The spring with the spring constant 40 N/m has the shortest period when attached to a 100gm mass.
We know the expression for time period as,
T = 2π√(m/k)
From the above expression, it is clear that, Time period T is inversely proportional to √k.
T ∝ 1/√k
where, k is spring constant
So, T value will be smaller if the k value is the greatest.
Given that, Mass of the spring = 100 gm = 100/1000 = 0.1 kg
Now, let us substitute k value and find out T value.
Let k = 40 N/m, T = 2π√(0.1/40) = 2π* 0.05 = 0.1* π = 0.314 s
Let k = 10 N/m, T = 2π√(0.1/10) = 2π* 0.1 = 0.2* π = 0.628 s
Thus, for the spring constant k = 40 N/m, we get the shortest period.
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14C is produced in the upper atmosphere by cosmic rays. Living organisms uptake 14C. Assume we isolate the same quantity of 14C from a 1000 year old fossil and from a recently harvested tomato. We monitor the decay of these quantities.
A. The carbon islated from the tomato plant will have more decays per second that the carbon isolated from the fossil
B. The two samples will have approximately the same number of decays per second.
C. The carbon isolated from the fossil will have more decays per second that the carbon isolated from the tomato plant.
D. It is impossible to compare the decay rates, since nuclear decay is a random process.
The average decay rate for the two samples will be about the same.
The correct option is B.
What happens if cosmic rays hit the Earth?Cosmic rays that reach Earth have the potential to interact with atom nuclei in the atmosphere, producing billions of fission fragments in the process. Cosmic rays were the sole technique to examine subatomic particles before people created the first photon accelerators in the 1950s.
What examples of cosmic rays?HZE ions are the name for these high-mass, high-charged particles. Numerous sources produce primary cosmic rays. They may originate from sunspots or solar explosions, for instance. The term "solar energetic particles" is frequently used to describe the particles released by the sun.
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creep i. is the plastic deformation of a material under a stress. ii. is the time dependent degradation of material. iii. is a measure of the amount of energy a material can absorb. iv. is the fracture of material under cyclic stress.
The plastic deformation of a material under a stress is the permanent deformation.
Plastic deformation is the permanent deformation of a material that occurs when the material is subjected to a stress that is above its yield strength. When a material undergoes plastic deformation, the bonds between the atoms or molecules that make up the material are broken and reformed in a new configuration, resulting in a permanent change in the shape of the material.
Plastic deformation can occur in a variety of materials, including metals, plastics, and ceramics. It is typically characterized by a decrease in the strength and an increase in the ductility of the material, as the material becomes more pliable and able to undergo significant deformation without breaking. The amount of plastic deformation that a material can undergo depends on a variety of factors, including the material's yield strength, the type of stress it is subjected to, and the duration of the stress. Some materials, such as steel, are able to undergo significant plastic deformation before breaking, while other materials, such as glass, are prone to brittle failure and can undergo little or no plastic deformation before breaking.
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which of the following are advantages of deformation processes compared to other metal manufacturing processes? [select all that apply]
The advantages of deformation processes are surface qualities, strength, and durability. Cold processing of metals has numerous advantages.
In cold settings, metals are distorted to achieve the desired forms. Cold processing of metals has numerous advantages.
The most significant advantage of cold working is the absence of the need for heating equipment and heat energy to raise the temperature of the metal. This is a highly valuable advantage of cold-working metals over heat-working processes.
Because the dimensions do not vary as the temperature rises, greater surface qualities, and dimensional tolerances can be produced.
Because of grain flow, when metal parts are deformed at high temperatures, the desired mechanical characteristics can be acquired in the desired directions.
The strain-hardening phenomenon occurs during the cold deformation of metal parts, resulting in increased strength.
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The current in one part of a series circuit is 5 - 3f amps. The current in another part of the circuit is 7 + 9j amps. Add these complex numbers to find the total current in the circuit.
