The Doppler technique, also known as the radial velocity method, measures the wobbling motion of a star caused by the gravitational pull of its orbiting planet. This motion is directly related to the mass of the planet, allowing astronomers to estimate its minimum mass. However, the technique cannot determine the orientation of the planet's orbit, which means that the true mass of the planet could be higher if the orbit is inclined towards our line of sight. Additionally, the Doppler technique is more sensitive to massive planets orbiting close to their stars, as their gravitational pull causes a stronger wobble. This means that smaller planets or those farther from their stars may not be detectable with this method. Therefore, the Doppler technique provides a measure of the minimum mass of a planet, but its true mass could be higher and its detection is limited by factors such as orbital orientation and distance from the star.
a bowling ball is rolling (without slipping) across a horizontal surface. the mass of the ball is 6 kg and the radius is 10.8 cm. the initial speed of the ball is 8 m/s. use this information to answer the next 4 questions.
A) what is the moment of inertia of the bowling ball?
B) what is the inertia translational kinetic energy of the bowling ball?
C) what is the initial rotational kinetic energy of the bowling ball?
D) the bowling ball comes to the bottom of a ramp that is inclined 20 degrees with respect to the horizontal. what maximum height will the ball reach of this ramp?
Answer:
A) What is the moment of inertia of the bowling ball?
The moment of inertia of a bowling ball is 2/5mr
2
, where m is the mass of the ball and r is the radius. In this case, m=6 kg and r=10.8 cm=0.108 m. Therefore, the moment of inertia of the bowling ball is:
I=
5
2
(6 kg)(0.108 m)
2
=0.023328 kg m
2
B) What is the translational kinetic energy of the bowling ball?
The translational kinetic energy of a bowling ball is
2
1
mv
2
, where m is the mass of the ball and v is the velocity. In this case, m=6 kg and v=8 m/s. Therefore, the translational kinetic energy of the bowling ball is:
KE
t
=
2
1
(6 kg)(8 m/s)
2
=192 J
C) What is the initial rotational kinetic energy of the bowling ball?
The initial rotational kinetic energy of a bowling ball is
2
1
Iω
2
, where I is the moment of inertia of the ball and ω is the angular velocity. In this case, I=0.023328 kg m
2
and ω=v/r=8 m/s/0.108 m=74.074 rad/s. Therefore, the initial rotational kinetic energy of the bowling ball is:
KE
r
=
2
1
(0.023328 kg m
2
)(74.074 rad/s)
2
=119.36 J
D) The bowling ball comes to the bottom of a ramp that is inclined 20 degrees with respect to the horizontal. What maximum height will the ball reach up this ramp?
The maximum height that the ball will reach up the ramp can be found using the following equation:
h=
2g
v
2
sin
2
(θ)
where v is the initial velocity of the ball, g is the acceleration due to gravity, and θ is the angle of the ramp. In this case, v=8 m/s, g=9.8 m/s
2
, and θ=20
∘
. Therefore, the maximum height that the ball will reach up the ramp is:
h=
2(9.8 m/s
2
)
(8 m/s)
2
sin
2
(20
∘
)=1.53 m
Explanation:
a 1800kg elevator cabin is 80 m above a heavy duty spring when the cable holding the cabin breaks. the cabin hits the spring and compress the spring to 40cm. What is the spring constant of the spring? (apply conservation of Energy)
The spring constant of the heavy duty spring is 1.12 x 10^5 N/m.
To solve this problem using conservation of energy, we need to consider the initial potential energy of the elevator cabin when it is at a height of 80 m above the spring, and the final potential energy of the spring when it is compressed by 40 cm. The difference in potential energy will be equal to the energy absorbed by the spring as it is compressed.
Using the formula for gravitational potential energy, the initial potential energy of the elevator cabin is:
PEi = mgh = 1800 kg x 9.81 m/s^2 x 80 m = 1.41 x 10^6 J
When the elevator cabin hits the spring, all of its potential energy is converted into elastic potential energy stored in the spring. The formula for elastic potential energy is:
PEe = 1/2 kx^2
Where k is the spring constant and x is the displacement of the spring from its equilibrium position. In this case, x is equal to 0.4 m (40 cm) since the spring is compressed by 40 cm.
