Transverse waves are waves that move the medium at right angles to the direction in which the waves travel.
Types of Waves in PhysicsWaves are defined to be oscillations or vibrations about a fixed point, accompanied by the transfer of energy travelling from one medium to another. There are mainly two types of mechanical waves, namely longitudinal waves and transverse waves.
Longitudinal waves are waves in which the movement of the particles in the medium is in the same dimension as the wave’s movement direction. Examples of longitudinal waves include compression wave and sound waves. Transverse waves are waves in which the medium moves at an angle to the wave’s direction. Examples include stringed instruments and light waves.
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What do you think happens to a sound wave when the volume of sound increase
Answer:
sound wave's amplitude relates to the change in pressure caused by the wave measured at a specific location. The sound is perceived as louder if the amplitude increases, and softer if the amplitude decreases.
which one of the following statements is true concerning a magnifying glass? group of answer choices the object must be placed outside the focal point of the lens. it produces an inverted image. it produces a virtual image. the image distance will be less than the object distance. it can be made from a diverging lens.
The statements is true concerning a magnifying glass is it produces a virtual image.
A virtual image is what exactly?A divergent lens or a convex mirror are used to create a virtual image. Finding a virtual image involves tracking actual rays that leave an optical tool back to their observed or apparent sources. A virtual image cannot be projected onto a screen because the rays never truly converge.
The mirror reflection is the best illustration of a virtual image. Real images are made when rays connect, but virtual images are made when rays diverge. On a screen, real images can be projected but virtual ones cannot. Two opposing lenses, concave and convex, are used to create real images.
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1.8-kg copper block is given an initial speed of 3.1 m/s on a rough horizontal surface. because of friction, the block finally comes to rest. (a) if the block absorbs 85% of its initial kinetic energy as internal energy, calculate its increase in temperature.
Therefore, U equal to cV T represents the change in internal energy for an ideal gas, where cV stands for specific heat (at constant volume) and T for change in temperature.
Calculate its increase in temperature ?Increase in temperature is 0.0176 degree Celsius. b. the remaining energy will be lost.
The mass of copper block = 1.8kg
Initial speed = 3.1 m/s
Specific heat of copper = 0.385 j/g degree Celcius.
a. The increase in temperature is calculated below:
Change i kenetic energy = 1/2mv²
= 1/2 *1.8*4²= 14.4J
85% of energy is converted into internal energy.
mc =14.4*0.85
1.8*385 = 14.4*0.85
12.24/693
=0.0176
The remaining 15 per cent of kinetic energy will be lost and it will be changed into other forms.
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what sound characteristics can be compared between the two ears to locate the source of a sound? group of answer choices sound shadows and pitch loudness and phase frequency and loudness we cannot localize sounds well
Intensity and time interval of a sound can be compared between the two ears to locate the source of a sound.
Intensity of the sound is defined as the proportion of energy that flows per unit time through a unit area perpendicular to the direction of motion of such sound waves.
The time it takes for a sound wave to complete one cycle is called its time interval or the time period.
The time period is inversely proportional to the frequency and is given by: Time period = 1/FrequencyA person's loudness perception is affected by the amount of sound they hear.
The volume or loudness of a sound is determined by its intensity, which itself is governed by its frequency. Sounds are measured by their intensity or the energy they have in them. Intensity is measured in decibels (dB) and the volume of sounds is determined by their intensity. The intensity of sound is determined by two factors: the size of the sound waves and the distance from their source.and the time taken by the sound wave to reach the ear is dependent on the distance between the source and the ear.Therefore intensity and time interval can be considered as the sound characteristics to compare between the two ears to locate the source of a sound.
The question is incomplete, the complete question is:
'What sound characteristics can be compared between the two ears to locate the source of the sound?
a. sound shadows and frequency
b. frequency and amplitude
c. intensity and time of arrival
d. timbre and rhythm'
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a figure skater rotating on one spot with both arms and one leg extended has moment of inertia ii . she then pulls in her arms and the extended leg, reducing her moment of inertia to 0.75 ii . what is the ratio of her final to initial kinetic energy?
