The roller coaster slows down as it ascends yet another hill. Potential energy is created from kinetic energy.
At the top of the loop, what kind of potential energy does the roller coaster have?The energy that an item has due to its height is called gravitational potential energy (PE = mgh), and it is equal to the mass of the object times its height times the gravitational constant. On a roller coaster, the gravitational potential energy is greatest at the top and lowest at the bottom. As the roller coaster speeds down the hill, the potential energy it had while on a slope is transformed into kinetic energy. The roller coaster slows down as it ascends yet another hill. Potential energy is created from kinetic energy.
How is a roller coaster propelled by energy?The roller coaster is propelled by the conversion of potential energy to kinetic energy, and after it has descended the first hill, it has all the kinetic energy it will require for the trip. Once you're moving, various wheel designs contribute to a pleasant ride. The coaster's running wheels direct it along the track.
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The zebra (herbivore) population i exploding in the avannah. At the ame time, population of many mall animal that live in the Red Gra that zebra eat are beginning to die out. Why do you think population of thee mall animal are dying out? What could we do to help prevent thee mall animal from going extinct?
The zebra population is likely increasing because there is an abundance of food available in the savannah.
This is likely putting pressure on the small animal populations in the Red Gra, as zebra are competing for the same food sources.
To help prevent the small animal populations from going extinct, we could establish a protected conservation area for the small animals and limit the number of zebra that can graze in the area.
Additionally, we could introduce more vegetation to the savannah to provide more food sources for both the zebra and the small animals. This could help reduce competition between the two groups and create a more sustainable environment for all species.
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a wire with fundamental frequency 357 hz and length 0.54 m is under tension of 1,373 n. calculate the wire's mass per unit length in grams/meter.
When fundamental frequency, length and tension is given then the wire's mass per unit length is 9.23 * 10 ^-3 g/m.
What is fundamental frequency?The fundamental frequency is defined as the lowest frequency of a periodic waveform. Fundamental frequency is defined as the average number of oscillations per second and is expressed in Hertz.
Given ; length , l= 0.54m Tension, T = 1373N
Frequency , f = 357 Hz
f= (1/2l)*(√T/m)
m = T/(4l² f²)
= 1373/(2*0.54² * 357²)
m= 9.23 * 10 ^-3 g/m
The wire's mass per unit length in grams/meter is 9.23 * 10 ^-3 g/m.
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How do you add non-collinear vectors?
Answer:
To add two non-collinear vectors, you first need to draw them on a coordinate plane so that their tails are at the same point. Then, you can use the "tip-to-tail" method to add the vectors. This involves drawing a vector from the tail of the first vector to the tip of the second vector, and this new vector is the sum of the two original vectors.
For example, if you have two non-collinear vectors, A and B, and you want to find their sum, you would first draw them on a coordinate plane so that their tails are at the same point. Then, you would draw a vector from the tail of vector A to the tip of vector B. This new vector, which is the sum of vectors A and B, is the result of adding the two vectors.
To calculate the sum of the vectors using the tip-to-tail method, you would simply add the x and y components of the two vectors separately. For example, if vector A has an x component of 3 and a y component of 4, and vector B has an x component of 5 and a y component of 6, the sum of the two vectors would be a vector with an x component of 8 and a y component of 10.
It's important to note that the sum of two non-collinear vectors is not necessarily a non-collinear vector. The sum of two non-collinear vectors can be a non-collinear vector, a collinear vector, or a zero vector (if the two original vectors are opposites of each other).
a wheel has eight spokes and a radius of 29.5 $cm$. it is mounted on a fixed axle and is spinning at 2.15 $rev/s$. you want to shoot a 22.5 $cm$ long arrow through the wheel, parallel to this axle, without hitting any of the spokes. assume that the arrow and the spokes are very thin and evenly spaced. what minimum speed must the arrow have?
When a wheel has eight spokes and radius and angular velocity is given then the minimum speed that the arrow must have is 3.87 m/sec.
What is spokes?A bar or rod that connects the center of a wheel to its rim is known as spoke. The main purpose of spokes is to support structure of the wheel.
Given: radius = 29.5cm and angular velocity = 2.14 rev/sec
length of arrow = 22.5cm
Angle between spokes = 2π/8 = π/4
Time taken to reach adjacent spoke =Ф/ω
= π/4/ 2.15 (2π)
= 0.058 sec
For the arrow to pass through spokes, time should be less than 0.058 sec.
