c. Elastic energy is not a form of kinetic energy.
What is kinetic energy?
Kinetic energy is the energy generated by an object's movement or motion. It's the energy stored in moving objects, and it's dependent on the object's mass and speed. As the object's mass and velocity rise, so does the amount of kinetic energy it possesses.
Types of kinetic energy include:
Mechanical energy: The total energy stored in a moving object's position and motion is known as mechanical energy.
Thermal energy: Thermal energy is the energy that results from the motion of particles in a substance. The greater the speed of the particles, the greater the thermal energy.
Sound energy: The energy created by the vibration of an object is known as sound energy. It travels in the form of waves through the air.
Elastic energy: Elastic energy is the energy kept in an object when it is compressed or extended. For instance, when you extend a rubber band or compress a spring, the energy stored in them is elastic energy.
Therefore, from the given options, elastic energy is not a type of kinetic energy.
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the diameters of the main rotor and tail rotor of a single-engine helicopter are 7.70 m and 1.01 m, respectively. the respective rotational speeds are 449 rev/min and 4,120 rev/min. calculate the speeds of the tips of both rotors.
The speed of the tips of the main rotor and tail rotor can be calculated by multiplying the rotational speed by the circumference of the rotor.
The circumference of a circle is equal to the diameter multiplied by pi (π). The speed of the main rotor tip is equal to 7.70 m x 449 rev/min x π = 2410.73 m/min. The speed of the tail rotor tip is equal to 1.01 m x 4,120 rev/min x π = 12,831.55 m/min.
The main rotor and tail rotor of a helicopter are responsible for providing lift and stability. The main rotor provides lift by creating a pressure differential between its upper and lower surfaces. The tail rotor counters the torque generated by the main rotor by providing thrust in the opposite direction.
The speed of the rotor tips directly affects the performance of the helicopter and has a significant impact on the aircraft’s safety. As such, it is important to ensure that the rotor tips are spinning at the correct speeds.
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Sample Response: The work-energy theorem describes work as the change in energy brought about by the change in velocity. When the velocity of an object increases, the environment has done work on the object and the energy of that object is increased. When the velocity of an object decreases, the object has done work on the environment and the energy of the object is decreased. What did you include in your response? Check all that apply. Work is the change in energy brought about by a change in velocity. When the velocity of an object increases, the environment has done work on the object and the energy of that object is increased. When the velocity of an object decreases, the object has done work on the environment and the energy of the object is decreased.
The correct responses are:
1. Work is the change in energy brought about by a change in velocity.
2. When the velocity of an object increases, the environment has done work on the object and the energy of that object is increased.
3. When the velocity of an object decreases, the object has done work on the environment and the energy of the object is decreased.
The work-energy theorem is a fundamental principle in physics that relates the work done on an object to the change in its kinetic energy. It says that an object's net work is equivalent to the change in its kinetic energy. In other words, work is a measure of how much energy is transferred to or from an object.
When an object's velocity increases, it means that it has gained kinetic energy. According to the work-energy theorem, this increase in kinetic energy is equal to the work done on the object by the environment. For example, if you push a ball on the ground, the force you exert on the ball does work on it, increasing its kinetic energy and causing its velocity to increase.
On the other hand, when an object's velocity decreases, it means that it has lost kinetic energy. In this case, the object has done work on the environment.
For example, if you throw a ball upwards, the ball will eventually stop moving and fall back down. As it rises, its velocity decreases and it loses kinetic energy. This loss of kinetic energy is equal to the work done by the force of gravity on the ball.
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if the fuel pellets in spent fuel rods do not have the plutonium removed, how long must that high-level radioactive waste be stored before it is considered safe
If the fuel pellets in spent fuel rods do not have the plutonium removed, the high-level radioactive waste must be stored for approximately 10,000 years before it is considered safe.
