The ratio of the y velocity of the string to the slope of the string is given by the expression vy/m = ω/k.
Find the ratio of the y velocity of the string to the slope of the string calculated in the previous part?This ratio is determined by the angular frequency (ω) of the wave, the wave number (k) of the wave, and the phase velocity (vp) of the wave.The angular frequency (ω) is related to the frequency (f) of the wave by the equation ω = 2πf.The wave number (k) is related to the wave length (λ) of the wave by the equation k = 2π/λ.The phase velocity (vp) is related to the wave number (k) and the angular frequency (ω) by the equation vp = ω/k.Therefore, the ratio of the y velocity of the string to the slope of the string is given by the expression vy/m = ω/k = vp.The ratio of the y velocity of the string to the slope of the string is equal to the product of the angular frequency, ω, and the wave velocity, vp. This ratio is expressed as:velocity ratio = ω*vpThe angular frequency is related to the wave number, k, such that:ω = 2πkTherefore, the velocity ratio can be rewritten as:velocity ratio = 2πk*vpThis equation shows that the ratio of the y velocity of the string to the slope of the string is a combination of the angular frequency, wave number, and wave velocity. This ratio is an important factor in understanding the behavior of a wave in a string.To learn more about The ratio of the y velocity of the string refer to:
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A model of a plane in different parts of the atmosphere uses a scale of
1:2,000. If a plane flies at an altitude of 4,000 feet, how high above ground
level is the plane in the model?
A. 8 ft
B. 1/4,000 ft
C. 4ft
0
D. 2 ft
While operating around buildings, the remote pilot in command (PIC) should be aware of the creation of wind gusts that:
Change rapidly in direction and speed, creating turbulence
While operating around buildings, the remote pilot in command (PIC) should be aware of the creation of wind gusts that change rapidly in direction and speed, creating turbulence.
The ATC authorization that is also known as air traffic control authorisation is the mechanism by which an operator is accepted to be able to operate in a controlled airspace. Usually the authorized pilot are aware of the wind gusts that change rapidly in direction and speed, creating turbulence.
Any pilot who is operating within a airspace of high buildings that is a controlled airspace is required to have the ATC authorization weather if the aircraft that he is using is small in size or big.
Usually the air space surface that is present above 10000 feet of the surrounding of the nation is considered to be the class B Airspace where fast wind are are observed.
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A 15.0 kg load of bricks hangs from one end of a rope that passes over a small, frictionles pulley. A 28.0 kg counterweight is suspended from the other end of the rope . the system is released from rest. A0 draw two free-body diagrams, one for the load od bricks and one for the counterweight. B) What is the magnitude of the upward acceleration of the load of bricks
Answer:
A) The free body diagrams for both the load of bricks and the counterweight are attached.
B) a = 2.96 m/s²
Explanation:
A)
The free body diagrams for both the load of bricks and the counterweight are attached.
B)
The acceleration of upward acceleration of the load of bricks is given by the following formula:
a = g(m₁ - m₂)/(m₁ + m₂)
where,
a = upward acceleration of load of bricks = ?
g = 9.8 m/s²
m₁ = heavier mass = mass of counterweight = 28 kg
m₂ = lighter mass = mass of load of bricks = 15 kg
Therefore, using these values in equation, we get:
a = (9.8 m/s²)(28 kg - 15 kg)/(28 kg + 15 kg)
a = 2.96 m/s²
Answer:
2.96 m/s2
Explanation:
Set Up: Apply ∑→ Fy=m → ay to the load of bricks & to the counterweight.
The tension is the same at each end of the rope.
The rope pulls up with the same force T on the bricks & on the counterweight.
The counterweight accelerates downward and the bricks accelerate upward; these accelerations have the same magnitude.
Solve: Apply ∑→ Fy=m → ay to each object. The acceleration magnitude is the same for the two objects.
