He attained the rank of military officer during the combat on the Western Front in World War I and was once more nominated for a Medal.
How do you define forces?The pushing or push on a phalanx item alters its speed. An unseen factor is an agent that possesses the power to change the resting or traveling position of a body. It has a direction as well as a quantity.
What kind of force is it?Contact forces and non-forces are two different kinds of forces. Nuclear force, gravitational force, frictional force, magnetic force, electrostatic force, spring force, and others are a few examples of forces.
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how do scientists predict the location of electrons in the modern model of the atom
Answer:
Scientists predict the location of electrons in the modern model of the atom by using the Heisenberg uncertainty principle.
. consider the replacement of the 400 mw san juan thermoelectric power plant in puerto rico, which uses heavy fuel oil to generate electricity, with a solar photovoltaic farm. the oil plant has a heat rate of 10,811 btu/kwh and a capacity factor of 53%. a. for installation of south-facing fixed tilt pv arrays, with tilt angle equal to the local latitude in san juan, how many acres of collector surface area would be required to replace the generation from the fuel oil plant? assume that the photovoltaic cells have an efficiency of 17%. b. by how many acres can the surface area in part (a) be reduced if single-axis tracking is added (with the collector tilt angle still equal to the local latitude)? c. what will be the annual fuel cost savings ($) if the oil power plant is retired, if heavy fuel oil costs $290 per metric ton and has a heating value of 39,500 btu/kg?
Annual saving energy produced *cost of oil/heating value is
$ 10020.46177.
Latitude and longitude: what are they?Latitudes are lines that are horizontal and show how far a location is from the equator. In relation to the meridian in Greenwich, England, longitudes are vertical lines that show the east and west directions. Latitude and longitude are used in conjunction to locate points or places on the globe by cartographers, geographers, and others.
Puerto Rico's capital city's latitude and longitude are 18° 27' 58.7988" North and 66° 6' 20.5956" West.
Local San Juan latitude divided by tilt angle equals 18.46 WBAN No. 11641 = for year = 5.5 provides information on solar radiation for flat plate collectors facing south with a fixed tilt.
KWh/m2/day = 5.5 KWh/m2/day (1 day =3600h)
Formula used-
Solar radiation at that place* Collector Area *Collector efficiency = Heat rate * Output
power*Capacity factor
1 KW= 3,412.14 BTU/h
Heat rate* output power* capacity factor = 10,811*400*10^3*0.53 BTU/h = 671699.2855
KW
Collector Area = 671699.2855*3600/5.5*0.17
= 25862218.48 m^2= 6390 acres
C.
Cost of oil = 290$ /10^3 kg
Energy produced= 400*10^3 KW = 1364856 *10^3 BTU/h
Heating value = 39,500 Btu/kg
Annual saving Energy produced *cost of oil/heating value
= $ 10020.46177
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A student needs to use the metric system while measuring the length of a box. Which units should he use?centimetersinchesfeetyards.
Answer:
While measuring the length of a box he should use centimetres if he is using the metric system.
Research and draw a diagram showing a food chain with at least four levels of organisms, starting with plants or algae (producers). Show how each organism in your diagram gets energy, and use arrows and labels to indicate the relationship between each of the organisms. Research the average daily calories each organism on your food chain must consume in order to maintain proper body function. While this diagram is called a food chain, it should actually be called a food cycle because you’ll be including a decomposer to tie together the animal at the top of the food chain back to the producers. Along with the diagram, write a three-paragraph explanation of why energy transfer is not 100% efficient in a food chain. Explain where the lost energy goes, and include a paragraph at the end that explains the role of decomposers such as fungi and bacteria. How do they increase entropy to the maximum? Finally, explain how producers (the plants and algae) decrease entropy as the cycle starts over again. In your explanation, include definitions of the second law of thermodynamics and entropy.
Energy is transferred along the food chain from the producers to the decomposers.
What is the food chain?The term food chain has to do with the process by which energy is passed from one organism to another along the in the ecosystem. Let us recall that the ecosystem is a unit that is composed of living and non living parts and is able to sustain itself.
According to the principle of second law of thermodynamics, energy transfers is not 100% efficient. Thus as energy is transferred along the food chain, only 10% of the energy that was acquired from the pervious trophic level is passed on to the succeeding trophic level.
