Answer:
The correct option is (d).
Explanation:
The energy a particle has because of its charge and its position relative to another particle is called thermal energy. It is the energy that comes from heat. This is generated by the movement of the particles in an object.Thermal energy is the energy an object or system has due to the movement of particles within.Hence, the correct option is (d).
The thermal energy is related to the kinetic energy of atoms, ions, and molecules.
What is thermal energy?The thermal energy of any material is defines as the increase in the internal energy of the material.
When ever heat is given to the material, the atoms and the molecules in the material gains energy and moves with a kinetic energy.
The increase in kinetic energy allows the atoms and the molecules to move with higher velocities in the material, and they collide with each other, thus the temperature of the material increases.
Thus the thermal energy is related to the kinetic energy of atoms, ions, and molecules.
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a man seeking to set a world record wants to tow a 118,000-kg airplane along a runway by pulling horizontally on a cable attached to the airplane. the mass of the man is 93 kg, and the coefficient of static friction between his shoes and the runway is 0.79. what is the greatest acceleration the man can give the airplane? assume that the airplane is on wheels that turn without any frictional resistance.
The greatest acceleration the man can give the airplane is 6.102*10^-3 m/s^2
What is a frictional force ?
The force produced when two surfaces slide past one another and make contact is known as frictional force. The surface texture of these forces and the amount of force pressing them together have the biggest impact.
Mass of the person
m1 = 93kg
Mass of the air plane
m2 = 118000 kg
Coefficient of static friction between the shoes of the person and floor
μs=0.79
Acceleration due to gravity
g=9.8m/s^2
The maximum force the person can apply on the floor is equal to his weight
F = w = m1∗g
= 93∗9.8=911.4 N
The maximum frictional force he can get from the floor is the product of coefficient of static friction and normal reaction
Ff = μs∗N
= μs∗W
= 0.79 ∗ 911.4 = 720 N
Let's assume that the individual is able to use or apply the entire frictional force in pushing the airplane.
Following that, the relationship can be used to determine the acceleration an air plane created.
Ff = m2 * a
a = Ff/m2
= 720/118000
= 6.102*10^-3 m/s^2
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a 3 * 10 to the power -3 kg copper penny drops a distance of 50 m to the ground. if 65 percent of the initial potentia energy goes into increasing the internal energy of the penny, determine the megnitude of that increase.
can some genius explain this to me please?
Explanation:
The magnitude of the increase is 0.9555J
Explanation
Potential Energy (PE) = mgh mass(m) = 3 * 10 ^ - 3 * kg
, acceleration due to gravity (g) = 9.8m / (s ^ 2) distance(h) = 50m PE = 3 * 10 ^ - 3 * 9.8 * 50 = 1.47J Increase in internal energy = 65% of 1.47J = 0.65 × 1.47J
= 0.9555J
A ball of mass M is on a horizontal surface with negligible friction. One end of a string is attached to the ball so that it is spun in a horizontal circle of radius R at a tangential speed vo, as shown in Figure 1. A free-body diagram for the ball at an instant in time is shown in Figure 2. The magnitude of the tension force is also indicated in Figure 2. Which of the following equations represents the centripetal acceleration of the ball if its tangential speed is increased to 2vo ?
The centripetal acceleration of the ball if its tangential speed is increased to 2 v₀ is (4 M v₀²)/R.
The centripetal force equation that we are aware of is
F = (m* v²)/r ----(1)
where,
m is the of the ball
v is the velocity
r is the radius
We are aware that F = m* a ----(2)
Equating (1) and (2), we have,
m* a = (m* v²)/r
a = v²/r -----(3)
where, a is centripetal acceleration
In this problem, it is said that, the tangential speed is increased to 2 v₀, then the centripetal acceleration
So, v = 2 v₀, r = R
Substituting the values in (3), we have,
ac = (2 v₀)²/R = 4 v₀²/R
Thus, the required centripetal acceleration is 4 v₀²/R.
The question is incomplete. The complete question has the missing figures that are attached in the attachment below.
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What is the line segment formula?
Formula of
Line segment
is AB =
[tex]\sqrt{(x_{2} -x_{1} )^{2} } +\sqrt{(y_{2} -y_{1} )^{2} }[/tex]
Line segment
is a part of line with definite length. It has two ending points whereas a line has no end points and extended infinitely in both the direction. Line which joins both ending points with possible shortest way is known as
Line segment
.