For the bricks take +y to be upward since vector a (→ a) for the bricks is upward: ∑→ Fy=m → ay
T – m1g = m1a
For the counterweight take +y to be downward since → a is downward: ∑→ Fy=m → ay , m2g – T = m2a
Add the two equations to eliminate T and then solve for a.
m2g ⎯ m1g = m1a + m2a
(m2⎯ m1)g = (m1 + m2)a
a = (m2− m1/ m1 + m2)g
= (28 kg−15 kg/15 kg+28 kg) (9.8 m/s2) = 2.96 m/s2
A marble at the front of a truck bed traveling at 20 m/s relative to the highway rolls toward the back of the truck bed with a speed of 7m/s relative to the truck bed. What is the velocity of the marble relative to the highway?
A driver of a car going 40 m/s (approx. 90 mph) suddenly sees the lights of a barrier 40.0 m ahead. It takes the driver 0.75 s before he applies the brakes (this is known as reaction time). Once he does begin to break the decelerates at a rate of 10.0 m/s^2 (Be careful of signs). Does he hit the barrier?
Answer:
Explanation:
Distance of barrier = 40 m
Distance covered during reaction time = .75 x 40 = 30 m .
distance covered during deceleration can be calculated as follows .
v² = u² - 2 a s
0 = 40² - 2 x 10 x s
s = 80 m
Total distance covered before coming to rest = 30 + 80 = 110 m
Distance of barrier = 40 m , so it will hit the barrier .
A bowling ball hits a single stationary pin at 59.1 m/s. The bowling ball and pin have masses of 41.7kg, and 4.17 kg, respectively. After the collision the bowling ball is moving at 48.35m/s. What is the velocity of the pin after the collision?
Two vehicles get into a head on collision. Consider the collision perfectly inelastic. Vehicle 1 has a mass of 51.3kg and a velocity of 50.1m/s. Vehicle 2 has a mass of 100kg and a velocity of 47.2m/ s. What is the velocity of the cars after they collide?
1) The velocity of the pin after the collision is 107.4 m/s.
2) The velocity of the two cars as the collision is inelastic is 48.2 m/s.
What is the velocity after collision?We know that by the principle of the conservation of linear momentum, the momentum before Collison is equal to the total momentum after collision. Now we have to use this principle in the both questions that we have here.
1) Given that;
Total momentum before collision = Total momentum after collision
(41.7 * 59.1) + (4.17 * 0) = (41.7 * 48.35) + ( 4.17 * v)
We then have;
2464 + 0 = 2016 + 4.17v
2464 - 2016 = 4.17v
v = 2464 - 2016 /4.17
v = 107.4 m/s
2) Given that;
Total momentum before collision = Total momentum after collision
(51.3 * 50.1) + (100 * 47.2) = (100 + 51.3)v
2570 + 4720 = 151.3v
v = 2570 + 4720/151.3
v = 48.2 m/s
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How can a current loop be used to determine the presence of a magnetic field in a given region of space
A train crosses 650m long bridge and 800m long platform in 20sec and 30 sec respectively. what is speed of train?
Answer:
29 m/s
Explanation:
Assuming the bridge and the platform are back to back,
Average speed = Total Distance/ Total Time
Avg S = 1,450m/50s = 29 m/s
The average speed of the train is 29 m/s
The average speed is defined as the ratio of total distance traveled and the total time taken.
Total distance = 650 m + 800 m = 1450 m
Total Time = 20 s + 30 s = 50 s
Average speed = total distance/total time
= 1450 / 50
= 29 m/s is the average speed of the train.
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A piece of wood 350 mm × 350 mm and 15 mm thick conducts heat through its thickness under steady state conditions. The rate of heat flow is measured to be 14.0 watts when the temperature difference is 28 C°. Determine the coefficient of thermal conductivity for this wood
The coefficient of thermal conductivity (k) is related to the rate of heat flow (Q), the cross-sectional area (A), the length (L), the temperature difference (ΔT), and the thermal resistance (Rth) by the following equation:
k = Q / (A * ΔT * L) = Rth * (A * ΔT)
Reorganizing this equation gives:
Rth = k / (A * ΔT)
The given information in the problem is:
Rate of heat flow (Q) = 14.0 watts
Thermal resistance (Rth) = (350 mm × 350 mm × 15 mm) / (14.0 watts) = 31.5 mm⁴/C
Temperature difference (ΔT) = 28°C
Substituting these values into the equation, we have:
k = Q / (A * ΔT) = 14.0 W / (0.35 m² * 28°C) = 1.94 W/mK
So the coefficient of thermal conductivity (k) for this wood is approximately 1.94 W/mK.
