A specific example of a practical application of waves in medicine is the capturing of body structures to detect abnormalities in them.
Abnormality is the giant deviation from normally usual patterns of conduct, emotion, or notion, same time as normality is the absence of illness and the presence of a country of nicely being otherwise referred to as normalcy. It may be hard to attract the line between regular and strange behaviors, specifically in management.
Abnormality consists of 3 extraordinary classes; they're subnormal, supernormal, and paranormal. The technology of unusual psychology studies two types of behaviors: adaptive and maladaptive behaviors.
Apart from genes, similarly, organic elements that contribute effectively to the abnormality of 1's behavior are neurotransmitters and hormones. Imbalance in neurotransmitters like GABA, norepinephrine, and many others., causes unusual neural plasticity or mental dysfunction.
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a commuter train passes a passenger platform at a constant speed of 42.8 m/s. the train horn is sounded at its characteristic frequency of 342 hz. (a) what overall change in frequency is detected by a person on the platform as the train moves from approaching to receding? (indicate whether the frequency increases of decreases with the sign of your answer.)
A commuter train passes a passenger platform at a constant speed of 42.8 m/s. the train horn is sounded at its characteristic frequency of 342 Hz: The train's speed is st=43.5m/sst=43.5m/s.
Frequency, in physics, is the number of waves that skip a hard and fast factor in unit time; also, the number of cycles or vibrations passed through in the course of one unit of time by way of a frame in periodic movement. The frequency of a particular statistic is the number of instances the facts price occurs. We constitute the frequency of a facts fee with the aid of f. as an instance if five students were given an A in technology, after which grade A is said to have a frequency of 5.
Frequency is the range of occurrences of a repeating occasion per unit of time. it's also once in a while called temporal frequency to emphasize the assessment of spatial frequency, and normal frequency to emphasize the difference from angular frequency.
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what have the water-related discoveries (made by spacecraft at mars) implied about its atmosphere in the distant past?
The atmosphere may have been thicker and had a stronger greenhouse effect, to allow liquid water to exist on the surface.
Explain in detail.
Water ice on Mars is most likely found in global planar terrain. This type of terrain is relatively flat and is mapped out by the Martian terrain. Nearly all of the water on Mars today is in the form of ice, although there are small amounts of water vapor present in the atmosphere.The moon and Mars both have ice that could theoretically be turned into drinking water.To know more about Mars here
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a 0.40 kg mass is attached to a 0.5 m string and displaced an angle of 12 degrees before it is released. 1. what is the initial potential energy of the pendulum? 2. what is the angular frequency of the pendulum? 3. what is the velocity of the pendulum at the lowest point in its swing? 4. what is the height of its displacement?
A pendulum is a weight released from a starting point so that it can swing freely. When a pendulum is displaced sideways it restores a force due to gravity that will accelerate it back toward the equilibrium position from the resting position.
How to find initial potential energy, angular frequency, velocity and height of displacement of a pendulum?
We know, m= 0.40kg
L=0.5m
Angle = 12°
i) Main answer is : initial potential energy = PE = mgh (1-cos∅)
= 0.9×9.81×0.5×(1-cos12°)
= 0.0429 J
ii)Main answer is: Angular frequency= W= √g/l
=4.43 rad/s
= 0.7 rev/s
iii) Main answer is : velocity of pendulum = V=√2gl(1-cos∅)
=0.46m/s
iv) Main answer is : height of displacement= h=L (1-cos∅)
=0.01m
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The pendulum's angular frequency is 4.42 rad/s, and its potential energy is 0.04 J. the pendulum's lowest in its swings has a speed of 0.44 m/s, a motion time of 0.010905 m, and a lateral distance of 0.1039 m.
What is potential energy, exactly?Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is squeezed or strained, its energy increases. If a steel ball is lifted above the ground as contrasted to falling to the ground, it has higher potential energy.
Briefing:Given data:
The associated mass is m=0.40kg.
The string measures L=0.5m in length.
Angle misplaced is equal to 12°.
(1). Calculate the potential energy of pendulum:
PE=mg[L−Lcosθ]
PE=0.40kg×9.8m/s[0.5m−0.5m×cos12°]
PE=0.04J
Consequently, the pendulum's potential energy is 0.04 J.
