Average velocity depends on the molar mass of the molecule, and it is highest for [tex]H_{2}[/tex]. Average kinetic energy is the same for all molecules, at a constant temperature, because it does not depend on molar mass.
What is Kinetic energy?
An object's kinetic energy is the energy it has as a result of motion. It is described as the effort required to move a mass-based body from rest to the indicated velocity.
What is Molar mass?The sum of all the atoms' individual masses in grams that make up a mole of a specific molecule is known as the molar mass, sometimes referred to as molecular weight. Grams per mole is the unit of measurement.
Hence, average velocity depends on the molar mass of the molecule, and it is highest for [tex]H_{2}[/tex].
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a monochromatic light beam is incident on a barium target that has a work function of 2.50 ev. if a potential difference of 1.00 v is required to turn back all the ejected electrons, what is the wavelength of the light beam? 355 nm 497 nm 744 nm 1.42 pm none of those answers
The wavelength of the light has beam 355 nm.
What is a wavelength?
A wavelength is the measure of a wave's distance from one peak to the next. It is the physical distance between two successive wave crests or troughs, and is usually measured in meters, nanometers, or micrometers. Wavelengths are an important aspect of light, sound, and other types of waves. Wavelengths are often used to describe the properties of these waves such as their color, pitch, and intensity. Wavelengths are also related to the frequency of a wave, with shorter wavelengths associated with higher frequencies and longer wavelengths associated with lower frequencies.
The wavelength of the light beam can be calculated using the equation λ = h/eV, where h is Planck's constant, e is the charge of an electron, and V is the potential difference in volts.
For this question, the wavelength of the light beam is therefore λ = (6.626 x 10-34 Js)/(1.602 x 10-19 C x 1 V) = 4.13 x 10-7 m or 355 nm.
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In Newton's second law, F = ma, the mass m is an inertial mass. True or false?
It is True since mass m is an inertial mass.
Mass at rest. This is mostly explained by Newton's law, the all-too-famous formula F = ma, which asserts that an object will accelerate proportionately to the force F applied to it, with the mass of the object serving as the constant of proportion. In very simple terms, you may calculate the inertial mass by applying a force of F Newtons to an object, measuring the acceleration in m/s2, and then multiplying that value by the acceleration to get the inertial mass m in kilograms. It's also intriguing to note that there is no physical distinction between inertial mass and gravitational mass. The values have been verified by numerous trials, and the results have consistently agreed with the margin of error for the experiments
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a -kg bullet is fired with a velocity of 108.6 m/s toward a 5.99-kg block moving at a speed of 0.280 m/s in the same direction. the bullet emerges with a speed of 20.7 m/s and with a small piece of the block with a mass of 0.0016 kg sticking to it. what is the kinetic energy lost in the collision?
The speed of the bullet is 721m/s as it leaves
The speed of the bullet is 937m/s as it enters block 1 .
From the question, we have
+x direction is to the right (so all velocities are positive valued).
(a) Applying momentum conservation,
(0.0035kg)ν=(1.8035kg)(1.4m/s)
⇒ν=721m/s .
(b) We use momentum conservation to connect the moment the bullet initially contacts the first block to the moment it has passed through it (using the speed v from section (a)).
(0.0035kg)V =(1.20kg)(0.630m/s)+(0.00350kg)(721m/s)
V =937m/s .
Linear Momentum:
The product of an object's mass, m, and its velocity, v, is the vector quantity known as linear momentum. It is represented by the letter "p," which is also used to denote momentum. Please be aware that the body's momentum always points in the same direction as its vector of velocity. Because it is a conserved quantity, a system's overall momentum is always constant. kg/s is the unit of linear momentum.
Complete question:
a 3.50g bullet is fired horizontally at two blocks at rest on a frictionless table. The bullet passes through block 1 (mass 1.20kg ) and embeds itself in block 2 (mass 1.80kg ). The blocks end up with speeds ν 1=0.630m/s and ν2 =1.40m/s (Fig.9-58b). Neglecting the material removed from block 1 by the bullet, find the speed of the bullet as it (a) leaves and (b) enters block 1 .
