Answer:
5m/s
Explanation:
From momentum conservation:
Momentum =mass × veloclty
Momentum before collision = momentum after collision
Given that mass of dart = 0.5kg, mass of apple = 1kg, velocity of dart = 1.5m/s, velocity of apple = 0m/s
(0.5×1.5)- (1×0) = ( 0.5+1)v
7.5-0 = 1.5v
7.5 = 1.5v
V = 7.5/1.5
V = 5m/s.
velocity of the dart and apple just after the dart is embedded is 5m/s
The problem is solved using the principle of conservation of momentum. The total momentum before the collision is equal to total momentum after, which allows us to calculate the velocity of apple and dart together after the collision as 5 m/s.
Explanation:This problem involves the concept of conservation of linear momentum. In an isolated system where no external forces are acting (like this dart and apple situation), the total linear momentum before the collision is equal to the total linear momentum after the collision.
We are given that the dart (0.5kg) was moving at 15 m/s and the apple (1kg) was at rest, the initial total momentum before the collision would be the momentum of dart (since apple was at rest) = mass of dart x velocity of dart = (0.5kg)(15m/s)=7.5kg.m/s.
After the collision, both the dart and the apple move together with a new velocity v. The final total momentum is the sum of the momentum of apple and dart = total mass x velocity = (1kg + 0.5kg) x v .
Thus, our equation based on the principle of momentum conservation would be: (mass of dart x initial velocity) = (total mass x final velocity), or 7.5kg.m/s = 1.5 kg * v. Solving for the new velocity (v), we get v = 7.5kg.m/s / 1.5kg =5 m/s.
So, the velocity of the dart and the apple just after the dart is embedded would be 5 m/s.
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Which factors affect the resistance of a material? Check all that apply.
length
currer
thickness
temperature
voltage
Answer: Length, thickness, and temperature
Explanation:
I did it
Resistance of a material is affected by its length, thickness, temperature, and type of material; voltage does not determine resistance.
Explanation:The factors that affect the resistance of a material include the length of the resistor, thickness of the resistor, the temperature of the conductor, and the type of material. Length affects resistance because the longer a conductor, the more collisions charges will make with its atoms, increasing resistance. The thickness of a resistor affects resistance inversely; a thicker conductor has a greater cross-sectional area, allowing more current to flow and decreasing resistance.
The temperature affects resistance because as a conductor gets hotter, the atoms vibrate faster, increasing kinetic energy and making it more difficult for the electric current to flow. Different materials also have different inherent resistances due to their atomic structures. Voltage does not affect resistance; rather, resistance determines how much voltage is required to drive a certain current through a conductor.
a car driver takes a total of two hours to make a journey of 75 km. She has a coffee
of half an hour and spends a quarter of an hour stationary in a traffic jam. At what
erage speed must she travel during the rest of the time if she wants to complete the
journey in the two hours?
Final answer:
The driver must maintain an average speed of 60 km/h during the driving portion of the trip to cover 75 km in the remaining 1.25 hours after a coffee break and traffic jam.
Explanation:
The average speed necessary to complete a journey given certain time constraints. To determine the needed average speed, we can subtract the time spent not driving (coffee break and traffic jam) from the total time available for the trip. This gives us the actual driving time. Using the formula speed = distance \ time, we can calculate the average speed required to cover the 75 km journey in the remaining driving time.
In this case, the driver spends half an hour on coffee (0.5 hours) and a quarter of an hour (0.25 hours) in a traffic jam, which subtracted from 2 hours gives 1.25 hours (2 - 0.5 - 0.25 = 1.25 hours) of driving time. The average speed required is then speed = 75 km \ 1.25 hours = 60 km/h.
The permanent bar magnet is moved to the left, toward a loop of wire (as shown). The north pole of the magnet is closer to the loop, as shown. What direction will the (induced) magnetic field be in the center of the loop of wire?
The direction of the induced magnetic field will be the same as the direction of the external magnetic field.
The Direction of magnetic field:As per Felhming's right-hand rule: The direction of the magnetic field is perpendicular to the wire and is in the direction of the fingers of your right hand.
The direction of induced current in the coil is clockwise. Since the magnet is being moved away, the magnetic flux linked with the coil must be decreasing. Hence the induced magnetic field must be in the same direction as the external magnetic field.
