The total energy of the skier at the beginning of the slope is 63360 J.
What is total energy?Total energy is the sum of all the energies of a system, including thermal, mechanical, electrical, and chemical. It is the measure of the capacity of a system to do work. It can be expressed as the product of the mass of the system and its velocity squared.
The kinetic energy of the skier at the beginning of the slope is given by the equation KE = .5mv^2, where m is the mass of the skier (in kilograms) and v is the velocity of the skier (in meters per second).
The kinetic energy at the beginning of the slope is (0.5)(72kg)(0m/s)^2 = 0 J. Since the skier was 90 meters high, we can assume a gravitational potential energy of (90m)(9.8m/s^2)(72kg) = 63360 J.
Therefore, the total energy of the skier at the beginning of the slope is 63360 J.
At the end of the slope, the skier converts the energy into sound and heat energy. The sound energy of 64 J is given. Therefore, the heat energy must be 63360 - 64 = 63296 J. This is the amount of energy converted to heat energy from the collision.
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The amplitude of pulse A is 20cm and that of pulse B is 10 Cm what is the maximum of the resultant pulse
Answer:
The maximum amplitude of the resultant pulse would be 30 cm.
Explanation:
The maximum amplitude of the resultant pulse would be 30 cm.
The maximum amplitude of the resultant pulse would be the sum of the amplitudes of pulse A and pulse B, which is
20 cm + 10 cm = 30 cm.
This is because the maximum amplitude of the resultant pulse would occur when the two pulses are in phase, meaning they are both at their highest point at the same time.
When the two pulses are out of phase, their amplitudes will cancel each other out to some degree, resulting in a lower overall amplitude.
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If the amplitude of pulse A is 20cm and that of pulse B is 10 cm, the maximum of the resultant pulse is 30 cm.
What is amplitude?
A sound wave's amplitude measures the height of the wave. When a sound is made, the maximum displacement of the medium's vibrating particles from their mean position determines the amplitude of the sound wave. It is the separation between the wave's crest or trough and its mean location.
The phenomenon of constructive interference occurs when two waves superimpose on each other in the same phase, with the resultant wave's amplitude being equal to the sum of the separate waves' amplitudes and producing the maximum amount of light.
The amplitude of pulse A is 20cm.
The amplitude of pulse B is 10cm.
Hence, the maximum of the resultant pulse is = (20 cm + 10 cm) = 30 cm.
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Two arrows are fired simultaneously with the same speed of 30.0 m/s. Each arrow has a mass of 0.100 kg. One is fired due east and the other due south. What is the magnitude of the total momentum of this two-arrow system
The magnitude of the total momentum of the two-arrow system can be calculated by adding the magnitudes of the individual momenta of each arrow is 4.242.
Calculation=
total momentum = sqrt ( m1u1^2 + m2 u2 ^2)
m1 u2 = 30 * 0.1 = 3
total momentum = sqrt ( 9 + 9 ) = 3 sqrt (2) = 4.242
What is the projectile's acceleration at the pinnacle of its trajectory?As a result, from the moment the projectile is hurled, through its greatest point, and until it touches the earth, its acceleration is 9.81 meters per second per second, or equal to the acceleration caused by gravity.
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is ammonia a substance
Answer:
yes
Explanation:
it is regulated in United States that is non flamable gas
an astronomer observes a magnitude 18 star, but needs 10 times as many. what's the faintest star he can see and still get enough photons.
As according Scientific American, even one photon can result in a visible burst of light.
How so many photons are necessary for you to see a star?The human eye can see about 10 photons.To an eye accustomed to the dark, the weak light may appear to be flashing, yet each twinkling just represents a few photons.When shooting images of the cosmos from orbit with very sensitive equipment at very low temperatures, a photon stream would be sufficient.
Can you see a single photon?The answer is yes because the receptors in the retina can respond to a single photon.However, brain filters only allow a signal to pass through and activate the brain when five to nine additional signals do the same in less than a hundred milliseconds.
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How far did Makalah push the 500 Newton car if she did 800 Joules of work?
Answer:
300 i belive
Explanation:
A twenty-acre park was created to give residents a place to hike, bike, and enjoy other recreational activities. Kathy was hired to design a map that would show residents how they could easily access different areas of the park. Sean was hired to monitor the number of visitors they have per month and analyze the park’s popularity for funding possibilities. Joan was hired to offer assistance and teach residents about the plants and animals they may encounter while at the park.
