Answer: Attached JPG
Explanation:
FBD shows the forces acting on an object. If you where given no values (mass, acceleration, μ, etc...) then simply label the various vectors. Vectors show direction and magnitude as in how big the force is.
If you where given the mass you can find the weight and normal force (not inclined plane) by multiplying mass times gravity. Fg=Fn because its not moving in the y dimension (up and down).
If given acceleration and told no friction then the force applied would be mass times acceleration.
If given friction force you have to set up the equation m*a=Fa-Ff and then plug in variables.
It gets more complicated when you are given μ. To find these force then you have to set up the equation Ff=μFn. Plug in variables to find Ff, then set up previously listed equation.
Hope this helps
Which options rotates the square 90 degrees…? Which option rotates the square 90 degrees (one quarter turn) clockwise?'
Rotates the square 90 degrees is to turn a quarter turn counterclockwise direction.
When magnitude and direction are used together, a quantity is said to be a vector. On the other hand, is a scalar quantity is one whose magnitude perfectly captures its nature. In order to comprehend motion and forces that occur in two dimensions, it is important to learn some vector basics and apply those are basics.
Previously covered vector values include displacement, velocity, acceleration, and force. A complete description of each of these quantities necessitates the listing of both a magnitude and a direction.
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(13%) Problem 7: Consider the Lyman series for atomic transitions in hydrogen: 50% Part Calculate the wavelength the first line in the Lyman series, in nanometers 50% Part (b) What type of electromagnetic radiation is it?'
The wavelength of the first line in the Lyman series of the hydrogen spectrum is equal to 121.6 nm and it will be ultraviolet radiation.
When an electron transitions from its lowest energy state of n = 1 to n = 2 (where n is the main quantum number), the Lyman series, a hydrogen spectral series of transitions and ultraviolet emission lines are produced. The transitions are given Greek letter names, such as Lyman-alpha, which goes from n = 2 to n = 1.
Given Z = atomic number and R = Rydberg's constant (109677 cm-1)
since for the first line of the Lyman series, the electron is de-exited from the excited state (i.e., n2=2) to the ground state (i.e., n1=1).
1/∧ =R(1/n1^2- 1/n2^2)
1/∧= 109677(1/1 - 1/4)= 109677(3/4) = 121.6nm
As a result, we know that the wavelength of the first line in the Lyman series of the hydrogen spectrum is equal to 121.6 nm. As the range of ultraviolet radiation is from 100 nm to 400 nm. So it will be ultraviolet radiation.
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a 2-kg block is attached to a horizontal ideal spring with a spring constant of 200 n/m. when the spring has its equilibrium length the block is given a speed of 5 m/s. what is the maximum elongation of the spring?
the maximum elongation of the spring is 0.5 m.
Calculation :
given ,
mass = 2Kg
K (Spring constant) = 200 n/m
speed = 5 m/s
At the point where it has a speed of 5 m/s there is only kinetic energy and at max elongation there is only potential energy.
= [tex]\frac{1}{2}MV^{2} = \frac{1}{2} Kx^{2}[/tex]
= (1/2)*2*5² = (1/2)*200*x²
= 25 = 100 x²
= [tex]X = \sqrt{\frac{25}{100} }[/tex]
X = 0.5 m
Magnetically confined fusion plasmas, such as those produced in tokamak and stellarator, are characterized by typical geometries. Plasma shaping is the study of plasma shape in such devices and is of particular importance for next-stage fusion devices such as ITER. This shape partially determines the performance of the plasma. In particular, since the tokamak is an axisymmetric device, the shape of the plasma can be completely defined by its cross section.
Early fusion reactor designs tended to have circular cross-sections simply because they were easier to design and understand. In general, fusion machines that use a toroidal layout, such as tokamak and most stellarators, arrange the magnetic field so that the ions and electrons in the plasma move rapidly around the torus.
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Tammy and Trish are both helping organize the library. They each take 150 books and line them on the new shelves 10m away. Tammy finishes her stack task in 3.5 hours while Trish requires 2 hours to complete her part.
a. Who does more work, or do they both do the same amount?
b. Who has more power?
c. Explain
a) Both Tammy and Trish do same amount of work.
b) Trish has more power.
What is work?A force must be applied in order for work to be completed, and there must also be motion or displacement in the force's direction. The amount of force multiplied by the distance moved in the force's direction is known as the work done by a force acting on an item. Work has no direction and only magnitude. Work is a scalar quantity as a result.
