The average intensity received on the Earth's surface is [tex]12.6*10^{10} W/m^{2}[/tex]
[tex]Intensity = Rate of energy radiated/4\pi R^{2}[/tex]
where R is the distance of the earth from the sun.
[tex]I=4*10^{26}/4\pi *[150*106*10^{3}]^{2}[/tex]
[tex]I=0.12597*10^{12}[/tex]
[tex]I=12.6*10^{10} W/m^{2}[/tex]
What is the meaning of the intensity of sunlight?
Sun intensity refers to the amount of incoming solar energy, or radiation, that reaches the Earth's surface. The angle at which the rays from the sun hit the Earth determines this intensity.
What is the average intensity received on the Earth's surface?
The average intensity received on the Earth's surface is given by:
[tex]I=rate of energy radiated/4\pi R^{2}[/tex]
Thus, the average intensity received on the Earth's surface is [tex]12.6*10^{10} W/m^{2}[/tex]
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The svstem shown below is released from rest
and moves 50 cm in 1.0 second. What is the value
of M? All surfaces are frictionless.
Value of M (mass of other block) in the mention pulley system is 3.68 kg.
What is tension?Tension is the contact force transmitted when the force on both ends pulls on a rope, cord, wire, etc.
For example, a tire swing hanging from a tree creates tension in the rope that holds the swing to the branch. Pulling at the bottom of the rope is due to gravity, while pulling up is due to the branches resisting rope pull. The pulling force acts along the length of the rope and acts evenly on the objects (tires and branches) at both ends. At the hoop, the pull is upward (because the tension in the rope holds the hoop up), but at the branch the pull is downward (a taut rope pulls the branch down).
Let's calculate acceleration:
S = ut + ¹/₂ at²
Where, s = 50 cm or 0.5 m
u = 0 m/s
t = 1.0 second
Now, substitute the values:
0.5 = 0 × 1 + ¹/₂ a × 1²
0.5 = ¹/₂ a
a = 1 m/s²
Now for tension force following are the equations:
T = ma + mg
T = Mg - Ma
ma + mg = Mg - Ma
Where, T = Tension force
m = 3 kg
a = 1 m/s²
g = 9.8 m/s²
M = To be calculated
a = (Mg - mg)/(M + m)
1 = (M × 9.8 - 3 × 9.8)/(M + 3)
1(M + 3) = 9.8 M - 29.4
M + 3 = 9.8 M - 29.4
29.4 + 3 = 9.8 M - M
32.4 = 8.8 M
M = 32.4/8.8
M = 3.68 kg
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The complete question is as follows:
The system shown below is released from rest and moves 50 cm in 1.0 second. What is the value of M? All surfaces are frictionless.
A 30 kg chair initially at rest on a horizontal floor requires a 160 N horizontal force to set it in motion. Once the chair is in motion, a 125 N horizontal force keeps it moving at a constant velocity. The acceleration of gravity is 9.81 m/s 2 . a) What is the coefficient of static friction between the chair and the floor? 017 (part 2 of 2) 10.0 points b) What is the coefficient of kinetic friction between the chair and the floor?
(a). The chair's dynamic friction factor with the floor is = 0.602.
(b). The chair's as well as the floor's kinetic friction factor is = 0.475.
What is a simple definition of velocity?The metre per second (m/s) is the accepted unit of velocity magnitude (also known as speed).
Briefing:a)Let's practice using Newton's second law. In the reference system, the x axis is perpendicular to the axis and parallel to the floor.
Y Axis
N-W = 0
N = W
X axis
F-fr = ma
The formula for the friction force is
fr = μN
The acceleration is zero where the movement starts.
Let's replace
F = μ (mg) = 0
F = μ mg
μ = F / mg
μ = 160/30 9.81
μ = 0.602
b) The formula is the same in this instance, but the friction is kinetic.
