The acceleration of the dragster is 8.89 m/s².
To find the acceleration, the given values are,
V₀ = 85 m/s
V = 45 m/s
What is acceleration?Acceleration is a rate of change of velocity with respect to time with respect to direction and speed.Acceleration formula can be written as,\(\overline{a} = \frac{v - v_0}{t} = \frac{\Delta v}{\Delta t}\)`
a = acceleration
v = final velocity
v₀= starting velocity
t = time
Acceleration is a vector quantity.The unit of acceleration is m/s².Substituting the given values in the formula,
a = (V-Vo)/time
= (45-85m/s)/4.5 s.
a = 8.89m/s².
Thus, the acceleration a of the dragster is 8.89 m/s².
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a boy stands in a large bucket used to lift humans to higher elevations. the combined weight of the boy and bucket is w. the bucket has a lightweight rope attached to its top and extending up and over a simple pulley that is attached to the ceiling high above the boy. the rope is long enough to come back down to his hands, as shown. as the boy pulls himself upward, he applies a force f to the rope. which of the following claims indicates a correct relationship between f and wand provides appropriate reasoning?
a. F W, because as the boy exerts a force downward on the rope, the tension in the rope pulls up on the boy. Plus, the boy must overcome the friction in the pulley.
F > W because as the boy exerts a force downward on the rope, the tension in the rope pulls up on the boy. Plus, the boy must overcome the friction in the pulley.
Solution:
m₁a + T₁ = W
Since the rope is continuous T₁ = F
m₁a + F = W
F = W - m₁a
Tension is defined as the force transmitted through a rope, cord, or wire when pulled by forces acting from opposite sides. Tension is transmitted along the length of the wire, drawing energy evenly into the bodies at both ends.
Pulling force is the force exerted on the body by a rope or cord. Ropes and cords cannot push your body. You must always draw the body. The pulling force is directed towards the rope or cord, away from the body being pulled.
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assuming that the dewpoint remains constant over the course of the day, at what time is the relative humidity likely to be highest?
Given that the dewpoint or absolute humidity does not fluctuate, relative humidity will be highest in the early morning when the air temperature is lowest, and lowest in the afternoon when the air temperature is highest.
What is relative humidity, explain?The relative humidity (RH) of a water-air mixture is the quantity of water vapour present in comparison to the highest amount attainable. RH is a ratio of a specific water-air mixture's humidity ratio to the saturated humidity ratio at a given temperature (dry-bulb). It is vital to remember that the application of relative humidity is dependent on knowing both the dry-bulb temperature and the RH. The quantity of moisture in a water-air combination at 80% relative humidity at 40°C, This is why, for example, postharvest storage recommendations include both relative humidity and temperature.
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A box is lifted to a height of 6 meters in 3 seconds. If the lift required 400 watts of power, what was the weight of the box?200 N250 N300 N350 N
Given:
The height through which the box was lifted, h=6 m
The time it took to lift the box, t=3 s
The power dissipated in lifting the box, P=400 W
To find:
The weight of the box.
Explanation:
The power is described as the time rate of transfer of energy.
Thus the power is given by,
\(P=\frac{W}{t}\)Where W is the work done in lifting the box.
The work done is given by,
\(W=F\times h\)Where F is the weight of the box.
Thus the power dissipated in lifting the box is given by,
\(P=\frac{Fh}{t}\)On substituting the known values,
\(\begin{gathered} 400=\frac{F\times6}{3} \\ \Rightarrow F=\frac{400\times3}{6} \\ =200\text{ N} \end{gathered}\)Final answer:
The weight of the box is 200 N
Thus the correct answer is option A.
two wires are identical, except that one is aluminum and one is gold. the aluminum wire has a resistance of 0.16 ω. what is the resistance of the gold wire?
The resistance of the gold wire cannot be determined with the information given. The resistance of a wire depends on several factors, including its length, cross-sectional area, and resistivity.
While we know the resistance of the aluminum wire, we do not know any of these other factors for the gold wire. Additionally, the resistivity of gold is different from that of aluminum, so even if we did know all the other factors, we could not simply use the same resistance value for the gold wire.