The overall current in the circuit, according to the stated assertion, is 12 -2f + 9j.
What does current in electrical terms mean?When describing however much electricity flows through a connection and how it moves in an electronic circuit, the phrase "electric current" is often employed. It is measured in amperes (A). The ampere number rises as more electricity flows through the circuit.
Briefing:
Since all current in a series circuit travels in the same direction.
We can evaluate the total current that flows in the circuit as follows;
Total current = 1st part current + 2nd part current
Total current =5 – 2f + 7 + 9j
Total amps = 12 –2f + 9j.
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Kenneth is football player who lifts weights to build his strength for games. He begins drinking with his friends. At first it's only sometimes, but soon he
does this every weekend and sometimes during the week. His sister Margaret wants to get him to quit. What area would be BEST for Margaret to
focus on to convince Kenneth to quit drinking?
A aerobic fitness
B mental stimulation
C muscle development
D heart health
The mental stimulation area would be BEST for Margaret to focus on to convince Kenneth to quit bad habit.
What is mental stimulation?Mental activity plays a significant role in every stage of life, from birth to death. There are numerous benefits of mental stimulation, including those that are protective, emotional, physical, psychological, and neurological.
Anything that stimulates, activates, or enriches the mind is said to be engaging the mind or stimulating the nervous system. Thoughts can offer internal stimulation, while the environment might provide external stimulation. Education, employment, social interaction, and leisure activities are all significant sources of mental stimulation.
Hence, Margaret should concentrate on increasing Kenneth's mental stimulation in order to persuade him to change his bad habit.
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A teacher wants to determine how well students can discuss ways in which related concepts differ. Which of the following is most appropriate for this objective?
Group of answer choices
True-false
Matching
Multiple choice
Short essay
Short essay is most appropriate for this objective because it allows
students to discuss ways in which related concepts differ in their own
words. True-false, matching, and multiple choice formats do not
typically provide as much opportunity for in-depth discussion.
During a storm, a car traveling on a level horizontal road comes upon a bridge that has washed out. The driver must get to the other side, so he decides to try leaping the river with his car. The side of the road the car is on is 21.3 meters above the river, while the opposite side is only 1.8 meters above the river. The river itself is a raging torrent 48.0 meters wide.
The speed of the car to land safely on the opposite side will be 24.0 m/s. The speed of the car just before it lands on the other side will be 31.0 m/s.
(a) Speed is defined as the rate of change of the distance attained. it is a time-based quantity.
The equation for the position vector will be;
= r = x₀ + v₀xt,y₀ + v₀yt + (1/2)gt²
where,
r = the vector position of the car
vₓ = the initial horizontal velocity
vₐ = initial vertical velocity
t = time
y₀ =the initial vertical position
g =the acceleration due to gravity
v = the velocity at time t
From the figure, the origin of the frame of reference is located at y₀ = 0 and x₀ = 0.
The given position vector from the figure;
= r(final) = (48 -19.5) m
Then, employing the equations for the x and y-components of the vector r final, we will obtain;
= y = y₀ + v₀yt + (1/2)gt²
= y = (1/2)gt²
= -19.5 m = (1/2) X 9.8 X t²
= t = 2 s
By estimating the initial velocity at t = 2.00
The value is x-component of the vector r final is 48.0 m.
= x = x₀ + v₀xt [x₀ = 0]
= 48 = v₀x X 2
= v₀x = 24 m/s
Hence the speed of the car to land safely on the opposite side will be 24.0 m/s.
(b) The speed of the car just before it lands on the other side will be 31.0 m/s.
