Answer:
The value of acceleration due to gravity is independent of mass of the body.
Explanation:
Let us consider the mass of the object as m and mass of earth as M
Therefore, force between the object and earth would be given by: F = GMm/d²
This force is equal to the weight of the object, i.e. mg
Thus;
mg = GMm/d²
g = GM/d²
Therefore, the value of acceleration due to gravity is independent of mass of the body.
If the partial pressure of nitrogen in the human body is approximately 593 mm hg at sea level, the partial pressure of nitrogen cannot be ______________ in a scuba diver that is at a depth of 30 feet.
If the partial pressure of nitrogen in the human body is approximately 593 mm hg at sea level, the partial pressure of nitrogen cannot be 760mm Hg in a scuba diver that is at a depth of 30 feet.
Nitrogen narcosis :
The partial pressure of nitrogen increases with pressure, which produces a narcotic effect. Nitrogen narcosis affects both scuba divers and free divers. It causes depression of the central nervous system, which leads to feelings of euphoria, disorientation and irrational behavior. Divers need to consider absorption rates of different gases in order to avoid conditions such as nitrogen narcosis, and decompression sickness.
What is the partial pressure of the nitrogen?
Therefore, at sea level, where atmospheric pressure is known to be 760 mm Hg, the partial pressures of the various gases can be estimated to have partial pressures of approximately 593 mm Hg for nitrogen, 160 mm Hg for oxygen, and 7.6 mm Hg for argon.
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Separately derived system generators shall have the _______________ conductor sized not smaller than required to carry the maximum unbalanced current as determined by NEC Article 220.61.
Separately derived system generators shall have the neutral conductor sized not smaller than required to carry the maximum unbalanced current as determined by NEC Article 220.61.
What is an electric charge?Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge.
Electric current is defined as the charge per unit of time.
The mathematical relation between current and the electric charge
I =Q/T
Generators are basically motors that operate in reverse—they produce electricity when rotated, instead of rotating when supplied with electricity
The conductors that come from generators must be sized, and overload protection is required. But compared to similar considerations for motors, these considerations are much simpler.
Thus, The neutral conductor on separately derived system generators must be no smaller than necessary to carry the maximum unbalanced current as specified by NEC Article 220.61.
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A charge of 12 c passes through an electroplating apparatus in 2. 0 min. what is the average current?
The average current is 0.10 A.
CurrentCharge moving through a location on a circuit at a constant rate is called current. When numerous coulombs of charge pass over a wire's cross section in a circuit, it produces a large current. It is not necessary for a wire to be moving at a fast speed in order to have a high current if the charge carriers are tightly packed into the wire. To put it another way, many charge carriers traveling through the cross section is sufficient; they do not need to travel a great distance in a single instant. The amount of charges that flow through a cross section of wire on a circuit, as opposed to how far they travel in a second, is what determines current.
A charge of 12 c passes through an electroplating apparatus in 2. 0 min. what is the average current?
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What magnitude net force is required to accelerate a 1200-kg car uniformly from 0 m/s to 27.0 m/s in ?
Magnitude of Net force Required to accelerate a 1200kg car uniformly from 0m/s to 27m/s in 10s is 3240N.
Force can be found out using the relation of Force, mass and acceleration.
The relation of Force, mass and acceleration is as follows:
∴ Force = Mass × Acceleration
⇒ Force = 1200kg × Acceleration
Given:
Mass = 1200kg
Final Velocity = 27m/s
Initial Velocity = 0m/s
time = 10s
Now, to find out the acceleration we can use the first equation of motion:
∴ Final Velocity = Initial Velocity + Acceleration × time
⇒ 27 = 0 + 10a
⇒ a = 2.7m/s²
Putting acceleration in the above mentioned equation,
∴ Force = 1200kg × Acceleration
⇒ Force = 1200kg × 2.7
⇒ Force = 3240N
Hence, the net force required to accelerate the car uniformly is 3240N.
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The answer is 3240 N.
Intial velocity [tex]$\mathrm{u}=0 \mathrm{~m} / \mathrm{s}$[/tex]
final velocity [tex]$\mathrm{v}=27 \mathrm{~m} / \mathrm{s}$[/tex]
time [tex]$t=10$[/tex] sec.