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A ray in glass arrives at the glass-water interface at an angle of 48° with the normal. The refracted ray, in water, makes a 72° angle with the normal. The index of refraction of water is 1.33. Then the ray in glass is redirected so its new angle of incidence is 37°. What is the new angle of refraction in the water? Show all work. (2 points)
An electromagnetic wave of frequency 2.30 × 10^14 Hz propagates in carbon tetrachloride with a speed of 2.05 x 10^8 m/s. What is the wavelength of the wave in carbon tetrachloride? Show all work and include units of measure. (2 points)
Based on the data in the graph provided, which value is closest to the index of refraction of quartz for extreme violet light of wavelength 400 nm? (1 point)
1.44
1.53
1.56
1.67
The index of refraction of medium 1 is 2.3 and the index of refraction for medium 2 is 1.6. What is the critical angle for light traveling within medium 1 toward medium 2? (1 point)
40°
14°
44°
70°
A ray of laser light strikes a glass surface at an angle θa = 22.5° to the normal. What is the angle θb of the refracted ray? Let the index of refraction for glass nb = 1.77. (1 point)
12.7°
12.5°
31.8°
10.1°
As explained by the theory of quantum electrodynamics, light is best described as _____. (1 point)
Both a wave and particles.
A wave, not particles.
Particles, not a wave.
Match the following types of electromagnetic waves with where they exist on the electromagnetic spectrum. (2 points)
1
2
3
4
a. Radio Waves
b. Infrared
c. Gamma Rays
d. X-Rays
Describe the difference(s) between electromagnetic waves and mechanical waves. Provide an example of each in your descriptions. (2 points)
A step-down transformer providing electricity for a residential neighborhood has exactly 2750 turns in its primary. When the potential difference across the primary is 5670 V, the potential difference at the secondary is 240 V. How many turns are in the secondary? Show all work. (2 points)
A circuit has 3 resistors, all connected in parallel. Let R1 = 4.0 Ω, R2 = 3.0 Ω, and R3 = 6.0 Ω. What is the equivalent resistance of the circuit? Show all work and include units of measure.
Answer:
hope this helps
...........
The word inverse means ____ and is an alternative word for __________ relationship.
A. same, direct
B. opposite, direct
C. opposite, indirect
D. same, indirect
Answer:
B - Opposite, and direct
The word inverse means c) opposite and is an alternative word for indirect relationship.
In mathematics, this often refers to a situation where one value increases while the other decreases, creating a contrasting effect between the two variables.
Types of Relationships: When discussing relationships between variables:
A direct relationship means that as one variable increases, the other variable also increases.
An inverse relationship, on the other hand, indicates that as one variable increases, the other decreases.
In this context, the question asks for an alternative word for inverse relationships. The correct option would be that it is an alternative word for an indirect relationship since as one variable goes up, the other goes down, highlighting the opposite effect.
Please help this determines my grade! A 25 V battery is connected into a circuit with two resistors in series. One resistor has resistance 5.0 Ω and the other has resistance 7.5 Ω. What is the voltage drop across the 7.5 Ω resistor?
15 V
25 V
10 V
0 V
The answer is V=25(7.5/(7.5+5)).
This is the voltage divider equation.
I hope this helps!
Answer:
I am so sorry
Explanation:
if your still here. Have you taken the algebra 2 B unit 8 semester B exam??
Danielle has a mass of 80 kg and is sitting in a wagon at the top of a 20-m high hill. She slides down. a) How much kinetic energy will she have at the bottom of the hill?
Answer:
E = 15680 J
Explanation:
We have,
Mass of Danielle is 80 kg
He is at the top of hill at a height of 20 m
As she slides down at the bottom of the hill, its potential energy gets converted to its kinetic energy. So, the kinetic energy at the bottom of the hill is :
[tex]E=mgh\\\\E=80\times 9.8\times 20\\\\E=15680\ J[/tex]
So, she will have 15680 J of kinetic energy at the bottom of the hill.
