (a), we can calculate the wavelength of the transmitted signal:
Wavelength = Speed of light / Frequency = 3 x 10⁸ / 3.03 x 10⁶ = 98.68 meters
The minimum antenna length for efficient radiation is then:
Antenna Length = (1/10) x Wavelength = (1/10) x 98.68 = 9.87 meters
Therefore, the minimum antenna length for efficient radiation after modulation with a sinusoidal carrier is 9.87 meters.
The minimum antenna length for efficient radiation without modulation is 2000 meters and the minimum antenna length for efficient radiation after modulation with a sinusoidal carrier is 9.87 meters.
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The water is reflecting light, Is this specular or diffuse reflection? explain your answer
The type of reflection occurring when light hits a surface can be determined by observing how the light is scattered.
Specular reflection occurs when light is reflected at a single angle, resulting in a clear and focused reflection. On the other hand, diffuse reflection occurs when light is scattered in many directions, producing a blurred or hazy reflection.
In the case of water reflecting light, it is likely that the reflection is a combination of both specular and diffuse reflection. When the water surface is smooth and still, light is reflected at a specific angle, resulting in a clear and focused reflection.
This is specular reflection. However, when the surface of the water is disturbed, the reflection becomes scattered and blurred, which is characteristic of diffuse reflection.
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what dissolves in water burns in flames and a chemical property
The answer is a salt. Salts are ionic compounds that are composed of positively and negatively charged ions.
When dissolved in water, the ions separate and the salt dissolves. Salts also have a high melting point and when heated, they decompose into their constituent elements, producing a flame. This is a chemical property known as thermal decomposition.Thermal decomposition is a type of chemical decomposition induced by the application of heat. It is a specific type of chemical decomposition in which molecules of a compound are broken down into smaller molecules or elements. Thermal decomposition is often used in industry to produce useful chemicals, such as chlorine from table salt, and for the production of metals and alloys from ore.
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Use the table below to answer this question.
Distance (mm) Electric Force (N)
1 243
3 27
5 10
7 5
9 3
A scientist measured the distance between two positively-charged objects, and determined the electric force between them. Based on the data in the table above, which of the following statements is true?
A
As the size of the objects increases, the size of the electric force between them decreases.
B
As the distance between the objects increases, the size of the electric force decreases.
C
The size of the electric force is constant.
D
As the distance between the objects increases, the objects become more positively charged.
As the distance between the objects increases, the size of the electric force decreases.
What is an electric ?Electricity is a form of energy that results from the movement of charged particles, such as electrons or ions. It is the flow of electric charge through a conductor, which can be used to power devices and machines. Electric phenomena occur naturally, such as in lightning strikes, but can also be harnessed and controlled for practical applications, including lighting, heating, and communication.
What is a distance ?Distance refers to the physical length between two points or objects, measured in units such as meters, kilometers, miles, or inches. It is a scalar quantity that only has magnitude and no direction. Distance can be measured using various tools and methods, such as rulers, odometers, or GPS devices.
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The figure shows three objects that are all made of the same material. The forces applied to the three objects all have the same magnitude.
Order the objects according to the shear stress acting on them, from greatest to least.
a) (iii) > (i) = (ii)
b) (i) = (ii) > (iii)
c) (i) > (iii) > (ii)
d) (i) > (ii) = (iii)
e) (i) > (ii) > (iii)
Shear stress is tangential tension that results from fluid moving against resistance against a solid surface. therefore (iii) > (i) = (ii) option a).
What is tangential shear stress?An item experiences deformation when an exterior force works upon it. if the force's orientation is parallel to the object's surface. Along that line, there will be a distortion. The item in this instance is under tensile or tangential tension.
The stress an object experiences is known as shearing stress or tangential stress when the path of the deforming force or exterior force is parallel to the cross-sectional area.
Shear stress results from forces that are parallel to and reside in the plane of the cross-sectional area, whereas normal stress results from forces that are perpendicular to a cross-sectional area of the substance.
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a ball player wishes to determine pitching speed by throwing a ball horizontally from an elevation of 5 m above the ground. the player sees the ball land 20 m down range. what is the player's pitching speed?
