A mass m at the end of a spring of spring constant k is undergoing simple harmonic oscillations with amplitude A.
Part (a) At what positive value of displacement x in terms of A is the potential energy 1/9 of the total mechanical energy?
Part (b) What fraction of the total mechanical energy is kinetic if the displacement is 1/2 the amplitude?
Part (c) By what factor does the maximum kinetic energy change if the amplitude is increased by a factor of 3?
Answers
Answer:
a) The potential energy of the system is 1/9 of the total mechanical energy, when \(x= \frac{1}{3}\cdot A\).
b) The fraction of the total mechanical energy that is kinetic if the displacement is 1/2 the amplitude is 1/2.
c) The maximum kinetic energy is increased by a factor of 9.
Explanation:
a) From Mechanical Physics, we remember that the mechanical energy of mass-spring system (\(E\)), measured in joules, is the sum of the translational kinetic energy (\(K\)), measured in joules, and elastic potential energy (\(U\)), measured in joules. That is:
\(E = K + U\) (1)
By definitions of translational kinetic energy and elastic potential energy, we have the following expressions:
\(K = \frac{1}{2}\cdot m \cdot v^{2}\) (2)
\(U = \frac{1}{2}\cdot k\cdot x^{2}\) (3)
Where:
\(m\) - Mass, measured in kilograms.
\(v\) - Velocity of the mass, measured in meters per second.
\(k\) - Spring constant, measured in newtons per meter.
\(x\) - Elongation of the spring, measured in meters.
If we know that \(U = \frac{1}{9}\cdot E\), \(k = k\) and \(E = \frac{1}{2}\cdot k \cdot A^{2}\), then:
\(\frac{1}{18}\cdot k\cdot A^{2} = \frac{1}{2}\cdot k\cdot x^{2}\)
\(\frac{1}{9}\cdot A^{2} = x^{2}\)
\(x= \frac{1}{3}\cdot A\)
The potential energy of the system is 1/9 of the total mechanical energy, when \(x= \frac{1}{3}\cdot A\).
b) If we know that \(k = k\), \(x = \frac{1}{2}\cdot A\) and \(E = \frac{1}{2}\cdot k \cdot A^{2}\), then the equation of energy conservation associated with the system is:
\(\frac{1}{2}\cdot k\cdot A^{2} = \frac{1}{4}\cdot k\cdot A^{2}+K\)
\(K = \frac{1}{4}\cdot k\cdot A^{2}\)
The fraction of the total mechanical energy that is kinetic if the displacement is 1/2 the amplitude is 1/2.
c) From the Energy Conservation equation associated with the system, we know that increasing the amplitude by a factor of 3 represents an increase in the elastic potential energy by a factor of 9. Then, the maximum kinetic energy is increased by a factor of 9.
Related Questions
Use the simulation to determine the relationship between the distance from the magnet and the strength of the magnetic field at that point. Use a ruler to measure distance on the screen. Use a power fit to determine the B vs. r relationship for each location. To simplify your data collection, chose a data-collection axis where either Bx or By = 0. Measure the distance from the nearest edge of the magnet. You will need to obtain a ruler for collecting data.
Answers
Explanation:
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The graph below shows the motion of a person leaving a theater. Three segments of their journey have been identified as A, B, and C.
What does line segment C represent?
The person is moving away from the theater.
The person is standing still.
The person is moving closer to the theater.
The person is slowing down.
Answers
The graph below shows the motion of a person leaving theater, line segment C represent : The person is moving away from the theater.
What is meant by motion?In physics, motion is a change with time of the position or orientation of a body. Motion along a line or a curve is called as translation whereas motion that changes orientation of a body is called rotation.
Motion is a change in position of an object over the time and is described in terms of displacement, distance, velocity, acceleration, time and speed.
Change in position of a body with time when compared with another body is known as motion.
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which of the following is a lever
Answers
Answer: the last one
Explanation: it pushes the lid off in a upward motion
Answer:
the last one
Explanation:
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Hanna tosses a ball straight up with enough speed to remain in the air for several seconds.
A: What is the velocity of the ball when it reaches its highest point?
