The string will extend when the object is moved to the right, applying a restoring force to bring the weight back to its equilibrium position. The string will compress if the object is pushed to the left, and it will then exert a restoring force to bring the thing back to its starting position.
What is the impact of mass on restoring force?The displacement diminishes as the mass comes closer to the equilibrium position, and as a result, the restoring force and acceleration both decrease. There is no restoring force once the mass has reached equilibrium.
What influences how quickly waves go down a stretched string?The linear density of the string and the tension in the string both affect how quickly a wave moves along a string. A string's linear density is its mass per unit length. In general, a wave's speed is determined by the square root of the medium's elastic property to inertial property ratio.
How does string mass affect the wave's speed?The speed would be higher in the low linear mass density of the string because the speed of a wave on a string is inversely proportional to the square root of the linear mass density.
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If the electron were replaced with a proton moving with the same velocity, how would the resulting acceleration of the particle change?.
As a result, the proton will accelerate in a manner opposite to that of the electron, both in terms of amplitude and direction.
what is A description of an accelerationAcceleration is the term for how quickly and in what direction a velocity varies over time. Acceleration is the change in direction or speed of a moving object that is moving ahead.
What is the acceleration unit?Meter per second per minute (m/s2) is the unit of acceleration. Definition. The force known as the snewton is that which, when applied to a mass of one kilogram, results in an acceleration from one metre per second per second.
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listed following are several stars found in the disk and halo of the milky way galaxy. assume that both the blue and yellow disk stars are members of the same open cluster. rank the stars based on the abundance of elements heavier than carbon that you would expect to find in each of the stars, from highest to lowest. if you expect two (or more) stars to have approximately the same abundance, rank them as equal by dragging one on top of the other(s).
a) hot, blue mains sequence star in open cluster in disk.
b) red main sequence star in globular cluster M13
c) yellow main sequence star in open cluster in disk.
d) red giant in globular cluster M13.
I just put (heaviest abundance - lowest abundance) at
c - a - (c and d)
Highest Abundance: Yellow main-sequence star in open cluster in disk AND hot, blue main-sequence star in disk.
Lowest Abundance: red giant in globular cluster M13 AND red main-sequence star in globular cluster M13.
What is abundance?
Astronomers refer to all chemical elements heavier than hydrogen or helium as metals, including elements such as carbon and oxygen that are not normally considered metals. The metallicity of a star is therefore given as the proportion of these "metallics" in the stellar mass. About 2% for the Sun.
However, this definition cannot fully define the chemical composition of stars. Because you can achieve the same amount of metal in an almost infinite number of ways. For example, a star with a particular metallicity may have all of its metals iron, and another star with the same total metals content may have all of its metals oxygen. In the world, the entire periodic table of elements is present in every star, but the relative abundance of each element varies from star to star.
To quantify the relative abundance of individual elements in a star, astronomers define the "abundance ratio" as the logarithm of the ratio of the star's two metallic elements to the ratio of the Sun.
Therefore,
Highest Abundance: Yellow main-sequence star in open cluster in disk AND hot, blue main-sequence star in disk.
Lowest Abundance: red giant in globular cluster M13 AND red main-sequence star in globular cluster M13.
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Wind resistance created by opening windows while driving results in a fuel penalty as great or greater than is incurred by using air conditioning.
(A) as great or greater than is incurred by using air conditioning
(B) that is as great or greater than is incurred using air conditioning
(C) as great as or greater than that of using air conditioning
(D) at least as great as air conditioning's
(E) at least as great as that incurred by using air conditioning
As much redundancy as possible. A,B,C->out. D=inaccurate comparison A fuel penalty "as big as" that caused by using air conditioning is encountered when windows are opened while driving.
How much does the car resist?The set of forces that act to prevent your vehicle from moving forward is known as rolling resistance. The degree of friction between the tires and the road, gravity, inertia, air drag, and the weight of the vehicle are all factors.
How much overall driving resistance is there?Total resistance refers to the entire amount of force preventing a vehicle from moving, including frictional forces inside the drivetrain.
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a wave with wavelength of 3 m long oscillates 1.5 times each second. what's the speed of the wave? (in m/s)
A wave of 3 m in length oscillates 1.5 times every second. The wave moves at a pace of 4.5 m/s.