A submarine is carefully navigating its way to the seafloor. It sends out “pings”—a radar wave—as it descends to keep track of its location in relation to the ground. The wavelength of the radar as it leaves the ship is 3 cm. Which of the following could be the wavelength as the wave returns? show work
A. 2 cm
B. 3 cm
C. 4 cm
D. impossible to estimate
Answer:
D. impossible to estimate
Explanation:
According to the doppler effect, the frequency of the wave will increase.
let u be the speed of the submarine,
let the speed of sound in water be c,
let initial frequency of the sent out wave be f,
let frequency of received wave be f'
The distance occupied by the new wave will be (c - u), therefore, the new wavelenght will be (c - u)/f
Frequency = speed of sound ÷ wavelenght
therefore the new Freq f' will be
f' = cf/(c - u) which will be shorter than the initial wavelenght.
But we do not know the speed of the submarine, so we can't estimate.
Calculate the amount of heat needed to raise 1.0 kg of ice at -20 degrees Celsius to steam at 120 degree Celsius
Answer:
801.1 kJ
Explanation:
The ice increases in temperature from -20 °C to 0 °C and then melts at 0 °C.
The heat required to raise the ice to 0 °C is Q₁ = mc₁Δθ₁ where m = mass of ice = 1 kg, c₁ = specific heat capacity of ice = 2108 J/kg°C and Δθ₁ = temperature change. Q₁ = 1 kg × 2108 J/kg°C × (0 - (-20))°C = 2108 J/kg°C × 20 °C = 4216 J
The latent heat required to melt the ice is Q₂ = mL₁ where L₁ = specific latent heat of fusion of ice = 336000 J/kg. Q₁ = 1 kg × 336000 J/kg = 336000 J
The heat required to raise the water to 100 °C is Q₃ = mc₂Δθ₂ where m = mass of ice = 1 kg, c₂ = specific heat capacity of water = 4187 J/kg°C and Δθ₂ = temperature change. Q₃ = 1 kg × 4187 J/kg°C × (100 - 0)°C = 4187 J/kg°C × 100 °C = 418700 J
The latent heat required to convert the water to steam is Q₄ = mL₂ where L = specific latent heat of vapourisation of water = 2260 J/kg. Q₄ = 1 kg × 2260 J/kg = 2260 J
The heat required to raise the steam to 120 °C is Q₅ = mc₃Δθ₃ where m = mass of ice = 1 kg, c₃ = specific heat capacity of steam = 1996 J/kg°C and Δθ₃ = temperature change. Q₃ = 1 kg × 1996 J/kg°C × (120 - 100)°C = 1996 J/kg°C × 20 °C = 39920 J
The total amount of heat Q = Q₁ + Q₂ + Q₃ + Q₄ + Q₅ = 4216 J + 336000 J
+ 418700 J + 2260 J + 39920 J = 801096 J ≅ 801.1 kJ
A 100 Newton force applied to a machine lifts a 400 N object. What is the actual mechanical advantage of
this machine?
Answer:
m = 4
Explanation:
It is given that,
A 100 Newton force applied to a machine lifts a 400 N object.
We need to find the mechanical advantage of this machine.
The mechanical advantage of a machine is given by the ratio of output force to the input force.
Here, output force is 400 N and input force is 100 N
So, mechanical advantage becomes :
[tex]m=\dfrac{400}{100}\\\\m=4[/tex]
So, the mechanical advantage of this machine is 4.
The actual mechanical advantage of this machine will be:
"4".
ForceA force represents a pushing as well as pulling on such material or item caused by its contact with some other thing.
According to the question,
Input force = 100 N
Output force = 400 N
Now,
The mechanical advantage be:
→ m = [tex]\frac{Out. \ force}{Inp. \ force}[/tex]
By substituting the values, we get
= [tex]\frac{400}{100}[/tex]
= 4
Thus the above response is appropriate.
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how does the current in a resistor change if the voltage across the resistor is decreased by 4
According to Ohm's law, if the voltage across a resistor is decreased, the current flowing through it will decrease proportionally. This is because the current is directly proportional to the voltage while the resistance remains constant.
Explanation:The change in current flowing through a resistor, when the voltage across the resistor is decreased, can be explained using Ohm's law. According to Ohm's law, the voltage (V) across a resistor is equal to the product of the current (I) that passes through it and its resistance (R). The relationship is given by the formula V = IR.
