The efficiency of the lever will be 62%
What is Efficiency?Efficiency is the ratio of the work performed by a machine to the total energy expended or heat consumed.
Efficiency refers to how close we can get to a particular outcome of the given input with as much less wastage as possible. Efficiency is the ability to minimise wasting materials, efforts, energy and time in performing something or producing the desired result.
The ratio of energy transferred to a useful form compared to the total energy supplied initially is called the efficiency of the device.
Efficiency (%) = (work output/work input) x 100%
work output = mgh
work input = 10,000J
Efficiency (%) = (35 x 18 x 9.8/10,000) x 100
Efficiency (%) = 0.62 x 100
Efficiency (%) = 62%
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Jane is observing the milky way thanks to the fact that it is a very clear, dark night. However, she feels like she can only see a very small part of it and wants to see the entire galaxy. Why is this impossible?.
Due to her location within it, this is not possible. It can only be seen if the sky is clear and there is little to no light pollution, and as a result, environmental changes occur.
What is meant by Milky way ?The Milky Way is crammed with anything between 100 billion and 400 billion more stars, many of which have their own planets. The Milky Way is so named because it appears from Earth like a streak of milk that has been spilled across the sky.
A galaxy is a sizable group of stars gathered in one place in the universe. The Milky Way galaxy, which contains the sun, Earth, and seven other planets, is where our solar system is located. Similar to our sun, the Milky Way is home to hundreds of billions of stars.
The Milky Way makes it possible to examine a medium-sized spiral galaxy's functioning in great detail.
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compare and contrast a current through a circuit with a static discharge. true or false: for the circuit, the charge travels through a wire. for a static discharge, the charge is transferred from one object to another.
Electrons flow continuously through a circuit when current is present.
A static discharge is a very quick, irregular transfer of charge.
Static discharge is the abrupt movement of electrons from one charged object to another.
Static discharge is the abrupt passage of electrons. The spark you see and the jolt you experience are both caused by an electron discharge.
For the circuit, the charge travels through a wire.-True
For a static discharge, the charge is transferred from one object to another.-True
What is charge?The basic unit of electricity is charge (or, more precisely, electric charge).
Everything in electricity is a charge.
The physical characteristic of matter that causes it to feel a force when exposed to an electromagnetic field is called electric charge. The two types of electric charges that protons and electrons most frequently carry are positive and negative charges.
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The half-life of potassium-42 is approximately 12 hours. How long will it take for the radiation level of potassium-42 to drop to 1/16 of its original level?.
it take for the radiation level of potassium-42 to drop to 1/16 of its original level is 48 hours.
Which are the 4 different forms of radiation?Radiation can be divided into four main categories: alpha, beta, neutrons, and electromagnetic waves like gamma rays.The mass, intensity, and depth to which they pierce persons and things varies between them.
A beta particle is the first.Although they can exceed 50 mSv/yr, they normally fall between 1.5 and 3.5 millisievert per year.
Which radiation type is the most deadly?The worst external risk is gamma radiation.Beta burns can occur when beta particles partially penetrate the skin.Alpha rays can't go through skin that is still intact.The cells in their route can be damaged by gamma and x-rays that travel through a person.
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A model for circuits Part 1: Current and resistance C. Light a bulb using a battery and a single wire. Observe and record the behavior (ie., brightness) of the bulb when objects made out of various materials are inserted into the circuit. (Try materials such as paper, coins, pencil lead, eraser. your finger, etc.) What is similar about most of the objects that let the bulb light?
Similarity which leads about most of the object to let the bulb light is their conducting materials.
The behaviour (ie., brightness) of the bulb when objects made out of various materials are inserted into the circuit is as-
The bulb glows when connected to conducting object but it does not glow when some objects like eraser, wood, plastic etc. are used to complete the circuit as it is the non-conducting objects.
Paper is a non-conducting object.
Coins are normally made up of silver, gold and metal alloys and we know all metals conduct electricity.
Pencil lead is made up of graphite which is non-metal still it conducts electricity as graphite contains delocalised electron (free electrons). These electrons can move through the graphite, carrying charge from place to place and allowing graphite to conduct electricity.