The ratio of her final to initial kinetic energy is 1.33
What is conservation of angular momentum?
Conservation of angular momentum is a principle in physics according to which the total angular momentum of a system remains constant as it is free from external torque irrespective of all the various types of interaction and transformation taking place within the system. It is a physical property of spinning system. The easiest example of conservation of angular momentum is Earth spinning around at the same rate from last billions of years.
Iiwi = Ifwf
Where Ii = Initial Angular momentum
If = Final Angular momentum
wi= initial angular velocity
wf = final angular velocity
wf= Iiwi / If
= Iiwi/ 0.75 Ii
= 1.33 wi
Ki= ½ = Iiwi2
Kf= ½ (0.75) Ii (1.33 wi)2
= 1.33 Ki
Kf/ Ki = 1.33 Ki/ Ki
= 1.33
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what is a strength of a magnetic field for a current loop with 5 a current and diameter of 1.0 m from an electric wire?
0.80tesla is a strength of a magnetic field.
how strong is the magnetic field, exactly?At a distance r from the wire, a current I flowing through a long, straight wire generates a magnetic field with intensity H=I/2r. In other words, the field's strength is inversely proportional to the distance from the wire.
How is field strength determined?Newtons per coulomb (N/C) or volts per meter (V/m) are the SI units for measuring electric field strength. E = F/q, where F is the force felt by a very small test charge q placed in a field E in a vacuum, gives the force felt by the charge.
given,
I = 5A , r = 1.0m
H=I/2πr
H = 5 / 2*3.14*1.0
H = 0.80tesla
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A hospital engineer finds an unidentified radioactive source using his Geiger counter in the nuclear medicine department. explain how the engineer could identify what type of radiation is being emitted from the source.
.
Any Idias?
Ionising radiation such as alpha and beta particles or gamma rays are detected using the Geiger-Müller (GM) tube. The radiation enters the tube through a very thin window at one end.
A radioisotope used for diagnostics must generate enough gamma rays to escape from the body and have a short enough half-life to decay away shortly after imaging is concluded. Tc-99 is the most often used radioisotope in medicine, accounting for approximately 80% of all nuclear medicine treatments.
Nuclear imaging is used to study the function of organs and tissues. During the operation, a trace amount of a radioactive chemical is used to aid in the examination. Body tissue absorbs the radioactive substance, known as a radionuclide (radiopharmaceutical or radioactive tracer).
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a space vehicle is traveling at 5800 km/h relative to the earth when the exhausted rocket motor (mass 4m) is disengaged and sent backward with a speed of 74 km/h relative to the command module (mass m). what is the speed of the command module relative to earth just after the separation?
Speed of the command module relative to earth just after the separation is 5785.2Km/h
Velocity of speed of Vehicle = 5800km/h
mass = 4m + m = 5m
relative velocity = v2 - v1 = 74 km/h
v2 = 74 + v1
using conservation of momentum,
(5800)(5m) = 4m(v1) + m(v2)
V1 = 5785.2km/h
Momentum in Newtonian physics is defined as the sum of an object's mass and velocity, or more specifically, as its linear momentum or translational momentum. As a vector quantity with both a magnitude and a direction, it has both. The momentum of an item is expressed as follows: if an object has mass (m) and velocity (v), both of which are vector quantities.
The newton-second is a unit of measurement for momentum in the International System of Units (SI), and the kilograms metre per second (kg m/s) is its SI counterpart.
A body's momentum changes at a rate equal to the net force exerted on it, according to Newton's second law of motion. However, in any inertial frame, momentum is independent of the frame of reference.
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A caterpillar tries to climb straight up a wall two meters high, but for every 2 cm up it climbs, it slides down 1 cm. Eventually, it reaches the top. When it reaches the top, it does not pull itself over so it will slide down 1 cm. At this point, the caterpillar was exhausted and fell to the ground. What is the total displacement?
In the first box, select the total displacement. In the second box, indicate the direction whether up, down or n/a.
It is to be noted that the total displacement is 0cm. Note that displacement is different from distance traveled.