What use does wavelength serve?The length of such a wave is expressed by its wavelength. The wavelength is the distance between one wave's crest and the following wave's crest. The wavelength can also be determined by measuring from "groove" (bottom) of one pulse to the "trough" of the following wave.
Briefing:Given:
Number of oscillation per seconds = 1.5
Wavelength; λ = 3m
Speed of the wave; ν = ?
The number of instances of a repeating phenomena per unit of time is what we meant by frequency.
Given that the pulse oscillates 1.5 times per second, its frequency is 1.5 Hz.
Speed = ν*f
ν = 3m * 1.5Hz
ν = 3m * 1.5s⁻¹
ν = 4.5ms⁻¹
ν =4.5 m/s
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What happens to the gravitation force between two objects that are 15 m apart, when one of them moves 3 m closer? (1 point).
Answer: The gravitation force between two objects that are 15 m apart, when one of them moves 3 m closer then it increases by a factor of 1 9/16.
Reason:
Mathematically it can be represented as, F = Gm1m2/r2 Where, F is the Gravitational force between two objects measured in Newton (N). G is the Universal Gravitational Constant with a value of 6.674 × 10-11 Nm2kg-2.
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what is the magnitude of the resulting force on the 8 kg mass at the origin? the value of the universal gravitational constant is 6.6726 × 10−11 n · m2 /kg2 . answer in units of n.
As per the details given, the magnitude of the resulting force on the 8 kg mass at the origin due to the gravitational attraction of the other two masses is 1.09 x 10⁻¹¹ N.
To calculate the magnitude of the resulting force on the 8 kg mass at the origin, we need to consider the gravitational forces exerted by the other two masses.
Let's assume the mass at the origin is M₁ = 8 kg, the mass at (0, 6) is M₂ = 16 kg, and the mass at (8, 0) is M3 = 4 kg.
The gravitational force (F) between two masses M₁ and M₂ is given by Newton's law of universal gravitation:
F = G * (M₁ * M₂) / r²
where G is the universal gravitational constant (6.6726 × 10⁻¹¹ N·m²/kg²), M₁ and M₂ are the masses, and r is the distance between the centers of the masses.
1. Gravitational force between M₁ and M₂:
Distance between M₁ and M₂:
r1 = √(0² + 6²) = 6 m
Gravitational force between M₁ and M₂:
F1 = G * (M1 * M2) / r₁²
F1 = 6.6726 × 10⁻¹¹ * (8 kg * 16 kg) / (6 m)²
F1 ≈ 1.0660 × 10⁻¹⁰ N
2. Gravitational force between M₁ and M₃:
Distance between M₁ and M₃:
r₂ = √(8² + 0²) = 8 m
Gravitational force between M₁ and M3:
F₂ = G * (M₁ * M₃) / r₂²
F₂ = 6.6726 × 10⁻¹¹ * (8 kg * 4 kg) / (8 m)²
F₂ ≈ 2.0015 × 10⁻¹¹ N
Now, the resulting force on M₁ is the vector sum of the forces F₁ and F₂. Since the forces are acting along the x-axis and y-axis, we can use the Pythagorean theorem to find the magnitude of the resulting force:
Magnitude of the resulting force on M1:
F' = √(F₁² + F₂²)
F' = √((1.0660 × 10⁻¹⁰ N)² + (2.0015 × 10⁻¹¹ N)²)
F' ≈ √(1.1363 × 10^(-20) N² + 4.0060 × 10⁻²² N²)
F' ≈ √(1.1769 × 10⁻²⁰ N²)
F' ≈ 1.09 × 10⁻¹¹ N
Thus, the resulting force on the 8 kg mass at the origin is approximately 1.09 × 10⁻¹¹ N.
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A proton and an electron are placed in an electric field. Which undergoes the lesser acceleration?.
Putting a proton or an electron in an electric field causes the proton to accelerate less.
Describe the electric field.The electric force on such a charge at a given point in space is equal to that point's electric field times the quantity of charge present there. The electric field is the amount much electric force per charge. Recapitulating, electric charges produce an electric field.
what is An example of an electric field i?The area of space around like an electrically charged molecule or object that exerts force on the charge body is known as the electric field. Examples include the creation of electric fields by charges and their arrangements, such as in capacitors and battery cells.
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a 1,000-mw (el) power plant working at 35% thermal efficiency 100% of the time (base load) uses coal with formula ch and a heating value of 30 mj/kg. how much co2 does this plant emit (metric tons/y)?