= v = (v₀x,v₀y + gt)
The y-component of v is given by;
= vₐ = v₀y + gt [v₀y = 0]
= vₐ = -9.8 X 2
= vₐ = -19.6 m/s
The resultant speed of the vector v will be :
= v² = 24² + (-19.6)²
= v = √ (24² + (-19.6)²)
= v = 31 m/s
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The complete question:
During a storm, a car traveling on a level horizontal road comes upon a bridge that has washed out. The driver must get to the other side, so he decides to try leap- ing the river with his car. The side of the road the car is on is 21.3 m above the river, while the opposite side is only 1.8 m above the river. The river itself is a raging torrent 48.0 m wide. (a) How fast should the car be traveling at the time it leaves the road in order just to clear the river and land safely on the opposite side? (b) What is the speed of the car just before it lands on the other side?
A transverse wave of amplitude 3.0 cm, frequency 5.0 Hz, and speed 2.0 m/s travels on an infinitely long Slinky. How far apart are the two nearest points on the Slinky that at one particular time both have the maximum magnitudes of displacements from their equilibrium positions?
A transverse wave of amplitude 3 cm, frequency 5 Hz, speed 2 m/s travels on an infinitely long silky. The distance between the two nearest points is 0.4 m.
Given that, amplitude = 3 cm
Frequency = 5 Hz
Speed = 2 m/s
As the wavelength is the measure of distance between two crests or two troughs in a wave, the peaks should be identical.
The distance between the two near-points on the silky is calculated by applying wave equation as follows:
v = f * λ
where, v is the speed
f is the frequency
λ is the wavelength
Making λ as subject, we have, λ = v/f
Substituting the values in the above formula, we have,
λ = v/f = 2/5 = 0.4 m
Thus, the wavelength is found to be 0.4 m.
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This graph shows the changes in energy of a box as it moves down a ramp. The x-axis represents the distance the box travels from its starting point at the top of the ramp. How do the height and velocity of the box change as it moves down the ramp?
The height and the velocity both decrease.
The height and the velocity both increase.
The height increases and the velocity decreases.
The height decreases and the velocity increases.
The height of the box decreases and the velocity of the box increases.
What is law of conservation of energy?Energy cannot be created or destroyed according to the rule of conservation of energy. However, it is capable of changing its form. The total energy of an isolated system is constant for all forms of energy.
The law of energy conservation is observed by all energy forms. In a nutshell, the law of conservation of energy asserts that: The whole energy of the system is preserved in a closed system, or a system that is cut off from its surroundings.
As the total mechanical energy of the box is conserved, the potential energy of the box transfers into kinetic energy which refers that the height of the box decreases and the velocity of the box increases.
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g determine how fast the top of the ladder is sliding down along the vertical wall when the base is 6 ft from the wall
The top of the ladder is sliding down the vertical line with a vertical speed of 0.75ft/s when the bottom of the ladder is 6ft from the wall.
Please refer to the image below.
We know from the case, that:
x = 6ft
l = 10ft
dx/dt = 1ft/s
Using the phytagoras theorem, we know that:
y² = 10² - x² ... (i)
Since the speed is the derivative of distance with respect to time, we could use the same concept to the equation (i) above:
2y.dy/dt = (0 - 2x) dx/dt
dy/dt = (x/y) dx/dt ... (ii)
When the ladder slides down and its bottom reach 6ft from the wall, the height of the ladder on the wall is:
y² = 10² - x²
y² = 10² - 6²
h = 8ft
The vertical speed of the ladder is:
dy/dt = (8/6) dx/dt
dy/dt = (8/6) (1)
dy/dt = 0.75 ft/s
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Complete Question:
A ladder 10ft long rest afainst a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1ft/s, how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 6ft from the wall?
Wich is faster this is for a project so pls don't guess
1.328m/s
or
1.351 m/s
Answer:
1.328m/s
Explanation:
Because it takes less meters per second compared to 1.351 m/s. Hope it helps!
the following is the electron configuration for an element that combines with magnesium to form an ionic compound. what are the correct subscripts for the formula of this compound?
Magnesium oxide is created by the ionic bonding of magnesium (Mg) and oxygen (O2). While oxygen has six valence electrons and an of 3,44, magnesium only has two valence electrons and a value of 1,31.