Human fingers are conductors as whole body of a human is an excellent conductor of electricity. This reply on the fact that our fingers is 3 parts salty water - which means it's got lots of loose electric charges floating around in it.
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(a) Calculate the ratio of the highest to lowest frequencies of electromagnetic waves the eye can see, given the wavelength range of visible light is from 380 to 760 nm. (b) Compare this with the ratio of highest to lowest frequencies the ear can hear.
The ratio of the highest to lowest frequencies of electromagnetic waves the eye can see is 2. The ratio of highest/lowest sounds is 1,000
Define wave frequency.
Wave frequency is the quantity of waves passing a particular place in a predetermined period of time. The hertz (Hz) unit of wave frequency in the SI stands for one wave crossing a fixed point in one second.
a). frequency = (speed) / (wavelength)
The speed of light is around 3 x 10⁸ m/s.
For 380 nm (violet light), frequency = (3 x 10⁸ m/s) / (380 x 10⁻⁹ m)
Frequency = 7.89 x 10¹⁴ Hz
For 760 nm (red light), frequency = (3 x 10⁸ m/s) / (760 x 10⁻⁹/s)
Frequency = 3.94 x 10¹⁴ Hz
Required ratio is 7.89 x 10¹⁴ Hz/ 3.94 x 10¹⁴ Hz
That is equal to 2 .
That's 1 octave, or 0.3 of a decade.
b). The ratio of highest/lowest sounds
highest sound frequency is 20,000 Hz
lowest sound frequency is 20 Hz
Required ratio is 20000/20 i.e. 1000
That's 3 decades, or about 10 octaves.
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a baseball is hit with a horizontal speed of 16 m/s and a vertical speed of 18 m/s upward. what are these speeds 4 s later?
These speeds 4 s later is -20 m/s.
What is Acceleration due to Gravity?
The acceleration due to gravity would affect the radial component of an object at the surface of the earth. This would seem to us that the gravitational force acting on us on a vertical axis. This means that gravity would not affect any horizontal movement.
Determine the horizontal and vertical speeds, [tex]$v_x$[/tex] and [tex]$v_y$[/tex], of the baseball after t=4 seconds. We only recognize gravity as the force acting on the object, acting only on the vertical component. This means that the horizontal speed remains the same, such that
[tex]$$v_x=16 \mathrm{~m} / \mathrm{s}$$[/tex]
Now, we determine the vertical speed after the given time, t, by applying the kinematic equation,
[tex]$$v_y=v_{0 y}-g t$$[/tex]
where[tex]$g=9.81 \mathrm{~m} / \mathrm{s}^2$[/tex] is the acceleration due to gravity and t is the time. We proceed with the solution.
[tex]$$\begin{aligned}v_y & =v_{0 y}-g t \\& =18 \mathrm{~m} / \mathrm{s}-\left(9.81 \mathrm{~m} / \mathrm{s}^2\right)(4 \mathrm{~s}) \\& \approx-20 . \mathrm{m} / \mathrm{s}\end{aligned}$$[/tex]
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A student set up a test tube containing sodium bicarbonate and topped it with a volumeter, but forgot to add the Elodea plant! Which of the statements below gives the result that the student would be likely to observe?
A. The level of liquid in the volumeter would rise due to diffusion.
B. The level of liquid in the volumeter would remain constant since gas is being produced and used at the same rate.
C. The level of the liquid in the volumeter would remain constant since gas is neither being produced nor being used.
D. The level of liquid in the volumeter would fall since there is less mass in the test tube.
E. The level of liquid in the volumeter would fall since atmospheric pressure is greater than the pressure within the test tube.
The student would most likely observe the result that C. The level of the liquid in the volumeter would remain constant since gas is neither being produced nor being used.
Volumeter can be described as any instrument that is employed for measuring the volume of a solid, liquid, or gas.
Sodium bicarbonate when dissolved in water forms sodium hydroxide and carbonic acid. This carbonic acid breaks down further to form water and carbon dioxide gas.