What is displacement in Physics?Displacement is described as the total change in an object's location as well as the direction of motion.
The formula is given as:
Displacement = Final position – initial position = change in position.
Given that the caterpillar falls back to the ground, it means that the total displacement is zero.
Final Position = 0
Initial position = 0
Displacement, thus = 0-0 =0
When distinguishing between displacement and distance, we know that distance is the total length of the path between any two places.
Displacement is defined as the direct length between any two places measured via the shortest path between them.
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Two asteroids each have mass of 1.41 x 1014 kg. The strength of the gravitation force between them is 1,030 N.
Calculate the distance between the asteroids.
The distance between the two asteroids, given that the gravitation force between them is 1030 N, is 3.59×10⁷ m
How do I determine the distance?From Newton's law of universal gravity, we understood that the force of attraction / repulsion between two objects is given as:
F = GM₁M₂ / r²
Where
F is the force of attraction / repulsionG is the gravitational constant M₁ and M₂ are the masses of the objects r is the distance apartWith the above formula, we can determine the distance between the two asteroids. This is illustrated below:
Mass of 1st asteroid (M₁) = 1.41×10¹⁴ KgMass of 2nd asteroid (M₂) = 1.41×10¹⁴ KgGravitational force (F) = 1030 NGravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²Distance between the asteroids (r) = ?F = GM₁M₂ / r²
1030 = (6.67×10¯¹¹ × 1.41×10¹⁴ × 1.41×10¹⁴) / r²
Cross multiply
1030 × r² = 6.67×10¯¹¹ × 1.41×10¹⁴ × 1.41×10¹⁴
Divide both sides by 1030
r² = (6.67×10¯¹¹ × 1.41×10¹⁴ × 1.41×10¹⁴) / 1030
Take the square root of both sides
r = √[(6.67×10¯¹¹ × 1.41×10¹⁴ × 1.41×10¹⁴) / 1030]
r = 3.59×10⁷ m
Thus, the distance between them is 3.59×10⁷ m
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Deuterium is more abundant on venus than elsewhere in the solar system. What do we think this fact tells us about venus?.
We think that it once had huge amounts of water content in its atmosphere.
What is meant by solar system?The Solar System is the gravitationally bound system that includes the Sun and the objects that orbit it. It was formed by the gravitational collapse of a massive interstellar molecular cloud 4.6 billion years ago. The Sun contains the vast majority (99.86%) of the system's mass, with Jupiter holding the majority of the remaining mass. Mercury, Venus, Earth, and Mars are all terrestrial planets made mostly of rock and metal. The four outer system giant planets are significantly larger and more massive than the terrestrials. Jupiter and Saturn are gas giants, composed primarily of hydrogen and helium; Uranus and Neptune are ice giants, composed primarily of volatile substances with relatively high temperatures.
Hence, If Deuterium is more abundant on Venus than elsewhere in the solar system, I think that it once had huge amounts of water content in its atmosphere.
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you are in a rocket ship in deep space, far away from any gravity. you decide to do an experiment to determine the mass of your rocket ship. initially your ship is traveling to the right at 800 m/s, then the engines begin to exert 300,000 n of constant force to the left and do so for 40 seconds. afterward, your rocket ship is traveling to the left at 200 m/s. what is the mass of your rocket ship?
The mass of the rocket travelling in the space is 20000 kg.
The initial velocity of the rocket is 800m/s.
The final velocity of the rocket is 200m/s.
The time for which the constant force of 300000 Newton is applied is 40 second.
We know that if the force is constant than the acceleration must be constant and for the constant acceleration we can use the equation of motion,
V = U + at
Where,
V is the final velocity,
Uis the initial velocity,
a is the acceleration,
t is the time period.
Putting values,
800 = 200 + a40
600 = 40a
a = 15m/s².
The acceleration of the rocket is 15m/s².
The force on an accelerated bodies given by,
F = Ma
M is the mass of the rocket,
Putting values,
300000 = M(15)
M = 20000 Kg.
So, the mass of the rocket is 20000 kg.