What is in a electron?A opposite charges subatomic particle known as an electron can either be free or attached to an atom (not bound). One of the three main types of components within an atom is an e that is bonded to it; the other couple are protons и neutrons.
What gives electrons their energy?When sufficiently stimulated, atoms in these materials transition from one energy level to another and inhabit a new orbital. These higher-energy electrons eventually return to their initial energy level after releasing their "excess" energy in form of a light photon.
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(a) Find an equation for the length L of a refracting telescope in terms of the focal length of the object Fo and the magnification m. (b) A knob adjusts the eyepiece forward and backward. Suppose the telescope is in focus with an eyepiece giving a magnification of 50.0. By what distance must the eyepiece be adjusted when the eyepiece is replaced, with a resulting magnification of 1.00x10^2? Must the eyepiece be adjusted backward or forward? Assume the objective lens has a focal length of 2.00m.
The equation of length is fo(1-1/M) and distance used for adjustment of eye piece is 20cm.
A refracting telescope's magnification is calculated by dividing the objective's focal length by the eyepiece's focal length.
e. g. A reflecting telescope has a 5 cm eyepiece and an objective with a focal length of 70 cm. It will be magnified by 70 / 5 = 14.
a) L = fo + fe
M = -fo / fe========> fe = -fo / M
L = fo - fo/M = fo*(1-1/M)
b) M = 50 = -fo/fe
L1 = fo*(1-(1/50)) = 2*(1-(1/50)) = 1.96 m
L2 = fo*(1-(1/50)) = 2*(1-(1/100)) = 1.98 m
d = L2 - L1 = 0.02m = 20 cm
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Conservation of Momentum - A 5 kg mass has a speed of 3 m/s to the right when it hits and sticks to a 4 kg mass. If the final combined speed is 2 m/s to the right, what was the initial velocity of the second object. Pick the closest answer. A) 1.2 to the right B) 1.2 to the left C) 0.75 to the right D) 0.75 to the left
The system is working based on the Conservation of Momentum: A 5kg mass has a speed of 3m/s to the right when it hits and sticks to a 4 kg mass that moves with speed of 0.75m/s to the right (C). Both mass then move together with 2m/s to the right.
Conservation of momentum states that the total momentum of a system remains constant.
P = P'
Momentum is the product of a particle's mass and velocity. Momentum could be formulized as:
P = m.v
From the case, we know that:
m1 = 5kg
m2 = 4kg
v1 = 3m/s to the right
v1' = v2' = v' = 2m/s to the right
v2 = ?
Based on the conservation of momentum concept, we know that:
P = P'
where:
P = m.v
Hence:
P = P'
m1.v1 + m2.v2 = (m1 + m2)v'
5 (3) + 4 (v2) = (5+4) 2
15 + 4v2 = 18
4v2 = 3
v2 = 0.75 m/s --> because v2 positive, hence m2 is moving to the right
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A mass m is suspended by a massless string forming a simple pendulum of length 2.0 m. The string of the pendulum is initially at an angle of 60° with the vertically downward direction when the mass is released from rest.
The centripetal acceleration of the mass is 10 m/s².
What is the centripetal acceleration of the mass?
The centripetal acceleration of the mass when it is at the lowest position is calculated as follows;
Tsinθ = ma - mg
where;
θ is the angle of inclination of the stringT is the tension in the stringm is mass suspendeda is centripetal acceleration of the massg is acceleration due to gravitywhen the mass is at the lowest position, θ = 0
The centripetal acceleration of the mass is calculated as follows;
T sin (0) = ma - mg
0 = ma - mg
ma = mg
a = g
Given that g, acceleration due to gravity = 10 m/s²
Hence, a = 10 m/s²
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The complete question is below:
A mass m is suspended by a massless string forming a simple pendulum of length 2.0 m. The string of the pendulum is initially at an angle of 60° with the vertically downward direction when the mass is released from rest. Calculate the centripetal acceleration of the mass when it is at the lowest position ( take g = 10 m/s²).