What is power?Power is a physical term that can have a variety of interpretations depending on the situation and the information at hand. Power is the quantity of energy consumed per unit of time and can be defined as the rate at which work is done.
As They each take 150 books and line them on the new shelves 10m away. total work of them is same but Trish takes less time, so he has more power.
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93. High biological value proteins are classified as A_ complete proteins. B_ plant-based proteins C essential amino acids_ D free-form amino acids_
Option C; High biological value proteins are classified as Essential amino acids
When a proteins contains the essential amino acid in right proportion required by human being it is high biological value.
An obligatory amino acid, also known as an essential amino acid, is one that the body cannot produce quickly enough to meet its needs from scratch, necessitating dietary intake. Nine amino acids—phenylalanine, valine, threonine, tryptophan, methionine, leucine, isoleucine, lysine, and histidine—of the 21 essential amino acids for all living things cannot be produced by humans.
Six additional amino acids are classified as conditionally necessary in the human diet, which means that their synthesis may be restricted in certain pathophysiological situations, such as in infants who are premature or people who are experiencing acute catabolic distress. Arginine, cysteine, glycine, glutamine, proline, and tyrosine are the six amino acids in question. Humans can generate sufficient amounts of six amino acids that are non-essential (dispensable), meaning they are not required.
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A crate slides down a ramp that makes a 20∘ angle with the ground. To keep the crate from sliding too fast, Paige pushes back on it with a 67 N horizontal force.
The energy an object has as a result of motion is known as kinetic energy.
What Factors Affect Kinetic Energy? Mass and speed are the two elements that have an impact on kinetic energy. If neither of these two things changes, an item keeps its kinetic energy. The kinetic energy of an item varies with changes in mass or speed.In other words, when an object's mass doubles, so does its kinetic energy because kinetic energy increases as the square of the speed.An object's kinetic energy doubles for every two times it moves at the same speed. Imagine two identical cars, one of which is moving at a speed that is twice as fast as the other. Accordingly, assuming equivalent braking forces, the quicker car will need to travel four times farther to stop than the slower car.On the other hand, doubling the speed of the quicker car requires four times as much work.
The Complete Question is Kinetic Energy.
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calculate the force of earth's gravity on a spacecraft 2.50 earth radii above the earth's surface if its mass is 1200 kg .
Determine the gravitational pull of the Earth on a spaceship. If its mass is 1850 kg, it is 2.00 Earth radii above the surface of the planet. A spacecraft experiences gravity at a force equal to its weight.
The spacecraft is three times as far from the Earth's centre since it is 2.00 Earth radii above the planet's surface. The spacecraft is three times as far from the Earth's centre since it is 2.00 Earth radii above the planet's surface. The height of the spacecraft is 2.00 earth radii. Consequently, the gravitational force equation is given by, The spacecraft is three times as far from the Earth's centre since it is 2.00 Earth radii above the planet's surface. There are spacecraft at a height of.
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fire hoses used in major structural fires have an inside diameter of 6.40 cm suppose such a hose carries a flow of 40.0 l/s, starting at a gauge pressure of 1.62 x 106n/m2 the hose rises up 10.0 m along a ladder to a nozzle having an inside diameter of 3.00 cm. what is the pressure in the nozzle?
The pressure in the nozzle greater than 2000.
A diameter of a circle is any instantly line section that passes through the center of the circle and whose endpoints lie at the circle. it could additionally be described because the longest chord of the circle. both definitions also are valid for the diameter of a sphere.
Calculation:-
Volume = 6.4× 3 × 10
= 192cm³
P= nRT/V
= 2000
A nozzle is a device designed to manipulate the course or traits of a fluid glide (especially to increase velocity) because it exits (or enters) an enclosed chamber or pipe.
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1. the wavelength of a particular color of violet light is 414 nm. calculate the frequency of this color.
The violet color has a frequency of 7.24 x (10)^14 / sec based on the wave length provided.
What wavelength is it?A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent emblems) in the consecutive cycles. This length is typically defined in wireless systems in metres (m), centimeters (cm), or millimeters (mm) (mm).