Which best describes the tasks Kathy, Sean, and Joan perform?
Kathy and Joan perform tasks common to the Engineering and Technology pathway and Sean performs tasks common to the Science and Math pathway.
Kathy performs tasks common to the Engineering and Technology pathway and Sean and Joan perform tasks common to the Science and Math pathway.
Sean performs tasks common to the Engineering and Technology pathway and Kathy and Joan perform tasks common to the Science and Math pathway.
Sean and Joan perform tasks common to the Engineering and Technology pathway and Kathy performs tasks common to the Science and Math pathway.
Answer:
park’s popularity for funding possibilities. Joan was hired to offer assistance and teach residents about the plants and animals they may encounter
Answer:
B on edge 2021
Explanation:
Kathy performs tasks common to the Engineering and Technology pathway and Sean and Joan perform tasks common to the Science and Math pathway.
how to calculate the mass of a body whose weight is 200 N
Answer:
20.4081633 kilograms.
Explanation:
To find an object's mass using its weight, the formula is Mass equals Weight divided by the Acceleration of Gravity (M = W ÷ G). Convert the weight measured in pounds to the equivalent in Newtons.
Divide the weight in Newtons by the acceleration of gravity to determine the mass of an object measured in Kilograms. On Earth, gravity accelerates at 9.8 meters per second squared (9.8 m/s2). For example, to determine the mass of an object weighing 667 Newtons, calculate as follows:
200 Newtons ÷ 9.8 m/s2 = 20.4081633 kilograms.
A charged particle is placed in an external magnetic field and it is moving in a circular path of radius 26m.The magnetic force acting on the particle is 16N.What is the kinetic energy of the particle
Answer:
208 Joules
Explanation:
The radius of the circular path the charge moves, r = 26 m
The magnetic force acting on the charge particle, F = 16 N
Centripetal force, [tex]F_c[/tex] = m·v²/r
Kinetic energy, K.E. = (1/2)·m·v²
Where;
m = The mass of the charged particle
v = The velocity of the charged particle
r = The radius of the path of the charged particle
Whereby the magnetic force acting on the charge particle = The centripetal force, we have;
F = [tex]F_c[/tex] = m·v²/r = 16 N
(1/2) × r × [tex]F_c[/tex] = (1/2) × r × m·v²/r = (1/2)·m·v² = K.E.
∴ (1/2) × r × [tex]F_c[/tex] = (1/2) × 26 m × 16 N = = (1/2)·m·v² = K.E.
∴ 208 Joules = K.E.
The kinetic energy of an particle moving in the circular path, K.E. = 208 Joules.
Give 3 real life examples of some other examples that you have seen of people displaying data. List the name of the data being displayed.
I NEED THIS ASAP
3 real life examples of people displaying data are, analyzing train schedule, tracking, favorite player stats, analyzing data of workout machines.
Analyzing different types of data is included in our daily life routine. We can understand it by the following examples:
First is analyzing the train schedule to find out which train is going to our destination, and how much time it will take to reach there, etc. Second one is analyzing the player stats to look how amazing the records have been of your favorite player in last 5 years, against a particular team, etc. Third one is analyzing the data of workout machines, like, how much weight you gained/loose, how much weight you are lifting in the gym, etc.
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which of the following causes low lung compliance as a result of last of electrical lung tissue destruction
Interstitial lung disease is low lung compliance as a result, last of electrical lung tissue destruction.
Interstitial lung disorders brought on by breathing in particles like silicon and asbestos (asbestosis) can cause low lung compliance (silicosis).
Lungs and the pleural cavity have the capacity to expand and contract in response to variations in pressure. Lung compliance, which is a key determinant of lung health and function, is defined as the volume change per unit of pressure change across the lung. Lung compliance varies between inhalation and expiration because measurements of lung volumes vary between the two at the same pressure. Depending on whether only volume and pressure are measured (static) or whether their variations over time are also recorded, lung compliance can be classified as either static or dynamic.
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A car moves at 45 kilometers per hour.
Which option describes if the given value is speed or velocity?
speed, because there is a mention of time speed, because there is a mention of time
velocity, because there is a mention of time velocity, because there is a mention of time
velocity, because there is no specific directionvelocity, because there is no specific direction
speed, because there is no specific direction
Since this car moves at 45 kilometers per hour, an option which describes if the given value is speed or velocity include the following: D. speed, because there is no specific direction.