A ______________________ B
(x₁,y₁) (x₂,y₂)
This line segment can be represented as [tex]\frac{}{AB} /\frac{}{BA}[/tex]. In other word we can say line segment is
subset
of line, so it contains all the points of line lying between both end point of segment. For shorter length it can simply measure by
ruler
. A bar (-) is always on top of its notation {[tex]\frac{}{AB}[/tex]}.
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Formula of Line segment is AB = [tex]\sqrt{(x_{2}-x_{1})^{2} } +\sqrt{(y_{2}-y_{1})^{2} }[/tex]
Line segment
is a part of line with a definite length. It has two ending points whereas a line has no end points and extended infinitely in both the direction. Line which joins both ending points with possible shortest way is known as
Line segment
A ______________________ B
(x₁,y₁) (x₂,y₂)
This line segment can be represented as[tex]\overline{AB}/\overline{BA}[/tex] . In other word we can say line segment is subset of line, so it contains all the points of line lying between both end point of segment. For shorter length it can simply measure by ruler A bar (-) is always on top of its notation {[tex]\overline{AB}/\overline{BA}[/tex]}.
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Which force is greater static or sliding friction?
Sliding friction is significantly less than static friction for a pair of specified surfaces. because moving an object in motion is simpler than moving an object at rest.
Why do sliding and static friction differ?Contact points are not given enough time to fully interlock while sliding. thus, less friction. But because the surfaces interlock so effectively while the object at rest, friction increases. The difference between static and sliding friction is thus explained.
Why is static friction at its highest?Friction force has an identical amplitude in the reverse direction to any little force applied to an object. The greatest static friction force on an item is s times the usual force.
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two drivers make 100-km trips. Driver 1 complets the trip in 2 hours. Driver 2 takes 3 hours but stops for an hour halfway. which driver has a greater average speed? Explane
Answer:
Driver 1
Explanation:
In this scenario, driver 1 has a greater average speed than driver 2. To determine the average speed of a driver, we need to divide the distance traveled by the time it took to travel that distance. In the case of driver 1, who traveled 100 km in 2 hours, their average speed would be 100 km / 2 hours = 50 km/hour. For driver 2, who traveled 100 km in 3 hours but stopped for an hour halfway, their average speed would be 100 km / (3 hours - 1 hour) = 33.33 km/hour. Since 50 km/hour is greater than 33.33 km/hour, driver 1 has a greater average speed.
1. How did the rock of the Great Plains and Rocky Mountains form?Choose the claim you can eliminate. ResponsesThey formed as one rock formation, and then something separated them.They formed as one rock formation, and then something separated them.One rock formation formed before the other. Then, the minerals from the older rock became part of the younger rock.One rock formation formed before the other. Then, the minerals from the older rock became part of the younger rock.3What do we still need to know in order to determine why the two rock formations have such similar minerals?Evidence Card E: Rocky Mountains. Photo of the Rocky Mountains. Observations: The large mountains have jagged tops. The chunks of rock vary in size. The rock appears to be light and dark gray. There is a forest at base of the mountains.Evidence Card C: Rock from the Rocky Mountains. Photo of a rose-colored rock with dark veins. Observations: The rock contains visible pink, dark gray, and light brown grains. The grains fit together. The grains have sharp edges. There are no bubbles or fossils in this sample.2Why can we eliminate the claim you selected?
Rocky Mountains and Great Plains rock came together to form one rock formation, but then something tore it apart. The first claim is true while the second claim needs to be eliminated
What are rocky mountains?It should be remembered that the Rocky Mountains and the Great Plains are two separate rock formations that did not form simultaneously. The older rock's minerals were not incorporated into the younger rock as a result.
After combining the rock from the Rocky Mountains and the Great Plains to form one formation, something tore it apart. As a result, the second claim must be rejected because it is false.
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What is a 3 wavelength lamp?
A 3 wavelength lamp is a type of light therapy device used to improve skin health and appearance.
What is wavelentgh?Wavelength is the distance between two successive peaks or troughs of a wave, such as light, sound, or other forms of energy. It is measured in meters or nanometers and is related to the frequency of the wave, as the frequency is inversely proportional to the wavelength. Wavelength can also be used to describe the physical size of an object, such as a particle or cell.