Briefing :we know that, f = frequency = 1/wavelength = c/λ
where c = speed of light = 299 792 458 m / s or 3 x 10^{8} m/s
and given wavelength ( λ)=414 nm
1 nm = 10^{-9} m
so, λ= 414 x 10^{-9} m
therefore f= frequency= 7.24 x (10)^14 / sec.
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gendo is driving a car at 20 m/s when he suddenly slams on the brakes, locking the wheels. the coefficient of kinetic friction between the tires and the road is 0.84. what is the speed of the car 1.4 seconds after he slams on the brakes? ignore air resistance
The heat and pressure generated when slamming on the brakes can cause tears and cracks in the hoses.
Sliding friction is defined as the force acting between moving surfaces. An object moving on a surface experiences a force opposite its direction of motion. The force magnitude depends on the dynamic friction coefficient between the two materials.
Static friction prevents the box from moving without being pushed. It must be overcome with sufficient reaction force before the box can move. Kinetic friction is the force that resists the relative motion of surfaces when they begin to move.
Sliding friction is also called kinetic friction because it occurs between two surfaces rubbing against each other. Sliding friction is caused by the entanglement of surface irregularities.
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on a frictionless surface, a sliding box collides and sticks to a second identical box that is initially at rest. what is the final kef of the system in terms of the initial kei?
Pn a frictionless surface, when a sliding box xollides and sticks to a second indetical box that is initilly at rest, the final kinetic energy (KEf) of the system is 1/2 of the initial kinetic energy (KEi)
Kinetic energy is energy that occured because an object is moving. Kinetic energy is determined based on an object's mass and velocity. Kinetic energy is formulated as:
KE = 1/2 mv²
Since boxes are colliding, conservation of momentum is happening in the system. Conservation of momentum states that the total momentum of a system remains constrant. Momentum is the result of multipication between an object's mass and velocity. Hence, the conservation of momentum could be formulated as:
P = P
P = m.v
Δm.v = Δm'v'
Based on the case, we know that:
v1 = v
v2 = 0 --> second box is initially at rest
m1 = m2 = m
The initial kinetic energy of the system is:
KEi = KE1 + KE2
KEi = 1/2m.v² + 1/2m(0)
KEi = 1/2mv² ...(i)
Because both boxes collide, we can use the conservation of momentum to find the final velocity of both boxes:
m1v1 + m2v2 = (m1+m2)v'
m.v + m(0) = 2mv'
mv = 2mv'
v' = 1/2v ...(ii)
We can find that the final kinetic energy is:
KEf = KE1' + KE2'
KEf = 1/2m.v'² + 1/2m.v'²
KEf = m.v'² ... (iii)
We could subtitute the equation (ii) into equation (iii)
KEf = m.(1/2v)²
KEf = 1/4m.v² ...(iv)
If we subtitute the equation (i) into equation (iv), we get:
KEf = 1/2KEi ... (v)
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you are attempting to create a standing wave with n = 7 in a pipe .50m in length and filled with air. the top of the pipe is open to the ait and the bottom of the pipe is barely submerged in water and thus closed. draw the diagram for this standing wave with the proper nodes and antinodes for this open- closed pipe. what is the frequency?
The top of the pipe is open to the air and the bottom of the pipe is barely submerged in water and thus closed is 1200.5Hz
[tex]Wavelength =[/tex] λ = [tex]\frac{4L}{7}[/tex]
[tex]Frequency =[/tex] v× 1/λ = 343 ×[tex]\frac{1}{4l/7}[/tex]
[tex]f[/tex] = [tex]\frac{7*343}{4L}[/tex] = [tex]\frac{7*343}{4*0.5}[/tex] = [tex]f = 1200.5Hz[/tex]
In physics, the wavelength is the spatial length of a periodic wave—the distance over which the wave's form repeats. it is the space between consecutive corresponding factors of the same section on the wave, consisting of adjoining crests, troughs, or 0 crossings, and is a characteristic of both visiting waves and standing waves, in addition to other spatial wave patterns. The inverse of the wavelength is known as the spatial frequency. Wavelength is generally particular via the Greek letter lambda (λ). The time period wavelength is likewise once in a while applied to modulated waves, and to the sinusoidal envelopes of modulated waves or waves shaped by means of interference of several sinusoids.
Assuming a sinusoidal wave transferring at a hard and fast wave velocity, the wavelength is inversely proportional to the frequency of the wave: waves with better frequencies have shorter wavelengths, and lower frequencies have longer wavelengths.
