The frequency of the boat at anchor outside a harbor is 0.208 Hz
What do you mean by SHM?
Simple Harmonic Motion or SHM is defined as the particular oscillation along a straight line between the two extreme points of locations (the path of SHM is a constraint).
It is a special kind of oscillatory motionIt occurs when the object goes in a straight line.A restoring force will be applied to the mean position or equilibrium position where mean position is a reliable equilibrium in simple harmonic motion.Time period: The time period is defined as either the shortest amount of time required to complete one oscillation or the shortest amount of time after which the particle continues to repeat its motion.
Time period is given as T = 2π/ωFrequency: The frequency is explained as the number of oscillations happening per second.
Frequency is 1/T and angular frequency equals 2π/TGiven in the question:
T = time period = 4.80 s
A = amplitude = 1.00 m
λ = wavelength = 40.5 m
T = 2π/ω
ω = 2π/T
= 2 x 3.14 / 4.8
= 1.308 rad/sec
ω = 2πf
f = ω/2π
= 1.308/2 x 3.14
= 0.208 Hertz
Hence, the frequency is 0.208 Hz
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The weight of the child causes the spring to compress elastically from a length of 30cm to a new length of 23cm. Write down the equation which links compression, force and spring constant.
Answer:
its just 30/23 or 30 over 23
Explanation:
30
23
a searchlight uses a parabolic mirror to cast a beam of light in parallel rays where the light bulb is located at the focus of the parabola in order to give the best illumination. the mirror is modeled by y2
This can be calculated by using parabolic mirror concept, so the location of the light bulb is (15, 0).
A parabolic mirror is a kind of dish or a mirror that is said to have a reflective surface which is often used to take in or project any kind of energy e.g., light, sound, etc. A parabolic mirror is also known as paraboloid or paraboloidal reflector. This parabolic mirror works on a parabolic equations. which are in the form of
y^2 = 2ax
where focus is (a/2, 0)
Considering the equation for parabolic mirror modelling is
y^2 = 20(x – 10)
lets say, x- 10 = u
so, y^2 = 20u
So, the focus for U = ( 20/4; 0)
The focus for x = ( 5+ 10, 0)
= (15, 0)
Therefore, the bulb should be placed at focus and that is (15, 0)
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a car with a speed of 45 m/s on a flat road coasts up to the top of a 20m high hill. how fast is ti going at the top of the hill
The final speed when the car slides to the top of a 20 m hill is 22.23 m/s.
This question is answered by the law of conservation of mechanical energy, as follows:
Ep₁ + Ek₁ = Ep₂ + Ek₂
mgh₁ + 1/2mv₁² = mgh₂ + 1/2mv₂²
Where:
m is the mass (m)g is the gravity of the earth (10 m/s)h₁ is the initial height (m)h₂ is the final speed (m)v₁ is the initial velocity(m/s)v₂ is the final speed (m/s)In the problem, it is stated that the speed on a flat road is (v₁ = 45 m/s) because it is on a straight road with a height (h₁ = 0). Then the car goes up the hill with the height of the hill (h₂ = 20 m). So what is being asked is the final velocity when the car goes up the hill (v₂ = ?).
mgh₁ + 1/2mv₁² = mgh₂ + 1/2mv₂² (both sides divided by mass)
gh₁ + 1/2v₁² = gh₂ + 1/2v₂²
10*0 + 1/2(45)² = 10*20 + 1/2v₂²
0 + 1012.5 = 20 + 1/2v₂²
1/2v₂² = 1012.5 - 20
1/2v₂² = 992.5
v₂² = 496.25
v₂ = [tex]\sqrt{496.25}[/tex]
v₂ = 22.23 m/s
So, the final velocity when the car goes up the hill is 22.23 m/s.
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A student is the pitcher on a baseball team. They pitch the ball toward home plate. It begins in a straight line and then curves toward the ground. What forces are acting on the ball?
a. inertia and nuclear
b. magnetism and inertia
c. friction and gravity
d. friction and electricity
Answer: The answer is C) Friction and Gravity.