μ = F2 / mg
μ = 125/30 9.81
μ = 0.475
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consider the given result of a chromatography experiment. developed chromatography plate with three spots. spot a has travelled about half of the distance between the starting line and the solvent front. spot b has travelled about one third of the distance between the starting line and the solvent front. spot c has travelled about three quarters of the distance between the starting line and the solvent front. identify which spot corresponds to the compound in each description. has a retention factor of about 0.60 choose... corresponds to the compound with the highest affinity for the solvent choose... corresponds to the compound with the lowest affinity for the solvent choose...
TLC is a frequently used technique in organic chemistry labs because it can provide immediate and important information about the purity of a sample and whether or not a reaction is taking place. Using low polarity solvents, a TLC plate can be finished in less than five minutes.
What will happen if sample spots are too close to each other in chromatography?Problems with the separation can result from a location that is overly large or dense. 6. If you are using multiple samples on the same plate, be sure their spots do not overlap. In order to avoid colliding during the separation, adjacent dots must be spaced by at least 0.5 cm.
Since the ratio between the distances stays constant, the Rf value won't change if the solvent is only permitted to move halfway up the plate. After marking the front line of the solvent on the TLC plate and removing it from the developing chamber, let the plate air dry. When a substance is placed to a TLC plate in excess, the dot may streak over the plate or touch nearby samples that are being evaluated.
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b
3.5 Press
The seesaw will balance when the moments on both sides are equal.
Zara weighs 400 N.
Calculate the distance from the pivot to where Zara should sit to
balance the seesaw.
Show your working and give the unit.
Because Newton as Pressure = Thrust/Area, the answer will be 7.5.
What happens when two kids of different weights balance on a seesaw and each generates an equal amount of torque in the opposing direction?The rotating equivalent of Newton's first law is this. When each child's weight exerts an equal amount of torque about the pivot in opposing directions, two kids can balance on a seesaw (clockwise and counter clockwise).
Can two people of different weights balance on a seesaw?The idea of the seesaw You are probably aware that any two people, regardless of their weights, can balance each other while seated on opposite sides of a seesaw. All that is required is for each individual to contribute an equal moment, which is determined by multiplying the person's weight by the distance from the fulcrum.
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Two friends, Burt and Ernie, are standing at opposite ends of a uniform log that is floating in a lake. The log is 3.9 m long and has mass 260 kg. Burt has mass 30.0 kg and Ernie has mass 40.5 kg. Initially the log and the two friends are at rest relative to the shore. Burt then offers Ernie a cookie, and Ernie walks to Burt's end of the log to get it.
A) Relative to the shore, what distance has the log moved by the time Ernie reaches Burt? Neglect any horizontal force that the water exerts on the log and assume that neither Burt nor Ernie falls off the log.
By the time Ernie gets to Burt, the log has drifted 0.29 metres away from the coast.
Centre of mass definition ?
The location where the centre of the distribution of mass in space is located is the centre of mass for a given item or system of objects. For bodies to continue to be at rest, the centre of mass must equal zero.
It may be expressed as,
∑miΔxi=0
m=mass
x=distance
The 3.2m-long log weighs 290kg and is 3.2m long. Ernie weighs 32 kg, whereas Burt weighs 33 kg.
Ernie accepts Burt's offer of a cookie and moves to his side of the log to take it.
By the time Ernie gets to Burt, the log should have travelled x metres. Consequently, using the formula above,
33(x)+290(x)+32(x-32)=0
x=0.29m
As a result, the log has travelled 0.29 metres by the time Ernie gets to Burt.
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18. scientists measured the beak length of a population of birds in a lake in 1960. they measured the beak length of the bird population again in 2010. what do the graphs show you about the variation in the beak lengths of the birds by the lake?
The graph shows that there was more variation in 2010.
A graph can be described as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.
A graph is a common data structure that consists of a finite set of nodes (or vertices) and a set of edges connecting them.
From the graph show, scientists measured the beak length of a population of birds in a lake in 1960. they measured the beak length of the bird population again in 2010. The graph shows that there was more variation in 2010.