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an ultrashort pulse has a duration of 7.20 fs and produces light at a wavelength of 556 nm. what is the momentum of a single photon in the pulse?
The momentum of a single photon in the pulse is 1.19 * 10^-27 kg m/s.
It is the quantity of motion of a moving body, measured as a product of its mass and velocity.
How to calculate the momentum of a single photon in the pulse?
Wavelength of light is given,
λ = 556nm = 556 * 10^-9m
Wavelength and momentum (p) are related by
λ = h/p
Where h is the planck constant = 6.63 * 10^-34 m^2 kg/s
So, the momentum is
p = h/λ
[tex]\frac{6.63*10^{-34} }{ 556*10^{-9}}[/tex]
p = 1.19 * 10^-27 kg m/s
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What kind of electronic transitions are responsible for colored light being given off?.
The kind of electronic transitions that is responsible for colored light being given off is called emission.
Emission is the discharge of something, particularly radiation or gas. Emission spectrum or line spectrum is the given off of electromagnetic radiation when an electron transits from a higher energy level to a lower energy level. During the course of transition from one level to another, energy generated are emitted in the form of white light by the atoms and molecules. When electrons in the ground state of an energy level is heated, it rises to a higher energy level. It thus releases energy quickly to maintain a balanced state or go back to the ground state. If the energy released is equal to the energy that produces white light, it will form colored light.
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The driver of a car going 90.0 km/h suddenly sees the lights of a barrier 35.0 m ahead. it takes the driver 0.75 s to apply the brakes, and the average acceleration during braking is -10.0 m/s2. what is the maximum speed at which the car could be moving and not hit the barrier 35.0 m ahead? assume that the acceleration doesn't change.
The maximum speed at which the car could be moving will be 20 m/s.
Speed is the ration of total distance travelled by an object to the total time taken by the object to cover that particular distance.
Mathematically, Speed (v) = [tex]\frac{Distance (d)}{Time (t)}[/tex]
d = v*t
d = distance traveled
v = initial speed
t = time = 0.75v
d1 = 0.75(t)
Total distance = d1 + d2 = 35m
35 = 0.75v + d2
d1=35-0.75v
According to the Equations of motion.
[tex]v^{2} = s^{2} - 2sd1[/tex]
[tex]v = \sqrt{s^{2} - 2ad1 }[/tex]
where
s = final speed = 0m/s
v = Initial speed
a = acceleration = -10m/s2
d1 = displacement
[tex]v = \sqrt{0 - 2(-10)(35-0.75v) }[/tex]
[tex]v^{2} = 700 - 15v[/tex]
[tex]v^{2} + 15v -700 = 0[/tex]
On solving the above quadratic equation we get two values of v as:
v1 = 20 m/s
v2 = -35m/s
Since the velocity of the car has to be taken and also the car is moving in the forward direction, therefore v1 will be considered as the final velocity of the car, i.e. the maximum speed at which the car could be moving and not hit the barrier 35.0 m ahead will be 20 m/s.
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A soccer ball rests on the ground in a stationary position. Which of the following best describes the forces acting on the ball? (1 point)
Responses
unequal forces
unbalanced forces
accelerating forces
balanced forces
a tree house is 8 m above the ground. if tarzan does 360 j of work while pulling the box at constant speed from the ground up to his tree house with a rope, what is the mass of the box?
Mass refers to a body of matter's resistance to changing its speed or location in response to the application of a force.
What is the mass of the box?In physics, mass is a quantitative measurement of inertia, a basic characteristic of all matter.It essentially refers to a body of matter's resistance to changing its speed or location in response to the application of a force.The change caused by an applied force is smaller the more mass a body has.
The work done to place the box at tree house=350 J.
The distance from ground to tree house =4.0 m and g = 9.8/8²
E =mgh
m = 350 J / (9.8/8²* 4.0m)
m=8.929kg
Hence the mass of the box is 8.929kg
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What the relationship between frequency and wavelength of electromagnetic radiation? choose. If you double the wavelength of light, what happens to the energy of the photons? choose. Which has a greater energy, long wavelength red light or short wavelength uv light? choose.
