The proportion of phenotype in the offspring that could be expected to be wrinkled and green is 1/8
Let us represent phenotype in an organized way for ease of understanding.
Gamete Ry ry
RY RRYy RrYy
Ry RRyy Rryy
rY rRYy rrYy
ry Rryy rryy
First, let us discuss Yellow and Round seeds. From the data above, we can conclude that the Yellow and Round seeds are phenotypes that are dominant in nature. Therefore, we express them in Heterozygous state.
Now, let us discuss Green and wrinkled seeds. Green and wrinkled seeds are expressed in recessive homozygous state which can be found only in rryy.
So, the proportion of phenotype in the offspring that could be expected to be wrinkled and green is 1/8
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if a ball rebounds 3/4 as far as it falls how far will it travel becfore coming to a rest if it is dropped 13 feet
A ball that bounces rises to a height of 3/4 its original height. The object will bounce 16 times before coming to rest.
What is velocity?The directional speed of an object in motion, as measured by a specific unit of time and observed from a specific point of reference, is what is referred to as velocity. The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate. Speed is the absence of direction; velocity is the presence of direction. Since velocity is a vector quantity, we must specify both the magnitude (the speed) and the direction of travel when expressing it.
Here,
Given:
Height=13 feet
First bounce=3/4*13=9.75 feet
Second bounce=3/4*9.75=7.3125 feet
Third bounce=3/4*7.3125=5.484 feet
Forth bounce=3/4*5.484=4.11 feet
Fifth bounce=3/4*4.11=3.084 feet
Sixth bounce=3/4*3.084=2.31 feet
Seventh bounce=3/4*2.31=1.735 feet
Eight bounce=3/4*1.735=1.301 feet
Ninth bounce=3/4*1.301=0.976 feet
Tenth bounce=3/4*0.976=0.732 feet
Eleventh bounce=3/4*0.732=0.55 feet
Twelfth bounce=3/4*0.55=0.41 feet
Thirteenth bounce =3/4*0.41=0.31 feet
Fourteenth bounce=3/4*0.31=0.24 feet
Fifteenth bounce=3/4*0.24=0.18 feet
Sixteenth bounce=3/4*0.18=0.135 feet
When a ball bounces, it rises to 3/4 of the height from which it fell. It will travel 16 bounces before coming to rest.
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the p-wave shadow zone is larger than the s-wave shadow zone seismic waves follow curved paths through the interior of the earth p-waves travel more slowly in lower density materials liquids do not transmit s-waves. True or false?
All of the statements are True.
Give reasons to support your answer.The p-wave shadow zone is larger than the s-wave shadow zone because p-waves can travel through the Earth's core, while s-waves cannot. This means that the region where no p-waves are detected (the shadow zone) is larger than the region where no s-waves are detected.
Seismic waves do follow curved paths through the interior of the Earth. This is because the speed of seismic waves depends on the density and elastic properties of the material they are passing through, which vary at different depths and locations.
P-waves travel more slowly in lower density materials. This is because p-waves are compressional waves that are affected by the density of the material they are passing through. Lower density materials will have less resistance to compression, allowing the waves to travel more slowly.
Liquids do not transmit s-waves. This is because s-waves are transverse waves that require a solid medium to propagate. Liquids do not have the same level of shear strength as solids and therefore s-waves cannot pass through them.
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a privately owned yacht leaves a dock in myrtle beach, south carolina, and heads toward freeport in the bahamas at a bearing of S 1.4E . the yacht averages a speed of 20 knots over the 428-nautical-mile trip.
Leaving a pier in Myrtle Beach, South Carolina, a privately owned yacht travels with a bearing of S 1.4E toward Freeport, Bahamas. Over the 428 nautical mile journey, the boat travels at an average speed of 20 knots.
d=r×t
428=20×t
t=21.4 hours it take the yacht to make the trip.
20×12=240Nm
sin14°=ε/240
ε=5.9Nm
cos14°=S/240
S=239.9Nm is the yacht after 12 hours.
180°-14°=178.6° bearing should be taken.