B: What is its velocity 1 s before it reaches it’s highest point?
C: What is the change in its velocity during this 1-s interval?
D: What is its velocity 1 s after it reaches its highest point ?
E: What is the change in velocity during this 1 s interval?
F: What is the change in velocity during the two second interval?
G: what is the acceleration of the ball during any of these time intervals and the moment the ball has zero velocity?
Answers
Answer:
In the free fall motion we have that the acceleration is constant and produced by gravity, this acceleration has a magnitude of 32 ft/s2 or 9.8 m/s2 depending on the units you are working with. This means that every second the speed changes a magnitude of 32 ft/2, the velocity will depend of whether the ball is going upward (positive) or downward (negative).
A) At the highest point the ball stops to start the descend, here v=0 ft/s
B) +32 ft/s. The vector is going up, in the next second the velocity is going to be 0 (negative acceleration)
C) V=vf-vo=0-32=-32 ft/s is the constant change in velocity in projectile motion
D) -32 ft/s. The vector is pointing downward
E) V=vf-vo=-32-0=-32 ft/s is the constant change in velocity in projectile motion, 32 ft/s per second
F) Delta V=vf-vo=-32-32=-72 ft/s
g) gravity acceleration is constant 32 ft/s2 (pointing downward vector)
Need help Electric Forces
Answers
The net electric force on charge q2 is 28.7 N.
What is the net electric force on q2?The net electric force on charge q2 is calculated by applying Coulomb's law of electrostatic force.
F(net) = F(12) + F(23)
The force on q2 due to charge 1 is calculated as;
F(12) = -(9 x 10⁹ x 8 x 10⁻⁶ x 3.5 x 10⁻⁶ )/(0.1²)
F(12) = 25.2 N
The force on q2 due to charge 3 is calculated as;
F(23) = (9 x 10⁹ x 2.5 x 10⁻⁶ x 3.5 x 10⁻⁶ )/(0.15²)
F(23) = 3.5 N
The net force on q2 is calculated as;
F(net) = 25.2 N + 3.5 N = 28.7 N
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the radiation that is least damaging to humans is
Answers
The radiation that is least damaging to humans is non-ionizing radiation.
What is non ionizing radiationNon-ionizing radiation refers to the type of radiation that does not have enough energy to remove tightly bound electrons from atoms or molecules, thus not causing significant damage to biological tissues.
Examples of non ionizing radiation include radio waves, microwaves, visible light and low energy ultraviolet (UV) radiation. while excessive exposure to any form of radiation can have adverse effects, non-ionizing radiation is generally considered to be less harmful compared to ionizing radiation, which includes X-rays and gamma rays.
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Recall that the voltages VL(t) and VC(t) across the inductor and capacitor are not in phase with the respective currents IL(t) and IC(t). In particular, which of the following statements is true for a sinusoidal current driver?
VL(t) and VC(t):
a) both lag their respective current
b) both lead their respective currents
c) VL(t) lags IL(t) and VC(t) leads IC(t)
d) VL(t) leads IL(t) and VC(t) lags IC(t)
Answers
Answer:
D) VL(t) leads IL(t) and VC(t) lags IC(t)
Explanation:
This is because The phase angle between voltage and current for inductors and capacitors is 90 degrees, or radians, also, this means that no power is dissipated in either the inductor or the capacitor, since the time average of current times voltage,
( I(t), V(t)), is zero.
Una anciana camina 0.30 km en 10 minutos dando la vuelta un centro comercial calcule su rapidez media 
Answers
The average speed of the elderly woman walking around the shopping center is 1.80 km/h.
To calculate the average speed of the elderly woman, we can use the formula for velocity, which is equal to the distance traveled divided by the time taken. In this case, the distance traveled is 0.30 km and the time taken is 10 minutes. However, average speed is generally expressed in units of distance per unit of time, so we need to convert minutes to hours.
There are 60 minutes in one hour, so 10 minutes is equal to 10/60 = 1/6 hours.
Now we can calculate the average speed by dividing the distance traveled (0.30 km) by the time taken (1/6 hours):
Average speed = 0.30 km / (1/6 h)
= 0.30 km * (6/1 h)
= 1.80 km/h
Therefore, the average speed of the elderly woman walking around the shopping center is 1.80 km/h.