If you live in a place that gets its electricity from a coal plant, it is better to drive a(n) ____ car.
Driving an electric vehicle is preferable if you reside somewhere where coal plants are used to generate power.
Coal-fired power plants generate steam in order to generate electricity. These facilities generate almost 40% of the power used worldwide. Coal plants require enormous amounts of coal. The coal plant uses 9000 tonnes of coal per day. Coal is a flammable sedimentary rock with a colour that is either black or brownish-black, and it is sometimes referred to as coal seams. Coal is essentially made of carbon, with different amounts of other elements, including hydrogen, sulphur, oxygen, and nitrogen. Dead plant matter decomposes into peat, which under the heat and pressure of deep burial for millions of years eventually turns into coal. Coal mining and consumption result in early mortality and disease. The biggest anthropogenic source of carbondioxide causing climate change is coal burning, which harms the ecosystem.
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PLEASE HURRY!!
Two objects that each have a mass of 10,000 kg are 5.5 m apart. What is the gravitational force between them? (Universal constant of gravitation: 6.67 x 10-11)
a. 2.20 x 10^-4 N
b. 1.51 x 10^-3 N
c. 2.59 x 10^-5 N
d. 1.99 x 10^-4 N
Answer:
(a) 2.20 x 10^-4 N.
Explanation:
To solve this problem, you can use the formula for the gravitational force between two objects:
F = G * (m1 * m2) / r^2
where F is the gravitational force, G is the universal constant of gravitation, m1 and m2 are the masses of the two objects, and r is the distance between them.
Plugging in the given values, we get:
F = (6.67 x 10^-11) * (10,000 kg) * (10,000 kg) / (5.5 m)^2
= 2.20 x 10^-4 N
So the answer is (a) 2.20 x 10^-4 N.
Tell me if this helps :)
Since Finding Nemo came out in theaters, there has been an increased demand for pet clownfish. Now marine biologists are noticing that the sea anemone population is also decreasing. What can we do to help build up the sea anemone population? Explain why your solution would help.
There are plenty of things we can do to help build up the sea anemone population, but a few ways would be:
A) mate clown-fish to breed,
B) tell people about the problem they're producing, and
C) prohibit the purchase and sale of clown-fish in retailers.
Why sea anemone population is decreasing?The sea anemone is not a threatened species. The effects of climate change and human activities on sea anemone populations, on the other hand, remain mostly unknown. Clown-fish have a thick mucus covering that shields them from the potentially lethal sting of sea anemones.
According to research, clown-fish and other anemone-fish populations are declining in the wild due to over harvesting for the aquarium trade.
Thus,
A) mate clown-fish to breed,
B) tell people about the problem they're producing, and
C) prohibit the purchase and sale of clown-fish in retailers.
This can we do to help build up the sea anemone population.
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Discussion Topic
Whenever important physicists are discussed, Galileo Galilei, Isaac Newton, and Albert
Einstein seem get the most attention. However, as you've seen, Galileo formulated or
refined many of his discoveries and theories based on the findings of others who came
before him, including Aristotle and Nicolaus Copernicus. Likewise, Newton claimed that
he "stood on the shoulders of giants" in developing his work. You've just begun your stud
of physics, but from what you know (or can research and find out) take a position that
Galileo, Newton, and Einstein deserve this special recognition. Alternately, identify a
physicist that you think has been overlooked, compared to these three. Do some
research and support your opinion with credible arguments.
This particular honour belongs to Galileo, Newton, and Einstein since they each contributed significantly new ideas in addition to expanding upon and furthering the knowledge of those who came before them.
Briefing:
Galileo Galilei, Isaac Newton, and Albert Einstein always seem to garner the most attention when significant physicists are addressed. As you've seen, though, many of Galileo's discoveries and hypotheses were developed or modified using the findings of those who came before him, including Aristotle.
