The maximum value of the car’s velocity in order to prevent the car from skidding off the road is (urg)^(1/2)
What is meant by velocity ?The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed).
The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.
The pace at which an object's position changes in relation to a frame of reference is known as its velocity, and it depends on time. The definition of velocity is the specification of a moving object's speed and direction (for example, 60 km/h to the north).
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of space limitations, the tubes should not exceed 6 ft in length. determine the configuration of a heat exchanger to accomplish these needs. the average film condensation heat transfer coefficient on the outside of the tube can be assumed to have a value of 8000 w/m2 k.
Precisely, water has to absorb 4,184 Joules of heat for the temperature of one kilogram of water to increase 1°C. Conduction equations can be used to model heat transfer between a fluid and a solid wall.
The linear temperature profile of a stationary layer of liquid clinging to the wall is considered to be the sole cause of the temperature differential between the fluid and the wall. Heat is transmitted between hot and cold fluids through a solid wall in a heat exchanger. Process streams or separate sources of heat, like fluids or sources of refrigeration, may be the fluids. Corrosion, deposits of reaction products, or organic growths can all eventually decrease heat transfer. Fouling resistances provide a quantitative explanation for these phenomena. combining various film coefficients to create an overall heat transfer coefficient.
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suppose the wave is traveling in a medium in which the speed of the wave is 0.75c. determine the maximum magnetic field strength if the maximum electric field strength in the electromagnetic wave is 140 kv/m
The maximum magnetic field strength is 6.22 × 10⁻⁴ T. The result is obtained by dividing the maximum electric field strength by the speed of the wave.
What is the maximum magnetic field strength?The ratio of electric field strength to magnetic field strength in any electromagnetic wave is equal to the speed of light.
E/B = c
Where
E = electric field strengthB = magnetic field strengthc = speed of light (3 × 10⁸ m/s)If the speed of the medium wave is 0.75c and the maximum electric field strength is 140 kV/m. The maximum electric field strength would be
B = E/0.75c
B = 140.000/0.75c
B = 140.000/(0.75 × 3 × 10⁸)
B = 14×10⁻⁴/2.25
B = 6.22 × 10⁻⁴ T
Hence, the maximum electric field strength in the electromagnetic wave is 6.22 × 10⁻⁴ T.
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the velocity of an object is given v(t), and the acceleration is given by a(t). what is the relationship between the total
The rate at which velocity changes is called acceleration. (Attensity exists when velocity varies.) If a moving object changes speed.
Why does time accelerate the rate at which velocity changes?A motion's acceleration is the rate at which it changes from one velocity to another. A velocity's rate of change with respect to time is referred to as its acceleration. The amount and direction of acceleration are both properties of a vector quantity.
A change in velocity is known as what?
A velocity change's acceleration is measured. Acceleration is the measure of how quickly a velocity changes with time. The acceleration measure used in SI is M/s2.
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if it takes 4.0 n to stretch a spring 6.0 cm and if the spring is then cut in half, what force does it take to stretch one of the halves 3.0 cm?
If it takes 4.0 N to stretch a spring 6.0 cm and if the spring is then cut in half, then force it takes to stretch one of the halves 3.0 cm is also 4N.
What happens when a spring is stretched?When a spring is stretched, its length changes by an amount x from its equilibrium length, and it exerts a force F = -k x in a direction towards its equilibrium position.
Given, F= 4 N
x= 6 cm
As we know that, F= k x
4= k * 6
k = 4/6
when , x = 3 cm, K become 2 times= 2 x
Now, Force= 2* 4/6 * 3
Force to stretch= 4 N
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A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is known that the standard deviation of the population is 22 mph. A 95% confidence interval for population mean is determined. If we are to reduce the sample size to 100 (other factors remain unchanged), the 95% confidence interval would:.
The average speed of 121 cars traveling on to an interstate in a random sample was 65 mph. The same values (60.688, 69.312) are used to calculate the 95 percent confidence range for the value of.
What are speed and its measure?The pace at which a distance changes over time is referred to as speed. It has a dimension of time-distance. As a result, the fundamental unit of time as well as the basic unit for length are combined to form the High silica content of speed.
What is an example of speed?You can determine an object's speed if you know how far it moves in a given amount of time. For instance, an automobile is moving at 70 miles per hour if it covers 70 miles in an hour.
Briefing:
The sample size is n= 121
The sample's average speed is 65 mph.
σ = 22mph
100 should be the new sample size other factors remain unchanged so,
given The sample size is n= 100
σ = 22mph
The 95 % of confidence interval for is calculated as follows:
(65 - 4.312 ,65 +4.312)
(60.688 , 69.312) ≅(61 ,69)
similar to (61.08, 68.92) ≅(61 ,69)
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During the formation of our solar system, the nebular dust began to cool and sections began to condense. Eventually, small grains stuck to one another via an electromagnetic force. As they grew, gravity helped to speed up the building process until planetesimals were formed. This process is called.
The building process until planetesimals were formed. This process is called accretion.
What is accretion?
In physics and astronomy, accretion is indeed the process by which more matter, usually gaseous matter, inside an accretion disc, is gravitationally drawn into a massive object. The majority of astronomical objects, including planets, galaxies, and stars, are created through accretion processes. Otto Schmidt first put forth the idea that Earth and other terrestrial planets created from meteoric material in 1944. William McCrea then advanced the protoplanet theory in 1960, and Michael Woolfson later advanced the capture theory. The modern Laplacian theory was created in 1978 by Andrew Prentice, who revived the original Laplacian ideas regarding planet formation.
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at what positive value of displacement x in terms of a is the potential energy 1/9 of the total mechanical energy?
When [tex]x=0.33A[/tex] the system's potential energy is 1/9 of the total mechanical energy.
Explanation:
In a simple harmonic motion the mechanical energy is conserved and is expressed by the relation
Em = ½ k A²
At all points of movement the mechanical energy and
Em = K + U
remember that potential energy is
U = ½ k x²
they ask us for the point where
U = 1/9 Em
we substitute
½ k x² = 1/9 (½ k A²)
x = √1/9 A
x = 0.33 A
Energy in Example: What is it?Energy may take on a variety of shapes. Examples of these include: electrical energy, sound energy, chemical energy, nuclear or atomic energy, light energy, heat energy, mechanical energy, gravitational energy, and so on. Each form has the ability to shift or transform into the others.
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the yellow-red stains that occur on some rock surfaces is the result of which is a form of weathering.
The yellow red stain that occurs on some rock surfaces is the result of Oxidation Form of weathering
What is Oxidation ?A molecule, atom, or ion undergoes oxidation when it loses electrons as a result of a process.
When a molecule, atom, or ion's oxidation state is raised, oxidation takes place. When there is an increase in electrons or a drop in an atom, molecule, or ion's oxidation state, the process is known as reduction.
According to the given information
When you see crimson stains on rock, you are looking at the results of oxidation, which is when oxygen causes chemical changes. Steel and other iron-containing materials oxidise, which sets off a chemical reaction that causes the material to rust. Similar chemical weathering occurs in rocks.
The yellow red stain that occurs on some rock surfaces is the result of Oxidation Form of weathering
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consider an electron and a proton separated by a distance of 1.0×10−10 m. the electric force of attraction is f. the separation is decreased to value 0.5×10−10 m. the electric force between the electron and proton becomes:
The Electric force between electron and proton is 0.25 x 10⁻¹⁰ N.
Even though these forces (electrons repelling one another, electrons being drawn to the nucleus, etc.) exist within an atom, they are in equilibrium in the absence of any other external influences.
If the charges were incompatible, i.e. Two charges will attract one another if there is one positive and one negative.
Consider the two charges to be a proton and an electron that are equally spaced apart. The amount of charge on an electron is equivalent to the charge on a proton.
This means that unless a change occurs, no movement is produced solely by electrostatic force.
[tex]F=-K[X-x][/tex]
F=-0.5 [1.0 -0.5]x 10⁻¹⁰
F=0.25 x 10⁻¹⁰ N
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a cell with volume 52 m3 contains gas and a machine. the machine is then turned on remotely, expanding the box to volume of 88 m3 and giving off 830 kj of heat to the gas. the change in internal energy is then determined to be 530 kj. assuming pressure remained constant during this process, what is the pressure of the gas in the cell?
The gases in the cell is under 8333.3 Pa of pressure.
What are different sorts of pressure?Pressure is the term used to describe the physical force exerted on an object. Per unit area, a perpendicular force is delivered to that same surface of the objects. F/A is the primary formula for tension . Pascals are a unit of pressure (Pa). Relative, atmospheric, disparity, and gauge pressures are various types of pressure.
Briefing:
By using the first law of thermodynamics, we can find the work done by the gas:
ΔU = Q -W
where in this problem:
ΔU = 530kJ is the change in internal energy of the gas
Q = 830KJ is the heat absorbed by the gas
W is the work done by the gas (positive if done by the gas, negative otherwise)
Therefore, solving for W,
W = Q - ΔU
= 830 - 530
= 300KJ
= [tex]3.00 .10^{5}[/tex] J
So, the gas has done positive work: it means it is expanding.
Then we can rewrite the work done by the gas as
[tex]W = p(V_{f} -V_{i} )[/tex]
where:
[tex]V_{i} = 52 m^{3}[/tex] is the initial volume of the gas
[tex]V_{f} = 88 m^{3}[/tex] is the final volume
P is the pressure
And solving for P, we find
[tex]V_{f} = V_{i} + \frac{W}{P}[/tex]
[tex]88 = 52 + \frac{3.00.10^{5} }{P}[/tex]
[tex]88-52 = \frac{3.00.10^{5} }{P}[/tex]
[tex]36 = \frac{3.00.10^{5} }{P}[/tex]
[tex]P = \frac{3.00.10^{5} }{36}[/tex]
[tex]P = 8333.3 Pa[/tex]
Therefore , the pressure of the gas is 8333.3 Pa
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During soccer practice one of your teammates sprains her ankle. You take an instant cold pack from the first aid kit to use on her ankle. It is not at all cold when you take it out. The instructions on the cold pack tell you to punch the pack so that you break open a sake of chemicals inside it. When you do that, you notice that the cold pack rapidly becomes quite cold. What happened?.
A chemical reaction took place absorbing thermal energy from the pack
What is sprains ?Ligaments, which are tenacious bands of fibrous tissue that hold two bones together in your joints, can be stretched or torn during a sprain. An ankle sprain is the most typical type of injury. The first course of treatment entails rest, ice, compression, and elevation.
A direct or indirect injury (trauma) that misaligns the joint, overextends it, and occasionally tears the supporting ligaments results in a sprain. A sprain can result from various injuries, for instance: rolling your ankle while running, switching directions, or coming down from a jump
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if the moon were five times more distant from earth than it is now, how would the gravitational force that earth feels from the moon be different?
If the moon were five times more distant from earth than it is now, the gravitational force would decrease.
How are distance and gravitational forces related?
Inversely related to the square of the distance between the two objects is the gravitational force, which is directly proportional to the masses of the two objects.
In other words, as objects get heavier, their gravitational pull is stronger; however, as objects get farther apart, their pull is weaker.
Gravity's pulling power weakens as a pair of objects are separated by more space.
As one gets farther away from a planet, the gravitational field weakens.
Distances measured from the Earth's centre have a clear inverse square relationship with the dilution of gravity that occurs as you move away from the planet's surface.
For, masses, M₁ and M₂, the gravitational constant G, and the increasing distance R ,the gravitational force F is given by, F = G[(M₁*M₂)/R²]
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A 1,168-kg car comes to a stop without skidding. The car's brakes do -23,180 J of work
to stop the car.
Which of the following was the car's velocity when the brakes were initially applied?
The initial velocity of the car when the brake was initially applied is 6.3 m/s.
option D is the correct answer.
What is the velocity of the car when the brake was initially applied?
The velocity of the car when the brake was initially applied is calculated as follows;
Mathematically, kinetic energy formula is given
K.E = ¹/₂mv²
where;
m is the mass of the speedv is the speed of the car when the brake was initially appliedmv² = 2 K.E
v² = ( 2 K.E ) / ( m)
v = √ [ ( 2 K.E ) / ( m) ]
Substitute the given parameters and solve of the initial velocity of the car when the brake was applied.
v = √ [ ( 2 x 23,180 ) / ( 1168) ]
v = 6.3 m/s
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The complete question is below:
A 1,168-kg car comes to a stop without skidding. The car's brakes do -23,180 J of work
to stop the car.
Which of the following was the car's velocity when the brakes were initially applied?
A. 3.2 m/s
B. 1.7 m/s
C. 5.1 m/s
D. 6.3 m/s
he amplitude of a lightly damped harmonic oscillator decreases by 3.0% during each cycle.show answer no attempt what percentage of the mechanical energy of the oscillator is lost in each cycle?
The percentage of mechanical energy of the oscillator lost in each cycle is 5.91 %.
The formula for mechanical energy in an oscillator is given by
E = 1/2 kA²
It is the sum of elastic potential energy and kinetic energy.
Amplitude is nothing but the maximum displacement moved by a point on vibrating body.
It is given that the amplitude A decreases by 3%, then
(E₂ - E₁) / E₁ = [1/2 k (A₂²- A₁²)] /(1/2 k A₁²) = (A₂²- A₁²)/ A₁² = (97² - 100²)/ 100²
⇒ 5.91% of the mechanical energy is lost in each cycle.
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buildings
do not absorb much heat.
can affect the surface albedo.
have a net cooling effect on urban environments.
have a net effect of cooler evenings in urban environments.
can affect the surface albedo.
Buildings can affect the surface albedo.
The surface is the outermost or uppermost layer of a physical item or area. it is the element or place of the object which could first be perceived by an observer through the usage of the senses of sight and contact and is the component with which other materials first engage.
A surface is the outermost layer of any physical object. it is the part of the object that may be perceived by an observer using their experience of sight and touch and is the portion with which surrounding substances first engage.
The chemical and mechanical residences include chemical composition, grain, hardness, energy, and inhomogeneities.
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Purple colored pattern results when Ninhydrin binds with.....................................within fingerprint residue which allows for fingerprint ................................ .
enzymes, development
sweat, removal
amino acids, removal
water, development
amino acids, development
oils, development
enzymes, removal
salts, development
Purple colored pattern results when Ninhydrin binds with amino acid within fingerprint residue which allows for fingerprint development. 5th option.
How does Ninhydrin affect fingerprints?Ninhydrin reacts with the amino acid in the fingerprint deposit to produce a dark-purple product (eccrine secretion). Amino acid helps for the development of fingerprints on paper. It turns dark purple when deposited on paper.
Ninhydrin is a chemical reagent and is most widely used for fingermarks detection on porous surfaces like cardboard and paper. The purple product is often referred to as Ruhemann's purple. It was used in early times for criminology.
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Uranium-235 decays into thorium-231. Write the nuclear equation for this decay and describe the type of particle (alpha or beta) that will be emitted.
The nuclear equation for Uranium-235 decays into thorium-231 is as follows:
²³⁵U₉₂ → ²³¹Th₉₀ + ⁴He₂
Helium also known as alpha particle is been emitted during the decay.
What is Radioactive decay?Radioactive decay is the release of energy in the form of ionizing radiation. Because ionizing radiation can affect the atoms of living organisms, it poses health risks by damaging genetic tissue and DNA. Emitted ionizing radiation may contain alpha particles. Atoms decay radioactively if there is a low-energy nuclear configuration available for transition. The actual decay events of single atoms occur randomly and are not the result of the atom's age or aging. Some known radioactive decay is:
Uranium-235 decays to thorium-231 by emitting alpha particles. Thorium-231 decays to protactinium-231 by beta-minus decay.Protactinium-231 decays to actinium-227 by alpha particle emission.Actinium-227 decays to Thorium-227 by beta-minus decay.To know more about radioactive decay click-
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a wheel with rotational inertia i is mounted on a fixed, frictionless axle. the angular speed ???? of the wheel is increased from zero to ???????? in a time interval t. question what is the average power input to the wheel during this time interval?
the average power input to the wheel during this time interval, power P = I ω f 2 /2 T
What is average power?
It is the average amount of work done or energy converted per unit of time. The average power is often simply called "power" when the context makes it clear. The instantaneous power is then the limiting value of the average power as the time interval Δt approaches zero.
Power P = torque * average angular speed
= I α ( 0 + ω f ) / 2
where I = moment of inertia
α= angular accleration = ω f / T
So, power P = I ω f 2 /2 T
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A ceiling fan has 18-inch blades and turn at a rate of 45 revolutions per minute (rpm). What is the linear speed of the blades in feet per hour?.
If a ceiling fan's 18-inch blades rotate at a rate of 45 revolutions per minute, its linear speed in feet per hour would be 5400 rad per hour.
How can you determine linear speed?Thus, the angular speed times the distance r gives the linear speed of a point on the object. The units of measurement are meters per second and meters per second. where = speed in radians/sec
What are linear speed and angular speed?The pace at which the object rotates is its angular speed, which is measured in rotations per minute, degrees per minute, radians per hour, etc. The linear speed is the rate at which a point on the edge of an object moves in a circle around the item's center.
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if your mass is 60 kilograms on earth, what would your mass be on the moon? if your mass is 60 kilograms on earth, what would your mass be on the moon? 10 pounds 60 kilograms 60 pounds 10 kilograms 360 kilograms
Your mass would be the same on the moon as it is on Earth, which is 60 kg. Despite the moon and Earth having different gravitational fields, mass is a constant indicator of the quantity of matter present.
This suggests that option b) is the proper one.
What is the gravitational difference between the moon and the earth?
The moon won't draw things toward itself with the same force as the Earth since it has a lot less mass than the latter. In other words, even if your mass stays the same, you would weigh less if you traveled to the moon!
The average gravity at Earth's surface is 9.8 meters per second. For example, when something is thrown over the top of a building or the edge of a cliff, it falls at a speed of 9.8 meters per second each second. The surface gravity of the Moon is around 1/6th as strong, or 1.6 meters per second every second.
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I understand that the question you are looking for is:
If your mass is 60 kilograms on earth, what would your mass be on the moon?
a) 10 pounds
b) 60 kilograms
c)60 pounds
d)10 kilograms
e)360 kilograms
if the pressure reading of your pitot tube is 12.0 mm hg at a speed of 210 km/h, what will it be at 830 km/h at the same altitude? assume the density of air at sea level.
The pressure reading of the pitot tube is 12.0 mm hg at a speed of at 830 km/h will be 187.45 mm of Hg.
It is given that,
The pressure reading of the pitot tube =12 mm of Hg
[tex]$\mathbf{p}_1=12 \mathrm{~mm}$[/tex] of Hg
Velocity at this height [tex]$\mathrm{v}_1=210 \mathrm{~km} / \mathrm{h}$[/tex]
Pressure reading at height [tex]$\mathrm{h}_2=$[/tex]
Velocity at this height [tex]$\mathrm{v}_2=830 \mathrm{~km} / \mathrm{hr}$[/tex]
Now applying the concept of the Bernoulli principle
[tex]$$\mathrm{p}_1+\frac{1}{2} \rho \mathrm{v}_1^2+\rho \mathrm{gh}_1=\mathrm{p}_2+\frac{1}{2} \rho \mathrm{v}_2^2+\rho \mathrm{gh}_2$$[/tex]
From the above equation it is clear that
[tex]$$\begin{aligned}\Delta \mathrm{p}_1^2 & =\frac{1}{2} \rho \mathrm{v}_1^2 \\\Delta \mathrm{p}_2 & =\frac{1}{2} \rho \mathrm{v}_2^2 \\\frac{\Delta \mathrm{p}_2}{\Delta \mathrm{p}_1} & =\frac{\frac{1}{2} \rho \mathrm{v}_2^2}{\frac{1}{2} \mu \mathrm{v}_1^2} \\\frac{\mathrm{p}_2}{\mathrm{p}_1} & =\frac{\mathrm{v}_2^2}{\mathrm{v}_1^2}\end{aligned}$$[/tex]
Hence, the value of the Pressure is given in terms of mm of Hg will be:
[tex]$$\begin{aligned}& \frac{\mathrm{h}_2}{\mathrm{~h}_1}=\frac{\mathrm{v}_2^2}{\mathrm{v}_1^2} \\& \mathrm{~h}_2=\mathrm{h}_1\left(\frac{\mathrm{v}_2^2}{\mathrm{v}_1^2}\right) \\& \mathrm{h}_2=\frac{12(830)^2}{210^2}=187.45 \mathrm{~mm} \text { of } \mathrm{hg}\end{aligned}$$[/tex]
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a student performs three trials of a standard two-slit interference experiment. in each trial the material and hence the index of refraction in the region between the barrier and the screen is
In each trial the material and hence the index of refraction in the region between the barrier and the screen is 487.8 nm
Given D=2.05,d=5
m=1,Y1=20cm
we have d sinθ = mλ
λ=dYn/mD=
5*10⁻⁶*20*10⁻²/1*2.05
λ=487.8 nm
In physics, refraction is the direction change brought on by a wave's speed change as it passes through one medium and enters another. In deep water, for instance, waves move more quickly than in shallow water. When two materials with different densities, such as air and glass, are in contact, light waves change their speed. Refraction is the term for the resultant change in direction that results.
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which statement does not describe fission? a very heavy nucleus splits into several medium-weight nuclei. stable, lightweight nuclei start the process. several neutrons are emitted. a fast neutron starts the process.
The statement that does not describe fission is: Stable, lightweight nuclei start the process.
What is Fission?
A bigger atom undergoes fission when a neutron collides with it, causing it to excite and split into two smaller atoms, also referred to as fission products. This process is also known as Nuclear Fission. Additionally, additional neutrons are emitted, and these can start a chain reaction. Each atom splits, releasing a huge quantity of energy.
Hence, The statement that does not describe fission is: Stable, lightweight nuclei start the process.
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The statement that does not describe fission is: Stable, lightweight nuclei start the process.
What is Fission?
A bigger atom undergoes fission when a neutron collides with it, causing it to excite and split into two smaller atoms, also referred to as fission products. This process is also known as Nuclear Fission. Additionally, additional neutrons are emitted, and these can start a chain reaction. Each atom splits, releasing a huge quantity of energy.
Hence, The statement that does not describe fission is: Stable, lightweight nuclei start the process.
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(a) calculate the tension in a vertical strand of spider web if a spider of mass 8.00 × 10−5 kg hangs motionless on it. (b) calculate the tension in a horizontal strand of spider web if the same spider sits motionless in the middle of it. the strand sags at an angle of 12° below the horizontal.
The lateral string has a tension of 1.89*10⁻³N, the vertical string has a tension of 7.84 * 10⁻⁴ N, and indeed the ratio of both strings is 2.41.
What is the physics of tension?The force produced that whenever a load is placed at a few of the ends of a fabric in a direction away from the material's cross-section is known as the tension force. It's common to describe a strain as a "grabbing" force.
Briefing:(a). The net force acting on the strand is T =mg
Here,
T = Tension in the strand
m = mass of the spider
g = acceleration due to gravity
Substitute 8.00×10⁻⁵ kg for m and 9.8m/s² for g in equation.
T = mg
T = 8.00×10⁻⁵ * 9.8m/s²
T = 7.84 * 10⁻⁴ N
Hence, the tension in the vertical strand is 7.84 * 10⁻⁴ N
(b). The net force in the vertical direction is-
2Tsin∅ = mg
Here, g seems to be the acceleration caused by gravity, r is really the stiffness with in strand, m is the spider's mass, and ∅ is the angle the strand is making.
Substitute 8.00×10⁻⁵ kg for m, 9.8m/s² for g and 12º for ∅ in equation.
2Tsin∅ = mg
2T (sin12º) = 8.00×10⁻⁵ kg * 9.8m/s²
T = 8.00×10⁻⁵ * 9.8/ 2sin12º
T = 1.89*10⁻³N
Hence, the tension in the horizontal string is 1.89*10⁻³N.
The ratio of vertical and horizontal string is,
= 1.89*10⁻³N/7.84 * 10⁻⁴ N
= 2.41
Hence, the ratio of vertical and horizontal string is 2.41
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The complete question is-
(a) Calculate the tension in a vertical strand of spider web if a spider of mass 8.00×10⁻⁵ kg hangs motionless on it. (b) Calculate the tension in a horizontal strand of spider web if the same spider sits motionless in the middle of it much like the tightrope walker in Figure 4.17. The strand sags at an angle of 12º below the horizontal. Compare this with the tension in the vertical strand (find their ratio).
An airplane flying horizontally with a speed of 500 km/h at a height of 850 m fires a projectile horizontally in its direction of motion at a speed of 290 m/s relative to the plane. (Calculate the following answers relative to the ground.) (a) How far in front of the release point does the projectile hit the ground (in m)? (b) What is its speed when it hits the ground (in m/s)?
The projectile hit the ground 3,992.97 m in front of the release point. The projectile speed when it hits the ground is 438.5 m/s
When a level-flying aircraft fires a projectile horizontally in the direction of travel, it means:
v₁ = speed of the plane = 500 km/h
v₁ =500 x 1000 km = 138.89 m/s
3600s
v₂ = velocity of bullet with respect to plane = 290 m/s
v = projectile velocity relative to the ground
v = v₁ + v₂ = 428.89 m/s
The projectile moves horizontally, but has projectile motion that moves horizontally and vertically along a parabola curve.
In the vertical direction, the projectile moves with un uniform motion.
uy = initial vertical velocity = 0 m/s
h = height = 850m
g = gravitational acceleration = 9.8 m/s²
2h = 1/2 gt²
2 × 850 = 9.8 × t²
t = √1,7009.8
t = 9.31 seconds
The projectile moves horizontally with constant velocity.
distance
d = vt
d = 428.89 × 9.31
d = 3,992.97m
when the projectile almost touches the ground
vertically
maximum speed
vy = gt = 9.8 × 9.31 = 91.24 m/s
horizontally
vx = v = 428.89 m/s
projectile final velocity
v² = vx² + vy²
v² = 428.89² + 91.24²
v² = 183,946.63 + 8,324.37
v² = 192,271.004
v = 438.5 m/s
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13. adding additional bulbs to a series circuit: a. increases the resistance of the entire circuit. b. decreases the resistance of the entire circuit. c. decreases the power output of the entire circuit. d. increases the flow of current in each bulb.
Adding additional bulbs to a series circuit increases the resistance of the entire circuit.
The correct option is A.
What are series circuits?An easy circuit that enables electrons to move between a or more resistors is called a series circuit. A resistor is anything that consumes energy from a cell (battery). The resistor in a circuit is typically a light bulb. A series circuit offers exactly one route for electric current to go between any two places. These networks have the benefit of making each constituent very reliant on other components.
How does a series circuit operate?In a series circuit, the amount of voltage is the total of the single value drops across each component, and also the current flowing through each component is the same.
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explain why lasers can be used to perform surgery and cut through metal while incandescent light cannot.
The phrase LASER is an acronym of mild Amplification by way of stimulated Emission of Radiation. it's miles a device to provide a sturdy, monochromatic, collimated and tremendously coherent beam of mild. it really works in the phenomenon of 'stimulated emission'.
Laser light is exceptionally monochromatic.
Laser resurfacing can lessen the advent of high-quality lines inside the face. it may also treat loss of skin tone and improve your complexion. Laser resurfacing cannot cast off immoderate or sagging pores and skin.
(ii) Laser light is fairly coherent.
since the emission of all photons are in section, the laser beam is coherent.
(iii) Laser mild is relatively extreme
The depth of laser beam may be very high due to the fact all the photons within the beam are coherent.
(iv) Laser light is highly directional.
A laser beam is fantastically directional. mild from other assets can be made parallel beam by using a lens or a reflect,but the beam divergance is an awful lot more than that for laser light.
Those properties of laser mild enables it for use in surgical treatment and cut via metals.
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a 1.50 v potential difference is maintained across a 1.50 m wire that has a cross-sectional area of 0.600 mm2. how much power is dissipated in the wire if its resistivity is 5.25x10-8ωm?
17.1 W is the power dissipated in the wire.
What is Power?Power is the amount of work completed in a given amount of time, or time spent working. The joules per second (J/s)-based SI unit of power is the Watt (W).
In light of the fact that the potential difference is V = 1.5 V.
The wire is l = 1.5 meters long.
The area of the cross-section is A = 0.6m.
The wire has a 5.25 resistance.
R=ρ l/A
=5.25×10^(-8)×1.5/(0.6×10^(-6) )
=0.13125Ω
The formula to calculate power is
P=V^2/R
Substituting the values, the power will be
P = ((1.5)^2)/0.13125
P = 17.1 W
Thus, the power dissipated in the wire is 17.1 W
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three hundred milliliters of water is poured into a u-tube that has a cross-sectional area of 1 cm 2. then 120 milliliters of oil, with a density 80% that of water, is poured down one side of the u-tube so that the oil floats on the water. find the difference in height of the liquid surfaces on the two sides of the u-tube.
The difference in height of the liquid surface on two sides of the U-tube is 24 cm.
Oscillating U-tube is a method for calculating fluid densities. It has a measuring scale and a U-shaped glass tube. The principle behind this method is that when pressure is applied to one side of the tube, it causes the liquid to move.
Let h be the difference in the height of the liquid surface and H is the height of the oil. We know that the pressure at all horizontal points in a line is the same.
Therefore, pressure at point A = pressure at point B. Then, equation 1 is [tex](H+h)\rho_wg=H\rho_{\text{oil}}g[/tex]
Here, ρ(w) is the density of water, and ρ(oil) is the density of oil. Then, the density of oil is,
[tex]\begin{aligned}\rho_{\text{oil}}&=80\%\times \rho_w\\&=0.8\rho_w\end{aligned}[/tex]
Substitute the above equation in equation 1.
Then,
[tex]\begin{aligned}(H+h)\rho_{w}g&=H\times0.8\rho_{w}g\\H+h&=0.8\times H\\h&=0.8H-H\\&=-0.2H\end{aligned}[/tex]
The negative sign in the above equation indicates that the oil surface is at a higher height.
Given, the volume of oil is V(oil)=120mL=120×10⁻⁶ m³. Area is A=1 cm² = 10⁻⁴ m². Also, the volume of oil = volume of cylinder = AH
Then,
[tex]\begin{aligned}120\times10^{-6} &=AH\\H&=\mathrm{120\times10^{-2}\;m}\\&=\mathrm{1.2\;m}\\|h|&=0.2\times\mathrm{1.2\;m}\\&=\mathrm{0.24\;m}\\&=\mathrm{24\;cm}\end{aligned}[/tex]
The answer is 24 cm.
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2. [10pts]Three identical rods are welded together to form a Y-s of each rod is A, and they have length L and thermal conductivity k. The free end of rod 1 is maintained at Ti and the free ends of rods 2 and 3 are maintained at a lower temperature To. There is no heat loss from the surfaces of the rods to their surroundings. haped figure. The cross-sectional area a) [6pts] What is T, the temperature of the junction H2 H point? [4pts] What are the heat currents flowing in these three rods? b)
The temperature of the junction H2 is and the heat currents flowing in these three rods is H1 = 2KA/3L (Ti - To).
The thermal conductivity of a fabric is a degree of its capability to behavior warmth. it's miles usually denoted by k, lambda, or kappa. warmth switch occurs at a decrease rate in materials of low thermal conductivity than in materials of excessive thermal conductivity.
Calculation:-
H2 = H1/2
K A ( T initial - T final)/L
= 2KA ( T i T f)/L
T = (T1 + 2To)/3
H1 = 2KA/3L (Ti - To)
By symetry and law of comservation of energy.
H1 + H2 + H3 = O
H1 = H2 + H3
H2 = H3. (same properties)
H1/2 = H2 + H3
Rod 1
H1 = K(T i - T j)/L
Rod2
H2 = KA(T j - T o )/L
Thermal conductivity is a belongings that describes how properly warmness flows thru a substance. The better the thermal conductivity, the higher a substance conducts warmness.
The lower the thermal conductivity the higher, because the material conducts much less heat strength. Thermal conductivity is a assets of the cloth and does not consider thickness. Different thicknesses of the identical fabric nevertheless have the identical λ-fee.
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