What is speed?In Science, speed can be defined as the distance covered by a physical object per unit of time. This ultimately implies that, speed is a scalar quantity because it has magnitude but no direction.
What is velocity?In Science, velocity can be defined as the distance covered by an object per unit of time in a specific direction. This ultimately implies that, velocity is a vector quantity because it has both magnitude and direction.
In this context, we can reasonably infer and logically deduce that a car that moves at 45 kilometers per hour describes speed rather than velocity, because there is no specific direction mentioned.
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Since no direction is specified, the correct answer is the last option which is speed, because there is no specific direction
Difference Between Speed and VelocitySpeed is a scalar quantity. That is, it has only magnitude but no direction. While velocity is a vector quantity. That is, it has both magnitude and direction.
If a car moves at 45 kilometers per hour, only the car magnitude is given but no direction.
The option that describes if the given value is speed or velocity is speed, because there is no specific direction
Therefore, the correct option is speed, because there is no specific direction.
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pls help! True or False?
Answer:
True
Explanation:
i hope it helps
please follow me
Answer:
FALSE
Explanation:
I'm not pretty sure abt it but hope that helps!
A sound wave is incident on a pool of fresh water (25 °C). The sound enters the water perpendicularly and
travels a distance of 0.45 m before striking a 0.15-m-thick copper block lying on the bottom. The sound passes
through the block, reflects from the bottom surface of the block, and returns to the top of the water along the
same path. How much time elapses between when the sound enters and when it leaves the water?
Answer:
0.67 ms
Explanation:
The total time it takes the sound to enter and leave the water is t and
t = t' + t" where t' = total time of sound in air = d'/v' where d' = total distance sound travels in water = 2D (since the sound waves passes through the water twice )where D = distance travelled from water to surface of copper block = 0.45 m and v' = speed of sound in water = 1500 m/s and t" = total time of sound in copper = d"/v" where d" = total distance sound travels in copper block = 2D' (since the sound waves passes through the copper block twice )where D' = thickness of copper block = 0.15 m and v" = speed of sound in water = 4600 m/s
So, t = t' + t"
t = d'/v' + d"/v"
t = 2D/v' + 2D'/v"
Substituting the values of the variables into the equation, we have
t = 2 × 0.45 m/1500 m/s + 2 × 0.15 m/4600 m/s
t = 0.90 m/1500 m/s + 0.30 m/4600 m/s
t = 0.0006 s + 0.000065 s
t = 0.000665 s
t = 0.665 ms
t ≅ 0.67 ms
Note that the sound wave passes through the water and copper block without refracting since it enters perpendicularly. Also, the sound wave passes twice through each of the copper block and water hence the total distance in each material is twice the initial distance or thickness.
Answer:
t = 6.63 10⁻⁴ s
Explanation:
The speed of sound is constant in a given material medium, so to calculate time we can use the uniform motion relationships
v = d / t
t = d / v
the speeds of sound in the three media are
air v = 343 m / s
water v₁ = 1493 m / s
copper v₂ = 5010 m / s
the distance traveled in the water on the round trip is
d = 2 x
d₁ = 2 0.45 0.90m
the time to travel this distance is
t₁ = d₁ / v₁
t₁ = 0.9 / 1493
t₁ = 6.028 10⁻⁴ s
the distance in the copper
d₂ = 2 0.15 m
d₂ = 0.30 m
the time to travel this distance in copper is
t₂ = d₂/ v₂
t₂ = 0.30 / 5010
t₂ = 5.988 10⁻⁵-5 s
the total travel time is
t = t₁ + t₂
t = 6.028 10⁻⁴ + 0.5988 10⁻⁴
t = 6.6268 10⁻⁴ s
t = 6.63 10⁻⁴ s
A lever is used to lift an object with a weight of 60 Newtons. The effort force is 15 meters from the fulcrum, while the load force is 5
meters from the fulcrum. What is the mechanical advantage? (1 point)
0 3
O 12
O 75
0 4
120 foot pounds of anticlockwise torque are generated around the pivot point by the 60 pound load resting 2 feet from the fulcrum.