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what if? if the hole is 10.0 m above the ground and the water is projected horizontally from the hole, how far (in m) from the base of the tank would a bucket have to be initially placed to catch the water from the leak?
The correct response is 1.428 velocity through orifice v2 = 2 gh v2 = 2 * 9.8 * 17 v = 18.254. initially
The amount of time it takes to get to the ground is initially
t=g 2 = 9.8 2100 =4.51s.
b) The horizontal distance before touching the ground, x=ut=204.5=90m c) The constant horizontal velocity over the frequency,
At "A," V x = 20 m/s, and V y = u+at= 0 + 9.8 4.5 = 44.1 m/s
Final velocity is equal to v r= (4.41) + (20) 2 =48.42 m/s tan, which is equal to x V y= 204.41 =2.205 =tan 1.428.
Water is inside a cylinder that is exposed to the atmosphere and is standing upright on a table. Although the side of the cylinder has three holes Speed of outflow at point D is equal to (2gD) length of time it takes to get there
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a microscope stage must have an opening. true or false please guys answer nicely i really need my answer
Indeed, a microscope stage needs to have a hole in it. There must be an aperture in the microscope stage. Only clean lenses for microscopes should be cleaned using lens tissue.
Microscope Stages: There are many different types of microscope stages, each of which is created to serve a particular function. Stages with supplementary tools for handling samples while being observed are among them. The lens is a component of the human eye's anterior portion. The iris, which sits in front of the lens and controls how much light enters the eye, controls light refraction. The lens's suspensory ligament, a ring of fibrous tissue that joins the ciliary body to the lens at its equator, holds the lens in place. The vitreous body is located behind the lens.
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Drag the tiles to the correct boxes to complete the pairs.
Drag the tiles to the correct boxes to complete the pairs.
Match the descriptions to the processes.
Ice cream starts dripping down the sides of an ice cream cone.
Fog is created by using dry ice.
Frost forms on trees on a very cold day.
The mirror gets fogged up when you breathe on it.
Your wet hair dries after a few minutes.
Liquid glass cools and hardens.
Each of the descriptions should be matched to the processes as follows;
Sublimation → Fog is created by using dry ice.
Deposition → Frost forms on trees on a very cold day.
Condensation → The mirror gets fogged up when you breathe on it.
Melting → Ice cream starts dripping down the sides of an ice cream cone.
Evaporation → Your wet hair dries after a few minutes.
Freezing → Liquid glass cools and hardens.
What is a phase change?In Science, a phase change can be defined as the change in the state (phase) of matter of a given chemical compound or substance. Additionally, some examples of a phase change include the following;
Solid to liquidLiquid to gasGas to solidLiquid to solidGenerally speaking, a change in the state (phase) of matter that results in the release of energy is known as an exothermic reaction and they include the following:
Deposition: such as when frosts are formed on a tree due to low temperatures.Condensation: such as the fog that is formed on a mirror when it is breathed upon.Freezing: such as when a liquid is converted from a liquid state to solid state.In conclusion, other processes that are associated with a change in the state (phase) of matter are sublimation, melting, and evaporation.
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n a double slit experiment light of wavelength 585.0 nm is used, the separation of the slits is 0.100 mm and the viewing screen is 21.0 cm from the slits. on this screen, what is the separation between the fifth maximum and seventh minimum from the central maximum?
The separation between the fifth maximum and seventh minimum from the central maximum is 2.457mm
Seperation between 5th and 7th minima
=2X(wavelength)x(Distance of screen) / (slit seperation)
=(2x 585x10^-9 x21x10^-2 )/ 0.1x10^-3 =2.457mm
The double-slit experiment shows that light and matter can exhibit properties of both classically defined waves and particles. Furthermore, it demonstrates the fundamental stochastic nature of quantum mechanical phenomena. This kind of experiment was first performed by Thomas Young in 1802 to demonstrate the wave behavior of visible light [1]. At the time, light was thought to consist of waves or particles. With the advent of modern physics about 100 years later, it was recognized that light can indeed exhibit behavior characteristic of both waves and particles. We have demonstrated that it exhibits the same behavior as extended to molecules . Thomas Young's light experiments were part of classical physics long before the concept of quantum mechanics and wave-particle duality was developed. He believes that this proves that the wave theory of light is correct, and his experiment is sometimes called Young's experiment or Young's slit.