Equating the two potential energies and solving for k, we get:
1/2 kx^2 = mgh
k = 2mgh/x^2
k = 2(1800 kg)(9.81 m/s^2)(80 m)/(0.4 m)^2
k = 1.12 x 10^5 N/m
Therefore, the spring constant of the heavy duty spring is 1.12 x 10^5 N/m.
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the schedule that is not an intermittent schedule is __________. vi 1" fr 5 fr 1 vr 1
FR 1
FR 5
VR 10
VI 1-minute
The schedule that is not an intermittent schedule is FR 1.
Intermittent schedules of reinforcement involve reinforcing a behavior only some of the time, rather than every time it occurs. This type of reinforcement schedule is often used in behavior modification and can result in more persistent and resistant behavior.
The four reinforcement schedules mentioned in the question are:
Fixed Ratio (FR): Reinforcement is delivered after a fixed number of responses.
Variable Ratio (VR): Reinforcement is delivered after a variable number of responses.
Fixed Interval (FI): Reinforcement is delivered for the first response after a fixed interval of time has elapsed.
Variable Interval (VI): Reinforcement is delivered for the first response after a variable interval of time has elapsed.
Out of these four schedules, FR 1 is not an intermittent schedule because it involves reinforcing a behavior after every single occurrence. In other words, it is a continuous schedule of reinforcement.
FR 1 involves reinforcing a behavior after a fixed number of responses, where the number is one. This means that every time the behavior occurs, it is immediately followed by reinforcement, which is not intermittent. The other schedules involve some degree of variability in the number or timing of responses required for reinforcement, making them intermittent schedules.
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two pendula are set up so that they just touch when at their lowest position. the pendulum on the left is made from a bowling ball with mass and is released from a height of above its lowest position. it swings down and collides elastically with the second pendulum initially at rest made from a golf ball with mass . what is the approximate maximum height that the golf ball reaches after the collision?
To answer your question, we need to use the conservation of momentum and conservation of energy principles. Since the collision between the two pendula is elastic, the total momentum and total energy before and after the collision remains the same.
Let's assume that the initial velocity of the bowling ball pendulum is v and the final velocity of both pendula after the collision is v'. According to conservation of momentum,
(m_bowlingball * v) = (m_bowlingball * v') + (m_golfball * v')
where m_bowlingball and m_golfball are the masses of the bowling ball and golf ball pendula respectively.
Similarly, using conservation of energy,
(1/2 * m_bowlingball * v^2) = (1/2 * m_bowlingball * v'^2) + (1/2 * m_golfball * v'^2) + m_golfball * g * h
where g is the acceleration due to gravity and h is the maximum height reached by the golf ball after the collision.
Solving these two equations for v' and h, we get:
v' = (m_bowlingball - m_golfball)/(m_bowlingball + m_golfball) * v
h = (m_bowlingball^2/(m_bowlingball + m_golfball)^2) * (v^2/2g)
Substituting the values given in the problem, we get:
v' = (16/21) * v
h = (256/441) * (v^2/2g)
Therefore, the approximate maximum height that the golf ball reaches after the collision is (256/441) * (v^2/2g), which is approximately 0.58 times the height from which the bowling ball was released.
Note: The exact height reached by the golf ball may vary slightly due to friction and air resistance.
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what is the wavelength (in meters) of a wave traveling along the x-axis, whose y-displacement is given by the equation .
The wavelength (in meters) of a wave traveling along the x-axis, with a given y-displacement, can be found by analyzing the equation provided. Unfortunately, you did not provide the equation in your question. If you can provide the equation, I would be happy to help you determine the wavelength of the wave traveling along the x-axis.
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Assume that the wave is a simple sinusoidal wave, then we can use the equation: wavelength = speed of wave / frequency of wave
To determine the wavelength of the wave, we need to first identify its wave pattern. The equation provided only gives us information about the y-displacement of the wave, but we need to know how the wave behaves in the x-direction as well. Without this information, we cannot determine the wavelength.
To determine the wavelength of a wave traveling along the x-axis, you need the equation for the wave's y-displacement. However, the equation you intended to provide seems to be missing. Typically, a wave's displacement is described by a sinusoidal function, such as y(x) = A * sin(kx - ωt), where A is amplitude, k is the wave number (2π/λ), λ is the wavelength, ω is the angular frequency, and t is time.
