Answer:
Density is calculated by dividing the mass of a substance by its volume. In this case, the mass of the cooking oil is 174 g and its volume is 200 mL (or 0.2 L). So the density of the oil can be calculated as follows:
Density = Mass / Volume Density = 174 g / 0.2 L Density = 870 g/L
So the density of the cooking oil is approximately 870 g/L.
The sound level produced by one singer is
83.7 dB.
What would be the sound level produced
by a chorus of 16 such singers (all singing at
the same intensity at approximately the same
distance as the original singer)?
Answer in units of dB.
A chorus of 16 singers would make about 95.74 dB of sound if they sang with the same intensity as one vocalist.
How do sound intensity and sound intensity level differ from one another?This ratio is multiplied by 10 using the decibel (dB) measurement unit. The sound intensity level, as opposed to the actual intensity, shows you the level of the sound in relation to a reference intensity.
To get the overall sound level, we can apply the formula shown below:
Lp1 = 83.7 dB (sound level produced by one singer)
Lp2 = 10 log (N) + Lp1
N is the quantity of sources (in this case, 16 singers).
Lp2 = 10 log (16) + 83.7 dB
Lp2 = 10 (1.204) + 83.7 dB
Lp2 = 12.04 + 83.7 dB
Lp2 = 95.74 dB
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a typical incandescent light bulb emits about 1 j of visible light energy every second. estimate the number of visible photons emitted per second.
The number of visible photons emitted per second is 2.51 × [tex]10^{18}[/tex]
A typical incandescent light bulb emits approximately 1 J of visible light energy per second.
The formula to calculate the energy of a photon is
E = hf
Where:
E is the energy of the photon.
h is Planck's constant (6.626 × [tex]10^{-34}[/tex] joule-seconds).
f is the frequency of the photon.
As we know, energy is equal to power multiplied by time.
We can write this as:
E = P × t
Thus, we can express the power in terms of energy as:
P = E/t
Therefore, the energy of a photon can be written as
E = (P × t) / n
where: n is the number of photons that were emitted over the time interval t.
So, the number of photons emitted can be estimated using the following formula:
n = (P × t) / E
Substituting the values: P = 1 J/t
E = 4.19 × [tex]10^{-19}[/tex]J/photon (wavelength is about 500 nm)
f = c / λ = 3 × 108 / 500 × 10-9 = 6 × 1014 Hz
E = hf = 6.626 × [tex]10^{34}[/tex] × 6 × 1014 = 3.98 × [tex]10^{-19}[/tex] J
n = (P × t) / E= (1 J/s × 1 s) / (3.98 × [tex]10^{-19}[/tex] J/photon)= 2.51 × [tex]10^{18}[/tex] photons/s
Therefore, a typical incandescent light bulb emits approximately 2.51 × [tex]10^{18}[/tex] photons per second.
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thomas edison was the first to create a portable motion picture camera and projection system. true false
True. Thomas Edison was the first to create a portable motion picture camera and projection system in 1889.
The Kinetograph was the name of the first movie camera. It was the first camera that could capture moving images on a strip of film. George Eastman (later of Eastman Kodak Camera) created celluloid film in 1889, which was utilized in Edison's Kinetoscope and Kinetograph.
Edison developed the camera as well as its viewer and put on multiple demonstrations of his invention. The first still photographers, Joseph Nicephone Niepce and Louis Daguerre of France, were responsible for discovering the photographic principles upon which the camera was founded. His invention, known as the Kinetoscope, consisted of a camera, film, and projection system.
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with this corrective lens in place, what is her new near point? express your answer with the appropriate units.
The new near point with the corrective lens is 5 cm.
To find the new near point, we need to first understand what a near point is. The near point is the closest distance at which an individual can see an object clearly. With age, the near point increases due to a decrease in the ability of the eye to accommodate for close distances. This is known as presbyopia.
To find the new near point with a corrective lens, we need to use the lens equation:
1/f = 1/do + 1/di
where f is the focal length of the lens, do is the object distance (usually considered infinity), and di is the image distance.
