(a) 14.94 m horizontally from the base of the building the ball strikes the ground.
(b) The height from which the ball was thrown =15.44 m
(c) It takes 1.86 seconds for the ball to reach a point 10.0m below the level of launching
(a) The horizontal distance from the building can be found using the equation:
x = vi * t
where
vi = initial horizontal velocity = 8.00 m/s * cos(20.0°)
t = time = 3.00 s
x = vi * t = 8.00 * cos(20.0°) * 3.00 = 14.94 m
(b) The height from which the ball was thrown can be found using the equations:
y = vi * t - 0.5 * g * t^2
where
vi = initial vertical velocity = 8.00 m/s * sin(20.0°)
g = acceleration due to gravity = 9.8 m/s^2
t = time = 3.00 s
y = vi * t - 0.5 * g * t^2 = 8.00 * sin(20.0°) * 3.00 - 0.5 * 9.8 * 3.00^2
= 15.44 m
(c) To find the time it takes for the ball to reach a point 10.0 m below the launch point, we can use the equation:
y = vi * t - 0.5 * g * t^2
Rearranging and solving for t, we have:
[tex]t = \sqrt{(2 * (y - vi * t) / g)[/tex]
where
y = -10.0 m (below the launch point)
vi = initial vertical velocity = 8.00 m/s * sin(20.0°)
g = acceleration due to gravity = 9.8 m/s^2
[tex]t = \sqrt{(2 * (-10.0 - 8.00 * sin(20.0°) * t) / 9.8)}[/tex]
Numerically solving,
t = 1.86 s
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When objects are in free fall on earth, to accelerate at -9.8 m/s, which of the following must be neglected?
A. initial velocity
B. mass and weight
C. air resistance
D. surface area
To practice Tactics Box 23.2 Ray Tracing for a Converging Lens.
The procedure known as ray tracing is a pictorial method for understanding image formation when lenses or mirrors are used. It consists of locating the image by the use of just three "special rays." The following tactics box explains this procedure for the case of a converging lens.
TACTICS BOX 23.2 Ray tracing for a converging lens
Draw an optical axis. Use graph paper or a ruler. Establish an appropriate scale.
Center the lens on the axis. Mark and label the focal points at distance f on either side.
Represent the object with an upright arrow at distance s. It is usually best to place the base of the arrow on the axis and to draw the arrow about half the radius of the lens.
Draw the three "special rays" from the tip of the arrow. Use a straightedge.
A ray parallel to the axis (Ray 1) refracts through the far focal point.
A ray that enters the lens along a line through the near focal point (Ray 2) emerges parallel to the axis.
A ray through the center of the lens (Ray 3) does not bend.
Extend the rays until they converge. This is the image point. Draw the rest of the image in the image plane. If the base of the object is on the axis, then the base of the image will also be on the axis.
Measure the image distance s?. Also, if needed, measure the image height relative to the object height.
Follow the steps above to solve the following problem: An object is 9.0 cm from a converging lens with a focal length of 2.8 cm. Use ray tracing to determine the location of the image.
Part A
The diagram below shows the situation described in the problem. The focal length of the lens is labeled f; the scale on the optical axis is in centimeters.
Draw the three special rays, Ray 1, Ray 2, and Ray 3, as described in the tactics box above, and label each ray accordingly. Do not draw the refracted rays.
Draw the rays from the tip of the object to the lens.
The rest of the image in the image plane and measure the image height relative to the object height, if needed.
To solve the problem, you can use the following steps:
the optical axis and center the lens on it.
Mark and label the focal points at distance f on either side, with f = 2.8 cm.
Represent the object with an upright arrow at a distance of s = 9.0 cm from the lens.
the three special rays from the tip of the arrow:
Ray 1: Parallel to the axis, refracts through the far focal point.
Ray 2: Enters the lens along a line through the near focal point, emerges parallel to the axis.
Ray 3: Goes through the center of the lens and does not bend.
Extend the rays until they converge at the image point.
Measure the image distance, s'. The image distance can be calculated using the lens equation:
1/s' + 1/s = 1/f
where s' is the image distance, s is the object distance, and f is the focal length of the lens.
Draw the rest of the image in the image plane and measure the image height relative to the object height, if needed.