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If the spaceship whips around the planet to the other side so that the angle is ϕ=30.9∘ and is moving at 178m/s, how far, in kilometers, from the planet is it?
Having said that,
Gravitational Constant: g=GMR2
G=6.621011Nm2kg2 R=Radius Earth's M stands for Earth's mass.
The spacecraft is currently far away. R′=2R
As a result, g will be as follows: g′=GMR′2 R′=2R g′=GM4R2 g′=g4 g′=9.84 g′=2.45ms2
At any point on its surface, a non-rotating perfect sphere with equal mass density or one whose density varies exclusively with distance from the centre (spherical symmetry) will produce a constant gravitational field. The Earth is an oblate spheroid because it rotates and is not spherically symmetric; rather, it is slightly flatter towards the poles and bulges at the Equator. As a result, the magnitude of gravity varies slightly throughout the surface.
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Distance (height) and mass determine the amount of ________ energy in an object.
Answer:
potential
Explanation:
Answer:
Gravitational potential energy
Explanation:
GPE = MGH
M - MASS
G - GRAVITATIONAL
H - HEIGHT
Abbey and Mia are in the basement playing pool. On Abbey's recent shot, the cue ball was moving east at 91 cm/s when it struck the slower 8-ball moving in the same direction at 18 cm/s. The 8-ball immediately speeds up to 62 cm/s. Determine the post-collision velocity of the cue ball. (Assume all balls have the same mass.)
Answer:
[tex]47\; {\rm cm\cdot s^{-1}}[/tex] to the east.
Explanation:
When an object of mass [tex]m[/tex] travels at a velocity of [tex]v[/tex], the momentum [tex]p[/tex] of that object will be [tex]p = m\, v[/tex].
Let [tex]m[/tex] denote the mass of one ball.
Before the collision:
Momentum of the cue ball: [tex]p(\text{cue, before}) = m\, v(\text{cue, before})[/tex].Momentum of the numbered ball: [tex]p(\text{number, before}) = m\, v(\text{number, before})[/tex].Hence, the total momentum before the collision was:
[tex]\begin{aligned} & p(\text{cue, before}) + p(\text{number, before}) \\ &= m\, v(\text{cue, before}) + m\, v(\text{number, before})\end{aligned}[/tex].
Likewise, the total momentum right after the collision would be:
[tex]\begin{aligned} & p(\text{cue, after}) + p(\text{number, after}) \\ &= m\, v(\text{cue,after}) + m\, v(\text{number, after})\end{aligned}[/tex].
Momentum is supposed to be conserved during the collision. In other words, total momentum should be the same immediately before and after the collision. Hence:
[tex]\begin{aligned} & p(\text{cue, before}) + p(\text{number, before}) \\ &= p(\text{cue, after}) + p(\text{number, after})\end{aligned}[/tex].
[tex]\begin{aligned} & m\, v(\text{cue, before}) + m\, v(\text{number, before}) \\ &= m\, v(\text{cue, after}) + m\, v(\text{number, after})\end{aligned}[/tex].
Assume that positive velocities denote motion to the east.
In this question, [tex]v(\text{cue, before})[/tex], [tex]v(\text{number, before})[/tex], and [tex]v(\text{number, after})[/tex] are all given. Rearrange this equation to find [tex]v(\text{cue, after})[/tex]:
[tex]\begin{aligned}& m \, v(\text{cue, after}) \\ &= m\, v(\text{cue, before}) \\ &\quad\quad + m\, v(\text{number, before}) \\ &\quad\quad - m\, v(\text{number, after}) \end{aligned}[/tex].
[tex]\begin{aligned}& v(\text{cue, after}) \\ &= v(\text{cue, before}) \\ &\quad\quad + v(\text{number, before}) \\ &\quad\quad - v(\text{number, after}) \\ &= 91\; {\rm cm \cdot s^{-1}} + 18\; {\rm cm\cdot s^{-1}} - 62\; {\rm cm\cdot s^{-1}} \\ &= 47\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
Since the result is greater than zero, the direction of motion of the cue ball after the collision will also be to the east.
we can find the current, i, in the circuit by using ohm's law (generalized for alternating currents), v
The current, i, in the circuit by using ohm's law (generalized for alternating currents), v is [tex]\begin{aligned}& I= \\& \quad 0.4000+0.8000 i\end{aligned}[/tex]
What is circuit?