Then, minimum speed = 22.5/100/0.058
= 3.87 m/sec
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light is refracted through a diamond. if the angle of incidence is 30°, and the angle of refraction is 12°, what is the index of refraction?
Light is bent when it travels through a diamond. If the light rays is 12° and the incidence angle is 30°, the refraction is 2.4.
How is refraction accomplished?Light waves alter in speed as they pass across the boundary that separates two materials with distinct densities, such as air and glass. Refraction is the term for how they change direction as a result.
What produces reflection in light?The rate at which light will change as it travels through one medium before entering another. As a result, refraction happens. The change in medium has an impact on how light passes through air and into water.
Briefing:
Snell's law states:
n₁sinθ₁ = n₂sinθ₂
n₂ = sinθ₁/ sinθ₂
n₂ = sin(30)/sin(12
n₂ = 2.4
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A 2 kg block is pulled with 5.3 N of force to the right. The block experiences 0.9 N of friction. What is the acceleration of the block?
0.265m/sec is the acceleration of the block when it is pulled with force of 5.3n having mass 2kg with friction 0.9N
F=ma, Where as F= force m= mass a= acceleration f = friction
F=5.3N m=2kg a=? f=0.9N
The net force applied on the block is original force - friction force which is
(F-Ff)=ma
5.3- (5.3)(0.9)= 2x a
a= 0.265m/sec
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a gas is in a container with a piston lid and is taken from thermodynamic state, 1, to a new thermo-dynamic state, 2, by several different paths, a, b, and c, in the p-v plane. the internal energy of the gas increases during the process. the work done by the gas is largest for path
The area under the curve in a PV-diagram represents the work done to the gas. If the area is maximum, the amount of work completed will be the highest. In this scenario, area is maximal when we take path A.
The related changes in volume and pressure in a system are represented by a pressure-volume diagram, also known as a PV diagram or a volume-pressure loop.
Thermodynamics, cardiovascular physiology, respiratory physiology, all frequently use them. The fourth and the most basic state of matter is gas. Its possible for atoms to make up a pure gas.
W = P* change in volume = 1.7 * 1.01 * 5.8 * 105 is the formula for the work completed.
W = 9.96 * 10⁵ J
The question is incomplete. The diagram is missing in the question. It is attached to this answer.
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a. If there is to be no relative motion between the train and the edge of the platform, how fast must
the train move compared to the rim speed of the rotating platform?
b. Why is the stairway located at the center of the platform?
2. The design below shows a train that makes round trips from Station A to Station B in a
continuous loop.
a. How is the size of the round platform and train speed related to the amount of time that
passengers have for boarding?
b. Why would this rotating platform be impractical for high-speed trains?
CONCEPTUAL PHYSICS
As per the given statement, If there is to be no relative motion between the train and the edge of the platform the train should move equally as compared to the rim speed of the rotating platform.
What is Relative motion?The motion of one moving body in respect to another fix body is termed as relative motion.
Relative velocity:The velocity of one object in respect to the other one is know as their relative velocity. It is the time rate change of velocity of the first object with respect to the observer or the another object
Given :Relative velocity of train to rotating platform = 0
hence,
as per the equation,
⇒the relative velocity(v)= vt-vp
⇒v relative=0
⇒0=vt-vp
⇒vt=vp
Hence, the velocity of train should be equal to the rim speed of rotating platform.
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a refrigerator is used to cool 3 litres of soft drink from room temperature (23 degrees celcius) down to 5 degrees celcius.
1) If the density of the soft drink is 1015 kg/m cubed, calculate the mass of the soft drink.
2) How much heat energy must be removed in order to cool the soft drink if its specific heat capacity is 4150 J/kg degrees celcius?
The mass of the soft drink is 3.05 kg.
The heat energy must be removed in order to cool the soft drink is 227,835 J.
What is the mass of the soft drink?
The mass of the soft drink is calculated by applying the following formula.
m = ρ V
where;
ρ is the density of the soft drink = 1015 kg/m³V is the volume of the soft drink = 3 Liters = 0.003 m³m = 1015 kg/m³ x 0.003 m³
m = 3.05 kg
The heat energy must be removed in order to cool the soft drink is calculated as;
Q = mcΔθ
where;
c is specific heat capacityΔθ is change in temperatureQ = mcΔθ
Q = 3.05 x 4150 x (23 - 5)
Q = 227,835 J
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lead has a work function of 4.14 ev. (a) find the cutoff wavelength and cutoff frequency for the photoelectric effect. wavelength nm frequency hz
The cutoff wavelength and cutoff frequency of the photoelectric effect is 4.782 ×10⁻¹⁴ m and 0.627 × 10⁻⁶s⁻¹ respectively.