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Organizational commitment has been found to be positively correlated with all of the following except
an employee's age
an employee's time on the job.
an employee's level of education
the current job market.
2 points
QUESTION 2
Shannon is given random bonuses of varying amounts throughout the year based on "how well the company is doing." She is being reinforced using a
fixed ratio schedule.
variable ratio schedule.
fixed interval schedule.
variable interval schedule.
2 points
QUESTION 3
Glass created a computer game experiment whose results indicated that Type A subjects?
Showed a significantly higher physiological stress response rates than the Type B subjects, but recovered back to baseline rates as quickly as the Type Bs.
Showed significantly lower physiological stress response rates than the Type B subjects.
Showed similar physiological stress response rates to the Type B subjects in the game, but had a signficantly higher stress response to the "harrass" condition.
Showed significantly higher stress response rates but beat the game more times than the Type B subjects.
2 points
QUESTION 4
According to goal-setting theory, the key determinants of motivation in the workplace are
job satisfaction and the accomplishment of goals.
monetary incentives associated with meeting goals.
specific, challenging opportunities and commitment to goals.
specific, challenging opportunities and organizational policies directed at goal attainment.
2 points
QUESTION 5
There is a negative correlation between age and voluntary absenteeism.
True
False
1
1) Current Job Market 2) Variable Ratio Schedule 3) Showed significantly lower physiological stress response rates than the Type B subjects.4) Specific challenging activities and commitment to goals 5) True.
Various research studies have proved that an employee's age, tenure, and level of education positively correlates with organizational commitment. A variable-ratio schedule is a reinforcement where conduct is strengthened after an irregular number of reactions. According to Locke's Goal Setting theory, human actions are purposeful and are directed by conscious goals and the challenging nature of opportunities.
When a behavior is reinforced after a random number of answers, it is said to be on a variable ratio schedule. A high, consistent rate of response is produced by this form of timetable. Because of the chance that the subsequent response will be the one required to get reward, organisms are persistent in responding.
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the worker's pull on the handle of the cart can best be described as a force having a a horizontal component , only b a vertical component , only c a horizontal and a vertical component d no directional component
The worker's pull has both the horizontal and the vertical component that is : both magnitude and direction.
Why would the force have horizontal and vertical component ?Draw the force vector graphically, then a horizontal and vertical line that forms a right triangle. It is possible to measure the connections between the horizontal and vertical lines graphically or alternatively by computation.
In mechanics, horizontal and vertical components are frequently seen.
Two forces that are mutually perpendicular to one another can be used to break down a force acting in one direction into its component parts.
Thus we will get the two components the vertical component being the N that is normal and the horizontal component is f = friction.
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different masses are hung on a spring scale calibrated in newtons. the force exerted by gravity on 1.0 kg is shown in the image below in newtons. an image of a spring scale with a 1 kilogram weight attached. the scale reads 9.8 n. what would be the force exerted by gravity on 9.0 kg? 9.0 n 9.8 n 81 n 88 n
The force exerted by gravity on a mass of 6.5 kg will be equal to 64 N. Hence, option A is correct.
What is Force?Any operation that has the ability to alter, maintain, or modify a body's motion is considered a force in mechanics. Isaac Newton's Principia Mathematica has three laws of motion that are usually used to demonstrate the idea of force (1687). A body at rest or consistently moving in a straight path is said to remain in that state before a power is applied to it, according to Newton's first law.
Now, let's find out the force exerted by gravity,
Given,
Mass, m = 6.5 kg
Use the value of acceleration due to gravity (g) as 9.8 m/s².
f = 6.5 × 9.8
f = 63.7 or,
f = 64 N.
Therefore, the force exerted by the gravity will be equal to 64 N.
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the explosive tnt has a heat of combustion of 3406 kj/mol. is this higher or lower than sugar?
TNT's heat of combustion is 3406 kJ/mol lower than that of sugar, which is 5639 kJ/mol. TNT burns at a lower temperature, which means that it will explode more quickly. For sugar, the heat-up period will be somewhat longer.
What is Heat?Heat is the result of the movement of kinetic energy within a material or an item, or from an energy source to a material or an object. Radiation, conduction, and convection are the three mechanisms through which such energy can be transferred.