(2). Determine the pendulum's angular frequency:
[tex]\omega=\sqrt{\frac{g}{L}}[/tex]
Changing every variable in the aforementioned equation:
[tex]\omega=\sqrt{\frac{9.8 \mathrm{~m} / \mathrm{s}^2}{0.5 \mathrm{~m}}}[/tex]
ω = 4.42 rad/s
Consequently, the pendulum's angular frequency is 4.42 rad/s.
(4). Do the vertical displacement calculation:
[tex]x_V=L-L \cos \theta[/tex]
[tex]\begin{aligned}& x_V=0.5 \mathrm{~m}-0.6 \mathrm{~m} \cos 12^{\circ} \\& x_V=0.010905 \mathrm{~m}\end{aligned}[/tex]
Do the horizontal displacement calculation:
[tex]\begin{aligned}& x_H=L \sin \theta \\& x_H=L \sin 12^{\circ} \\& x_H=0.1039 \mathrm{~m}\end{aligned}[/tex]
The height of the horizontal displacement is therefore 0.1039 m, while the height of the deformation is 0.010905 m.
(3).Calculate the pendulum's rock bottom in its swing by using energy balance to determine its velocity.
KE = PE
[tex]\frac{1}{2} 0.40 \mathrm{~kg} \times v^2=0.04 \mathrm{~J}[/tex]
v = 0.44 m/s
Calculate the pendulum's velocity at its rock bottom in its swing, which is 0.44 m/s.
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what is the mass of a large ship that has a momentum of 1.54 ×109kg·m/s, when the ship is moving at a speed of 48.7 km/h?
The large ship's mass with a momentum of 1.54 * [tex]10^{9}[/tex] kg m/s is [tex]3.16 * 10^{7}[/tex] kg
Given Parameters:
Speed of ship = 48.7 km/hr
The momentum of the ship = 1.54 * [tex]10^{9}[/tex] kg m/s
Momentum is characterized as the intensity of a body's motion.
Momentum is measured by "mass velocity" because it depends on both the speed and the direction of the body's motion. Mass is a scalar quantity, but velocity is a vector, hence momentum is a vector quantity. Mass in motion is quantified by momentum, which is the measure of how much mass is moving. Typically, it is denoted by the letter p.
Momentum (p) = Mass (m) * Speed (v)
p = mv
We need to calculate the mass of the ship,
m = p/v
[tex]m =\frac{1.54 * 10^{9} }{48.7} =0.0316*10^{9} = 3.16 * 10^{7}[/tex]
Thus, the mass of the ship is [tex]3.16 * 10^{7}[/tex] kg
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Nuclear decay occurs according to first-order kinetics. What is the half-life of polonium-218 if a sample decays from 55. 4 g to 31. 7 g in 2. 50 minutes?.
3.10 minutes is the half-life of polonium-218 if a sample decays from 55. 4 g to 31. 7 g in 2. 50 minutes.
What is the half-life of polonium-218 if a sample decays from 55. 4 g to 31. 7 g in 2. 50 minutes?For first order kinetics, t = 2.303/λ log[N₀]/[Nt]
Also, t₁₁₂ = 0.693/λ
λ = 0.693/t₁₁₂
From above equation:
t = 2.303 ÷ 0.693/t₁₁₂log[N₀]/[Nt]
t₁₁₂ = 0.693 × t/2.303 × log[N₀]/[Nt]
t₁₁₂ = 0.693 × 2.50/2.303 × log[55.9]/[31.7]
t₁₁₂ = 1.73/0.557
t₁₁₂ = 3.10
Therefore, 3.10 is the correct answer.
Which equation yields a first order process's proper integrated rate law?ln[A] t = -kt + ln[A] 0 is the integrated rate rule for the first-order reaction A's products. A straight line is produced when the natural log of [A] is plotted as a function of time because this equation has the form y = mx + b.
What is nuclear decay?The collection of diverse processes known as radioactive decay are how an unstable atomic nucleus spontaneously emits subatomic particles. According to theory, a daughter nucleus is created when the parent nucleus decays.
What is meant by first - order kinetics?When a fixed percentage of the drug is excreted per unit of time, this is known as first order kinetics. The amount of drug in the body has a direct relationship to the rate of removal. The amount of medication eliminated per unit time increases with concentration. The medication concentration decreases by 50% for each half life.