Two ice skaters stand together as illustrated in Figure (a) below. They "push off" and travel directly away from each other, the boy with a velocity of v = 0.540 m/s to the left. If the boy weighs 747 N and the girl weighs 497 N, what is the girl's velocity (in m/s) after they push off? (Consider the ice to be frictionless.)
the girl's velocity after they push off is 0.816 m/s.
What is velocity?Velocity is described as the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.
The momentum of the boy after he pushes off is given by m_boy * v_boy = -747 N * 0.540 m/s = -405.08 N * m/s.
The momentum of the girl after she pushes off is denoted as m_girl * v_girl, where m_girl is the mass of the girl and v_girl is her velocity.
The principle of conservation of momentum requires that the total momentum of the two-person system before and after the push off must be the same, hence we have:
m_boy * v_boy + m_girl * v_girl = 0
Substituting in the values for m_boy and v_boy, we find:
-405.08 N * m/s + m_girl * v_girl = 0
Solving for v_girl, we find:
v_girl = 405.08 N * m/s / m_girl = 405.08 N * m/s / 497 N = 0.816 m/s.
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The octopus’s tentacle keeps _ right after it is bitten off ? a. Moving b. Breathing c. Growing
Answer:
The answer is A
Explanation:
The octopus’s tentacle keeps moving right after it is bitten off
Explain how force (F=ma), momentum (p=mv), energy, and gravity play a part in a launching sequence.
If the mass bigger and the acceleration faster, the force is bigger(F = ma). The rate of change of momentum of an object is directly proportional to the resultant force applied and is in the direction of the resultant force(p=mc) The gravity can affect the resultant force as weight when the object launch.
sorry if there's any grammar mistake
5 waves with a length of 4m hit the shore every 2 seconds, what is the frequency?
The frequency of the 5 waves with a length of 4m hit the shore every 2 seconds is 2.5 Hz.
What is frequency?This is the number of cycles completed by a wave in one second. The s.i
unit of frequency is Hert (Hz).
From the question, to calculate the frequency of 5 waves with length of 4 m that hit the shores every 2 seconds, we use the formula below.
Formula:
F = n/t........... Equation 1Where:
n = Number of waveF = Frequencyt = timeFrom the question,
Given:
n = 5 waves t = 2 secondsSubstitute these values into equation 1
F = 5/2F = 2.5 Hz.Hence, The frequency of the wave is 2.5 Hz.
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Two identical billiard balls are rolling toward each other at the same speed. What will be true after they collide head–on?
Answer:
They will be moving away from each other at the same speed.
Explanation:
The final speed may be identical to the initial speed if the collision is perfectly elastic. The final speed will be zero if the collision is perfectly in-elastic.
In all likelihood, the final speed will be slightly slower than the initial speed.
Forces at Time 1
Forces at Time 2
The arrows represent forces. Choose all that are correct when comparing the bicyclist at Time
1 and Time 2.
A. The bicyclist is moving faster at Time 2.
B. The bicyclist is moving faster at Time 1.
C. The bicyclist is applying more force on the pedals at Time 2.
D. The bicyclist is applying more force on the pedals at Time 1.
The bicyclist is applying more force on the pedals at Time 2. Option C
What is the image?If we look at the image that have been shown, we can be able to see that the force that is acting have been shows by the arrows that have been used to label the movement of the cyclist in the image that is shown here.
We can see that the forward arrow at the time 2 is seen to be larger than the forward arrow that is shown for time 1. The implication of this is that the cyclist is cycling harder and applying more force at time 2 than at time 1.