Galileo Galilei, Isaac Newton, and Albert Einstein always seem to garner the most attention when significant physicists are addressed. However, as you've seen, a lot of Galileo's discoveries and theories were developed or improved upon using the knowledge of those who came before him, including Aristotle.
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part 1 of 2
Given: G = 6.67259 x 10-11 Nm' /kg'
A 588 kg geosynchronous satellite orbits a planet similar to Earth at a radius 2.01 × 105 km from the planet's center. Its angular speed at this radius is the same as the rotational speed of the Earth, and so they appear stationary in the sky. That is, the period of the satellite is 24 h.
What is the force acting on this satellite?
Answer in units of N.
The force acting on satellite is 6.15 × [tex]10^{26}[/tex] kg.
What is force?
An object having mass differs its velocity in response to a push or pull. Force is an external agent that has the power to alter a body's resting or moving condition. It has a size and a movement.
Given,
F= [tex]M_{satellite}[/tex] × [tex]v^{2}[/tex]/r
v = 2[tex]\pi[/tex]r/T
F= [tex]M_{satellite}[/tex] × [4[tex]\pi[/tex][tex]r^{2}[/tex]/[tex]T^{2}[/tex]]
= 602 × 4[tex]\pi^{2}[/tex] × 1.98 × [tex]10^{8}[/tex] /[tex]86400^{2}[/tex]
= 630.37 N
[tex]M_{planet}[/tex] = 4[tex]\pi[/tex][tex]r^{2}[/tex][tex]r^{3}[/tex]/[tex]GT^{2}[/tex]
= (4[tex]\pi^{2}[/tex] × (1.98 × [tex]10^{8}[/tex][tex])^{3}[/tex])/ (6.67 × [tex]10^{-11}[/tex] × [tex]86400^{2}[/tex])
= 6.15 × [tex]10^{26}[/tex] kg.
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11.15 in the circuit of fig. 11.46, find the value of zl that will absorb the maximum power and the value of the maximum power.
The value of x =3.
What is value?Value is regard that something is held to deserve the important worth or usefullness of something .
In ∆ ABC
<A= <B=<C
Triangle is equilibrium triangle.
All the triangle side will be equal
6x-3=3x+6=5x
=6x-3 =3x+6
=3x=g
X=3
Thus, X = 3
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MgBr2 + 2 NaCl → MgCl2 + 2 NaBr
is this double replacement or single replacement or something else
The reaction depicted by the equation is a double replacement reaction.
What are double replacement reactions?Double-replacement reactions are chemical reactions during which the reactants exchange ions to form two new products entirely. The two compounds participating in double-replacement reactions are usually ionic compounds.
Unlike double-replacement reactions, single-replacement reactions involve the displacement of an atom from a compound by another atom.
Thus, a double-replacement reaction is in the form: [tex]AB + CD --- > AD + CB[/tex]
While a single-replacement reaction is usually in the form: [tex]AB + C --- > AC + B[/tex]
Thus, the reaction [tex]MgBr_2 + 2 NaCl --- > MgCl_2 + 2 NaBr[/tex] is a double replacement reaction.
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Physical properties can be and Some physical properties of matter such as and are observed using the fives senses.What are the ways to tell if a chemical change has occurred due to a reaction? List and describe them in complete sentences. (Hint: there are five that we read about.
The ways to tell if a chemical change has occurred due to a reaction include the following below:
Color Change.Production of an odor.Evolution of a gas etc.What is a Chemical change?This is a term which is referred to as the type of reaction which occurs when the substance's composition is changed and also involves the substance combining with another to form a new substance through the process of bond formation etc.
As a result of a new substance being produced during the reaction, there are certain changes in the color and odor due to the new substance being formed.
The evolution of a gas and the presence of precipitate both depicts the formation of a new substance which are therefore the ways to tell if chemical change occurred in the reaction.