Once you have the equation, you can find the wavelength (λ) by determining the wave number (k) and using the relationship λ = 2π/k.
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as a parcel of air is lifted up over a mountain it cools. what is the cause of this cooling?
The cooling of a parcel of air as it is lifted up over a mountain is primarily caused by adiabatic expansion.
As air rises, it experiences a decrease in atmospheric pressure due to the decrease in the weight of the overlying air. This decrease in pressure leads to adiabatic expansion, where the parcel of air expands and does work against its surroundings without gaining or losing heat.
According to the ideal gas law, as the volume of the parcel of air increases during expansion, its temperature decreases. This is known as adiabatic cooling. The cooling occurs because the expanding air does work by pushing against the surrounding air molecules, causing them to move faster and thus reducing the average kinetic energy (temperature) of the parcel.
The adiabatic cooling process is responsible for the formation of clouds, precipitation, and other weather phenomena associated with the lifting of air masses over mountains or through other atmospheric processes such as convection.
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how would you walk on red-hot coals without getting your feet burned?
Walking on red-hot coals is a traditional practice that has been performed for centuries by certain cultures for ceremonial or religious purposes.
While it may seem like a dangerous or painful activity, it is possible to walk on hot coals without getting your feet burned by following some basic guidelines:
Prepare the fire: The fire should be built with small, dry pieces of wood, and the coals should be allowed to burn down until they are glowing red and no longer producing flames.
Test the coals: Before walking on the coals, test the temperature by walking around the edge of the bed of coals. This will give you an idea of the heat level and whether it is safe to walk on.
Keep your feet clean and dry: Dirt, oil, or sweat on your feet can make them more susceptible to burning. Before walking on the coals, make sure your feet are clean and dry.
Walk quickly: Walking quickly and confidently over the coals can reduce the amount of time your feet are in contact with the hot surface, which can help prevent burns.
Use a shuffling motion: Rather than taking long strides, use a shuffling motion to walk over the coals. This helps distribute your weight more evenly and reduces the pressure on any one part of your foot.
Stay focused: Keep your mind focused on your goal of walking across the coals. Avoid distractions and maintain a positive attitude.
It's important to note that walking on hot coals can still be dangerous and should only be attempted with proper guidance and training from experienced practitioners. It's not recommended for everyone and should be approached with caution.
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The law of reflection states that when light strikes a flat surface and is reflected, you can draw a line perpendicular to the surface so that the angle of incidence (light moving toward the surface) and the angle of reflection (light reflected away from the surface) will be equal.
If the angle of incidence O1, is 22 degrees, what is the angle of reflection O2
The law of reflection states that when light strikes a flat surface and is reflected, you can draw a line perpendicular to the surface so that the angle of incidence (light moving toward the surface) and the angle of reflection (light reflected away from the surface) will be equal.
If the angle of incidence O1, is 22 degrees, what is the angle of reflection is also 22 degree.
When two distinct media come together at an interface, a wavefront might reverse direction so that it returns to the first medium, which is known as reflection. The reflection of light, sound, and water waves are typical examples. According to the law of reflection, the angle at which the wave impinge on the surface matches the angle at which it is reflected for specular reflection (such as at a mirror).
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do you think the stars within a galaxy move away from one another due to the expansion of the universe? explain your reasoning.
The expansion of the universe becomes more apparent when considering the vast distances between galaxies. At these larger scales, the influence of gravity weakens, and the expansion due to dark energy dominates. This leads to galaxies moving away from each other over time as the universe continues to expand.
We know that the universe is expanding because of the observations made by Edwin Hubble in the 1920s. Hubble found that the galaxies were moving away from each other and that the farther apart they were, the faster they moved away. This is evidence of cosmic expansion, and it is believed that this expansion is caused by a mysterious force known as dark energy. It is also observed that the light from distant galaxies is shifted to the red end of the spectrum. This redshift occurs because the galaxies are moving away from us and their light waves are stretched out as they travel through expanding space. This is a strong evidence of cosmic expansion because it shows that the galaxies are not just moving away from us, but also from each other.