Therefore, to determine the resistance of the gold wire, we would need more information, such as its length and cross-sectional area.
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A machine with a velocity of 25 moves a load of 100N when an effort of 200N is applied. Calculate the mechanical advantage and efficiency of the machine.
To calculate the mechanical advantage of a machine, we use the formula: Mechanical Advantage (MA) = Load (L) / Effort (E)
Given:
Load (L) = 100 N
Effort (E) = 200 N
Plugging the values into the formula:
MA = 100 N / 200 N
MA = 0.5
So, the mechanical advantage of the machine is 0.5.
To calculate the efficiency of a machine, we use the formula:
Efficiency = (Output work / Input work) * 100
Given:
Effort (E) = 200 N
Velocity (V) = 25
We know that Work (W) = Force (F) * Distance (D)
The output work can be calculated as the product of the effort and the distance traveled by the effort. The input work can be calculated as the product of the load and the distance traveled by the load.
Let's assume that the distances traveled by the effort and the load are the same.
Output work = Effort (E) * Distance
Input work = Load (L) * Distance
Since the distances are the same, we can ignore them in the efficiency calculation.
Output work = 200 N * Distance
Input work = 100 N * Distance
Efficiency = (Output work / Input work) * 100
Efficiency = ((200 N * Distance) / (100 N * Distance)) * 100
Efficiency = 200%
So, the efficiency of the machine is 200%.
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Steam is quickly compressed by a piston in a cylinder with a compression ratio of 4:1. Before compression, the temperature of the steam is 400K, and the steam is at atmospheric pressure. After compression, the temperature of the steam is 600K. What is most nearly the work per unit mass done by the piston?Is the answer: 330 kJ/kg 300 kJ/kg 325 kJ/kg 315 kJ/kg
The work per unit mass done by the piston is 300 \(\frac{kJ}{kg}\).
At state 1 for steam
\(P_{1}\)= 101. 325 kpa
\(T_{1}\)= 400K = 127 °C
Now, see from the property table
\(u_{1}\)= 2550 \(\frac{kJ}{kg}\)
Now, at State 2
\(P_{2}=101.325\times 4=405.3\)kpa
\(T_{2}\)=600K= 327 °C
Now, see from the property table
\(u_{2}\)=2850 \(\frac{kJ}{kg}\)
Now, the work done is W which is given by
The definition of work done includes both the forces applied to the body and the total displacement of the body.
A constant force F is present before to this block. The goal of this force is to move the body d meters in a straight line in the force's direction.
W=\(u_{2}-u_{1}\)
W=2850-2550
W=300 \(\frac{kJ}{kg}\)
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A certain one-dimensional conservative force is given as a function of x by the expression F = -kx^3, where F is in newtons and x is in meters. A possible potential energy function U for this force is
Answer:
Choice D
Explanation:
F(x) = -kx^3
Integrate F(x) with respect to x:
U(x) = - ∫ F(x) dx
= - ∫ (-kx^3) dx
= k/4 * x^4 + C
C is a constant of integration. Find C by specifying the potential energy at a particular value of x. To make it easy, assume that U = 0 at x = 0:
U(0) = k/4 * 0^4 + C = 0
C = 0
Therefore, the potential energy function for the given force F = -kx^3 is:
U(x) = k/4 * x^4
Choice D: U = \(\frac{1}{4}\)kx⁴
3. When water droplets are pushed through sand, gravel and carbon filters is the
water clean and ready to drink? Why or why not?
Answer:
i think yes, because the sand together with the filters catches all the impurities of the water that will pass through them. (btw sorry for my English, this is translated from my language in translator, so don't mind my English pls)
Using the diagram, what season is it in the northern hemisphere?
OWinter
OSummer
OAutumn (fall)
O Spring
Name the following ionic compounds: BeCl2
Answer:
Beryllium chloride
Explanation:
I hope this helps!
Can I get branliest?!
if a person with a mass of 70kg is standing on scale in an elevator when the cable snaps, what will the reading on the scale be during free-fall?