This experiment belongs to the general class of "double-path" experiments, in which a wave is split into two separate waves (a wave usually consists of many photons and is better known as a wavefront). .The wave properties of a single photon ), which later combine into a single wave. Changes in the path length of both waves lead to phase shifts that create interference patterns. Another version is a Mach-Zehnder interferometer that splits the beam with a beam splitter.
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two masses, a and b, are attached to different springs. mass a vibrates with amplitude of 8.0 cm at a frequency of 10 hz and mass b vibrates with amplitude of 5.0 cm at a frequency of 16 hz. how does the maximum speed of a compare to the maximum speed of b
Because A and B have maximum speeds of 5.024 m/s and 5.024 m/s, respectively, and because their two masses, a and b, are attached to different springs, both A and B have the same speed.
The speed of an object, also known as v in kinematics, is a scalar quantity that refers to the size of the change in that object's position over time or the size of the change in that object's position per unit of time. The distance travelled by an object in a time interval divided by the length of the interval gives the average speed of the object during that interval.
Vmax for A is 2 * pi * (10) * (0.08) = 5.024 m/s.
Vmax for B = 2*pi*(16)(0.05), which equals 5.024 m/s
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what is the maximum speed vmax of the block during this motion? express your answer in terms of some of all of the variables: k , m , and a .
When the spring reaches its equilibrium length, or the point at which all the energy stored in the spring is transferred to kinetic energy, the block moves at its fastest speed. Since the object is at rest when it starts, Ki = 0. Due to a lack of friction, Wnc is equal to 0.
What is the mass's greatest oscillational speed?A mass oscillating about its equilibrium position can move at a maximum displacement of 0.2 meters and at a maximum speed of 1.2 meters per second.
What is the maximum speed rule?Currently, the top speed limit for automobiles on expressways is 120 kph, and the top speed limit for cars on national highways is 100 kph.
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Do you expect an echo to return to you more quickly or less quickly on a hot day, as compared to a cold day?
more quickly on a hot day
equal times on both days
more quickly on a cold day
Answer:-An echo is heard sooner on a hot day because the speed of sound in air increases with temperature. So the speed of sound in air is more on a hot day, and an echo is heard sooner. The velocity of sound in a gas is directly proportional to the square root of its absolute temperature (v=MρRT ). Since, temperature of a hot day is more than cold winter day, therefore sound would travel faster on hot summer day than on a cold winter day. A reduction in pulse-echo amplitude was observed at all temperatures in the range and was found to be proportional to temperature increase. Sound wave speed is dependent on air temperature. Sound waves move faster in warmer temperatures and slower in colder temperatures. During the day, temperatures are warmest near the surface and cool off with height. This is known as a lapse rate. Due to the high energy of atoms on a hot day, sound travels faster compared to a cold day, where atoms don't have much energy to vibrate freely. Therefore, an echo will return more quickly on a hot day than on a cold day.
you add equal amounts of heat to two identical cylinders containing equal amounts of the same ideal gas. cylinder a is allowed to expand, while cylinder b is not. Part A How do the temperature changes of the two cylinders compare?
Temperature rise will be there in cylinder B more than in cylinder A because of internal energy.
what is internal energy?
The sum of the kinetic and chemical potential energies of all the particles in the system is the internal energy. Particles accelerate and pick up kinetic energy when energy is applied to increase the temperature.
Briefing:
Cylinder A uses the heat it absorbs to both work while expanding and to increase internal energy (or temperature).