What is radioactive? Radioactive means that the nucleus of an atom is unstable and is continuously decaying to form a different nucleus, emitting radiation in the process. This radiation can be in the form of alpha particles, beta particles, or gamma rays.What are fuel pellets?Fuel pellets are a type of fuel that is made of small cylinders or pellets that have been compressed from natural uranium, mixed oxide, or plutonium dioxide powder. These pellets are then loaded into fuel rods to produce energy in nuclear reactors.What is plutonium?Plutonium is a radioactive, silvery-grey metallic element that is a by-product of nuclear fission reactions. It is a highly toxic substance and is considered one of the most dangerous materials on Earth because it can cause cancer and other diseases if ingested or inhaled.How long must the high-level radioactive waste be stored before it is considered safe?High-level radioactive waste from nuclear reactors must be stored for thousands of years before it is considered safe. This is because the waste is highly radioactive and can remain dangerous for a very long time. If the fuel pellets in spent fuel rods do not have the plutonium removed, the high-level radioactive waste must be stored for approximately 10,000 years before it is considered safe.
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unit 3 progress check frq ap phyics
bro there's no question
select each of the true statements below think about initial/final states! what's a conservative force? a. the kinetic energy can never be negative. b. spring a is stiffer than b ( ). a person must do less work on the block connected to spring a if both springs are ideal and the blocks are pulled by the same amount. c. the work a person must do to raise a box onto a platform does not depend on how fast it is raised. d. the kinetic energy of an object depends on the reference frame of the observer. e. if the moon revolves around earth in a perfectly circular orbit, then earth does do work on the moon. f. the friction force is a non-conservative force. g. work can be done in the absence of motion. h. the kinetic energy of an object does not depend on the direction of the motion involved. i. none of the above.
The true statements according to initial/final states are : the kinetic energy can never be negative, the work a person must do to raise a box onto a platform does not depend on how fast it is raised. the kinetic energy of an object depends on the reference frame of the observer. the kinetic energy of an object does not depend on the direction of the motion involved. The correct options are a,c, d, h
The kinetic energy can never be negative: The kinetic energy of an object is defined as the energy it possesses due to its motion. The kinetic energy is always positive or zero because it is proportional to the square of the speed, and the speed cannot be negative.
The work a person must do to raise a box onto a platform does not depend on how fast it is raised: When a person raises a box onto a platform, the work done depends only on the initial and final states of the box-platform system, which are determined by the gravitational potential energy difference. The speed at which the box is raised does not affect the work done.
The kinetic energy of an object depends on the reference frame of the observer: The kinetic energy of an object is defined as the energy it possesses due to its motion. The kinetic energy depends on the speed of the object, which is relative to the observer's reference frame.
The kinetic energy of an object does not depend on the direction of the motion involved: The kinetic energy of an object is defined as the energy it possesses due to its motion. The kinetic energy depends only on the speed of the object and not on the direction of motion.
Therefore, options a,c,d and h are true.
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A camper walked from point A to point B taking the path shown by the dotted line. What is the approximate distance the camper walked? a. 2.0 miles downhill b. 30 miles downhill c. 2.0 miles uphill d. 30 miles uphill
Therefore, the most reasonable answer is (b) 30 miles downhill distance.
What does the calculation for distance mean?The space between two parallel lines is also known as their perpendicular distance. Consider the two parallel lines y = mx + c1 and y = mx + c2 to be one line. Let d represent the separation between the two lines. The following formula can be used to determine the minimum distance between two non-intersecting lines: d = | C 1 − C 2 | A 2 + B 2.
What are distance, its SI measurement, and its definition?The metre is the metric measure of length. Long distances can be counted in kilometers, while short distances can be gauged in centimetres (cm). (km). For instance, you might estimate the distance in centimetres between the bottom and top of a piece of paper and the kilometres between your home and school.
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Please help me explain how the visible spectrum is formed as
a rainbow appears after it rains. In your answer,
explain what white light is composed of?
Answer:
"When sunlight hits a rain droplet, some of the light is reflected. The electromagnetic spectrum is made of light with many different wavelengths, and each is reflected at a different angle. Thus, spectrum is separated, producing a rainbow."