What is TNT?The term "TNT equivalent," which is frequently used to refer to the energy produced in an explosion, is a typical approach to transmit energy. A metric ton (1,000 kilograms) of TNT is equal to 4.184 gigajoules, or roughly the amount of energy released when a ton of TNT detonates.
Hence, TNT's heat of combustion is 3406 kJ/mol lower than that of sugar, which is 5639 kJ/mol.
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a 1000-turn coil of wire 1.0 cm in diameter is in a magnetic field that increases from 0.10 t to 0. 30 t in 10 ms. the axis of the coil is parallel to the field. what is the voltage induced in the coil?
The coil of wire's EMF is E = 1.57.
We are given;
Wire's number of turns; N = 1000 turns
The wire's diameter is 1 cm (0.01 m).
Radius; r = 0.01/2 = 0.005 m
Initial magnetic field strength; B1 = 0.10 T , Final magnetic field strength; B2 = 0.30 T
Time; Δt = 10 ms = 10 × 10⁻³ s
We are told that the axis of the coil is parallel to the field. This implies that the EMF will be maximum and θ = 0
According to Faraday's law of induction, the maximum induced EMF of the coil is expressed as;
E = N(Δ∅/Δt)
Where;
E is induced EMF
Δ∅ is change in magnetic flux
Δt is change in time
N is number of turns of coil
Now, Δ∅ = (B₂ - B₁)Acos θ
Since θ = 0°, then cos θ = 1. Thus;
Δ∅ = (B₂ - B₁)A
A is area = πr² = π(0.005²)
Thus;
E = (1000 × (0.3 - 0.1) × π(0.005²))/(10 × 10⁻³)
E = 1.57 V
What happens when a coil is in a magnetic field in a straight line?The induced current is 0 when the rectangular coil is perpendicular to the magnetic field's direction. It's because the cross-section of the coil basically has zero or no magnetic field lines connected to it.
What is the induced emf when the coil's plane is parallel to the field?The magnetic flux change is greatest when the coil plane is parallel to the magnetic field, and it is zero when the coil plane is normal to or perpendicular to the magnetic field, resulting in the maximum and smallest emf values, respectively.
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why can't you get all the dust off your car by just squirting water from a hose onto it? why can't you simply remove dust just by blowing across a surface? why does dust cling to a fast rotating fan? how can a leaf stay on a car moving at high speed?
It all happens because of the law of Inertia.
The Newton's first law which is also called the law of inertia states that when a body is moving or at rest, it tends to be in the same state state until an external force is applied to it.
The dust particles can't be removed just by squirting water as the water may become stagnant and the dust particles will get mixed up with water by making a heterogenous mixture and they can remain there. Thus, a large pressure should be applied with a large amount of force which can remove the particles.
The same goes with other dust particles, they can't be removed until an external force is applied so that they leave the surface and fall off. Here, newton's first and second law works.
The leaf remains on the car because the force applied by the air on the opposite is more to make the leaf stay or sometimes they get stuck in a part of a car from where it can't be flown until a great amount of force is applied. Here, Newton's third law works.
Therefore, everything is controlled by the Newton's laws of motion.
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280 nm thick. find (a) the wavelength and color of the light in the visible spectrum most strongly reflected and (b) the wavelength and color of the light in the spectrum most strongly transmitted. explain your reasoning.
We can see because of light, an electromagnetic wave. The visible spectrum, also known as visible light, is a tiny portion of the electromagnetic spectrum.
A spectrum of wavelengths between 400 and 700 nanometers makes up the visible light. The wavelength range is more commonly written as 7 10-7 metres to 4 10-7 metres. 590–620 nm for orange Red: 620-750 nm (400–484 THz frequency) Violet light has the highest frequency and energy since it has the shortest wavelength. Wavelengths and colours of the visible spectrum. Wavelengths that correspond to red, orange, yellow, green, blue, indigo, and violet are all included in the visible light spectrum. Although magenta is visible to the human eye, there is no equivalent wavelength because the brain uses a trick to make it appear that way.
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the command module of the apollo spacecraft can be modelled as a truncated cone with a base diameter of 3.90 meters, a diameter at the upper (apex) end of 1.30 meters, and a length of 3.50 meters. the magnitude and direction of the earth's magnetic field do not vary significantly over a distance the size of the spacecraft. if the spacecraft is oriented while in orbit so that its long axis is parallel to the earth's magnetic field, which has a magnitude of 0.500 x 10-4 t, what is the amount of magnetic flux which passes through the sloping sides of the spacecraft (that is, excluding the base and top surface)?