Newton's first equation of motion
[tex]$v=u+a t$[/tex], here a = acceleration
[tex]$\mathrm{so}_{0}=(v-u) / t$[/tex]
[tex]$a=(27.0-0) / 10$[/tex]
[tex]$a=2.7 \mathrm{~m} / \mathrm{sec}^{2}$[/tex]
Force [tex]$F=m a$[/tex]
Mass [tex]$\mathrm{m}=1200 \mathrm{~kg}$[/tex]
[tex]$F=1200 \times 2.7$[/tex]
[tex]$F=3240 N$[/tex]
What is acceleration?
Acceleration is the rate at which velocity varies over time, both in terms of speed and direction. A point or object travelling in a straight path is accelerated if it accelerates or decelerates.To learn more about Acceleration visit:
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For an object that is moving at a constant velocity is it necessary for it to be moving in a straight line
No, it's not necessary for the object with constant velocity to move in a straight line.
It can can also move in a uniform circular path.
What is the condition to keep an object moving at a constant velocity?Only when no forces are present or when all of the forces acting on an item are equal and opposite to one another, or when the total force acting on the object is zero, will its velocity remain constant. It's commonly known as equilibrium. The sum of the forces exerted on an object must be zero since, in accordance with Newton's first law of motion, an object moving at a constant speed experiences no net external force.
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The transistor is a great improvement over the vacuum tube because it is much more energy efficient.
a. true or
b. false
The transistor is a great improvement over the vacuum tube because it is much more energy efficient is a True statement .
A transistor is a miniature semiconductor that controls current or voltage flow and also amplifies and generates electrical signals and can also act as a switch/gate for them.
A vacuum tube, also called a valve in British English, is an electronic device used in many older model radios, television sets, and amplifiers to control electric current flow. The cathode is heated, as in a light bulb, so it will emit electrons. This is called thermionic emission.
Transistors consume lower power consumption , less waste heat, and are highly efficient than equivalent tubes, especially in small-signal circuits.
Vacuum tubes runs with D.C voltage which ranges from 400 V to 500 V. Vacuum tubes require much higher power than transistor device. Hence , are less efficient . This is the main advantages of the transistor.
Another advantage of transistors are that they are portable and lightweight equipment. Can operate on lower-voltage supplies for greater safety, also have lower costs and tighter clearances.
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What happens to the visible radiation produced by new stars within a molecular cloud?
The visible radiation produced by new stars within a molecular cloud get absorbed by dust grains and heats up the cloud
A molecular cloud is an interstellar cloud of gas and dust in which molecules can form, the most common of which is hydrogen .
The formation of stars occurs exclusively within molecular clouds because of their low temperatures and high densities, because the gravitational force acting to collapse the cloud must exceed the internal pressures that are acting "outward" to prevent a collapse.
Visible radiation are absorbed by dust grains and heats up the cloud as it cannot penetrate through the cloud instead get absorbed by the cloud . Newly formed stars are visible nearby, their images reddened by blue light which got scattered by the pervasive dust.
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How deep under the surface of a lake would the pressure be double that at the surface? (1 atm = 1.01 x 105 pa)
At depth of h = 10.31 m the surface of a lake would the pressure be double that at the surface
Liquid pressure is the increase in pressure at increasing depths in a liquid. This pressure increases because the liquid at lower depths has to support all of the water above it.
We calculate liquid pressure using the equation liquid pressure = density x acceleration due to g x depth in fluid.
At the surface of the lake , pressure Po is = 1.01 * [tex]10^{5}[/tex] Pa
to find = depth under the surface of a lake would the pressure be double that at the surface
Pressure under the surface will be = 2 * 1.01 * [tex]10^{5}[/tex] Pa = 2.02 * [tex]10^{5}[/tex] Pa
Pressure under the surface = Po + ( rho * g * h )
2.02 * [tex]10^{5}[/tex] = 1.01 * [tex]10^{5}[/tex] + (1000 * 9.8 * h)
1.01 * [tex]10^{5}[/tex] = 1000 * 9.8 * h
h = 10.31 m
At depth of h = 10.31 m the surface of a lake would the pressure be double that at the surface
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A boy on board a cruise ship drops a 30. 0 gm marble into the ocean. If the resistive force proportionality constant is 0. 500 kg/s, what is the terminal speed of the marble in m/s?.
The terminal speed of the marble is 0.588 m/s.