We can assume that the object is at infinity, so do = infinity.
Therefore,
1/f = 0 + 1/di
Solving for di, we get: di = f
To find the new near point, we need to subtract the di with the lens from the old near point.
Therefore, the new near point is:
New near point = old near point - di
where the di is the focal length of the corrective lens.
Substituting values into the equation, we get:
New near point = 25 cm - 20 cm = 5 cm
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given that organic molecules need to react in order to produce life, this suggests we should search for worlds in the solar system that have a. rocky surfaces b. an atmosphere c. organic molecules on their surfaces d. either an atmosphere, or a surface or subsurface liquid medium such as water, or both.
Given that organic molecules need to react in order to produce life, this suggests we should search for worlds in the solar system that have:
A rocky surface, as these surfaces provide the solid foundation needed for the organic molecules to bond and react together.An atmosphere, as this provides the organic molecules with the air needed for their reactions.Organic molecules on their surfaces, as these molecules are necessary for life to form.Either an atmosphere, or a surface, or subsurface liquid media such as water, or both, as these are necessary components for the reactions of organic molecules to take place.
Organic molecules are chemical compounds that include carbon and hydrogen atoms that are produced by living organisms. These molecules play a crucial role in the formation of life on Earth. Life on Earth began about 4 billion years ago with the formation of organic molecules in the oceans. In the search for life beyond Earth, scientists are searching for signs of organic molecules in other worlds in the solar system.
There are several criteria for finding life on other planets. The first criterion is that the planet must have either an atmosphere, or a surface or subsurface liquid media such as water, or both. This is because organic molecules need to react in order to produce life. Without an atmosphere or a liquid medium, the organic molecules will not react, and life cannot form.
The second criterion is that the planet must have organic molecules on its surface. Organic molecules can be produced by living organisms, or they can be produced by non-living processes such as meteorite impacts or volcanic activity. If organic molecules are found on the surface of a planet, it suggests that the planet has the potential to support life.
Therefore, we should search for worlds in the solar system that have either an atmosphere, or a surface or subsurface liquid media such as water, or both.
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the mean lifetime of an electronically excited state in a molecule is 5 ns. if this state emits at 500 nm, calculate the uncertainty in the emitted wavelength
The uncertainty in the emitted wavelength is approximately: 0.013 nm.
The mean lifetime of an electronically excited state in a molecule is 5 ns. If this state emits at 500 nm, calculate the uncertainty in the emitted wavelength.
The uncertainty in the emitted wavelength can be calculated using the relation given below,Δλ = h/(4πmc)τ
Here, Δλ is the uncertainty in the emitted wavelength is Planck’s constant
m is the mass of an electron
c is the speed of light in vacuum
t is the lifetime of the excited state
Therefore, substituting the given values we have,Δλ = (6.626 × 10^-34)/(4π × 9.1 × 10^-31 × 3 × 10^8 × 5 × 10^-9)≈ 0.013 nm (approximately)
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The weight of a dum bell is 500 n. It is lifted over a bodybuilder’s head at a distance of 0.7 meters. What is the work done by the bodybuilder on the dum bell?
350 J
714.2 J
500 J
1.4 x 10-3 J
Explanation:
W = F * d <==== ( Force * distance)
500 N * .7 m = 350 J
a 10 kg mass is connected to a nail on a frictionless table by a massless string 1.3 m long. there is no appreciable friction between the nail and the string. if the tension in the string is 51 n while the mass moves in a uniform circle on the table, how long does it take for the mass to make one complete revolution?
The time it takes for the 10 kg mass to make one complete revolution on the table, given a tension of 51 N in the string, is 1.6 seconds. This value is calculated using the formula [tex]T = 2π√(r/g)[/tex] where r = 1.3 m and g = 9.8 m/s^2.