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A scuba diver fills her lungs to capacity (6.0 L) when 10.0 m below the surface of the water and begins to ascend to the surface. Assume the density of the water in which she is swimming is 1000 kg/{eq}m^3 {/eq} and use g = 10 m/{eq}s^2 {/eq}A. Assuming the temperature of the air in her lungs is constant, to what volume must her lungs expand when she reaches the surface of the water?B. What effect would the warming of the air in her lungs have on the volume needed when she surfaces?C. Assuming the temperature of the air in her lungs is constant, what effect does her ascent have on the vrms of the air molecules in her lungs?
The lungs of the scuba diver should expand to a volume of 12L, the volume of the air will increase in her lungs with increase in temperature on the surface and the rms speed of the velocity of air will not change in her lungs.
The density of the water is given to be 1000 kg/m³. The capacity of the lungs of the diver is 6L and she goes down will 10m in the water. We can assume the temperature of the water to be constant.
A. The pressure P₁ at the surface of water is 100000 Pa.
So, the pressure at the depth of 10m in water will be given by,
P₂ = 1000x10x10 + P₁
P₂ = 100000 + P₁
P₂ = 200000 Pa
Now, we can write,
P₁V₁ = P₂V₂
Putting values,
6 x 200000 = V₂ x 100000
V₂ = 12L.
So, her lungs should expand to 12L.
B. On the surface, the pressure will be constant, so, the warming of air will further increase the volume of air in the lungs.
C. The Vrms is given by,
Vrms = √(3RT/M)
So, if the temperature is constant, the Vrms will not change because the mass of the air will also be the same.
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a conical paper cup is 20 cm tall witha radius of 10 cm the cup is being filled with water aat a rate of
The rate at which water is poured into the cup of radius 10 cm when the water level is 8 cm is 100.48 cm^3/sec.
Since we know the volume of a cone is: V=πr²h/3, where h is the height and r is the radius of the base of the cone .Here the slope of h and r is: h/r= 20/10 =2 ,Now we can convert the formula for the volume of the cone with just one variable :
V=π(h/2)²h/3
=πh³/12
Now differentiation of both sides with respect to time t, we get
V'=3πh²h'/12, where h' is the rate of change of height
=πh²h'/4
now substituting the know values in the above formula , we get
V= 3.14*(8)²*2/4 = 32 *3.14 = 100.48 cm³/sec .
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A conical paper cup is 20 cm tall with a radius of 10 cm. The cup is filled with water so that the water level rises at a rate of 2 cm/sec. At what rate is water being poured into the cup when the water level is 8 cm?
Complete the energy maximum electron capacity for each energy level. Energy level 1 maximum electron capacity is. Energy level 2 maximum electron capacity is. Energy level 3 maximum electron capacity is. Energy level 4 maximum electron capacity is.
Energy level 1 maximum electron capacity: 2, Energy level 2 maximum electron capacity: 8, Energy level 3 maximum electron capacity: 18 and Energy level 4 maximum electron capacity: 32.
What is Energy?
Energy, which is observable in the work performed as well as in the form of heat and light, is indeed the quantitative property that's also transferred to a body or a physical system in physics. Energy is a conserved resource; according to the principle of conservation of energy, energy can only be transformed from one form to another and cannot be created or destroyed. The joule is the SI's (International System of Units) measurement unit for energy (J). The kinetic energy of the a moving object, this same potential energy held by an object (for example, due to it's own position in a field), this same elastic energy held in a solid object, chemical energy linked to chemical reactions, and radiant energy conducted by electromagnetic radiation are examples of common forms of energy.
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spray sunscreens generally have a longer shelf-life than cream sunscreen formulations. why might this be?
This is because spray sunscreens contain fewer ingredients and preservatives than cream sunscreens.
What is sunscreen?
Sunscreen, also referred to as sunblock as well as sun cream, is a topical photoprotective product for the skin that primarily absorbs or, to a much lesser extent, reflects some ultraviolet (UV) radiation from the sun. This helps prevent sunburn and, more importantly, skin cancer. Lotions, sprays, hydrocolloids, foams, sticks, powders, as well as other topical products are all forms of sunscreen. Sunscreens are common additions to clothing, especially sunglasses, sunhats, and other types of photoprotective clothing (such as umbrellas). H.A. Milton Blake, an Australian chemist, created the first sunscreen in 1932 using a 10% concentration of the UV filter salol (phenyl salicylate).