While cylinder B solely uses the heat it absorbs to increase its internal energy
As a result, cylinder B's temperature rise is greater than cylinder A's.
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a solution has a poh of 4.75 at 50∘c. what is the ph of the solution given that kw=2.35×10−14 at this temperature?
In other words, pH equals the negative log of the KW value given at 2.35 times 10 to the negative 14 -30H given at 4.75°C temprature. We also obtain 888.
What is pH?The pH scale determines how acidic or basic water is. The range is 0 to 14, with 7 representing neutrality. Acidity is indicated by pH values below 7, whereas baseness is shown by pH values above 7. In reality, pH is a measurement of the proportion of free hydrogen and hydroxyl ions in water.
Why is pH so crucial?A solution's pH is a significant indicator of its chemical composition. The pH can affect how readily available nutrients are, how biological processes work, how bacteria behave, and how chemicals behave.
If Kw = [H⁺][OH⁻] = 2.5 x 10⁻¹⁴, then
log₁₀ [H⁺] + log₁₀ [OH⁻] = log₁₀ (2.5 x 10⁻¹⁴), or
-log₁₀ [H⁺] - log₁₀ [OH⁻] = -log₁₀ (2.5 x 10⁻¹⁴), which is
pH + pOH = -log₁₀ (2.5 x 10⁻¹⁴) = 13.60
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A camel of weight W Newtons has a load of w Newtons on its back. The camel stands on a bridge. Give the force of the bridge on the camel.
The force of the bridge on the camel is given as - (W + w) N.
What is the force of the bridge on the camel?According to Newton's third law of motion, for every force, there is an equal but oppositely-directed force.
The force of gravity acting on the camel produces a downward force that acts perpendicular to the plane of the surface of the bridge.
According to Newton's law of motion, a balancing force acts on the camel in the opposite direction of the weight of the camel. This is the force of the bridge in the camel.
The total downward force acting on the bridge = (W + w) N
The total upward force acting on the camel = - (W + w) N
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PLEASE HELP!! 25 POINTS!!
Please draw or show a picture of a free body diagram of a
car moving
Answer: Attached JPG
Explanation:
FBD shows the forces acting on an object. If you where given no values (mass, acceleration, μ, etc...) then simply label the various vectors. Vectors show direction and magnitude as in how big the force is.
If you where given the mass you can find the weight and normal force (not inclined plane) by multiplying mass times gravity. Fg=Fn because its not moving in the y dimension (up and down).
If given acceleration and told no friction then the force applied would be mass times acceleration.
If given friction force you have to set up the equation m*a=Fa-Ff and then plug in variables.
It gets more complicated when you are given μ. To find these force then you have to set up the equation Ff=μFn. Plug in variables to find Ff, then set up previously listed equation.
Hope this helps
Ravi uses two lenses A and B of same size and same material as shown. P1 and P2 are the powers of A and
B. An object is kept at the same distance from the lens between F and 2F of each lens on the principal axis
in turn. Let I1 and I2 be the image formed by two lenses respectively. What is the relation of image distances
of both lens ?
please help me fast
The relationship between image distances and object distances for a lens is given by the lens formula: 1/I = 1/f - 1/u, where I is the image distance, f is the focal length of the lens, and u is the object distance.
How to cause image formation in lenses?In the given scenario, the object is kept at the same distance from both lenses A and B, which is between F and 2F of each lens. The image distances I1 and I2 will be different for the two lenses because the focal lengths of the lenses are different, as represented by the different powers P1 and P2.
We can use the lens formula to find the relationship between the image distances of the two lenses.
For lens A: 1/I1 = 1/f1 - 1/u
For lens B: 1/I2 = 1/f2 - 1/u
Where f1 and f2 are the focal length of lenses A and B respectively.
As we know that the object distance is same for both lenses, we can subtract these two equations to get the relationship between I1 and I2.
1/I1 - 1/I2 = 1/f1 - 1/f2
This equation shows that the relationship between the image distances of the two lenses is determined by the difference between the focal lengths of the lenses. If the focal lengths of the lenses are equal, the image distances will also be equal. But if the focal lengths are different, the image distances will also be different.