The amount of CO₂ emitted by the plant is 7773579.832 metric tonnes per year.
Power of the plant = Capacity of the plant = 1000 MW
Working efficiency = 35%
Time = 100%
Heating value of coal = 30 mj/Kg
One year KWh of the plant =
= 1000 X 1000 X 365 X 24
= 31536 X 10¹² metric tonnes per year
Amount of coal =
= (31536 X 10¹² ) / (30 X 10⁶ X 0.35)
= 3003428571 Kg
Thus, the amount of CO₂ emitted by the plant =
= (3003428571 X 44) / 17
= 7773579832 Kg/ year
= 7773579.832 metric tonnes per year
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The average kinetic energy of gas molecules is ________ proportional to the absolute temperature.
The average kinetic energy of a gaseous molecules is directly proportional to the absolute temperature. This indicates that the motion of all the molecules stops if the temperature decreases to absolute zero.
What is average kinetic energy?The product of each gas molecule's half mass and its square RMS speed yields the average kinetic energy of a gas molecule. In mathematical terms,
[tex]K=\frac{1}{2}mv_{rms}^{2}[/tex]
Here, K = Average kinetic energy
m = Mass
vrms = RMS velocity.
What is absolute temperature?The Kelvin scale, where 0 represents absolute zero, is used to measure absolute temperature. The temperature at which matter's particles move the least and cannot cool down is known as the zero point (minimum energy).
How average kinetic energy is related to absolute temperature?[tex]K=\frac{1}{2}mv_{rms}^{2}\\[/tex]
Now, [tex]v_{rms} = \sqrt{\frac{3RT}{M} }[/tex]
Substituiting the value vrms we get,
[tex]K=\frac{1}{2}mv_{rms}^{2}\\\\K= \frac{3}{2} RT[/tex]
Thus from the above equation we can see that a gas particles average kinetic energy is directly proportional to the absolute temperature (T) of the gaseous particles. All the gases at the same temperature have the same average kinetic energy (K).
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4.127 a model solid propellant rocket has a mass of 69.6 g, of which 12.5 g is fuel. the rocket produces 5.75 n of thrust for a duration of 1.7 s. for these conditions, calculate the maximum speed and height attainable in the absence of air resistance. plot the rocket speed and the distance traveled as functions of time.
The maximum speed and height attainable in the absence of air resistance is 139.2 m/s and 1100m.
Umax = U(t = t’ = 1.7 sec) = 139.2 m/s (h(t = t’) = 114 m)
hmax = h(t = tm = 15.9 sec) = 1100 m
Assume that the rocket's mass flow rate is constant. Assume, too, that the thrust will remain constant throughout the burn.
Apply the rocket's frame of reference to the CV displayed and the linear momentum equation in the y-direction.
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I understand that the question you are looking for is:
A model solid propellant rocket has a mass of 69.6 gm, of which 12.5 gm is fuel. The rocket produces 1.3 lbf of thrust for a duration of 1.7 sec. For these conditions, calculate the maximum speed and height attainable in the absence of air resistance. Plot the rocket speed and the distance traveled as functions of time
A student in an electronics lab is studying the electrical properties of pieces of graphite. The
student applies a potential difference of 24 V across the length of a cylindrical piece of graphite
with a radius of 0.5 mm. The student has another piece of graphite of the same length but with a
radius of 0.7 mm. The student wants the same current in both pieces of graphite. What potential
difference should the student apply across the 0.7 mm piece?
A) 6 V B)12 V C) 17 V D) 24 V
The student should apply a 17V potential differential across the 0.7 mm piece.
How may potential differences be found?The potential difference between places A and B is defined as the change in potential energy (PE) of a charge (q) transported from A to B, divided by the charge (V = VB - VA).
The joules per coulomb, sometimes known as volts (V) in honor of Alessandro Volta, are the units of potential difference.
The change in potential energy (PE) of a charge (q) transported from point A to point B, divided by the charge, is thus used to determine the potential difference between points A and B as V = VB - VA.
Volt is the SI unit for electrical potential. V stands for it.
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1.how high will the station have to above the normal train track be for 100,000 kg train going 100 km/hr to come to a stop?
The calculated answer is 1000 m. Since we must suppose that there isn't any external net force operating on the system of the two trains, this is an issue about momentum conservation.