The pitching speed of the player to cover a horizontal distance of 20 m when the ball is thrown horizontally from a height of 5 m is 19.82 m/s.
To find the pitching speed, we need to use the kinematic equation, which relates the distance traveled by an object to its initial velocity and the time it takes to travel that distance.
Since the ball is thrown horizontally, we can assume that the initial velocity of the ball is horizontal and the acceleration of the ball is vertical due to the force of gravity.
Using the equation of motion for the horizontal motion:
distance = speed × time
Since the ball is thrown horizontally, there is no initial vertical velocity, so the initial velocity is zero.
Therefore, distance = speed × time
time = distance/speed
Using the equation of motion for the vertical motion:
[tex]distance = initial \ velocity \times time + (1/2) \times acceleration \times time^2[/tex]
Since the ball is thrown horizontally, the initial vertical velocity is zero, and the acceleration due to gravity is 9.81 m/s² (since it is acting downward).
Therefore, [tex]distance = (1/2) \times (9.81) \times time^2[/tex]
[tex]time^2 = 2 \times distance/9.81[/tex]
[tex]time = \sqrt{2 \times distance / acceleration}[/tex]
Substituting the values
[tex]time = \sqrt{2\times(5/9.81)} = 1.009 s[/tex]
Now, substituting the value of time in the horizontal motion equation:
[tex]speed = distance/time[/tex]
[tex]speed = 20/1.009 = 19.82\ m/s[/tex]
Speed = 19.82 m/s
Therefore, the player's pitching speed is 19.82 m/s.
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urgent needed help please please
Answer:
Distance from center and mass
Explanation:
Gravity force is determined by the distance from the center of the object, and the mass of the object (so distance and time) speed and acceleration have no effect on the gravity
Answer:
The mass of the object and the distance between objects.
Explanation:
Someone please help!! thanks so much
For a particular cross-sectional area of the wire, 3.00 x [tex]10^{20}[/tex] electrons must go through it in 6.00 x [tex]10^{14}[/tex] seconds.
How can you figure out how long it takes an electron to travel across a wire with a specific cross-sectional area?Q = It, where I is the current, t is the time, and Q is the total charge.
Q = N
N is the quantity of electrons.
The two equations together give us:
Ne = It,
To solve for t, we obtain:
t = Ne/I
Inputting the values provided yields:
t = (3.00× [tex]10^{20}[/tex])
(1.60× [tex]10^{-19}[/tex] C/e) / (80.0× [tex]10^{-3}[/tex] A)
t = 6.00× [tex]10^{14}[/tex] s
For a particular cross-sectional area of the wire, 3.00 x [tex]10^{20}[/tex] electrons must go through it in 6.00 x [tex]10^{14}[/tex] seconds.
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James put a pot of liquid water on the hot stove. When he came back the liquid was gone. Show why the water changed phase
2. How much current is in a resistor of 227 Ω if the potential difference across
the resistor is 145 V?
The 0.64 amp current flow is in a resistor of 227 Ω if the potential difference across the resistor is 145 V.
How do you determine current when there is resistance and a potential difference?The sum of the currents flowing through each branch represents the total current in the circuit. By dividing the total current for the circuit by the cell's potential difference, the total resistance for this circuit may be computed.
What is the potential difference current formula?Using the equation V = E d, determine the potential difference between the two locations. Subtract the current flow rate from the resistance that exists in the circuit. The process of multiplication results in the potential difference, which is measured in volts. This formula, V = I R, is known as Ohm's Law.
What conceivable variations exist in Ohm's law?The current times the resistance results in the potential difference, also known as voltage. One Joule of energy is produced when one Coulomb of charge moves between two points in a circuit with a potential difference of one Volt.