How can the load force of a lever be determined?The force of the effort (Fe) multiplied by the effort's distance from the fulcrum (de) in a class one lever equals the force of the resistance (Fr) multiplied by the resistance's distance from the fulcrum (dr).
What mathematical equation can be used to determine a lever's mechanical advantage?(b) The optimal mechanical advantage of a lever is equal to the effort arm's length divided by the resistance arm's length. The IMA is typically calculated as the effort force, Fe, divided by the resistance force, Fr.
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Answer:
3
Explanation:
I took the test
Under certain circumstances, potassium ions (K ) in a cell will move across the 8. 15 nm thick cell membrane from the inside to the outside. The potential inside the cell is -70. 5 mV and the potential outside is zero. What is the change in the electrical potential energy of a single potassium ion as it moves across the membrane
The change in electrical potential energy of a single potassium ion as it moves across the membrane is determined by the difference in the electrical potential energy of the ion on either side of the membrane.
What is Energy?
Energy is the capacity for doing work. It can take on many forms, including mechanical, electrical, chemical, thermal, and nuclear energy. Energy can be converted from one form to another, and it can be used to do work or to produce heat.
Step 1: Calculate the charge of a single potassium ion.
Charge of potassium ion = 1 x 1.602 x 10^-19 Coulombs
Step 2: Calculate the change in potential.
Change in potential = 70.5 mV
Step 3: Calculate the change in electrical potential energy.
Change in electrical potential energy = Charge of potassium ion x change in potential
= (1.602 x 10^-19 Coulombs) x (70.5 mV)
= 1.13 x 10^-17 Joules
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What does the second law of thermodynamics tell us about?
Explanation:
The Second Law of Thermodynamics states that the state of entropy of the entire universe, as an isolated system, will always increase over time. The second law also states that the changes in the entropy in the universe can never be negative.
during the game, a player flies above a ring and drops a ball through from a height of 20 m. f the ball takes 7.0 seconds to fall, find the acceleration due to graviit
The acceleration due to gravity is 0.8 m/s^2.
What is an explain acceleration?Acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.
What is the SI unit for acceleration?In physics, acceleration is the rate at which the velocity of an object changes in relation to time. According to Newton's Second Law, the sum of all forces acting on an item results in its acceleration. Meter per second squared (m s2) is the unit of acceleration used in the SI system.
The motion of an object in free fall is a uniformly accelerated motion,
[tex]s=ut+\frac{1}{2} gt^2[/tex]
s is the vertical displacement
u is the initial velocity
t is the time of flight
g is the acceleration of gravity
For the ball dropped,
s = 20 m
t = 7.0 s
u = 0
Now, substitute values,
[tex]20=0+\frac{1}{2} g(7.0)^2[/tex]
[tex]g=\frac{2*20}{7.0^2}[/tex]
[tex]g=0.8 m/s^2[/tex]
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Does speed increase down a ramp?
The speed depends on the gravitational force acting on the object in the rolling motion of the object that is acting on it at a continuous moment rate. the speed increases at a constant rate.
Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.
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What is the acceleration when t 0?
The acceleration of the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.
Acceleration is the rate of change of velocity. At any point on a trajectory, the magnitude of the acceleration is given by the rate of change of velocity in both magnitude and direction. Acceleration of the body that we can consider is the increasing value of the velocity of any object at a constant rate and that of wee can calculate. Hence by the primary information that we have we can formerly consider that the acceleration which is acting on the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.
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You can just say if its A B C or D.
Thank you!
Look at the diagram below. Calculate the present resistance of the variable resistor if the ammeter is reading 0.8A.
According to the given statement The variable resistor has a resistance value of 275Ω.
A variable resistor's resistance is, what?A variable resistor's third terminal allows the user to adjust the resistance between zero and a predetermined maximum value. You can notice consistent resistance exists between the terminals 1 and 3 of the variable resistor when the circuit diagram in Figure 4 is closely studied.
Variable resistance: How does it work?Changing the path that current must take allows a variable resistor to function. A conducting metal or ceramic strip that is connected to one area of the circuit is located inside the resistor. Another wire will be moved inside the resistor as you turn the dial.
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The complete question is -
Calculate the present resistance of the variable resistor if the ammeter is reading 0.8A. What is resistance value ?
for what emf e does the 200ω resistor in the following figure dissipate no power if δv = 150 v ?