"White light is a combination of all colors in the color spectrum."
Explanation:
determine the total force and the absolute pressure on the bottom of a swimming pool 24.0 m by 8.5 m whose uniform depth is 1.8 m. (b) what will be the absolute pressure against the side of the pool near the bottom?
The absolute pressure against the side of the pool near the bottom is 19,620 Pa.
(a) To determine the total force and the absolute pressure on the bottom of the swimming pool, we need to use the formula for pressure at a depth in a fluid:
P = ρgh
where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth of the fluid.
Assuming that the swimming pool is filled with water, we can use the density of water at room temperature, which is approximately 1000 kg/m^3. We can also use the acceleration due to gravity, which is approximately 9.81 m/s^2.
The depth of the water in the swimming pool is 1.8 m. Therefore, the pressure at the bottom of the swimming pool is:
P = ρgh = (1000 kg/m^3)(9.81 m/s^2)(1.8 m) = 17,676 Pa
To determine the total force on the bottom of the swimming pool, we need to multiply the pressure by the area of the bottom of the pool.
F = PA = (17,676 Pa)(24.0 m)(8.5 m) = 4,053,936 N
Therefore, the total force on the bottom of the swimming pool is 4,053,936 N, and the absolute pressure is 17,676 Pa.
(b) To determine the absolute pressure against the side of the pool near the bottom, we can use the same formula as before, but this time we need to use the depth from the surface of the water to the side of the pool:
P = ρgh = (1000 kg/m^3)(9.81 m/s^2)(1.8 m + 0.5 m) = 19,620 Pa
where we added 0.5 m to account for the height of the side of the pool above the water surface.
Therefore, the absolute pressure against the side of the pool near the bottom is 19,620 Pa.
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A car travels 500 km in 3.5 hrs
A) What is it’s average speed?
B) How far will it travel in 5 hr?
C) How long will it take to travel 750 km?
Answer:
A) The average speed of the car is given by the formula:
average speed = distance / time
where distance is measured in kilometers (km) and time is measured in hours (hr).
In this case, the distance is 500 km and the time is 3.5 hrs. Therefore,
average speed = 500 km / 3.5 hrs = 142.857 km/hr (rounded to three decimal places)
Therefore, the average speed of the car is 142.857 km/hr.
B) To find out how far the car will travel in 5 hours, we can use the average speed calculated above.
distance = average speed x time
where time is measured in hours (hr).
In this case, the time is 5 hrs. Therefore,
distance = 142.857 km/hr x 5 hrs = 714.285 km (rounded to three decimal places)
Therefore, the car will travel approximately 714.285 km in 5 hours.
C) To find out how long it will take to travel 750 km, we can use the average speed calculated above.
time = distance / average speed
where distance is measured in kilometers (km) and average speed is measured in kilometers per hour (km/hr).
In this case, the distance is 750 km. Therefore,
time = 750 km / 142.857 km/hr = 5.25 hrs (rounded to two decimal places)
Therefore, it will take approximately 5.25 hours to travel 750 km
which of the following explains why the stars visible in our sky just after sunset are different from those visible just before sunrise? group of answer choices stars appear to move randomly relative to our sun in the local solar neighborhood. the direction of earth's axis in space processes with a period of about 26,000 years. earth orbits the sun once each year. the universe is expanding. earth rotates once each day.
The correct answer is "Earth rotates once each day." This explains about explains why the stars visible in our sky just after sunset are different from those visible just before sunrise.
The reason why the stars visible in our sky just after sunset are different from those visible just before sunrise is that Earth rotates on its axis once every 24 hours.
As Earth rotates, different parts of the sky come into view, while others disappear below the horizon. So, as the Earth rotates, the stars visible in the sky change throughout the night.
Additionally, Earth's orbit around the Sun causes the position of the stars to shift slightly over the course of the year, but this motion is much slower than the rotation of the Earth and is not the primary reason for the difference in the stars visible before sunrise and after sunset.