It emits both visible and invisible light in three different wavelengths, namely red, blue and near-infrared. The red wavelength helps to reduce inflammation and improve circulation, while the blue wavelength helps to kill acne-causing bacteria. The near-infrared wavelength helps to boost collagen and elastin production, which can help to improve skin texture and firmness. This type of light therapy is effective in treating a number of skin conditions and has been used in clinics and spas for many years.
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A 2 kg stone moves with a speed of 1 m/s. A second 2 kg stone is moving twice as fast. Compare their kinetic energies.
The second 2 kg stone has four times the kinetic energy of the first 2 kg stone.
The kinetic energy of an object is equal to (1/2) * m * v^2, where m is the mass of the object and v is the velocity of the object.
For the first 2 kg stone, the kinetic energy is
(1/2) * 2 kg * 1 m/s^2 = 1 kg m^2/s^2.
For the second 2 kg stone, the velocity is twice as fast, so the kinetic energy is
(1/2) * 2 kg * (2 m/s)^2 = 8 kg m^2/s^2.
The second 2 kg stone has 8 kg m^2/s^2 of kinetic energy, which is four times the kinetic energy of the first 2 kg stone, which has 1 kg m^2/s^2 of kinetic energy.
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Coach Carver has created a new team game for his students to play. It involves sprinting, tagging, and throwing a ball. Each team consists of 30 to 40 students. Which place is the safest to play the game?
a. an outdoor basketball court
b. a gymnasium
c. an empty classroom
d. a football field
The safest plays to play sprinting, tagging, and throwing the ball is d) a football field
A football/soccer field is a rectangular field surrounded by lines called perimeters. The two long lines are the touch lines and the two short lines are the goal lines. It is divided in half by the midline connecting the midpoints of the two contact lines. The field is 100 yards long, with 10-yard end zones for each team. The field has stripes across the width of the field at 5-yard intervals. The soccer field is 160 feet wide. The games that can be played on the football field are sprinting, throwing the ball, tagging, etc.
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in a closed system, an object with a mass of 10 kg moves at a velocity of 5.4 m/s. it collides with a second object that has a mass of 12 kg and that is moving in the opposite direction with a velocity of 3.5 m/s. what is the total momentum of the system after the collision?(1 point) responses 42 kg-m/s
The total momentum of the system after collision is 12 kg-m/s.
What is collision?Two items collide when they come into brief physical touch with one another. Or to put it another way, a collision is a reciprocative engagement between two masses that lasts for a relatively brief time and results in a change in momentum and energy.There are, however, three distinct types of collisions: elastic, inelastic, and absolutely inelastic. I'll say it again: in all three categories of collisions, momentum is preserved. The transformation of kinetic energy characterizes collisions.A collision is an instantaneous interaction between two or more bodies, occurring at the same time, that modifies the motion of the bodies involved as a result of the internal forces acting on them. Conflicts involve troops (there is a change in velocity). Before impact, there is a significant differential in velocity that is this size.To learn more about collision refer to:
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A ball of putty is dropped from a height of 2 m onto a hard floor, where it sticks. Think what object or objects need to be included within the system if the system is to be isolated during this process? and check the object that no apply.
The floor and the ball must both be included for the released ball to be in an isolated system.
What does the conservation of linear momentum entail?
According to the conservation of linear momentum concept, a system's overall momentum is conserved in an isolated setting.
A system that is isolated is one that is unaffected by outside forces.
The items required to be included for the released ball to be in an isolated system are the floor and the ball.
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which wavelength of the band on the helium emission line spectrum has the most energy? which has the lowest?
The light emitted by hydrogen atoms appears red because the most intense line in its spectrum, at 656 nm, is in the red section of the visible spectrum.
The principal quantum number(n) for the Lyman series is 1. As a result, the Lyman series has the highest energy in the hydrogen spectrum. This is due to the fact that helium has more electrons than hydrogen. Helium has two, while hydrogen has only one. More spectral lines will be noticed as more electrons are stimulated. Helium therefore has more spectral lines than hydrogen. Gamma rays are the most energetic, have the shortest wavelengths, and have the highest frequencies.
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What is the i in the Ohm's law?
When a ball at a billiard table hits another ball it is an example of elastic collision?
The collision of two billiard balls is an example of elastic collision.
An elastic collision is a collision where Kinetic energy is preserved. In this type of collision, there will be no change in overall kinetic energy and momentum.
An inelastic collision is where the Kinetic energy is not preserved. Here some of the kinetic energy is transferred to some other form of energy like thermal energy or sound energy.