The carbon dioxide produced can be used by the Elodea plant for photosynthesis which is a process in which carbon dioxide is used up to create oxygen and energy.
However, as the Elodea plant was not added in this case therefore the level of the liquid in the volumeter would remain constant since sodium bicarbonate is neither being produced nor being used up for photosynthesis.
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(a) at what angle is the first minimum for 550-nm light falling on a single slit of width 1.00μm1.00μm ? (b) will there be a second minimum?
The required angled is[tex]$\theta=33.4^{\circ}$[/tex].
What is angle is the first minimum?
The first minimum is going to be theta one is the inverse sine of one times 550 times ten to the minus nine meters divided by one times ten to the minus six meters giving an angle of 33.4 degrees
[tex]\begin{aligned}& \lambda=550 \mathrm{~nm} \\& D=1.00 \mathrm{~nm}\end{aligned}[/tex]
[tex]D \sin \theta=m \lambda, m=1,-1,2,-2, \ldots$$[/tex]
a) [tex]$\theta=\sin ^{-1}\left(\frac{m \lambda}{D}\right)$[/tex]
[tex]\theta_1=\sin ^{-1}\left(\frac{(1)\left(550 \times 10^{-9} \mathrm{~m}\right)}{1.00 \times 10^{-6} \mathrm{~m}}\right)=33.4^{\circ}[/tex]
b)The value of sine function can never be greater than 1, so second minimum does not exists for given wavelength of light and width of slit.
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Which scale would most likely be used to tell how much earthquake damage was done.
The Mercalli scale would most likely be used to tell how much earthquake damage was done to homes and other buildings.
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for a spring oscillator of mass 1.5\;\mathrm{kg}1.5kg, spring constant 0.5\;\mathrm{n/m}0.5n/m and amplitude 0.5\;\mathrm{m}0.5m, what is the block’s speed when the spring’s displacement is 0.25\;\mathrm{m}0.25m?
0.25 m/sec is the block’s speed when the spring’s displacement is 0.25m.
What is simple harmonic motion?Simple harmonic motion is described as the periodic motion of a point down a straight line, with the acceleration of the point's motion constantly accelerating in the direction of a fixed point along the line and being proportional to the distance from the fixed point.
Spring-mass system is an example of simple harmonic motion.
Therefore, velocity or speed V is given by,
V = w [tex]\sqrt{A^2 - x^2}[/tex]
Where, A = amplitude
x = displacement
w = angular frequency
Now, w = [tex]\sqrt{k/m}[/tex]
Where, k = spring constant
m = mass
So, w = [tex]\sqrt{0.5/1.5}[/tex]
w = 0.577
w = 0.58
Therefore, velocity, V = [tex]0.58 \sqrt{(0.5)^2 - (0.25)^2}[/tex]
V = 0.58 × 0.433
V = 0.25 m/sec
So, the speed becomes 0.25 m/sec
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establish an order-of-magnitude criterion which shows in what range of radius the flow may be regarded as inertia-free. express your criterion in terms of q and h together with any other necessary quantities
The standard way to express an order of magnitude is as 10 to the nth power where q/h is 0.01.
An order of magnitude is an exponential change of plus or minus 1 in the value of a quantity or unit. The term is generally used in conjunction with power-of-10 scientific notation. Order of magnitude is used to make the size of numbers and measurements of things more intuitive and understandable.
The order of magnitude is the power of 10 a number is raised to when it's in scientific notation. For example, the order of magnitude for 19,400 would be 4. This is because when we convert it into scientific notation, 1.94×104, the 10 is being raised to the 4th power.
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a circuit is constructed with four resistors, one capacitor, one battery and a switch as shown. the values for the resistors are: r1
The current flowing through the resistors is 0.229 A
What is a resistor ?A resistor is an electrical component that controls or restricts how much electrical current can pass across a circuit in an electronic device.
A specified voltage can be supplied via resistors to an active device like a transistor.
An electrical component with two terminals that provides electrical resistance is called a resistor.
Resistors are frequently used in electronic circuits to reduce current flow, divide voltages, block transmission signals, and bias active elements.