When a 10 kg mass is connected to a nail on a frictionless table by a massless string 1.3 m long, and the tension in the string is 51 N, the mass moves in a uniform circular motion. To find the time it takes for the mass to make one complete revolution, we use the formula [tex]T = 2π√(r/g)[/tex], where T is the time period, r is the radius of the circular path, and g is the acceleration due to gravity. Since the motion is on a table, the acceleration is zero and we can use the formula as is, with r = 1.3 m and [tex]g = 9.8 m/s^2[/tex]. Substituting these values, we get T = 1.6 seconds. Therefore, it takes 1.6 seconds for the mass to make one complete revolution on the table.
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A basketball rolls across a classroom floor without slipping, with its center of mass moving at a certain speed. A block of ice of the same mass is set sliding across the floor with the same speed along a parallel line. Which object has more(i) kinetic energy and (ii) momentum?(a) The basketball does. (b) the ice does. (c) The two quantities are equal. (iii) the two objects encounter a ramp sloping upward. Which object will travel farther up the ramp? (a) the basketball will. (b) The ice will. (c) They will travel equally far up the ramp.
A basketball rolls across a classroom floor without slipping, with its center of mass moving at a certain speed. A block of ice of the same mass is set sliding across the floor with the same speed along a parallel line (c) The two quantities are equal is correct option.
Both the basketball and the ice have the same mass and speed, therefore as they advance up the ramp, they will gain an equal amount of potential energy. They will ascend the ramp in an equal amount of time, hence the correct answer is (c).The quantity of motion of an item is described by the fundamental physics notion of momentum. It is described as the result of the mass and the velocity of an object. In other words, momentum is a measure of how difficult it is to stop a moving thing.The ice block and the basketball both move at the same pace, giving them the same amount of kinetic energy. The two values are equal, hence the answer is (c).
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? assume that the space between the plates is filled with air? (dielectric constant for air is 1.00059)
A parallel-plate capacitor has plates of area 3.07 x 10⁻⁴ m². So the plate separation is required if the capacitance is to be 1520 pF is 5.717 x 10⁻⁵ m.
The capacitance of parallel plate capacitor, C = (ε0 * K * A)/ d, where ε0 = permittivity of free space, K = dielectric constant, A = Area of the plate separation, d = plate separation.
Given:
Area of plate, A = 3.07 * 10⁻⁴ m²
Capacitance, C = 1520
pF = 1520 * 10⁻¹² F
The dielectric constant of air, K = 1.00059
Rearranging the above formula, we get,
d = (ε₀* K * A)/ C
Substituting the above values in the above formula,
d = (ε₀ * K * A)/ C
d = (8.85 * 10⁻¹² * 1.00059 * 3.07 * 1⁻⁴)/ (1520 * 10⁻¹²)
d = 5.717 * 10⁻⁵ m
Hence, the plate separation required is 5.717 x 10⁻⁵ m.
Complete question:
A parallel-plate capacitor has plates of area 3.07 x 10⁻⁴ m²
What plate separation is required if the capacitance is to be 1520 pF? Assume that the space between the plates is filled with air? (Dielectric constant for air is 1.00059)
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What is another term for weight transfer in the cha-cha dance?
In the Cha-cha dance, weight transfer is a crucial component of the dance technique. It refers to the transfer of body weight from one foot to the other, which creates the characteristic rhythm of the dance.
Another term for weight transfer in the Cha-cha dance is "weight shift". This term emphasizes the dynamic nature of the movement, as the body weight is constantly shifting from one foot to the other in a rhythmic pattern.
The weight shift is usually accompanied by a small hip movement and a sharp foot action, which adds to the energy and excitement of the dance. In summary, weight transfer and weight shift are interchangeable terms used to describe the essential movement in the Cha-cha dance.
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a satellite in a circular orbit around earth experiences a centripetal acceleration of 8.62 m/s2 . the tangential speed of the satellite is 7.65 x 103 m/s. the radius of earth is 6.38 x 106 m. what is altitude of the satellite?
The altitude of the satellite is 2.24 × 10⁷ m.