If the voltage across the resistor is decreased, it would result in a decrease in the current through the resistor. For instance, if the voltage is decreased by 4 units, the current will drop by a factor that is equal to '4 divided by the resistance (R).' This is because current is directly proportional to voltage, maintaining a constant resistance.
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Along a horizontal line, from left, a point, a large giraffe labeled Object, a small giraffe labeled Image, a double concave lens centered on the line, another point on the line. A dotted orange line passes up and right through the first point, goes to the head of the large giraffe, turns solid, and passes through the lens to the label 2. A shorter orange line passes straight from the top of the large giraffe to the center of the lens. A Dotted green line runs straight from the left through the neck of the larger giraffe through the lens to a label 3 on the right side. A shorter green line runs from the top of the larger giraffe to the center of the top half of the lens and then as a dotted line to the second point. A solid blue line runs from the top of the large giraffe through the center of the lens to a label 1 right of and below the lens. In the diagram, the shape of the lens is and the image is .
Answer:
In the diagram, the shape of the lens is concave and the image is virtual
Explanation:
yes
Answer:
concave and virtual
Explanation:
Explanation:
The frequency of a tornado siren is 1,000 Hz. If a cyclist is moving toward the siren at 10 m/s in 15 °C air, which has a speed of sound of 340 m/s, what is the frequency that the cyclist observes?
Answer:
The frequency the cyclist observes is 1029.412 Hz
Explanation:
Here we have that the frequency is given by the relation;
[tex]f_{obs} = f_{source}\left (\frac{v \pm v_{obs}}{v \pm v_{source}} \right )[/tex]
Where:
[tex]f_{obs}[/tex] = Frequency sensed by the observer
[tex]f_{source}[/tex] = Frequency emitted by the source = 1,000 Hz
v = Velocity of sound in air
[tex]v_{obs}[/tex] = Speed of observer = + 10 m/s
[tex]v_{source}[/tex] = Speed of source = 0 m/s
Plugging in the values, we have;
[tex]f_{obs} =1000 \times \left (\frac{340 + 10}{340 + 0} \right ) = 1000 \times \left (\frac{350}{340 } \right ) = 1029.412 \ Hz[/tex]
Therefore, the frequency the cyclist observes = 1029.412 Hz.
The phenomenon described in the question is known as the Doppler Effect, used to explain why a moving observer perceives a change in frequency. Given the conditions in the problem, the cyclist would perceive the siren's frequency to be approximately 1029.4 Hz instead of 1000 Hz.
Explanation:The phenomenon described in the question relates to the Doppler Effect, which involves a change in frequency of a wave (in this case, sound) due to the relative motion between the source of the wave and the observer.
When the observer is moving towards the source of a sound, the frequency they perceive is higher than the actual frequency of the sound. This perceived frequency (f') can be calculated using the formula:
f' = f * (v + vo) / v
Where: f is the actual frequency, v is the speed of sound, and vo is the speed of the observer (cyclist).
Substituting the given values:
f' = 1000 Hz * (340 m/s + 10 m/s) / 340 m/s = 1029.4 Hz
Therefore, the cyclist will observe a frequency of approximately 1029.4 Hz.
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What is the difference between internal hardware and software?
Internal hardware is the physical parts of a computer that you see on the outside; software is the physical parts of a computer that you see on the inside.
Internal hardware is the physical parts of a computer that you see inside the computer; software is the physical parts of a computer that you see on the outside.
Internal hardware is the programs and applications that make the computer work; software is the physical parts that help the computer work.
Internal hardware is physical parts that help the computer work; software is the programs and applications that make the computer work.
Answer:
Internal hardware is physical parts that help the computer work; software is the programs and applications that make the computer work.
Explanation:
Credit to the guy above me
The difference between internal hardware and software lies in their physical nature and functions within a computer system. Internal hardware refers to the tangible components of a computer, while software consists of the programs and applications that enable the computer to perform tasks.
The difference between internal hardware and software lies in their physical nature and functions within a computer system. Internal hardware refers to the tangible components of a computer, such as the motherboard, processor, memory, and storage devices, that are housed inside the computer's casing. These components work together to enable the computer to perform tasks.
On the other hand, software refers to the intangible programs and applications that are installed on the computer and instruct the hardware on how to perform specific tasks.
For example, the operating system (e.g., Windows, macOS, Linux) is a type of software that manages and controls the computer's hardware, allowing users to interact with the computer and run other software applications.