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What does volume measure name two different units that might be used to measure volume
Answer:
Volume measures liquid
Explanation:
Volume can be measured in meters and centimeters
A car which is traveling at a velocity of 15 m/s undergoes an acceleration of 6.5 m/s2 over a distance of 340 m. How fast is it going after that acceleration? (68.15 m/s)
v² - u² = 2 a ∆x
where u = initial velocity, v = final velocity, a = acceleration, and ∆x = distance traveled.
So
v² - (15 m/s)² = 2 (6.5 m/s²) (340 m)
v² = 4645 m²/s²
v ≈ 68.15 m/s
What will happen to this force if the distance between the charges is doubled and the -4μC is cut in half ? Use proportional reasoning to find the answer and then check by changing and moving the charges.
Answer: MIS huevos
Explanation:
my sources
Philosophy Are actions or interventions that restrict free will
Answer:
inventions
Explanation:
some philosophers do not believe that free will is required for moral responsibility. According to John Martin Fischer, human agents do not have free will, but they are still morally responsible for their choices and actions. ... We thus see that free will is central to many philosophical issues.
Define neutralization
Answer:
neutral
Explanation:
ization
Answer:
A neutralization reaction is when an acid and a base react to form water and a salt and involves the combination of H+ ions and OH- ions to generate water. The neutralization of a strong acid and strong base has a pH equal to 7.
Explanation:
Calculate the quantity of heat energy which must be transferred to 2.25 kg of brass to raise its temperature from 20°C to 240°C if the specific heat of brass is 394 J/kgK.
The quantity of heat energy that must be transferred to 2.25 kg of brass to raise its temperature from 20 °C to 240 °C is 195030 J
How do i determine the quantity of heat energy?First, we shall list out the given parameters from the question. This is shown below:
Mass of brass (M) = 2.25 Kg Initial temperature of brass (T₁) = 20 °CFinal temperature of brass (T₂) = 240 °CChange in temperature of brass (ΔT) = 240 - 20 = 220 °CSpecific heat capacity of brass (C) = 394 J/kgKQuantity of heat energy (Q) =?The quantity of heat energy that must be transferred can be obtained as follow:
Q = MCΔT
= 2.25 × 394 × 220
= 195030 J
Thus, we can conclude quantity of heat energy that must be transferred is 195030 J
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The first P-wave of an earthquake travels 5600 kilometers from the epicenter and arrives at a seismic station at 10:05 a.m. At what time did this earthquake occur?
Ahhhhhh I have a Regent's test in 2 hours and I don't know how to solve this type of question! Any help would be appreciated.
Anyone know what the steps to do this are? I dont even need an answer, just how to get to it. Thank you!
The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.
The p-waves travel with a constant velocity of 7 km/s
The time can be calculated by using the formula
t = d / v
where
T1 = 10:05 a.m
d is the distance they take to travel from the epicenter
v is the speed of the p-waves
On average, the speed of p-waves is
v = 7 km/s
d = 5600 km (given)
Substituting the values in the formula;
t = d / v
t = 5600 ÷ 7
t = 800 seconds
Converting into minutes,
t = 800 ÷ 60
t = 13.3
≈ 13 mins
T1 - 13 mins = T2
10:05 - 13 mins = 9.52 am
It means the earthquake occurred prior 13 minutes, that is at 9.52 am.
Therefore, the earthquake occurred at 9.52 am.
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As a galaxy evolves and becomes more massive, what is most likely to happen?
Answer:
Explanation:
The most likely thing that would happen is that the galaxies continue becoming more and more massive, eventually becoming part of a galaxy cluster. These are massive but cluttered parts of the universe that hold many galaxies extremely close to one another. This also leads to galaxies colliding with one another, although when this happens they usually seem to pass right through each other as if they were ghosts. This is simply due to their sheer size and distance between their bodies of mass.
Answer:
It will merge with other galaxies
Explanation:
Pearson Connexus 2023
A circle loop of radius 2 m is positioned in a uniform magnetic field of magnitude 1.5 N/C so that the plane of the loop makes an angle of 65° with the magnetic field. Find the flux passing through the circle loop.