Explanation: Friction acts against an object or slows an object down whereas, gravity pulls an object. In this case, the ball is curving towards the ground because gravity is pulling it and friction is slowing the ball down.
Answer:
C
Explanation:
✓= √219.8113) ✓=5.8 m/s RE=1/6/240)100.07²: / 44,946.75
Suzie Lavtaski (m=56 kg) is skiing at Bluebird Mountain. She is moving at 16 m/s across the crest of a ski hill
located 34 m above ground level at the end of the run.
+719
775
a. Determine Suzie's kinetic energy.
b. Determine Suzie's potential energy relative to the height of the ground at the end of the run.
c. Determine Suzie's total mechanical energy at the crest of the hill.
d. If no energy is lost or gained between the top of the hill and her initial arrival at the end of the run, then
what will be Suzie's total mechanical energy at the end of the run?
e. Determine Suzie's speed as she arrives at the end of the run and prior to braking to a stop.
• Audio Guided Solution
• Show Answer
The final answer is:
(a) Kinetic energy is 7168 J
(b) Potential energy is 18,678.24 J
(c) Total energy = 25,846.24 J
Given,
mass = 56 kg
Speed = 16 m/s
Distance = 34 m above ground level.
Now lets solve with he above value
(a) Kinetic energy = 1/2 × mv^2
=1/2 × 56 × 16^2
=7168 J
(b) Potential energy = m .g. h
=56 ×9.8 ×34
=18,678.24 J
(c) Total energy = kinetic energy + potential energy
=7168+18,678.24
=25,846.24 J
(d) Because no energy is lost or gained between the top of the hill and her initial arrival at the end of the run, then the total mechanical energy at the top of the hill or any place across the crest and the bottom of the crest .
Thus , Total mechanical energy = 25,846.24 J
(e) As we know, total energy = potential energy + kinetic energy
but at the end of the run it's potential energy is zero.
So, Total energy = 1/2 ×m ×v^2
25,846.24= 1/2 ×56 ×v^2
V= 30.38 m/s
Hence, Suzie's speed as she arrives at the end of the run is 30.38 m/s
Therefore, the kinetic energy can be responsible for all other energies as well as the speed of that object.
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how does the big island of hawaii compare to the mount everest of the himalayas in terms of mass (weight)?
Its total height is close to 33,500 feet (10,211 meters), which is significantly higher than Mount Everest, which is 29,029 feet (8,848 meters) above sea level and is the tallest mountain on earth (Chomolungma in Tibetan).
The Mahalangur Himal sub-range of the Himalayas is home to Mount Everest, which is the tallest mountain on Earth above sea level. Crossing its top point is the China-Nepal border. The Chinese and Nepali governments most recently established its elevation in 2020, at 8,848.86 m. A mountain summit in the Himalaya mountain range is Mount Everest. Between Nepal and Tibet, a Chinese autonomous region, it is situated. It is regarded as the highest point on Earth because it is 29,032 feet (8,849 meters) tall. George Everest, a former Surveyor General of India, was honoured with the mountain's naming in the nineteenth century. Mount Everest is thought to be between 50 and 60 million years old, according to National Geographic. Regarding the perception of "Mount Everest" in the public mind.
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If f = 8. 0 n and m = 1. 0 kg, what is the tension in the connecting string? the pulley and all surfaces are frictionless.
Using Newton's second law we can find that the tension in the spring is
3.8 N.
What is tension?
Tension can be defined as a force which acts along the length , a force carried by a flexible medium like rope or cable . It can be defined as an action-reaction pair of forces acting at each end of the said elements.
It can be calculated by the given formula : T = mg + ma. It can be defined as a pulling force as it exerts a certain amount of pressure in the given area. Tension is a force so it is expressed in Newtons (N).
Newton second law and tension are related in the following way
The wire which is under tension is proportional to the force of pulling. The final application of Newton’s law deals with the tension.
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A carbon footprint is a measure of the amount of carbon human activities, like using energy, release into the atmosphere. Which activity would help decrease the greatest carbon-releasing activity in us homes?.
The activity that helps reduce the number one CO₂ emission in US households is wearing layers of clothing.