Frequency is inversely proportional to the wavelength of electromagnetic radiation.
When the wavelength of light is doubled, the frequency is reduced to its original value.
Short wavelength UV (ultraviolet) light will have more energy.
What is meant by wavelength?The distance between identical points (adjacent crests) in adjacent cycles of a waveform signal propagated in space or along a wire is defined as the wavelength.
The relationship between frequency of electromagnetic radiation and wavelength of radiation is:
ν==1/λ
Where,
ν= frequency
As a result, the frequency of electromagnetic radiation is inversely proportional to its wavelength.
The frequency is reduced to its original value when the wavelength of light is doubled.
The energy of a photon is proportional to the frequency of light.
Using Relationship,
E=hν=h c/λ
h = Planck's constant
c = speed of light
Both h and c are constants
As a result, energy will be reduced to its initial value.
The light with the shortest wavelength will have the greatest energy.
UV (ultraviolet) light with a shorter wavelength has more energy.
It is because of the previously stated relationship..
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An 800-kg car traveling in a straight line at a speed of 30 m/s applies its brakes. During braking, there is a net force of 2000 N in the horizontal direction on the car. What distance will the car move from the time it applies its brakes until it has stopped?
a.12
b.75
c.180
d.300
e.60000
Answer:
Explanation:
c = 180
i have same problem and it work
what is the purpose of the frets on a guitar. in terms of the frequency of the vibration of the strings
To learn frequency to known frequency and frets of guitar.
What is frequency?
The number of waves that pass a fixed point in a unit of time is referred to as frequency in physics. It also describes how many vibrations or cycles a body in periodic motion makes in a given amount of time.
What is the purpose of frets?
Frets, which determine the positions for the proper notes, make it much simpler for a player to achieve an acceptable standard of intonation. Furthermore, playing chords accurately is made simpler by a fretted fingerboard.
Frequency of the vibrations of the strings.
f=2LnmT, where T is the tension in the string, L is the length, and n is the number of harmonics, gives the frequency of vibration of a string.
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for a charged particle, a constant magnetic field can be used to change for a charged particle, a constant magnetic field can be used to change only the direction of the particle's velocity. only the magnitude of the particle's velocity. both the magnitude and direction of the particle's velocity. none of the above.
For a charged particle, a constant magnetic field can be used to change for a charged particle, only the direction of the particle's velocity .
magnetic force = q(VxB)
which is perpendicular to V and B
so it can't change magnitude only can change direction.
What is magnetic field?A magnetic field is a vector field near a magnet, an electric current, or an alternating electric field where the observed magnetic forces exist. A magnetic field consists of moving electric charges and the internal magnetic moments of elementary particles associated with a fundamental quantum property called spin. The magnetic field and the electric field are both related and are components of the electromagnetic force, which is one of the four forces of nature.
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a model airplane with mass 0.750 kg is tethered to the ground by a wire so that it flies in a horizontal circle 30.0 m in radius. the airplane engine provides a net thrust of 0.800 n perpendicular to the tethering wire. (a) find the torque the net thrust produces about the center of the circle. (b) find the angular acceleration of the airplane. (c) find the translational acceleration of the airplane tangent to its flight path.
The force on the section of the wall of the airplane is 3N.
The pressure outside the cabin of the commercial airplane is 0.150 atm and the pressure inside the airplane cabin is 0.900 atm.
The dimensions of the section of wall of the airplane are 2.00 m × 2.00m.
The area of the section = 4.00 m².
We know,
Force applied on the portion = pressure applied on that area × area
So, the force on the section of the wall of airplane will be,
Force = (0.900-0.150)×4
Force = 3N.
So, the force on the airplane is 3 Newtons.
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To measure one wavelength, you would measure the distance between
C and A
C and F
D and B
A and B
To measure one wavelength, you would measure the distance between A and B.
option D is the correct answer.
What is one wavelength?
The wavelength of a wave is the distance travelled by a given a wave.
The wavelength of a wave is measured in meters and it depends on the frequency and speed of the wave.
