The effective resistance of the parallel combination is 80 ohms.
What is resistance ?Resistance is the ability to oppose or reject something or someone. It is often used to describe the opposition of a force or entity such as an electrical current or a political ideology. In physics, resistance is the measure of an object's opposition to a flow of electric current. Resistance is measured in ohms and is determined by the material, geometry, and temperature of the object in question.
The effective resistance of the parallel combination can be calculated using the following formula: 1/R = 1/R1 + 1/R2Where R1, R2 are the individual resistances.In this case, R1 = 2 ohms/m x 40 cm = 80 ohms, and R2 = 2 ohms/m x 60 cm = 120 ohms.Therefore, 1/R = 1/80 + 1/120 = 0.0125,R = 1/0.0125 = 80 ohms.
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WILL MARK BRAINLIEST
C. If the speed of the wave is 25 m/s, what is the wavelength of the wave? Show data
listing, equation, substitution leading to the answer for full credit.
We are given:
Frequency of the wave = 10 Hz
Speed of the wave = 25 m/s
We can use the formula:
speed = frequency x wavelength
Rearranging the formula, we get:
wavelength = speed / frequency
Substituting the given values, we get:
wavelength = 25 m/s / 10 Hz
wavelength = 2.5 m
Therefore, the wavelength of the wave is 2.5 m.
Children's behavior is marked by egocentrism during the concrete-operational stage.
O True
False
Answer:
false because this is not possible that children behaviour is marked over by egocentrism children are also the tender creation of God
Draw a diagram that represents how a mechanical wave interacts with a particular material.
Choose a material that will interact with a mechanical wave.
Include reflection, absorption, and transmission in your diagram.
A sound wave will suffer reflection, absorption, and transmission when it comes into contact with a concrete wall. The characteristics of the wave and the substance determine how much of each of these interactions occur.
When a mechanical wave encounters a particular material, its behavior depends on the properties of both the wave and the material. Let's take an example of a sound wave interacting with a wall made of concrete.
Reflection: When the sound wave meets the concrete wall, some of the wave energy gets reflected back toward the source. The amount of reflection depends on the angle of incidence and the acoustic impedance of the materials. In this case, a significant amount of sound will be reflected since the acoustic impedance of air and concrete is very different.
Absorption: Some of the sound energy may be absorbed by the concrete wall as it passes through it. The amount of absorption depends on the thickness of the wall, its density, and its acoustic absorption coefficient. Concrete walls are known to have low absorption coefficients, which means that they are not very effective at absorbing sound.
Transmission: The sound wave can also transmit through the concrete wall, and the amount of transmission depends on the wall's thickness and the frequency of the sound. Lower-frequency sounds tend to transmit better through concrete walls than higher-frequency sounds.
Therefore, when a sound wave encounters a concrete wall, it will experience reflection, absorption, and transmission. The amount of each of these interactions depends on the properties of the wave and the material.
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As clothing tumble in a dryer, they can become charged. If a small piece of lint with a charge of +2.15 E−19 C is attracted to the clothing by a force of 4.0 E−9 N, what is the magnitude of the electric field at this location?
A. 1.9 E10 N/C
B. 5.4 E10 N/C
C. 6.1 E10 N/C
D. 8.6 E10 N/C
Answer:
The magnitude of the electric field at the location can be calculated using the formula for electric force:
Electric force (F) = electric field (E) * charge (q)
Rearranging the formula to solve for electric field (E):
Electric field (E) = Electric force (F) / Charge (q)
Given:
Charge (q) = +2.15 E-19 C (magnitude of the charge of the lint)
Electric force (F) = 4.0 E-9 N (force of attraction between the lint and the clothing)
Plugging in the values into the formula:
Electric field (E) = 4.0 E-9 N / +2.15 E-19 C
Calculating the electric field:
Electric field (E) = 1.8604651162790697 E10 N/C
Rounding to appropriate significant figures, the magnitude of the electric field at the location is approximately 1.9 E10 N/C.
So, the correct option is A. 1.9 E10 N/C.
Explanation:
Effects of Mobile Phones Radiation On Bio System. Biosystem.
Answer:
The potential effects of mobile phone radiation on the biosystem, including the human body, have been a topic of research and debate for many years. Mobile phones emit non-ionizing radiation, which is different from ionizing radiation (such as X-rays) that is known to cause cellular damage and increase the risk of cancer. However, there is still concern about the effects of prolonged exposure to mobile phone radiation, especially on the brain and other sensitive organs.
Studies have shown that the radiation emitted by mobile phones can cause a slight increase in temperature in the brain and other tissues near the ear. This increase in temperature can potentially cause damage to cells and tissues, although the amount of radiation emitted by mobile phones is generally considered to be too low to cause significant harm.
There is also some evidence to suggest that mobile phone radiation can affect sleep patterns, as the radiation emitted by mobile phones can interfere with the body's natural circadian rhythm. This can potentially lead to sleep disturbances and other health problems.
Other potential effects of mobile phone radiation on the biosystem include changes in blood pressure, heart rate, and brain activity. Some studies have also suggested that mobile phone radiation may affect fertility in men by reducing sperm motility and increasing DNA damage.