Answer:
The reading will be the same.
Explanation:
Mass does not depend upon anything and it remains the same anywhere. What changes is the weight of the body because it depends upon gravity and is different at different places.
Giving me the brainest will be helpful.
The reading on the scale during free-fall will be the same. reading on the scale is independent of the external environment.
What is a weighing scale?A weighing scale known as a balance is a device used to quantify weight or mass. The classic scale is made up of two plates or bowls that are suspended at equal distances from a fulcrum.
A person with a mass of 70kg is standing on a scale in an elevator suddenly the cable snaps, The reading on the scale during free-fall will be the same as the initial elevator condition.
Hence the reading on the scale during free-fall will be the same. reading on the scale is independent of the external environment.
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10). Three - fourth of the volume of a block which is floating in water extends above the surface
of the water. What is the density of the block?
Answer:
Explanation:
Fill the graduated cylinder partially with water to a level where you can submerge the object and drop the sinker weight into the water. If you don't have a graduated cylinder to fit your object, put a cylinder in a basin, fill it to the top with water and measure the overflow into the basin. Your answer will be less accurate because of the number of times the water has been moved. Note the amount of displacement in milliliters (ml) caused by the sinker and string.
Measure the mass of your object (say a cork) on a balance scale in grams (g). Be sure the object is dry when it is measured. Record its weight. Attach the sinker with the string to the object. If you use a staple or pin, be sure to include that when you measure the displacement of the sinker in step one.
A rope exerts a 35N force on an object at an angle of 12N degrees above the horizontal. What horizontal and vertical components of the force?
Answer:
The horizontal component of the force, \(F_x= 34.24 \ N\)
The vertical component of the force, \(F_y=7.28 \ N\)
Explanation:
Given;
Force on the rope, F = 35 N
angle between the rope and the horizontal = 12 °
The horizontal component of the force is given by;
\(F_x = Fcos \theta\\\\F_x = 35cos(12^0)\\\\F_x = 34.24 \ N\)
The vertical component of the force is given by;
\(F_y = Fsin\theta\\\\F_y = 35sin(12^0)\\\\F_y = 7.28 \ N\)
What is the substance through which sound travels?
Answer:
Sound waves need to travel through a medium such as solids, liquids and gases. The sound waves move through each of these mediums by vibrating the molecules in the matter. The molecules in solids are packed very tightly. Liquids are not packed as tightly.
Explanation:
Hope this helped, Have a Great Day!!
An arrow leaves a bow at 60 m/s at an angle of 30 degrees to the horizon.
60 m/s
30
Which best gives the total time of flight for the arrow before it returns to its original
height?
P.4C
Answer: 11
Explanation:
How are interference patterns made?
compared to when the cosmic microwave background was first released, the radiation of the cosmic microwave background today is _____ and has most of its photons at _____ wavelengths.
Compared to when the cosmic microwave background (CMB) was first released, the radiation of the CMB today is more redshifted and has most of its photons at longer wavelengths.
The cosmic microwave background radiation is residual radiation from the early universe, specifically from the time when the universe became transparent to light. At that time, known as recombination, photons were able to travel freely through space, and the CMB was released.
Since the time of recombination, the universe has been expanding, causing the wavelengths of the CMB photons to stretch or redshift. This redshift has shifted the radiation from its initial high-energy, short-wavelength state to a lower-energy, longer-wavelength state.
Today, the CMB is observed as microwave radiation, which has longer wavelengths compared to the original release. The majority of the photons in the CMB are now found in the microwave part of the electromagnetic spectrum, with peak wavelengths around 1 mm.
In summary, the radiation of the cosmic microwave background today is more redshifted, with most of its photons at longer wavelengths, specifically in the microwave region of the electromagnetic spectrum.
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Using the Skygazer's Almanac for 2022 at 40 degrees.
What day will Venus and Saturn be in opposite parts of the sky
this year?
According to the Skygazer's Almanac for 2022 at 40 degrees, Venus and Saturn will be in opposite parts of the sky on December 17, 2022.