When the trains clash, there will be a collision force between them, but since we have defined the system as the two trains, the force is internal to the system.
The starting momentum of train 1 plus train 2 equals the end momentum of train 1 plus train 2, or p1 + p2 = p1′ + p2′. However, train 2 has no momentum because we are aware that it is at rest. That enables us.
Since p = mv,
v1 = v2,
and m is a constant, the revised form of the equation is p1 + 0 = p1′ + p2′.
either mv1 = 2mv or mv1 = (m + m) v.
=100000/100
=1000 km
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two blocks are stacked on top of each other on the floor of an elevator as shown. the mass of block 2 (bottom) is 3.0 kg and the mass of block 1 (upper) is 2.0 kg. the elevator is accelerating upwards at a constant rate of 1.6 m/s2.
The magnitude of force that block 2 exerts on the floor of the elevator is 57 N.
Mass of block 1 = m = 2Kg
Mass of block 2 = M = 3Kg
Acceleration of the elevator = 1.6 m/s
The magnitude of force exerted by block 2 = N =
= Using Newton's second law of motion
= N - w = (m + M) X a
= N - (m + M) X g = (m + M) X a
And we know that total force = m X a
= N = (m + M) X (g + a)
= N = (3+2) X (9.8 + 1.6)
= N = 5 X 11.4
= N = 57 N
Thus, the force exerted by block 2 on the elevator floor is 57 Newtons.
The complete question:
two blocks are stacked on top of each other on the floor of an elevator as shown. the mass of block 2 (bottom) is 3.0 kg and the mass of block 1 (upper) is 2.0 kg. the elevator is accelerating upwards at a constant rate of 1.6 m/s2. What is the force exerted by block 2 on the floor of the elevator?
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which property of an object will not be changed by moving it from one place on the earth to another?
By shifting an object from one location on the planet to another, its mass will remain unchanged.
What is an object in a sentence?To refer to the item or person that is the target of an action, we typically use the word "object." Alternatively, the recipient. In a sentence, a verb's action is transferred to a noun or pronoun as a direct object. It typically responds to the what- or whom-questions regarding the verb.
What is a picture or an object?Icons, cursors, buttons, sprites, and other complicated artworks can be made from a collection of simple visual pieces called image objects. Without having to sketch a single pixel, Image Objects let you express creativity.
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which objects should be included in the system for an analysis based on energy? select all that apply.
The energy can be described when we involve The spring and the block.
What is energy?We know that energy is the ability to do work. From the first law of thermodynamics, the energy that is possessed by a body could be transformed from one form to another. As such, energy can not be created nor destroyed in a system.
The system as described in the question is involved in some kind of energy conversion. In this case, a compressed spring launches a block up an incline. We can see that the spring potential energy of the block is being transformed to the kinetic energy of the block that is in motion as has been designated in the description of the question here.
This is the kinetic energy that launches the block forward as it moves up the ramp.
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Missing parts
A compressed spring launches a block up an incline.
Which objects should be included within the system in order to make an energy analysis as easy as possible?
Check all that apply.
Spring
Ramp
Air
Block
Earth
A 60kg tudent (including the hang glider) i initially traveling 26m/ to the right a he hanglide off the top of a 30m tall building. During the flight the ytem experience a 426N upward lift force and a 74N drag to the left. What i the magnitude of her vertical acceleration?
What i the magnitude of her horizontal acceleration?
How long will he remain in the air?
How far from the bae of the building will he land?
A. The magnitude of her vertical acceleration during flight is 2.7 m/s².
B. The magnitude of her horizontal acceleration during flight is - 1.23 m/s².
C. The student will remain in the air for 4.71 s.
D. The distance between the student and the building when she land is 108.78 m.
When a student uses a hang-glider from the top of a building, she goes on a path like a parabolic curve because she is doing a projectile motion.
In vertical axisTwo forces are working on her.Weight force Mass of the student = m = 60 kgIn horizontal axis
There is a force that drags her to left.In vertical axis
The initial speed = u = 0 m/sThe acceleration = a = 2.7 m/s²Height = h = 30 mAccording to non-uniform motionIn horizontal axis
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write the y(x,t) equation for a wave travelling in the positive x-direction with a wavelength of 50.0 cm, speed of 4.00 m/s, and amplitude of 5.00 cm. be sure to include units where appropriate.