The flux through the circle loop of wire is determined as 7.96 N/C.m².
What is the flux passing through the circle loop?The flux through the circle loop of wire is calculated by applying the following formula.
Ф = EA cosθ
where;
B is the magnitude of the electric fieldA is the area of the circular loopθ is the direction of the loopThe area of the wire is calculated as follows;
A = πr²
A = π (2 m)²
A = 12.57 m²
The flux through the circle loop of wire is calculated as;
Ф = EA cosθ
Ф = 1.5 x 12.57 x cos (65)
Ф = 7.96 N/C.m²
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Sometimes the units for an electric field are written as N/C, while other times the units are written as V/m, using dimensional analysis show that N/C is equal to V/m.
a. True
b. False
Answer:
N/C = V/m.
Explanation:
The SI unit of electric field is N/C. Sometimes the units are written as V/m.
We know that,
1 V = 1 J/C
Using dimensional analysis,
The dimensional formula for Joules is [M¹L² T⁻²].
The dimensional form of coulomb is [M⁰ L⁰ T¹ I¹].
So,
J/C = [M¹L² T⁻³I¹] ...(1)
The dimensional formula of Newton is [M¹ L¹ T⁻²]
The dimensional form of coulomb is [M⁰ L⁰ T¹ I¹].
N/C= [M¹L² T⁻³I¹] ....(2)
From (1) and (2) it is clear that the N/C is equal to V/m.
Two equal and opposite charges are placed 40mm apart,if the force between them is found to be 0.5N Calculate the magnitude of the charge
Question 1 of 10
Which of the following is an example of information that is best shown as a
report?
A college counselor wants to know which universities have the highest acceptance
rate based on admissions data from last year
Human resources wants to tell a business executive how happy their employees
were this month from open-ended survey results
Both A and B
Neither A nor B
Pls
An example of information that is best shown in a report college counselor wants to know which universities have the highest acceptance rate based on admissions' data from last year. Therefore, option A is correct.
What is university ?A university is a center for higher learning and research that confers degrees in a variety of academic fields. In general, universities provide both undergraduate and graduate degrees. The label is only used for colleges with graduate programs in the United States.
A university is a place where people can pursue degrees in education. Additionally, they might pursue master's or doctoral degrees. It is a prestigious institution of higher learning. Universities also conduct academic research.
Universities in India's higher education system are divided into four categories based on how they were founded. The universities in question are public, private, deemed, and central universities.
Thus, option A is correct.
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The Achilles tendon is a fibrous tissue that connects your soleus to your calcaneus and can withstand 145 MPa of tensile stress. Assume the Achilles tendon can be modeled as a cylinder with a diameter with a diameter of 3.25 cm. How much normal tensile force (in Newtons) would the soleus need to generate to tear the Achilles tendon
Answer:
F = 1.2 10⁵ N
Explanation:
Force is defined by
P = F / A
F = P A
The area is
A = π r²
the radius is half the diameter
r = d / 2
A = π d²/4
we substitute
F = P π d²/4
let's calculate
F = 145 10⁶ π (3.25 10⁻²)²/4
F = 1.2 10⁵ N
Write the differences between rest and motion
Answer:
Depends on position
Explanation:
Rest:
A body is said to be at rest, if it does not change its position with respect to its surroundings.
Motion:
A body is said to be in motion, if it changes its position with respect to its surroundings.
The state of rest and motion is relative
how much metal is needed to cast a cubical metal box
If metal is required to cast the cubical metal box, it would require 784cm3 of solid static electricity iron.
What exactly is static electricity?Unbalanced electric charge on such a material's surface is known as static electricity. In contrast for dynamic (moving) electricity, which takes the shape of electric currents, static electricity is defined as being fixed or immovable. A typical atom is neutral, meaning it has an equal number of protons and electrons.
What effects does static electricity have on the body?Although static electricity does not directly endanger human life, it can nonetheless shock us and, if we were on an elevated surface, might inflict serious injuries.
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