This is because of the fact that the remainder of the energy is utilized in the metabolic activities of organisms. We can rightly call the food chain a food cycle because as we can see from the image, energy is obtained from the sun and passed along the food chain and returned to the producers by the activities of the decomposers.
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Question 2
A car traveling at 114 km/h slows at a rate of 3 m/s² for 2.6 seconds. How far does the car move?
The car travels a distance of 72.202 m
What do you mean by deceleration?
Deceleration is a specific instance of acceleration that only applies to moving objects. Consequently, it is the rate of object slowing down.
It is a vector quantity is deceleration.The opposite of acceleration is deceleration.Its symbol is -a, where a stands for acceleration.Simply applying Galileo's equation, which accounts for both linear acceleration and deceleration equally if the deceleration is constant, the distance covered in deceleration is given by the formula:-
s = ut + ½at²
where
s represents the whole distance traveled during time t.
u is the object's speed when t is equal to 0.
a is the acceleration. If the object is speeding up, the value is positive; if it is slowing down, the value is negative.
Given in the question,
Velocity, u = 114 km/h
= 114 x 1000/ 60 x 60
= 31.67 m/s
Deceleration, -a = 3 m/s²
s = ut + ½at²
= 31.67 x 2.6 - 3 x 2.6 x 2.6/2
= 82.342 - 10.14
= 72.202 m
Hence, The car travels a distance of 72.202 m
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You can have refraction without dispersion, but you cannot have dispersion without refraction. Explain why
Answer:
Explanation:
Because dispersion is a property of refraction. A refractive medium is non-dispersive when waves of all frequencies pass at the same speed, otherwise there is a dispersion that is causing a distortion of waveforms.
A 15.5kg block is dragged horizontally at a constant force of 167 N at an angle of 27.8 above the horizontal. The block is displaced at 59m, and the coefficient of kinetic friction is 0.232. Acceleration is 9.8 m/s^2. Find the work done by 167 N. Answer in units of J.
The work done by the constant force of 167 N, given that the block is displaced at 59 m is 8715.97 J
How do I determine the work done?We know that work done is defined as:
Work done (Wd) = force (F) × distance (d)
Wd = fd
Since angle projection is involved, the work done is defined as:
Wd = FdCosθ
With the above formula, we can detertmine the work done as illustrated follow:
Force (F) = 167 NAngle (θ) = 27.8 degreesDistance (d) = 59 mWorkdone (Wd) =?Wd = FdCosθ
Wd = 167 × 59 × Cos 27.8
Wd = 9853 × 0.8846
Wd = 8715.97 J
Therefore, we can conclude from the calculation made above that the work done is 8715.97 J
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a .5 kg steel ball is suspended from teh ceiling by a 2.5 m long string. the ball is pulled to the side until it is 1 m above its lowest point and then released from rest. the tension in the string when the ball passes through its lowest position is
The tension in the string when the ball passes through its lowest position is 5N (rounded).
The pulling force transmitted axially by the means of a string, a rope, chain, or similar object, or by each end of a rod, truss member, or similar three-dimensional object; tension might also be described as the action-reaction pair of forces acting at each end of said elements.
How to calculate the tension in the string when the ball passes through its lowest position?
Tension = m*g
T = 0.5 * 9.8
= 4.9N
Approximately the tension would be equal to 5N (rounded)
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bob and bill have the same weight and wear identical shoes. keeping both feet flat on the floor and the body straight, bob can lean over farther than bill can before falling. whose center of gravity is closer to the ground? account for your answer.
The taller individual must have reclined less than the smaller man because their shoes are the exact same size (leaning in terms of angle of body made with the ground). Bob's center of mass is consequently located closer to the ground.
what is centre of mass?
A position established in relation to an individual or group of items is the center of mass. It represents the system's average location as weighted by each component's mass. The center of mass for straightforward stiff objects with homogeneous density is found at the midpoint.
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The taller individual must have reclined less than the smaller man because their shoes are the exact same size (leaning in terms of angle of body made with the ground). Bob's center of mass is consequently located closer to the ground.
What is centre of mass?
In physics, the centre of mass of a distribution of mass in space (also known as the balancing point) is the unique location at which the weighted relative position of the dispersed mass accumulates to zero. This is the point at which a force can be applied to generate a linear acceleration without causing an angular acceleration. Calculations in mechanics are frequently simplified when expressed in terms of the centre of mass. It is a hypothetical point at which the entire mass of an item can be considered to be concentrated in order to visualise its motion. In other words, the centre of mass is the particle equivalent of a particular object for the purposes of applying Newton's equations of motion.