Speed can be defined as the distance covered by an object in relation to the time it takes to cover that distance. In other words, it is a measurement of how fast an object moves but does not provide direction. The term "velocity" refers to the relationship between direction and speed.
The SI unit system is most commonly used to express speed units. Speed is measured in metres per second (m/s) because distance is measured in metres and time is measured in seconds. Unit Representation: The speed is denoted by "s" and is measured in metres per second (ms-1). The distance travelled is expressed in metres (m) and denoted by d. The letter "t" represents the amount of time spent.
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Let W be a subspace of Rn. Prove that W n WL = {0}. Identify the error(s) in the following proof: (Select all that apply:) wL is defined to be the set of all vectors in Rn that are orthogonal to every vector in W. Assume that W 0 WL {0}. Ifw ewn wL then w = 0. But this means that w 0. Thus 0 is only element of W n WL. We cannot assume W n WL = {0}_ WL is defined to be the set of all vectors in B" that are orthogonal to some vectors in W, not every vector. We cannot say w eWn WL U w = 0 does not imply w = 0
Since the first statement contains error, we must demonstrate that w intersect and w p equal only 0; hence, we cannot just assume that it is true.
How do you prove that a set is a subspace of RN?To prove that a set is a subspace of RN by check the closure of any arbitrary vectors x1 and xs when added to and multiplied by scalars. In other words, you simply need to determine whether a set is closed under addition and scalar multiplication to determine if it is a subspace of a vector space. Easy!.Since the first statement contains error, we must demonstrate that w intersect and w p equal only 0; hence, we cannot just assume that it is true. Therefore, the first statement is close to having a mistake. That is the mistake, then.To learn more about subspace refer to:
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PLEASE HELP ASAP - MULTIPLE QUESTIONS - 100 pts!
1. A single 1,000 kg train car moving at 5.0 m/s collides with the back of two 1,000 kg train cars linked together. It latches onto the car it strikes as the two parts of the coupled cars exert forces on each other. What is the speed of the cars immediately afterward?
2. A firecracker stuck into a 150 g apple explodes and sends five apple fragments in different directions. The vector sum of momenta 1, 2, 3, and 4 is found from a video of the event to have components px = 1.20 kg m/s, py = 0.80 kg m/s (with no other component). The mass of the fifth fragment is 0.050 kg. What is its velocity right after the explosion? (Picture is provided)
3. A 1,600 kg car traveling north at 10.0 m/s crashes into a 1,400 kg car traveling east at 15 m/s at an unexpectedly icy intersection. The cars lock together as they skid on the ice. What is their speed after the crash?
Mass 1 strikes Mass 2 while moving in the positive-x direction, which is initially at rest. After the collision M2 moves off in the same direction but at a greater speed. Which of the following is true? A. mass 2 is larger B. mass 2 is same size C.mass 2 is smaller
Mass 1 strikes Mass 2 while moving in the positive-x direction, which is initially at rest. After the collision M2 moves off in the same direction but at a greater speed. According to conservation of momentum, The following is true : mass 2 is smaller
According to conservation of momentum, the product of mass and velocity is constant.
Since the velocity of the second mass is greater than that of the first mass
This is possible if the mass 2 is smaller than mass 1
M1V1i + M2V2i = M1V1f + M2V2f
M1V1i = M2V2
But V2f > V1i
So M1 > M2 to balance the equation.
The conservation of momentum principle asserts that the quantity of momentum inside a problem domain remains constant; momentum is not generated nor destroyed, but only modified by the action of forces as defined by Newton's equations of motion.
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a 60 kg man is going to use an elevator that will transport him upwards with an acceleration of 2 m/s². What is the force exerted by the floor of the elevator under the feet of that man?
The force is [tex]\bold{120 \: N}[/tex].
Step by step explanation:Newton's 2nd LawNewton's Second Law states that the resultant force acting on a body is equal to the product of the mass of this body times the acceleration it acquires.