An electronic circuit is composed of individual electronic components, such as resistors, transistors, capacitors, inductors and diodes, connected by conductive wires or traces through which electric current can flow.
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An average force of 100. newtons is used to pull back the string of a bow by 0.60 meter.
The arrow in the bow is released. What is its kinetic energy as it leaves the bow?
Answer: 60 joules
Explanation:
The amount of work done in pulling back the string of a bow
= FORCE * DISPLACEMENT
W = 100 * 0.60 = 60 J
The change in kinetic energy is the net work done.
Therefore,
W = k1 - k2 = k1
This implies that the work done is equal to the kinetic energy.
which one of the following is not a typical consequence associated with open pit mines. apes
One of the things that are NOT a typical consequence that is associated with open pit mines is the release of high concentrations of ozone into the local environment, causing long-term respiratory harm to individuals and the environment.
The open-pit mine is a surface mining technique used to extract rocks or minerals from the earth using an open-air pit. This technique is used when ore or rock deposits are found near the surface, which makes digging a tunnel unnecessary.
The main consequence of open-pit mine that concerns most people is that it generates a large amount of dust that contains heavy metals to the environment, as well as creating deposits of toxic waste ponds. Ozone is not considered a heavy metal.
Attached below is an image of the Sunrise Dam Gold Mine open pit mine in Australia.
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A swing has a potential energy of 150 J and a kinetic energy of 75 J at a certain spot. What is the mechanical energy of the swing?
The mechanical energy of the swing is the sum of the potential energy and the kinetic energy which is equal to 225 Joules.
What is Mechanical energy?Mechanical energy is the energy which is present either in an object which is in motion or the energy which is stored in objects by their position. Mechanical energy is the main driver of renewable energy. Many different forms of renewable energy rely directly on the mechanical energy to adequately produce enough amount of power or convert energy.
The mechanical energy of the object is the sum total of individual energies which are present in the object. The mechanical energy of an object can be represented as:
M.E. = P.E. + K.E.
M.E. = Mechanical energy,
P.E. = Potential energy,
K.E. = Kinetic energy
Therefore, the mechanical energy of the swing will be:
M.E. = 150J + 75J
M.E. = 225 Joules
Therefore, the mechanical energy of the swing is equal to 225 Joules.
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A flask is filled with 1.57 L (L: liter) of a liquid at 90.6 °C. When the liquid is cooled to 10.2 °C, its volume is only 1.38 L. however. Neglect the contraction of the flask. What is the coefficient of volume expansion of the liquid?
The coefficient of volume expansion of the liquid = 1.97 × 10⁻³ /⁰C
What is the coefficient of volume expansion of the liquid?The amount of volume that a substance expands by per unit of its original volume for each degree that its temperature rises is known as the coefficient of volume expansion.
As we know, The coefficient of volume expansion of the liquid
= change in volume/(original volume × temperature difference)
= (V₂ - V₁)/[V₁ × (T₂ - T₁)]
Change in volume = (V₂ - V₁)
Here, V₂ ( final volume) = 1.31 L
V₁ (initial volume)= 1.55 L
T₂ (final temperature) = 14.7 degrees
T₁ (initial temperature) = 96 degrees
The coefficient of volume expansion of the liquid
= (1.31 - 1.55) / [1.5 × (14.7- 96)]
= 1.97 × 10⁻³ /⁰C
Thus, the coefficient of volume expansion of the liquid = 1.97 × 10⁻³ /⁰C
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If a chimpanzee were to throw darts at a Periodic Table, he would most likely hit an
element with which of the following characteristics:
a) a naturally radioactive element
b) a solid at room temperature
c) a gas at room temperature
d) a liquid at room temperature
Answer:he would most likely hit an element with which of the following characteristics: W) a naturally radioactive element X) a solid at room temperature Y) a gas at room temperature Z) a liquid at room temperature ANSWER: X) A SOLID AT ROOM TEMPERATURE
Explanation:
While standing, twisting your lower limb at the hip so that your toes point off to the side is called ________ rotation. Twisting your lower limb at the hip so that your toes point toward your other foot is called __________ rotation.