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on an optical bench, a student places a small screen and a light source 54cm apart. the student then slowly moves a lens along the optical bench from the light source toward the screen. the student measures distances of 18cm and 36cm between the lens and the light source at two locations where a clear image is produced on the screen. what kind of lens did the student use, and what is the focal length of the lens?
The lens is a converging lens with a focal length of 12 cm.
The situation described in the problem is consistent with the use of a converging lens, which is also called a convex lens. When a converging lens is placed between a light source and a screen, it can form a real image of the light source on the screen.
The distance between the lens and the light source at which the image is formed depends on the focal length of the lens and the distance between the lens and the screen.
Let's call the focal length of the lens "f", the distance between the light source and the lens "d₁", and the distance between the lens and the screen "d₂". According to thin lens equation;
1/f = 1/d₁ + 1/d₂
When the lens is positioned at the first location where a clear image is produced on the screen, the distances are;
d₁ = 18 cm
d₂ = 54 - 18 = 36 cm
Plugging these values into the thin lens equation, we get;
1/f = 1/18 + 1/36
1/f = 1/12
f = 12 cm
Therefore, the focal length of the lens will be 12 cm.
When the lens is positioned at the second location where a clear image is produced on the screen, the distances are;
d₁ = 36 cm
d₂ = 54 - 36 = 18 cm
Plugging these values into the thin lens equation, we get;
1/f = 1/36 + 1/18
1/f = 3/36
1/f = 1/12
f = 12 cm
This confirms that the lens is a converging lens with a focal length of 12 cm.
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how do astronomers measure that sunspots come in north pole / south pole magnetic pairs? how do they view the sun's magnetic field?
Astronomers measure sunspots and their magnetic polarity using a technique called spectropolarimetry. This method analyzes the interaction between the sun's magnetic field and its emitted light. To view the sun's magnetic field, scientists use instruments like magnetographs, which are specialized telescopes that detect and record the sun's magnetic activity.
Sunspots are cooler, darker areas on the sun's surface that possess intense magnetic activity. The Zeeman effect, a phenomenon where the magnetic field splits the spectral lines of light, is crucial in studying the sun's magnetic field. By observing these spectral lines and their shifts, astronomers can determine the strength and direction of the magnetic field in sunspots.
Sunspots typically occur in pairs with opposite magnetic polarities, one being the north pole and the other the south pole. These pairs are aligned in an east-west direction, with the leading sunspot having a magnetic polarity opposite to that of the sun's magnetic field at that particular solar hemisphere.
In summary, astronomers use spectropolarimetry and the Zeeman effect to analyze the sun's magnetic field and identify sunspots' polarities, while magnetographs provide visual representations of the magnetic field distribution.
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the cable is moved so that it is attached to a different point on the pole. if the new vertical force exerted by the wall is 0 n, where is the cable attached?
The cable is attached to the pole at the same height as the point where it connects to the wall. This creates a completely horizontal force and results in a 0 N vertical force exerted by the wall.
To determine where the cable is attached when the new vertical force exerted by the wall is 0 N, follow these steps:
1. Understand the situation: The cable is attached to a pole and exerts a vertical force on the wall. If the vertical force becomes 0 N, it means that the force is now completely horizontal.
2. Analyze the forces: Since the vertical force is 0 N, the force exerted by the cable must be completely horizontal. This means that the cable is exerting a force parallel to the ground.
3. Determine the attachment point: To exert a completely horizontal force, the cable must be attached to the pole at the same height as the point where it connects to the wall. This ensures that the cable is parallel to the ground, and the vertical force exerted by the wall is 0 N.
In conclusion, the cable is attached to the pole at the same height as the point where it connects to the wall. This creates a completely horizontal force and results in a 0 N vertical force exerted by the wall.