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In Vander Waal's equation (P+ a/v^2) (V - b) = RT, what are the dimensions of constants 'a' and 'b'?
Answer:
Explanation:
(P+ a/v^2) (V - b) are two factors in parentheses. These factors which represent physical quantities and are determined by subtraction. You can’t subtract unless both terms have the same dimensions.
[tex]a/v^{2}[/tex] has the same units as p
a=p[tex]v^{2}[/tex] =
[tex][ML^{-1}T^{-2}] [L^{6}] = [ML^{5}T^{-2}][/tex]
v has the same units as b
B = [tex][L^{3}][/tex]
It takes 1.20 X 104 J of work to pull a loaded sled weighing 8.00 X 10² N a distance of
2.00 X 102 m. To do this, a force of 1.20 X 10 2N is exerted on a rope, which makes an
angle with the horizontal.
At what angle is the rope held? Express your answer as a number, space, then the word
degrees.
The angle with which the rope is held is 85.7⁰.
What is the angle made by the rope with horizontal?
The angle with which the rope is held is calculated by applying the following work formula.
W = Fd cosθ
where;
W is the work done by the applied forced is the displacement of the loadθ is the angle made by the applied force with the horizontalcosθ = ( W / Fd )
θ = arc cos ( W / Fd )
The angle with which the rope is held is calculated as;
θ = arc cos ( W / Fd )
θ = arc cos ( 12,000 ) / ( 800 x 200 )
θ = arc cos ( 0.075 )
θ = 85.7⁰
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Which statements best describe X-rays? Check all that apply.
X-rays are a form of electromagnetic radiation with high energy and short wavelength. They are used for medical imaging to see inside the human body, for industrial purposes to inspect materials and for scientific research.
X-rays are produced by high-energy photons that pass through an object and create a shadow image on a detector on the other side. The different densities of the material in the object cause variations in the amount of X-rays that pass through, producing a visual representation of the object's internal structure.
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Missing parts;
Which statements best describe x-rays? check all that apply. x-rays are electromagnetic waves. x-rays are longitudinal waves. x-rays are mechanical waves. x-rays are transverse waves. x-rays travel at the speed of light. x-rays travel at the speed of sound.
A rocket propels itself with a force of 5000N. Its mass is 500kg. If they rocket stops propelling itself at the 2 minute mark, how long will it take for the rocket to touch the ground(starting from when the rocket lifts off)?
An astronaut with mass MA within satellite that orbits Earth at = height H above its surface Earth has mass ME ad radius RE. Which of the following correct expression for the gravitational force exerted on the astronaut by Earth? A. Fg = GMgMa/H^2B. Fg = GMeMa/R^2 eC. Fg = GMgMa/(Re + H)^2 D. Fg = 0
According to the problem the correct expression is C: Fg = GMgMa/(Re + H)^2.
What is expression?Expression is the communicative use of language to convey a thought, idea, emotion, or feeling. It is the process of making meaning out of language through the use of tone, pitch, volume, and other non-verbal communication tools. Expression can be used to express a wide range of feelings and emotions, and can be used to communicate a variety of ideas. It is a powerful way to communicate to others and is an important part of effective communication.
This is because the gravitational force exerted by Earth on the astronaut is a function of the masses of both Earth and the astronaut, as well as the distance between them. This distance is the distance from the center of Earth to the astronaut, which is equal to the radius of Earth (RE) plus the height of the satellite above Earth's surface (H). Therefore, the expression for the gravitational force is Fg = GMgMa/(Re + H)^2.
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which of the following defines a formula for computing the time, t , as a function of the volume, v ?
The t(v) = v/2, defines a formula for computing the time, t as a constant , as a function of the volume, v
What is constant?A constant is a value that does not change. It can be a number, a string of characters, a boolean (true/false) or a constant expression. Examples of constants include pi (3.14159), a string of characters such as “Hello World” and a boolean value of true or false. Constants are used in programming to represent values that are not liable to change, such as the value of pi, or a string of characters that will remain the same throughout the program's execution. They are also used to represent values that are not known until the program is run, such as a user inputted value.