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what are the two main observational problems with the original big bang theory of the universe
The first law of thermodynamics, which states that you cannot produce or destroy matter or energy, is broken by this. Critics assert that the big bang theory implies the universe didn't exist before the big bang.
According to a theoretical hypothesis known as the Big Bang theory, the cosmos first existed in a state of extreme density and heat. The evolution of the observable universe from the earliest known times through its later large-scale form is explained by a variety of cosmological models of the Big Bang. These models provide a thorough justification for a wide variety of known phenomena, including the abundance of light elements, cosmic microwave background (CMB) radiation, and large-scale structure. Cosmic inflation, or the abrupt and extremely rapid expansion of space during the Universe's early moments, provides an explanation for the flatness problem, or the appearance of uniformity over the whole cosmos. The initial conditions of the Big Bang, however, are not currently well modeled by any commonly accepted quantum gravity theory.
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a runner moving at a speed of 7.20 m/s rounds a bend with a radius of 36m. what is the centripetal acceleration of the runner?
The centripetal acceleration of the runner is 1.44m/sec² if he is moving at a speed of 7.20m/sec while bending a radius of 36m.
Centripetal acceleration increase is characterized as the property of the movement of an item, crossing a roundabout way. Any item that is moving all around and has a speed increase vector pointed towards the focal point of that circle is known as Centripetal speed increase.
You probably seen different instances of centripetal speed increase in your regular daily existence. In the event that you drive a vehicle around a circle, your vehicle is going through centripetal speed increase and a satellite circling the earth likewise follows a centripetal speed increase. Centripetal means towards the middle.
Centripetal acceleration increase can be estimated in meters each second as it is the quantity of meters each second by which your speed changes consistently. At the point when an item is moving in a round movement, it very well may be estimated by utilizing the accompanying condition
[tex]a_c[/tex]=(v²)/r
Where,
[tex]a_c[/tex] is the centripetal acceleration increase in m/sec²
v is the speed in m/sec
r is the sweep in m.
So, we have v=7.20m/sec, r=36m.
So,[tex]a_c[/tex]=(7.20)²/36
=>[tex]a_c[/tex]=(51.84)/36
=>[tex]a_c[/tex]=1.44m/sec²
Hence, centripetal acceleration is 1.44m/sec².
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young's double-slit experiment is performed with 575-nm light and a distance of 2.00 m between the slits and the screen. the tenth interference minimum is observed 7.10 mm from the central maximum. determine the spacing of the slits (in mm).
According to the young's double-slit experiment, the spacing of the slits is 1.54 mm.
Young's double-slit experiment uses two coherent light sources placed a short distance apart.
Usually only a few orders of magnitude larger than the wavelength of light is used. Young's double slit experiment helped to understand the wave theory of light.Wavelength of the light used = λ = 575 nm
Distance between the slits and the screen = D = 2.00 m
The minimum tenth interference = 7.10 mm
As we know the tenth minimum interference can be calculated by the formula: (19/2) (λD/d)
here 'd' is the spacing between the slits.
7.10 * [tex]10^{-3}[/tex] = (19/2) (575 * [tex]10^{-9}[/tex] * 2/d)
7.10 = (9.5) (1154 * [tex]10^{-6}[/tex] / d)
7.10 = 10963 * [tex]10^{-6}[/tex] /d
d = 1544.0 * [tex]10^{-6}[/tex] m
d = 1.54 [tex]10^{-3}[/tex] m
d = 1.54 mm
The spacing of the slits is 1.54 mm.
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When running at its operating speed_ 220- dc motor with an armature whose resistance What series resistance would be requlred to Iimit the starting current to 20 A? draws current of 21.0
220-dc motor powered by a 5.3 ohm armature whose resistance is running at its operating speed the series resistance would be necessary to keep the initial current under 20 A
Distance travelled in a unit of time is referred to as speed. It is the rate of movement of an object. Speed is a scalar quantity and the velocity vector's magnitude. There is no clear direction to it. An object is travelling more quickly if its speed is higher. Slower motion is indicated by a lower speed. In simple words, we define speed or velocity as the distance travelled in a specific amount of time. If an automobile is driving faster if its speed is higher. A slow vehicle has less speed, as we say. if an object moves quickly.