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1.15 The speed of light in Crown glass is greater than its speed in
so the answer is easy it's air
what is the angular momentum of a 0.270-kg ball revolving on the end of a thin string in a circle of radius 1.35 m at an angular speed of 10.4 rad/s?
the angular momentum of a 0.270-kg ball revolving on the end of a thin string in a circle of radius 1.35 m at an angular speed of 10.4 rad/s is approximately 5.11 kg*m²/s.
The angular momentum (L) of an object can be calculated using the formula L = Iω, where I is the moment of inertia and ω is the angular speed. For a point mass (like the ball) moving in a circle, the moment of inertia (I) can be calculated using the formula I = mr², where m is the mass and r is the radius of the circle.
In this case, the mass (m) of the ball is 0.270 kg, the radius (r) of the circle is 1.35 m, and the angular speed (ω) is 10.4 rad/s.
First, calculate the moment of inertia (I):
I = mr² = (0.270 kg) * (1.35 m)² = 0.270 kg * 1.8225 m² = 0.491475 kg*m²
Next, calculate the angular momentum (L):
L = Iω = (0.491475 kg*m²) * (10.4 rad/s) = 5.11054 kg*m²/s
Therefore, the angular momentum of the 0.270-kg ball revolving on the end of a thin string in a circle of radius 1.35 m at an angular speed of 10.4 rad/s is approximately 5.11 kg*m²/s.
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Describe a type of force actung at a distance where the force is not gravitational
Answer:
Explanation:
One example of a force acting at a distance that is not gravitational is the electromagnetic force. The electromagnetic force is responsible for the interaction between electrically charged particles, such as protons and electrons. This force can attract or repel particles depending on their charges, and it can act over long distances. For example, the electromagnetic force is responsible for the attraction between the positively charged nucleus and negatively charged electrons in an atom, as well as the interaction between magnets.
I have a room that is sealed air tight that is sitting at 90 degrees and another room, also sealed air tight, that is sitting at 40 degrees. What happens when I open the door between the rooms? How does the air flow? What does the temperature become when the rooms reach equilibrium?
Answer: When you open the door between the two rooms, the air will flow from the warmer room to the cooler room until the temperatures in both rooms reach equilibrium. This process is called heat transfer. The final temperature will depend on the size and insulation of the rooms, as well as other factors such as humidity and air pressure.
filters allow light to pass through. polaroid filters are very selective about the orientation of the light vibrations that are allowed through. the light that passes through a polaroid filter is vibrating in a direction that is . a. parallel to the orientation of the molecules that make up the alignment b. parallel to the polarization axis or transmission axis of the filter c. parallel to the ceiling or the sky (if the source of light is on the ceiling or in the sky) d. always horizontal, regardless of what the light source is
The light that passes through a polaroid filter is vibrating in a direction that is parallel to the polarization axis or transmission axis of the filter. Option b is correct.
Polaroid filters are made up of long-chain molecules that are aligned in a particular direction. These molecules only allow light waves that vibrate parallel to their alignment to pass through the filter.
The orientation of the light waves that pass through the filter is perpendicular to the polarization axis or transmission axis of the filter. Therefore, the light that passes through a polaroid filter is vibrating in a direction that is parallel to the polarization axis or transmission axis of the filter. Hence option b is correct choice.
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what is the wavewhat is the wavelength (in nm) for light that has a frequency of 517 thz while traveling through a vacuum?
Explanation:
517 THz = 5.17 x 10^14 Hz
speed of light = wavelength * frequency
3 x 10^8 m/s = wavelength * 5.17 x 10^14 Hz
wavelength = 5.8 x 10 ^-7 m
= 580 x 10^-9 m = 580 nm
The wavelength of light with a frequency of 517 THz while traveling through a vacuum is 579.2 nm.
The speed of light in a vacuum is constant, which is approximately 299,792,458 meters per second. The relationship between the speed of light (c), frequency (f), and wavelength (λ) is given by the equation c = λf.
To find the wavelength, we can rearrange the equation to solve for λ: λ = c / f.
Substituting the values, we have λ = (299,792,458 m/s) / (517 x 10¹² Hz).