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at what velocity will the peak voltage of a generator be 450 v, if its 565-turn, 8.00-cm diameter coil rotates in a 0.250-t field?
The calculated velocity is 7295 rpm. Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path.
According to Faraday's law of induction, an induced electromotive force is produced when a magnet rotates inside a coil. Alternatively said, mechanical energy is changed into electrical energy. Electrical generators are built on the principles of this physical phenomenon. Let's calculate the coil cross section's area A.
A=π 4 d 2 \s= 5.0265 × 10 − 3 m2
Step 2
The following equation describes the greatest induced electromotive force (or peak voltage) in a coil:
ε p=N A B ω
Step 3
Let's use the equation above to calculate the angular velocity. Recall that 1 rpm is equal to 0.10472 radians per second, and 1 tesla is equal to 1 volt per second divided by 1 square meter.
= = p N A = 7295 r pm
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Obtain an expression for fringe width with diagram.
Hope this above expression for fringe width helps you.
Answer:
Explanation:
To obtain an expression for fringe width, we need to consider the phenomenon of interference in wave patterns, such as in the case of Young's double-slit experiment. In this experiment, a coherent light source, such as a laser, is passed through two closely spaced slits, creating an interference pattern of light and dark fringes on a screen placed behind them.
The fringe width (w) can be determined using the following expression:
w = λ * D / d
Where:
- λ represents the wavelength of the light used,
- D is the distance between the double-slit and the screen,
- d is the separation between the two slits.
The diagram accompanying this explanation would illustrate a coherent light source passing through the double slits, with the resulting pattern of light and dark fringes observed on the screen placed behind them. The distance D between the double-slit and the screen, as well as the separation d between the slits, would be indicated in the diagram.
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which one of these represent total momentum of a system of two particles traveling one against the other?
The total momentum of a system is the vector sum of all the individual masses that comprise the system.
Moreover, To calculate the total momentum of two objects during a collision, add their individual momentums. You can calculate the momentum for each object using the formula p=mv, where p is the momentum, m is the mass, and v is the velocity. The law of conservation of momentum can be expressed as follows. For a collision between object 1 and object 2 in an isolated system, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision.
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One of the tallest buildings in the world is the taipei 101 in taiwan, at a height of 1671 feet. Assume that this height was measured on a cool spring day when the temperature was 15. 5°c. You could use the building as a sort of giant thermometer on a hot summer day by carefully measuring its height. Suppose you do this and discover that the taipei 101 is 0. 471 foot taller than its official height. What is the temperature, assuming that the building is in thermal equilibrium with the air and that its entire frame is made of steel?.
Since a bar of length L₀ with a thermal expansion coefficient would experience a length fluctuation ΔL when the temperature changes ΔT, the equation of linear thermal expansion ΔL = ∝LΔT must be used.
The linear thermal expansion equation tells us that a ΔT = (ΔL/∝L₀) = 22.14° based on the following values: ΔL = 0.481 foot, L₀ = 1671 feet, and ∝ = 0.000013 per centigrade degree (this is simply the linear thermal expansion of steel that must be found in a table). As previously stated, these degrees are centigrades (Celsius or Kelvin, it makes no difference as this is merely a variation), and the foot units cancel on the equation, demonstrating that no additional conversion was required.
Our new temperature must be T = T₀ + ΔT = 35.14°C because our last reading on a chilly spring day was 13.0°C.
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what is the maximum speed vmax that the cylinder can move along its circular path without slipping off the turntable?
The cylinder may move along its round path at the maximum speed vmax without falling off the turntable, which is 0.343 m/s. For a mass m body at speed v in a circular of radius r, the centripetal force Fc is Fc| = m v 2/r.
How quickly can you go?The fastest a person can go is considered to be at maximum speed. Velocity is what is meant by the term "acceleration," and since velocity has both a greater acceleration, athletes' acceleration can fluctuate depending on whether they are accelerating in one direction or both.
What is the best way to determine a wave's maximum speed?Equation Speed = Wavelength x Frequency describes how wave speed relates to wave wavelength and wave frequency. Given the wavelength and frequency, this equation could be used to determine the wave speed.