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A mechanic uses a crowfoot wrench to loosen a bolt at E. Knowing that the mechanic applies a vertical 24-lb force at A, determine using Mohr's circle method the principal stresses and the maximum shearing stress at point H located as shown as on top of the 3/4-in. diameter shaft (this is the problem of 7.47 in the 7th edition).
As a result, the diameter of the shaft, as determined by Mohr's circle method, is 3.4 ksi.
What is Mohr's circle method?The transformation equation for issues involving plane stress are shown graphically by Mohr's circle. It helps to visualize the relationship between normal and shear loads acting on a stress component at any required direction. This process was developed by a German scientist by the name of Karl Friedrich Mohr. As a result, this procedure was given the moniker Mohr's method. Direct titration is a part of the procedure. Chloride ion solution serves as the analyte in this process, while silver nitrate is utilized to prepare titrants.
What is Mohr equation?The major stress and maximum shear stresses are identified, along with their planes, using Mohr's circle, which also aids in visualizing the normal stress and shear stress acting on the plane. Maximum shear stress (max) equals (σ1-σ2). Mohr's Circle coordinate is represented by the symbols σx,σy. Mohr's Circle Center (C) = ((σ1+2)/2, 0)
Briefing:J=0.0310 in^4
I=J/2=0.0310/2
I=0.0155 〖in〗^4
T=Tr/J=(240×0.375)/0.031
=2.9ksi
σ=Mr=144×(0.375)
=3.5ksi
σA=σmax=σ avg+R
=1.75+3.4
=5.15ksi
σB=σ min=σ avg-R
=1.75-3.4
=-1.65ksi
T max.=R=3.4ksi
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A 12 kg weather rocket generates a thrust of 200 N_ The rocket, pointing upward, is clamped to the top of a vertical spring, k = 550 N/m. The spring is anchored to the ground: a. Initially, before the engine is ignited, the rocket sits at rest on the top of the spring: How much is the spring compressed? b. After the engine is ignited, what is the rocket'$ speed when the spring has stretched 40 cm?
Initially before the engine is ignited, the weather rocket sits at rest on the top of the spring, and the spring is compressed 0.214m
After the engine is ignited, the rocket speed (that generates a thrust of 200N) when the spring has stretched 40cm is 1.78m/s
Answer to question a.
Given from the question
mass of weather rocket = 12kg
Thrust by rocket Ft = 200N
Spring constant K = 550N/m
Let spring compressed = x meters
Now, let us using the force formula
F rocket = F spring
mass rocket (m) * g (earth gravity) = spring constant (K) * x
12 * 9.8 = 550 * x
117.6 = 550x
x = 0.214m (X₁)
Answer to question b
where y = x₁ + x₂ ; x₁ = 0.214m ; x₂ = 0.4m (stretched 40cm)
y = 0.614
200 * 0.614 + 1/2 * 550 * 0.214² = 1/2 * 550 * 0.4² + 12 * 9.8 * 0.614 + 1/2 * 12 * v²122.8 + 12.59 = 44 + 72.21 + 6 * v²6v² = 19.18v = 1.788m/s
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The CN Tower in Toronto, Canada, is 553 m tall, making it the tallest free-standing structure in the world. Suppose a chunk of ice with a mass of 25.0 g falls from the top of the tower. The speed of the ice is 30.0 m/s as it passes the restaurant, which is located 353 m above the ground. What is the magnitude of the average force due to air resistance?
The magnitude of the average force due to air resistance be 188.75 N.
What is law of conservation of energy?Energy cannot be created or destroyed, according to the rule of conservation of energy. However, it is capable of change from one form to another. An isolated system's total energy is constant regardless of the types of energy present. The law of energy conservation is adhered to by all energy forms. The law of conservation of energy essentially says that
The total energy of the system is conserved in a closed system, also known as an isolated system.
Total energy of the chuck of ice at 553 m tall tower: E = mgh
= 25.0 × 9.8 × 553 Joule = 135485 joule.