To convert meters (m) to nanometers (nm), we can multiply by 10⁹, so the wavelength is λ = (299,792,458 x 10⁹ nm/s) / (517 x 10¹² Hz) = 579.2 nm.
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a straight wire produces a magnetic field of 4 t at a distance of 4 cm from the wire. what is the magnetic field at a distance of 8 cm from the wire? group of answer choices 4 t
The magnetic field at a distance of 8 cm from the wire is 2 T.
The magnetic field at a distance of 8 cm from a straight wire can be determined using the formula for the magnetic field produced by a straight wire:
B = μ₀I / (2πr), where B is the magnetic field, μ₀ is the permeability of free space, I is the current in the wire, and r is the distance from the wire.
Given that the magnetic field is 4 T at a distance of 4 cm, we can first find the current in the wire:
4 T = μ₀I / (2π(0.04 m))
Now, we can use the same formula to find the magnetic field at a distance of 8 cm (0.08 m):
B = μ₀I / (2π(0.08 m))
Since the current in the wire is the same, we can notice that the only difference between the two equations is the distance (r). The relationship between the magnetic field and distance is inverse, so when the distance is doubled (from 0.04 m to 0.08 m), the magnetic field will be halved.
Therefore, the magnetic field at a distance of 8 cm from the wire is 4 T / 2 = 2 T.
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9. a 6 kw lathe can move an iron block at a constant speed by applying a force of 5.2 kn. find the speed of the block.
The speed of the iron block is approximately 1.15 m/s.
To find the speed of the iron block, we can use the formula for power, which is:
Power = Force × Speed
We are given the power (6 kW) and the force (5.2 kN), so we can solve for the speed.
Step 1: Convert the given values to the same unit.
Power: 6 kW = 6,000 W
Force: 5.2 kN = 5,200 N
Step 2: Rearrange the formula to solve for speed.
Speed = Power / Force
Step 3: Plug in the values and calculate the speed.
Speed = 6,000 W / 5,200 N = 1.1538461538461539 m/s
Therefore, the speed of the iron block is approximately 1.15 m/s.
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a system consisting of blocks, a light frictionless pulley, a frictionless incline, and very light connecting wires is shown in the gure. the 9.0-kg block accelerates downward when the system is released gently from rest. what is the tension in the wire connecting the two blocks on the incline?
The tension in the wire connecting the two blocks on the incline is approximately 10.8 N.
Since the system is released gently from rest, can assume that the acceleration of both blocks is the same and is given by:
a = (m1-m2)g / (m1+m2)
where m1 and m2 are the masses of the two blocks and g is the acceleration due to gravity.
Substituting the given values, can get:
a = (9.0 kg - 4.0 kg) * 9.81 m/s^2 / (9.0 kg + 4.0 kg) ≈ 3.08 m/s^2
Since the 4.0 kg block is on an incline, its weight can be resolved into components parallel and perpendicular to the incline. The perpendicular component is balanced by the normal force from the incline, so the net force acting on the 4.0 kg block is:
Fnet = m2g sin θ - T
where θ is the angle of the incline and T is the tension in the wire connecting the two blocks.
Using Newton's second law, can write:
Fnet = m2a
m2g sin θ - T = m2a
4.0 kg * 9.81 m/s^2 * sin 30° - T = 4.0 kg * 3.08 m/s^2
T ≈ 10.8 N
Therefore, the tension in the wire connecting the two blocks on the incline would be approximately 10.8 N.
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The apparatus shown in Figure 1 is used to measure the specific latent heat of vaporisation of water. The
balance reading decreased from 0.152 kg to 0.144 kg in the time taken to supply 18 400 I of energy to
the boiling water. Use the data to calculate the specific latent heat of vaporisation of water.
The specific latent heat of vaporisation of water is 2,300,000 J/kg.