Lateral; medial
Lateral rotation is an anatomical term of motion used to describe rotation along the long axis of a joint. In lateral rotation, this movement is away from the midline of the body and occurs in the transverse plane.
On the other hand, medial rotation is a rotational movement towards the midline. It is sometimes referred to as internal rotation.
According to this question, twisting one's lower limb at the hip while standing, so that the toes point off to the side is an example of lateral rotation while doing the above but in such a way that it points towards the other foot is an example of medial rotation.
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Why does passing a current through a wire create a magnet?
a. The protons create an electrical charge.
b. The electrons create an electrical charge
C. The protons create a magnetic charge.
d. The electrons create a magnetic field.
Please select the best answer from the choices provided
Ο Α
OB
C
OD
Passing a current through a wire create a magnet because the electrons create a magnetic field.
Is it possible for a wire's current to generate a magnetic field?
Flemming's Right Hand Rule states that while a current flows, it generates a magnetic field all around it. The magnetic field produced by the wire's electric current will repel both poles of the magnet by bending away from the wire since it is changing directions around the wire. Magnetic fields are produced when moving electric charges (electrons in a circuit) move, and vice versa (electricity).
A wire heats up when a current flows through it because some of the electrical energy is transformed into heat energy due to resistance the wire encounters. This is referred to as the electric current's heating impact.
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Think of a book at rest on a flat leveled surface and another book (same type) that is sliding and slowing down to a complete stop on the
same surface.
a. What force(s) is on the sliding book that is not on the book at rest? Explain why.
b. If the sliding book was speeding up instead, describe how the free body diagram would be drawn differently than the book at rest.
An 18 v battery connected to a resistor produces a 5 mA( milliamp) current. What is the resistance? Show work
Both balls fall from the same height above the ground.
(a) Use the graphs to find
(i) the average acceleration of the falling rubber ball during the first 3.0 s
A car travels west 60 kilometers in 2.5 hours. Its average velocity for the trip is ____ km/h.
pls help
Answer:
24km/h
Explanation:
V = D/T
= 60/2.5
= 24
The star forming interiors of molecular clouds are best studied at which of the following wavelengths gamma ray x ray visible infared
If you wanted to see stars hidden behind a molecular cloud, you would probably look at light with an infrared wavelength.
What are wavelength and frequency?The duration, which will also apply to troughs, seems to be the distance between the two wave crests. The unit of frequency by cycles per second (Hz), which is the quantity of vibrations that cross a specific area in a second (Hertz).
Is frequency the same as wavelength?The connection between wavelength and frequency is inversely proportional. The wavelength of a wave with highest frequency is the shortest. Double the wavelength corresponds to twice the frequency. The wavelengths ratio is therefore the inverse of an applied frequency.
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The complete question is-
If you wanted to observe stars behind a molecular cloud, in what wavelength of light would you most likely observe?
A. visible
B. gamma-ray
C. X-ray
D. infrared
E. ultraviolet
Oil with a density of 817kg/m3817kg/m3 is flowing smoothly through a pipe, as shown. In the lower portion, the oil is flowing at v1=2.09m/sv1=2.09m/s, and the pressure gauge indicates P1=247kPaP1=247kPa. In the upper portion of the pipe, oil is flowing at v2=3.41m/sv2=3.41m/s at a height that is 10.68m10.68m above the lower portion.What is the pressure reading, in kilopascals, on the gauge on the upper portion of the pipe?