The Skygazer's Almanac provides astronomical information for a specific location and year. In this case, at a latitude of 40 degrees, the almanac indicates that Venus and Saturn will be in opposite parts of the sky on December 17, 2022. This means that Venus and Saturn will appear at opposite sides of the celestial sphere as observed from Earth. However, it's important to note that the almanac's predictions are approximate and can be influenced by various factors, including atmospheric conditions and the observer's specific location. To obtain the most accurate and up-to-date information, it is recommended to consult more recent astronomical sources or use specialized software that can provide precise positions and dates for celestial events.
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Match each term with its best description.
Metamorphic
rock
Foliation
Burial
metamorphism
Parent rock
?
?
?
?
The original rock before it
metamorphoses.
Parallel alignment of platy
grains.
A rock changed by heat,
pressure, and fluids.
A process that changes
rock because of pressure
with equal intensity from
Metamorphic rock: A rock changed by heat, pressure, and fluids.
Foliation: Parallel alignment of platy grains.
Burial metamorphism: A process that changes rock because of pressure with equal intensity from all sides.
Parent rock: The original rock before it metamorphoses.
Metamorphic rock: A rock changed by heat, pressure, and fluids. The word metamorphic means change in form. Metamorphic rocks are made by rocks that have been altered in some way. This can happen through heat, pressure, and fluids. Examples of metamorphic rocks include slate, gneiss, and marble.
Foliation: Parallel alignment of platy grains. Foliation is a term used to describe the parallel alignment of platy grains in a metamorphic rock. This is caused by pressure during metamorphism. The platy grains can be minerals like mica or clay.
Burial metamorphism: A process that changes rock because of pressure with equal intensity from all sides. Burial metamorphism is a process that changes rock because of pressure with equal intensity from all sides. This can happen when rocks are buried deep within the earth's crust.
Parent rock: The original rock before it metamorphoses. The parent rock is the original rock before it metamorphoses. This rock is changed into a metamorphic rock through the process of metamorphism.
To summarize, metamorphic rock is a rock that has been changed by heat, pressure, and fluids. Foliation refers to the parallel alignment of platy grains. Burial metamorphism is a process that changes rock because of pressure with equal intensity from all sides. The parent rock is the original rock before it metamorphoses.
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Part 1: inverse square law for heat 4. Requirement: 1. Plot a log of radiometer reading against a log of distance. Then find the slope 2. Comment on your results.
The inverse square law for heat states that the intensity of heat radiation is inversely proportional to the square of the distance between the source and the point of measurement. Mathematically, this can be expressed as I = k/d^2 where I is the intensity of heat radiation, k is the proportionality constant, and d is the distance between the source and the point of measurement.
To demonstrate this law, we can perform an experiment using a radiometer. A radiometer is a device used to measure the intensity of electromagnetic radiation, including heat radiation.
To perform the experiment, we can set up a heat source, such as a light bulb, at a fixed distance from the radiometer. We can then move the radiometer away from the heat source and measure the radiometer reading at various distances.
To analyze the data, we can plot a log of radiometer reading against a log of distance. This is because the inverse square law for heat can be expressed as a power law: I = k
/d^2 = k
/(10^logd)^2 = k
/10^(2logd),
which has a linear relationship when plotted on a log-log scale.
The slope of the resulting line will give us the power law exponent, which should be close to -2 if the inverse square law for heat holds true.
Upon conducting the experiment and analyzing the data, if the slope of the resulting line is close to -2, we can conclude that the inverse square law for heat holds true. If the slope is significantly different from -2, it may indicate other factors influencing the intensity of heat radiation, such as the size or shape of the heat source.
In conclusion, the inverse square law for heat can be demonstrated using a radiometer and a simple experiment. By plotting a log of radiometer reading against a log of distance and finding the slope, we can confirm whether or not the inverse square law for heat holds true.
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While playing hockey, player 1 is speeding down the rink, and doesn't see player 2 standing still on the ice. Player 1
collides with player 2. Explain what happens to the kinetic energy and motion of each player during the collisiort.