To calculate the specific latent heat of vaporisation of water
we need to use the formula:
L = Q/m
Where
L is the specific latent heat of vaporisationQ is the energy supplied to the waterm is the mass of water that is vaporizedFrom the information given, we know that 18,400 J of energy was supplied to the boiling water. We can calculate the mass of water that was vaporized using the change in mass on the balance:
m = 0.152 kg - 0.144 kg = 0.008 kg
Now we can substitute these values into the formula to find the specific latent heat of vaporisation:
L = Q/m = 18,400 J / 0.008 kg = 2,300,000 J/kg
Therefore, the specific latent heat of vaporisation of water is 2,300,000 J/kg.
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Look at the graph. What is the slope of the line?
Answer: B. 2
Explanation:
We will use the given formula to find the slope. Then, we will solve by substituting two points and simplifying.
[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{8-4}{4-2}=\frac{4}{2} =2[/tex]
At first glance it may seem like a slope of one, but then we notice that the x-axis and y-axis have different scales. The slope of the line is 2.
you tie a cord to a pail of water, and you swing the pail in a vertical circle of radius 0.600 m. what minimum speed must you give the pail at the highest point of the circle if no water is to spill from it?
When you tie a cord to a pail of water and swing it in a vertical circle of radius 0.600 m, the minimum speed you should give the pail so that no water is to spill is calculated using conservation of energy which is 3.43 m/s.
Mechanical energy conservation can be expressed as follows:Ei = Ef where Ei is the initial energy of the system and Ef is the final energy of the system. We'll set the lowest point of the circle as the reference point. Then, for the initial and final positions, we obtain: Ei = KEi + PEi = KEf + PEf where KEi and KEf are the kinetic energies of the water at the initial and final positions, respectively, while PEi and PEf are the potential energies of the water at the initial and final positions, respectively, while PEi and PEf are the potential energies of the water at the initial and final positions, respectively.
When the water reaches the top of the circle, its velocity is zero because it reaches a maximum height at the top of the circle. As a result, we can neglect the final kinetic energy (KEf). Hence,Ei = KEi + PEi = PEfWe can solve for the initial velocity (v) using the law of conservation of energy. Initial gravitational potential energy is equal to initial kinetic energy. Therefore, mgh = 1/2 mv² where m is the mass of the water in the pail, g is the acceleration due to gravity, h is the height of the highest point of the circle, and v is the minimum velocity required to keep the water in the pail.
The minimum velocity at the highest point can be found by rearranging this equation: V = √2gh where, V = minimum velocity, h = 0.600 mg = 9.81 m/s². So, we get, V = √2gh = √(2 × 9.81 × 0.600) = 3.43 m/s. Therefore, the minimum velocity to prevent water from spilling from the pail is 3.43 m/s.
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as the person climbs the ladder, what happens to the magnitude of the normal contact force acting on the top end of the ladder due to the wall as long as the ladder doesn't slip?
As the person climbs the ladder, the magnitude of the normal contact force acting on the top end of the ladder due to the wall increases, as long as the ladder doesn't slip.
This is because the normal force acting on the ladder is a reaction force to the weight of the ladder and the person. As the person climbs higher up the ladder, the weight of the person+ladder system also increases. This results in an increase in the force required to maintain static equilibrium, which is provided by the normal force from the wall acting on the ladder. However, if the coefficient of static friction between the ladder and the wall is not high enough, the ladder may slip and the normal force acting on the ladder will decrease. But as long as the ladder doesn't slip, the magnitude of the normal contact force acting on the top end of the ladder due to the wall will increase as the person climbs higher up the ladder.
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pls help
Problem 1:
The 2022 Tesla Model S Plaid can accelerate from 0-60 mph in 2.28 seconds. How many g’s does the
driver experience during this acceleration? How far does the car travel to hit 60 mph?
The driver experiences about 0.835 g, g-force during the acceleration. and the car travels about 49.8 meters (163 feet) to hit 60 mph.
What is g-force?