Given:
We know that,
F = mg ......(1)
where,
F = force
m = mass
g = acceleration due to gravity
Also,
v = F/k ......(2)
where,
v = terminal speed
k = proportionality constant
Substituting the value of F from equation (1) in equation (2)
v = mg/k .......(3)
Given,
m = 30 g = 0.030 kg
k = 0.500 kg/s
g = 9.8 m/s²
To find,
v =?
Put the values in equation (3)
v = mg/k
v = 0.03(9.8)/ 0.500
= 0.294/0.500
= 0.588 m/s
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An object moving in the x direction experiences an acceleration of 2.0 m/s2. this means the object (a) travels 2.0 m in every second. (b) is traveling at 2.0 m/s. (c) is decreasing its velocity by 2.0 m/s every second. (d) is increasing its velocity by 2.0 m/s every second.
(d) is increasing its velocity by 2.0 m/s every second.
An acceleration of 2 m/s² means that the object is is increasing its velocity by 2.0 m/s every second.
What is an acceleration?The rate at which an object's velocity changes over a predetermined period of time is referred to as its acceleration. Acceleration is mathematically defined as an object's change in velocity divided by the amount of time it took for that change to occur.
[tex]Acceleration = \frac{change in velocity}{time}[/tex]
The positive sign of the acceleration denotes a change in velocity that is positive and growing, whereas the negative sign denotes a change in velocity that is decreasing.
Consequently, an acceleration of 2 m/s² indicates that the object's velocity is increasing by 2 m/s every second.
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option(d) is increasing its velocity by 2.0 m/s every second is the right answer.
An object moving in the x direction experiences an acceleration of 2.0 m/[tex]s^{2}[/tex] this means the object is increasing its velocity by 2.0 m/s every second.
A 2 m/[tex]s^{2}[/tex] acceleration indicates that the item is accelerating at a rate of 2.0 m/s per second.What does acceleration mean?An object's acceleration is the rate at which its velocity alters over a given amount of time. Calculating acceleration involves dividing the change in velocity of an object by the time it takes for that change to take place.
Acceleration =[tex]\frac{change in velocity}{time}[/tex]
The acceleration's positive sign indicates a change in velocity that is growing and positive, whereas the acceleration's negative sign indicates a change in velocity that is declining.
Consequently, an acceleration of 2 m/s² indicates that the object's velocity is increasing by 2 m/s every second.
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Jennifer works for an automaker and tests the safety performance of cars. she watches a 2,000-kilogram car crash into a wall with a force of 30,000 newtons. what’s the acceleration of the car at impact? use f = ma. the car accelerates at a rate of meters/second2 at impact.
The acceleration of the car at impact is 15m/s².
What is Newton's Second Law of Motion?Newton's second law provides a precise explanation of the modifications that a force can make to a body's motion. According to this, a body's momentum changes at a rate that is equal to the force acting on it over time in both magnitude and direction. A body's momentum is equal to the sum of its mass and velocity. Similar to velocity, momentum has both a magnitude and a direction, making it a vector quantity.
acceleration - rate of change of velocity with time, both in terms of speed and direction. A point or object going straight forward is accelerated when it accelerates or decelerates.
There are three types of accelerated motions :
uniform acceleration, non-uniform accelerationaverage acceleration.express all the units in their most basic form.
kg, newton = kg*m/s², acceleration =m/s²
[tex]\frac{ 30000 kg*m/s^{2} }{ 2000 kg} = 15m/s^{2}[/tex]
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Consider a standing wave on a string. What is the distance between two adjacent nodes in terms of the wavelength λ of the standing wave?.
The distance between the two adjacent nodes = λ/2.
What is Wavelength?
A periodic wave's wavelength is its spatial period, or the length over which its form repeats. It is a property of both travelling waves and standing waves as well as other spatial wave patterns. It is the distance between two successive corresponding locations of the same phase on the wave, such as two nearby crests, troughs, or zero crossings. The spatial frequency is the reciprocal of wavelength. The Greek letter lambda (λ) is frequently used to represent wavelength. The term wavelength is also occasionally used to refer to modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids.
The distance between the two adjacent nodes = λ/2.
for the standing wave ,the distance between any two adjacent nodes or antinodes is 1/2 λ.