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Complete question:
You have a remote-controlled car that has been programmed to have velocity v⃗ =(−3ti^+2t2j^)m/s, where t is in s. At t = 0 s, the car is at r⃗ 0=(3.0i^+2.0j^)m.
What is the y component of the car's position vector at 8.0 s ?
What is the x component of the car's acceleration vector at 8.0 s ?
What is the y component of the car's acceleration vector at 8.0 s ?
Can someone please help answer these 5 questions the picture is attached
Based on the diagram of the figure:
1. The acceleration of the train between 0 and 20 s = 0.5 m/s²
2. The acceleration of the train between 20 and 40 s = 0.5 m/s²
3. The train's speed at 80 second = 15 m/s
4. The acceleration of the train between 100 and 120 s = 0.75 m/s² (deceleration)
5. The train travel (when the train's speed 10 m/s) = 200 m
The equation of the acceleration:
a = Δv/t
Where,
a = acceleration (m/s²)
Δv = velocity (m/s)
t = time (s)
Hence,
1. The acceleration between 0 and 20:
a = 10/20
= 0.5 m/s²
2. The acceleration between 20 and 40:
a = 10 / (40 - 20)
= 0.5 m/s²
3. The train's speed at 80 = 15 m/s
4. The acceleration between 100 and 120:
a = 15/20
= 0.75 m/s² (deceleration)
5. The distance:
d = speed x time
= 10 x 20
= 200 m
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two light sources illuminate a screen as shown. the sources are in phase and have the same wavelength, but source a is more intense than source b. the screen is far enough from the sources that each source individually illuminates the screen uniformly (the same intensity everywhere on the screen). when only source a is on, the intensity on the screen is ia
When only source A is on, the intensity of the light on the screen is ia, which is the intensity of light from source A.
What is intensity?Intensity is a measure of the strength or power of a stimulus, usually referring to sound, light, or a force. It is measured in terms of the amount of energy or power per unit area, and is often expressed in decibels (dB) for sound, or watts per square meter (W/m2) for light. Intensity is an important concept in physics, as it affects the way energy is transmitted and absorbed. In everyday life, intensity can be used to describe the volume or brightness of a sound or light, or the strength of an emotion or feeling.
This is because the screen is far enough from the sources that each source individually illuminates the screen with the same intensity everywhere on the screen. Since source A is more intense than source B, the intensity of light on the screen from source A would be higher than from source B.
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Two stones released at the same time with one thrown vertically upward from the ground with a velocity of 20m/s and the other dropped form a height collided with each other 2 seconds after their release. determine this height (g=9.8m/s^2
Answer:
The height at which the two stones collided is 78.4 meters, calculated using the formula h = u^2/2g, where u = 20 m/s and g = 9.8 m/s^2.
Explanation:
A square plate is produced by welding together four smaller square plates, each of side
a. The weight of each of the four plates is
shown in the figure.
Find the x-coordinate of the center of gravity (as a multiple of a).
Answer in units of a.
Find the y-coordinate of the center of gravity
(as a multiple of a).
Answer in units of a.
A square flange plate is a metal plate with four projections or “flanges” extending outward from the plate’s edges.
What are square plates?
The four projections create a square shape when viewed from the top. Depending on your needs and budget, these plates can be made from steel or aluminium.
Square flange plates are extremely adaptable and have a wide range of uses. By distributing weight uniformly throughout the structure, they support the beams and columns.
They can also be utilized in welding operations to join two pieces together without gaps or irregularities. Finally, they can offer structural support for surfaces like walls in building projects.
Therefore, A square flange plate is a metal plate with four projections or “flanges” extending outward from the plate’s edges.
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A student wants to determine the Stefan-Boltzmann constant, sigma. The student then measures the luminosity, surface area, and temperature of an object. The temperature of the object is changed several times. The student measures the new temperature and luminosity for each of the new cases. The surface area is assumed to be the same in each case. The data is then plotted to determine the Stefan-Boltzmann Law. L=σAT 4 To determine the Stefan-Boltzmann constant we need to transform the data, that according to the theory will be a 4th degree polynomial, to form a straight line. How do we transform the data so that the graph will be linear? What is the slope of the line? What are the labels for the vertical and horizontal axis of the graph?