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a 40 g superball strikes a wall with a velocity of 10 m/s that is normal to the wall. it bounces away at a velocity of 7 m/s, still normal to the wall. what is the ball's change in momentum? if the bounce lasted 0.1 s, what is the force between the ball and the wall?
Answers
The momentum of the ball in motion is -0.68 kg m/s, and the force between the ball and the wall is -6.8 N.
What is momentum?The state of motion of an object with a certain mass is termed as momentum. It is the product of the mass and velocity of the moving object and is a vector quantity.
It is expressed as: p = m × v
First, let's calculate the initial momentum of the ball before it strikes the wall:
p₁ = m₁× v₁ = 40 g × 10 m/s = 0.04 kg × 10 m/s = 0.4 kg m/s
Where m₁ is the mass of the ball and v₁ is its initial velocity.
Next, let's calculate the final momentum of the ball after it bounces off the wall:
p₂ = m₁× v₂= 40 g × (-7 m/s) = -0.04 kg × 7 m/s = -0.28 kg m/s
where v₂ is the velocity of the ball after it bounces off the wall.
The change in momentum of the ball is then:
Δp = p₂- p₁ = (-0.28 kg m/s) - (0.4 kg m/s) = -0.68 kg m/s
Note that the change in momentum is negative, indicating that the ball's momentum has decreased in magnitude and changed direction.
To calculate the force between the ball and the wall,
J = Δp
where J is the impulse and Δp is the change in momentum.
The impulse is also equal to the force multiplied by the time during which the force is applied:
J = F × Δt
where F is the force and Δt is the time during which the force is applied.
Setting these two equations equal to each other, we get:
F × Δt = Δp
Solving for the force, we get:
F = Δp / Δt = (-0.68 kg m/s) / (0.1 s) = -6.8 N
The negative sign indicates that the force exerted by the ball on the wall is directed opposite to the direction of the ball's motion, as expected.
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The change in the momentum of the ball will be 0.68kgm/sec. While the force that acts on the body will be 0.68 N.
What is momentum?The measurement of mass in motion is called momentum. Momentum is equal to its mass multiplied by its velocity. Mathematically it is given as;
Momentum = Mass x Velocity
The given data in the problem is
ball mass ( m)= 40 g=0.040 kg
speed of the ball(v) = 10 m/s
rebound speed(V )= -7 m/s
The change in the momentum of the body is given by,
ΔP = mv - mv'
Δp= 0.040 x 10 - 0.057 x (-7)
ΔP = 0.68 kg.m/s
Hence the change in the momentum of the body will be 0.68 kg.m/s.
Impulse is defined as the product of force and time interval of contact.
ΔP = force *time
force = ΔP/time
force = 0.68/1
force = 0.68
Hence the force that acts on the body will be 0.68 N.
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If 1.5 kilograms of water is to be heated from 20.0°C to 75°C to make a cup of
tea, how much heat must be added? The specific heat of water is 4.18 J/kg°C. *
Answers
Answer:
142428.358 J must be added per kg of water.
Explanation:
because the heat of the water is 4.18 J per kg of water then 75 degrees Celcius is 142,432 J then 142432.53750000108 - 4.18 = 142428.358 J for per kg of water.
What is an easy way to encourage students to stay hydrated?
Let them know hydration improves performance.
Encourage them to drink water between each class.
Tell them to drink 8 glasses of water per day.
Have them track their hydration with a "water diary."
Answers
An easy way to encourage students to stay hydrated is to let them know hydration improves performance.
Drinking water is essential for our body system to function well. It helps in the regulation of the body temperature, the prevention of infections, as well as the delivery of nutrients to different parts of the body.
Staying hydrated is also vital in getting enough sleep and keeps the body in shape.
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10. What is GIVEN in the following problem? *
1 point
If Maria was driving her car at 20 km/h, then increased her speed to 35 km/h, what is her change in velocity?