The y(x,t) equation of wave travelling in the positive x-direction is y = 0.05 cos ( π (16t - 4x)).
Wavelength of the wave = λ = 50.0 cm = 0.5 m
Speed of the wave = s = 4 m/s
Amplitude of the wave = A = 5 cm = 0.05 m
The y(x,t) equation of the wave is =
= Using sine wave equation
= y = A cos (ωt - kx)
Here, (ωt - kx) means that the wave is travelling in positive x-direction.
Now, ω = 2πf
= 16π rad/s
Thus, Frequency of the wave = f =
= speed / wavelength
= s / λ
= 4 / 0.5
= 8 Hz
Now, value of k =
= k = 2π/λ
= k = 4π
Substituting these values in the sine wave equation,
= y = A cos (ωt - kx)
= y = 0.05 cos ( 16πt - 4πx)
= y = 0.05 cos ( π (16t - 4x))
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calculate the average kinetic energy of the ch4 molecules in a sample of ch4 gas at 273 k and at 585 k. 273 k webassign will check your answer for the correct number of significant figures. j/mol 585 k webassign will check your answer for the correct number of significant figures. j/mol
The average kinetic energy of the methane CH₄ molecule at 273K and 585K is 565 x 10⁻²¹ J and 1.21 x 10⁻²⁰ J. respectively.
The average kinetic energy of a gas molecule is given by the formula,
K = 3/2K'T
Where,
K is the average kinetic energy,
K' is the Boltzmann constant,
T is the temperature.
So, putting values, to find the average kinetic energy of CH₄ molecule, first for 272K
K = 3/2 x 1.38 x 10⁻²³ x 273
K = 565 x 10⁻²¹ J
Now, for 585 K,
K = 3/2 x 1.38 x 10⁻²³ x 585
K = 1.21 x 10⁻²⁰ J.
So, these are average kinetic energies of the CH₄ molecule at 273K and 585K.
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a car can just make it around a curve without slipping at 27 m/s when the coefficient of friction is 0.7. find the radius of the curve.
The radius of curvature of a car to turn without slipping is 106.27 m.
When a car travels around a curve without slipping, it means all forces in balanced. Two forces are working in the car
Centripetal forceAccording to Newton's first law
∑F = 0
Fc - f = 0
Fc = f
[tex]m \frac{v^2}{R} = \mu m g[/tex]
v² = μgR
27² = 0.7 × 9.8 × R
729 = 6.86 × R
R = 729 ÷ 6.86
R = 106.27 m
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a capacitor operating at 300 volts must be discharged to what voltage within 1 minute after it is disconnected from its supply?
A capacitor operating at 300 volts must be discharged to a voltage of 50 volts or less within one minute after it is disconnected from its supply.
The capacitor undergoes charging and discharging cycles when connected to a circuit. When a capacitor is discharged during operation, some part of the charge remains in the capacitor. Therefore, the capacitor does not discharge itself completely during normal operation.
Even after disconnecting the circuit, some charge will be left over in the capacitor (unless it is manually discharged). This charge that remains in the capacitor is known as a residual charge.
Reduce a capacitor's residual voltage to 50 volts or less within 5 minutes after the capacitor is disconnected from the supply source.
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A laser with wavelength d/8 is shining light on a double slit with slit separation 0.400mm . This results in an interference pattern on a screen a distance L away from the slits. We wish to shine a second laser, with a different wavelength, through the same slits.
Part A: What is the wavelength ?2 of the second laser that would place its second maximum at the same location as the fourth minimum of the first laser, if d = 0.400mm ? Express your answer in millimeters.
The wavelength of the second laser is 0.170mm.
What is wavelength?
The distance over which a periodic wave's shape repeats is known as the wavelength in physics. It is a property of both travelling waves as well as standing waves in addition to other spatial wave patterns. It is the distance between two consecutive intersection point of the same phase just on wave, such as two adjoining crests, troughs, as well as zero crossings. The spatial frequency is the reciprocal of wavelength. The Greek letter lambda () is frequently used to represent wavelength. The term wavelength also is occasionally used to refer to modulated waves, their sinusoidal envelopes, or waves created by the interference of multiple sinusoids.