We represent Newton's 2nd Law with the following formula:
[tex]\boxed{\bold{{F=m~ \cdot~a}}}[/tex]
Solution of the exercise:
[tex]\begin{gathered}\begin{gathered}\begin{gathered}\displaystyle\text{$\mathrm{ \bold{F}= \bold{m}~ \cdot~ \bold{a}\left\{\begin{matrix}\displaystyle\text{$ \rm{ \bold F=? \: \bold{N}}$}\\\displaystyle\text{$\rm \bold{{m=60kg}}$}\\\ \: \displaystyle\text{$\rm{ \bold{a=2 m/s^{2} }}$} \end{matrix}\right.}$}\\\\\\\\ \: \displaystyle\text{$\rm{ \bold{F=60~\cdot~2}}$}\\\\\\\\ \boxed{\displaystyle\text{$\rm{ \bold{F=120~N.} }$}}\end{gathered} \end{gathered}\end{gathered}[/tex]
∴ The force is [tex]\bold{120 \: N}[/tex].
Answer: Therefore, the force exerted by the elevator floor under that man's feet is 120 Newtons.
Explanation:
A 60 kg man is going to use an elevator that will transport him upwards with an acceleration of 2 m/s². What is the force exerted by the floor of the elevator under the feet of that man?
Data:
m = 60 kg
a = 2 m/s²
F = ?
The formula for Newton's second law is:
F = m × aWhere
F = forcem = massa = accelerationSince we must calculate the force, it is not necessary to solve the formula. We substitute data and solve, then
F = 60 kg × 2 m/s²
F = 120 Newton
Therefore, the force exerted by the elevator floor under that man's feet is 120 Newtons.
a mass is lifted from the ground to an altitude h1, requiring work w1. the work to lift an identical mass to an altitude h2 is w2. if h2 is twice h1, what is the ratio of w2 to w1? (note: assume that the force of gravity does not change between h1 and h2.)
The ratio requested is answer D.2:1 .In a gravitational field, g, the work required to raise a mass m to a height h is W = mgh.
What does the H in MGH stand for?In a gravitational field, g, the work required to raise a mass m to a height h is W = mgh.This is an illustration of how labor is defined simply as the result of multiplying a force (in this case, mg) by a distance (h in this case).If the height doubles, the amount of work required to lift the same amount of weight also doubles.Answer D is the ratio you asked.P.E. = mgh is the formula for gravitational force, where m is mass in kilograms, g is acceleration due to gravity (9.8 m/s2 at the earth's surface), and h is height in meters.To learn more about gravitational field refer
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which of the following is an example of conduction? which of the following is an example of conduction? hot air drying a wet towel heat rising from the coils of a stove heat moving from a clothes iron to a shirt solar energy warming a room
Heat moving from a clothes iron to a shirt is an example of conduction.
In this case, Option D is correct
Give a description of conduction and an illustration.
Particles vibrate as a result of molecules' rising temperatures, and this movement and vibration transfers heat capacity to molecules nearby. Heat can be conducted in a number of ways, including accidentally touching a hot object like a kettle or putting a heating pad right on your body.
What distinguishes convection from conduction?
Molecules collide with one another during conduction, exchanging kinetic energy. Convection occurs when heat levels rise, allowing cooler air to enter and be heated. Thermal radiation is produced as a result of electromagnetic radiation emitted by accelerated charged particles.
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Which of the following is an example of conduction?
A Solar energy warming a room
B Heat rising from the coils of a stove
C Hot air drying a wet towel
D Heat moving from a clothes iron to a shirt
The acceleration of a car in ft/s2 is defined by the equation ????=0.5????2+0.75a=0.5s2+0.75 s is the position of the vehicle. Determine the velocity of the car after it travels 25 feet. The initial velocity of the vehicle is 22 ft/s at the time it begins to accelerate. (75.7 ft/s)
After 2.78 s, the vehicle stops. This value can be used to calculate the distance traveled after applying the brakes by substituting it for t in the position function.