The vertical axis of the graph is L/T^4 and the horizontal axis is T.
The units for L/T^4 should be W/m^2K^4, and the units for T should be in Kelvin.
To determine the Stefan-Boltzmann constant, the data must be transformed so that the relationship between luminosity (L) and temperature (T) follows a straight line.
This can be achieved by plotting L/T^4 against T.
According to the Stefan-Boltzmann Law, L = σAT^4,
where A is the surface area and
σ is the Stefan-Boltzmann constant.
So, L/T^4 = σA, which is a constant value for a given surface area.
The slope of the line is equal to σA.
To transform the data so that the graph will be linear, we need to plot the natural logarithm of luminosity (L) against the reciprocal of the temperature (1/T).
This will result in a straight line, as the equation for the Stefan-Boltzmann Law can be transformed into a linear equation by taking the natural logarithm of both sides:
ln(L) = ln(σAT^4) = 4ln(σ) + 4ln(A) - 4/T
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: Which of the following are evidence of past liquid water on the Martian surface? Sort as true or false Items (5 iterns) (Drag and drop into the appropriate area below) fossils minerals that form underwater rounded pebbles present day oceans dry river beds Categories True False
True: - Fossils - Minerals that form underwater - Rounded pebbles - Dry river beds and False: - Present day oceans.
What is Fossils?Fossils are the remains or traces of organisms that lived in past geological ages. They can be found in rocks, sediment, or soil and are usually the preserved remains of animals and plants that lived millions of years ago. Fossils can be bones, teeth, shells, or other body parts. They can also include footprints, nests, burrows, or other evidence of animal behavior. Fossils provide scientists with important information about ancient life and the Earth’s history. By studying fossils, scientists can learn how animals and plants lived, how they evolved, how they interacted with each other, and how their environment changed over time.
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Weddell seals foraging in open water dive toward the ocean bottom by swimming forward in a straight-line path tipped below the horizontal. The tracking data for one seal showed it taking 4.0 min to descend 360 m below the surface while moving 920 m horizontally.
A. What was the angle of the seal's path below the horizontal?
B. What distance did the seal cover in making this dive?
C. What was the seal's speed, in m/s?
The angle of the seal's path below the horizontal at 22.6 degree, cover 991 m distance at the speed 17.53 m/s.
A. We can use the tangent function to find the angle of the seal's path below the horizontal:
tan(angle) = opposite side / adjacent side = 360 m / 920 m = 0.3913
angle = tan^-1(0.3913) = 22.6 degrees below the horizontal
B. To find the total distance covered by the seal, we can use the Pythagorean theorem:
distance = sqrt(360^2 + 920^2) = sqrt(130320 + 846400) = sqrt(976620) = 991 m
C. To find the seal's speed, we divide the total distance covered by the time taken:
speed = distance / time = 991 m / 4.0 min * (1 min / 60 s) = 17.53 m/s.
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A thin, square, conducting plate 42.0 cm on a side lies in the xy plane. A total charge of 4.20 10-8 C is placed on the plate. You may assume the charge density is uniform. (a) Find the charge density on each face of the plate. C/m2 (b) Find the electric field just above the plate. magnitude N/C direction (c) Find the electric field just below the plate. magnitude N/C direction
(a) The charge density on each face of a thin, square, conducting plate 42.0 cm on a side lies in the xy plane. A total charge of 4.20 x 10⁻⁸ C is placed on the plate = 8.4 nC/m²
(b) The electric field just above the plate = 95 kN/C k
(c) The electric field just below the plate = -95 kN/C k
How to determine the charge density of the plate?We disregard "edge" effects and assume that the total charge is distributed uniformly across the plate, with one-half of the total charge on each side. The charge density on the plate's upper and lower surfaces is:
σ = [tex]\frac{1}{2}[/tex] (q / A)
Where:
σ = charge density
q = total charge
A = the area of the plate
Hence,
(a)
σ = [tex]\frac{1}{2}[/tex] (4.20 x 10⁻⁸ C) / (0.500m²)
= 8.4 x 10⁻⁸
= 8.4 nC/m²
The direction ⇒ positive
(b)
The electric field just above the plate:
Ё = (σ / ε₀) k
= (8.4 x 10⁻⁸ / 8.85 x 10⁻¹²)
= (95 kN/C) k
The direction ⇒ positive
(c)
The electric field just below the plate:
(-95 kN/C) k
The direction ⇒ negative
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Which of the following options correctly reflects the relationship between dispersion forces and particle size? Select all that apply.