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An object having a fixed emissivity of 0. 725 radiates heat at a rate of 10 w when it is at an absolute temperature t. If its temperature is doubled to 2t, at what rate will it now radiate?.
It will now emit at a rate of 160 W.
What exactly is emissivity?the proportion of an emitter's energy to that of a blackbody, a perfect emitter with the same temperature, wavelength, and viewing circumstances. It ranges from 0 (for the optimum reflector) to 1 and has no dimensions (for a perfect emitter).
Why is emissivity important and what does it mean?The ability to reliably measure temperature using an infrared temperature sensor or a thermal imaging camera depends critically on emissivity, which measures a material's capacity to radiate infrared energy from its surface.
What substances exhibit a high emissivity?The type of surface affects a surface's emissivity in addition to the material. A smooth and polished metal surface will have a low emissivity in contrast to a roughened and oxidized metal surface, which will have a high emissivity.
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Roughly to what height would a 5 kg stone need to be raised in order to have the same stored energy as the energy stored in the defibrillator capacitor?
8.16m is the required height, a 5kg stone need to be raised.
One sort of potential energy is gravitational potential energy, which is equal to the product of the object's mass (m), the gravitational acceleration (g), and the object's height (h) as measured in relation to the ground's surface (the body).
We obtain the formula by considering the work done in raising a mass m through a height h.
Work in elevating mass m through height h is equal to force times distance.
The force must be greater than the mass m's weight, hence F = mg.
Work done = mgh = gravitational potential energy
Energy = Mass of the object × gravitational acceleration × height.
Mass of the stone = 5kg
Equating ;
∴ 400 J = 5 kg × 9.8 m/s² × height
Height = 8.16 m
Therefore, 8.16m is the required height.
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The electric potential at the origin of an xy-coordinate system is 40 v. a -8.0-μc charge is brought from x = [infinity] to that point. what is the electric potential energy of this charge at the origin?
Electric potential energy of that charge at origin = 40 V
Electric potential, the amount of work needed to move a unit charge from a reference point to a specific point against an electric field.
The electric potential energy of any given charge or system of changes is termed as the total work done by an external agent in bringing the charge or the system of charges from infinity to the present configuration without undergoing any acceleration.
Electric potential energy is defined as the total potential energy a unit charge will possess if located at any point in the outer space.
Potential energy at a point = change in electric potential to bring it from infinity to that point
Potential energy = Potential at that point - Potential at infinity
conventionally , potential at infinity is taken as zero
Potential energy = Potential at that point
hence , Potential energy of that charge at origin = Electric Potential at the origin
Potential energy of that charge at origin = 40 V
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By how much will the runner's achilles tendon stretch if the force on it is 8.0 times his weight? young's modulus for tendon is 0.15×1010n/m2.
The runner's achilles tendon stretch is 5mm.
What is Young's modulus?
Young's modulus (Y) is described by the following expression.
[tex]Y = \frac{F \times L}{ΔL \times A } [/tex]
where,
F=force exerted on the tendon
A=area
∆L=change in length (streching)
The force in this case is 8 times the weight of the runner
F=8×m×g
F=8×70×9.8
F=5488N
therefore,the change in length of the tendon is given by
[tex]Δ = \frac{F \times L}{ Y \times A } [/tex]
[tex]ΔL = \frac{5488 \times 0.15}{0.15 \times 10 {}^{10} \times 1.1 \times 10 {}^{ - 9} } [/tex]
ΔL=0.00498m
The runner's achilles tendon will stretch by 0.004989m which is approx.5mm
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How do waves made by a dripping faucet compare to the waves seen passing through slits?
The dripping faucet onto the wave causes the frequency to stay the same throughout, it just moves up and down.
When a wave is passed through the single slit, diffraction occurs. The light spreads out and after it passes through the slit, it interferes with itself.
In a particular chemical reaction, the energy of the reactants is 30 kJ and the energy of the products is 5 kJ. The maximum energy of the system is 40 kJ.
Sketch a potential energy diagram for this reaction. Make sure to label the energy of the reactants, the energy of the products, the activation energy, and the enthalpy change for the reaction.
What is the activation energy for this reaction?
What is the enthalpy change for this reaction?
Is this reaction endothermic or exothermic? Explain your answer in two ways: first, using the energy values, and second, by referring to the shape of the graph.