Answer:
There are two answers:
When player 1 collided with player 2, player 1's kinetic energy transferred to player 2.
Player 1 could slow down, stop , change direction, or fall, while player 2 would begin moving away from the collision point and possibly fall.
Explanation:
Calculate the volume of 500 kilograms
to 2 decimal places
flead if the density of lead is 11400 kg/m². Give your answer
Enter your answer to 2 decimal places
Answer:
d (density) = M / V
V = M / d = 500 kg / (11400 kg / m^2 = .044 m^3
Hi, Can anyone help me? I don't understand.
A car horn has a frequency of 448 Hz when the car is stationary. If the car approaches a stationary recorder at a speed of 19.0 m/s, what frequency does the device record if the temperature is 20°C? What frequency does the device record after the car passes by?
**SHOW CALCULATIONS, PLEASE!
The frequency recorded by the device after the car passes by at the given speed is 474.27 Hz.
Observed frequency recorded by the deviceThe frequency recorded by the device is determined by using the following formula for doppler effect.
\(f_o = f_s(\frac{v + v_0}{v- v_s} )\)
where;
v is speed of sound at 20°C = 343 m/s\(f_o = 448(\frac{343 + 0}{343-19} )\\\\f_0 = 474.27 \ Hz\)
Thus, the frequency recorded by the device after the car passes by at the given speed is 474.27 Hz.
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Compare diffusion of chlorine gas into air and into vaccuum. Explain your answer
Answer:
Diffusion depends among many other things also upon the concentration gradient of the diffusing substance.For example if there are two boxes with given particles first isolated from each other and if they are bought in contact, then there is a net diffusion of particles from a box with higher concentration of particles to box with lower concentration. And also diffusion rate depends at any instant directly on the concentration difference between them at that instant.Now the vaccum is equivalent to an empty box which means with this one leads to a maximum diffusion rate when bought in contact with a box with particles because there is maximum concentration difference.That is vaccum is empty ( except for energy perturbations and a small concentration of particles which will be zero for our purpose) and any bunch of particles will find least resistance to diffuse as just outside this bunch there is ‘0' concentration of the particles.
Which principle states that a change in pressure at any point in a fluid in a closed container is transmitted equally and unchanged in all directions throughout the fluid?
Answer:The principle that states that a change in pressure at any point in a fluid in a closed container is transmitted equally and unchanged in all directions throughout the fluid is known as Pascal's principle.
Explanation:.
Please Help! 25 BRAIN POINTS
Romeo (m = 60 kg)runs North towards Juliet (m = 45 kg) at a speed of 1.5 m/s. Juliet runs South towards Romeo at a speed of 2.2 m/s. The 2 collide (epic hug) in a head-on perfectly elastic collision. Find the velocity of the star-crossed lovers immediately after the collision.
Answer: V' = 1.514m/s
Explanation: Given the Impulse-Momentum Theorum, this is a description of an INELASTIC Collision. When you hug, you stick, making it inelastic.
Formula: m1xV1+m2xV2= pTotal, or total momentum
m1=60kg
V1=1.5m/s
m2=45kg
V2=2.2m/s
so (60)(1.5)+(45)(2.2)=159 kgm/s
To find the Resultant velocity of the lover(s) - plural (signalling inelastic)
you would take the sum of the m1+m2, which is 105kg-> then create the equation 159/105, which is the total momentum divided by the total mass, which would equate to the resultant velocity of an inelastic collision.
Hope this helped.
Use the electron arrangement interactive to complete the table
The number of electrons that is needed to fill the following sublevels are:
1s = 2 electrons. 2s = 2 electrons. 2p = 6 electrons. 3s = 2 electrons. What is the number of electrons needed to complete the table?The formula to find this out is:
= 2 x (2 x Level +1)
1s = 0 levels
Number of electrons:
= 2 x (2 x 0 + 1)
= 2 electrons
2s = 0 levels
= 2 x (2 x 0 + 1)
= 2 electrons
2p = 1 level
= 2 x (2 x 1 + 1)
= 6 electrons
3s = 0 levels
= 2 x (2 x 0 + 1)
= 2 electrons
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The completed table using the electron arrangement interactive is attached below. In this table for sublevel 1s, 2s, 2p and 3s electron needed is 2,2,6 and 2 respectively.