The total power dissipated by the resistor is 150 V x 1.33 A = 199.5W.
Since the voltage of the battery is 150 volts, and the resistance of the resistor is 200ω, then the current through the resistor is equal to 150V/200ω = 1.33 A.
As a result, the resistor dissipates a total of 150 V x 1.33 A = 199.5 W of electricity.
Power in physics is the amount of energy that is transferred and converted in a given amount of time. The International System of Units uses the watt, or one joule per second, as the unit of power. In older texts, power is frequently referred to as activity. Power is a scalar quantity.
Other aspects have been linked to power; for example, the product of a ground vehicle's velocity, traction force on its wheels, and aerodynamic drag equals the power needed to propel the vehicle.
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Suppose a 51-N sled is resting on packed snow. The coefficient of kinetic friction is 0.13. If a person weighing 680 N sits on the sled, what force is needed to pull the sled across the snow at constant speed
95 N much force is needed to pull the sledge at a constant speed.
Explain force.A force in physics is an effect that has the power to alter what an object moves. Every object with mass might travel faster or at a different rate as a result of a force. A push or a pull made natural sense when describing force. Since forces are vector quantities, they own both size and direction.
The sled is being subjected to the following horizontal forces:
F = applied force.
Fr = friction force.
And the following vertical forces:
N = normal force.
W =combined weight of the person and the sled
The second law of Newton states:
F = m * a
where the object's mass is "m" and its acceleration is "a"
So, in the horizontal direction:
F - Fr = m *a
Determining the force, F, required to keep the sled moving at a constant pace (acceleration = 0). Then,
F - Fr = 0
F = Fr
The applied force must have a magnitude equal to or greater than the friction force.
The friction force is calculated as follows:
Fr = μ · N
Where μ is coefficient and N represent the normal force, respectively.
Let's use Newton's second law with in vertical direction to determine the normal force:
F = N - W
= m · a
Keep in mind that the sledge is not accelerated vertically so that a = 0:
N - W = 0
N = W
The mass is the total of a weight of a person plus the mass of the sled, and the force is equivalent to the weight:
W = 51 N + 680 N = 731 N
Then:
N = 731 N
Fr = 0.13 · 731 N
Fr = N
Then
F = 95.03 N
As a result, 95 N of force is necessary to pull a sled at a steady pace.
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A class
A class
A class
-
-
lever never has a mechanical advantage.
lever always has a mechanical advantage.
lever could go either way. (1 point)
O 2; 3; 1
O 2; 1; 3
O 1; 2; 3
O3; 2; 1
The correct answer is 1; 2; 3. Lever can either have a mechanical advantage or no mechanical advantage, depending on the lever's mechanical design.
What is mechanical design?Mechanical design is the process of taking a product from concept to reality. Through this process, engineers analyze, design, and manufacture components and systems that are used in a variety of industries. Mechanical design involves a broad range of skills, including mathematics, engineering, physics, and computer-aided design (CAD) software. The process begins with the understanding of the problem and the requirements of the design. From there, engineers must select the best materials, create a detailed design, and simulate the design in a virtual environment. After the design is complete, engineers then use the principles of manufacturing to produce the components through machining, molding, and other processes.
If the lever is designed with a long arm and a short arm, it can have a mechanical advantage. If the lever is designed with two arms of equal length, it will not have a mechanical advantage.
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Answer:
(Question)
A class __ lever never has a mechanical advantage.
A class __ lever always has a mechanical advantage.
A class __ lever could go either way.
(Answer)
3;2;1
(Question)
A lever is used to lift an object with a weight of 60 Newtons. The effort force is 15 meters from the fulcrum, while the load force is 5 meters from the fulcrum. What is the mechanical advantage?
(Answer)
3
(Question)
With which class of levers is it possible to increase the force that must be applied?
(Answer)
class 1 and 3
(Question)
600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters?
(Answer)
600 J
(Question)
A lever with an effort arm of 10 meters and a load arm of 2 meters is used to lift an object weighing 220 Newtons to a height of 4 meters. If 400Joules of work is done, how much force must have been applied?
(Answer)
100 N
Explanation:
i just finished the quick check UwU
If you cool down a container of gas, there will be _______ collisions with the side of the container, resulting in ______ pressure.
A container of gas might lose pressure by cooling down because there are fewer collisions with the container's side.