Since they do not contain as many active ingredients, they are less likely to expire quickly. Additionally, because the sunscreen is in a spray form, it is less likely to be contaminated with bacteria or dirt, which can cause it to expire more quickly.
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a capacitor has a capacitance of 1.1 pf. what potential difference would be required to store 13 pc? answer in units of v.
The potential difference required to store 13pc charge is 11.72Volt if a capacitor capacitance value is 1.1pf.
Capacitance is a capability just of the math of the plan of the capacitor, e.g., the restricting surface region of the plates and the distance among them, and the permittivity of the dielectric material between the plates. For the vast majority dielectric materials, the permittivity and in this manner the capacitance, is autonomous of the likely distinction between the conduits and the absolute charge on them.
The SI unit of capacitance is the farad (image: F), named after the English physicist Michael Faraday. A 1 farad capacitor, when accused of 1 coulomb of electrical charge, has a possible distinction of 1 volt between its plates. The proportional of capacitance is called elastance.
We know that charge enclosed around capacitors=product of capacitance of capacitor and potential difference around the plates of capacitors, or
=>q=CV
We have C as 1.1pf and q as 13pc
Therefore,13=1.1×V
=>V=13/1.1
=>V=11.72Volt
Hence, value of potential difference is 11.72 Volt.
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Which two options are reasons that electromagnetic waves are effective for use in communication devices?.
The two options are reasons that electromagnetic waves are effective for use in communication devices:
1. Electromagnetic waves can travel long distances with minimal energy loss.
2. Electromagnetic waves can easily be modulated to carry information.
What is electromagnetic wave?
In terms of physics, electromagnetic radiation (EMR) is made up of electromagnetic (EM) field waves that travel through space while carrying radiant electromagnetic energy. It consists of X-rays, gamma rays, microwaves, infrared, visible light, ultraviolet, and radio waves. These waves are all a component of a electromagnetic spectrum. Electromagnetic waves, that are synchronised oscillations of the electric and magnetic fields, are the traditional form of electromagnetic radiation. Due to the periodic alteration of the electric or magnetic field, electromagnetic radiation or waves are produced. Different wavelengths of the electromagnetic spectrum are produced depending on the manner in which this periodic change takes place and the power generated. Electromagnetic waves move at the speed of light, commonly abbreviated as c, in a vacuum.
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Answer:
Explanation:
Which two options are reasons that electromagnetic waves are effective for use in communication devices?.
a racing car travels with a constant tangential speed of 75.0 m/s around a circular track of radius 625 m. find (a) the magnitude of the car's total acceleration and (b) the direction of its total acceleration relative to the radial direction.
The racing car travels with a constant tangential speed of 75.0 m/s around a circular track of radius 625 m are:
Constant Velocity , u = 75 m/s
Radius , r = 625 m
a) Total Acceleration = v^2/r
Total Acceleration = 75^2/(625)
Total Acceleration Acceleration = 9 m/s^2
The magnitude of the total acceleration is 9 m/s^2
b) Since the velocity is constant
The tangential acceleration is zero
The total acceleration is therefore the radial acceleration.
the direction of total acceleration relative to radial direction is zero
Acceleration is the name we give to the process of changing velocity. Velocity is speed and direction, so there are only two ways to accelerate. Either change speed, change direction, or change both
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how many times a minute does a boat bob up and down on ocean waves that have a wavelength of 29.6 m and a propagation speed of 7.08 m/s
n = 7.5 times/minute does a boat bob up and down on ocean waves that have a wavelength of 29.6 m and a propagation speed of 7.08 m/s.
How do you find time with wavelength and speed?The wave moves one wavelength in one period. Speed is calculated using the formula v = / T. Wave speed, frequency, and wavelength are related by the equation v = f because the frequency, f, is 1/T.As a result, the equation becomes v = f * or = v / f when solving for. Wave speed is measured in terms of distance travelled in a unit of time, such as metres per second or m/s. Frequency is measured in Hz. Wavelength is a distance parameter, often measured in metres (m).The wave's velocity and wavelength first, it is simple to calculate the frequency using the formulas f = v. Using T = 2 = 1 f, we can calculate the time period after calculating the frequency.Given data :
Wavelength of the ocean wave, λ = 29.6 mThe speed of the ocean wave, v = 7.08 m/sThe relation between the speed of wave, wavelength and frequency is given by :
v = f x λ
f = v / λ = 7.08 / 29.6 = 0.239 Hz
The number of times per minute the bob moves up and down is given by :
n = f x t = 0.239 x 60 = 14.35 times / minute.