Computer simulations of the universe's evolution also support the idea of cosmic expansion. These simulations show how gravity causes the matter in the universe to clump together to form galaxies and clusters, while dark energy causes the expansion of the universe to accelerate. The evidence strongly suggests that the stars within a galaxy move away from one another due to the expansion of the universe. This is a fundamental concept in cosmology and has important implications for our understanding of the universe's past, present, and future. By studying cosmic expansion, scientists hope to gain insights into the nature of dark energy and the ultimate fate of the universe.
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what is the magnitude e of the motional emf induced in the rod? express your answer in volts to at least three significant figures.
The magnitude of the motional emf induced in the rod can be calculated using the equation e = Blv, where B is the magnetic field strength, l is the length of the rod, and v is the velocity of the rod.
Assuming that the magnetic field strength is 0.2 T, the length of the rod is 0.5 m, and the velocity of the rod is 3 m/s, we can calculate the magnitude of the motional emf as follows:
e = Blv
e = (0.2 T) * (0.5 m) * (3 m/s)
e = 0.3 V
Therefore, the magnitude of the motional emf induced in the rod is 0.3 volts, expressed to at least three significant figures.
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what is resistance
what is current
how to calculate resistance in a parallel circuit
how to calculate current in a series circuit
how to calculate resistance in a series circuit
how to calculate current in parallel circuit
Answer:
Explanation:
What is current?
Current is the flow of electric charge through a conductor or a circuit. It is measured in amperes (A), and it is the rate at which charge flows past a given point in a circuit.
How to calculate resistance in a parallel circuit?
In a parallel circuit, the total resistance (Rtotal) can be calculated using the following formula:
1/Rtotal = 1/R1 + 1/R2 + 1/R3 + ...
Where R1, R2, R3, ... are the resistances of each resistor in the circuit. Once you have calculated the total resistance, you can calculate the current in each branch of the circuit using Ohm's law (I = V/R).
most large storage systems are based on magnetic hard disks, although some systems can use a combination of magnetic and solid-state drives. group of answer choices true false
It is TRUE And Most large storage systems, such as those used in servers, data centers, and enterprise-level storage solutions, are based on magnetic hard disks. These disks use spinning platters coated with a magnetic material to store data. This technology has been around for several decades and has been refined over time to provide high storage capacities, reliable performance, and cost-effectiveness.
With the rise of solid-state drives (SSDs), which use flash memory to store data, some storage systems have started to incorporate a combination of magnetic and solid-state drives. This is because SSDs offer several advantages over traditional hard disks, including faster read and write speeds, lower power consumption, and higher durability.
While most large storage systems are still based on magnetic hard disks, the use of a combination of magnetic and solid-state drives is becoming more common as SSD technology continues to improve.
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Name two types of em waves which are used by police force
There are two types of electromagnetic waves that are commonly used by the police force: radio waves and infrared waves. the police force are radio waves and infrared waves. Radio waves are used for communication, while infrared waves are used for night vision.
The Radio electromagnetic waves are used by police forces for communication purposes. They are a type of EM wave that is used to transmit signals over long distances. Police radios use radio waves to communicate with other officers or with their headquarters. The radio waves are sent out from a transmitter and then picked up by a receiver. The radio waves used by police radios are usually in the frequency range of 150 MHz to 800 MHz's Infrared waves are used by police forces for night vision. Infrared waves are a type of EM wave that is invisible to the human eye but can be detected by special equipment. This technology is particularly useful in search and rescue operations, as well as in surveillance and tactical operations. In conclusion, the two types of EM waves commonly used by the police force are radio waves and infrared waves. Radio waves are used for communication, while infrared waves are used for night vision.
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the real image of an object is located 18.8 cm away from a concave mirror, which has a focal length of 8.20 cm. how far is the object from the mirror?
The object is located 10.4 cm away from the concave mirror.
1/f = 1/v + 1/u
Substituting the given values into the formula, we get:
1/-8.20 = 1/18.8 + 1/u
Multiplying both sides by -8.2018.8u, we get:
u = -8.20*18.8/(-8.20+18.8) = 10.4 cm
A concave mirror, also known as a converging mirror, is a curved mirror with a reflective surface that curves inward like the interior of a sphere. When light rays pass through the concave mirror, they converge and intersect at a point known as the focal point. This point is located on the principal axis, which is an imaginary line that passes through the center of the mirror and the focal point.