What transpires when a container of gas is cooled?When the gas in the supplied sealed jar is chilled, the molecules travel more slowly. This occurs because when the temperature drops, gaseous particles get closer to one another (on cooling). Upon cooling, there are also fewer accidents.
How does a gas's compression affect the frequency of collisions inside a container?The container's capacity has shrunk, which reduces the distance the gas molecules must travel before colliding. As a result, there will be more collisions per second, increasing the pressure.
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The introduction of vaccines to the United States helped
What are the coefficients in the equation for the magnetic field component of the wave after the period increases by a factor of 2.70
The coefficient of magnetic field was found to be Bmax, k = 1.53x10¹¹, 1.14x10⁴,3.43x10¹² T,1/m,rad/s.
Define magnetic field ?Moving charges, wave action, and magnetic materials all experience the magnetic influence of a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetization is applied to it when it moves through a magnetic field. A permanent magnet's magnetic field draws on ferromagnetic materials like iron and repels or attracts other magnets. The three additional magnetic effects of diamagnetism, electromagnetism, and biomagnetism also cause tiny forces to be exerted on "nonmagnetic" materials by a nonuniform magnetic field, although these forces are frequently so minute , they can only be detected using laboratory apparatus. Electric currents used in electromagnets and time-varying electric fields produce magnetic fields that surround magnetized objects.
Magnetic field maximum = 1.531011,
The wave number is 1.14104.
In teslas, the angular frequency is 3.431012 T.
meters-1 in reverse,
rad/s = radians per second
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What cells are missing in SCID?
The term "combined immunodeficiency" refers to a genetic abnormality that affects T cells as well as at least one other kind of immune cell in SCID patients.
According to which immune cells—T, B, and/or NK cells—are damaged, different types of SCID are categorized. The deadly illness known as severe combined immunodeficiency (SCID) is caused by a variety of hereditary factors and is defined by severe impairments in T and B cell activity as well as, in some kinds, NK cell function.
X-SCID B cells typically have normal numbers, but they perform abnormally because IL-21 signaling, which is vital for the B-cell lineage's maturation, differentiation, and activation, is compromised (4, 5). Patients with SCID who receive HLA-identical transplants have a survival rate of about 90%. (3, 6).
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The length of nylon rope from which a mountain climber is suspended has a force constant of 1.2×104 N/m.
a. What is the frequency, in Hz, at which he bounces, given his mass and the mass of his equipment is 98 kg?
b. How much would this rope stretch, in centimeters, to break the climber's fall if he free-falls 1.8 m before the rope runs out of slack?
c. What is the frequency, in Hz, at which he bounces, given his mass and the mass of his equipment is 98 kg if the rope is twice as long?
d. How much would this rope stretch, in centimeters, to break the climber's fall if he free-falls 1.8 m before the rope runs out of slack if he rope was twice the length?
The length of nylon rope from which a mountain climber is suspended has a force constant of 1.15 ✕ 104 N/m.
What is the force constant measured in?Spring constant is the common name for the force constant. Hooke's law states that F=-kx. k=N/m is used to replace units in the equation where F is force, x is displacement, and k is force constant (spring constant) to determine the SI unit of force constant (spring constant).
What is a graph's force constant?The slope (gradient) of the graph equals the force constant. The proportionality constant, or k, is also known as the force constant in physics. A spring that is more rigid will have a higher value for k. The graph is no longer a straight line beyond point A since the gradient has changed and the formula F = Kx is no longer valid.
Calculation:Maximum speed is at equilibrium where:
F = kx ⇒x =F/k
Now, F x=1/2mv²+1/2kx²
Solving we get,
V=F/√mk=Vmax
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Some liquid is poured into a burrete so that it reads 14cm³.50 drops were run each of volume 0.1cm³ .
What is the volume of the fifty drops
Given :
Liquid is poured into a burrete so that it reads 14cm³.
50 drops were run each of volume 0.1cm³ .
To Find :
The volume of liquid in burrete after 50 drops.
Solution :
Volume of each drop, v = 0.1 cm³.
Initial volume in burrete, V = 14 cm³.
Now, volume left after droping 50 drops are :
[tex]L = V - 50v\\\\L = 14 - 50\times 0.1 \ cm^3 \\\\L = 9 \ cm^3[/tex]
Therefore, the volume left in burrete is 9 cm³ .