Req = R + r = 2 + r
Req = V/I2 + 2 + r = 220/30 60 + 30 r = 220 30 r = 160 r = 5.3 ohm
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an empty, isolated parallel plate capacitor has stored energy of 8.09 j. then a material with a dielectric constant of 4.80 is inserted between the plates. how much energy is now stored in the capacitor.
After a material with a dielectric constant of 4.80 is inserted between the plates, energy remains same and it be 8.09 joule now stored in the capacitor.
What is law of conservation of energy?Energy cannot be created or destroyed, says the law of conservation of energy. However, it has the ability to change its form.
The total energy of an isolated system is constant when all sources of energy are taken into account.
As the energy of 8.09 joule stored in a capacitor, which is isolated, when a material with a dielectric constant of 4.80 is inserted between the plates, energy remains same due to conservation of energy and it be 8.09 joule now stored in the capacitor.
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a wire has a diameter of 0.852cm and is 8.49m long. when connected to a 15.5v voltage source, the wire carries a 75.3a current. what is the resistivity, in ohm meters, of the wire?
The resistivity, in ohm meters, of the wire is 0.001228 Ωm.
Resistivity is a measure of a material's resistance to electric current. It is the inverse of electrical conductivity and is usually expressed in ohm-meters (Ω⋅m). Resistivity is an intrinsic property of a material, meaning that it does not depend on the size or shape of the material.
Resistivity is typically measured using a four-point probe method. This involves attaching four electrodes to the material, and then measuring the voltage between the two inner electrodes while passing a known current through them. The resistivity can then be calculated using Ohm's law.
Resistivity = (Voltage x Length) / (Current x Area)
= (15.5 x 8.49) / (75.3 x (π x (0.852/2)^2))
= 0.001228 Ωm
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PLEASE HELP! 30 POINTS!!!
Please draw or show a car moving at a constant speed
I drew the first picture myself, and the second one is the image
a 46 g marble moving at 1.9 m/s strikes a 23 g marble at rest. assume the collision is perfectly elastic and the marbles collide head-on. part a what is the speed of the first marble immediately after the collision?
The speed of the first marble immediately after the collision (assuming it is a perfectly elastic collision) is 0.63 m/s.
In physics, an elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remain the same. In an ideal, perfectly elastic collision, there is no net conversion of kinetic energy into other forms such as heat, noise, or potential energy.
How to calculate the speed of the first marble after the perfectly elastic collision?
The formula for a perfectly elastic collision as follows :
M₁ * U₁ + M₂ * U₂ = M₁ * V₁ + M₂ * V₂
1/2 * M₁ * U₁² + 1/2 M₂ * U₂² = 1/2 M₁ * V₁² + 1/2 M₂ * V₂²
Where
M1 = mass of first marble
M2 = mass of second marble
U1 = initial speed of first marble
U2 = initial speed of second marble
V1 = speed of first marble after collision
V2 = speed of second marble after collision
From the question given :
M₁ = 46g
M₂ = 23g
U₁ = 1.9m/s
U₂ = 0m/s
V₁ = (M₁ - M₂ / M₁ + M₂) * U₁ + (2M₂ / (M₁ + M₂)) * U₂
= (46 - 23 / 46 + 23) * 1.9 + 0
= 0.63 m/s (rounded)
Therefore, the speed of the first marble after its perfectly elastic collision will be 0.63 m/s.
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find the area of the surface. the helicoid (or spiral ramp) with vector equation r(u, v) = u cos(v) i u sin(v) j v k, 0 ≤ u ≤ 1, 0 ≤ v ≤ 3.