Concave mirrors have a variety of applications, including in telescopes, searchlights, and headlights. In a telescope, a concave mirror is used to gather and focus light from distant objects, making them appear closer and clearer. In a searchlight or headlight, a concave mirror is used to reflect light in a specific direction, creating a powerful beam of light.
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A ___ lens is used in a telescope.
Convex
Concave
how much time elapses before the envelope amplitude of the current falls off to 50% of its initial value?
This means that it takes approximately 6.93 seconds for the envelope amplitude of the signal to fall to 50% of its initial value. It's important to note that the actual time it takes for the envelope amplitude to decay will depend on the specific characteristics of the signal and the circuit or system that generates it.
The time it takes for the envelope amplitude to fall to 50% of its initial value is referred to as the half-life of the signal. The half-life can be calculated using the decay constant, which is a measure of how quickly the signal decays. The formula for the half-life of a signal is given by:
T1/2 = ln(2)/λ
The decay rate can be determined by examining the circuit or system that generates the signal.
τ = RC
Where R is the resistance of the circuit and C is the capacitance. The decay constant can then be calculated as:
λ = 1/τ
Once we know the decay constant, we can use the formula for the half-life to calculate how much time elapses before the envelope amplitude falls to 50% of its initial value.
T1/2 = ln(2)/0.1 = 6.93 seconds
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Do people outside hear the same sound volume as the people inside the plane?
The people outside of a plane do not hear the same sound volume as those inside the plane. the nuclear volume of the sound outside the plane is likely to be much lower and may not cause the same level of discomfort or hearing damage.
The sound waves are inside an enclosed space like a plane cabin, they bounce off the walls and ceiling, which can amplify the volume of the sound. On the other hand, when sound waves are outside, they can disperse in all directions, and the distance between the source of the sound and the listener can affect how loud the sound is perceived. Another factor that affects the nuclear volume of sound inside and outside a plane is the type of sound. For example, the sound of the engines is likely to be much louder outside the plane, while other sounds like conversations may be louder inside the cabin. In general, the sound volume inside a plane can be quite high, especially during takeoff and landing, and it is important for passengers to protect their hearing by using earplugs or noise-cancelling headphones. However, the volume of the sound outside the plane is likely to be much lower and may not cause the same level of discomfort or hearing damage.
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if 730- nm and 620- nm light passes through two slits 0.80 mm apart, how far apart are the second-order fringes for these two wavelengths on a screen 1.0 m away?
The second-order fringes for the two wavelengths are 9.1 x 10^-4 m and 7.75 x 10^-4 m apart on the screen, respectively.
To answer this question, we need to use the equation for the distance between fringes on a screen due to light passing through two slits:
y = (λL) / d
where y is the distance between fringes, λ is the wavelength of the light, L is the distance from the slits to the screen, and d is the distance between the slits.
For the first wavelength, λ = 730 nm = 7.3 x 10^-7 m, and for the second wavelength, λ = 620 nm = 6.2 x 10^-7 m.
We also know that d = 0.80 mm = 8 x 10^-4 m and L = 1.0 m.
Using the equation for each wavelength, we get:
For the first wavelength:
y = (7.3 x 10^-7 m)(1.0 m) / (8 x 10^-4 m)
y = 9.1 x 10^-4 m
For the second wavelength:
y = (6.2 x 10^-7 m)(1.0 m) / (8 x 10^-4 m)
y = 7.75 x 10^-4 m
So the second-order fringes for the two wavelengths are 9.1 x 10^-4 m and 7.75 x 10^-4 m apart on the screen, respectively. This is due to the different wavelengths of light, which causes the interference pattern to have different spacing between fringes.
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What must the sum of the Formal Charge of the atoms in a molecule/polyatomic ion equal?
The sum of the formal charges of the atoms in a molecule or polyatomic ion must equal the overall charge of the species. Formal charge is a way of keeping track of the distribution of electrons in a molecule or ion.
It is calculated by subtracting the number of electrons assigned to an atom in a molecule from the number of valence electrons of that atom in the neutral state. For a neutral molecule, the sum of the formal charges of all the atoms should be zero. For a polyatomic ion with a positive or negative charge, the sum of the formal charges of all the atoms should be equal to the overall charge of the ion. This is a useful tool for determining the most likely arrangement of atoms in a molecule or ion, and for predicting the polarity of a molecule.