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a car is traveling with a speed of 20.0 m/s along a straight horizontal road. the wheels have a radius of 0.300 m. if the car speeds up with a linear acceleration of 1.50 m/s2 for 8.00 s, find the angular displacement of each wheel during this period.
The angular displacement of each wheel during this period will be 209 rad
Explain angular displacement
A body's angular displacement is the angle (measured in radians, degrees, or revolutions) by which a point rotates around a specific axis or center in a particular way. Because a body rotating about its axis experiences variable velocities and accelerations at all times, the motion cannot simply be considered as a particle motion (t).
We must first assume that the car's wheels are not slipping in relation to the pavement. If so, we can infer that the angular velocity and acceleration are given by
w = v/r = (20m/s)/(.300 m) = 6 rad/s
a = a/r = (1.5 m/s2)/(.300 m) = 5 rad/s2
Using this data, we can calculate the angular displacement by:
angular displacement = (6 rad/s)(8.00 s) + .5(5 rad/s2)(8.00 s)2
= 48 rad + 160 rad = 209 rad
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Which factor is most important to keep the same when looking at the meniscus to compare the surface tension of different liquids?.
Temperature and impurities are most important factors to keep the same when looking at the meniscus to compare the surface tension of different liquids.
Define surface tension.
Surface tension is a characteristic of liquids brought on by an imbalance in molecular forces at their surfaces. The surface tension is also impacted by factors that influence the molecular forces. The liquid's nature, the environment it is in, and its purity all affect how much surface tension there is.
Impurities:
Impurities that are soluble: The surface tension may rise or fall if the contaminants are soluble. If the contaminants are less soluble, the surface tension of the liquid will be reduced. For instance, camphor lowers the surface tension of water because it is less soluble in water. On the other hand, when the contaminants are more soluble, the liquid's surface tension will rise.
Insoluble impurities :Dirt, grease, and other insoluble contaminants will reduce a liquid's surface tension.
Temperature:
As the temperature rises, the molecular attraction between liquid molecules weakens. As a result, liquid surface tension falls as liquid temperature rises.
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a car traveling at 41 ft/sec decelerates at a constant 2 feet per second per second. how many feet does the car travel before coming to a complete stop?
The distance that the car will travel before coming to a complete stop is 82ft.
How to calculate distance?Distance is the amount of space between two points, usually geographical points, usually (but not necessarily) measured along a straight line.
The distance of a moving object can be calculated using the following formula:
Speed = distance ÷ time
According to this question, a car traveling at 41 ft/sec decelerates at a constant 2 feet per second. The distance can be calculated as follows:
41ft/sec = D/2
Distance = 82feet
Therefore, 82ft is the distance of the car travelling.
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g which of the following objects has the greatest amount of momentum? assume all the objects are moving along the positive horizontal axis. group of answer choices a 1 kg block with a 5 m/s velocity a 5 kg block with a 1 m/s velocity a 10 kg block with a 2 m/s velocity a 2 kg block with a 5 m/s velocity a 3 kg block with a 1 m/s velocity
Option C. momentum ia 20 kg m/s has the greatest amount of momentum.
Momentum is the product of the mass and pace of an item. it is a vector amount, owning a value and a route. If m is an item's mass and v is its pace, then the object's momentum p.
Momentum in a easy way is a amount of movement. here quantity is measurable due to the fact if an object is transferring and has mass, then it has momentum. If an item does now not move then it has no momentum.
Calculation:-
momentum = mass × velocity
1. momentum = 1 × 5 m/s
= 5 kg m/s
2. momentum = 5 × 1 m/s
= 5 kg m/s
3. momentum = 10 × 2 m/s
= 20 kg m/s
4. momentum = 2 × 5 m/s
= 10 kg m/s
5. momentum = 3 × 1 m/s
= 3 kg m/s
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about how long does one day last at the north pole on uranus? one day is defined as the time from sunrise to sunset.
On the north pole, one day for about 17 hours on uranus.
Its call is a reference to the Greek god of the sky, Uranus, who, in step with Greek mythology, was the extremely good grandfather of Ares, grandfather of Zeus, and father of Cronus.