a)larger particle are more polarizable and experience stronger dispersion forces
b) dispersion forces tend to decrease with size as larger particles are farther apart and therefore attract each other less
c) dispersion forces are strongest for small particles since they can get closer together in space
d) for molecules of similar shape, dispersion forces tend to increase with increasing molar mass
A) larger particles are more polarizable and experience stronger dispersion forces and c) dispersion forces are strongest for small particles since they can get closer together in space
What is polarizable?Polarizability is the ability of a molecule or atom to become polarized when subjected to an external electric field. It is the measure of the ease with which the electrons in a molecule or atom can be redistributed in response to an external electric field. Polarizability is a characteristic of all molecules, atoms, and ions, and governs their behavior in electric and magnetic fields. Polarizable molecules tend to be more reactive and more capable of forming strong bonds with other molecules or atoms. Polarizability is an important factor in determining a molecule's behavior in a variety of biological, chemical, and physical processes.
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Rank each six lunar positions from left to rght based on the amount of moons illuminated surface that is visible from earth from greatest to least
Moon stages as seen from a northern hemisphere viewer. Consider that the Star is in the gibbous phase right now.
A phase is what?
The Moon's phases are the various forms that the Moon takes throughout the course of the month. Every month, the Moon's appearance varies.Phase is the location of a point time on a waveform cycle. A phases is an irrational quantity. The phase is a single full cycle. Additionally, the phase is referred to in terms od rad / s.
How do radians work?
Simply described, a unit of measure is an angle measurement unit predicated just on the radius of a circular. As a result, if we visualise considering the length.
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the industrial revolution and the invention of the steam engine impacted brewing by (select all that apply)
Answer:
The industrial revolution, which began in the late 18th century, brought about many technological advancements that changed the way goods were produced, including the invention of the steam engine. The steam engine made it possible to automate many processes and increased the efficiency of manufacturing. In the brewing industry, the steam engine was used to power pumps and other machinery, making it possible to brew beer on a larger scale and with greater consistency. Additionally, the steam engine made it possible to transport beer over long distances, which helped to expand the market for beer beyond local communities. As a result, the industrial revolution had a significant impact on the brewing industry, making it possible for breweries to produce more beer at a lower cost and to reach a wider market.
Observe the example of foe on the box. The give a complete answer to each question below. Force in Same Direction Force in opposite Direction 1. How would you calculate the net force for example A? Explain. 2. How would you calculate the net force for example 87 Explain.
Answer:
To calculate the net force for example A, you would add the two forces together. Since they are in the same direction, the net force would be equal to the sum of the two forces. 2. To calculate the net force for example 87, you would subtract the force in the opposite direction from the force in the same direction. The net force would then be equal to the difference between the two forces.
for an incoming air flow of 1.0 kg/s, calculate the rate of heat input required to increase the temperature in the combustor to t04
in a ladder problem, why is the normal force of the ladder touching the house the same as the gravitational force?
The wall's normal force is present at the top of the ladder. At the middle of the ladder, gravity is at work. These forces cause torques, that's why the normal force of the ladder touching the house the same as the gravitational force.
What is gravitational force?The gravitational force is described by Newton's Law of Universal Gravitation. The gravitational force, a type of non-contact force, is a constant force in nature that is attractive and constrained.
The force of attraction felt by two or more objects in contact is referred to as gravitational force. The Gravitational Force Formula, which was derived from Newton's Universal Law of Attraction, is used to calculate the force of gravity.
Gravity is all around us. It establishes how much we weigh and how far a thrown basketball will bounce before contacting the ground. The gravitational force on Earth is the same as the force the Earth exerts on you.
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A 0.150-kg glider is moving to the right with a speed of 0.80 m/s on a frictionless, horizontal air track. The glider has a head-on collision with a 0.300-kg glider that is moving to the left with a speed of 2.20 m/s. Find the final velocity (magnitude and direction) of each glider if the collision is elastic. is this question passible?