Given; The value of the resistors are :
R1 = 41 ohm
R2 = 41 ohm
R3 = 71 ohm
R4 = 64 ohm
V = 24 V
At t = 0 sec when there is no flow of current through resistors R2 and R3
therefore the equivalent resistance is = R1 + R4
Thus V = I * R
24/ 41 + 64 = I
I = 0.229 A
thus the current flowing through the resistors is 0.229 A
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a 0.500 kg copper cup is at 280 o k. if 2.5 x 104 j of energy is added to it, what is the final temperature in o k? the specific heat of copper is 387 j kg-1 oc-1 .
The final temperature of the copper cup is found to be 409.19° K.
The mass of the copper cup is 0.500 Kg and it is at a temperature of 280°K.
A total of 2.5 x 10⁴ J of energy is added to the system.
The final temperature of the system is let us say T.
Now, the change in energy will be given by,
∆Q = mC∆T
Where,
C is the specific capacity of copper.
Putting values,
2.5 x 10⁴ = 0.5 x 387 x(T - 280°)
T = 409.19°K.
So, the final temperature of the copper cup is 409.19°K.
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what is the change in internal energy (in j) of a system that releases 550 j of thermal energy to its surroundings and has 92 cal of work done on it?
The internal energy of a system is 1542.52 J.
What is internal energy?
The internal energy of a thermodynamic system is the total energy contained within it. It is the energy necessary to create or prepare the system in its given internal state and includes the contributions of potential energy and internal kinetic energy.
First we convert calories into joules, 530 calories =530 calories × 4.184 = 2217.52 J
Formula, ΔE = q + w
Here, the system releases heat, so q is negative
Therefore, ΔE = -q + w
Now, put the values of q and w
ΔE = -675 + 2217.52 J
ΔE = 1542.52 J
Internal energy is the sum of ability power of the gadget and the machine's kinetic strength. The alternate in internal energy (ΔU) of a response is equal to the heat gained or lost (enthalpy trade) in a reaction whilst the reaction is administered at steady pressure. inside the study of thermodynamics, a usually perfect gasoline is taken into consideration as a running substance. The molecules of an ideal gasoline are mere mass points that exert no force on each other.
The SI derived unit used to degree strength or paintings. One joule is identical to the electricity used to accelerate a body with a mass of 1 kilogram using one newton of force over a distance of one meter. One joule is also equal to one watt-second.
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To make the pattern bigger and easier to see, should you move the slide closer tothe screen or closer to the laser? Explain. Be sure to comment on what variableschange (e.g. wavelength, angles to the minima, distance to the screen, position ofthe minima, etc.)
So moving the slit towards the laser will increase the slit and screen distance and the screen and the fringe will be bigger. The other factors such as the angle of diffraction, and wavelength will remain unaltered in this case.
What is Diffraction?
In order to enter the region of the geometric shadow cast by the obstruction or aperture, waves must interact with one another or bend around its edges, which is referred to as diffraction. A secondary source of the wave that is propagating is in fact created by the diffracting item or aperture.
What is Fringe?
The band of alternating light and dark material called a fringe is produced via interference.
The formula is used to calculate the fringe width
β=λDd
Where β represents the bandwidth, λ represents the wavelength of the light, D represents the distance between the source and the screen, d represents the distance between the two slits
Hence, moving the slit towards the laser will increase the slit and screen distance and the screen and the fringe will be bigger. The other factors such as the angle of diffraction, and wavelength will remain unaltered in this case.
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6. A fossil contains 50 % of the carbon-14 it once had as a living creature. Use the half-life decay equation
to determine when the creature died. The half-life of carbon-14 is 5730 years.
The creature died 5730 year ago by using the half-life decay equation.
What is half life decay equation?Half life decay equation is defined as a characteristic unit for the exponential decay equation and remains constant over the course of an exponentially decaying quantity. The appropriate metrics for defining the life of decaying material are provided by the half-life formula.