In both type of collisions, momentum is preserved. There are fewer examples of perfectly elastic collision in real life. Collisions in atomic levels are examples of perfectly elastic collisions. But some collisions where the energy loss is negligible are considered elastic collisions. One such example is the collision of the billiard balls.
So when a billiard ball hits another it is an elastic collision.
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given a uniform one meter long stick with a mass 0.100 kg a mass of 0.020 kg is placed 5.00 cm away from the end of the stick om the table g how far can the center of mass of the stick be moved to the right before the stick begins to rotate
The center of mass of the stick will be moved above 79.2 cm to the right before the stick begins to rotate.
What is the equilibrium position of the meter rule?
The equilibrium position of the meter rule is the point at which all the forces acting on the meter rule sums to zero.
The equilibrium position of the meter rule is determined by taking moment about the center mark or the end position.
-------5cm---------------------------------------------------------100cm
↓ x ↓
0.02 kg W
sum of anticlockwise moment = sum of clockwise moment
0.02 (x) = W (100 - (5 + x) )
0.02x = 0.1 ( 100 - ( 5 + x ) )
0.02x = 0.1 ( 100 - 5 - x )
0.02 x = 10 - 0.5 - 0.1x
0.12 x = 9.5
x = 9.5 / 0.012
x = 79.2 cm
Thus, when the center mass is moved any distance above 79.2 cm, the meter stick will begin to rotate.
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What type of metamorphosis do hive beetles undergo?a. completeb. incompletec. mesocomplete
Insects can change gradually through progressive metamorphosis or completely through total metamorphosis.
Some insects, including beetles, ants, bees, wasps, butterflies, moths, and bees, develop through a special life cycle known as full metamorphosis. Egg, larva, pupa, and adult are the four separate phases of complete metamorphosis. One type of insect that undergoes complete metamorphosis is the beetle, which includes ladybugs. Butterflies and flies are two examples of common and recognised insects that undergo complete metamorphosis. Beetles, bees, wasps, ants, and fleas are among other insects that undergo complete metamorphosis. Termites, praying mantises, and cockroaches all go through partial metamorphosis. Ants, fleas, and wasps all go through a full metamorphosis. Complete metamorphosis is finally distinguished from other types of growth by the several stages that are produced with each
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Collaborative problem solving involves all of the following except a) a chorus where different individuals sing different notes of a song to create harmony. b) the jigsaw problem where different members of a group contribute to the solution Oc) a consensus-building task where different points of views must be considered d) negotiation tasks where the best possible solution depends upon consideration of different perspectives.
Yes, option a—a chorus where different people sing different notes of a song to generate harmony—is the right response.
The definition of the term "collaborate" according to Webster's Dictionary is "to work jointly or together, especially in an intellectual pursuit." Therefore, collaborative problem solving (CPS) is basically a cooperative effort to solve difficulties. There are four components to the Xandar task in the CPS task harmonization that PISA has made available. The components of the task require the respondent to work together to create a method for solving problems, put the method into practice, arrive at a solution, and assess the answer. For instance, if parents in a custody battle appear to back and forth on childcare arrangements, it may be a sign that one parent has concerns about
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What does MgBr2 mean?
The chemical formula of Magnesium Bromine MgBr₂.
Magnesium bromide is a chemical compound which is formed by the combination of magnesium and bromine.
The chemical formula of Magnesium Bromine MgBr₂.
The colour of Magnesium Bromine is white and it is a very deliquescent crystalline type solid in nature.
It can be sometimes used as a mild sedative and also we can use is as an anticonvulsant which is commonly used in the treatment of nervous disorders.
It can be easily soluble in water and sometimes it can also be easily dissolved in alcohol.
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How do you solve wavelength and frequency problems?
λ = v/f. Wavelength, velocity, and frequency are all given in units of meters, seconds, and hertz (Hz).
Which two equations represent wave speed?Wavelength and frequency are related to wave speed via the wave speed equation (Speed = Wavelength x Frequency). This equation can be used to determine wave speed when the wavelength and frequency are known.
Which two frequency formulas are there?The frequency formula in terms of time is provided as follows: f = 1/T, where T is the duration of one cycle in seconds and f is the frequency in hertz. The formula for calculating frequency in terms of wavelength and wave speed is given as f = /, where is the wave speed and is the wavelength of the wave.