From ohm's law;
V = IR
Substitute values,
145 = I × 227
I = 0.64 Amp
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answer the following questions: which block has a higher temperature? iron does the hotter block have more energy inside? look closely! yes how would you explain that after putting in the same amount of heat, the two blocks have different temperatures? different
Yes, the hotter block has more energy inside. This is due to the fact that the materials of the two blocks have different heat capacities. Heat capacity is the amount of heat energy that must be added to a material to increase its temperature by 1°C. Generally speaking, materials with higher heat capacities will require more heat to raise their temperature by 1°C than materials with lower heat capacities.
For example, if two blocks, one made of iron and one made of aluminum, were both placed in a fire and given the same amount of heat energy, the block made of aluminum would be hotter than the block made of iron. This is because iron has a higher heat capacity than aluminum, meaning it takes more energy to heat it up. Therefore, the aluminum block has absorbed more heat energy and has a higher temperature than the iron block.
In conclusion, after receiving the same amount of heat energy, the two blocks have different temperatures because they have different heat capacities. The block with the higher heat capacity (iron) requires more energy to raise its temperature, resulting in a lower temperature than the block with the lower heat capacity (aluminum).
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Most people store much of their personal information digitally on a computer.
What happens to this information if it is accidentally deleted?
A. The information is backed up, but it is an inferior copy.
O
B. If the information is overwritten, it cannot be recovered.
C. The information is changed and becomes a computer virus.
O
D. The information is automatically backed up as analog storage.
SUBMIT
The correct option is A. If personal information is accidentally deleted from a computer, The information is backed up, but it is an inferior copy.
Information can be defined as a measure of the degree of uncertainty reduction obtained by receiving a message or measuring a system. It is a fundamental concept in many areas of physics, including thermodynamics, quantum mechanics, and information theory.
In thermodynamics, information is related to the entropy of a system, which quantifies the degree of disorder or randomness. The more information we have about a system, the lower its entropy and the more ordered it becomes.
In quantum mechanics, information is closely related to the concept of entanglement, where two or more particles become so strongly correlated that their states cannot be described independently. The amount of information that can be transmitted through an entangled system is limited by the laws of quantum mechanics.
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The main function of a producer in an ecosystem is to
A.
absorb minerals from the soil.
B.
change water vapor into a liquid.
C.
make sugar through photosynthesis.
D.
break down dead plant and animal matter.
Answer:
The main function of a producer in an ecosystem is to make sugar through photosynthesis. Producers are organisms, such as plants and algae, that produce their own food using energy from sunlight, carbon dioxide from the air, and nutrients from the soil or water. Through the process of photosynthesis, producers convert light energy into chemical energy in the form of sugar, which can be used as a source of food and energy by other organisms in the ecosystem. This makes producers a critical component of the food chain and the foundation of many ecosystems. Options A, B, and D do not accurately describe the main function of a producer in an ecosystem.
A transverse wave on a string travels at
40
m
s
40
s
m
40, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction . The vertical position of a certain point on the string over time is shown below.
What is the wavelength of the wave along the string?
To find the wavelength of the wave along the string, we first need to measure the distance between two consecutive points on the wave that are in the same phase.
How to calculate the wavelength?We can look at the graph provided by the question, whose full cycle of the wave completes in 0.1sec, i.e. demonstrating that this is a complete up and down movement of the point.
As measured in the graph, we see that the distance between two consecutive points is 0.5 cm. Then we calculate the wavelength of the wave using the following formula:
Wavelength = Distance between two consecutive peaks = 0.5cm = 0.005mTherefore, the wavelength of the wave corresponds to 0.005m.
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A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward). The rocket's acceleration has components ax(t)=αt2
and ay(t)=β−γt
, where α
= 2. 50 m/s4
, β
= 9. 00 m/s2
, and γ
= 1. 40 m/s3. At t=0
the rocket is at the origin and has velocity v⃗ 0=v0xi^+v0yj^
with v0x
= 1. 00 m/s
and v0y
= 7. 00 m/s
A roller coaster starts at rest at the top of a 51-meter-high frictionless track. At the bottom of the track, what is the approximate speed of the roller coaster? 45 m/s
The apprοximate speed οf the rοller cοaster at the bοttοm οf the track is 31.6 m/s.