What does car acceleration mean?Acceleration is the pace at which an automobile or other moving object can increase its speed; it is sometimes expressed in terms of the amount of time needed to attain a specific speed. It just needs 5.7 seconds to accelerate to 60 mph. Alternative Words: gathering speed, opening up, accelerating up More the opposites of acceleration.
How to calculation of acceleration?simply dividing the speed change by the length of time it takes for the change to take place. There are two ways to write the unit of acceleration. meters per second or the square of the distance over time.
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A half wave antenna has the best reception when its length is half the TV signal wavelength. A UHF TV antenna is 12 inch long. Find the TV signal frequency in MHz with the best reception
When the UHF TV antenna is 12 inches long, the TV signal frequency in MHz with the best reception is 2.46*10^5 MHz.
What is frequency?The frequency of a repeating event is the number of occurrences per unit of time. It is distinct from angular frequency and is sometimes referred to as temporal frequency. The unit of frequency is hertz, which equals one event per second. In physics, frequency is the number of waves that pass through a fixed point in one unit of time; it is also the number of cycles or vibrations that a body in periodic motion undergoes in one unit of time. The number of waves that pass through a fixed point in a given amount of time is described by frequency. So, if a wave takes half a second to pass, the frequency is 2 per second. The frequency is 1/100 of an hour if it takes that long.
Here,
wavelength/4=0.3048 m
wavelength=1.2192 m
wavelength=c/frequency
frequency=c/wavelength
=3*10^8/1.2192
=2.46*10^8 Hz
=2.46*10^5 MHz
The TV signal frequency in MHz with the best reception is 2.46*10^5 MHz when UHF TV antenna is 12 inch long.
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The vector "E" is called the “electric field vector”. Ex = 3.00 N/C and Ey = 4.00 N/C. Give the value of each of these:
The magnitude of E = _____________
The value of E as a vector = _____________
(a) The magnitude of the electric field is 5 N/C.
(b) The direction of the electric field is 53.1 ⁰.
What is the magnitude of the electric field?
The magnitude of the electric field is calculated as follows;
E = √ ( Ex² + Ey² )
where;
Ex is the x component of the electric fieldEy is the y component of the electric fieldE = √ ( 3² + 4² )
E = 5 N/C
The direction of the electric field is calculated as follows;
θ = arc tan ( Ey / Ex )
θ = arc tan ( 4 / 3 )
θ = 53.1 ⁰
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At an uncontrolled intersection where you cannot see cross traffic until you are just about to enter the intersection, the speed limit is __________.A. 25 mph
B. 15 mph
C. 10 mph
The speed limit at an unregulated intersection is 15 mph, and you cannot detect cross traffic unless you are ready to approach the intersection.
What really is speed in physics, and what is its measure?Speed was defined as the speed at which a distance changes over time. It has a distance by time dimension. The basic unit pf distance with the basic time units are combined to form an SI unit of speed. The metric system uses meters per second as the unit of speed.
What is the secret to writing quickly?[Speed = Distance Time] is the general formula for calculating an object's speed. The SI speed unit is m/s.
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an elephant walks north from a watering hole for 1 mile. the elephant encounters a hill and turns east the elephant continues to walk east until it reaches a tree it stays near the tree for 1 hour before continuing on to a grassy field which is a point of reference that should be used to describe the elephant's motion
The hill should be the a point of reference that should be used to describe the elephant's motion.
What is frame of reference?A frame of reference (also known as a reference frame) is an abstract coordinate system used in physics and astronomy whose origin, orientation, and scale are determined by a collection of reference points.
These points are geometric objects whose positions are both mathematically (using numerical coordinate values) and physically (using coordinates) identified (signaled by conventional markers).
As the hill is easy to find, it should be the a point of reference that should be used to describe the elephant's motion.
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if a freshener is sprayed into a room what happens to the pressure of the gas if the temperature stays the same
If a freshener is sprayed into a room, the pressure of the gas will remain the same if the temperature remains constant.