One wavelength is distance measured from the trough to another trough of the wave form or the distance measured from crest to another crest of the wave form.
In the given image, the following are one wavelength;
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A 3000 W oven is cooking your Sunday roast for 1 hour and
35 minutes. How much did it cost to cook it?
Cost estimated is ₹[19/4]y/-.
Given :- Power=3kW , Time=1hr 35min
Now to convert this time completely into hours following steps can be adopted:- 1 min =1/60 hour, so 35min =35/60 hour
35min= 35/60 =7/12 hour
So total computed time = 1hr + [7/12]hr
computed time =19/12hr
Now since in the question there is no mention about cost , so let the cost be ₹y/unit.
Mathematically , Energy is the product of power and time , i.e.
E= Power x Computed time = 3 x 19/12 = 19/4 units.
Now the energy estimated is 19/4 units whose cost equivalent will be ₹[19/4]y/- , as cost of one unit energy is ₹y/- so cost of 19/4 energy units will be ₹[19/4]y/-.
Once the cost of one unit energy is known to us then just its value in the place of y and we will get the exact amount expended on the total energy consumption.
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suppose you have a planet with the same average density as the earth, but half the radius. how would the acceleration due to gravity on an object near the surface of that planet compare to our g (the acceleration due to gravity on an object near the surface of the earth)?
It would be half of (1/2) acceleration due to gravity on an object near the surface of that planet compare to our g.
Gravity on the planet (g') = [tex]\frac{GM}{R'^{2} }[/tex] = G(ρx [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]R^{3}[/tex])/[tex]R'^{2}[/tex]
Where R' is the radius of the planet.
g' = [tex]\frac{4}{3}[/tex][tex]\frac{\pi GPR'}{1}[/tex]
gravity on the Earth (g) = G[tex]M_{E}[/tex]/RE
= G([tex]\frac{P 4/3\pi R_{E} ^{3} }{R_{E^{2} } }[/tex])
g = 4/3 [tex]\pi[/tex]GP[tex]R_{E}[/tex]
Now, g'/g = R'/[tex]R_{E}[/tex] = [tex]R_{E} 2[/tex]/[tex]R_{E}[/tex] = 1/2
g' = 1/2
it would be half of g.
What is acceleration?Acceleration is defined as the rate of change of velocity with respect to time. Acceleration is a vector quantity because it has both magnitude and direction. It is also the second derivative of position with respect to time or the first derivative of velocity with respect to time. The SI unit of acceleration is as [tex]m/s^2[/tex].
An object is said to accelerate when its velocity changes. A change in the speed of an object can be an increase or decrease in speed or a change in direction of motion. Some examples of acceleration are a falling apple, the moon orbiting the Earth, or a car stopping at a traffic light.
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Two sound waves produce a beat frequency of 5 hz. If one of the original frequencies is 227 hz, what could be the other frequency?.
The beat frequency is always equal to the difference in frequency between the two notes that interact to create the beats.
How do you find the beat frequency of two sounds?The absolute difference between the two waves can be used to compute it. As a result, here's how to determine the beat frequency of two waves: Take the absolute value by subtracting the first wave's frequency from the second wave's frequency.The total value of the two waves' frequencies' difference is equal to the beat frequency. Beat frequency is the number of beats per second that corresponds to the difference in two waves' frequencies.Beat Frequency Calculation is given:First wave frequency 5Hz
Second wave frequency 227Hz
Beat frequency 〰️222Hz.
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A rocket is burning fuel at the rate of 300g/s and electing all the gas. In one direction of the rate of 500m/s what is maximum weight the rocket burn have if it going to move Vertically upward.
The maximum weight the rocket burn is 15000N or 15kN
Now in the question rocket burns the fuel at the rate 300g/s . we are supposed to deduce the maximum weight the rocket burn have if its going to move vertically upward.
As per Classical Mechanics , overall momentum of the system is conserved biding all conservational laws.
Force= mass x acceleration
F= m dv/dt
F=v dm/dt
v=500m/s
dm/dt=300
F=500 x 300
=15kN
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A golf ball is thrown straight up in the air at a velocity of 8.3 . Determine the maximum height of the golf ball.