What is Speed?It is defined as the distance travelled by an οbject per unit time, and is usually expressed in meters per secοnd (m/s) οr οther units οf distance per unit time (such as miles per hοur οr kilοmeters per hοur).
Nο, the speed οf the rοller cοaster at the bοttοm οf the track is nοt 45 m/s.
Tο determine the speed οf the rοller cοaster at the bοttοm οf the track, we can use the principle οf cοnservatiοn οf energy, which states that the tοtal amοunt οf energy in a clοsed system remains cοnstant.
At the tοp οf the track, the rοller cοaster has οnly pοtential energy, which can be calculated as: PE = mgh
where m is the mass οf the rοller cοaster, g is the acceleratiοn due tο gravity (apprοximately 9.81 m/s²), and h is the height οf the track (51 meters). Assuming the mass οf the rοller cοaster is 1 kilοgram, the pοtential energy at the tοp οf the track is :
[tex]PE = (1 kg)(9.81 m/s^2)(51 m) = 502.31 J[/tex]
At the bottom of the track, all of the potential energy has been converted to kinetic energy, which can be calculated as:
[tex]KE = 1/2 mv^2[/tex]
where v is the speed of the roller coaster. Equating the initial potential energy to the final kinetic energy, we have:
PE = KE
[tex]mgh = 1/2 mv^2Solving for v, we get:v = sqrt(2gh)v = sqrt(2 x 9.81 m/s^2 x 51 m) = sqrt(999.162) = 31.6 m/s (approximately)[/tex]
Therefore, the approximate speed of the roller coaster at the bottom of the track is 31.6 m/s.
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the mass of the moon is 7.348e22 kg and its radius is 1738 km. what would be the weight of a 65 kg person standing on the moon?
The weight of a 65 kg person standing on the moon with a mass of 7.348e22 kg and a radius of 1738 km would be approximately 105.3 N.
The weight of a 65 kg person on the moon can be calculated using the formula:
Weight = mass x gravitational acceleration
where mass is the mass of the person, and gravitational acceleration is the acceleration due to gravity on the surface of the moon.
The gravitational acceleration on the surface of the moon is given by:
g = G*M/R^2
where G is the gravitational constant, M is the mass of the moon, and R is the radius of the moon.
In this case, the mass of the moon is M = 7.348e22 kg, and the radius of the moon is R = 1738 km = 1.738e6 m. The gravitational constant is G = 6.6743e-11 Nm^2/kg^2.
So, the gravitational acceleration on the surface of the moon is:
g = G*M/R^2 = (6.6743e-11 Nm^2/kg^2) x (7.348e22 kg) / (1.738e6 m)^2
= 1.62 m/s^2
Now, we can calculate the weight of a 65 kg person on the moon:
Weight = mass x gravitational acceleration
= 65 kg x 1.62 m/s^2
= 105.3 N
Therefore, a 65 kg person would weight about 105.3 N on the surface of the moon.
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How can a person sing into a piano and cause a piano wire to vibrate? (1 point)
O The person sings at the same frequency as the piano wire, called the beat frequency.
OThe person sings at a different frequency than the piano wire, called the beat frequency.
OThe person sings at the same frequency as the piano wire, called the resonance frequency.
OThe person sings at a different frequency than the piano wire, called the resonance frequency.
Answer:
The person sings at the same frequency as the piano wire, called the resonance frequency.
Explanation:
The person sings at a different frequency than the piano wire, called as resonance frequency. So, option d is correct.
Interference directs to a phenomenon in which two wires meet while traveling along the exact medium and they superpose to create a resulting wave that is lower, greater, or the same amplitude as each other. The soundboard is a big wooden panel that amplifies the sound of the vibrating string.
In the given scenario, a beat frequency is listened to by a player when using a tuning fork to adjust a piano wire. Thus, the piano tuner should change the strain in the wire, this decreases the frequency of the wire.
A coconut is free-falling vertically from a tree. The gravitational potential energy of the coconut when it starts to fall is 560J
a) Calculate the mechanical energy of the coconut when it begins to fall.
b) Find the kinetic energy of the coconut when it hits the ground.
c) Calculate the kinetic energy, potential energy & mechanical energy of the coconut at a position 1/2 the height when it started to fall.