What is electron arrangement?The electron arrangement is the way or process to arrange the electrons in an atom. The number of electron needed per sublevel are expressed in following points.
The number of electron need to feel sublevel 1s is 2.The number of electron need to feel sublevel 2s is 2.The number of electron need to feel sublevel 2p is 6.The number of electron need to feel sublevel 3s is 2.The image of the table which fill the sublevel is attached below. In this table all the electron is fulfilled with needed electrons.
Thus, the completed table using the electron arrangement interactive is attached below. In this table for sublevel 1s, 2s, 2p and 3s electron needed is 2,2,6 and 2 respectively.
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According to a scientific realist, scientific terms for unobservable phenomena like "atom" and "black hole" to entities that really exist. However, the scientific antirealist claims that scientific terms that refer to unobservable phenomena to something in reality.
It is important to note that the debate between scientific realism and antirealism is ongoing and complex, with various nuances and perspectives within each position. Different philosophers of science and scientists may hold different views on the nature of scientific terms and their relationship to reality.
According to a scientific realist perspective, scientific terms for unobservable phenomena such as "atom" and "black hole" are seen as referring to entities that truly exist in reality. Scientific realists believe that scientific theories and concepts accurately capture aspects of the world, including unobservable entities and phenomena. They argue that scientific theories provide the best explanation of the natural world and aim to describe the underlying structure and mechanisms of reality.
On the other hand, scientific antirealists hold a different view. They argue that scientific terms that refer to unobservable phenomena do not necessarily correspond to something that exists independently in reality. Antirealists often emphasize the instrumentalist view of science, which suggests that scientific theories are simply tools or frameworks that help us organize and predict observable phenomena, without making claims about the ultimate nature of reality.
Antirealists may argue that scientific theories are subject to revision and change over time as new evidence emerges, suggesting that the terms used to describe unobservable phenomena are not fixed and may not have a one-to-one correspondence with actual entities in reality. They may also highlight the role of social and cultural factors in shaping scientific knowledge, suggesting that scientific terms are influenced by human conventions and interpretations.
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A red 120 kg bumper car moving at 4 m/s collides with a green 100 kg bumper car moving at 3 m/s. The red bumper car bounces off at 2 m/s. What is the green car's final velocity?
what is the molar solubility of la(io3)3 in pure water? ksp = 1.0 × 10−11 for la(io3)3.
The molar solubility of La(IO₃)₃ in pure water is approximately 1.0 × 10⁻⁴ mol/L.
The molar solubility of a compound refers to the maximum amount of the compound that can dissolve in a given solvent at a specific temperature, typically expressed in moles per liter (mol/L). To determine the molar solubility of La(IO₃)₃ in pure water, we can use the given value of the solubility product constant (Ksp) for La(IO₃)₃, which is 1.0 × 10⁻¹¹.
La(IO₃)₃ dissociates into La³⁺ and IO₃⁻ ions in water. Let's assume x mol/L represents the molar solubility of La(IO₃)₃. According to the balanced chemical equation, one mole of La(IO₃)₃ produces one mole of La³⁺ ions and three moles of IO₃⁻ ions.
Therefore, the solubility product expression for La(IO₃)₃ is:
Ksp = [La³⁺][IO₃⁻]³
Since the concentration of La³⁺ ions is equal to the molar solubility (x) and the concentration of IO₃⁻ ions is three times the molar solubility (3x), we can substitute these values into the Ksp expression:
Ksp = (x)(3x)³
1.0 × 10⁻¹¹ = 27x⁴
Solving for x, we find:
x ≈ 1.0 × 10⁻⁴ mol/L
Therefore, the molar solubility of La(IO₃)₃ in pure water is approximately 1.0 × 10⁻⁴ mol/L.
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