The amount of magnetic flux which passes through the sloping sides of the spacecraft=28.57×10^-4Tm^2.
Amount of magnetic flux is given by
Ф=B.Acosθ
since , the magnetic field is parallel to area(sloping area) so, θ=0
Ф=B.Acos0=BA
Hence, B=1.0×10^-4T
A=π(R+r)h=3.14×(3.90+1.3)/2×35
A=28.57m^2
so , magnetic flux
Ф=1.0×10^-4×28.57=28.57×10^-4Tm^2
Magnetic Flux :
Specifically in electromagnetism, the magnetic flux through a surface is the integral of the normal component of the magnetic field B across that surface. Usually displayed as Φ or ΦB. The SI unit of magnetic flux is Weber and the CGS unit is Maxwell.
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Salinity measures the amount of salts dissolved in water. Which statement correctly explains what happens whenaquatic animals are moved to an aquatic ecosystem with a different salinity?
The individual effect of salinity reduced organism performance in 43% of the observations, including decreased survival and growth, increased osmolyte content in bodily fluids, altered metabolic rates, etc.
What effects does salinity have on aquatic life?Estuarine water's salinity varies from one estuary to the next and can alter day to day based on the tides, weather, and other variables. Estuaries are transitional regions that connect land and water, as well as habitats for both freshwater and saltwater species.Ocean water density can be impacted by salinity: Water with a higher salinity is denser, heavier, and will sink beneath less salinized, warmer water. Ocean currents may be impacted by this. It may also have an impact on marine life, which may need to control how much saltwater it consumes.It makes a significant contribution to conductivity and influences many aspects of the chemistry of natural waters as well as the biological activities that take place there. Temperature, pressure, and salinity all influence the physical properties of water, including its density and heat capacity.To learn more about aquatic ecosystem with a different salinity refer to:
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if the spring constant of a simple harmonic oscillator is quadrupled, by what factor will the mass of the system need to change in order for the frequency of the motion to remain the same?
the mass of the system must be quadrupled
here,
the initial spring constant is K0
the final spring constant , K = 4 * K0
when the frequency remains the same
(1/2*pi) * sqrt(K/m) = (1/2*pi) * sqrt(K0/m0)
K/m = K0 /m0
4 * K0 /m = K0 /m0
m = 4 * m0
the mass of the system must be quadrupled
In classical mechanics, a harmonic oscillator is a system that, when displaced from its equilibrium position, experiences a restoring force F proportional to the displacement x:
where k is a positive constant. If the only force acting on a
system is F, the system is called a simple harmonic oscillator, and it oscillates simply. Sinusoidal oscillation of constant amplitude and constant frequency (independent of amplitude) around the equilibrium point.
A harmonic oscillator is called a damped oscillator if there is also a frictional force (damping) proportional to velocity. Depending on the coefficient of friction, the system can:
Oscillates at a lower frequency than undamped and decreases in amplitude over time (underdamped oscillator). The
damps to its equilibrium position without oscillation (overdamped oscillator).
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A 0.14-kg baseball is dropped from rest from a height of 2.0 m above the ground. What is the magnitude of its momentum just before it hits the ground if we neglect air resistance?
A) 0.28 kg ∙ m/s
B) 1.4 kg ∙ m/s
C) 0.88 kg ∙ m/s
\D) 0.62 kg ∙ m/s
E) 0.44 kg ∙ m/s
If a 0.14-kg baseball is dropped from rest from a height of 2.0 m above the ground, then the magnitude of its momentum just before it hits the ground would be 0.8764 kg - m / s.
What is momentum?
It can be defined as the product of the mass and the speed of the particle, it represents the combined effect of mass and the speed of any particle, and the momentum of any particle is expressed in Kg m/s unit.
As given in the problem if a 0.14-kg baseball is dropped from rest from a height of 2.0 m above the ground.
The velocity just before hitting the ground = √ ( 2 × 9.8 × 2)
= 6.26 m / s
The magnitude of its momentum just before it hits the ground = 0.14 × 6.26
= 0.8764 kg - m / s
Thus, the magnitude of its momentum just before it hits the ground would be 0.8764 kg - m/s
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Predict/Calculate A 1100-kg car coasts on a horizontal road with a speed of 19 m/s. After crossing an unpaved, sandy stretch of road 32 m long, its speed decreases to 12 m/s. Was the net work done on the car positive, negative, or zero? Explain, Find the magnitude of the average net force on the car in the sandy section.