Given, the centripetal acceleration of the satellite is a = 8.62 m/s²,
the tangential speed of the satellite is v = 7.65 × 10³ m/s,
the radius of the earth is R = 6.38 × 10⁶ m
We can find the altitude (h) of the satellite from the relation;
a = (v² / R) + (v² / h)
where, v is the tangential velocity, R is the radius of the Earth, h is the altitude of the satellite
Substitute the given values to calculate h;
a = (v² / R) + (v² / h)
8.62 = (7.65 × 10³)² / (6.38 × 10⁶) + (7.65 × 10³)² / h
h = (7.65 × 10³)² / (8.62) - (6.38 × 10⁶)h = 2.24 × 10⁷ m
Therefore, the altitude of the satellite is 2.24 × 10⁷ m.
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The wavelenght of a balmer series line for hydrogen is found to be 656. 5nm. What percentage difference is found between this and the wavelenght predicted by?
There is a 34.9% difference between the observed wavelength and the predicted wavelength for the Balmer series line of hydrogen.
The Balmer series refers to the set of spectral lines in the visible part of the electromagnetic spectrum that are emitted by excited hydrogen atoms when they transition from higher energy levels to the second energy level. The formula for calculating the wavelength of the Balmer series lines is given by:
1/λ = [tex]R_H (1/2^2 - 1/n^2)[/tex]
where λ is the wavelength of the spectral line, R_H is the Rydberg constant for hydrogen [tex](1.0974 * 10^7 m^-1)[/tex], and n is an integer greater than 2 that represents the higher energy level from which the electron transitions.
For the Balmer series line with a wavelength of 656.5 nm, we can calculate the predicted wavelength using the formula above with n=3:
1/λ_predicted = [tex]R_H (1/2^2 - 1/3^2)[/tex]
[tex]= 1.0974 * 10^7 m^{-1} (1/4 - 1/9)[/tex]
= 4.862 x 10^-7 m[tex]= 4.862 * 10^{-7} m[/tex]
= 486.2 nm
The percentage difference between the predicted and observed wavelengths can be calculated using the formula:
% difference = |(observed wavelength - predicted wavelength) / predicted wavelength| x 100%
% difference = |(656.5 nm - 486.2 nm) / 486.2 nm| x 100%
= 34.9%
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how are dry cells maintained
How do you find the open circuit voltage and short circuit current?
We can find open circuit voltage by disconnecting one end of the circuit from the other end and short circuit current by connecting the two ends of the circuit together.
To find the open circuit voltage and short circuit current of an electrical circuit, the following steps should be taken:
Measure the open circuit voltage by disconnecting one end of the circuit from the other end. This will create an open circuit, meaning that no current will flow. The voltage reading at this point is the open circuit voltageMeasure the short circuit current by connecting the two ends of the circuit together. This will create a short circuit, meaning that the current will be able to flow. The current reading at this point is the short circuit current.In an electrical circuit, the open circuit voltage is the voltage between two points in a circuit when no current is flowing. The short circuit current is the current that flows when the two points in a circuit are connected, creating a short circuit. By measuring the open circuit voltage and short circuit current, we can understand how a circuit works.
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lobster traps are designed so that a lobster can easily get in, but cannot easily get out. can a diathermic wall be created that allows heat to flow through in one direction only? explain.
Lobster traps are designed so that a lobster can easily get in but cannot easily get out. It is possible to create a diathermic wall that allows heat to flow through in one direction only. Diathermic walls are barriers that permit heat to flow through them in both directions.
Such walls are used in industrial applications to separate hot and cold regions of a system or for temperature control. However, it is possible to create a diathermic wall that allows heat to flow through in only one direction.
Heat moves from hot to cold regions in nature due to the second law of thermodynamics. However, if the diathermic wall is made up of alternate layers of high- and low-conductivity materials, heat will flow more quickly in one direction than in the other.
The side with the high-conductivity material will have a lower temperature than the side with the low-conductivity material. This temperature difference generates an electric current that opposes the flow of heat in the opposite direction, effectively blocking it.