Given
Want
Formula
Work
v1 = 20 km/h, v2 = 35 km/h
Answers
Change in velocity, \(\Delta v\), is the initial velocity subtracted from the final velocity. \(\Delta v = v_{2} - v_{1} = 35 - 20 = 15kmh^{-1}\)
The change in the velocity of Maria's car is equal to 15 Km/h.
What is the velocity?Velocity can be defined as a vector measurement of the rate of motion and direction of an object. The velocity of an object can be defined as the rate of change in the position of the body with respect to time.
Velocity can be defined as a vector parameter as it exhibits both magnitude and direction. A mathematical formula to calculate the velocity of the object can be represented as:
v = d / t
Where v is the velocity of the object, d is the distance, and t is the time taken by the object.
Although the S.I. unit for the measurement of the velocity is m/s and can also expressed in the terms of miles per hour (mph), and kilometers per hour(kph).
Given, the initial velocity of Maria's car, v₁ = 20 m/s
The final velocity of Maria's car, v₂ = 35 m/s
The change in the velocity of Maria's car, Δv = v₂ - v
Δv = = 35 - 20
Δv = 15 km/h
Therefore, the change in velocity is 15 Km/h.
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Which type of psychotherapy would seek to eliminate your fear of spiders by exposing you to pictures of spiders?
Answers
Answer:
cognitive behavioral therapy
Explanation:
you are given a mask with a circular hole that is 4 cm in diameter, a bulb and a screen. you must produce a bright spot on the screen that is 5 times as large as the circular hole in the mask. the distance from the bulb to the mask is 12 cm.a)sketch your set up with similar triangles (sketch proportional!)b)show mathc)label the sketch with numbers and units, include:i) the bright spot on the screenii) the distance from the bulb to the screen
Answers
The proportionality of the corresponding sides
What is the proportional equation?A proportional equation has the formula y = kx. The variables of the equation are represented by the letters y and x. The letter k indicates the proportionality constant, which remains constant.
The dimensions of a composition and the connections between height, breadth, and depth are referred to as proportion. The use of proportion influences how realistic or stylized something seems. Proportion also defines how the sizes of various sections of an artwork or design relate to one another.
Alternatively, the percentage can be expressed with colons as a:
b = c:d. The words that are farthest apart on the exterior are the a and the d. The words on the inside are the means: b and c. According to this principle, the product of the means equals the product of the extremes: ad = bc.
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Answer
Explanation
What would you do if natural calamity or disaster strikes you now ?
Answers
Answer:
How can you help the victims of any natural calamity or disaster?If you have not been ordered to evacuate, stay in a safe area or shelter during a natural disaster. In your home, a safe area may be a ground floor interior room, closet or bathroom. Be sure you have access to your survival kit in case you are in an emergency event that lasts several days.
Explanation:
hope that helps. Make sure to be safe and sheltered
A spring with a spring constant of 300Nm is compressed 0.4m. What is the potential energy stored in the spring?
Group of answer choices
60
120
48
24
Answers
Answer: The answer is 120
Explanation:
Fig.3 shows three 10 g particles that have been glued to a rod of length L = 6 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. a) How much work is required to change the rotational rate from 40 to 60 rad/s?
b) If the outermost particle is removed, by what percentage does the rotational inertia of the assembly around the rotation axis decrease?
Answers
(a) The amount of work required to change the rotational rate is 0.0112 J.
(b) The decrease in the rotational inertia when the outermost particle is removed is 64.29%.
Moment of inertia of the rod
The moment of inertia of the rod from the axis of rotation is calculated as follows;
I = md² + m(2d)² + m(3d)²
where;
m is mass = 10 g = 0.01 kgd = 3 equal division of the lengthd = 6/3 = 2 cm = 0.02 m
I = md²(1 + 2² + 3²)
I = 14md²
I = 14(0.01)(0.02)²
I = 5.6 x 10⁻⁵ kg/m³
Work done to change the rotational rateK.E = ¹/₂Iω²
K.E = ¹/₂(5.6 x 10⁻⁵)(60 - 40)²
K.E = ¹/₂(5.6 x 10⁻⁵)(20)²
K.E = 0.0112 J
Percentage decrease of rotational inertia when the outermost particle is removedI₂ = md² + m(2d)²
I₂ = 5md²
ΔI = 14md² - 5md²
ΔI = 9md²
η = (ΔI/I) x 100%
η = (9md²/14md²) x 100%
η = 64.29 %
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1. Odysseus traveled from Troy to Ithaca. What
was the acceleration of Odysseus' ship if its mass
was 900,000 kg and it moves across the water with
a force of 300,000 N?