The coating on the head of a match is highly flammable. When it burns, it releases a great deal of energy. However, before the match can burn, it must gain a small amount of energy from a spark. That spark is typically produced by striking (rubbing) the match head against a rough surface. Sketch and describe a potential energy diagram that represents the striking and burning of the match. Remember to label the diagram with the energy changes that occur. Your answer must include the potential energy diagram and a written description. (Note: you do not have to use actual energy values.)
An energy of 25kJ is given out hence the reaction is exothermic.
What is a reaction?Chemical reaction is said to occur when reactants combine leading to the formation of products. In a plot of the energy against the reaction profile, the topmost point of the graph is called the activation energy.
We know that a reaction is exothermic when reactants posses more energy than the products. Hence the enthalpy change for this reaction is;
ΔH = 5kJ - 30kJ = -25kJ thus the reaction is an exothermic reaction.
Now, the activation energy for the lighting of the match stick is high that is why a spark is required before the reaction gets underway. Heat is evolved in the process hence the reaction is exothermic. The energy of the reactants is greater than the energy of the products.
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For a particular transverse wave, there are 1.10 meters between two sequential troughs and nine troughs pass a fixed point along the direction of travel every 14.5 s. Find the wave speed (in m/s).
The speed of the wave is 0.68 m/s.
What is wave speed?Wave speed is the distance the wave travels in a given amount of time, such as the number of meters it travels per second.
V = Fλ
where;
V is the speed of the waveF is frequency of the waveλ is wavelengthWhat is the wavelength?This is the distance between two sequential troughs = 1.1 m
What is the frequency of the wave?The frequency is number of complete oscillation per second.
f = n/t
where;
n is number of complete oscillationf = (9)/(14.5)
f = 0.62 Hz
V = 0.62 x 1.1
V = 0.68 m/s
Thus, the speed of the wave is 0.68 m/s.
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A 4. 137-m long pipe is in a room where the temperature is 16. 164 oc. what is the frequency of the third harmonic if the pipe is closed at one end?
The frequency of the third harmonic if the pipe is closed at one end is = 102.93 Hz.
How can we find the frequency of the third harmonic if the pipe is closed at one end?To find the frequency of the third harmonic if the pipe is closed at one end, we use the formula,
[tex]f_{n} =nf_{1}[/tex]=[tex]n\frac{v}{4L}[/tex] , in this case n= 1,3,5,7,9.....
Here we are given,
L= The length of the pipe = 4.137 m.
v= speed of the sound at 16.164°C .
[tex]v_{0}[/tex]= speed of the sound at 0°C.=331 m/s
Before finding the frequency we have to find the speed of the sound at 16.164°C. To find v, we are using the formula,
[tex]v=v_{0 } \sqrt{\frac{T_{2} }{T_{1} } }[/tex]=[tex]331\times \sqrt{\frac{(273+16.164) }{273 }[/tex]=340.65 m/s.
We have to find the frequency of the third harmonic, so according to the question, n=5
Now we put the known values in the first equation, we can find that
[tex]f_{n}=n\frac{v}{4L}[/tex]
Or,[tex]f_{n} = 5\times\frac{340.65}{4\times 4.137}[/tex]=102.93 Hz.
Therefore, from the above calculation we can conclude that if the pipe is closed at one end the frequency of the third harmonic is 102.93 Hz.
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Which of the following best explains why electromagnetic waves of all wavelengths have the same speed in a vacuum?
A
All electromagnetic waves have the same stiffness and wave speed is proportional to stiffness.
B
All electromagnetic waves have the same manner of propagation; alternating electric and magnetic fields.
C
Why all electromagnetic waves have the same speed was explained by Einstein's theory of relativity.
D
Actually light is the fastest electromagnetic wave, followed by X-rays and then radio waves.
All electromagnetic waves have the same manner of propagation; alternating electric and magnetic fields that's why electromagnetic waves of all wavelengths have the same speed in a vacuum
An altering magnetic field will cause an altering electric field and vice versa. Electromagnetic waves are created from these shifting fields. In contrast to mechanical waves, electromagnetic waves can travel without a medium. The oscillations between an electric field and a magnetic field produce waves known as electromagnetic waves or EM waves.