What is tempreture?Temperature is a measure of the amount of heat energy in a physical system. It is measured in degrees Fahrenheit (°F), Celsius (°C), Kelvin (K), or Rankine (°R). Temperature is a crucial factor in determining the rate of chemical reactions, the viscosity of liquids, and the state of matter, among other things. It is also used to measure the thermal comfort of humans and animals, and is an important factor.
This is because the number of molecules of the freshener in the room will remain constant, and the total pressure of the gas in the room is a result of the number of molecules present. When the temperature remains the same, there is no change in the average kinetic energy of the molecules, so the pressure of the gas will remain unchanged.
The addition of the freshener does, however, affect the composition of the gas in the room. The freshener will add a new type of molecule to the gas, which will change its overall composition. Depending on the type of freshener, the gas may also become more or less reactive and/or flammable.
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the chart shows the visible part of the electromagnetic spectrum. which statement is true regarding this part of the spectrum?
The exact statement relating to this spectrum The most frequent color is violet.
What area of the electromagnetic spectrum is considered visible?The visible spectrum's principal hues or wavelengths are blue, green, and red. They are classified as such because no other two primary colors can be combined to make a single primary color, but any other color can be generated by mixing blue, green, and red in different ratios.
Which of the following claims regarding the electromagnetic spectrum is accurate?Mechanical waves need a medium to propagate, but electromagnetic waves need not. This indicates that electromagnetic waves are capable of passing not only through solid objects like air and rock but also through a vacuum like space.
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A 10,000-kg truck moving at 10 m/s collides with a 2000-kg car moving.at 30 m/s in the opposite direction. If they stick together after impact, how fast, and in what direction, will they be moving?
When they collide, if they keep together, how quickly and in what directions will they move? 2000-kg automobile traveling at 30 m/s collides with object moving at m/s. M₁ = 1500 grams. V₁i=15m/s.
How is momentum determined?p = m v . The equation demonstrates that motion is directly related to a direction of motion (m) and rate (v). As a result, an object's momentum increases with increasing mass or velocity. The momentum of a large, swift object is larger than that of a small, slower object.
What is a 10,000 kg's momentum?Here, mt denotes the truck's mass, and vt denotes its speed. Consequently, the truck's momentum is measured at 12 104 kg/m/s or 12 10 4 kg/m/s.. Angular momentum is a scalar quantity that represents the energy of motion in an object. Sometimes people mistake motion for force. Momentum changes as a result of forces, but forces do not change because of momentum. The greater the change in energy, the greater the force required to produce that change.
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When they collide, if they keep together, how quickly and in what directions will they move? 2000-kg automobile traveling at 30 m/s collides with object moving at m/s. M₁ = 1500 grams. V₁i=15m/s.
How is momentum determined?p = m v . The equation demonstrates that motion is directly related to a direction of motion (m) and rate (v). As a result, an object's momentum increases with increasing mass or velocity. The momentum of a large, swift object is larger than that of a small, slower object.
What is a 10,000 kg's momentum?Here, mt denotes the truck's mass, and vt denotes its speed. Consequently, the truck's momentum is measured at 12 104 kg/m/s or 12 10 4 kg/m/s.. Angular momentum is a scalar quantity that represents the energy of motion in an object. Sometimes people mistake motion for force. Momentum changes as a result of forces, but forces do not change because of momentum. The greater the change in energy, the greater the force required to produce that change.
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when using hairspray you notice that the can is getting cold. try to explain this in simple terms using the 1st law of thermodynamics.
The 1st law of thermodynamics states that energy can neither be created nor destroyed, only transferred from one form to another.
What is thermodynamics?Thermodynamics is a branch of physics that studies the relationships between heat, energy and work. It is used to explain how energy is transformed, and how energy is transferred from one system to another. Thermodynamics also explains the behavior of matter and systems in terms of energy and entropy. It helps us understand how energy is conserved and how energy is used in various processes. Thermodynamics is an important field of science that helps us understand the nature of energy, the laws of nature and the ways we can use it to our advantage.
In this case, the energy from the hairspray is being transferred from a liquid to a gas and is released as heat. As the liquid evaporates, the can gets colder due to the transfer of heat energy.