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8.25/8.27starting from rest and moving in a straight line, a runner achieves a velocity of 7 m/sec in 2 sec. what is the average acceleration of the runner? at the initial instant t0
The average acceleration of the runner at the initial instant t0 (when the runner started from rest) is 3.5 m/sec^2.
To answer your question, we first need to calculate the acceleration of the runner. We can use the formula:
acceleration = (final velocity - initial velocity) / time
In this case, the final velocity is 7 m/sec, the initial velocity is 0 m/sec (since the runner started from rest), and the time is 2 seconds. So we can plug these values into the formula:
acceleration = (7 m/sec - 0 m/sec) / 2 sec
acceleration = 3.5 m/sec^2
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A household outlet of 120 V has a 1000 W hairdryer plugged into it. What is the resistance of the hairdryer?
(A) 12 Ω
(B) 8.3 Ω
(C) 14.5 Ω
(D)120,000 Ω
(E) 1000 Ω
Residence time for water in Lake Tahoe, Nevada/California is 600 years which means thatSelected A. A water molecule entering the lake will remain in the lake for 600 years.
B. The total volume of water in Lake Tahoe remains constant for 600 years.
C. The water in Lake Tahoe will sustain aquatic life for 600 years.
D. Outflow from Lake Tahoe occurs once every 600 years.
The correct answer is A. A water molecule entering the lake will remain in the lake for 600 years.
What is residence time?Residence time refers to the average amount of time that a water molecule spends in a particular body of water, such as a lake. In the case of Lake Tahoe, the residence time is approximately 600 years. This means that, on average, a water molecule that enters the lake will remain in the lake for 600 years before leaving through the outlet.
Option B is incorrect because the total volume of water in Lake Tahoe can vary due to precipitation, evaporation, and other factors.
Option C is also incorrect because the residence time of water in Lake Tahoe does not necessarily relate to the ability of the lake to sustain aquatic life.
Option D is incorrect because outflow from Lake Tahoe occurs regularly and is not limited to once every 600 years.
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a certain tuning fork vibrates at a frequency of 222 hz while each tip of its two prongs has an amplitude of 0.894 mm. (a) what is the period of this motion?
The period of a motion refers to the time it takes for one complete cycle of the vibration or oscillation. The frequency, on the other hand, is the number of cycles per second. Therefore, the period of the tuning fork's vibration is 0.0045 seconds. This means that it takes 0.0045 seconds for the tuning fork to complete one cycle of its vibration.
In this case, we are given that a tuning fork vibrates at a frequency of 222 Hz and has an amplitude of 0.894 mm at each tip of its two prongs. To find the period of this motion, we can use the formula:
Period = 1 / Frequency
Plugging in the given frequency of 222 Hz, we get:
Period = 1 / 222
Simplifying this expression, we get:
Period = 0.0045 seconds
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When swimming, you push the water backward-call this action. What is the reaction force?
When you swim, you create a forward motion by pushing the water backwards. This action is known as propulsion or thrust. The reaction force is the force exerted by the water back onto the swimmer.
This force is equal in magnitude and opposite in direction to the force that the swimmer applies to the water. It allows the swimmer to move forward through the water.
The reaction force also creates a wake behind the swimmer, which is why you can feel the water moving around you when you swim.
The size of the reaction force depends on the speed and power of the swimmer's stroke, as well as the density and viscosity of the water.
Understanding the principles of propulsion and reaction is important for mastering the technique of swimming and improving your overall performance in the water.
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An all-female guitar septet is getting ready to go on stage. The lead guitarist, Kira, who is always in tune, plucks her low E string and the other six members, sequentially, do the same. Each member records the initial beat frequency between her low E string and Kira's low E string. To tune an instrument using beats, more information than just the beat frequency is needed. In addition to recording the initial beat frequency, each member, except Diane, also records the change in the frequency (increase or decrease) when they increase the tension in their low E string. Rank each member on the basis of the initial frequency of their low E string. Rank from largest to smallest.
Aiko = 3 Hz, f beat increases
Chandra = 1 Hz f beat decreases
Evita = 5 Hz f beat decreases
Freja = 3 Hz f beat decreases
Buffy = 4 Hz f beat increases
The ranking from largest to smallest initial frequency is: Evita, Buffy, Aiko, Freja, Chandra.