We are given that,
Work function = Φ = 4.14ev
The work function relation can be given by the formula ,
Φ = hc/λ
Where, Φ is the work function , h is the plank's constant , c is the speed of light , λ is the wavelength of the light,
Putting the values in the above equation to get wavelength of light,
λ = hc/ Φ
λ = [(6.62607015 × 10⁻³⁴J-S)(3 × 10⁸m/s)]/ 4.14ev
λ = 4.782 ×10⁻¹⁴ m
The frequency can be calculated by the formula ,
ν = c /λ
ν = (3 × 10⁸m/s)/(4.782 ×10⁻¹⁴ m)
ν =0.627 × 10⁻⁶s⁻¹
Therefore ,the cutoff wavelength and cutoff frequency of the photoelectric effect would be 4.782 ×10⁻¹⁴ m and 0.627 × 10⁻⁶s⁻¹ respectively.
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Two water-skiers, with masses of 48 kg and 61 kg, are preparing to be towed behind the same boat. When the boat accelerates, the rope the skiers hold onto accelerates with it and exerts a net force of 290 n on the skiers. At what rate will the skiers accelerate?
The rate at which the skiers accelerate is 2.7 m/s.
What is force?
A force applied to a body can change the magnitude of the momentum or its direction or both. Newton's second law is one of the most important in all of physics. For a body whose mass m is constant, it can be written in the form F = ma, where F (force) and an (acceleration) are both vector quantities.
What is Ma in force?
Newton's second law is often stated as F=ma, which means the force (F) acting on an object is equal to the mass (m) of the object times its acceleration (a). This means the more mass an object has, the more force you need to accelerate it. And the greater the force, the greater the object's acceleration.
[tex]F=ma[/tex]
Given : m=48+61, F=290N
[tex]290=(48+61)*a\\a=290/109\\a=2.7 m/s^{2}[/tex]
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ased on what you know about meteorites, select all of the correct statements from the following list. Most meteorites come from asteroids. Iron meteorites come from the cores of larger objects. Some stony meteorites resemble cooled lava Like most meteorites, stony meteorites come from comets and asteroids. Stony meteorites come from the outer layers of larger objects Iron meteorites cooled from their molten state very quickly Most meteors come from comets.
The correct statements are Stony meteorites come from the outer layers of larger objects and Most meteors come from comets.
In geologic terms, it is the crust of our planet, which is described in a dictionary as "the outermost solid layer of a planet or moon." Because it contains a lot of oxygen and water, our planet's outer crust is very unique compared to that of other solar system bodies. Rain, wind, and ice have continuously shaped and changed the surface of our planet.The Earth's crust is made up of sedimentary rocks, many of which are abundant in fossils, or the remains of extinct life forms, but no evidence of life on other planets has yet been found in these rocks.The most typical type of meteorite, stony meteorites, typically contain 75 to 90 percent silicon-based minerals, 10 to 25 percent nickel-iron alloy, and minute amounts of iron sulfide.Stony meteorites fall into two different categories and make up roughly 94% of observed meteorite falls that are Chondrites and Achondrites.To study more about Stony meteorites -
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Compare and contrast the ways magnetic poles interact with the ways
electric charges interact
PLEASE HELP ME .
In the electric field, the like charges repel each other, and the unlike charges attract each other, whereas in a magnetic field the like poles repel each other and the unlike poles attract each other.
What are electric and magnetic field?Electric field is a region or space around a conductor where electric force can be felt. While magnetic field is the region or space around a bar magnet where magnetic force can be felt. Electric and magnetic force are both force field and they are both vector field.
In electric field, like charges repel and unlike charges attract similarly like poles repel and unlike poles attract in magnetic field.
One difference between magnetic poles and electric charges is that magnetic pole always appear on a magnet as north and south pole but a single entity of charge can exist.
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Whoever answers get 10 points
If a full moon is visible on November 2, then waning crescent would be the next phase on November 13. If 21 October has waning crescent moon then 29 would have waxing crescent moon.
How long are moon phases?
Moon phases vary in length, depending on the position of the Moon relative to Earth. During a single orbit of the Moon, it passes through eight distinct phases, each lasting an average of three and a half days. The phases in order are the New Moon, Waxing Crescent, First Quarter, Waxing Gibbous, Full Moon, Waning Gibbous, Last Quarter and Waning Crescent. During a lunar cycle, the Moon passes through each of these phases in the same order, taking an average of 29 days, 12 hours, and 44 minutes to complete the cycle.