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find the minimum height h that will allow a solid cylinder of mass m and radius rcyl to loop the loop of radius rloop .
The minimum height h that will allow a solid cylinder of mass m and radius h = rloop + (m * g) / (2 * π * rcyl)
What is the acceleration due to gravity? The acceleration due to gravity is the rate at which an object accelerates when freely falling in a vacuum. This acceleration is caused by the gravitational attraction between two massive objects. It is usually denoted by the symbol ‘g’ and its magnitude is 9.8 m/s2 near the Earth’s surface.The magnitude of the acceleration due to gravity changes with the distance from the center of the Earth. The acceleration due to gravity decreases with the increase in the distance from the center of the Earth. This is because the force of gravity decreases with the increase in the distance. At the Earth’s surface, the acceleration due to gravity is usually taken as 9.8 m/s2. The acceleration due to gravity is directly proportional to the mass of the object.The acceleration due to gravity is an important factor in the calculation of the force of gravity, the weight of an object, the time taken for an object to fall, and other important parameters. It is also used in calculating the trajectory of a projectile. The acceleration due to gravity is also used to calculate the escape velocity of a rocket and the speed with which a satellite orbits the Earth.To learn more about acceleration due to gravity refer to:
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Please Help!!
Tracy brought some chocolate chips in a plastic container with her lunch. She decided to save them and eat them while she waited for the bus after school. All afternoon, her lunch bag sat near the warm window in her classroom. When she finally took the container out after school, the chocolate chips had turned into a hard chunk of chocolate shaped like the bottom of the container. What happened to the chocolate chips?
They started as a solid, melted, and then became a solid again.
They changed from a solid to a gas before becoming solid once again.
They were cool solid to start, then became a warm solid before cooling again.
They went from being a hard solid to a gas, a liquid, and then to a hard solid again.
Answer:
the answer is
They started as a solid, melted , and then became a solid again.
10 J of heat are removed from a gas sample while it is being compressed by a piston that does 20 J of work. What is the change in the thermal energy of the gas? Does the temperature of the gas increase or decrease?
The amount of heat extracted from the gas sample is. The heat removal is represented by the negative sign.
The results of the work done on the gas sample are.
The gas is being worked on. As a result, it will be interpreted positively.
When the gas is heated, what happens to the piston?When the gas is heated, it expands and pushes the piston up, exerting work on the piston. When the piston is pulled down, the piston does work on the gas while the gas does negative work on the piston.
This is an illustration of how a thermodynamic system performs work.
When heat is removed from a substance, it turns from a gas to a liquid or from a liquid to a solid.
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Estimate the moment of inertia of a bicycle wheel 68 cm in diameter. The rim and tire have a combined mass of 1.2kg . The mass of the hub can be ignored.
The moment of inertia of a 68 cm diameter bicycle wheel is 1387.2 kg.m². The rim and tire weigh 1.2kg together. The hub's mass is unimportant.
The moment of inertia of a hoop about an axis passing through its center is, I=mR²
I=mR²
I=m(D/2)²
I=mD²/4
I=(1.2kg)(68 cm(10⁻² m/1cm))²/4
I=1387.2 kg.m²
A body's resistance to having the speed of its rotation along an axis changed by the application of torque is quantified by the term "moment of inertia" in physics (turning force). The axis could be fixed or not fixed, internal or exterior. Nevertheless, the moment of inertia (I), which is always described in relation to that axis, is calculated as the total of the products produced by multiplying the mass of each particle of matter in a particular body by the square of that particle's distance from the axis. The moment of inertia can be compared to mass in linear motion when calculating the angular momentum of a rigid body.
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what is the maximum blood volume that can be safely drawn at one time from a 0.77lb guinea pig? show your work and round answers to the nearest 10ths place. assume the blood volume is 70 ml/kg.
The maximum blood volume that can be safely drawn at one time from a 0.77lb guinea pig is 24.5 ml, rounded to 24.5 ml. This calculation was derived by multiplying the average blood volume of 70 ml/kg by the guinea pig's weight of 0.35 kg.