To calculate the g-force experienced by the driver during the acceleration, we need to use the formula:
g-force = acceleration due to gravity / acceleration of the car
The acceleration due to gravity is approximately 9.81 m/s², or 32.2 ft/s².
The acceleration of the car can be calculated by converting the acceleration from 0-60 mph to meters per second squared (m/s²). We can use the following formula to convert:
a = (v_f - v_i) / t
where:
a = acceleration
v_f = final velocity (60 mph in this case, which is 26.8 m/s)
v_i = initial velocity (0 mph in this case, which is 0 m/s)
t = time taken to reach final velocity (2.28 seconds in this case)
Plugging in the values, we get:
a = (26.8 m/s - 0 m/s) / 2.28 s
a ≈ 11.75 m/s²
Now we can calculate the g-force experienced by the driver:
g-force = 9.81 m/s² / 11.75 m/s²
g-force ≈ 0.835 g
Therefore, the driver experiences about 0.835 g during the acceleration.
To calculate the distance traveled by the car to hit 60 mph, we can use the following formula:
d = v_i * t + 0.5 * a * t²
where:
d = distance traveled
v_i = initial velocity (0 mph in this case, which is 0 m/s)
t = time taken to reach final velocity (2.28 seconds in this case)
a = acceleration (11.75 m/s²)
Plugging in the values, we get:
d = 0 m/s * 2.28 s + 0.5 * 11.75 m/s² * (2.28 s)²
d ≈ 49.8 m
Therefore, the car travels about 49.8 meters (163 feet) to hit 60 mph.
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Complete question is: The 2022 Tesla Model S Plaid can accelerate from 0-60 mph in 2.28 seconds. The driver experiences about 0.835 g, g-force during the acceleration. and the car travels about 49.8 meters (163 feet) to hit 60 mph.
A 0.45 kg stone is thrown at an initial velocity of 23.1 m/s [R 32o U]. Assuming the stone undergoes projectile motion, how much kinetic energy does it have at the top of its flight?
Answer:
To solve this problem, we need to use the conservation of energy principle. At the top of its flight, the stone has zero kinetic energy and only potential energy due to its position above the ground. Therefore, we can calculate the potential energy and then use the conservation of energy to find the kinetic energy at the top of its flight. The gravitational potential energy of an object is given by the formula: PE = mgh where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above the ground. The stone is thrown at an angle of 32 degrees above the horizontal, so its maximum height can be found using the formula: h = (v^2 * sin^2θ) / (2g) where v is the initial velocity, θ is the angle of projection, and g is the acceleration due to gravity
A 5.00kg box slides down a frictionless plane at an angle of 60.0°. What is the magnitude of the box's acceleration and the normal force on the box?
Explanation:
Normal force is mg cos Φ = 5 (9.81) cos (60) = 9.9 N
acceleration
F = ma the downplane force = mg sin Φ
5 * 9.81 sin (60) = 5 (a)
a = 8.5 m/s^2
what is the angular momentum of a 0.310 kg ball rotating on the end of a thin string in a circle of radius 1.05 m at an angular speed of 11.9 rad/s ?
The angular momentum of a 0.310 kg ball rotating on the end of a thin string in a circle of radius 1.05 m at an angular speed of 11.9 rad/s is 3.32 kg.m²/s.
Angular momentum is the rotational equivalent of linear momentum. It is defined as the moment of momentum of an object, given by the product of its moment of inertia and its angular velocity. Mathematically, Angular momentum = moment of inertia × angular velocity Where, a moment of inertia = mass × radius²In this problem, a 0.310 kg ball is rotating on the end of a thin string in a circle of radius 1.05 m at an angular speed of 11.9 rad/s.
The moment of inertia of the ball can be calculated as, a moment of inertia = mass × radius²= 0.310 × (1.05)²= 0.342255 kg.m²Substituting the given values in the formula of angular momentum, we get, angular momentum = moment of inertia × angular velocity= 0.342255 × 11.9= 3.32 kg.m²/s Therefore, the angular momentum of the ball is 3.32 kg.m²/s.
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