Answers
Answer: 0.33 m/s^2
Explanation:
The acceleration of Odysseus' ship as it moves across the water from Troy to Ithaca is 0.33m/s²
Given the data in the question;
Mass of Odysseus' ship; \(m= 900000kg\)Force with which Odysseus' ship moves across the water; \(F = 300000N\)Acceleration; \(a = ?\)To determine the acceleration of the ship, We the equation from Newton's Second Law of Motion:
\(F = m\ *\ a\)
Where F is the force, m is the mass and a is the acceleration
Lets make acceleration ''a'', the subject of the formula
\(a = \frac{F}{m}\)
Now, we substitute our given values into the equation
\(a = \frac{300000N}{900000kg}\)
We know that, A newton is defined as \(1 kg.m/s^2\)
\(a = \frac{300000 kg.m/s^2}{900000kg} \\\\a = 0.33m/s^2\)
Therefore, the acceleration of Odysseus' ship as it moves across the water from Troy to Ithaca is 0.33m/s²
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What is SeaWorld?
What is this
What is that
Answers
SeaWorld is a chain of theme parks and oceanariums that showcase marine life through educational exhibits, live shows, and thrilling rides. While it has faced criticism for its treatment of animals, SeaWorld has made changes to prioritize conservation and phased out its orca breeding program.
SeaWorld is a chain of theme parks and oceanariums that primarily focuses on marine life and entertainment. The company operates various parks across the United States, including SeaWorld parks in Orlando, San Diego, and San Antonio, as well as Busch Gardens parks in Tampa and Williamsburg. SeaWorld offers a combination of educational exhibits, live shows, and thrilling rides, with a special emphasis on marine animals such as dolphins, whales, sea lions, penguins, and sharks.
SeaWorld parks provide visitors with opportunities to observe and interact with marine creatures up close, while also offering educational programs that aim to raise awareness about marine conservation and preservation. The parks feature captivating shows featuring trained animals, where they perform impressive behaviors and stunts, showcasing their intelligence and natural abilities.
Over the years, SeaWorld has faced criticism from animal rights activists and environmentalists, who argue that the captivity and use of marine animals for entertainment purposes is unethical and harmful to the animals' well-being. These concerns have led to significant changes in the company's practices, including the phasing out of its orca breeding program and the introduction of more educational and conservation-focused initiatives.
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the acceleration of a particle is defined by the relation 1 , xa k e where k is a constant. knowing that the velocity of the particle is 9v m/s when 3x m and that the particle comes to rest at the origin, determine (a) the value of k, (b) the velocity of the particle when 2x m.
Answers
Determine (a) the value of k in light of the fact that the particle has a velocity of +9 m/s at x=-3 m and rests at the origin.
How fast are particles moving?The speed of a particle—real or hypothetical—in a medium because it transmits a pulse is known as the particle velocity. The meter per second (m/s) is the metric unit for particle speed. Most of the time, this pressure wave is longitudinal, such as with noise, but it may also be transverse, similar to the vibration of the a tight string.
Why is a particle at rest important?You could understand the phrase "A particle in repose prefers to stay at rest" to mean that what a particle that isn't moving relative to a certain context aware tends to remain stationary relative to those same things.
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SuperPointParticleDog is playing tug of war with two other dogs, Isaac and Newton. Isaac is pulling with a force of 255 N, 13 degrees North of East on one rope attached to a ball. Newton is pulling with a force of 156 N, 34 degrees South of East on another rope attached to the ball. If the ball is moving with constant momentum toward SuperPointParticleDog, what is the East/West component of her force on the ball?
Answers
The East/West component of SuperPointParticleDog's force on the ball is -115.7 N. (Westward).