Question
A coconut of mass m falls from its tree through a vertical distance of s and could reach ground with a velocity of v ms−1 due to air resistance. The work done by air resistance is:
A.) −m/2 (2gs−v2)
B.) −1/2 mv^2
C.) −mgs
D.) mv^2+2mgs
Solution
Correct option is A)
Here, a coconut of mass m falls from its tree through a vertical distance of s, with a velocity of v hence work done by gravity is,
Wg=mgs .......(1)
Change in velocity of coconut is,
E=1/2m(u−v)^2 = −1/2m(v)2 ........(2)
Now, total work done on coconut is equal to change in kinetic energy hence,
Wa+Wg=1/2mv^2
where, Wa is work done by air resistance.
Using (1) and (2), we get
Wa=1/2mv^2−Wg
Wa=1/2mv^2−mgs
Wa=−m/2(2gs−v2)
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A 4. 5 kg dog stands on an 18 kg flatboat at distance D=6. 1 m from the shore. It walks 2. 4 m along the boat toward shore and then stops. Assuming no friction between the boat and the water, find how far the dog is then from the shore.
mass of dog and boat are m = 4.5 kg, and M = 18 kg respectively.
Initial distance of dog from the shore, D = 4.5 m
A reservoir has a surface area of and an average depth of 40. 0 m. What mass of water is held behind the dam? (See
Figure 11. 5 for a view of a large reservoir—the Three Gorges Dam site on the Yangtze River in central China. )
The density of water ρ from Table 1 is [tex]1.000 * 10^{3} kg / m^{3}[/tex] . Subbing V and ρ into the expression for mass gives:m= [tex]V=Ah=(50.0km^{2} )(40.0m)\\=[(50km^{2} ) (\frac{10^{3}m }{1km} )^2] (40.0m) = 2.00 * 10^{9} m^{3}[/tex]
We can ascertain the volume V of the supply from its aspects, and track down the density of water ρ in Table 1. Then, at that point, the mass m can be tracked down in the meaning of density.
[tex]p =\frac{m}{v}[/tex]
Tackling condition ρ = m/V for m gives m=ρV.
The volume V of the supply is its surface region Multiple times its typical profundity h:
[tex]V=Ah=(50.0km^{2} )(40.0m)\\=[(50km^{2} ) (\frac{10^{3}m }{1km} )^2] (40.0m) = 2.00 * 10^{9} m^{3}[/tex]
The density of water ρ from Table 1 is [tex]1.000 * 10^{3} kg / m^{3}[/tex] .
Subbing V and ρ into the expression for mass gives:
[tex]m= (1.00 * 10^3kg / m^3) (2.00* 10^9m^3) \\ = 2.00 * 10^{12} kg[/tex]
An enormous supply contains an extremely huge mass of water. In this model, the heaviness of the water in the repository is mg=1.96× [tex]10^{13}[/tex] N, where g is the speed increase because of the Earth's gravity (around 9.80[tex]m/s^{2}[/tex] ). It is sensible to find out if the dam should supply a power equivalent to this colossal weight. The response is no. As we will find in the accompanying segments, the power the dam should supply can be a lot more modest than the heaviness of the water it keeps down.
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the complete question is:
A reservoir has a surface area of [tex]50.0 km^{2}[/tex] and an average depth of 40.0 m. What mass of water is held behind the dam? (See Figure 2 for a view of a large reservoir—the Three Gorges Dam site on the Yangtze River in central China.)
the mass of the blue puck is 20% greater than the mass of the green one. before colliding, the pucks approach each other with equal and opposite momenta, and the green puck has an initial speed of 10 m/s. find the speed of the pucks after the collision, if half the kinetic energy is lost during the collision.\
To find the speed of the green and blue pucks after the collision, we can use the conservation of momentum and the conservation of energy equations and it is 3.33 m/s and 2.78 m/s respectively.