What is energy consumption?Energy consumption includes direct or indirect consumption of energy.Activities that may help to reduce CO₂ emission, the largest in US households, must eliminate energy use entirely.Of all the options given, the only option that does not involve energy consumption is to wear layers of clothing. Two thin layers are warmer and lighter than one thick layer because the air trapped between them acts as insulation. Layering is especially useful in cold climates where clothing needs to wick moisture, provide warmth, and protect from wind and rain.So the activity that helps reduce the biggest carbon-emitting activity in US households is wearing layers of clothing.
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At constant mass, the __________________ of an object varies (directly, inversely) with the net external force applied. That is to say, that an object’s acceleration increases as the force applied is (decreased, increased), but its acceleration decreases if the force applied is (decreased, increased).
At constant mass, the acceleration of an object varies (directly) with the net external force applied. That is to say, an object’s acceleration increases as the force applied is (increased), but its acceleration decreases if the force applied is (decreased)
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
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Tech a says that one advantage of distributorless ignition systems is no moving parts to maintain. Tech b says that the resistance of the coil primary winding can best be tested with a voltmeter. Who is correct?.
Tech A's point is correct as Tech A says that one advantage of distributor less ignition systems is no moving parts to maintain.
Ignition system have following merits:-
Less voltage loss, from the coil to the plug.
However with fewer connections and the elimination of the distributor rotor to cap air gap.
So, the evolution of ignition systems, has provided a number of merits.
As a result, drivers driving with newer systems enjoy better fuel efficiency; infact more reliable operation with reduced maintenance costs.
The position sensors, are equipped with a magnetic coil, generating a magnetic field. So, when the gap of a triggering wheel, comes in front of the position sensor; a fluctuation in the signal is likely to occur. These signals then stop or start, the flow of current, to the primary winding of the coil cannot be tested with voltage measuring device.
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Answer is 8 however I do not know how to get there
Answer:
C. 10 m·s⁻¹
Explanation:
The velocity is numerically equal to the area of the figure lying under the acceleration graph
V = 2·1.0 + (1.0 + 3.0)·(6 - 2) / 2 = 2.0 + 4.0·4 / 2 = 10 m·s⁻¹
a box of mass is at rest on a rough horizontal surface. the coefficients of static and kinetic friction between the surface and the box are and , respectively. a horizontal force is applied to the box. what is the frictional force acting on the box?
To known the coefficient of friction and static force to solve this question.
What is kinetic friction force?
The term "kinetic friction" describes a force that exists between moving surfaces. A force is felt that is opposing the direction of a moving body on the surface. The amount of force that is applied will depend on the kinetic friction coefficients of the two materials.
What is coefficient of static force?
The highest ratio of applied force to normal force when there is no motion is known as the coefficient of static friction. We are all aware that frictional force opposes motion.
F=t²
fs max = 4/10*10= 4N
Therefore, at t= 2 blocks start moving
(t²-3) =ma
⇒ dv/dt= (t²-3)
⇒ ∫_o^v〖dv=∫_l^3(〗( (t²-3) dt
=v= 1/3 (27-8)-3(1)
=3.33m/s
Therefore, the frictional force acting on the box is 3.33m/s.
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when ultraviolet light with a wavelength of 400 nm falls on a certain metal surface, the maximum kinetic energy of the emitted photoelectrons is measured to be 1.10 ev . what is the maximum kinetic energy of the photoelectrons when light of wavelength 315 nm falls on the same surface?
The maximum kinetic energy of the photoelectrons when light of wavelength 315nm falls on the same surface is 1.937eV.
What is photoelectric effect?
Electrons are released when a material is exposed to electromagnetic radiation, such as light, and this is known as the photoelectric effect. These electrons are referred to as photoelectrons. To derive conclusions regarding the properties of atoms, molecules, and solids, the phenomena is researched in condensed matter physics, solid state chemistry, and quantum chemistry. Electronic devices designed for light sensing and precisely timed electron emission have found usage for the effect.