The pressure in the upper portion of the pipe is calculated by applying Bernoulli's equation,
P₁ + ¹/₂ρv₁² + ρgh₁ = P₂ + ¹/₂ρv₂² + ρgh₂
given is
p1 =247kPa
v1=2.09 m/s
h1= 0
v2 =3.41 m/s
h2 = 10.68 m
p=817 [tex]m^{3[/tex]
p2 = ?
Solving for this we can get the required value.
Bernoulli's equation formula shows the relation between pressure, kinetic energy, and gravitational potential energy of a fluid in a container. We have the formula for Bernoulli's principle as follows: p + 1 2 ρ v 2 + ρ g h = A constant.
Bernoulli's principle is based on the principle of conservation of energy. According to it, "in a steady flow, the sum of all forms of energy in a fluid is the same at all points that are free of viscous forces". This required the sum of kinetic energy, potential energy and internal energy to be constant.
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Suppose you hear an echo 0.15 seconds after banging. How long
is the barn?
With the use of echo formula, the length of the barn is 24.75 m
What is an Echo ?An echo is a sound heard after the reflection of sound waves from a plane surface. It is simply the reflection of sound waves.
Suppose you hear an echo 0.15 seconds after banging.
Then,
Time T = 0.15 sSpeed of sound in air V = 330 m/sLength L = ?V = 2L/T
330 = 2L/0.15
2L = 330 × 0.15
2L = 49.5
L = 49.5/2
L = 24.75 m
Therefore, the barn is 24.75 m long.
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The water supply of a building is fed through a main pipe 6.00 cm in diameter. A 2.00−cm -diameter faucet tap, located 2.00 m above the main pipe, is observed to fill a 25.0−L container in 30.0 s . (a) What is the speed at which the water leaves the faucet? (b) What is the gauge pres- sure in the 6 -cm main pipe? (Assume the faucet is the only "leak" in the building.)
The pressure difference in the 6 cm supply line is 2.31 * 10⁴Pa, and the rate at which water exits the valve is 2.65 m/s.
What do distance and speed mean in physics?The ability of an object to move quickly or slowly is a very fundamental idea in motion. Distance is exactly proportional to velocity if time is constant, hence speed is merely distance divided by time. You will be asked to perform calculations for one of three supplied variables in incidents affecting speed, distance, and time.
Briefing:The primary pipe's R1 radius is 3.0 cm.
The faucet's radius is R2 = 1.0 cm.
The faucet's height is h = 2.0 cm.
(a) The flow rate
[tex]$$\mathrm{R}=\mathrm{Av}=\frac{25 \mathrm{~L}}{30}=0.833 \mathrm{~L} / \mathrm{s}=833 \mathrm{~cm}^3 / \mathrm{s}$$[/tex]
The area of faucet [tex]$\mathrm{A}_2=\pi r_2{ }^2$[/tex]
[tex]$$=\pi(1 \mathrm{~cm})^2=\pi \mathrm{cm}^2$$[/tex]
then the speed
[tex]$$\begin{aligned}\mathrm{v}=\frac{\mathrm{R}}{\mathrm{A}} & =\frac{833 \mathrm{~cm}^2 / \mathrm{s}}{\pi \mathrm{cm}^2}=265 \mathrm{~cm} / \mathrm{s} \\& =2.65 \mathrm{~m} / \mathrm{s}\end{aligned}$$[/tex]
b) from continuity equation
[tex]$$\begin{aligned}A_1 v_1 & =A_2 v_2 \\\text { then } \mathrm{v}_1=\frac{A_2 v_2}{A_1} & =\frac{(\pi)}{\pi(3 \mathrm{~cm})^2}(265) \\& =0.295 \mathrm{~m} / \mathrm{s}\end{aligned}$$[/tex]
From Bernoulli's theorem
[tex]$$\begin{aligned}\mathrm{P}_1 & +\frac{1}{2} \rho v_1^2+\rho g y_1=\mathrm{P}_2+\frac{1}{2} \rho v_2^2+\rho g y_2 \\P_1-P_2 & =\frac{1}{2} \rho\left(v_2^2-v_1^2\right)+\rho g\left(y_2-y_1\right) \\& =\frac{1}{2}\left(10^3\right)\left[(2.65)^2-(0.295)^2\right]+\left(10^3\right)(9.8)(2) \\& =2.31 \times 10^4 \mathrm{~Pa}\end{aligned}$$[/tex]
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Define the term centre gravity of an object?