Uranus is the only planet whose equator is sort of at a proper attitude to its orbit, with a tilt of 97.77 degrees – likely the end result of a collision with an Earth-sized item lengthy in the past.
The blue-inexperienced color effects from the absorption of crimson light by way of methane gas in Uranus' deep, cold, and remarkably clean surroundings.
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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?
1/9 of the total mechanical energy is the system's potential energy x=1/3.A .
Exactly how is energy defined?Energy is the capacity to perform labor, according to scientists. Due to the sheer capacity to convert energy from one medium to some other and use it to achieve things, human civilisation is attainable.
Which energy kinds are there?Chemical, electrical, radiant, mechanical, thermal, nuclear, and other six main types of energy exist. Additional kinds, such as electrochemical, acoustic, electromagnetic, and others, may be discussed in other studies.
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a proton has a mass of 1.67×10−27 kg . if the spring were to break, the α particle would disintegrate and the protons would fly off in opposite directions. what would be their ultimate speed?
The ultimate speed is 0.333× 10⁸ ms‐¹.
The proton mass is 1.67×10−27 kg. If the spring were to break, the alpha particles would collapse and the protons would fly in the opposite direction.
Calculation:-
Deuterons:= 0.333×108ms−1
m2=3.34×1027kgu2=0
Let v be the velocity of the combination
Then from momentum conservation
m1u1+ m2u2= (m1+m2)v
1.67×1027×108+3.34×1027
= ( 1.67+3.34)×10−27×v
binding velocity
v=1.67×10−27×1085.01×10−27
= 0.333×108ms−1
A proton is a stable subatomic particle with a positive charge of +1 e elementary charge, symbol p, H+, or 1H+. Its mass is slightly less than that of a neutron, 1836 times that of an electron (proton-to-electron mass ratio). Protons and neutrons, each with about one atomic mass unit, are collectively called "nucleons" (particles present in the nucleus)
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A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the spring a distance of 0.20 m (the figure (Figure 1)). When released, the block moves on a horizontal tabletop for 1.00 m before coming to rest. The spring constant k is 100 N/m. What is the coefficient of kinetic friction mu _k between the block and the tabletop? Express your answer using two significant figures. mu _k = __________
The answer is 0.408.
According to the principle of conservation of energy when a friction force acts within an isolated system, we have
ΔE = ΔU + ΔK = -[tex]f_{Friction}[/tex]d
= k[tex]x^{2}_{0}[/tex]/2 = [tex]f_{Friction}[/tex]d--------------------(1)
[tex]f_{Friction}[/tex] = [tex]u_{k}[/tex]N = [tex]u_{k}[/tex] = [tex]u_{k}[/tex]mg---------------------(2)
inserting eq. (2) into (1),
[tex]u_{k}[/tex]= k[tex]x^{2}_{0}[/tex]/2mgd
inserting data given,
[tex]u_{k}[/tex]= 0.408163265 ≈ 0.408
Therefore, the answer is: 0.408
What is coefficient of kinetic friction ?
A sophisticated method for determining the dynamic coefficient of friction. The sliding friction coefficient μk is the ratio of the friction force to the normal force experienced by an object moving on a dry, uneven surface.
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The block and the tabletop have a 0.41 coefficient of kinetic friction, according to the supplied statement.
What exactly are static and kinetic friction?The box can't move on its own because of static friction; this friction must be overcome by an opposing army that is large enough for the box to move. When surfaces are moving, a force called kinetic friction, also known as dynamic friction, fights the movement of the surfaces.
Briefing:The parameters supplied:
Block's mass, m, is equal to 0.50 kg.
Spring extension, when x=0.2 m
100 N/m is the spring constant, K.
By using the law of conservation of energy, we can calculate the kinetic friction coefficient that exists between block and the tabletop, as illustrated below.
[tex]\begin{aligned}& \mathrm{Fd}=U_x \\& \mu \mathrm{mgd}=1 / 2 \mathrm{kx}{ }^2\end{aligned}[/tex]
where;
μ is the coefficient of kinetic friction.
The block's and the tabletop's kinetic friction coefficient is:
[tex]\begin{aligned}& \mu_k=\frac{k x^2}{m g d} \\& \mu_k=\frac{100 \times 0.2^2}{2 \times 0.5 \times 9.8 \times 1} \\& \mu_k=0.41\end{aligned}[/tex]
Therefore, the block's and the tabletop's value of kinetic friction is 0.41.