For solving this question, we will use the formula:
E=Ф+ KE where,
Ф is work function, also written as Wo
hc/λ + KE= Ф
Ф= (6.63×10 -34×3×10 8/ 400×10-9 ) - 1.6×10-9×1.10
⇒3.2095×10-19 J
KE = hc/λ - Ф
⇒(6.63×10 -34×3×10 8/ 315 ×10 -9) - 3.2095×10-19
⇒3.10×10-19 J
KE = 3.10×10-19/ 1.6 ×10-9
KE = 1.937 eV
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Uv rays are a type of ""ionizing radiation"" and are energetic enough to damage biological tissue such that they degrade into ions and electrons. What other forms of electromagnetic radiation do you think could be ionizing?.
Electromagnetic radiation that possesses ionizing properties apart from UV radiation is x- rays and gamma rays.
In comparison to shorter wavelengths, higher frequency waves like X and gamma rays, longer wavelengths, lower frequency waves like heat and radio have less energy.
Electromagnetic (EM) radiation is not always ionizing. Ionization only occurs in the high-frequency region of the electromagnetic spectrum, which includes X and gamma rays.
When we refer to x-rays as "ionizing," we mean that they have the special ability to strip electrons from the atoms and molecules in the material they pass through. Our body's cells' molecules can change due to ionizing activity. That action might ultimately be harmful and can lead to cancer.
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pluto differs significantly from the eight solar system planets in that
Pluto differs significantly from the eight solar system planets in that it has not cleared its orbit.
The solar system is the gravitationally sure system of the solar and the items that orbit it. It is shaped four.6 billion years in the past from the gravitational crumble of a large interstellar molecular cloud. The extensive majority (99.86%) of the gadget's mass is within the solar, with the maximum of the final mass contained inside the planet Jupiter. The four inner machine planets—Mercury, Venus, Earth, and Mars—are terrestrial planets, being composed generally of rock and metal. The four large planets of the outer machine are significantly large and greater big than the terrestrials. the two biggest, Jupiter and Saturn, are gasoline giants, being composed mainly of hydrogen and helium; the next, Uranus and Neptune, are ice giants, being composed mostly of volatile substances with quite excessive melting points in comparison with hydrogen and helium, together with water, ammonia, and methane. All 8 planets have almost circular orbits that lie near the aircraft of Earth's orbit, referred to as the ecliptic.
There are an unknown wide variety of smaller dwarf planets and innumerable small sun system our bodies orbiting the solar. Six of the predominant planets, the six biggest possible dwarf planets, and a few of the smaller bodies are orbited via natural satellites, generally known as "moons" after Earth's Moon. herbal satellites, Jupiter's moon Ganymede and Saturn's moon Titan, are large but no longer more massive than Mercury, the smallest terrestrial planet, and Jupiter's moon Callisto is sort of as massive.
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Two identical conducting spheres are placed with their centers 0.80 m apart. One is given a charge of +6 × 10−9 C, and the other is given
a charge of −11 × 10−9 C.
Find the electric force exerted on one sphere by the other.
Please help asap
The electric force exerted on one sphere by the other is equal to 9.27 × 10⁻⁷ N.
What is coulomb's law?According to Coulomb’s law, the force of attraction between two charged bodies is the product of their charges and is inversely proportional to the square of the distance by which they are separated. This force acts along the line joining the two-point charges.
The magnitude of the electric force is given by:
[tex]F = k\frac{q_1q_2}{r^2}[/tex]
where k is constant proportionality and has a value of 8.99 × 10⁹ N.m²/C².
Given the charge on one sphere, q₁ = + 6 ×10⁻⁹ C
The charge on the other sphere, q₂ = -11 × 10⁻⁹C
The distance between these two charges, r = 0.80 m
The magnitude of electric force between the spheres will be:
[tex]F = 8.99 \times 10 ^9(\frac{6\times 10^{-9}\times 11\times 10^{-9}}{(0.80)^2} )[/tex]
F = 927.09 × 10⁻⁹ N
F = 9.27 × 10⁻⁷ N
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How much voltage is required to run 0.42 A of current through a 15
resistor? Use AV = IR.