The half life decay equation is
N = N₀ ( 1/2 ) t/t ¹/²
Let N = t/t ¹/²
So , N / N₀ = 1 / 2ⁿ
N₀ / N = 2ⁿ
N₀ / 0.50 N₀ = 2ⁿ
2ⁿ = 1 / 0.50
2ⁿ = nlog2
2ⁿ = log 1 - log 0.50
2ⁿ = 0 -( - 0.301 )
2ⁿ = 0.301
n = 0.301 / log 2
n = 0.301 / 0.301
n = 1
t1/2 = 5730
t = n x t1/2
t = 1 x 5730
t = 5730 years.
Thus, the creature died 5730 years ago by using the half-life decay equation.
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It’s science but I hope u know this
The statement that is correct is that all the carbon atoms in the glucose would end up in the palmitic acid. Option C.
What is a model?In science a model is used for the purpose of explanation. The model could be used to describe what is going on in the reaction system. We can see from the model that there is a combination of the molecule of glucose with the molecule of oxygen in the molecule.
Now, we can see that the bonds in the glucose that are carbon to carbon bonds are broken and then recombined in such a way that they now lead to the formation of the palmitic acid molecule.
By the law of the conservation of mass, the number of atoms of the reactant is equal to the number of atoms in the product. This would play out as we carry out an atom count of the reactants and the products.
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Accenture is one of several hundred companies that has signed on to the united nations global compact (ungc) business ambition pledge. what is the goal of this pledge? to donate to charity in exchange for exemption from regulations to keep global warming below a 1. 5 celsius increase from pre-industrial levels to reverse all effects of global warming within the next decade to switch entirely to solar power at all office locations worldwide i don't know this yet
The target temperature increase from pre-industrial levels is to keep global warming below 1.5 degrees Celsius.
Explain points about global warming ?The business also took part by signing the UN Global Compact Business Ambition for the 1.5° Pledge, which was signed by 1,100 companies.
They have sworn to uphold the Paris Climate Agreement and do our part to keep global warming below 1.5° Celsius.
They are dedicated to reducing emissions to zero.
Additionally, they emphasize neutrality by outlining the process of balancing their carbon emissions.
The warming of Earth's surface over time, seen since the pre-industrial era (between 1850 and 1900), is referred to as global warming.
This warming is a result of human activities, particularly the burning of fossil fuels, which raises the levels of heat-trapping greenhouse gases in the atmosphere. 'Climate change' should not be used in place of this phrase.
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a noisy machine in a factory produces a decibel rating of 76 db. how many identical machines could you add to the factory without exceeding the 85 db limit?
The factory without exceeding the 85 dB limit n =10.
A factory is described as a building, or a group of buildings wherein goods are synthetic via a system. however, the industry is defined as the branch of economics wherein raw substances, goods, and offerings are produced.
The sound level in decibels is
β dB = 10 log ( I / Io )
where I am the intensity of sound
It is the relative intensity
80 = 10 log ( I / 10-12 )
8 = log ( I / 10-12 )
10 8 = I / 10-12
I = 10 8 . 10 -12 = 10 -4 W /m2
if the sound level is 90 dB, the number of identical machines is n.
90 = 10 log ( n I / Io )
= 10 logs ( n . 10-4 / 10 -12 )
9 = log ( n . 108 )
10 9 = n. 10 8
n = 10.
so n =10 .
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on the strange planet, zorgg, you weigh 1283 n. what will you weigh on the even stranger planet, quoozeptinaletina, that is 226 times more massive than zorgg and has a radius 17.1 times larger?
The weight on the even stranger planet, quoozeptinaletina, that is 226 times more massive than zorgg and has a radius 17.1 times larger will be
991.759N
In science and engineering, the weight of an object is the same as the force that acts on the object because of the gravity. Some books define weight as a vector quantity, some as the gravitational force acting on the object, and others define as a scalar quantity, the magnitude of the gravitational force.