The center of gravity (CG) location is the average location of all the weight of an object.
The center of gravity is the balance point of an object, also expressed as the point where all the mass appears to be located.
The Center of gravity can be defined as the weighted average of all point masses in an object, which satisfies the following:
CG = sum(mi * r i)/sum(mi)
Where r i is the position of each point mass.
mi is the mass of each point mass.
The center of gravity location has several unique properties:
An object in space rotates about its center of gravity.A force applied to the center of gravity causes pure translation.A different concept is used where high accuracy is required. The object is placed on top of a table that is pivoted about a defined axis. The moment due to the center of gravity offset of the object from the center axis is measured using a force transducer.
The location of the center of gravity is derived from the moment measurement by applying the following formula:
M = W x d
Where M is the moment applied.
W is the weight of the object.
d is the distance from the pivot point to the center of gravity of the object
Below is a list of examples with typical accuracy requirements:
Human: 2 inches (5 cm)
Golf ball: 0.05 inch (1.25 mm)
Rocket: 0.01 inch (0.25 mm)
Spacecraft: 0.04 inch (1 mm)
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In physics, the centre of gravity is a hypothetical location within a solid where, for the sake of convenience in some computations, the body's whole weight may be assumed to be concentrated.
The idea might be helpful when planning static structures (like buildings and bridges) or when forecasting how a moving body will behave when subjected to gravity.
The geometric centre of a body may also be where the body's centre of gravity is located, especially in symmetrically structured objects made of homogeneous material.
However, it is likely that the centre of gravity of an asymmetrical item made of various materials with different masses will be situated some distance from the object's geometric centre.
In certain circumstances, such as hollow bodies or things with irregular shapes, the centre of gravity (or centre of mass) may exist in space at a location independent of the physical substance.
Hence, the centre of gravity is a theoretical point within a solid where, for the simplicity of some calculations, the entire weight of the body may be believed to be concentrated.
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What is the rotational kinetic energy (in J) of Jupiter in its orbit around the Sun? (Assume its distance from the sun to be 7.78 ✕ 108 km and its period about the sun to be 4340 days.)
The rotational kinetic energy (in J) of Jupiter in its orbit around the Sun is 1.613 × 10³⁵ J
What is rotational kinetic energy?Rotational kinetic energy is kinetic energy due to rotation about an axis.
What is the rotational kinetic energy (in J) of Jupiter in its orbit around the Sun?The rotational kinetic energy is given by K = 1/2Iω² where
I = rotational inertia of juptier around sun = MR² where M = mass of Jupiter = 1.898 × 10²⁷ kg and R = distance of jupiter from sun = 7.78 × 10⁸ km = 7.78 × 10¹¹ m, ω = angular speed of Jupiter around sun = 2π/T where T = period of Juptier around sun = 4340 days = 4340 × 24 h/day × 60 min/h × 60 s/min = 374976000 s = 3.74976 × 10⁸ sSo, We have that the rotational kinetic energy of Jupiter is
K = 1/2Iω²
K = 1/2(MR²)(2π/T)²
K = 1/2(MR²)(4π²/T²)
K = 2π²MR²/T²
Substituting the values of the variables into the equation, we have that
K = 2π²MR²/T²
K = 2π² × 1.898 × 10²⁷ kg × (7.78 × 10¹¹ m)²/(3.74976 × 10⁸ s)²
K = 2π² × 1.898 × 10²⁷ kg × 60.5284 × 10²² m²/14.0607 × 10¹⁶ s²
K = 2π² × 114.8829 × 10⁴⁹ kgm²/14.0607 × 10¹⁶ s²
K = 229.7658π² × 10⁴⁹ kgm²/14.0607 × 10¹⁶ s²
K = 16.3410π² × 10³³ kgm²/s²
K = 161.2791 × 10³³ kgm²/s²
K = 1.612791 × 10³⁵ kgm²/s²
K ≅ 1.613 × 10³⁵ J
So, the rotational kinetic energy is 1.613 × 10³⁵ J
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True or False : the effect of magnetizing flux can be represented by a magnetizing inductance. this inductance appears in parallel with the primary side of a transformer (if primary leakage inductance and copper resistance are ignored).