The distance between the successive maxima and minima of the interference pattern is given by the equation
d/λ = L sin θ
where θ is the angle between the slits and the screen. Since the second laser must produce a maximum at the same location as the fourth minimum of the first laser, the angle θ is equal to 4 times the angle between the first laser and the screen. Thus, the wavelength of the second laser is given by the equation
λ2 = (d/L) sin(4θ)
Substituting in the given values, we have
λ2 = (0.400mm/L) sin(4θ)
where θ is the angle between the first laser and the screen. The value of θ can be found using the equation
d/λ1 = L sin θ|
where λ1 is the wavelength of the first laser. Substituting in the given values, we have
θ = sin-1(d/λ1L)
Substituting this into the equation for λ2, we get
λ2 = (0.400mm/L) sin(4sin-1(d/λ1L))
Therefore, the wavelength of the second laser is given by
λ2 = (0.400mm/L) sin(4sin-1(d/0.400mm/8))
= 0.400mm sin(4sin-1(1/8))
= 0.400mm x 0.425
= 0.170mm
Therefore, the wavelength of the second laser is 0.170mm.
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a sound has a frequency of 1000 hz. if a listener moves with a speed of 30 m/s away from the source, what is the frequency heard by the observer? (the sound speed is 340 m/s.)
The frequency heard by the observer is 923 Hz, which is lower than the frequency emitted by the source (1000 Hz).
What is frequency?
The term "disturbance" refers to a moving disturbance. These mechanical waves, which are numerous and must pass through a medium like air or water, must travel. In addition to a vacuum, other types of waves, such as electromagnetic waves, can pass through solid objects. The frequency and wavelength of a wave are two examples of the distinct characteristics that help describe its motion and energy. It is generally understood that frequency refers to the regularity of an event, or more specifically, the regularity of a wave. The wave count that pass through a point in a predetermined amount of time is how frequently waves occur. The amount of waves which pass a point inside one second is another way to define frequency.
The frequency heard by the observer is lower than 1000 Hz. This is due to the Doppler effect, which states that the frequency of a sound heard by an observer moving away from the source is lower than the frequency of the sound emitted by the source.
The change in frequency is given by the formula:
f' = f (v + v_s) / (v - v_o)
where f' is the frequency heard by the observer, f is the frequency emitted by the source, v is the speed of sound, v_s is the speed of the source, and v_o is the speed of the observer.
In this case, f' = 1000 Hz (340 + 0) / (340 - 30) = 923 Hz.
Therefore, the frequency heard by the observer is 923 Hz, which is lower than the frequency emitted by the source (1000 Hz).
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why does michael jordan appear to defy gravity as he slam dunks the ball? (after you have thought about this question, see page 68 of your textbook.)
Michael jordan appears to defy gravity because His motion is that of a projectile, and a projectile's motion is such that its vertical speed is minimal while at the high point of its trajectory.
What do you mean by projectile motion?
Projectile motion is a form of motion experienced by an object or particle that is projected in a gravitational field, such as from Earth's surface, and moves along a curved path under the action of gravity only. Examples of projectile motion include throwing a ball straight upward, kicking a ball and giving it a speed at an angle to the horizontal, or simply dropping an object and allowing it to free fall. In all cases, gravity is the only force acting on the object.To know more about Projectile motion here
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Kamal's family is leaving for merry mountain resort once his parents get home from work on friday. Their house is 627 miles from the resort. They plan to stop and spend the night at a hotel after 4 hours of driving, then complete the rest of the trip on the second day. Their average speed is 60 miles per hour. Which equation can you use to find how long, x, they will drive on the second day?.
The time taken by Kamal's family to drive on the second day is 6.45 hours.
What is speed?
Speed is defined as the ratio of the time it takes for a body to cross a distance to the time it takes.
The time is calculated as:-
For 4 hours of driving at an average speed of 60 miles per hour, the distance covered is,
d = 60 x 4 = 240miles
Miles remaining for the second day is,
627 - 240 = 387 miles
Time taken to cover 387 miles second day is,
T = 387 / 60 = 6.45 hours
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Suppose a paper rocket has a mass of .023 kg. The rocket travels at a velocity of 6.6 m/s and then hits the ground sliding to a stop. If the rocket travels 15 m in coming to a rest what is the work done by friction?
Answer:
.5 J
Explanation:
KInetic Energy of the rocket = 1/2 mv^2 = 1/2 .023 * 6.6 = .5 J
the work of friction has to equal this .5 J
If the sun mysteriously gets twice as massive as it is right now, what effect will it have on its pull on mars?.