After 11 days a full moon transitions to a waxing crescent moon. After 8 days a waxing crescent moon goes from waning to waxing crescent moon.
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What is the change in internal energy if 30 J of heat are released from a
system and the system does 50 J of work on its surroundings?
Use AU = Q-W.
A. 80 J
B. -80 J
C. 20 J
D. -20 J
Answer:
Explanation:
Given:
Q = 30J (The system did not prepare energy, but allocated)
W = + 50 J (System operation)
__________________
ΔU - ? (Change in internal energy)
ΔU = Q - W = 30 - (50) = - 20J
what materials can I use in an egg drop project to show equal forces acting in the opposite direction? And to show The acceleration of an object is connected to the force which is acting on it.
please respond to both of them and give the best answer possible
thank you
Answer:
Two coins.
Explanation:
place the at the sharp point
Suppose you are camping on a mountain and the air temperature is very cold. How would you keep warm? Would you build a fire or set up a tent?
Answer:
Build a fire
Explanation:
Two plasticine balls have a mass of 30 g and 15 g. The balls inelastic collided, moving towards each other at speeds of 2 m / s and 3 m / s, respectively. Determine the speed of the balls after the collision. How much has the kinetic energy of the system changed after their collision?
The velocity of the balls after collision is 0.33m/s and the loss in kinetic energy is 0.126J
What is inelastic collisions?Inelastic collision occur when only the momentum is conserved but there is loss in kinetic Energy.
This means that the momentum before collision is equal to the momentum after collision.
therefore m1v1+(-m2v2) = (m1+m2)v . where v is the common velocity after collision. The negative sign shows that they are moving in opposite direction.
m1= 30g = 0.03kg
m2 = 15g = 0.015kg
v1 = 2m/s
v2 = 3m/s
0.03× 2- 0.015× 3= (0.03+0.015)v
0.06-0.045= 0.045v
0.015= 0.045v
divide both sides by 0.045
v = 0.015/0.045
v= 0.33m/s
the kinetic energy before collision = ½×0.03×2²+½×0.015×3²
= 0.06+0.068= 0.128J
kinetic energy after collision = ½× 0.045× 0.33² = 0.0025J
loss in kinetic energy= 0.128J -0.0025J = 0.126J
therefore the The velocity of the balls after collision is 0.33m/s and the loss in kinetic energy is 0.126J
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a large truck tire is inflated to a gauge pressure of 74 psi. the total area of one sidewall of the tire is 1,190 in2. what is the net outward force (
Therefore, the large truck's net outward force is 88,060 lb. Its gauge pressure is 74 psi, and one tire's sidewall's total covered area is 1190 in2.
What is gauge pressure?When compared to atmospheric pressure, gauge pressure is the amount of pressure. Gauge pressure is positive for pressure above atmospheric pressure and negative for pressures below it. In actuality, any fluid not contained in a rigid container will experience an increase in pressure due to atmospheric pressure. Because of Pascal's principle, this occurs. A diaphragm sensor can be used to measure gauge pressure, with one side of the diaphragm exposed to the pressure medium that needs to be measured and the other exposed to the surrounding atmospheric pressure.
What is gauge pressure formula and why it is used?Pg denotes gauge pressure, which has the following relationship to absolute pressure: Assuming that pa is the local atmospheric pressure, pg = p - pa. Example: The tire pressure is 32.0 psi, according to an automobile tire gauge. The surrounding atmosphere has a 14.2 psi pressure.
To monitor the pressure in a system as a quality control measure and to guarantee product consistency, pressure gauges are a crucial tool employed by industry. Pressure gauges keep an eye on the fluids, gases, and steam in a system to look for leaks or a buildup of pressure for safety reasons.
Briefing:Gauge pressure = 74 psi
One sidewall area of tire = 1190 in2
Thus, the equation will be:
Net outward fore = Gauge pressure × Area of one sidewall of tire
Net outward force = 74 × 1190
Net outward force = 88,060 lb
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how can i shift? ive been trying for a year? ive done everything :/
Answer
Explanation: Ok so I had a lot of trouble with this too. What I did was get some butter beans and put them under my pillow (If you don't have butter bens then butter works but must be unsalted country croks butter. I can't believe it's not butter will not work because the spirit people know and will put a spell on you. Then you get a 8lb. sweet potato and tie it to a piece of tweed and hand it on your fan at the highest setting until it flies out the string. Where ever it lands is where you sleep. Sleep with the potato where it landed. 30 minutes before you go to bed brush your teeth with a special drink.