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How long will it take for a 40.0 gram sample of I 131 half-life 8.040 days to decay to 1 100 its original mass?
It will decompose to 1/100 of its initial mass in 53.4 days.
How long before half of a sample of 131i decays?A radioisotope with an 8-day half-life is iodine-131. By emitting beta particles, it decomposes into xenon-131. Any sample of iodine-131 will have lost half of its atoms after eight days, leaving the sample with a composition of 50% iodine-131 and 50% xenon-131.
How is decay rate determined?The deterioration rate is expressed as a percentage. The decimal equivalent can be obtained by simply reducing the percentage and multiplying it by 100. Therefore, it is possible to determine the decay factor b = 1-r. For instance, the exponential function's decay rate is 25% if the rate of decay is 0.25 and b = 1- 0.25 = 0.75 for the decay factor.
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How do you solve a system of equations in Mathematica?
We first perform an algebraic solution to the equation before using N to obtain a numerical solution. Alternately, we might use NSolve to begin by numerically solving the equation.
What method of equation solving is the simplest?Systems of equations can be solved using one of three techniques: graphing, substitution, or elimination. To answer a problem by graphing, just plot the given equations on a graph and identify the point(s) where they all intersect.
System of differential equations can Wolfram solve?The differential equation solving functions of the Wolfram Language can be used to solve a wide variety of differential equation classes, automatically choosing the best techniques without user preprocessing.
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the equivalent capacitance is a. 9 μf b. 6 μf c. 3 μf d. 2 μf e. 1 μf
The equivalent capacitance is 21 μF.
In electrical engineering, equivalent capacitance often abbreviated as C eq—is a measurement of the total combined electric charge held in two or more capacitors connected in series or parallel. A capacitor is an electrical device that stores electrical energy into the electric field. Typically, a capacitor has two electrical leads that are separated by a dielectric or other insulating substance.
We are given that,
capacitance =c₁ =9 μF
capacitance = c₂ =6 μF
capacitance = c₃ = 3 μF
capacitance = c₄ =2 μF
capacitance = c₅ = 1 μF
Thus If the capacitor is connected in parallel the equivalent capacitance, cₐ can be calculated by the equation,
cₐ= c₁+c₂+c₃+c₄+c₅
cₐ = 9 +6 +3 +2+1 μF
cₐ = 21 μF
Therefore , The equivalent capacitance would be 21 μF.
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Classify the measurements as having English units or metric units. English units Metric units Answer Bank 2.50 lb 2. 20 kg 335 ml. 33.21 oz 12.2 26.9 mm Now, classify the units of the measurements as units of length, mass or volume.
A decimal system of measurement, the metric system was developed in France in 1799 and has since been widely used around the world.
The metric system serves as the foundation for the International System of Units, the universally accepted system of measurement. Although the United States legal framework was modified in 1866 to permit the use of the metric system, the country has not yet adopted it as its "official" system of measuring. Body-based measuring was the foundation on which the United States English System of measurement was built. Traditionally, the foot, the inch, and the pound have served as the foundational units of measurement in the English system. Metric prefixes like kilo, Millis, and centi are used to denote multiples of a base unit, such as the meter or the gram. When it comes to measuring length, the English system has a bad reputation.
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the plate area of a parallel-plate capacitor of capacitance c is doubled and the distance between the plates is halved, so that the volume of the dielectric remains the same. the new capacitance of the capacitor is
The new capacitance of the capacitor is Cf = 4Ci is the correct answer.
What is capacitance?Capacitance is an electrical property of a material or system that is related to the amount of charge it can store in an electric field. It is measured in Farads (F), which is the ratio of the electric charge stored on a capacitor to the applied voltage. In other words, it is an expression of the ability of an electrical system or component to store energy in the form of an electric field. It is an important factor in the design of electrical systems, and can be used to control the flow of electric current in circuits. It is also used to measure the amount of voltage that a capacitor can sustain before its capacitance decreases.
Using the Capacitance theorem
Given:
Capacitance of Parallel Plate Capacitor = C
Area = 2A
Distance = 1/2d
Volume of the dielectric remains the same.
New Capacitance =?