Weight -> F = m * g
m = mass of object (constant for non relativistic speed)
F = Force
g = Gm / R^2
where
m = mass of planet
R = radius of planet
G = gravitational constant
at Zorgg planet, Fz = 1283N = m* gz,
gz = G*Mz / Rz^2
at Quoozeptinaletina,
Rq = 17.1Rz
Mq = 226Mz
Fq = m*gq
gq = G * Mq / Rq^2
226GMz / 17.1^2 Rz^2
gq = 226 / 17.1^2 gz
Fq = 226 / 17.1^2 Fz
= 0.773Fz
= 0.773 * 1283N
= 991.759N
Therefore, your weight at planet quoozeptinaletina is 991.759N
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determine the number of conducting electrons per cubic meter for copper, given that its electron mobility is 3 × 10-3 m2/v-s.
Given that copper's electron mobility is 3 10-3 m2/v-s, there are 1.20 × 10⁷ conducting electrons per cubic meter in copper.
What is electron mobility?The mobility of holes and electrons in semiconductors and metals is the subject of this essay. See Electrical mobility for a broad explanation. The electron mobility in solid-state physics refers to how quickly an electron may move through with a metal or semiconductors when being drawn by an electric field. Hole mobility is the corresponding quantity for holes. Both electron / hole mobility are collectively referred to as carrier mobility. The electrical mobility if charge particles in a fluid under such an applied electric field includes electron / hole mobility as specific examples.
How do you calculate electron mobility?The equation =VdE allows us to mathematically demonstrate electron mobility. The SI symbol for electron mobility when subject to an external electric field is m2V1s1. We can see that [M1T2A] is its dimensional form when the SI unit's dimensions are calculated.
Briefing:resistivity of the copper (p) = 1.73 × 10⁸ Ωm
η = σ/μe
Here, σ = electrical conductivity
σ = 1/ρ
e = charge on electrons = 1.6 × 10⁻¹⁹
μ = mobilty of electrons
n = σ/μe
n = 1/ρμe
n = 1/8.304 × 10⁻⁸
n = 10⁸/8.304
n = 1.20 × 10⁷ electrons/ m³
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a 4 kg ball is attached to a 1.5 m long string and whirled in a horizontal circle at a constant speed 5 m/s. how much work is done on the ball during one period? quizziz
The work done on the ball during one period is 66.67 J.
What is acceleration?
The rate at which the speed and direction of a moving object change over time. A point or object moving straight ahead is accelerated when it accelerates or decelerates. Even though the speed is constant, motion on a circle accelerates because the direction is constantly shifting. Both effects contribute to a acceleration for all other motions. Acceleration is a vector quantity because it has both a greater acceleration. A vector quantity is also velocity. The velocity vector change over a time interval divided by time interval is the definition of acceleration.
The amount of work done on the ball during one period is equal to the force times the distance traveled, which is equal to the mass times the centripetal acceleration times the distance traveled. Thus, the work done on the ball during one period is equal to 4 kg x (5 m/s)2 / 1.5 m = 66.67 J.
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A grinding wheel is a uniform cylinder with a radius of
8.50 cm and a mass of 0.380 kg. Calculate (a) its moment of
inertia about its center, and (b) the applied torque needed
to accelerate it from rest to 1750 rpm in 5.00 s. Take into
account a frictional torque that has been measured to slow
down the wheel from 1500 rpm to rest in 55.0 s
The total torque required to accelerate the wheel is 0.054 Nm.
What is the moment of inertia of the uniform cylinder?
The moment of inertia of the uniform cylinder is calculated by applying the following formula.
I = ¹/₂MR²
where;
M is the mass of the grinding wheel or uniform cylinder R is the radius of the grinding wheel or uniform cylinderI = ¹/₂(0.38)(0.085)²
I = 1.37 x 10⁻³ kgm²
The angular acceleration of the grinding wheel or uniform cylinder is calculated as follows;
α = ω/t
where;
ω is the angular speedω = 1750 rev/min x 2π rad/rev x 1 min / 60 s = 183.26 rad/s
α = (183.26 rad/s) / (5s)
α = 36.65 rad/s²
The torque required to accelerate;
τ = Iα
τ = (1.37 x 10⁻³ kgm²) x (36.65 rad/s²)
τ = 0.05 Nm
The frictional torque that is slowing down the wheel;
ω = 1500 rev/min x 2π rad/rev x 1 min / 60 s = 157.1 rad/s
α = (157.1 rad/s) / (55 s)
α = 2.86 rad/s²
τ = Iα
τ = (1.37 x 10⁻³ kgm²) x (2.86 rad/s²)
τ = 0.004 Nm
The total torque required to accelerate the wheel is calculated as;
τ(total) = 0.05 Nm + 0.004 Nm
τ(total) = 0.054 Nm
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for what values of the position does the kinetic energy equal one-half the potential energy? (use any variable or symbol stated above as necessary.)