Drink Ingredients:
2 spinach leaves
1 ounce of maple syrup
3 spoons of coco butter
1 rabbit ear
7 bear hairs
2 toe nail clipping form your dad (If you don't have one then I would give up)
When you drink this and go to sleep dream about the magical elves and eaves that will come to you in your dream. They'll give ask you a question where you will answer "Yes papas fritas"
A large disformed mutant will appear. Don't be afraid. Approach with confidence.
After that a glowing door will appear and BAM you're shifting.
*Pls note this could end in serious harm and danger I do not recommend attempting as it can result in death, a coma, or other injury. Have a Beautiful day :)
intermediate level a 30 micro f capacitor is connected to a 9 v battery calculate the charge on the capicot
When a 30 micro of capacitor is attached to the a 9 v battery at its intermediate level, the equation states that 2.7μC is the charges on the capacitor.
What is the basic principle of a capacitor?A capacitor operates on the basis that capacitance of the a conductor exhibits rise when a grounding conductor is introduced near it. As a result, the capacitance has parallel plates that are spaced apart from one another and facing in opposing directions.
What is a capacitor used for?Two conductors that are separated from one another and positioned close to one another make up a capacitor, a electrical energy storage device. A parallel-plate capacitor is a simple example with one such storage device.
Briefing:If we rearrange the previous formula to account for C=30F and V=9v in our issue, we can calculate the charge held in the capacitor:
Q=CV
=(30μF) (9v)
=2.7μC
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which type of meteorite is rich in volatiles and thus provides the best samples of the solar nebula?
Carbonaceous Chondrites are rich in volatiles and thus provide the best samples of the solar nebula.
Meteorites may contain roughly spherical particles called “chondrules”, and these meteorites are accordingly called “chondrites.”
Chondrites which are often porous in structure and tend to be quite dark due to a large presence of organic, i.e., carbon-containing, substances, are called “carbonaceous chondrites.”
All Carbonaceous chondrites are rather porous and contain significant amounts of water and organic substances. So, they are rich in volatiles.
Carbonaceous chondrites are considered to be the most primitive objects in the solar system, and they can provide valuable insights into the conditions that existed during the very earliest days of the solar system. So, they are the best samples of the solar nebula.
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Batman (95kg) is standing on top of a 50m high building looking out over the city of Gotham. Given that he uses the potential energy to swoop down to save his city, how much energy does he have by going up so high?
Answer:
47 kJoules (kJ)
Explanation:
Potential enegy on Earth is given by the relationship:
P.E. = mgh, where m is mass, g is the acceleration due to Earth's gravity, and h is height. Since we are given metric values, we will look for an answer that is consistent with Joules, the metric measure of energy. 1 Joule is defined as 1 kg*m^2/s^2, so we wnat units of kg, m, and sec.
We are given:
m = 95kg
h = 50 meters
Earth's gravity, g is 9.8 m/s^2
Enter the data:
P.E. = mgh
P.E. = (95kg)(9.8m/s^2)(50m)
P.E. = 46550 kg*m^2/s^2 or 46550 Joules(J)
Since we only have 2 sig figs, and since 1kJ =- 1000J
We can state the potential energy is 47kJ.
Spiderman has 47kJ of potential energy for the start of any dive back to Earth. [He needed that same amount of energy to reach that height, but we don't know from where it came. A jump, helicopter, beamed up by Scotty, or tossed up by Doctor Octopus.]
Students conducted a pendulum experiment to demonstrate the conservation of
energy principle. The diagram shows the pendulum at different points of its swing.
Which number(s) on the diagram would correspond to the point(s) of the pendulum's
swing with the least kinetic energy?
Answer:
1 and 5
Explanation:
Kinetic energy is the energy that an object possesses due to its motion. Since the pendulum has 0 velocity at points 1 and 5, and it is at those points that the pendulum is furthest from its equilibrium position, we say that it has no kinetic energy and maximum potential energy.
A student plans to investigate how different factors affect the rotation rate of a hand-made motor when connected to a battery. The student will test a different variable in each investigation: the voltage of the battery (V), the number of loops used in the wire coil, and the number of magnets used below the loops. The first table shows details and predictions for investigation 1. How should the student design investigation 3 to finish testing the factors that affect the rotation rate of a motor?