Applications like word processors, web browsers, and media players are also examples of software that users can install and use on their computers.
In summary, internal hardware comprises the physical components of a computer, while software consists of the programs and applications that enable the computer to perform tasks.
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True or Flase The fastest moving traffic on the expressway will be traveling in the right lane
I think this answer is False because i believe the right lane is the slowest lane you could be in.
The statement that the fastest moving traffic on the expressway is in the right lane is false. Slower traffic typically occupies the right lane, while faster traffic uses the left lanes. The right lane is generally for slower vehicles or those preparing to exit.
The statement "The fastest moving traffic on the expressway will be traveling in the right lane" is False. Typically, on an expressway or freeway, the right lane is designated for slower-moving traffic or for vehicles that are about to exit. The left lane is generally used for passing and faster-moving traffic.
For example, if you are driving at 60 mph in the right lane and another car is driving at 65 mph, that car will most likely be in the left lane to pass you. Therefore, the fastest-moving traffic will be found in the left lanes rather than the right lanes.
Which phase of the moon will occur after "waning gibbous"?
A. full moon
B. last quarter
C. waning crescent
D. new moon
E. waxing crescent
F. first quarter
G. waxing gibbous
Answer: B. The last quarter. Half of the moon's surface will be visibly illuminated.
Answer:
B. Last Quarter
A wheel is used to turn a valve stem on a water valve. The wheel radius is 4 inches and the axle radius is .25 inches.
a)What is the mechanical advantage of the wheel and axle?
b)How much resistance force can be overcome when an effort of 6 lbs is applied to the wheel of the water valve in this problem?
Answer:
a) Mechanical advantage of the wheel and axle is 16b) The resistance force that can be overcomed with the effort is 96lbsExplanation:
Mechanical Advantage of a wheel and axle is defined as the ratio of the load on the axle to the effort applied on the wheel. It can also be described as the ratio of the radius of the wheel (larger radius) to the radius of the axle (smaller radius).
Mechanical advantage = Load/ Effort = R/r
Given the wheel radius as 4 inches and the axle radius as 0.25 inches.
MA = R/r = 4/0.25
MA = 16
Mechanical advantage of the wheel and axle is 16
b) Using the formula Mechanical Advantage = Load/ Effort
Given MA = 16, Effort = 16lbs, Load =?
On substitution, 16 = Load/6
Load = 16*6
Load = 96lbs
The resistance force that can be overcomed with the effort is 96lbs
What is the current understanding about light? Light behaves as________
A.neither particles nor
waves
B.particle
C.waves
D.both particles and waves
Answer:
D
Explanation:
Light travels in waves. It is also a particle. The dual nature of light as "both a particle and a wave" has been proved, its essential theory was further evolved from electromagnetics into quantum mechanics. Einstein believed light is a particle (photon) and the flow of photons is a wave.
a screen door spring has a spring constant of 188 N/m, and when stretched, exerts a 59.5 N force on the door. how far is the spring stretched?(unit=m) PLEASE HELPPPPP MEEE
Answer:0.316 m
Explanation:
The spring is stretched by 0.316 m, when force is exerted.
What is Hooke's law?If a spring is stretched from its equilibrium position, then a force with magnitude proportional to the increase in length from the equilibrium length is pulling each end.
F = kx
where k is the proportionality constant called the spring constant or force constant.
Given, a screen door spring has a spring constant of 188 N/m, and when stretched, a 59.5 N force is applied on the door.
Substitute the values, we get
59.5 = 188 x
x = 0.316 m
Thus, the spring is stretched by 0.316 m, when force is exerted.
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Given that a ball has a mass of 0.16kg calculate it's weight take gravity 10N/kg
Answer:
1.6 N
Explanation:
Weight, W = mg where m = mass = 0.16 kg and g = 10 N/kg
W = mg = 0.16 kg × 10 N/kg = 1.6 N
Which therapy is associated with light, but not sound?
A: breaking down kidney stones
B: acoustically targeting the delivery of a drug
C: cauterizing an incision or wound
D: ablating tumors
Cauterizing an incision or wound is associated with light, but not sound.
What is Cauterization?This is a medical procedure which involves burning a part of a body to remove or close off a part of it.