The area of Surface = [tex]{ }^3 k \pi\left[\frac{\ln (1+\sqrt{2})+\sqrt{2}}{x}\right]=3 \pi[\ln (\sqrt{2}+1)+\sqrt{2}] \\[/tex]
What is a vector equation ?A vector equation is a linear combination of vectors with possibly unknown coefficients.
What is vector ?Vectors are defined as quantities that have both magnitude and direction. Examples include weight, acceleration, force, displacement, and velocity. Scalar quantities are those that merely have magnitude and no direction.
According to the given information
r(u, v) =[tex]\langle u \cos v, u \sin v[/tex], [tex]v\rangle \quad 0 \leqslant u \leqslant 1[/tex]
[tex]0 \leqslant v \leqslant 6 \pi \\[/tex]
[tex]& \gamma_u=\langle\cos v, \sin v, 0\rangle \\[/tex]
[tex]& r_v=\langle-u \sin v, u \cos v, 1\rangle \\[/tex]
[tex]& r_u \times r_v[/tex] = [tex]\left|\begin{array}{ccc}\hat{i}_i & \hat{j} & \hat{k} \\\cos v & \sin v & 0 \\-u \sin v & u \cos v & 1\end{array}\right| \\[/tex]
= [tex]\hat{\imath}[\sin v-0]-\hat{\jmath}[\cos v]+\hat{k}\left[u \cos ^2 v+u \sin ^2 v\right] \\[/tex]
[tex]& =\langle\sin v,-\cos v, u\rangle \\& \left\|\gamma_u \times \gamma_v\right\|=\sqrt{\sin ^2 v+\cos ^2 v+u^2}=\sqrt{1+u^2} \\[/tex]
[tex]& A_{r e}=\iint\left\|r_u \times r_v\right\| d A \\& =\int_0^1 \int_0^{6 \pi} \sqrt{1+u^2} d v d u \quad=\int_0^1 \sqrt{1+u^2} d u[v]_0^{6 \pi} \\& =6 \pi \int_0^1 \sqrt{1+u^2} d u=\frac{6 \pi}{2^2}\left[\frac{1}{2}\left(x \sqrt{1+u^2}+\ln \left(\sqrt{1+u^2}+1\right)\right]_0^1\right. \\& ={ }^3 k \pi\left[\frac{\ln (1+\sqrt{2})+\sqrt{2}}{x}\right]=3 \pi[\ln (\sqrt{2}+1)+\sqrt{2}] \\[/tex]
So
The area of Surface = [tex]{ }^3 k \pi\left[\frac{\ln (1+\sqrt{2})+\sqrt{2}}{x}\right]=3 \pi[\ln (\sqrt{2}+1)+\sqrt{2}] \\[/tex]
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a volleyball hit into the air has an nitial speed of 10. meters per second. which vector best represents the angle above the horizintal tha the bal should be hit to remain in the air for the greatest amount of time
The greatest amount of time is going to be achieved when the volleyball is hit with its maximum velocity and that's his maximum vertical component.
In the area has an initial speed of 10 m/s, vector pressure represents the angle above the horizontal, that the ball should be hit to remain there for the greatest amount of time. So the greatest amount of time is going to be achieved when the volleyball is hit with its maximum velocity. And that's his maximum vertical component. And that's going to happen only when the angle is 90° because the entire velocity is on the vertical component. So, this is the vertical component of the velocity that determines the time of flight.When a body is launched in projectile motion making an angle with the horizontal, its initial velocity has both horizontal and vertical components.The vertical component of the body describes the influence of velocity in displacing the component vertically. The vertical component is sine of the angle.To know more projectile motion visit:
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he noisy estabrook stifling team recently adopted a law to reduce the allowed sound level from leaf blowers from the current level of 96 db to 68 db. part description answer save status a. what is the ratio of the new allowed intensity to the previously allowed intensity?
The ratio of the newly allowed intensity to the previously allowed intensity is 3.1623 x 10⁻³.