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a movie stunt driver on a motorcycle drives off a 47.7-m tall cliff, in a horizontal direction. how fast is the motorcycle going at an instant that it leaves the cliff, if it lands on level ground below, 62.9 meters from the base of the cliff? answer to one decimal place.
Fast V=13.6 m/s is the motorcycle going at an instant that it leaves the cliff, if it lands on level ground below, 62.9 meters from the base of the cliff in projectile motion.
v=?
V1=0
a1=0
a2=-g
d1=47.7
d2=62
62=o*T-1/2gT²
T=3.5sec
47.7=vT
47.7=v*3.5
v=13.6 m/s
A projectile motion is a type of motion that an object or particle experiences when it is launched into a Gravity , such as from the surface of the Earth, and moves along a curved path only under the influence of gravity. The motion of an object being projected or thrown into the air is known as projectile motion, and it is only affected by the acceleration of gravity. Projectile and trajectory both refer to the same thing: an object. Any object that is launched into space and has only gravity acting on it is considered a projectile. Gravity is the main force at work when a projectile is launched. A projectile is an object that is launched or projected into the air and is only subject to the acceleration of gravity. Projectile and trajectory both refer to the same thing: an object.
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he wavelength of blue light is approximately 4.0 x 10 -7 meters. calculate the frequency of blue light in hertz. a. 2.5 x 10 7 b. 1.2 x 102 c. 3.3 x 10 -9 d. 7.5 x 1014 e. 1.2 x 10 1
The frequency of blue light in hertz is d.) 7.5 x 1014.
What is frequency of a light and how is it calculated?
The electromagnetic radiation differs from other radiations through frequency of that wave. Light is one of the forms of electromagnetic radiations. A hertz is said to be the number of oscillations in one second. For a wave, hertz is the number of wavelengths per second. All types of light travels at a same speed irrespective of their frequency.
The equation that relates frequency and wavelength is:
c= fλ
where, c= speed of light
λ = wavelength in meters
f= frequency in hertz
c= 3×10 8 m/s
λ = 4.0 x 10 -7 meters.
f=c/λ
⇒3×10 8 / 4.0 x 10 -7
⇒7.5 x 1014 Hz.
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What theory did Heisenberg propose?
Werner Heisenberg proposed the Unified Field Theory.
What is the Unified Field Theory?
A unified field theory (UFT) in physics is a sort of field theory that enables all of the concepts often associated with fundamental forces and elementary particles to be expressed in terms of two physical and virtual fields. Modern physics discoveries suggest that forces are instead characterised and disrupted by intermediary phenomena known as fields rather than being communicated directly between interacting objects. The fields are traditionally united into a single physical field as a duality. The term "unified field theory" was first used by Albert Einstein, who sought to combine electromagnetism and his general theory of relativity, and it has been an active area of study for more than a century.
Werner Heisenberg concentrated on Unified Field Theory in his final years of work. This "theory of everything" aims to explain the fundamental forces and elementary particles.
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if you want a characteristic rl time-constant of 5.00 s, and you have a 100 ohms resistor, what value of self-inductance [in h] is needed:
The self-inductance of the RL circuit is 500 H.
We need to know about the time constant r-l circuit to solve this problem. The time constant of RL circuit depends on the resistance and inductance of its circuit. It can be written as
T = L / R
where T is the time constant, L is inductance and R is resistance.
From the question above, the given parameters are
T = 5 s
R = 100 Ω
By using the equation, we can calculate the self-inductance
T = L / R
L = T . R
L = 5 . 100
L = 500 H
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A 5000-kg freight car moving at 2 m/s collides with a 10,000-kg freight car at rest. They couple upon collision and move away at.
The correct answer of velocity is 0.66 m/s or 2 / 3m/s, at which the couple collide.
What is Collision concept?
A collision is a situation in which two or more objects.
Given data:
m1=5000kg
m2=10000kg
v1=2m/s
v2=0
An inelastic collision conserves momentum:
m1v1+m2v2 = (m1+m2) vboth
m1v1+m2v2 = (m1+m2) vboth
vboth =m1v2+m2v2m1+m2
vboth =(5000kg)(2m/s)+(10000kg)(0) / (5000kg+10000kg)
vboth= 10000 / 15000 = 2 / 3 m/s
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A 200 N object is resting on a surface with a maximum coefficient of static friction s = 0.15. A person pushes horizontally with a force of 20 N. Calculate how much force the push needs to be in order to get the object to start moving across the floor.