It is usually done with the use of hot iron, electricity etc which makes it associated with light and not sound.
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A 6,000-watt electric water heater is plugged into a 240-volt outlet and used for 0.75 hours. How much current runs through the water heater?
0.04 amps
19 amps
25 amps
33 amps
The current running through the water heater is found by dividing the power by the voltage. In this case, it works out to be 25 amps.
Explanation:To find the current, we use the formula for power in electrical circuits: Power = Voltage x Current. In this situation, the power is 6,000 watts, and the voltage is 240 volts. So to find the current, we only need to rearrange the formula to Current = Power / Voltage = 6000 / 240,
When calculating this, we find that the current is indeed 25 amperes. Therefore, when the electric water heater is used for 0.75 hours, it uses a current of 25 amps.
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What does it mean when energy is conserved? How are energy and work related? What are the two basic types of energy and how are they related?
kenetic and potential
Juanita, en medio de la cuarentena tuvo que salir de su casa por algunos artículos que necesitaba; utilizó su tapabocas y guantes, salió corriendo con velocidad de 3m/s a comprar, 3 kilogramos de arroz, dos litros de leche y 5 tapabocas. Para completar el total de las cosas, primero debe ir al supermercado que esta ubicado a 50 metros, en dirección 30 grados con respecto a la horizontal partiendo desde su casa, y de allí, salir para la droguería que se encuentra ubicada a 70 metros, dirección 150 grados desde el supermercado geográficamente con respecto a la horizontal. 1. Clasifique las cantidades escalares y las cantidades vectoriales del problema
Answer:
the scalar quantities in this exercise are: 3 kg rice, 2 liters of milk and 5 face masks, the rapides 3 m / s
the vector quantities are: the displacement to the supermarket and the drugstore
Explanation:
For this problem we are asked to find scalar quantities and vector quantities.
A scalar quantity is one that is described by a number with its units
A vector quantity is that described by a number (module), a direction and a sense, that is, they must be represented by a vector
the scalar quantities in this exercise are: 3 kg rice, 2 liters of milk and 5 face masks, the rapides 3 m / s
the vector quantities are: the displacement to the supermarket module 50 m directional 30º sense with respect to the horizontal.
The displacement to the drugstore modulo 70 m direction 150º with respect to the supermarket
Six friends are at a pizzeria. They want to order enough pizza so that each person can eat at least 2/5 . start fraction, 2, divided by, 5, end fraction of a pizza. What is the minimum number of pizzas they should order?
Friend #1 gets at least 2/5 of a pizza.
Friend #2 gets at least 2/5 .
Friend #3 gets at least 2/5 .
Friend #4 gets at least 2/5 .
Friend #5 gets at least 2/5 .
Friend #6 gets at least 2/5 .
Sum . . . . . . . . . at least 12/5 of a pizza.
Simplify . . . . . . at least 2.4 pizzas.
-- If pizzas can be bought by the half, they should order at least 2-1/2 pizzas.
-- If only whole pizzas have to be ordered, then they should order at least 3 pizzas.
Answer:
3 pizza if your in khan! :D
Explanation:
The force or push that causes electric charges to move is called
Answer:
electrostatic force
Explanation:
Electrostatic force is the force that exists between electric charges on stationary charged bodies
Can someone please help me with this pre ap physics question?
Answer:
they will be moving east and west, or perpendicular to particles of the wave.
Explanation:
Answer:
The answer is B: Perpendicular to the particles of the wave
Explanation:
Elabora una tabla, como la del ejemplo, con los resultados obtenidos en los test que desarrollaste en actividades anteriores. Luego, responde: ¿qué indican esos resultados con respecto a tu condición física y cómo se relacionan con tu salud? A partir de tus respuestas, plantéate el reto de mejorar tu condición física manteniendo o mejorando tu rutina de ejercicios o la práctica permanente de actividad física.
Explanation:
Clear rendering reads;
"Make a table, like the one in the example, with the results obtained in the tests you carried out in previous activities. Then answer: What do these results indicate regarding your physical condition and how do they relate to your health? From your answers, consider the challenge of improving your physical condition by maintaining or improving your exercise routine or permanent practice of physical activity".
So the incomplete text above it seems you've been instructed to perform an experiment and then state your result/analysis.