1. Initial Capacitance can be written as:
Ci = A ∈0 / d
2. After putting the desired values of area and distance.
Cf = 2A ∈0 / (d/2)
Cf = 4A ∈0 / d
Cf = 4Ci
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Identify the part of the neuromuscular junction at B: B A Axon Terminal O Dendrites Axon branches O Muscle fiber Identify the structure at A: В. A O muscle fiber dendrites O axon terminals O axon branches
B. the building at A O muscle fibre dendrites O branches and axon terminals. The 'B' structure consists of axon branches and Axon terminals are the structure designated "A."
1). The structure labeled "B" is: Axon branches
-Because a motor neuron's axon has multiple branches that come together to form a neuromuscular junction, one of its axons can innervate numerous muscle fibers.
- These branches carry potential action in the direction of certain synaptic knobs.
2). The structure labeled "A" is: Axon terminals
-It creates a neuromuscular connection with the motor end plate of the sarcolemma and features a bulged structure at its most terminal end.
- Neurotransmitter is exocytosed from the axon terminal.
- Synaptic cleft is the area between the sarcolemma and the synaptic knob at the axon terminal.
Any of the button-like ends of axons through which axons create synaptic connections with other nerve cells or with effector cells is known as an axon terminal. Neurotransmitter-containing synaptic vesicles bind at the axon terminal. The cell opens up to calcium ions upon activation by a graded potential or by an action potential of the presynaptic neuron. This starts a chain reaction that leads to the synaptic vesicles fusing into the axon terminal membrane. The synaptic vesicle proteins that the calcium ions activate create fusion holes that allow the neurotransmitters to leave. The effects of the neurotransmitters on the target cell only last for a brief period of time.
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What are the 10 common genetic disorders?
The 10 most prevalent genetic disorders include albinism, Angelman syndrome, Ankylosing spondylitis, Apert syndrome, Charcot-Marie-Tooth disease, Congenital adrenal hyperplasia, Cystic fibrosis, and Down syndrome.
What genetic ailment is the most prevalent?The most prevalent, deadly hereditary disease in the US is cystic fibrosis (CF). The condition affects about 30,000 persons in the US.
What exactly do you mean by genetics?How traits and genes are passed down from one generation to the next is the main topic of genetics research. Our DNA contains information that affects our personalities, looks, and even health! Everything starts with genetics. One child has blonde hair like their mother, and their sibling has brown hair like their father; this is due to genetics.
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Where should you place the weight in the boat?
Making ensuring the weight is positioned above the boat's center of mass is important while loading them onto the boat.
The center of mass is a location within or outside of someone where we believe the entirety of the body's mass to be concentrated. We are aware that a boat will suffer an upward force equivalent to the mass of the fluid it is dislodging while it is hovering over it.
The likelihood of the boat being unbalanced is significantly decreased when the passengers or weight are positioned close to the center of mass of the boat.
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What is the power rating of an engine capable of lifting a 100 kg object 5 m vertically in 4 seconds? do not include units in your answer.
The power rating of an engine who can lift a 100kg object 5m vertically in 4 seconds is 125watt.
In electrical engineering and mechanical engineering, the power rating of equipment is the highest power input allowed to flow through particular equipment. According to the particular discipline, the term power may refer to electrical or mechanical power.
From the question given :
Force (f) = 100
Time (t) = 4 seconds
Distance (d) = 5m
Work done = f * d
= 100 * 5
= 500
So, The power will be
= Work / time
= 500 / 4
= 125watt
Therefore, the power rating of the engine is 125watt.
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When you are playing pool and a moving ball hits a stationary ball and the moving ball stops what happens to the momentum of the moving ball?
When a moving pool ball hits a stationary ball, some kinetic energy from the moving pool ball is transferred to the stationary ball and it attains momentum.
Both in the case of elastic and inelastic collisions, momentum is preserved. That means the total momentum will always be the same.
Momentum (ρ) is defined as "mass in motion". There are two factors affecting the momentum. Mass(m) and velocity(v).
ρ = m×v
So for a stationary object momentum will be 0. When the moving ball hits the stationary ball, it starts moving, because it gets kinetic energy from the moving ball. The total momentum before and after the collision will always be equal.
mₐ₁× vₐ₁ = mₐ₂×vₐ₂ + m₂ v₂
mₐ₁× vₐ₁ is the momentum of ball A before the collision
mₐ₂×vₐ₂ is the momentum of ball A after collision
m₂ v₂ is the momentum of ball B after collision.
So the stationary ball begins to move after the collision due to increased kinetic energy and attains some momentum. The total momentum of the system remains the same.
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