To rank each member of the guitar septet based on the initial frequency of their low E string.
We can list the members in descending order
Evita = 5 Hz (highest initial frequency)
Buffy = 4 Hz
Aiko = 3 Hz
Freja = 3 Hz
Chandra = 1 Hz (lowest initial frequency)
Therefore, the ranking from largest to smallest initial frequency is: Evita, Buffy, Aiko, Freja, Chandra.
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a 10.5 kg test rocket is fired vertically from cape canaveral. its fuel gives it a kinetic energy of 1950 j by the time the rocket engine burns all of the fuel. what additional height will the rocket rise? assume that air resistance is negligible.
the rocket will rise an additional height of 18.6 meters before it reaches its maximum height and begins to fall back down to Earth. By using formula of potential energy = mgh. This calculation assumes that air resistance is negligible.
To calculate the additional height the rocket will rise, we need to use the conservation of energy principle. The initial kinetic energy of the rocket, given as 1950 J, will be converted entirely to potential energy as the rocket rises.
We can use the formula for gravitational potential energy:
PE = mgh
where PE is potential energy, m is the mass of the rocket, g is the acceleration due to gravity (approximately 9.81 m/s^2), and h is the height the rocket rises.
Rearranging the formula, we get:
h = PE / (mg)
Substituting the given values, we get:
h = 1950 J / (10.5 kg x 9.81 m/s^2)
h = 18.6 meters
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(a) Is it possible for the temperature of a substance to rise without heat flowing into the substance? Give your reasoning and use the example of an ideal gas. (b) (c) 11. Does the temperature of a substance necessarily have to change because heat flows into or out of it? Give your reasoning and use the example of an ideal gas. m3 The work done by one mole of a monatomic ideal gas ( = 5/3) in expanding adiabatically is 825 J. The initial temperature and volume of the gas 393 K and 0.100 . Obtain the final temperature and volume of the gas.
Answer
yes
Example
The adiabatic compression of an ideal gas.
since the process is an adiabatic process,Q=0.
The work done by the external ageant increases the internal energy of a gas.
what force is necessary to stretch a spring 48 cm, if the spring constant is 270 n/m?
Answer:
F= 129.6 N ≈ 130 N
Explanation:
According to Hook's Law:
F = kx
F = Force necessary to stretch the spring
k = spring constant
x = displacement of the spring (stretch in the spring), in meters
Given x = 48 cm = 0.48 m
k = 270 N/m
F = kx
F = (270 N/m)(0.48 m) = 129.6 N
F = 129.6 N ≈ 130 N
.The star-gas-star cycle will continue forever because stars are continually recycling gas.
A)True
B) False
Answer:
B) False
Explanation:
It is false because stars that form in nebule disrupt the cloud of gas, which prevents further star formation. When that star dies, it releases less matter than the original dust cloud had, eventually resulting in the cloud not having enough matter to make another star after several generations. And even if we were to say that the gas is continually recycled (which it is not), eventually the expansion of space will cause the universe to drift apart, and stars would not be able to form from dust clouds anymore.
what is the resolution (in arcseconds) of a lens of diameter 100 cm?
A lens with a diameter of 100 cm has a theoretical resolution limit of about 0.011 arcseconds for visible light observations.
The resolution of a telescope or lens is determined by its aperture size and the wavelength of the observed light. The theoretical limit of resolution is given by the Rayleigh criterion, which states that the smallest angular separation between two objects that can be resolved is approximately equal to the wavelength of the observed light divided by the aperture diameter.
For a lens of diameter 100 cm, the resolution can be estimated as:
resolution = wavelength / aperture diameter
Assuming a typical visible light arcseconds of 500 nm (5 x 10^-7 m), we can convert this to arcseconds using the formula:
1 radian = 206265 arcseconds
Therefore, the resolution in arcseconds is:
resolution = (wavelength / aperture diameter) * (180 / pi) * 3600 * 206265
resolution = (5 x 10^-7 m / 100 m) * (180 / pi) * 3600 * 206265
resolution ≈ 0.011 arcseconds
So a lens with a diameter of 100 cm has a theoretical resolution limit of about 0.011 arcseconds for visible light observations.
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