True , The magnetizing inductance and this inductance are parallel. Each coil in a transformer has the same voltages each turn.
What are transformers and what varieties exist?Power transformers, distribution transformers, and isolation transformers, in that order. We have Twin Winding Generators and Autotransformers based on windings. We include Core Type Transformers, Shell Type Transformers, and Berry Type Transformers based on core designs.
What purpose does a transformer serve?Electric circuits employ transformers to modify the voltage of the electricity flowing through the circuit. In AC circuits, it is utilized to step up or step down the voltage (thus, "stepping up" or "stepping down").
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Name five alternative energy sources for transportation. list one benefit and one challenge of each.
Natural gas, hydrogen, electricity, hybrid vehicles, biofuels, five major alternative energy sources in transportation. Producing energy from fossil fuels no releases of greenhouse gases, lowering forms of pollution.
What types of energy are primarily used for transportation?The relative ease with which petroleum-derived fuels may be stored and utilized in internal-combustion engines accounts for their supremacy. However, they need a more intricate storage system than other fossil fuels, such as natural gas, gas, and methanol, which can also be utilized as transportation fuels.
How can the transportation system be made to use less energy?Use your personal automobiles sparingly. When possible, strive to use public transportation. Reduce the car's additional BOOT weight. Unnecessary objects like a flat tire and unwanted luggage—especially hefty ones—in the car might lower its mileage.
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The Balmer series for the hydrogen atom corresponds to electronic transitions that terminate in the state with quantum number n = 2 as shown in the figure below. Consider the photon of longest wavelength corresponding to a transition shown in the figure. (a) Determine its energy. eV (b) Determine its wavelength. nm Consider the spectral line of shortest wavelength corresponding to a transition shown in the figure. (c) Find its photon energy. eV (d) Find its wavelength. nm (e) What is the shortest possible wavelength in the Balmer series? (Be sure to consider all values of n, not just those indicated by the arrows in the figure.) nm
Electronic transitions that end up in the state with quantum number n = 2 are what the Balmer series for the hydrogen atom refers to. The longest wavelength is 656.3x10-9 m, and the energy is 3.03X10^33J
Given quantum number (n) = 2
This will be transition 3-2 photon energy (E)= hc/λ since we must take into account the photon with the longest wavelength that completes the electron transition in the state with the quantum number n=2
photon energy (E)= hc/λ
(a) Then the energy (El) of longest wavelength= 6.63×10 −34 x 3x10^8/656.3x10-9
E = 3.03x10^33J = 1.89eV
(b) We know that 1/λl = R(1/n1^2 - 1/n2^2) where R = Rydberg constant
1/λl = 1.097×107m−1× (1/2^2 - 1/3^2)= 656.3x10-9m
(c) From given diagram we say thee shortest transition is from level 6 to level 2
n1 = 2 and n2 = 6
Its photon energy (Es) = 6.63×10 −34 x 3x10^8/411x10-9 = 3.023eV
(d) Wavelength of shortest transition series 1/λ = 1.097×107x(1/2^2 -1/6^2) = 411nm
(e)Shortest wavelength is emitted in Balmer series if the transition of electron takes place from n2=∞ to n1=2.
Shortest wavelength in Balmer series 1/λ = R(1/2^2 -1/∞)=364.6nm
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