This can be determined by using Newton's law of gravitation. As the gravitational force between Mars and sun can be matched snd hence the sun's effect on Mars can be determined.
How to determine the gravitational force between sun and Mars?
We know, gravitational force is
F=GMmr²
The variables M and m here represent the masses of the Sun and Mars. From this relationship, we can tell that each mass is directly proportional to the force;
F ∝ MF ∝ m
Therefore, any factor that gets multiplied to either mass directly affects the force in the same way. If the sun were twice as massive, then its pull on Mars should thus also twice as much.
This, we are assuming when factors like the mass of Mars and the distance between the Sun and Mars is unchanged.
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While marching, a drum major tosses a baton into the air and catches it. The height h (in feet) of the baton after t seconds can be modeled by h =—16t2+32t+6. How long is the baton in the air?
A drum major tosses a baton into the air and catches it and how long is the baton in the air is 22 feet
The heightis h of a baton function of time is t
h=−16t²+32t+6
dh/dt=d/dt(−16t²+32t+6)
=−32t+32
d²h/dt²=−32<0
For maximum height h, we have
dh/dt=0
−32t+32=0
t=1
Setting t=1 in the function of height, the maximum height of baton will be obtained at time t=1 sec
h(1)=−16(1)2+32(1)+6
=22 feet
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under normal conditions, when is the only time that an oil film does not keep engine parts separated?
An oil film does not keep engine parts separated when:
The oil level is too low.The oil is too dirty.The oil is too old.The Importance of a Good Oil Level in EnginesThe proper functioning of engines depends on many factors, but one of the most important is the level of oil. Oil lubricates and protects the internal parts of the engine, keeping them apart.
This helps prevent wear and friction between moving parts, ensuring optimum performance. If the oil level is too low, the engine parts will not be adequately lubricated and separated, which can result in serious problems.
Therefore, it is essential to maintain the oil level at an adequate level. To do this, it is recommended to check the oil level regularly.
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why do we say that force is a vector quantity? it has magnitude only because forces can be unbalanced it has direction only it has magnitude and direction because forces can be balanced next
The fact that force has both a magnitude and a direction makes it a vector quantity.
Explanation
A force has a direction and a magnitude.
Force in Balance and Disproportion A force is a vector quantity since it has both magnitude and direction. The strength of a force can be expressed mathematically as its magnitude. The force's direction is the direction in which it pushes or pulls something. Two forces that are the same in size but acting in opposite directions are not equal. The newton (N), which bears Sir Isaac Newton's name, is the SI unit of force. Due to Earth's gravity, weight is also a form of force; as a result, the SI unit for weight is also a newton.
The fact that force has both a magnitude and a direction makes it a vector quantity.
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humans can produce an output power as great as 20 w/kg during extreme exercise. sloths are not so energetic. at its maximum speed, a 4.0 kg sloth can climb a height of 6.0 m in 2.0 min.
Specific Power S.P=0.49 W/kg
The power when an amount of energy ΔE is transferred in a time interval Δt is given by:
P= Δt/ΔE.........(1)
The gravitational potential energy of an object of mass m at height y (assuming [tex]U_g = 0[/tex] at y = 0) is given by:
[tex]U_g[/tex] = mgy.........(2)
The specific power of a person (or animal, machine, or device) of mass m doing the transformation or the work is given by:
specific power= mass of agent causing the transformation of transfer /power of a transformation or a transfer
The mass of the sloth is m= 4 kg and it climbs a height of h = 6 m in Δt=20 min 120 s.
Let its initial height be the zero gravitational potential energy level y=0; So its final height is yf = h
So, from equation (2), the change in the sloth's gravitational potential energy is:
ΔE=Uf−Ui =mg(h−0)=mgh
Now, we plug our values for m and h, so we get:
ΔE=(4.0 kg)×(9.8 m/[tex]s^2[/tex])×(6.0 m)
=235 J
Then, we plug our values for ΔE and Δt into equation (1), so we get the output power of the sloth:
P= 120 s/235 J
=1.96 W
Finally, we plug our values for P and m into equation (3), so we get the specific power of the sloth for this climb:
S.P= 4.0 kg/1.96 W
=0.49 W/kg
∴ S.P=0.49 W/kg
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