First, let's find the mass of the blue puck. If the mass of the blue puck is 20% greater than the mass of the green one, then:
m (blue) = 1.2 * m (green)
Next, let's use the conservation of momentum equation:
m (green) * v (green), initial + m (blue) * v (blue), initial = m (green) * v (green), final + m (blue) * v (blue), final
Since the pucks approach each other with equal and opposite momenta, we can set v (blue), initial = -v (green), initial = -10 m/s. Plugging in the values we know:
m (green) * 10 + 1.2 * m (green) * (-10) = m (green) * v (green), final + 1.2 * m (green) * v (blue), final
Next, let's use the conservation of energy equation. If half the kinetic energy is lost during the collision, then:
0.5 * m (green) * v (green), initial2 + 0.5 * m (blue) * v (blue), initial2 = 0.5 * (m (green) * v (green), final2 + m (blue) * v (blue), final2)
Plugging in the values we know:
0.5 * m (green) * 102 + 0.5 * 1.2 * m (green) * (-10)2 = 0.5 * (m (green) * v (green), final2 + 1.2 * m (green) * v (blue), final2)
Now we can solve for the final velocities of the pucks using these two equations. We get:
v (green), final = -3.33 m/s
v (blue), final = 2.78 m/s
Therefore, the speed of the green puck after the collision is 3.33 m/s and the speed of the blue puck after the collision is 2.78 m/s.
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A ray of light starting from diamond is incident on the interface separating diamond and water . Draw a labelled diagram to show the refraction of light in this case
Answer & Explanation:
incident ray
|
v
----------
| diamond |
----------
^
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refracted ray
In this diagram, the incident ray of light is represented by the line pointing downward towards the diamond. The interface between the diamond and water is shown as a horizontal line. The refracted ray of light is represented by the line pointing upward away from the diamond.
When the incident ray of light passes from diamond into water, it will refract or bend due to the change in the speed of light between the two media. The exact angle of refraction depends on the refractive indices of the diamond and water, as well as the angle of incidence.
A ray of light starting from diamond is incident on the interface separating diamond and water is as shown in the figure.
What is refractive index ?When a light is going from medium 1 to medium 2. The refractive index is defined as a ratio of velocity of light in medium 1 to velocity of light in medium 2. Refractive index is the factor which deals with the amount of bending of light. More refractive index means more it will bend in the medium 2. When it is 1 we can say that light has not been bent.
By Snell's law, Refractive index is given by,
sin (i) ÷ sin (r) = μ₂÷μ₁
where i is the the angle of incidence
r is the angle of refraction
μ₂ & μ₁ are refractive index of medium 2 and 1 resp.
Light bends as it passes from diamond to water at an angle due to Refractive index between air and glass.
white light consist of number of colors, each color has its own wavelength. Refractive index of an optical medium changes with the wavelength, therefore each color of white light get splitted from white light this phenomenon is know as dispersion of the light.
Labeled diagram is shown in the figure.
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580 nm light shines on a double slit with d=0. 000125 m. What is the angle of the third dark interference minimum(m=3)?
580 nm light shines on a double slit with d=0. 000125 m. the angle of the third dark interference minimum(m=3) is 0.76 degrees.
The angle θ of the third dark interference minimum can be calculated using the equation:
sin θ = (m λ) / d
where m is the order of the interference minimum, λ is the wavelength of the light, and d is the distance between the slits.
In this case, m = 3, λ = 580 nm = 5.80 × 10^−7 m, and d = 0.000125 m. Plugging in these values, we get:
sin θ = (3 × 5.80 × 10^−7 m) / 0.000125 m
solving this, we get:
sin θ = 0.0132
Taking the inverse sine of both sides, we get:
θ = sin−1 (0.0132)
Using a calculator, we find:
θ ≈ 0.76 degrees
Therefore, the angle of the third dark interference minimum is approximately 0.76 degrees.
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A machine consists of two metal plates of equal but unknown mass and a wooden bar that is 1. 50 meters long. One plate is glued to each end of the bar. The bar rotates at a constant rate in a vertical circle around an axis through its center, so that it takes 2. 50 seconds to complete one full rotation. The glue will hold as long as the force trying to pull the plate from the bar does not exceed 58. 0 N.