The magnitude of average net force on the car in the sandy section = 11395.31 N
What is Force ?An object is pushed or pulled by force. When an item interacts with another object, force can be applied to that object. Force is an external agent that has the power to alter an object's state of motion, causing a body at rest to move and a body in motion to stop.
According to the given information
Work Done = [tex]\Delta K E \\[/tex]
Net work done = [tex]K E_f-K E_i \\[/tex]
Net work done = [tex]\frac{1}{2} m v_f^2-\frac{1}{2} m v_i^2 \\[/tex]
Net work done = \[tex]\frac{1}{2} \times 1100 \times\left[(19)^2-(32)^2\right] \\[/tex]
Net work done = -364650 [tex]\mathrm{~J} \\[/tex]
Net work done = [tex]F_{\text {avg }} \cdot d \\[/tex]
364650 = [tex]\left(F_{\text {avg }}\right)(32) \\[/tex]
[tex]F_{\text {avg }}[/tex] = 11395.31 N
Hence
The magnitude of average net force on the car in the sandy section = 11395.31 N
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a thin glass rod is submerged in water. part a what is the critical angle for light traveling inside the rod?
The critical angle is 76.7°
What is the critical angle of light?The value of this critical angle is given by where n2 is the refractive index of the second medium and n1 is the refractive index of the first medium. When light travels from a medium with a higher refractive index to a medium with a lower refractive index, the critical angle is the angle of incidence above which light is only reflected (no refraction occurs).
The critical angle in this problem is given by because the first medium in it is glass and the second one is oil.
critical angle = arc sin (1.46/ 1.50 )
critical angle = arc sin ( 0.973 )
critical angle = 76.7°
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on a snowy day, when the coefficient of friction μs between a car's tires and the road is 0.50, the maximum speed that the car can go around a curve is 14 mph.
The maximum speed that the car can go around a curve is 14 mph is 28.1 mph.
What is speed?
The speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar number.
The force of friction acting on the car provides the centripetal force that keeps the car in circular motion around the curve, so we can write:
[tex]F=\mu m g=m \frac{v^2}{r} \text { (1) }[/tex]
where
[tex]$\mu$[/tex] is the coefficient of friction
[tex]$\mathrm{m}$[/tex] is the mass of the car
[tex]$\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^{\wedge} 2$[/tex]is the acceleration due to gravity
[tex]$\mathrm{V}$[/tex] is the maximum speed of the car
r is the radius of the trajectory
On the snowy day,
[tex]$$\begin{aligned}& \mu=0.50 \\& v=20 \mathrm{mph}=8.9 \mathrm{~m} / \mathrm{s}\end{aligned}$$[/tex]
So the radius of the curve is
[tex]r=\frac{v^2}{\mu g}=\frac{(8.9)^2}{(0.50)(9.8)}=16.1 \mathrm{~m}$$[/tex]
Now we can use this value and re-arrange again the eq. (1) to find the maximum speed of the car on a sunny day, when [tex]$\mu=1.0$[/tex]. We find:
[tex]v=\sqrt{\mu g r}=\sqrt{(1.0)(9.8)(8.9)}=12.6 \mathrm{~m} / \mathrm{s}=28.1 \mathrm{mph}$$[/tex]
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22. two slits, each 0.80 mm wide, are 2.6 mm apart: when light is shone through them onto a screen how many interference maxima are there between the first diffraction minimum on the left side and the first diffraction minimum on the right side? a 1 b. 3 c.5 d. 7 e.9
Option (D) is the correct answer
Given data: width of each slit, a = 0.80 mm.
distance between the slits, d = 2.6 mm
If the wavelength of light is \lambda then,
2.6 ) = 2 x (0.8) = 6.5 r=2x
x = 7 ( taking the next higher integer of 6.5)
The wavelength of a wave describes how lengthy the wave is. The distance from the "crest" (top) of 1 wave to the crest of the following wave is the wavelength.
Alternately, we can degree from the "trough" (bottom) of 1 wave to the trough of the subsequent wave and get the equal price for the wavelength.