Answer: The final velocity (magnitude and direction) of the 0.150-kg glider is 4.84 m/s to the right and the final velocity (magnitude and direction) of the 0.300-kg glider is 1.48 m/s to the left.
Explanation:
Yes, this question is possible to solve.
In an elastic collision, the total momentum of the two objects before the collision is equal to the total momentum after the collision. We can use this principle to find the final velocities of the two gliders.
Let's call the final velocity of the 0.150-kg glider "v1" and the final velocity of the 0.300-kg glider "v2". The initial momentum of the 0.150-kg glider is 0.150 kg * 0.80 m/s = 0.12 kg m/s. The initial momentum of the 0.300-kg glider is 0.300 kg * -2.20 m/s = -0.66 kg m/s. The total initial momentum is 0.12 kg m/s + (-0.66 kg m/s) = -0.54 kg m/s.
The total momentum after the collision is equal to 0.150 kg * v1 + 0.300 kg * v2 = 0.
Solving for v1 and v2, we find:
v1 = (0.300 kg * 2.20 m/s + 0.66 kg m/s) / 0.150 kg = 4.84 m/s to the right
v2 = (0.12 kg m/s - 0.150 kg * 0.80 m/s) / 0.300 kg = -1.48 m/s to the left
So the final velocity (magnitude and direction) of the 0.150-kg glider is 4.84 m/s to the right and the final velocity (magnitude and direction) of the 0.300-kg glider is 1.48 m/s to the left.
Which statement describes how fossils can be used to form phylogenetic trees?
Responses
A Through fossils, it is possible to understand the traits of now-extinct organisms
B Fossils allow scientists to understand the behaviors of modern animals.
C Fossils allow scientists to understand the instincts of modern animals.
D Through fossils, it is possible to trace where valuable mineral and oil resources are located.
A. Through fossils, it is possible to understand the traits of now-extinct organisms.
Fossils can be used to form phylogenetic trees by helping scientists to understand the evolutionary relationships between species. By examining the characteristics of fossils, scientists can infer evolutionary relationships and reconstruct the branching pattern of evolutionary history. This information can then be used to construct phylogenetic trees, which are diagrams that show the evolutionary relationships between species. By comparing the similarities and differences in the physical characteristics of different species, scientists can infer which species are more closely related and which are more distantly related. These relationships provide important insights into the evolution of life on Earth and help us to understand the history of life on our planet.
which of the following statements about multiple sclerosis (ms) is false? which of the following statements about multiple sclerosis (ms) is false? ms is characterized by increases in conduction velocity of the optic nerve. magnetic resonance imaging can help diagnose some cases of ms ms is characterized by demyelination of axons along with some axon loss symptoms of ms may include weakness, lack of coordination, impaired vision and speech.
The following are statements about multiple sclerosis (MS):
1. MS is characterized by increases in conduction velocity of the optic nerve
2. Magnetic Resonance Imaging can help diagnose some cases of MS
3. MS is characterized by demyelination of axons along with some axon loss
4. Symptoms of MS may include weakness, lack of coordination, impaired vision and speech.
The first statement about multiple sclerosis (MS) is false. It is stated that MS is characterized by increases in conduction velocity of the optic nerve.
What is Multiple Sclerosis (MS)?An immune-mediated attack on the central nervous system characterizes the chronic, inflammatory disease known as multiple sclerosis (MS). This inflammatory disease can be diagnosed by some diagnostic techniques, such as MRI, Medical history suggestive of CNS process, and Neurological exam findings.
The diagnostic technique that provides the most accurate, non-invasive method of imaging the brain, spinal cord, or other parts of the body right now is magnetic resonance imaging (MRI). It is the go-to imaging technique for determining an MS diagnosis and tracking the progression of the condition. In actuality, MRI confirms the MS diagnosis in over 90% of patients. (the second statement is true)
MS is characterized by chronic inflammation, demyelination, gliosis, and neuronal loss, loss of vision in an eye, loss of power in an arm or leg or a rising sense of numbness in the legs. (the last statement is true; meanwhile the first statement is incorrect; MS is not characterized by an increase in the optic nerve, but rather the opposite.)