A. 6.3 V
B. 36 V
C. 0.028 V
D. 0.16 V
Answer: the answer is A 6.3 V
Explanation:
A large truck of mass 4m is traveling at a speed of v when it collides with a small car of mass m that is at rest. The truck and car stick together after the collision. Question the speed of the center of mass of the truck-car system as the truck and car move off together is.
The speed of the center of mass of the truck-car system as the truck and car move off together is 4/5v.
State the principle of conservation of momentum
An explanation of the law of conservation of momentum is provided below.
For an isolated system, the total momentum of the two objects prior to their collision and their total momentum following it are identical.
The aforementioned statement asserts that a system of objects has a constant or stable total momentum. Momentum conservation refers to this.
The following informations are given in the question,
The mass of the large truck = 4m
The velocity of the large truck = v
The mass of the small car = m
According to the conservation of momentum,
m1vi1 +m2vi2 = m1vf1 + m2vf2
where,
m1 = mass of the truck
m2 = mass of car
vi1 = initial velocity of truck
vf1 = final velocity of truck
vi2 = initial velocity of car
vf2 = final velocity of car
After the collision the car and the truck move together with the same velocity say v.
After the collision the conserving momentum will be:
m1v + m2x0 = (m1 + m2)V
4mv + 0 = 5mV
4mv = 5mV
V = 4/5
As the momentum of the system is conserved as such there is no acceleration and the center of mass of the car-truck system move with the velocity of 4/5v.
Hence, the answer is 4/5v.
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3. (High Elevation Upward)
A baseball player throws a baseball straight upward with a velocity of 12.0 m/s from an initial
height of 2.2 m.
a.) How long does it take for the baseball to hit to the ground?
b.) What is the velocity of the baseball just before it hits the ground?
c.) What is the maximum height attained by the baseball?
Answer:
Below
Explanation:
a) d= 2.2 + 12 t + 1/2 at^2 d= 0 when it hits the ground
a = - 9.81 m/s^2
solve for t = 2.62 s ( Use Quadratic Formula or graphing method)
b) vf = vo + at
= 12 - 9.81 (2.62) = -13.7 m/s ( or 13 m/s DOWNWARD)
c) vf = 0 at max height
0 = vo + at
= 12 - 9.81 t finds t = 1.22 s
the d = 2.2 + 12 (1.22) - 1/2 * 9.81 (1.22^2) = 9.53 m ( if you graphed the equation for part a you can see this value at the peak)
the wheel of a car needs to generate a total kinetic energy of 401.0 n to keep the car moving. if the wheel weighs 6700 g, find the linear velocity with which it must rotate. consider the wheel to be a flat cylinder.
The linear velocity with which the wheel must rotate is 7.48 m/s.
The wheel of a car needs to generate a total kinetic energy of 401.0 n to keep the car moving.
If the wheel weighs 6700 g, find the linear velocity with which it must rotate.
Consider the wheel to be a flat cylinder.
Assuming you want the final answer in terms of velocity, we can use the equation:
KE = 1/2×mv²
where KE is the kinetic energy, m is the mass, and v is the velocity.
We can rearrange this equation to solve for velocity ,
v = sqrt(2×KE/m)
Now we just plug in the known values and solve:
v = sqrt(2×401.0 n/6700 g)
v = 7.48 m/s
Hence , the linear velocity with which the wheel must rotate is 7.48 m/s.
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When a piece of perspex is
rubbed with a dry woollen cloth,
electrons move to the cloth.
Which material becomes:
a) positively charged
b) negatively charged?
a). Since the Perspex cloth loses electrons it gains Positive charge.
b). Since the Electrons are transferred to cloth so it gains negative charge.
Objects are charged when rubbed together, one getting a positive and the other a negative charge. This happens because of friction that occurs between the two bodies.
When you rub these two materials against each other, electrons are stripped and accumulate at both of these materials. However, since polythene rod has larger dielectric constant, it stores more charges, therefore it is always more negatively charged.
Triboelectric effect is also an interpretation to understand this mechanism of electrons.