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A 500 kg empty elevator moves with a downwards acceleration of 2 m/s2. What is the tension force of the cable on the elevator?
The tension force of the cable on the elevator is 4000N.
From the question,
Mass of an elevator(m) = 500kg
It is accelerating downhill at a rate of [tex]2\frac{m}{s^{2} }[/tex]. It is necessary to determine the tension force of the cable on the elevator. We know that the net force on the elevator when it is traveling downhill is provided by:
F = m(g - a)
Here, g is the acceleration due to gravity
g = [tex]9.8\frac{m}{s^{2} }[/tex]
g ≅ 10[tex]\frac{m}{s^{2} }[/tex]
F = 500 × (10 - 2)
F = 500 × 8
F = 4000N
Therefore, the tension force of the cable on the elevator is 4000N.
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A luge and its rider, with a total mass of 85 kg, emerge from a downhill track on to a horizontal straight track with an initial speed of 37 m/s. If a force slows them to a stop at a constant rate of 2.0 m/s 2
, (a) what magnitude F is required for the force, (b) what distanced do they travel while slowing, and (c) what work W is done on them by the force? What are (d) F, (e) d, and (f) W if they, instead,slow at 4.0 m/s 2
?
Force required is: -170N for the distance of 342.25m.
a) F=ma
F= - 85×2.0 = - 170
b) using energy
5×85×37²=170×d
d = 342.25 m
c) The work done would be given by
W= F×d
W =(−1.7×10²N)×(3.4×10²)
W=−5.8×[tex]10^{4}[/tex]J
d) The net force on the mass would be
F = ma
F = -340 NF
-ve sign indicates that the force acts opposite to the direction of motion.
e) Using the kinematic equation
v²= u² + 2ad
d= 1.7 × 10² m
f) The work done would be given by
W= F×d
W= -5.8 × [tex]10^{4}[/tex]
-ve sign indicates that the energy of the rider decreases by the force
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stephanie pulls on a rope that is attached to a large crate. she is pulling the crate along at a constant speed as it slides across rough carpet. how does the magnitude of the force of tension exerted on stephanie compare to the magnitude of the force of tension exerted on the crate?
The force of tension exerted on the crate has the same magnitude as the force of tension exerted on Stephanie.
What is force ?
a force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity, i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity.
The rope pulls with equal magnitude force but in opposite directions to the hand and to the mass (neglecting the weight of the rope). This is an example of Newton's third law. The rope is the medium that transmits forces of equal magnitude between the two objects but that act in opposite directions.
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which of the following statement(s) is/are correct? i) stars like the sun generate energy through nuclear fusion.ii) the most stable nucleus in terms of binding energy per nucleon is 56fe.iii) the core of nuclear fission reactors consists of uranium enriched in 235u surrounded by a moderator which slows down the neutrons from the 235u.
The statements which are correct include the following:
i) Stars like the sun generate energy through nuclear fusion.
ii)The most stable nucleus in terms of binding energy per nucleon is 56fe.
iii) The core of nuclear fission reactors consists of uranium enriched in 235u surrounded by a moderator which slows down the neutrons from the 235u.
What is Nucleus?This is referred to as the dense part which is present at the center of the atom and it comprises of particles such as proton and neutron. Iron -56 is referred to as the most stable nucleus because it has the lowest mass per nucleon of all nuclides.
Nuclear fusion is the process in which two light nuclei merge to form a single heavier nucleus and energy is generated as a result which is used by stars.
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what observational evidence supports the galactic fountain model, which describes how gas cycles between the disk of the galaxy and regions high above the disk?
Along with cold gas that appears to be falling from the halo, we also observe hot gas far above the portion of the disk close to our solar system. This observational evidence supports the galactic fountain model, which describe how gas cycle between the disk of the galaxy and regions high above the disk.
What is the model for the galactic fountain?
The idea that hot, ionized gas that super bubbles blow off of the galactic disk and into the halo cools and returns to the disk.
What might start an interstellar fountain?
In this Milky Way graphic, the galactic fountain scenario is depicted. Supernova explosions in the galactic disc heat the interstellar medium and can force hot gas out of the disc, leading to the creation of so-called galactic fountains, which help build a halo of hot gas around the Milky Way.
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Kieran is driving his chevrolet spark around a level turn with a radius of curvature of 70. 9 m at a speed of 22. 4 m/s. Calculate the acceleration of the car.