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a ladybug walks around a circular track that has a diameter of 3 m. if it moves around the entire track for at an angular velocity of 5 rad/s for 12s, what is the angular displacement? what is angular acceleration? lab
The angular acceleration of a ladybug walks around a circular track that has a diameter of 3 m is 0.625 rad/s².The angular displacement is 60 rad.
Given that,The diameter of the circular track = 3m,Angular velocity of the ladybug = 5 rad/s.The time for which the ladybug moves = 12s. The formula for angular displacement is given by:
angular displacement = angular velocity × time (in seconds) = 5 rad/s × 12 s = 60 rad
So, the angular displacement is 60 rad.The formula for angular acceleration is given by:
angular acceleration = change in angular velocity / time taken (in seconds)
The initial angular velocity of the ladybug is zero, since it was at rest initially.The final angular velocity of the ladybug can be found using the formula:v = r × ωwhere,v = final linear velocity,r = radius of the circular track = 1.5m, ω = angular velocity= 5 rad/sv = 1.5 × 5 = 7.5 m/s
Therefore, the final angular velocity of the ladybug is 7.5 m/s.The change in angular velocity is given by:change in angular velocity = final angular velocity - initial angular velocity= 7.5 rad/s - 0 rad/s= 7.5 rad/s.The time taken for the ladybug to reach its final velocity is 12 seconds.Hence, the angular acceleration is given by:
angular acceleration = change in angular velocity / time taken (in seconds) = 7.5 rad/s / 12 s = 0.625 rad/s²
Therefore, the angular acceleration is 0.625 rad/s².
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a person puts a bottle of juice in a refrigerator. the juice gets cooler while it is in the refrigerator. as the juice gets cooler, what happens to the amount of energy the juice has?
This occurs when airborne water vapour bumps up against the surface of a cold water bottle, causing the water vapour to condense into droplets.
What elements influence the transport of heat between warm and cool substances?The heat transported to or from a substance depends on three things, according to experiments: the change in temperature of the substance, its mass, and some physical characteristics associated to its phase.
What mechanism moves thermal energy from a colder to a warmer area?Examples of heat engines that move energy from a cold place to a hot area include refrigerators and heat pumps.
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when he displacement of a mass on a spring is half the amplitude of the oscillation, what fraction of the mass's energy is kinetic energy?
Answer:
PE = 1/2 K x^2 potential energy
when x = A
PEt = 1/2 k A^2 total potential energy
If x = A / 2
PE 1/2= 1/2 k A^2 / 4
PE1/2 / PEt = 1/4
Thus the PE at 1/2 the displacement is 1/4 the total
Since PE + KE = constant
3/4 the mass's energy will be KE at 1/2 the amplitude
3. A 16.2 kg object is at rest on an inclined plane. If the inclined plane makes an angle with the horizontal of 25.0°, what is the Normal force acting on the object?
The normal force acting on the object is equal to 145.8 N.
What is Normal Force?
Normal force is the force that a surface exerts on an object in contact with it, perpendicular to the surface. It is called the "normal" force because it is perpendicular ("normal" is a mathematical term meaning perpendicular) to the surface of contact. The normal force is equal in magnitude and opposite in direction to the component of the weight of the object that is perpendicular to the surface.
Assuming the inclined plane is frictionless, the only force acting on the object perpendicular to the plane is the normal force. The normal force (N) is equal and opposite to the force of gravity (mg) on the object, where m is the mass of the object and g is the acceleration due to gravity.
Using trigonometry, we can find the component of the force of gravity acting perpendicular to the inclined plane:
F_perpendicular = mg cos(theta)
where theta is the angle of inclination. In this case, theta = 25.0°, so we have:
F_perpendicular = (16.2 kg)(9.81 m/[tex]s^{2}[/tex]) cos(25.0°) ≈ 145.8 N
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A uniform capillary tube contains dry air enclosed by a mercury pellet at 27 °C The length of enclosed air is 30 cm. When the tube is immersed in a boiling liquid, the length of air column is increased by 10 cm. The boiling temperature of this liquid is..
Answer:
This temperature is equivalent to 87°C.