When drawing blood from a guinea pig, it is important to keep their safety in mind. The volume of blood that should be removed should be no more than 10-15% of the total body weight. This helps to minimize the risk of shock or other complications. Additionally, the guinea pig should be monitored closely during and after the procedure to ensure their safety and comfort level.
Finally, any blood that is drawn should be disposed of properly, as it could contain bacteria or other pathogens. In conclusion, it is important to be aware of the maximum blood volume that can be safely drawn from a guinea pig. For a 0.77lb guinea pig, this maximum amount is 24.5 ml. Following these guidelines can help to ensure the health and safety of the animal.
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in designing subway trains and stations, engineers want to optimize the time and energy use between stations. a train can comfortably accelerate at 5 ft/s2 without causing its passengers to fall over. when coasting, the train will slow down at an acceleration of -2 ft/s2. the train begins at rest and must come to a complete stop at the destination. if two train stations are 2 miles apart, determine the fastest time that the train can arrive at the second station given the provided accelerations. also, determine the maximum velocity obtained. draw the a-t, v-t, and s-t graphs for the train. (122 s, 174 ft/s)
The fastest time that the train can arrive at the second station given the provided accelerations , the maximum velocity obtained 174 m/s
What is the maximum velocity obtained?Let t1 and t2 represent the time needed for acceleration a1 and deceleration a2.
the same since the ultimate velocity during acceleration and the beginning velocity during deceleration
a₁ t₁ = a₂ t₂
5t₁ = 2 t₂ ————————————————————— ( 1 ) ( 1 )
Acceleration distance equals half of a1t12.
= 1/2 x 5 x t₁² = 2.5 t₁²
Deceleration distance equals half of a2t22.
= 1/2 x 2 x t₂² = t₂²
Total distance travelled: 10560 feet, or 2 miles, or 2 x 1760 feet.
2.5 t₁² + t₂² = 10560
2.5 ( 2t₂ / 5 )² + t₂² = 10560
.4 t₂² + t₂² = 10560
1.4 t₂² = 10560
t₂ = 86.85 s
t₁ = 2t₂ / 5 = 34.75 s
t₁ + t₂ = 121.6 = 122 s
Time spent: 122 seconds.
maximum speed = a1t1
= 5 x 34.75 = 173.75 = 174 m/s
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in a period of 1.0 s, 5.0 x 1023 nitrogen molecules strike a wall of area 8.0 cm2. if the molecules move at 300 m/s and strike the wall head on in a perfectly elastic collision, find the pressure exerted on the wall. (the mass of one n2 molecule is 4.68 x 10-26 kg.)
P 17.4k a: Pressure applied to the wall. The quantity of force applied to a certain region is referred to as pressure.
What is pressure, and what is its SI unit?
The thrust (orthogonal force on a substrate) occurring per unit volume of a body is referred to as pressure. It can be stated mathematically as follows: Pascal is the SI systolic pressure (Pa). One Pascal is the amount of pressure one Newton of force applies to a square inch of space. Furthermore, 1 P an Equals 1 N / m 2.
What does pressure have a name in the SI?
pascal (Pa) (Pa),In the European System of Units, pressure or stress is measured in pascals (Pa) (SI). It bears Blaise Pascal's name, a mathematician and physicist. Applied force of one newton (N) per square metre is equal to one pascal (P) (m2).
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e potential energy associated with the force between two neutral atoms in a molecule can be modeled by the Lennard-Jones potential energy function:U(x) = 4ε[(σx)^(12)−(σx)^6] where x is the separation of the atoms. The function U(x) contains two parameters σ and ε that are determined from experiments. Sample values for the interaction between two atoms in a molecule areσ= 0.263 nm and ε= 1.51×10^(−22)J. (a) Make a plot of this function with x in units of 10^(−10)m and U(x) in units of 10^(−23)J.(b) Find the most likely distance between the two atoms.(c) Is this equilibrium point stable, unstable, or neutral?
a) To make a plot of the Lennard-Jones potential energy function, U(x) = 4ε[(σx)^(12)−(σx)^6], with x in units of 10^(-10)m and U(x) in units of 10^(-23)J, one can use the given values of σ and ε to plug into the equation and then plot the resulting values of U(x) against x.