More than 30 N force needs to be in order to get the object to start moving across the floor.
F=μN
μ= 0.15
N= 200 N
F=200 N×0.15
F=30 N
In mechanics, a force is any action that seeks to preserve, modify, or deform a body's motion. Isaac Newton's three principles of motion, which are outlined in his Principia Mathematica, are frequently used to illustrate the idea of force (1687).
Newton's first law states that unless a force is applied to a body, it will stay in either its resting or uniformly moving condition along a straight path. According to the second law, when an external force applies on a body, the body accelerates (changes velocity) in the force's direction.
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name one advantage of the moment magnitude scale, and one disadvantage of the moment magnitude scale.
The main advantage why the moment magnitude scale is the most dependable approach to calculating the relative length of huge earthquakes
It is that its underlying calculation technique avoids the trouble of significance saturation because it's far based on measurements of an earthquake's overall power earthquake.
Mainly, for very big earthquakes, moment importance offers the most dependable estimate of earthquake length. the moment is a bodily quantity proportional to the slip at the fault expanded by using the place of the fault floor that slips; it is related to the full strength launched in the earthquake.
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the phase velocity of each wavelength of white light moving through ordinary glass is a function of the wavelength; that is, glass is a dispersive medium. what is the general dependence of vp on l in glass? is dvp>d l positive or negative?
The general dependence of phase velocity on glass can be expressed as vₓ = v₀(1 + 2B/nλ²) and it is positive.
What is phase velocity?The phase velocity of a wave is the speed at which the wave propagates through any medium. This is the speed at which the phase of any frequency component of the wave propagates. For such a component, arbitrary phases of the wave appear to travel with phase velocity.
For glass we know that, n = A + B/λ²
vₓ = v₀ - λ(dv₀/dλ)
Where, vₓ = velocity of light in glass
v₀ = phase velocity
λ = wavelength
vₓ = v₀ - λ(dv₀/dn × dn/dλ)
= v₀ - λ (-c/n²) dn/dλ
= v₀+v₀ (λ/n × dn/dλ)
Now,
dn/dλ = d(A + B/λ²)/dλ
= -2B/λ³ which is negative
vₓ = v₀ - v₀ (λ/n) (-2B/λ³)
vₓ = v₀(1 + 2B/nλ²)
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1. For the series circuit in Fig. 21.51:
a. Find the value of XC for resonance.
b. Determine the total impedance of the circuit at resonance.
c. Find the magnitude of the current I.
d. Calculate the voltages VR, VL, and VC at resonance. How are VL and VC related? How does VR compare to the applied voltage E?
e. What is the quality factor of the circuit? Is it a high or low Q circuit?
f. What is the power dissipated by the circuit at resonance?
a) For resonance this circuit should be resistive hence Xc = 30 ohm.
b) Total impedance = |2+30i=30i| = 2ohm.
c) Current=50mV/2=25mA.
d) |VL|=|Vc|=30*25mA=0.75V=750mV since impedance same and they are in series VR= 50mV.
e) Q=wL/R=w*L/R=30/2=15 since wL = 30ohm it is a high Q circuit.
f) Power disspated=i^2R = (25*25*10^(-6).)*2 = 1.25mJ.
The higher the Q the lower the energy loss rate and the slower the vibration damping. A pendulum suspended from high-quality bearings and oscillating in the air has a high Q, while a pendulum immersed in oil has a low Q. High-Q resonators have lower damping, so they oscillate or oscillate longer.
A circuit's figure of merit Q is the electrical energy stored in the circuit divided by the energy consumed in one cycle. The Q of a circuit is an important quantity in certain applications, such as in electromagnetic waveguides and radio frequency cavities.
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write short notes one effect of friction on efficiency of machine
Answer:
Friction reduces efficiency because when two surfaces slide past each other, friction resists their motion, and in real machines, some input work is always used to overcome friction.
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a 0:20 cm radius cylinder, 3:0 cm long, is wrapped with wire to form an inductor. at the instant the magnetic field in the interior is 5:0 mt, the energy stored in the field is about:
The energy stored in the field is 3.75*10-6J.
What is magnetic field?
The area in which magnetism acts, called the magnetic field, is where a magnetic substance or a moving electric charge is located. An illustration of the magnetic field that shows how a magnetic force is dispersed both within and outside of a magnetic substance.