.
a fast pitch softball player moves her hand in a circular arc. if she releases the ball with a speed of 34.3 m/s and a centripetal acceleration of 1960 m/s/s. how long is her arm (meters) from the pivot point in her shoulder.
The length of the fast pitch softball player's arm from the pivot point in her shoulder when she releases the ball with a speed of 34.3 m/s and a centripetal acceleration of 1960 m/s/s is 0.6 meters.
Given:
Speed of the ball = 34.3 m/s, Centripetal acceleration = 1960 m/s²
Let the length of her arm from the pivot point in her shoulder = L
We know that, The centripetal acceleration of an object can be calculated by the formula as follows :
a = v²/r
Where, v is the speed of an object, r is the radius of the circle.
a = (v × v)/r
1960 = (34.3 × 34.3)/r
1960 = 1176.49/r
r = 1176.49/1960
r = 0.6 m
Therefore, length of her arm from the pivot point in her shoulder is 0.6 m.
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what is the angular momentum about the origin of a particle with a mass of 500 g when it is located at
The angular momentum of the particle about the origin is (8t + 6) i - 20t j - (10t + 6) k.
The angular momentum of a particle is given by the cross product of its position vector and its linear momentum vector,
L = r x p
where L is the angular momentum, r is the position vector, and p is the linear momentum.
m = 500 g = 0.5 kg
r = 4t + 3j - 2k m
v = 5t - 2j + 4k m/s
To find the linear momentum,
p = mv
Substituting the given values,
p = (0.5 kg) x (5t - 2j + 4k) = 2.5t kg m/s - j kg m/s + 2k kg m/s
To find the position vector in terms of its components,
r = 4t i + 3j - 2k
Taking the cross product of r and p,
L = r x p
= (4t i + 3j - 2k) x (2.5t i - j + 2k)
= (8t + 6) i - 20t j - (10t + 6) k
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--The complete question is, What is the angular momentum about the origin of a particle with a mass of 500 g when it is located at r = 4t + 3j - 2k m and moving at 5t - 2j + 4k m/s?--
Sound travelling at 330ms encounters the wind blowing in the same direction at 40ms ¹. Calculate the distance the sound will cover in a time of 15s.
Wind was blowing in the exact same direction meets the sound traveling at 330 ms at a distance of 40 ms. Determine the distance the noise will travel in 15 seconds.
What on Earth generates wind?
Almost all of the winds on Earth have a direct link to the Sun. Air rises and falls as the Earth's surface is unevenly warmed by the Sun, creating high and low areas of air pressure. As pressure increases, the surrounding air fills in to replenish it as the pressure drops, creating wind.
What part does wind play in the development of landforms?
Such winds only occur at the lowest layers of the troposphere and have a localized extent. Since it is the primary geomorphic force responsible for sculpting different landforms, the wind system drives the evolution of different landforms on the earth's surface. Further information on the Erosion and Diagenetic effect of winds can be found here.
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When does an object moving in a straight line at constant speed have a non-zero angular momentum?
a) never
b) always
c) sometimes
Answer: Yes, it can be possible that an object have non zero angular momentum.
Explanation:
There is a concept of frame of reference.
When your frame of reference is not on that straight line where the object is moving then the object will have non zero angular momentum .
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What measurements are taken at the scene of the accident that helps them understand the motion of the car and the reaction of the driver?
Answer:
tire tracks? I'm not sure
a 28-kg k g chandelier hangs from a ceiling on a vertical 4.0-m m -long wire. part a what horizontal force would be necessary to displace its position 0.12 m m to one side?
The required horizontal force to displace the position of a 28-kg chandelier is 33 N.
Here's how to calculate it:
Given: Mass of chandelier, m = 28 kg, Length of the wire, l = 4.0 m, Displacement of position, d = 0.12 m
When the chandelier is in a state of equilibrium, the tension T in the wire and the weight W of the chandelier must be equal.
The tension in the wire is equal to the force that is pulling the chandelier upwards. This force is acting at an angle of 90 degrees to the horizontal component of the tension in the wire.