A body is free falling from height h now at the middle that is at h/2 the body's K.E. = P.E
What is kinetic energy?
An object's kinetic energy is the energy it has as a result of motion. Applying force is necessary if we want to accelerate an object. We have to put in work to apply force. After the work is finished, the object will be moving at a new, constant speed because energy has been transferred to it.
There are only two cases in this phenomenon to occur:-
Case 1 - Something is tossed upward
When is the change in kinetic energy equal to the change in potential energy for an object thrown upward at some beginning velocity v0? The total amount of kinetic and potential energy is constant due to energy conservation. We want to know when the kinetic energy has decreased by half because we define our potential energy as zero at the launch point.
Case 2 - Simple harmonic oscillator
A restoring force proportionate to the displacement of the mass from equilibrium distinguishes a simple harmonic oscillator (such as a mass on a spring) from other oscillators:
F=− kx
This equation's solution yields the position as x=Acos(ωt+Ф), where A denotes the oscillation's amplitude, frequency, and phase. The frequency is expressed as Ф= [tex]\sqrt{k/m}[/tex]. The derivatives of the location can be used to calculate the oscillator's velocity and acceleration, which are both sinusoidal functions.
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light from a helium-neon laser with a wavelength of 633 nm is incident upon a 0.200-mm wide slit. what is the total width of the central maximum 2.00 m from the slit? question 5 options:
The total width of the central maximum be 1.266 cm.
How do you find the width of central maximum in the diffraction ?Just the distance between the first order minima on either side of the screen's centre make up the width of the central maximum.Since the central fringe ends at the first minimum on both sides, the width of it can be determined by solving the equation for destructive interference for y using the constant m=1.Astronomy has made significant progress thanks to the field of study of diffraction, which helped in the creation of precise spectrometers. This was possible in the early 1800s, when two esteemed scientists, one in Italy and the other in Germany, were engaged in life-or-death battles. These two illiterate children were nonetheless attempting to pursue an education.Given data :
wavelength of light = 633 nmwide of the slit = 0.200 mm.distance of the central maximum = 2.00 mSo, the total width of the central maximum = 2λD/a
= ( 2 × 633 nm × 2.00 m)/ 0.200 mm.
= 0.01266 m = 1.266 cm.
Hence, the total width of the central maximum be 1.266 cm.
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an object is traveling with a constant velocity with no unbalanced forces acting upon it. what do we expect this object to do?
We anticipate that this item will shift direction while maintaining its current speed.
Explain about the constant velocity?An object has constant velocity when the magnitude and direction of the rate at which its position is changing remain unchanged. In other words an item must have a constant speed throughout time in addition to a constant direction of motion in order to have a constant velocity.
The units of distance per time are constant velocity. The velocity informs you of the rate of change in your position or the rate of change in distance over time.
Newton's first law states that unless acted upon by a net external force, an object at rest will remain at rest and an object in motion will continue to move at a constant speed.
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what is the diameter of the stream 0.210 m below the faucet? neglect any effects due to surface tension.
Water Emerges Straight Down From A 1.50 Cm Diameter Faucet At A Speed Of 0.800 M/S has a 0.210 m below the faucet diameter of -0.918cm.
The speed of an object, also known as v in kinematics, is a scalar quantity that refers to the size of the change in that object's position over time or the size of the change in that object's position per unit of time. The distance travelled by an object in a time interval divided by the length of the interval gives the average speed of the object during that interval. A circle's diameter is defined as the distance between its opposing edges. Learn the diameter formulas and the connections between related metrics that are very significant.