How to explain tje informationIsaac's force:
Magnitude: 255 N
Angle: 13 degrees North of East
x-component: 255*cos(13) = 245.1 N (Eastward)
y-component: 255*sin(13) = 58.1 N (Northward)
Newton's force:
Magnitude: 156 N
Angle: 34 degrees South of East
x-component: 156*cos(34) = 129.4 N (Westward)
y-component: 156*sin(34) = 86.5 N (Southward)
Now we can add the x- and y-components of the forces to find the net force:
Net force:
x-component: 245.1 N - 129.4 N = 115.7 N (Eastward)
y-component: 58.1 N - 86.5 N = -28.4 N (Southward)
The net force has an Eastward component of 115.7 N. Therefore, the East/West component of SuperPointParticleDog's force on the ball is -115.7 N. (Westward).
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Which measure does not change when a wave moves from one medium to another?
O amplitude
O speed
O wavelength
O frequency
Answers
The correct option O frequency. Waves change in amplitude, wavelength, velocity, and intensity as they go through different media, but not in frequency.
Explain about the frequency of the wave?The waves that must pass through a medium like air or water are referred to as mechanical waves.
Some kinds of waves, like electromagnetic waves, can go through solid objects and a vacuum. Frequency and wavelength are two of the different characteristics of waves that serve to explain their motion and energy.The quantity of waves which pass a spot in a predetermined amount of time is known as a wave's frequency. The quantity of waves which pass through a spot in a second is another way to define frequency. A wave's frequency will be higher for faster-moving waves than for slower-moving waves. By dividing its wave speed (v) even by wavelength (λ), the frequency formula is calculated.Thus, waves change in amplitude, wavelength, velocity, and intensity as they go through different media, but not in frequency.
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Answer:
(Question) Which measure does not change when a wave moves from one medium to another?
(Answer) frequency
(Question) Water waves approaching the shore will slow down. Which statement describes another change that occurs?
(Answer) The wavelength decreases.
(Question) As a wave travels from one medium to another, its wavelength triples. Which statement describes the speed and frequency in the new medium?
(Answer) The speed will triple, and the frequency will stay the same.
(Question) Sonar systems used in water send out sound waves that reflect off the environment and then are detected. As water gets denser, the speed of sound in water increases. What would happen to the wavelength of a sonar wave as it moves into water with a 5% higher speed of sound?
(Answer) The wavelength would increase by 5%.
(Question) An earthquake sends seismic waves outward from the epicenter. The waves travel through different media in different directions. What will be true for all people who feel the earth shaking?
(Answer) The earth will rise and fall with the same frequency.
Explanation:
I just did the quick check
Write any 3 difference between work energy power
Answers
Work is referred to as the displacement of an object when a force (push or pull) is applied to it while energy is referred to as the capacity to do the work. It exists in various forms like potential, kinetic, chemical, thermal, nuclear, electrical energy and so on. Power is the work done per unit of time.
Types of Energy:Mechanical energy.Mechanical wave energy.Chemical energy.Electric energy.Magnetic energy.Radiant energy.Nuclear energy.Ionization energy.power and energy are the same.
Work is usualy doing a task that gets rid of said energy.
What are the two rules that light follows.
Answers
ok so i dont know srry5
Which statements accurately describe mechanical waves? Check all that apply.
Answers
The accurate statements that describe mechanical waves are: Mechanical waves require a medium , Mechanical waves transfer energy, Mechanical waves can be longitudinal or transverse, Mechanical waves can be categorized as compressional or shear waves, Mechanical waves obey the principles of reflection, refraction, and interference, Mechanical waves have measurable properties such as wavelength, frequency, and amplitude.
Mechanical waves are a type of wave that require a medium, such as a solid, liquid, or gas, to propagate. They are characterized by the transfer of energy through the oscillation or vibration of particles in the medium. Here are the accurate statements that describe mechanical waves:
1. Mechanical waves require a medium: This statement is true. Mechanical waves cannot propagate in a vacuum because they rely on the interaction of particles in a medium to transfer energy.
2. Mechanical waves transfer energy: This statement is true. Mechanical waves transport energy from one location to another as the particles of the medium vibrate or oscillate.