If the average force due to air is W the, total energy of the ice at 353 m above the ground:
E = mgh + 1/2mv² + W(553-353)
= 25.0 × 9.8 × 353 + 1/2×25×30² + 200 W
= 97735 + 200 W joule
According to conservation of energy:
135485 = 97735 + 200 W
⇒ 200 W = 37750
⇒ W = 188.75 N.
Hence, the magnitude of the average force due to air resistance be 188.75 N.
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reactive power flow through a transmission line is proportional to the cosine of the phase angle difference between the sending and receiving end voltages
Capacitors and inductors (which might be from time to time known as reactors) are passive gadgets that generate or soak up reactive strength.
They accomplish this with out widespread real-strength losses or running expense. The output of capacitors and inductors is proportional to the rectangular of the voltage. Voltage magnitudes are in large part decided via way of means of reactive strength flows;
Reactive strength go with the drift on the road will increase the voltage distinction among sending and receiving buses; • The more potent the short-circuit strength in a given bus, the much less reactive strength go with the drift from the road reduces its voltage with appreciate to the sending bus reactive strength go with the drift thru a transmission line is proportional to the cosine of the section perspective distinction among the sending and receiving give up voltages.
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I need help with this question please.
The frequency heard by the person is 493.78Hz.
When the train moves toward the stationary observer then:
[tex]F=n(V/V-V_{s})[/tex]
Given:[tex]n=472,V=340m/s,V_{s}=15m/s[/tex]
[tex]F=472(340/340-15)\\F=493.78Hz[/tex]
What are the frequency and pitch of sound?
Sounds are higher or lower in pitch according to the frequency of vibration of the sound waves producing them. A high frequency (e.g., 880 hertz [Hz; cycles per second]) is perceived as a high pitch, and a low frequency (e.g., 55 Hz) as a low pitch.
How does the frequency of sound change with distance?
The frequency of sound doesn't decrease with distance, but it does decrease with increasing distance, meaning it does go through the doppler shift, the same as light. This is why the sound of a car driving by at high speeds drops in frequency as the car passes you.
Thus, the frequency at which the whistle is heard is 493.78Hz
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452.05 Hz is the frequency at which whistle is heard when the frequency (Hz) a person hears as a train blows its whistle at 472Hz while moving 15m/s toward this person on a freezing cold day.
What is frequency ?The No. of oscillations of a wave in fixed unit of time is termed as frequency. f=1/T .
The S.I unit of frequency is hertz (Hz). One hertz is = to one cycle per second.Given:
Frequency of whistle is =472Hz
The speed of train = 15m/s
Speed of air =340m/s
Solution:We use the given formula nA=n( V/V+Vs)
nA= 472(340/340+15)
nA=452.05 Hz
Hence, 452.05 Hz is the frequency at which whistle is heard when the frequency (Hz) a person hears as a train blows its whistle at 472Hz while moving 15m/s toward this person on a freezing cold day.
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The graph in Figure 13 represents the motion of a car moving along a straight highway. Describe in words the car’s motion.
Answer: decreasing diagnol lines are constant dpeed moving toward the origin
Explanation:
According to the position vs time graph below, at what time did David first start to move in a positive velocity (forward direction)?
A. At 3 minutes
B. At 0 minutes
C. At 7 minutes
D. At 5 minutes
According to the given position vs time graph, at the 5th minute, David first starts to move at a positive velocity in the forward direction. Therefore, option D is correct.
What is the Position Time Graph?The position vs time graph can be defined as where the instantaneous position is plotted on the y-axis and the time is plotted on the x-axis is called a Position vs. time graph.
In the position vs time graph, draw an independent variable on the x-axis while dependent variables will be plotted on the y-axis. The dependent variable should be dependent on the independent variable.
In the given graph the slope of the graph is positive after the fifth minute. The slope of the position vs time graph is representing the velocity. Therefore, David first starts to move at a positive velocity at 5 minutes.
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