(b) How long will it take the ball to reach its maximum height?
(c) How long will it take the ball to fall from its maximum height to the height from which it was initially launched?
a) The maximum height is 3.5 m
b) The time taken to reach this height is 0.85 seconds
c) The time taken to return to the original point is 0.85 seconds.
What is the maximum height?We know that the maximum height can be obtained from the use of the kinematic equations. We know that;
a) v^2 = u^2 - 2gh
v = final velocity
u = initial velocity
g = acceleration due to gravity
h = maximum height attained
v= 0 /ms at the maximum height
u^2 = 2gh
h = u^2/2g
h = (8.3)^2/2 * 9.8
h = 68.89/10.6
h = 3.5 m
b) Time taken to reach the maximum height;
v = u - gt
v= 0 /ms at the maximum height
u = gt
t = u/g
t = 8.3/9.8
t = 0.85 seconds
c) The time taken to return is the same as the time taken to go up which is 0.85 seconds.
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what is the difference of chinese and korean music
The music performed on the Chinese instrument was typically fast-paced, technically impeccable, and pitched high. The Korean instrument, however, is normally performed in a low range and with less emphasis.
What's the name of that instrument from China?Chinese musical instrument known as the pipa has four strings and is classified as a plucked instrument. The instrument, which is sometimes referred to as the "Chinese lute," features a peculiar pear-shaped wooden body and 12 to 26 frets.
What is the most popular instrument in China?According to Shanghai Chinese Orchestra director Luo Xiaoci, the guzheng is now regarded as the most well-liked traditional Chinese musical instrument and is comparable to the piano for Western music. A flexible instrument with a wide variety of tones is the guzheng.
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A driver spotted a police car and he braked from a speed of 100km/h to a speed of 80km/h during a displacement of 88m, at a constant acceleration (a) What is that acceleration. (b) How much time is required for the given decrease in speed
Answer:
a = − 1.579 [tex]\frac{m}{s^{2} }[/tex]
b. t = 3.52s
We have velocity in km/hr and displacement in m. Since we have to make a unit conversion, might as well do it so it will yield the answer in the normal (SI) units for acceleration.
u = 100 x [tex]\frac{5}{18}[/tex] = 27.78 [tex]\frac{m}{s}[/tex]
v = 80 x [tex]\frac{5}{18}[/tex] = 22.22 [tex]\frac{m}{s}[/tex]
Using the formula of motion [tex]v^{2} - u^{2}[/tex] = 2*a*d
[tex](22.22)^{2}[/tex] - [tex](27.78)^{2} \\[/tex] = 2 * a * 88
a = -1.579 [tex]\frac{m}{s^{2} }[/tex] = acceleration
Since the acceleration was constant, we can use the average velocity, and the distance to determine the time.
time = [tex]\frac{displacement}{speed}[/tex]
t = [tex]\frac{88}{speed}[/tex]
speed = [tex]\frac{1}{2}[/tex] * (u+v) = [tex]\frac{1}{2}[/tex] * (22.22 + 27.78) = 25[tex]\frac{m}{s}[/tex]
t = [tex]\frac{88}{25}[/tex] = 3.52 s
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The acceleration of the car is equal to -1.58 m/s. The time required for the given decrease in speed is equal to 3.52 s.
What are equations of motion?The equations of motion can be utilized to describe the relationship between the acceleration, velocity, time, and displacement of a moving object.
The equations of motions can be mathematically expressed as shown below:
[tex]v = u + at\\S= ut +\frac{1}{2}at^2\\ v^2-u^2 = 2aS[/tex]
Given, the initial velocity of the police car, u = 100 Km/h = 27.78 m/s
The final velocity of the car, v = 80 Km/h = 22.22 m/s
The displacement of the car, S = 88m
From the third equation of motion: v²- u² = 2aS
(22.22)² - (27.78)² - = 2 × a × 88
a = - 1.58 m/s²
Calculate the time from the first equation of motion: v = u + at
22.22 = 27.78 + (-1.58) × t
t = 3.52 sec
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