In other words, magnetic and electric fields oscillate to form electromagnetic (EM) waves. Almost the majority of the energy that sustains life on our planet comes from electromagnetic waves that flow from the sun to Earth through space. Technology is a necessity for many additional electromagnetic wave sources. Examples include X-rays, radio waves, and microwaves.
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In a ruby laser, an electron jumps from a higher energy level to a lower one. if the energy difference between the two levels is 1. 8 ev, what is the wavelength of the emitted photon?
The wavelength of the emitted photon is([tex]\lambda[/tex])= 690nm
How can we calculate the wavelength of the emitted photon?To calculate the wavelength of the photon we are using the formula,
[tex]\triangle E= \frac{h\times c}{\lambda}[/tex]
Or,[tex]\lambda= \frac{h\times c}{\triangle E}[/tex]
We are given here,
[tex]\triangle E[/tex]= The energy difference between the two levels = 1. 8 ev= [tex]1.8\times 1.6 \times 10^{-19}[/tex] C.
h= Planck constant = [tex]6.626\times 10^{-34}[/tex] Js.
c= speed of light = [tex]3\times10^8[/tex] m/s.
We have to find the wavelength of the emitted photon =[tex]\lambda[/tex] m.
Therefore, we substitute the known parameters in the above equation, we can find that,
[tex]\lambda= \frac{h\times c}{\triangle E}[/tex]
Or,[tex]\lambda= \frac{6.626\times 10^{-34}\times 3\times 10^8}{1.8\times 1.6 \times 10^{-19}}[/tex]
Or,[tex]\lambda= 690\times 10^{-9}[/tex] m
Or,[tex]\lambda[/tex]=690 nm.
From the above calculation we can conclude that the wavelength of the emitted photon is 690nm.
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Light of wavelength 560 nm passes through a slit of width 0. 170 mm. (a) the width of the central maximum on a screen is 8. 00 mm. how far is the screen from the slit?
The distance between slit and the screen is 1.214m.
To find the answer, we have to know about the width of the central maximum.
How to find the distance between slit and the screen?It is given that, wavelength 560 nm passes through a slit of width 0. 170 mm, and the width of the central maximum on a screen is 8. 00 mm.We have the expression for slit width w as,[tex]w=\frac{2*wavelength*d}{a}[/tex]
where, d is the distance between slit and the screen, and a is the slit width.
Thus, distance between slit and the screen is,[tex]d=\frac{w*a}{2*wavelength} =\frac{8*10^{-3}*0.17*10^{-3}}{560*10^{-9}*2} \\\\d=1.214m[/tex]
Thus, we can conclude that, the distance between slit and the screen is 1.214m.
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What pressure will 14. 0 g of co exert in a 3. 5 l container at 75°c?
a) 4. 1 atm
b) 5. 0 atm
c) 6. 4 atm
d) 1. 1 atm
The pressure will 14. 0 g of co exert in a 3. 5 l container at 75°c is 4.1atm.
Therefore, option A is correct option.
Given,
Mass m = 14g
Volume= 3.5L
Temperature T= 75+273 = 348 K
Molar mass of CO = 28g/mol
Universal gas constant R= 0.082057L
Number of moles in 14 g of CO is
n= mass/ molar mass
= 14/28
= 0.5 mol
As we know that
PV= nRT
P × 3.5 = 0.5 × 0.082057 × 348
P × 3.5 = 14.277
P = 14.277/3.5
P = 4.0794 atm
P = 4.1 atm.
Thus we concluded that the pressure will 14. 0 g of co exert in a 3. 5 l container at 75°c is 4.1atm.
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Which components are a possible representation of vector w if the magnitude of vector -3w is ?
The components that are a possible representation of vector w if the magnitude of vector -3w is ||-3w||=15 are:
<-3,4><0,-5>What are the vector about?From the question, we were given:
|-3w| = 15
3|-w| = 3|w| = 15
Hence:
|w| = 15/3
|w| = 5
If vector w is represented by <-3,4>, then:
[tex]\sqrt{(-3)^2 + (4)^2} \\\\\\\sqrt{25} = 5[/tex]
If vector w is represented by <0,-5>
[tex]\sqrt{(0)^2 + (-5)^2} \\\\\\\sqrt{25} = 5[/tex]
Therefore, The components that are a possible representation of vector w if the magnitude of vector -3w is ||-3w||=15 are:
<-3,4><0,-5>See full question below
Which components are a possible representation of vector w if the magnitude of vector -3w is ||-3w||=15?