Here, we can see that the chandelier is moving in a horizontal direction, so we need to calculate the horizontal component of the tension in the wire.
Taking moments about the point where the wire is attached to the ceiling: Anti-clockwise moments = clockwise moments
W * l = F * dF = (W * l)/d
Where W = mg (mass x gravity)
F = (28 kg x 9.8 m/s² x 4 m)/0.12 m= 33 N
The horizontal force required to displace the position of the chandelier 0.12 m to one side is 33 N.
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A 22 kg child is riding a 5.8 kg bike with a velocity of 4.5 m/s to the northwest. A) what is the total momentum of the child and the bike together? Answer in units of kg • m/s.
B) What is the momentum of the child? Answer in units of kg • m/s.
Total kinetic energy of a ostrich/child/bike is given by ptotal (= postrich + pchild/bike => 27.8 kg/m/s - 4.5 kg/m/s = 23.3 kg/m/s (in J). A body with mass m kg travelling at a speed of v m/s has momentum M = m*v kg*m/s.
So what is a good example of momentum in plain language?Momentum can be thought of as a brain's "power" or the force that it can apply to another body while it is moving. For instance, a bowling ball with a heavy mass that is moving very slowly (low velocity) may have the same momentum as a baseball with a little mass that is thrown swiftly (high velocity).
Which moves forward more, a car or a truck?More force is being applied to the truck than to the automobile. In motion, inertia is referred to as momentum. Momentum is calculated as the sum of an entity's mass and velocity. A tow van has far more momentum compared to a car driving at the exact same speed due to its increased weight.
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A runner is finishing up the last leg of a 5K run. Identify and explain which organelle(s) would be heavily involved in providing the runner’s cells with energy.
The mitochondria play a significant role in supplying the final leg of a 5K runner's cells with energy.
Which organelle would be crucial in supplying energy to runners' cells?The mitochondria are a key organelle in supplying the runner's cells with energy throughout the final portion of a 5K run. Since mitochondria are in charge of manufacturing ATP (adenosine triphosphate), the currency of the cell, through the process of cellular respiration, they are referred to as the "powerhouses" of the cell. The need for ATP rises during activity, and the mitochondria work harder to supply this need by converting glucose and other fuel molecules into ATP.
As a result, the cells of runners would need to have a high level of mitochondrial activity in order to give them the energy they need to finish the race.
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a 0.45-t magnetic field is perpendicular to a circular loop of wire with 53 turns and a radius of 15 cm. if the magnetic field is reduced to zero in 0.12 s, what is the magnitude of the induced emf?
According to Faraday's Law of Electromagnetic Induction, the magnitude of the induced EMF is directly proportional to the rate of change of magnetic flux with time, in this case the magnitude of the induced EMF in the wire is 14.05 V
The magnetic field through a loop of wire changes when it is exposed to a changing magnetic field. This induces an EMF in the wire.
The magnitude of the induced EMF is given by: ε = - N (dφ / dt)
where, N = number of turns of the wire in the loop
φ = magnetic flux
The rate of change of magnetic flux through the loop with time is given by:
[tex]\frac{d\phi}{dt}= \frac{d}{dt}(BAcos\theta) = AB (\frac{d}{dt}cos\theta)[/tex]
where,
B is the magnetic field,
A is the area of the loop, and
θ is the angle between the plane of the loop and the direction of the magnetic field.
In this case, a circular loop of wire with 53 turns and a radius of 15 cm is exposed to a perpendicular magnetic field of magnitude 0.45 T.
Therefore, the magnetic flux through the loop is given by:
φ = BA = πr²B= π (0.15 m)² (0.45 T) = 0.0318 Wb
When the magnetic field is reduced to zero in 0.12 s, the rate of change of magnetic flux with time is:
dφ/dt = -φ / t = (-0.0318 Wb) / (0.12 s) = -0.265 T/s
Therefore, the magnitude of the induced EMF in the wire is:ε = - N (dφ / dt) = - (53) (-0.265) V = 14.05 V
Therefore, the magnitude of the induced EMF in the wire is 14.05 V.
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