A student wants to determine whether an unknown solid is an ionic compound. He puts some in water and finds that it does not dissolve. He says that this proves the solid is ionic. Which best evaluates the student's reasoning?
He is incorrect, because water can dissolve ionic solids.
The test proves nothing, because water dissolves all solids.
He is correct, because polar liquids cannot dissolve ionic solids.
The test proves nothing, because it only shows that the solid is a compound.
The correct evaluation of the student's reasoning is: He is incorrect, because water can dissolve ionic solids.
To evaluate the solubility of a solid in water as a means of determining its ionic nature, one must consider the interactions between the solid and the water molecules. Water is a polar solvent, meaning it has a partial positive charge on the hydrogen atoms and a partial negative charge on the oxygen atom. This polarity allows water to solvate ions by surrounding cations with its oxygen side and anions with its hydrogen side. As a result, water can often dissolve ionic compounds by breaking the ionic bonds and stabilizing the individual ions in solution.
However, the solubility of ionic compounds in water is not solely dependent on their ionic nature. It also depends on the lattice energy of the solid and the hydration energy of the ions. Some ionic compounds have very high lattice energies, meaning the ions are held together very strongly in the solid state, which can prevent them from dissolving in water if the hydration energies are not sufficient to overcome the lattice energy.
Therefore, the student's conclusion that the solid is not ionic simply because it does not dissolve in water is incorrect. The inability of the solid to dissolve could be due to a high lattice energy rather than the absence of an ionic bond. To truly determine the nature of the solid, additional tests such as checking for conductivity when the solid is dissolved in other solvents or performing a flame test would be necessary.
The other options can be evaluated as follows:
- The test proves nothing, because water dissolves all solids: This statement is incorrect because not all solids dissolve in water. There are many examples of covalent solids that do not dissolve in water.
- He is correct, because polar liquids cannot dissolve ionic solids: This statement is incorrect because polar liquids like water can dissolve ionic solids, provided that the hydration energies are sufficient to overcome the lattice energy.
- The test proves nothing, because it only shows that the solid is a compound: This statement is partially correct in that the test alone does not prove the solid is ionic or covalent. However, it is misleading to say that the test only shows that the solid is a compound, as the test does not provide information about the compound's bonding nature.
In conclusion, the student's reasoning is flawed because the insolubility of a solid in water does not conclusively prove that the solid is not ionic. Further tests are required to determine the nature of the solid's chemical bonding.
You used the right-hand rule to determine the z component of the angular momentum, but as a check, calculate in terms of position and momentum: what is xpy? what is ypx? therefore, what is the z component of the angular momentum of the child about location a?
In the case of x py, L is in the positive z-direction.
In the case of y px L the negative z-direction.
What is Angular momentum?
When The angular amount is defined by the relation
Then L = r x p
Then the bold are vectors, where r is the position vector and p is the linear amount vector.
When The module of this vector can be concentrated by the relation
After that L = r p sin θ
Although the direction of the vector L can be found by the right-hand rule where the thumb pinpoints in the direction of the displacement vector, When the fingers extended in the direction of the moment p which is the exact direction of speed, and also the palm ends in the direction of the angular momentum L
In the case x py
the thumb is in the x-direction, Then the fingers are extended in the direction, and also the palm is in the positive z-direction
In such the case y px
Therefore, the thumb is in the y-direction, the fingers are in the x-direction, the palm is in the negative z-direction
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The z-component of angular momentum can be found using the cross product of the position and momentum vectors. The formula Lz = xpy - ypx expresses this component, where x and y are position coordinates along the x and y axes, respectively, and px and py are the momentum components along those axes.
Explanation:The angular momentum L of a particle with respect to a point can be calculated as the cross product of the particle's position vector r and its linear momentum p. If we take x to be the position along the x-axis and py to be the component of the momentum along the y-axis, then xpy would represent the contribution of these components to the angular momentum around the z-axis. Similarly, if y is the position along the y-axis and px is the component of momentum along the x-axis, then ypx is also a contribution to the angular momentum around the z-axis.
However, according to the right-hand rule for cross products, the z-component of the angular momentum calculated from these components would be Lz = xpy - ypx, since the cross product is defined as r x p = (ypx - xpy)k, where k is the unit vector in the z-direction.