3. Mechanical waves can be longitudinal or transverse: This statement is true. Mechanical waves can exhibit different types of motion. In longitudinal waves, the particles of the medium oscillate parallel to the direction of wave propagation. In transverse waves, the particles oscillate perpendicular to the direction of wave propagation.
4. Mechanical waves can be categorized as compressional or shear waves: This statement is true. In a compressional wave, the particles of the medium undergo compression and rarefaction as the wave passes through. In shear waves, the particles move perpendicular to the direction of wave propagation, resulting in a sideways displacement.
5. Mechanical waves obey the principles of reflection, refraction, and interference: This statement is true. Mechanical waves can reflect off surfaces, change direction when passing through different media (refraction), and exhibit interference patterns when two or more waves interact.
6. Mechanical waves have measurable properties such as wavelength, frequency, and amplitude: This statement is true. Mechanical waves can be described by various properties. Wavelength represents the distance between two consecutive points in the wave, frequency is the number of wave cycles per unit of time, and amplitude is the maximum displacement of particles from their equilibrium position.
These statements accurately describe mechanical waves and their properties, highlighting the key characteristics of this type of wave propagation.
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What is the speed of a car that travels 0.200 km in 95 seconds? State your answer in meters per second.
Answers
Answer:
2.10 meters per secondExplanation:
speed (velocity) = distance / time
= 0.2 km (1000 m/km)
95 secs.
= 2.10 meters per second
What is sound waves
Answers
Sound waves are a type of mechanical wave that propagate through a medium, typically air but also other materials such as water or solids.
Characteristics of sound wavesFrequency: the frequency of a sound wave refers to the number of cycles or vibrations it completes per second and is measured in Hertz (Hz).
Amplitude: the amplitude of a sound wave refers to the maximum displacement or intensity of the wave from its equilibrium position. It represents the loudness or volume of the sound, with larger amplitudes corresponding to louder sounds and smaller amplitudes corresponding to softer sounds.
Wavelength: the wavelength of a sound wave is the distance between two consecutive points in the wave that are in phase, such as from one peak to the next or one trough to the next. It is inversely related to the frequency of the wave.
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If two firecrackers produce a sound level of 91 dBdB when fired simultaneously at a certain place, what will be the sound level if only one is exploded
Answers
Answer:83dB
Explanation:
Your car breaks down in the middle of nowhere. A tow truck weighing 4000 lbs. comes along and agrees to tow your car, which weighs 2000 lbs., to the nearest town. The driver of the truck attaches his cable to your car at an angle of 20 degrees to horizontal. He tells you that his cable has a strength of 500 lbs. He plans to take 10 secs to tow your car at a constant acceleration from rest in a straight line along a flat road until he reaches the maximum speed of 45 m.p.h. Can the driver carry out the plan
Answers
Answer:
F = 1010 Lb
the tension on the cable is greater than its resistance, which is why the plan is not viable
Explanation:
For this exercise we can use the kinematic relations to find the acceleration and with Newton's second law find the force to which the cable is subjected.
v = v₀ + a t
how the car comes out of rest v₀ = 0
a = v / t
let's reduce to the english system
v = 45 mph (5280 ft / 1 mile) (1h / 3600) = 66 ft / s
let's calculate
a = 66/10
a = 6.6 ft / s²
now let's write Newton's second law
X axis
Fₓ = ma
with trigonometry
cos 20 = Fₓ / F
Fₓ = F cos 20
we substitute
F cos 20 = m a
F = m a / cos20
W = mg
F = \(\frac{W}{g} \ \frac{a}{cos 20}\)
let's calculate
F = \(\frac{2000}{32} \ \frac{6.6 }{cos20}\)(2000/32) 6.6 / cos 20
F = 1010 Lb
Under these conditions, the tension on the cable is greater than its resistance, which is why the plan is not viable.
A ball is dropped from rest. Its energy is transformed from ________.
Answers
Answer:
gravitational potential energy
When the ball falls, some of its gravitational potential energy is converted to other forms of energy, such as kinetic energy and rotational energy. When it rebounds, these other forms of energy is converted back to gravitational potential energy.
Explanation: