On a perpendicular, frictionless surface, moving in shm is equal to a = 0.563 m/s2, and v = 0.225 m/s.
EE₀ = EE + KE, ½ kA² = ½ kx² + ½ mv², ω²A² = ω²x² + v², v = (1.88 rad/s) √((0.200 m)² − (0.160 m)²)= 0.225m/s.
What is the definition of an amplitude simple?In physics, amplitude refers to the greatest displacement or distance that a point on a vibrating object or wave can move relative to its equilibrium location. It is equivalent to the vibration path's half-length.
What is the purpose of amplitude?Amplitude is a platform for product analytics that enables companies to track customers using group analytics. The platform employs behavioral reports to analyze how people interact with items and offers real-time tips to speed up work.
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A tone i projected at an angle of 30degree to the horizontal from the top of a tower 100metre high. If the initial velocity i 100m/, calculate the time of flight
The time of flight of the stone when projected at the angle of 30 degrees is 5.102 s.
Since the stone is in a projectile motion, only the force of gravity acts upon the stone.
Angle of projection = θ = 30°
Height of the tower = 100 m
Initial velocity = u = 100 m/s
Acceleration due to gravity = g = 9.8 m/s²
The time of flight = T =
= T = usinθ /g
= T = 100 sin 30 / 9.8
= T = 50 / 9.8
= T = 5.102 s
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water enters the pump of a steam power plant as saturated liquid at 20 kpa at a rate of 57 kg/s and exits at 6 mpa. neglecting the changes in kinetic and potential energies and assuming the process to be reversible, determine the power input to the pump. use steam tables.
The power input to the pump is 347 KW
How to calculate power input ?Firstly we express the power input to the pump
[tex]W_{m} =m(\int\limits^2_1 {V} \, dp +del Ka+del pe)[/tex]
where, Wm is power input to pump m is mass flow rate, V is specific volume, dP is change in pressure while ΔKa and Δpe are change in kinetic and potential energy respectively.
For a reversible process, ΔKa and Δpe are negligible
[tex]W_{m} =m(\int\limits^2_1 {V} \, dp +0+0)[/tex]
[tex]=mV_{1} (P_{2} -P_{1} )[/tex]
Using the saturated water-pressure table, the volume of saturated liquid water (V) at a pressure of 20KPa is [tex]0.001017 m^{3}/ kg[/tex]
we substitute 57 kg/s for m, [tex]0.001017 m^{3}/ kg[/tex] forr V, 6,000 KPa for [tex]P_{2}[/tex] and 20KPa in
[tex]W_{m} =mV_{1} (P_{2} -P_{1} )[/tex]
[tex]W_{m} =57*0.001017*(6,000-20)\\=346.65 m^{3} /s\\=347 KW[/tex]
Therefore, the power input to the pump is 347 KW
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A horizontal wire carries a large current. A second wire carrying a current in the same direction is suspended below it. Can the current in the upper wire hold the lower wire in suspension against gravity?
Yes, the current in the upper wire can hold the lower wire in suspension against the gravity.
There is one horizontal wire that carries a large current.
There is also second wire which carries the same current in the same direction but it is suspended below it. As the upper wire has a current in it, it will create a magnetic field in a circular manner.
Now, the second wire will be in the proximity of the magnetic field created by the upper wire and the current in the lower wire and the magnetic field will be perpendicular to each other.
Now, because of the current in the wire and the magnetic field there will be a force generated in the lower wire which will be directly opposite to the weight of the lower wire which will balance out the weight of the lower wire because it is said that the wire carries a large current.
So, here we can conclude that the current in the upper wire can hold the lower wire in suspension against the gravity.
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what is the moment of inertia for rotation about an axis perpendicular to the screen that passes through the center of the square?
The sum of the moment of inertia of two perpendicular axes passing through the same point in the object's plane determines the moment of inertia about an axis perpendicular to the plane.
What is a perpendicular axis' moment of inertia?The sum of the moment of inertia of a plane lamina about two axes that are perpendicular to one another and both lie in the same plane (i.e., the z-axis) is equal to the moment of inertia of the plane lamina about the z-axis.
What is the axis of rotation's perpendicular to?The vector r is always defined to run from the axis of rotation to the location where the force F is applied. It must also be perpendicular to the axis of rotation.
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a 135 g meter stick rotates with an angular velocity of 3.50 rad/s about an axis perpendicular to the stick and passing through the middle of the stick. what is the magnitude of the angular momentum of the meter stick. a very good approximation of the moment of the meter stick is that of a long thin rod, i
The magnitude of the angular momentum of the meter stick is 0.0394 Kg - m²/sec
Solution:
Mass = m = 135 g = 0.135 kg
Length = l = 1 m
Moment of inertia I = 1 /12 * m l² = 1/12 * 0.135 * l² = 0.01125kg - m²
Angular speed = W= 3.5 rad /sec
Angular momentum = L = I W = 0.01125 * 3.5 = 0.0394 Kg - m² / sec
The magnitude of the angular momentum of a body in orbit is equal to the linear momentum multiplied by the vertical distance r from the center of rotation to a line drawn through the body's center of gravity in its instantaneous direction of motion. increase. The direction of angular momentum vector is directed along the axis of rotation given by the right-hand rule.
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star a has higher luminosity than star b, but is farther away. which has higher apparent brightness?
One can compare the brightness by noting that star an appears brighter than star b.
How bright are stars?One can compare the brightness by noting that star an appears brighter than star b. The quantity of light emitted by a star is referred to as its brightness, and we can see it from Earth.The distance between us and the star has a significant impact on the brightness of the star.A basic feature to use for determining a star's age is its brightness.In conclusion, it is possible to compare the brightness because star an appears to be brighter than star b.To learn more about brightness of the star refer
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In an amusement park ride called The Roundup, passengers stand inside a 16.0m -diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane, as shown in the figure.
Part A) Suppose the ring rotates once every 3.60 s. If a rider's mass is 55.0 kg, with how much force does the ring push on her at the top of the ride?
______N
Part B) Suppose the ring rotates once every 3.60 s. If a rider's mass is 55.0 kg, with how much force does the ring push on her at the bottom of the ride?
_____N
Part C) What is the longest rotation period of the wheel that will prevent the riders from falling off at the top?
_____seconds
At the summit, the ring pushes the rider with a force of 801N.
Centripetal force and force equilibrium are ideas needed to address the challenges.
Calculate the rider's velocity by first multiplying the period by the round-up wheel's complete circumference. The centripetal force acting on the rider may then be calculated using the velocity. The normal force may then be calculated using the force equilibrium.
The radius of a circle is, r=[tex]\frac{d}{2}[/tex]
Here,
d is the diameter of the circle
The circumference of a circle is, C= 2πr
The speed is the total distance covered in a given time. The speed is,
v=[tex]\frac{x}{t}[/tex]
here,
x is the distance covered and t is the time taken
The centripetal force acting on a body moving in a circular path is,
[tex]F_{c}[/tex]=[tex]\frac{mv^{2} }{r}[/tex]
Here,
m is the mass of the body.
The weight of a body is, W=mg
g is the acceleration due to gravity.
step: 1
Part A
The radius of the wheel is, r=[tex]\frac{d}{2}[/tex]
Here, d is the diameter of the wheel
d=16.0m
r=16/2
r=8m
The circumference of the wheel is, c=2*(3.14rad)*(8m)
c= 50.3m
The speed of rider is, v=[tex]\frac{C}{T}[/tex]
v=50.3/3.60
v= 14.0m/s
The centripetal force acting on the rider is, [tex]F_{c}[/tex]=[tex]\frac{mv^{2} }{r}[/tex]
[tex]F_{c}[/tex]=55 * 14/8
[tex]F_{c}[/tex]=1.35*10³
The weight of the rider is, W=mg
W=55*9.81
W=5.40*10²N
The force equilibrium at the top of the wheel is,
-F -W = - [tex]F_{c}[/tex]
F is the force that the ring pushes the rider.
Rewrite the equation in terms of the force that the ring pushes on the rider at the top. The force is, F= [tex]F_{c}[/tex]-W
F=(1.35*10³N)-(5.40*10²N)
F=801N
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A 44 year old electrician has been shocked. He is responsive to verbal stimuli and has garbled speech. His airway
An electrician, 44 years old, was startled. He responds to verbal cues and speaks erratically. blow 12 breaths per minute with a BVM.
What is an electrician?An electrician is a tradesperson with expertise in wiring electrical systems for stationary machines, transmission lines, and other associated machinery. Electricians may work on new electrical component installations or the upkeep and repair of current electrical infrastructure. In factories, businesses, and residences, electricians are responsible for fixing, setting up, and maintaining the electrical power, lighting, and communications systems.
What skills do electricians need and what are the working conditions of an electrician?• Setting up and maintaining electrical devices, systems, and equipment.
• Using and maintaining power and hand tools like drills, pliers, and screwdrivers.
• Fixing wire infrastructure.
• Setting up conduits, wires, and tubing for electrical use.
• Checking systems, tools, and equipment.
Depending on the electrician's specialty, different working conditions apply. Typically, an electrician's job requires them to climb ladders and lift equipment and supplies. An electrician occasionally has to operate on scaffolding or in a small area, and they frequently have to bend over, stoop down, or kneel to make connections in tight spaces. Many of the days that construction electricians work may be spent in noisy, unclean outside or semi-outdoor construction sites. Industrial plants' heat, dust, and noise may be exposed to industrial electricians. Electricians who specialize in power systems may be called upon to perform emergency repairs in all types of bad weather.
The correct question is:A 44 year old electrician has been shocked. He is responsive to verbal stimuli and has garbled speech. His airway is open ad he is breathing shallowly at a rate of 8 times per minute. his pulse is slow and irregular. Which one of the following actions should the EMT perform next?
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What is the total number of electrons in an atom of an element with an atomic number of 18 and a mass number of 40?.
The total number of electrons in an atom of an element with an atomic number of 18 and a mass number of 40 is 18.
What are the difference between atomic number and atomic mass ?
Atomic mass of an atom can be defined as the total number of neutrons and protons located in nucleus of an element while atomic number of an atom is the number of protons present in the nucleus of element.
Atomic mass can be defined as the average weight of an atom where as the atomic number is the total number of protons present in the nucleus; Atomic mass have the symbol A while atomic number have the symbol the letter Z.
Therefore, different isotopes of an atom are differentiated by atomic mass is while isotopes share the same atomic number, in neutral atom protons and electrons are equal to atomic number or proton number is 18 and electrons are also 18.
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What is our current best hypothesis as to how the whole uranian system came to have such a large inclination?.
The current best hypothesis search is based on the principle of consistency, which calls for maintaining a single hypothesis and making adjustments as new examples are discovered.
The set of hypotheses in the hypothesis space H are those that the learning algorithm is intended to entertain. According to the solar nebula theory, a massive interstellar gas cloud that condensed into the sun and planets is what gave birth to the solar system. The solar nebula theory, which contends that the planets and sun in the solar system formed from the solar nebula, is what emerged from the evolutionary hypothesis. The entire solar system, including the sun and planets, condensed from the solar nebula, a cloud of interstellar gas and dust.This theory therefore suggests the following:.
An initial rotating cloud of gas condensed and flattened out like a pancake. The sun started to form at the center of this small disk of gas and dust. However, the gas and dust are also components of the planets themselves. The planets were therefore created from these components at the same time as the sun. The planets around the sun were eventually left behind when the sun was sufficiently bright to drive away the extra dust and gas into space.To know about solar nebula theory -
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what would occur if all of the air leaked out of one hold-off chamber while a vehicle was moving down the highway?
Spring brake would apply on the affected wheel.
When the spring brakes are on you should?When the spring brakes are engaged, never depress the brake pedal. If you do, the combined stresses of the springs and the air pressure might harm the brakes. Many brake systems are built to prevent this from happening. But not every system is set up in this way, and even those that aren't always function properly.Unlike service brakes, spring brakes are not air applied. When air pressure in the brake chamber decreases, they engage and when it increases, they disengage. Service brakes and spring brakes both employ various types of brake chambers.When the air pressure falls between 20 and 45 psi, the spring brakes will activate. Because the spring brakes do not function on all axles, a vehicle that is heavily loaded will require a long stopping distance.Learn more about spring brakes refer to :
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Effective Spring Constant: In Part I you measured the keffective of the two springs acting together. If the two springs had ki and k2 individually, how would they combine to get keff? Procedure Part I: Measuring the Spring Constant In this part, we will measure the the displacement for various amounts of force, and use the slope to determine the spring constant. First, disconnect the springs so the cart can move freely, and (as always) level your air track. While you have everything disconnected, record (at the top of Part II) the mass of your glider and the mass of the two springs (combined). Then, reconnect the two springs, each from one end of the cart to the corresponding end of the track. Then, loop a string (tied to the cart) through the pulley on the other end (ensuring it doesn't Hang a 20g mass from the spring, and record the position with this mass.
Effective Spring Constant: In Part I, you calculated the combined keffective of the two springs.
How is the effective spring constant determined?F = -kx. The proportional constant k is referred to as the "spring constant".It measures the spring's rigidity.When a spring is stretched or compressed to a length that deviates by an amount x from its equilibrium length, it applies a force F = -kx in the direction of its equilibrium position.Spring Force = -(Spring Constant) x (Displacement)F = K*X F = KXThe negative symbol denotes the response force's opposing direction.Where,F: The force that the spring uses to bring everything back to balance.K: The spring constant, expressed in N.m-1.X: The spring's deviation from its equilibrium position.F * K=F x K=FN/m is its unit (Newton per metre).To learn more about the effective spring constant refer to:
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What is the wavelength of 900 Hz?.
The wavelength of 900hz is 3.3 × 10⁵m.
The wavelength of a wave, specifically the points of an electromagnetic wave, is the separation between successive crests. The relationship between wavelength and frequency is close. The wavelength gets shorter the higher the frequency.
We are given that,
Frequency = f = 900hz
Speed of light = v = 3 ×10⁸ m/s
This short equation explains how wavelength and frequency relate to one another,
λ = v/f
Where , λ is Wavelength ,v is velocity of the wave , f is frequency.
λ = (3 ×10⁸ m/s)/900hz
λ = 3.3 × 10⁵m
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how much different is the electric potential 20 cm from a charge of 5.5 c compared to 40 cm from the same charge
123.61KV difference is the electric potential 20 cm from a charge of 5.5 c compared to 40 cm from the same charge.
electric force F=[tex]\frac{KQq}{r^2}[/tex]
electric potential V=[tex]\frac{Fr}{Q}[/tex]
V=[tex]\frac{Fq}{r}[/tex]
this equation we know that [tex]V\propto \frac{1}{r}[/tex]
the point closer to the charge is higher than the point farther away.
B) for 20cm
V=[tex]\frac{kq}{r}[/tex]
V=[tex]\frac{8.99*10^9*5.5*10^{-6}}{0.2}[/tex]
V=247.25KV
for 40cm
V=[tex]\frac{8.99*10^9*5.5*10^{-6}}{0.4}[/tex]
V=123.61KV
∴ the difference is 247.25-123.61= 123.61KV
the electric capability (additionally known as the electric discipline capability, potential drop, the electrostatic capacity) is defined as the amount of work strength had to move a unit of electric fee from a reference point to the specific factor in an electric-powered field.
the electric-powered potential is the work done consistent with a unit fee to deliver the rate from infinity to a degree in an electric discipline. the capacity distinction is the distinction between the potentials between two factors within the electric-powered discipline. electric powered ability is described as a factor. In an electrical circuit, the capability between factors (E) is defined as the quantity of labor carried out (W) by using an external agent in shifting a unit fee (Q) from one point to another. Mathematically we will say that E = W/Q.electric-powered capability is a scalar, and electric-powered discipline is a vector. The addition of voltages as numbers offers the voltage due to a combination of point costs, whereas the addition of man or woman fields as vectors offers the full electric-powered subject.
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complete the equilibrium reactions which are pertinent to an aqueous solution of ag2co3. physical states are optional. dissociation of agco3 : ag {2}co {3}(s)
Equilibrium reaction solution of ag2co3 is Ag₂CO₃(s) ⇄ 2Ag⁺(aq) + CO₃²⁻(aq). When a chemical reaction is reversible, the products react with the original reactants as soon as they are created.
What is equilibrium reaction?When a chemical reaction is reversible, the products react with the original reactants as soon as they are created. There is no net change in the quantity of the chemicals involved when the two opposing reactions are in equilibrium because they are occurring at identical rates, or velocities.
Both the forward and the reverse reactions take place as a system gets closer to equilibrium. The forward and reverse reactions are moving at the same speed when the system is in equilibrium. The amount of each reactant and product remains constant until equilibrium has been reached.
Balanced chemical reaction 1: Ag₂CO₃(s) ⇄ 2Ag⁺(aq) + CO₃²⁻(aq).
Balanced chemical reaction 2: H₂CO₃(aq) + H₂O(l) ⇄ HCO₃⁻(aq) + H₃O⁺(aq).
Balanced chemical reaction 3: HCO₃⁻(aq) + H₂O(l) ⇄ CO₃²⁻(aq) + H₃O⁺(aq).
Balanced chemical reaction 4: H₂O(l) ⇄ H⁺(aq) + OH⁻(aq).
H₂CO₃ and HCO₃⁻ are acids and lose protons to water.
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a sound wave traveling in air has a pressure amplitude of 0.5 pa. what is the intensity of the wave?
The pressure amplitude of an airborne sound wave is 0.5pa. I=3.03*104W/m2 is the wave's intensity.
How do sound waves work?A sound wave is indeed the pattern of disruption brought on by the flow of energy moving through a medium as it proliferates away from the origin of the noise (such as air, water, or any other solid or liquid matter). Sound waves are pressure waves that are created when an object is in motion, including a ringing phone.
What three forms of sound waves are there?There are three types of sound waves: pressure ripples, mechanical waves, and longitudinal waves. To figure out what makes them so, keep reading.
Briefing:I=3.03*10⁻⁴W/m²
I=P/A
I=0.5²/2(1.2041)(343)
=3.026*10⁻⁴
=3.03*10⁻⁴W/m²
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a voltmeter and an ammeter are used to respectively monitor the voltage across the current through the resistor
When a current is established in a closed conducting loop , we use ammeter. Due to this resultant potential developed detected by voltmeter.
When current flows through loop , it gets conducted. Due to this Electric field is generated . This happens due to induced magnetic field.The free electrons were at rest until current is there , still ammeter detects some deflection.This deflection is due to zero current.Due to magnetic field , current in coil changes.Mathematically, [tex]\alpha =-\frac{d\beta }{dt}[/tex]The presence of conducting loop is not necessary for having electric field.[tex]e= -\frac{d\beta }{dt}[/tex]
[tex]e=-L\frac{d\beta }{dt}[/tex]
[tex]i= i0 \left \{ {{y=0.63} \atop {x=t}} \right.[/tex]
i=0.63 io
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How many gram of coffee mut evaporate from 750 g of coffee in a 120 g gla cup to cool the coffee from 95. 0°C to 48. 0°C? You may aume the coffee ha the ame thermal propertie a water and that the average heat of vaporization i 2340 kJ/kg (560 cal/g). (You may neglect the change in ma of the coffee a it cool, which will give you an anwer that i lightly larger than correct. )
65 grams of coffee must evaporate.
Here, we use the formula of heat transfer
Heat loss by the system = heat gain by the system
We need to calculate the heat loss by the coffee and glass itself individually
Heat loss by glass
Heat loss by glass = mass of glass * specific heat capacity *change in temperature
= (120/1000 Kg)* (840)* (48 - 95)
= - 4737.6 J
Heat loss by the glass is -4737.6 J
Similarly we calculate heat loss by coffee
Heat loss by coffee = mass of coffee * specific heat capacity * change in temperature
= (750/1000 Kg) * ( 4184) *( 48 - 95)
= - 147486 J
Heat loss by coffee is - 147486 J
Total heat loss = Heat loss by coffee + Heat loss by glass
= -152223.6 J
evaporation of liquid = Amount of heat loss
Mass of evaporation * Latent heat = 152223.6 J
Mass of evaporation = 152223.6 / 2340*1000
Mass of evaporation = 0.06505 Kg = 65.05 gram
Hence, 65 grams of coffee evaporates.
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consider two cases where two boxes are pulled by the same force f along frictionless races, accelerating toward the left. the masses of the boxes are indicated in each figure. will the tension in rope a on the left be a) greater than, b) less than, or c) equal to the tension in rope b on the right
The tension in case 2 is greater than case 1 that is T2 > T1
What is tension ?Any physical object that is in contact with another one can apply forces to that object. Depending on the types of objects in touch, we label these contact forces differently. We refer to the force as tension if a rope, string, chain, or cable is one of the things applying the force.
In medium lengths, tension exerts its force, especially in flexible materials like rope or cord. The force of tension is still a gravitational force. The tension will be referred to as the T = W + ma if the body is moving upward. The thickness remains constant as the body descends, T = W - ma.
Case 1 : The tension can be calculated by :
F = 3ma
a = F/3 m
Thus the equation becomes
mass X acceleration = F - T1
T1 = F - 2/3 F
T1 = F /3
Case 2: ma = 3ma - T2
T2 = 2ma = 2 X F/3m
the values are taken from the diagram
thus T2 = 2F/3
So we can conclude that T2 > T1
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the main difference between a radio wave and a light wave is its group of answer choices speed. frequency. wavelength. all of these two of these
The main difference between a radio wave and a light wave is its wavelength.
Gamma rays have extremely small wavelengths that are only a small portion of the size of atoms, whereas other wavelengths can extend as far as the universe because the relationship between wave frequency and wavelength is inverse. Although it isn't always stated explicitly, electromagnetic radiation's wavelengths are typically expressed in terms of the vacuum wavelength, regardless of the medium they are traveling through.
Electromagnetic radiation's behavior is influenced by its wavelength. wavelength x frequency equals the speed of light. Energy equals Planck's constant times frequency. Wave number in cm equals 1/wavelength. A rough estimate of the wavelength size is shown along with the wavelengths of various regions of the electromagnetic spectrum.
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how wide is the central diffraction peak on a screen 2.50 mm behind a 0.0368- mmmm -wide slit illuminated by 588- nmnm light?
The central diffraction peak is 0.039946m.
[tex]D[/tex]= Screen distance = 2.50 m
[tex]d[/tex]= Slit width = 0.0368 mm = 0.0368 x [tex]10^{-3}[/tex] m
= Wavelength of light = 588 x [tex]10^{-9}[/tex] m
ω= width of the central diffraction peak
The width of the central diffraction peak is given as
ω = [tex]\frac{D}{d}[/tex]×λ
ω= (2.50)(588 x 10⁻⁹)×[tex]\frac{1}{0.0368 * 10^{-3}}[/tex]
ω= 39945.65×[tex]10^{-6}[/tex]
ω= 0.039946m
Diffraction is defined because of the interference or bending of waves across the corners of an impediment or thru an aperture into the vicinity of the geometrical shadow of the obstacle/aperture. The diffracting object or aperture successfully will become a secondary source of the propagating wave.
the diffraction phenomenon is defined by means of the Huygens–Fresnel principle that treats each factor in a propagating wavefront as a group of character spherical wavelets. The function bending sample is most reported while a wave from a coherent supply (inclusive of a laser) encounters a slit/aperture that is comparable in size to its wavelength, as shown in the inserted image.
This is because of the addition, or interference, of different factors at the wavefront (or, equivalently, each wavelet) that journey by way of paths of different lengths to the registering surface.
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a car moving at 12 m/s crashes into a tree and stops in 0.24 s. calculate the magnitude of the average force in newtons which the seat belt exerts on a passenger in the car to bring him to a halt. the mass of the passenger is 60 kg.
The force which the seat belt exerts on a passenger is - 3000 N. Here minus sign indicates force was against the motion.
Given ; The velocity is v = 12 m/s
and the time = 0.24 sec
Since he crashes in the end , thus the final velocity = 0 m/s
Weight = 60 kg
To calculate : The average force
We will use the formula :
ΔP = FΔT
p = mv
that is initial momentum = final momentum
F = [tex]\frac{m(final velcoity - initial velocity)}{time}[/tex]
F = 60(0 - 12 ) / 0.24
On further solving we get
F = - 720 / 0.24
F = - 3000N
Thus the force which the seat belt exerts on a passenger is - 3000 N
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What are the 5 main functions of the circulatory system?.
The five main functions of the circulatory system are to carry oxygen and nutrients to cells, remove waste from cells, regulate body temperature, fight infections, Protection against infection and disease and Maintenance of blood pressure and volume.
The first function of the circulatory system is to transport oxygen and nutrients to cells. The second function of the circulatory system is to remove waste from cells. Blood carries away waste products such as carbon dioxide, lactic acid, and urea. The third function of the circulatory system is to regulate body temperature. Blood vessels act as a medium to transport heat. The fourth function circulatory system plays an important role in protecting the body from infection and disease. The circulatory system is an integral part of the human body that is responsible for transporting nutrients, oxygen, and hormones.
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An 8. 0-newton wooden block slides across a horizontal wooden floor at constant velocity. What is the magnitude of the force of kinetic friction between the block and the floor?.
The magnitude of the force of kinetic friction between the block and the floor is 2.4N.
Explain magnitude of kinetic friction.Kinetic friction is a force that exists between moving surfaces. A moving body on the surface is subjected to a force in the opposite direction of its movement. When two things rub against each other, the frictional force is turned into thermal energy, which in some situations causes fire. Kinetic friction is responsible for machine part wear and tear, so it is critical to lubricate the machine parts with oil.
F(x) = -kx, and k = 325 N/m for the spring.
0.250 kinetic coefficient of friction
From x = 0 to x = 0.70 metres, the spring compresses.
W net = 0 to 0.70 meter integral [- F spring - F friction] = 1/2 * (-k) * x2 - mu * mg * normal force x = 1/2 * (-325N/m) * (.70)2 - 0.250 * 6kg * 9.81m/s2 * 0.70 - 0
= - 89.93 Joules
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what is the x -component of the electron's velocity, vx , if the minimum percent uncertainty in a simultaneous measurement of vx is 1.0%?
Given the uncertainty in the measurement of position, the velocity of the electron is 57.7 m/s.
Using the relation;
ΔxΔpx≥ℏ
where Δx is the uncertainty in the x coordinate of a particle, Δpx is the particle's uncertainty in the x component of momentum
and ℏ=h/2π
Recall that h = 6.6 × 10^-34 Js
Also, Δpx = Δmv
where, m = mass, v = velocity
Hence;
Δx Δmv = h/2π
Recall that m = mass of the electron = 9.11 × 10^-31 Kg
Δx = 0.200 mm or 2 × 10^-4 m
Δv = h/2πΔx Δm
Δv =
Δv = 0.577
Therefore, the uncertainty in the measurement is 1.00 %, v = 57.7 m/s
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Describe and contrast stellar orbits in the disk, halo, and bulge of our galaxy.
The stellar orbits in the disk orbit of our galaxy are organized into circles, while stellar orbits in the halo and bulge have a minor level of spatial organization.
What are the stellar orbits of the Milky Way Galaxy?The stellar orbits of the Milky Way Galaxy refer to the movement of the stars inside the Galaxy, which mainly depends on the relative spatial position of the stars in the galaxy
The stellar orbits of our Milky Way Galaxy have different shapes in regard to their relative position which includes circular and also elliptical shapes.
Therefore, with this data, we can see that the stellar orbits of our Milky Way Galaxy depend on the position of the star in the galaxy, for example being circular in the disk region of the galaxy and having elliptical and or less organized formations in other positions.
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which of the following best describes why the engineer chose to calculate the permeability of the soil sample in the experimental design in order to evaluate a natural containment system to protect groundwater?
The correct option is : The sample of material chosen as the potential container material is the variable being tested, so it is the independent variable.
How to calculate the permeability of soil sample?The height and cross-sectional area of the soil sample, the pressure measurements, the volume of the permeated water during the designated time interval, and the coefficient of permeability can all be used to calculate this.
Repeat the test three or more times, and then find the average coefficient to ensure accurate results.
In the laboratory, the constant head permeability test is used to assess the permeability of coarse-grained soils with high permeability.
The test's basic idea is to gauge the amount of water that percolates through a sample of soil in a specific amount of time, then apply Darcy's law to the discharge to determine the permeability.
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4 A uniform rod of length 60 cm has a weight of 14 N. It is pivoted at one end and held
in a horizontal position by a thread tied to its other end, as shown in Fig. 4.17.
The thread makes an angle of 50° with the horizontal. Calculate:
a the moment of the weight of the rod about the pivot,
b the tension I in the thread required to hold the rod horizontally.
pivot
A Figure 4.17
60 cm
50°
AT
The moment of the weight of the rod about the pivot = 4.2 Nm
The tension in the thread required to hold the rod horizontally = 8.96 N
What is tension?Tension is described as the pulling force transmitted axially by a cord, rope, chain, or similar object, or through the ends of a rod, truss member, or similar three-dimensional object. It can also be described as pairs of acting and reaction forces acting at each end of the element.
Moment of weight = weight × the perpendicular distance from the axis of rotation to the line of action
M = w × r
w = 14N
r = 30 cm or 0.3 m
M = 14 × 0.3
M = 4.2 Nm
Tension = Applied force × cosθ
T = mg × cosθ
mg = 14N
θ = 50°
T = 14 × 0.64
T = 8.96 N
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what is the magnitude of the average emf induced in the coil? express your answer numerically, in volts, to at least three significant figures.
The magnitude of the average emf induced N= 220 in the coil is 4.10347 X 10⁻⁴ v.
Assume ,
N = 220
Area = 13 . 2 cm²
t = 4. 60 x 10⁻² sec
B = 6. 50 X 10⁻⁵ T
( a )
∅initial = NBA cosθ
=220 X 6 . 50 x 10⁻⁵ x 13 . 2 x 10⁻⁴x cosθ
1.8876X 10⁻⁵ T.m²
∅After= NBAcosθ
=220 X 6.50 x 10⁻⁵ x 13.2x 10⁻⁴x cob 90
( b )
∈=|-Δ∅B/Δt|
=1.8876 * 10⁻⁵/4. 60 x 10⁻²
=4.10347 X 10⁻⁴ v
An attribute of a mathematical object that determines whether it is bigger or smaller than other objects of the same kind is its magnitude or size. Formally speaking, an object's magnitude is the visible outcome of the class of objects it belongs to's ordered results.
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the moon orbits the earth once every 27.3 days at a mean distance of 3.84*10^8. use the information to calculate the period of revolution that the international space station takes to complete one orbit around the earth if it is 350 km above the surface
The time period of revolution that the international space station takes in the satellite is 19.78 hrs.
Time period = T
Radius = r
We know that T² ∝ r³,
Time period of moon = Tₐ
Radius of moon = rₙ
= Tₐ² ∝ rₙ³
Similarly for satellite,
Time period of satellite = Tₓ
Radius of satellite = rₐ
= Tₓ² ∝ rₐ³
Thus,
= Tₐ² / Tₓ² = rₙ³ / rₐ³
= Tₓ² = ( rₐ³ X Tₐ² ) / rₙ³
= Tₓ² = (350 X 10³ / 3.84 X 10⁸ )³ X 27.3 ²
= Tₓ² = 0.6793 day²
Thus, Tₐ = 0.824 day²
We know that 1 day = 24 hrs
Thus, Tₓ = 19.78 hrs
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