Required:
What is the maximum mass of the plate that can remain glued to the bar, under these conditions?
The maximum mass of the plate that can remain glued to the bar can be determined using the maximum force that the glue can withstand.
The wooden bar rotates in a vertical circle around an axis through its center with a constant period of 2.50 seconds. The maximum force that can be exerted on each metal plate is equal to the centrifugal force acting on it due to its rotation around the axis. The centrifugal force is given by the equation Fc = mv^2/r, where Fc is the centrifugal force, m is the mass of the metal plate, v is the velocity of the metal plate, and r is the radius of the circle. In this case, the radius of the circle is equal to half the length of the wooden bar, i.e., r = 0.75 m. The velocity of the metal plate can be calculated from the equation v = 2πr/T, where T is the period of rotation. Substituting the given values, we get: v = (2π)(0.75 m)/(2.50 s) = 4.71 m/s. The maximum force that can be exerted on each metal plate is therefore: Fc = m(4.71 m/s)^2/(0.75 m) = 29.37 mN. To ensure that the maximum force does not exceed 58.0 N, the maximum mass of each metal plate can be calculated by dividing the maximum force by the acceleration due to gravity (9.81 m/s^2): mmax = 58.0 N/(2 × 9.81 m/s^2) = 2.96 kg. Therefore, each metal plate can have a maximum mass of 2.96 kg to avoid exceeding the maximum force that the glue can withstand.
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If all planets were the same distance from the sun, which would have the largest gravitational force between itself and the sun? Why? and
If all planets were the same mass, which would have the lowest gravitational force between itself and the sun? Why?
A source of sound is located in a medium in which speed of sound is V and an observer is located in a medium in which speed of sound is 2V. Both the source and the observer are moving directly towards each other at speed each. The source has frequency f0. Then:
Apparent wavelength observed by the observer is. Find y
The formula for the frequency observed by the observer when both the source and the observer are moving toward each other is given by:
f' = f0 (v + vo)/(v + vs)
where f0 is the frequency of the source, v is the speed of sound in the medium of the source, vs is the speed of sound in the medium of the observer, vo is the speed of the observer, and f' is the apparent frequency observed by the observer.
The formula for the wavelength of a wave is :
λ = v/f
where λ is the wavelength, v is the speed of the wave, and f is the frequency.
the speed of sound is different in the two media, and the wavelength of the sound wave will also be different in the two media. Let λ0 be the wavelength of the sound wave in the medium of the source and λ be the wavelength observed by the observer.
but this, we have:
λ = v'/f'
where v' is the relative speed of the source and the observer.
Since both the source and the observer are moving towards each other, their relative speed is:
v' = v + vs + vo
Substituting the given values, we get:
f' = f0 (v + vo)/(v + 2v)
= f0 (1 + vo/v)/3
λ0 = v/f0
λ = v' / f'
= (v + vs + vo) / [f0 (1 + vo/v)/3]
= 3(v + vs + vo) λ0/(1 + vo/v)
solving this, we get:
λ = 3(v + 2V)λ0/(1 + v0/v)
Thus, the apparent wavelength seen by the observer is
3(v + 2V)λ0/(1 + v0/v).
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In the 50/30/20 rule, what does 50 represent?(1 point)
In the 50/30/20 rule, 50 represents the percentage of your after-tax income that you should allocate towards your essential expenses.
What does 50 represent?These are the necessary expenses that you need to pay for in order to live, such as housing, utilities, groceries, transportation, and healthcare. By allocating 50% of your after-tax income towards these essential expenses, you can ensure that you are meeting your basic needs and maintaining a stable lifestyle.
The other percentages in the 50/30/20 rule refer to the remaining portions of your after-tax income. 30% should be allocated towards your discretionary spending, which includes non-essential expenses such as entertainment, dining out, travel, and hobbies. The final 20% should be allocated towards your financial goals, such as paying off debt, building an emergency fund, and saving for retirement or other long-term goals.
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