It is generally known that the main factor behind the progressive neurologic impairment that the majority of MS patients experience is the loss of axons and neurons. (the third statement is true)
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a spring is hanging from the ceiling. attaching a 560 gg physics book to the spring causes it to stretch 25 cmcm in order to come to equilibrium.part awhat is the spring constant?express your answer with the appropriate units.view available hint(s)for part aactivate to select the appropriates template from the following choices. operate up and down arrow for selection and press enter to choose the input value typeactivate to select the appropriates symbol from the following choices. operate up and down arrow for selection and press enter to choose the input value typekk
The value of the spring constant is 8704 N/m.
The spring constant (k) can be found using Hooke's law, which states that the force required to stretch or compress a spring is proportional to the distance it is stretched or compressed.
Mathematically, it can be expressed as:
F = -kx
where F is the force applied to the spring,
k is the spring constant, and
x is the distance the spring is stretched or compressed.
Since the force applied to the spring is equal to the weight of the book, we can write:
F = mg = -kx
where m is the mass of the book and
g is the acceleration due to gravity.
Substituting the given values, we get:
560 g * 9.8 m/s^2 = -k * 0.25 m
Dividing both sides by -0.25 m and solving for k,
we will get it as:
k = (560 g * 9.8 m/s^2) / 0.25 m
k= 8704 N/m
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The angular speed of Earth is 1.99 x 10-7 radians /seconds.
Yes, that is correct. The angular speed of Earth is 1.99 x 10-7 radians per second. This is equal to 2π radians per year, or 1 revolution per 365.25 days.
The angular speed of the Earth is the rate at which it rotates around its own axis. It is measured in radians per second, and is typically expressed as 2π radians per day, or 7.27 x 10-5 rad/s. The angular speed of the Earth is constant, meaning that it does not change over time. This is important, as it allows us to measure the length of a day and use this to calculate the rate of other processes such as the seasons and the passage of time.
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1. A piece of purple plastic is charged with 1.55×106
extra electrons compared to its neutral state. What is its net electric charge (including its sign) in coulombs?
net electric charge:
2. A glittering glass globe is given a net electric charge of 9.53×10−6
C. Does the globe now have more or fewer electrons than it does in its neutral state?
fewer/more
3. How many more or fewer?
amount:
Each electron provides a charge of -1.602 × 10^-19 coulombs. If there are 8.51 × 10^-6 extra electrons, 8.51 × 10^6 electrons___x = -1.602 × 10^-19*8.51 × 10^6/1=-1.32× 10^-12 coulombs.
What is Electric charge?So the extra electrons provide a charge of 1.32× 10^-12 coulombs. So the net charge is -1.32× 10^-12 coulombs (there are more electrons besides those extra electrons, but there are also protons, so they don’t affect the net charge – the other electrons just compensate the charge of the protons).
When the number of protons in the nucleus is different from the number of electrons around that nucleus, an electrical charge is created in the atom of matter. A negative charge is present in an atom if there are more electrons than protons.
A positive charge is present in an atom if there are more protons than electrons. The amount of charge that an atom carries is always a multiple of the elementary charge, or the charge that one electron or one proton carries.
Therefore, Each electron provides a charge of -1.602 × 10^-19 coulombs. If there are 8.51 × 10^-6 extra electrons, 8.51 × 10^6 electrons___x = -1.602 × 10^-19*8.51 × 10^6/1=-1.32× 10^-12 coulombs.
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best example of kinetic energy being transformed into potential energy
A) a ball rolling up a hill
B) bending a paperclip
C)starting an automobile
Answer:
Explanation:
If a Ball rolls up a hill, the kinetic energy of motion is then converted into potential energy stored in the ball at the top of the hill. The Potential hill stored in the ball can be used to roll the ball down the hill.
Answer:
Explanation:OPTION(A)
WHEN THE BALL ROOLS UP THE HILL IT LOSES ITS KINETIC ENERGY CONTINUOUSLY AND WHEN IT REACHES AT TOP MOST POINT ALL OF
ITS KINETIC ENERGY LOSES AND CONVERTS INTO POTENTIAL ENERGY.HENCE OPTION(A) IS CORRECT.