H = (q/pi*v)^1/2
h = (141.37*10^-6/pi*2.1359
= 4.5905*10^-3m
d = 2h = 9.181*10^-3m
d = -0.918cm
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The complete question is -
Water emerges straight down from a 1.50 cm diameter faucet at a speed of 0.800 m/s. (Because of the construction of the faucet, there is no variation in speed across the stream. What is the diameter of the stream 0.200 m below the faucet? Neglect any effects due to surface tension.
a spiral staircase in a building is in the shape of a helix of a radius 7 meters. between two floors of the building, the stairs make on full revolution and climb by 3 meters. a person carries a bag of groceries up two floors. the combined mass of the person and the groceries is 64 kg and the gravitational force is 64g downward, where g
The gravity of earth attracts all objects towards earth. If we throw a ball, and it comes back on earth it's because of gravity. But, if we pick up the ball again then we are doing a work against gravity. Hence, this is what is meant by work against gravity.
How to find work against gravity if we know the mass of the object and height at which it is thrown?
Work done against gravity is given by,
W = Fg×d×cos theta
here, Fg = force of gravity = weight = m*g
m = mass = 70 kg
g = 9.8 m/s^2
d = displacement = height = 2*4 = 8m
Cos theta = angle between force and displacement = 180 deg
So, W = 70*9.8*8*cos 180 deg
W = -5488 J
Thus work against gravity is -5488J
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The answer to the provided problem is -5017J, which indicates the person's effort against gravity.
What makes it gravitational force?Any two mass-containing objects are pushed to one another by the gravitational pull. Because it consistently attempts to bring masses together rather than pushing them apart, this centrifugal force is known as attractive.
Briefing:The amount of resistance to gravity that the individual puts out is equal to the variation in gravitational potential.
Therefore we can write:
W = mgΔh
where
The total mass of the person plus the groceries is m.
Gravitational acceleration, abbreviated g,
Δh is the change in height
In this problem we have:
The total mass of the guy and the goods is m = 64 kg.
g = 9.8m/s² is the speed due to gravity
Since the guy descended two levels, each of which is three meters, Δh = –6m.
Consequently, the effort made to defy gravity is
W = 64 * (9.8) * (-8) = -5017J
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The complete question is-
A spiral staircase in a building is in the shape of a helix of radius 7 meters. Between two floors of the building, the stairs make one full revolution and climb by 3 meters. A person carries a bag of groceries up two floors. The combined mass of the person and the groceries is 64 kg. Calculate the work done by the person against gravity.
A rescue helicopter lifts two people using a winch and a rescue ring. The mas of the two people is 120 kg. The winch is capable of
The maximum mass that a helicopter winch can lift is 204 kg.
In order to maximize the effectiveness and safety of winching operations, the winch is mounted on the aircraft's side facing the pilot. The winch cable is 90 meters long, and it can handle a maximum load of 600 pounds or 272 kilograms.
Winches have a 2000 N lifting capacity. The formula W = mg, which equals weight in newtons, mass in kilograms, and gravity's acceleration in meters per second squared, or 9.8 m/s2, can be used to convert it to mass.
W = mg
2000 N = m * 9.8 m/s^2
m = 2000 N / 9.8 m/s^2
m = 204 kg
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The full question is
A rescue helicopter lifts two people using a winch and a rescue ring. The mas of the two people is 120 kg. The winch is capable ofexerting a 2000-N force. What is the maximum mass it can lift?
why do most alpha particles fired through a piece of gold foil emerge almost undeflected, and why do others bounce backward?
The majority of alpha particles were found to pass directly through gold foil, suggesting free space makes the majority of atoms. Due to interactions with other + charged molecules inside atom are slightly deflected.
Why do alpha rays that strike the nucleus bounce back?The majority of a alpha particles were absorbed without being rejected by positively particles (protons) inside the nucleus, although some of them rebounded back. Positive attracts positive and vice versa.
Why did the majority of alpha particles pass through the foil unimpeded?The majority of alpha particles passing right through to the foil is proof that the atom is primarily made up of empty space. There is an concentration of alpha particles since only a limited number of them were deflected at great angles The atom has a positive charge.
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