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Your job is to order and connect lead-acid cells used to supply an uninterruptible power supply (UPS). The battery output voltage must be 126 V and have a current capacity of not less than 250 A-hr. Each cell has a rating of 2 V and 100 A-hr. How many cells must be ordered and how would you connect them?
In order to achieve an output of 126 Volts and a current capacity of at least 250 Ahr, the three sets of 63 lead acid cells that were connected in series should be connected in parallel, which means that a total of 189 solar cells are needed to connect in series and parallel.
What is cell?
An electrical current can be produced by a cell, a unit structure, in addition to a conductor moving through a magnetic field. For instance, a semiconductor junction in a solar cell turns sunlight directly into energy.
As is well known, when cells are connected in series, their voltages are increased while maintaining the same current capacities, and when cells are connected in parallel, their voltages are maintained while increasing the current capacities.
The quantity of lead-acid cells that must be connected in parallel in order to generate 126 Volts is,
126 / 2 = 63
The no of lead acid cells required to connect in parallel to produce 250 Ahrs is,
250 / 100 = 2.5 ≈ 3
Therefore, three sets of 63 lead acid cells that were connected in series should be connected in parallel are required.
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white light spans the wavelength range between about 400 nm and 700 nm. if white light passes through two slits 0.257 mm apart and falls on a screen 3 m from the slits, what is the distance between the first-order violet and the first-order red fringes?
The separation on the screen between the two wavelengths' first-order bright fringes is 0.0031m, or 3.10 mm.
A wavelength in terms of what?mathematical illustration When describing travelling sinusoidal waves mathematically, their velocity (in the x direction), frequency, and wavelength are typically written as follows: where y is the value of the wave at any position x and time t, and A is the wave's amplitude.
y = Fringe distance
d= Distance between slits = 0.257mm
L = Screen distance = 3m
λ = Wavelength
When constructive interference occurs
y/L = mλ/d
In terms of first order wavelength
y₁/4 = 1×400×10⁻⁹/0.257×10⁻³
y₁ = 4 × 1×400×10⁻⁹/0.257×10⁻³
y₁ = 0.0062m
y₂/4 = 1×700×10⁻⁹/0.257×10⁻³
y₂ = 0.0093m
The fringe separation is determined by
y₁ - y₂ = 0.0062 - 0.0093
y₁ - y₂ = 0.0031.
The separation on the screen between the two wavelengths' first-order bright fringes is 0.0031m, or 3.10 mm.
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Your house is 200 m away from school. Today, you decide to go to your friends house first and then to school, travelling 300 m instead. Because you took that detour, it took you 5 minutes to get to school today, what is your average speed? (speed = Distance/time)
besides a sound wave striking a boundary between two tissue interfaces at oblique incidence, which other condition must be present in order for refraction to occur?
A sound wave striking a boundary between two tissue interfaces at oblique incidence, the other condition must be present in order for refraction to occur is that the propagations speeds of the two media must be different from each other acc. to Snell’s law.
What is a refraction?The redirection of a wave as it travels through one medium and into another is called refraction. Changing the medium or the wave's speed can both result in redirection.
Conditions for refraction according to Snell's law are:According to Snell's law, the ratio of the sines of the angle of incidence (display style "theta 1" and "theta 2") and angle of refraction (display style "theta 2") for a given pair of media is equal to the refractive index of the second medium relative to the first (n21), which is equal to the ratio of the refractive indices (n2/n1) of the two media, or alternatively, to the ratio.
Hence, A sound wave striking a boundary between two tissue interfaces at oblique incidence, the other condition must be present in order for refraction to occur is that the propagations speeds of the two media must be different from each other acc. to Snell’s law.
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How would u describe a free-falling object?
Al tomar 5 medidas de masa para monedas de 25 centavos, obtuvimos masas de 12.45 g, 12.32 g, 12.54 g, 12.30 g y 12.50 g. Se te pide ofrecer el error relativo para el valor promedio de las 5 medidas. ¿Cuál es el error relativo si la masa teórica es 12.0 g?
a) 3.2%
b) 5%
c) 2.8%
d) 3.5%
Alguien me podria ayudar con esta pregunta??? :,D
Answer:
Explanation:
∑ m / 5 = (12.45 + 12.32 + 12.54 + 12.30 + 12.50) / 5 = 12.42
Δm = 12.42 - 12.0 = 0.42
ε·100% = Δm·100% / m = 0.42·100% / 12 ≈ 3.5 %
Answer:
d) 3.5%
What conditions can cause hurricanes to change direction?
need now please
According to the research, the correct answer is that higher latitudes are conditions that can cause hurricanes to change direction.