SI unit of wavelength is metre . At the same time as measuring wavelength the multiples or fractions of a metre is also used. Extensively, exponential powers of 10 are used whilst wavelengths are of a huge assets.
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mf capacitor, and an 8.00 mh inductor, all connected across an ac source having a variable frequency and a voltage amplitude of 25.0 v. (a) at what angular frequency will the impedance be smallest, and what is the impedance at this frequency? (
Values calculated are as : ω is 3160 rad/sec; R is 175 ohm; Imax= 0.143 A and t= 0.000331 sec.
What is LRC circuit?An LRC circuit is also known as a tuned circuit, or an RLC circuit It is an electrical circuit consisting of an inductor (L), capacitor (C), and resistor (R) connected in series or parallel.
= √//( 8 *10^-3 * 12.5 * 10^-60
= 3160 rad/sec.
2. Impedance:
Z= √R² + (XL - Xc)²=
= √R²
= 175 ohm
3. Imax= V/Z
= 25/175
= 0.143 A
I = Imax cosωt
Imax/2= I max cosωt
cosωt= 1/2
t = 0.000331
v= Vcosωt= 12.5 V
VR = IRcosωt= 12.5 V
voltage across the capacito
Vc = IXc Cos(ωt - π/2)
= 3.13 V
voltage across the inductor
VL= IXL Cos(ωt + π/2)
= -3.13V
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Note: The question given on the portal is incomplete. Here is the complete question.
Question: An L-R-C series circuit is constructed using a 175Ω resistor, a 12.5μF capacitor, and an 8.00-mH inductor, all connected across an ac source having a variable frequency and a voltage amplitude of 25.0 V.
1-At what angular frequency will the impedance be smallest?
2-What is the impedance at this frequency?
3-At the angular frequency in part A, what is the maximum current through the inductor?
4-At the angular frequency in part A, find the potential difference across the ac source, the resistor, the capacitor, and the inductor at the instant that the current is equal to one-half its greatest positive value.
Label the photomicrograph of compact bone. Osteocyte Central canal Osteon Canaliculus Lacuna Lamella Central canal Cement line Canaliculus Interstitial lamella Osteocyte Osteon
Labeling the photomicrograph of compact bone is done from right to left anticlockwise:
1) Osteon
2) Central Canal
3)cement Line
4) Lamella
5) Lacuna
6) Canaliculus
7) Interstitial Lamella
8) Osteocyte
Discuss each photomicrograph of compact bone.1) Osteon: Osteon is the units in the compact tissue. Osteons are cylindrical structures that contain a mineral matrix and living osteocytes connected by canaliculi, which transport blood.
2) Central Canal: The osteon consists of a central canal called the osteonic canal. It is surrounded by concentric rings of the matrix. The osteonic canals contain blood vessels that are parallel to the long axis of the bone.
3) Cement Line: The cement line, is the interface between the fibers and extraosteonal bone matrix. cement line is a region of reduced mineralization that may contain sulfated mucosubstances.
4) Lamella: Each osteon consists of concentric layers, or lamellae, of compact bone tissue that surround a central canal. lamellae are arranged parallel to the surface; these are called circumferential lamellae.
5) Lacuna: Nucleated bone cells and their processes, contained in the bone lacuna and their canaliculi respectively. lacuna is a small space containing an osteocyte in bone or chondrocyte in cartilage.
6) Canaliculus: Canaliculus is the small channels that radiate from the lacunae to the osteonic canal to provide passageways through the hard matrix.
7) Interstitial Lamella: The bone between the osteons is called interstitial lamellae.
8) Osteocyte: Osteocytes occupy spaces (lacuna) in the bone matrix. It maintains the bone matrix. It is at an earlier stage of development that formed the bone matrix.
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superposition of waves can produce a) a larger wave. b) a smaller wave. c) no wave. d) all the above
The superposition of two waves can produce a smaller wave, a larger wave and no wave as well.
When any two waves travel along the same medium and they overlaps each other, there amplitude overlaps each other, this phenomena is known as superposition of two waves.
When any two waves interferes with each other they can form a wave of greater amplitude, smaller amplitude or even of equal magnitude.
Whether there will be a wave of larger or smaller amplitude it depends totally on the kind of interference taking place.
If the interference is constructive the wave amplitude it supposed to be larger but if the wave interferences destructive than the amplitude of the wave is supposed to be smaller.
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