What is e potential energy?To find the most likely distance between the two atoms, one can take the derivative of the potential energy function with respect to x, and set it equal to zero. This will give the position of minimum potential energy, or the equilibrium point, which corresponds to the most likely distance between the atoms.The nature of equilibrium point can be determined by looking at the second derivative of the potential energy function at that point. If the second derivative is positive, the equilibrium point is a stable one, if it is negative, it is an unstable one and if it is zero it is a neutral one.To learn more about e potential refer:
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The moon appears to rise in the _______ and set in the ______ each day because the Earth rotates _____________.
Because the Earth revolves counterclockwise, the moon seems to rise as in east & set in west every day.
Why rise in the eastern and sets in the western do the stars?The rotation of the Earth is what causes this motion. Stars can be seen rising in the east, flying near, and sinking in the west as the Earth spins us eastward at a speed of about a thousand miles per hour. The Sun, Luna, and jupiter all seem to travel through the sky in a manner similar to how the stars do.
What does it mean when the stars rise and set?image outcome
The day on which the star arises in the am at the same moment as the Sun is known as the cosmos rising or genuine morning rising.
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given: the battleship and enemy ships a and b lie along a straight line. neglect air friction. a battleship simultaneously fires two shells with the same initial velocity at these two enemy ships.
BattleShip A will hit the target first because of its larger projection angle. when enemy ships a and b and the battleship are in a straight line. Forget about air friction.
When does the flight leave?
The amount of time it takes a projectile to travel from its projected plane to its highest point and back is known as its flight time. Just twice as long as the maximum height is the flight time.
The formula for the time of flight is T = (2usin)/g, where u is the projection's initial speed.
is the projection angle.
The object's starting velocity and projection angle affect the flight time.
The difference in the period of flight depends significantly on the angle of projection when the beginning velocities of both ships are the same and it is projected at a different angle.
BattleShip A will thus strike the target first because of its larger projection angle.
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A car travels up a hill at a constant speed of 31 km/h and returns down the hill at a constant speed of 79 km/h. Calculate the average speed for the round trip.
The average car speed for one round trip on the hill is 45.54 km/hr
The car travels up a hill at the speed of 31 km/h
The car travels down the hill at the speed of 79 km/h
The average speed by the car can be found using the formula,
S = d/t
where s is the average speed
d is the total distance covered
t is the total time taken
The time taken by the car to up a hill is
t₁ = d /s₁
Let us substitute the known values,
t₁ = d / 32 x 2
= d / 64
The time taken by the car to reach the down of the hill is
t₂ = d/79 x 2
= d / 158
Thus, the average speed of the car is
S = d / (d/64 + d/158)
= 10112d / 222d
= 45.54 km/hr
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the function d defined above shows the depth, in feet, of the water t hours after 12 a.m. in a certain harbor. which of the following presents the method for finding the instantaneous rate of change of the depth of the water, in feet per hour, at 6 a.m. ? responses
The instantaneous rate of change is the rate change at a single instant, and it is the same as the derivative value change at a specific point.
What is the instantaneous rate of change explained?The tangent line slope is the same as the instantaneous rate of change at a particular location on a graph.It has a curve slope, in other words.
B. D' (6) = 0 is the formula for calculating the instantaneous rate of change of the sea depth at 6 AM in feet per hour.
D (t) = 10 + 4.9 cos (pi/6 * t) is a function.
After 12 am, D is described above as the water's depth, measured in feet.
Which of the following demonstrates how to calculate the instantaneous rate of change in feet per hour for the water depth at 6 am?
Differentiate:
D'(t) is equal to -4.9 sin (t / 6) ( / 6
D'( 6 ) = -4.9 sin ( π ) ( π / 6 )
The fact that
sin ( π ) = 0
so D'( 6 ) = 0
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