What are hurricanes?It is a meteorological phenomenon that usually originates in the tropical areas of the lower atmosphere, being a wind of extraordinary force that forms a whirlwind.
In this sense, the direction of these winds is influenced by the rotation of the Earth (Coriolis effect) and that as they move a little towards the higher latitudes, the direction winds are reversed and blow from west to east.
Therefore, we can conclude that the condition that affects the direction of hurricanes is when these tropical phenomena reach the highest latitudes.
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n the moon the acceleration due to gravity is 5 ft/sec{}^2. an astronaut jumps into the air with an initial upward velocity of 11 ft/sec. how high does she/he go? feet how long is the astronaut off the ground? sec.
a) The astronaut goes to a maximum height of 5.5 feet.
b) The astronaut is off the ground for about 4.4 seconds
Describe the equations of motions?
In physics, the term "equations of motion" designates a set of equations that can be used to explain how a physical system acts with respect to how it moves through time.The link between variables like velocity, location, and acceleration that are observed at various points in time is thus the definition of the equation of motion.The three equations of motion are the laws that govern how an object moves in one, two, and three dimensions.When the body is travelling straight ahead with a constant angular velocity, these equations are utilized.The three equations look like this:
The first motion equation is v = u + at
The second equation of motion is s = ut + at^2 /2
The third equation of motion is v^2 = u^2 + 2as
Using Second equation of motion:
s(t) = v₀t + 1/2 at²
= 11t + (1/2)(-5) t²
= 11 t - 5/2 t².
On differentiating the above equation with respect to time, we have
s’(t) = 11 - 5t
Then equating the equation to 0, we find
s’(t) = 0
11 - 5t = 0
5t = 11
t = 11/5
The astronaut reaches the maximum height at time t = 11/5 = 2.2 seconds.
Therefore, the maximum height achieved by the astronaut is
s = 8(11/5) - (5/2)(11/5)²
= 88/5 - (5/2)(121/25)
= 88/5 - 60.5/5
= 27.5/5
= 5.5 feet.
The astronaut touches the ground at time t > 0 such that
s(t) = 0
11t - 5/2 t² = 0.
5/2 t² - 11t = 0
5t² - 22t = 0
t(5t - 22) = 0
t = 0 or 5t - 22 = 0
5t = 22
t = 22/5
= 4.4 seconds
Hence,
a) the astronaut goes to a maximum height of 5.5 feet.
b) the astronaut is off the ground for about 4.4 seconds
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an important news announcement is transmitted by radio waves to people sitting next to their radios 11 km from the station and by sound waves to people sitting across the newsroom 5.84 m from the newscaster. taking the speed of sound in air to be 343 m/s, who receives the news first?
As we see the far people receive the news before the people across the news-station room because the electromagnetic wave is much greater than sound wave.
What is electromagnetic wave?In physics, electromagnetic wave consists of electromagnetic field waves that propagate through space and carry electromagnetic radiation energy. These include radio waves, microwaves, infrared rays, light, ultraviolet rays, X-rays, and gamma rays.And we call these electromagnetic waves 'electric' because they have an electric field, and we call them 'magnetic' because they have a magnetic field, and the wave equation Because it propagates outward according to the , it resembles all the other waves we have seen.Electromagnetic waves differ from mechanical waves in that they do not require a medium for propagation. This means that electromagnetic waves can propagate not only in air and solids, but also in vacuum space. An electromagnetic wave consists of two waves oscillating perpendicular to each other.One is an oscillating electric field and the other is an oscillating magnetic field. The wave propagation direction is perpendicular to the electric and magnetic fields.To learn more about electromagnetic wave from the given link :
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