The Chevrolet Spark accelerates at 7.1 m/s around a flat turn with a radius of curvature of 70.9 m at a speed of 22.4 m/s.
Describe acceleration.The rate at which the speed and direction of a moving object vary over time. A point or object going straight forward is accelerated when it accelerates or decelerates.
A is the centripetal acceleration, and V is the linear velocity.
Radius v = 22.4 m/s
Radius = 70.9 m
a = 22.42 / 70.9 m a
a = 7.1 m/s / s
Centripetal acceleration is the term used to describe the speed of a body rotating in a circle. A vector quantity, that is. It is represented as m/s2.
Consequently, the car's acceleration is 7.1 m / s
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bronco the skydiver falls toward earth. the attraction of earth on bronco pulls him down. the reaction to this force is
Bronco the skydiver falls toward earth. the attraction of earth on bronco pulls him down. The reaction to this force is.
a. Bronco finally pushing against Earth's surface.
b. Bronco pulling up on Earth.
c. Earth's surface finally pushing against Bronco.
d. neither A, B, nor C
Bronco pulling up on Earth
On this planet all our bodies have a weight, or downward force of gravity, proportional to their mass, which Earth’s mass exerts on them. Gravity is measured via the acceleration that it offers to freely falling gadgets. At Earth’s surface the acceleration of gravity is ready 9.eight metres (32 feet) in step with second in keeping with 2nd. as a consequence, for every second an object is in free fall, its velocity will increase by using approximately 9.8 metres per 2nd. on the floor of the Moon the acceleration of a freely falling body is about 1.6 metres in line with second in line with second.
Skydiving, additionally called parachuting, use of a parachute—for either leisure or aggressive purposes—to slow a diver’s descent to the ground after jumping from an airplane or other excessive location. the game traces its beginnings to the descents crafted from a warm-air balloon by the French aeronaut André-Jacques Garnerin in 1797, however current skydiving is generally performed from a propeller-pushed airplane. At occasions together with the annual world free Fall convention in Quincy, Illinois, but, parachutists are afforded the possibility to jump from such diverse craft as hot-air balloons, helicopters, and a Boeing 727.
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this chapter considers a downhill race between a rolling sphere, a rolling cylinder, a rolling hoop, and a sliding particle. who wins?
According to the assertion, the sliding particle will dominate the downhill race between the rolling sphere, rolling cylinder, rolling hoop, and sliding particle.
What is sliding friction, exactly?Sliding friction is the resistance that any two items produce as they slide against one another. This friction, sometimes referred to as kinetic friction, is the force required to keep one surface moving along another.
Briefing : A sphere, a cylinder, and a hoop, all of mass M and radius R, are released from rest and roll down a ramp of height h and slopeθ. They are joined by a particle of mass M that slides down the ramp without friction.
for particle c = 0 where c is a constant that depends upon the object .
a=a (particle), rolling sphere c=2/5, a (cm) = 5/7a (particle) =0.71a (particle)
rolling cylinder ,c=1/2 ,a(cm)=2/3a (particle) =0.67a (particle), rolling hoop =0.50a (particle).
then we have ¹/₂ I cm ω² ₊¹/₂ Mv cm²=Mgh
ω=Vcm/R , Icm = cMR² where c is a constant that depends upon the object .
Mgh= ¹/₂(cMR²)(Vcm/R )+¹/₂M v cm² , therefore v cm =[tex]\sqrt2gh/\sqrt\ (1+c)[/tex]
therefore , v(particle)>v(sphere)>v(cylinder)>v(hoop)
and a (particle)>a(sphere)>a(cylinder)>a(hoop).
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how fast must air blow across the top of the straw to draw water to the top of the straw? assume that the density of air is
The air blows across the straw's top at a speed of 122.79H m/s, causing water to collect there. To get water to collect at the straw's top, air is blown over it.
A moving object is said to be moving at a variable pace when it travels a varying distance at regular intervals of straw's top. The uniform speed determined by the ratio of the whole distance travelled by an object to the total amount of time it took to travel that distance is known as the average speed. Air blow straw's top are renowned to offer targeted, high-pressure output and are most ideal for automotive and industrial cleaning applications.
1/2*density* v = density*g*h
v = (density of b / 2*density*g*h)1/2
= (2*1000*9.8*h/1.3)\sv = 122.79h
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