What is inductor?
A wire coil called an inductor is used to store energy in the form of a magnetic field. Inductor energy storage capacity is increased by the coil's typical wrapping of an iron-containing core.
Energy density stored=B2/2?
=5*5*10-6/4*?*10-7
=125/4?
Total energy stored= Energy density stored*Volume
=?r2*h (125/4?)
=3.75*10-6J
Therefore, the energy stored in the field is 3.75*10-6J.
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if you swing a bucket of water fast enough in a vertical circle, at the highest point the water does not spill out. this happens because an outward force balances the pull of gravity on the water. group of answer choices true false
If you swing a bucket of water fast enough in a vertical circle, at the highest point the water does not spill out. This happens because an outward force balances the pull of gravity on the water - True
What is centripetal force?
It is the force applied to a body that is rotating in a circle and is pointed in the direction of the body's center.Centripetal force formula:F = mv^2/r
This experiment demonstrates Newton's first law of motion, which states that objects either remain still or move straight ahead. Inertia is the name for this quality. Force is required to cause an object to rotate in a circle.
The water inside the pail pulls on your arm as you swing it back and forth because it wants to keep moving in a straight line while you want it to go in a circle. The water pushes against the bottom of the bucket as you hold on to prevent it from flying away. The water pushes more forcefully against the bottom of the pail as you swing higher and higher. However, gravity tries to remove the water from the bucket when you turn it upside down. Ultimately, whichever force—gravity or centripetal—is stronger wins. The water will remain in the pail as long as you swing the bucket quickly enough for centripetal force—the force of the water pressing against the bottom of the bucket—to outweigh gravity.
Hence, the correct answer is True.
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what is the approximate numerical value of the slope of the lineweaver-burk plot of these kinetic data?
Using the theories of lineweaver-burk, we got that 0.05 as the approximate numerical value of the slope of the lineweaver-burk plot of these kinetic data.
The Lineweaver–Burk plot is correct when enzyme kinetics obey ideal second-order kinetics, however the non-linear regression is needed for systems that do not behave ideally. The double reciprocal plot distorts error structure of the data, and is therefore not most accurate tool for the determination of the enzyme kinetic parameters
Slope is equal to Km/Vmax
Km is half of Vmax
Vmax is 200 um/min, so Km is found at 100 um/min. At 100 um/min ,we know that the substrate concentration is 10 um. Thus, the Km is 10 um, which is equivalent to 10/200= 0.05
Hence, the approximate numerical value of the slope of the lineweaver-burk plot of these kinetic data is 0.05
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HELP HELP HELP I NEED HELP QUICK PLEASE
What is KE and PE? Please explain me in detail
An ant travels 50.0 cm East, then turns 35 degrees North of East and moves for 40.0 cm. It then turns and moves another 30 cm North. What is the ant's total displacement (magnitude and direction)?
Please help :) I will also post questions similar to this so if you know how to solve them go ahead and look :)
The magnitude of ant's total displacement is 96.23 cm in a direction 41 degrees North of East.
What is the total displacement of the ant?The total displacement of the is obtained by resolving the displacement of the ant into x and y components as shown below.
horizontal displacement (x) = d cosθ
vertical displacement (y) = d sinθ
where;
θ is the direction of the displacementd is the magnitude of the displacementFirst displacement at 50 cm East; (θ = 0⁰)
x = 50 cm x cos(0) = 50 cm
y = 50 cm x sin(0) = 0
second displacement at 40 cm at 35 degrees North of East;
(θ = 90⁰ - 35⁰ = 55⁰)
x = 40 cm x cos(55) = 22.94 cm
y = 40 cm x sin(55) = 32.77 cm
third displacement at 30 cm North; (θ = 90⁰)
x = 30 cm x cos(90) = 0
y = 30 cm x sin(90) = 30 cm
Net horizontal displacement;
∑x = 50 cm + 22.94 cm + 0 = 72.94 cm
Net vertical displacement;
∑y = 0cm + 32.77 cm + 30 cm = 62.77 cm
The total displacement is calculated as;
D = √[ (∑x)² + (∑y)² ]
D = √[ (72.94)² + (62.77)² ]
D = 96.23 cm
The direction of the total displacement;
θ = arc tan (Σy/Σx)
θ = arc tan (62.77/72.94)
θ = 40.7⁰ ≈ 41⁰
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