<1,-9>
<-3,4>
<4,5>
<-5,-3>
<0,-5>
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Whats the usefulness or inconvenience of frictional force in a soccer player running with soccer boots (studs underneath)
Answer:
They're are useful in providing larger frictional force
Explanation:
The football shoes have spikes or studs because the studs or spikes provides larger frictional force than normal shoes while running on the grass.
The studs helps to prevent a player from slipping on the grass and help to run faster and change direction quickly without slipping.
Assume earth is approximately a uniform, solid sphere that has a mass of 5.98×1024 kg and a radius of 6.38×106 m. calculate the angular momentum ????z of earth as it spins on its central axis once each day.
The angular momentum of earth is
7×10^33 kgm^2/sec
Given:
mass of earth = 5.98×1024 kg
radius of earth = 6.38×10^6 m
To Find:
angular momentum
Solution:
For earth we have moment of inertia as
I = 2/5mR^2
and angular velocity as ω = 2π/T
Thus angular momentum is given as
L= 2/5mR^2*2π/T
L = 2/5*5.98×10^24*(6.38×10^6)^2*2*3.14/86400s
L = 7 × 10^33 kg/m^2/sec
So, angular momentum of earth is
So, angular momentum of earth is 7×10^33 kgm^2/sec
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An atomic nucleus has a charge of 40e. an electron is 10-9 m from the nucleus. what is the force on the electron?
The force on the electron is (F)= 9.2 nN.
How can we calculate the value of the force on the electron?To calculate the value of the force on the electron here we use the formula,
[tex]F=k\frac{q_{1} q_{2} }{r^{2} }[/tex]
Here we are given,
[tex]q_{1}[/tex]= The charge of an atomic nucleus= 40e = [tex]40 \times 1.6 \times 10^{-19}[/tex] C.
[tex]q_{2}[/tex]= The charge of an electron = [tex]1.6 \times 10^{-19}[/tex] C.
r= The distance between the nucleus and the electron = [tex]10^{-9}[/tex] m.
k= The Coulomb's constant = [tex]8.99 \times10^9 N m ^2 /C^ 2[/tex]
We have to find the value of the of the force on the electron = F
Now , we substitute the known values in the above equation, we can get
[tex]F=k\frac{q_{1} q_{2} }{r^{2} }[/tex]
Or, [tex]F=8.99\times 10^{9} \frac{40\times 1.6\times 10^{-19} \times 1.6\times 10^{-19} }{(10^{-9})^{2} }[/tex]
Or,[tex]F=8.99\times 10^{9}\times {40\times (1.6\times 10^{-19} )^2\times (10^{9})^{2} }[/tex]
Or, [tex]F= 9.2 \times 10^{-9} N[/tex]
Or, F= 9.2nN
So, from the above calculation we can conclude that the amount of force applied on the electron is 9.2nN.
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1. a 0. 338-g sample of antimony was completely reacted with 0. 295 g of chlorine gas to form antimony chloride. determine the empirical formula of the antimony chloride
The empirical formula of the antimony chloride is [tex]SbCl_{3}[/tex].
How to determine the empirical formula?Chemical formulas for compounds that simply specify the proportions of the elements they contain rather than the exact number or arrangement of atoms are known as empirical formulas. The element in the compound with the lowest whole number ratio would be this one.
Data obtained from the question
Antimony (Sb) = 0.338 g
Chlorine (Cl) = 0.295 g
Divide by their molar mass.
Sb = 0.338 / 122 = 0.0028
Cl = 0.295 / 35.5 = 0.0083
Divide by the smallest.
Sb = 0.0028 / 0.0028 = 1
Cl = 0.0083 / 0.0028 = 3
Thus, the empirical formula of the compound is SbCl₃.
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The natural tendency of an object to remain at rest or in motion with a constant velocity is called?
The property of a body to remain at rest or to remain in motion with constant velocity is called inertia.
Newton's first law is often called the law of inertia.As we know from experience some objects have more inertia than others.It is obviously more difficult to change the motion of a larger boulder than that of basketball.For example the inertia of an object is measured by its mass.Mass can be determined by measuring how difficult an object is to accelerate.The more mass an object has,the harder it is to accelerate.
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