Banks says a leaf blower makes 64 to 78 decibels at 50 feet. To the operator's ear, the noise is 95-115 decibels. According to Dangerous Decibels, a public-private partnership aimed at reducing hearing loss, typical speech is around 60 decibels, washing machines 75 decibels, and chainsaws 115 decibels.
Performance that fits your needs. Setting the motor to a low speed makes less noise. According to the American Green Zone Alliance, an organization dedicated to zero-emission landscaping, the average fan produces about 65 dB of noise. Compare this to the average noise level of a traditional gas backpack blower.
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a car is moving along a road at 32 m/s. suddenly the driver sees that the road ends and there is a cliff 65 meters ahead. he slams on the brakes and decelerates at the rate of 8 m/s^2. will he drive off the cliff?
The car will not drive off the cliff.
Motion is the phenomenon in which an object changes its position. Motion is represented in terms of displacement, distance, velocity, acceleration, speed, and time.
We know that [tex]v^{2} - u^{2} = 2aS[/tex] where,
v= final velocity
u = initial velocity
a = acceleration/deacceleration
S = distance
Given , v = 32m/s , u =0 and a = 8 m/s^2
Putting these values in above equation we get,
S = 64m
Given cliff is at a distance of 65m.
So the car will not fall off the cliff.
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what is the sequence of energy transformations from the moment the ball is dropped to the moment the board is bent to its maximum extent and the ball is at rest? (ignore any losses to thermal energy.)
The sequence of energy transformations from the moment the ball is dropped to the moment the board is bent to its maximum extent and the ball is at rest is as follows:
1. The ball has potential energy (gravitational potential energy) from being held above the board.
2. As the ball is dropped, it gains kinetic energy as it accelerates to the ground.
3. When the ball hits the board, the kinetic energy is converted into elastic potential energy as the board bends.
4. As the board continues to bend, the elastic potential energy is converted into thermal energy.
5. Finally, when the board reaches its maximum extent, the ball is at rest and its kinetic energy has been completely converted into thermal energy.
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public television station kqed in san francisco broadcasts a sinusoidal radio signal at a power of 777 kw. assume that the wave spreads out uniformly into a hemisphere above the ground.at a home 4.50 km away from the antenna, what average pressure does this wave exert on a totally reflecting surface?
The average pressure does this wave exert on a totally reflecting surface is 5.13*10^-12 pa.
As a result of the momentum transfer between the electromagnetic field and the object, the idea of radiation pressure is created. Since electromagnetic waves carry transport momentum, this force can be observed.
The mechanical pressure that is applied to any surface as a result of the electromagnetic field and the object exchanging momentum is known as radiation pressure. When photons hit the object's surface in this instance, momentum is transferred.
The composition of the surface and the level of light intensity employed determine the radiation pressure on any given surface.
Given,
power=777Kw
r=4.50 Km
According to the condition given, we get
I = Pav/ A
I = 777000 w/2π(4000m)^2
I = 7.7 *10^-3 w/m²
Average pressure is given by
PaV = 2I/c
Pav = 2* 7.7 x 10^-3/3*10^8
Pav = 5.13*10^-12 pa.
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In a transformer, there is a primary voltage of 70V and a secondary voltage of 210V. Which statement best describes this transformer?
It’s a step-up transformer because the secondary voltage is greater than the primary voltage.
It’s a step-up transformer because the primary voltage is greater than the secondary voltage.
It’s a step-down transformer because the secondary voltage is greater than the primary voltage.
It’s a step-down transformer because the primary voltage is greater than the secondary voltage.
The transformer having a primary voltage of 70 V and a secondary voltage of 210 V is a step-up transformer (1st option)
What is a transformer?This is a device tthat transfers electrical energy either by steping-up or steping-down voltage.
Generally, there are two main types of transformer:
Step-up transformerStep-down transformerIn step-up transformer, secondary voltage is higher than the primary voltage
In step-down transformer, primary voltage is higher than the secondary voltage
With there above information in mind, we can conclude that the correct anwer to the question is:
It’s a step-up transformer because the secondary voltage is greater than the primary voltage (1st option)
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