The student should continue investigation as previous ones but increase the number of magnets.
In this investigation,
keep the voltage of battery constantkeep the number of loops constantchange the number of magnetsThe rotation rate depends on voltage , number of loops and number of magnets.
In investigation 1 , voltage is changed keeping others constant.
In investigation 2 , number of loops is changed.
So in Investigation 3 , number of magnets should be changed.
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Can someone help with this question
Answer:
oxygen, hydrogen, and sulfur. It has a molecular weight of 98.079 g/mol. H2SO4 works as an oxidizing and dehydrating agent.
Explanation:
Oxygen and hydrogen are the water elements made from nature
Answer:
3 elements:
HydrogenSulfurOxygenExplanation:
H₂SO₄ is the chemical formula for Sulfuric Acid.
An element’s chemical symbol is a single capital letter or a capital letter followed by a lower case letter.
The subscript number after the element's symbol indicates how many of that atom are in the compound.
Therefore:
H₂ means there are two hydrogen atoms.S means there is one sulfur atom.O₄ means there are four oxygen atoms.(If there is no number after an element, assume there is one atom of that element).
Note: If there is a number in front of the compound (the "coefficient"), multiply the subscript for each element by the coefficient.
Therefore, for H₂SO₄ there are:
3 elements7 atomswhich cell componetes are reponsible for the inherited traits that a pea plant possesess
Answer:
DNA, nucleus, chromosomes
calculate the mass defect in fe-56 if the mass of an fe-56 nucleus is 55.921 amu. the mass of a proton is 1.00728 amu and the mass of a neutron is 1.008665 amu.
The mass defect of Fe -56 atom with a mass of 55.921 amu and having 26 protons and 30 neutrons is 0.52823 amu.
What is mass defect?Mass defect is the difference in the original mass of the atom from the mass added by the mass of protons and neutrons. Let Mp be the mass of protons and Mn that of neutrons and mass of electrons is negligible.
mass defect Δ M = [Z Mp + (A-Z) Mn )] - Matom
Given mass of protons Mp = 1.00728 amu
Mn = 1.008665 amu.
Number of protons = 26 and neutrons = 30
Then, Δ M = [(26 ×1.00728 amu) + (30 ×1.008665 amu )] - 55.921 amu
= 0.52823 amu.
Hence, the mass defect of Fe- 56 is 0.52823 amu.
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Use your own personal example of a decision you made and write a reflection
about ethical reasoning. Please keep in mind that your classmates will be seeing
this post. Don't choose a decision that is too personal for others to read. Discuss
the following questions in your reflection:
What if everyone made decisions like this?
What if you were the "other person" in your problem? How would you feel about
your decision?
What if you were in a different but similar situation? Would your decision be
different?
Comment on some of the entries of your classmates. Refer to the discussion rubric
for guidance.
Answer:
Use the own word element
Explanation:
Dont choose a decision that is too personal for others to read.
1. Calculate the elastic potential energy when a spring with a spring constant of 15 N/m is extended by the
following amounts:
a) 1 m
d) 15 m
g) 0.3 m
b) 125 cm
e) 13 m
h) 12 m
c) 99 m
f) 120 cm
i) 0.05 km
The elastic potential energy will be =
For a) 7.5J
For d) 1687.5J
For g) 0.675J
For b) 11.718J
For e) 1267.5J
For h) 1080J
For c) 73507.5J
For f) 10.8J
For i) 18750J
According to the formula for calculating elastic potential energy,
Elastic potential energy (u) = 1/2 x spring constant x [tex](amount of extension)^{2}[/tex]
Let was calculate the value of 1/2 x spring constant to simplify the equation = 1/2 x 15 = 7.5
for a) 7.5 x [tex]1^{2}[/tex] = 7.5J
for d) 7.5 x [tex]15^{2}[/tex] = 1687.5J
for g) 7.5 x [tex]0.3^{2}[/tex] = 0.675J
for b) 7.5 x [tex]1.25^{2}[/tex] = 11.718J
for e) 7.5 x [tex]13^{2}[/tex] = 1267.5J
for h) 7.5 x [tex]12^{2}[/tex] = 1080J
for c) 7.5 x [tex]99^{2}[/tex] = 73507.5J
for f) 7.5 x [tex]1.2^{2}[/tex] = 10.8J
for i) 7.5 x [tex]50^{2}[/tex] = 18750J
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