While there is still much debate about the potential effects of mobile phone radiation on the biosystem, most experts agree that the risk of harm is generally low. However, it is still recommended that people take precautions to limit their exposure to mobile phone radiation, such as using hands-free devices or texting instead of making phone calls.
Explanation:
Answer:
As stated by the National Cancer Institute, "there is currently no consistent evidence that non-ionizing radiation increases cancer risk in humans. The only consistently recognized biological effect of radiofrequency radiation in humans is heating."
Explanation:
good afternoon
Help with questions in the files please
The projectile sticks to the pendulum upon impact, which then swings up to some maximum angle from vertical is 13.61°.
How to calculate the valueGiven, mass of cylindrical blade M = 7kg, radius R = 0.45 m and Length L = 4 m
mass of projectile m = 1.3 kg and its velocity v = 3.75 m/s
distance d = 3 m.
The projectile sticks to the pendulum upon impact, which then swings up to some maximum angle from vertical:
9.14J = (m + M) × gh
1 - cosx = 0.028
x = 13.61°
Thw moment of inertia of the pendulum, with the projectile stuck to it is 33.21 Kgm².
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A group of students were given a balloon, two aluminum soda cans, two Styrofoam cups, and some scotch tape and were told to design an investigation that would demonstrate the distribution of charge by induction. The students charged the balloon positively by rubbing it against a wool sweater. The balloon was then brought into contact with the first soda can (P).
After the cans P and Q are separated, will the balloon be attracted to or repelled by can Q? Why?
A
The balloon will not be attracted to or repelled by can Q because can Q will have no net charge after the cans are separated.
B
The balloon will be repelled by the soda can labelled Q after they are separated because the can labelled Q will be positively charged.
C
The balloon will be attracted to the soda can labelled Q after they are separated because both soda cans will be negatively charged.
D
The balloon will not be attracted to or repelled by can Q because when the balloon is placed in contact with either can no charge is induced on the surface of the cans.
After the cans P and Q are separated, The balloon will be repelled by the soda can labeled Q after they are separated because the can labeled Q will be positively charged.
How to get the situation of the balloonLets assume that the soda cans (P and Q) are initially neutral and in contact.
When the +ve is brough close to there would be the distribution of charge. The -ve charges that are in P would then be attracted to the area that is closer to ballon. The positives would be repeled. They would be farther
P will then have the net negative on area that faces balloon and Q with the net positive on area facing P
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If all of the resistors in the diagram below are equivalent, what is the voltage
across the resistor R2 in the circuit below?
The voltage across the resistor R2 in the circuit is 2.5 V.
The voltage across the circuit, V = 5 V
The value of resistance in the resistors = 1 Ω
The resistors R₂ and R₃ are connected in series. So, their effective resistance,
R = R₂ + R₃
R = 1 + 1
R = 2 Ω
The effective resistance of R₂ and R₃ and the resistor R₁ are connected in series. So. their effective resistance,
R' = RR₁/(R + R₁)
R' = 1 x 1/(1 + 1)
R' = 0.5 Ω
The current flowing through the circuit,
I = V/R'
I = 5/0.5
I = 2.5 A
The voltage across the resistor R₂,
V₂ = I/R₂
V₂ = 2.5/1
V₂ = 2.5 V
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SOMEONE HELP ASAP: Match the definitions
Answer:
ncident - a ray of light striking surface
focal point - location where parallel rays meet
principal axis - a line passing thru center of surface
focal length - distance between center of convex lens or mirror
normal - line perpendicular to surface
convex - lens or mirror curving outward
refracted - changed direction after passing from one medium
concave - lens or mirror curving inward
reflected - bounced off of a surface
Which example represents a class 2 lever? (1 point)
O salad tongs picking up salad
O tweezers plucking hairs
O a car door being opened and shut
a screwdriver opening a paint can
The example that represents a class 2 lever is: D. a screwdriver opening a paint can.
Which example represents a class 2 lever?The load is situated in a class 2 lever halfway between the fulcrum and the effort. The screwdriver's resting place against the paint can's rim serves as the fulcrum in this scenario.
The paint can's lid serves as the load, and the force exerted by the hand on the screwdriver's handle serves as the effort. A class 2 lever can be identified by the load being situated between the fulcrum and the effort.
Tweezers, salad tongs, and opening and closing a car door are not examples of class 2 levers. Class 1 levers include things like tweezers and salad tongs, whereas class 3 levers include things like car doors that open and close.
Therefore the correct option is D.
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Which is missing square?
Need reason, how comes to get the answer. Thank you
The missing square in the given sequence is a large dot without circle.
option C.
What is a sequence?A sequence refers to an ordered collection of objects, typically numbers or other mathematical entities, arranged in a specific order according to a well-defined rule. Each object in the sequence is called a term or an element of the sequence.
In the given sequence, we can notice that it alternates between two circles and a circle.
From the first sequence, it has 2 circles and large dot, the second has one circle and a dot.
The third sequence has a small circle and a larger dot, so the next sequence will have no circle and a large dot.
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Which of the following statements describes a way that simple machines make work easier?
reduce the size of the input force needed to perform a task
change the direction of the input force
reduce the amount of energy needed to perform a task
All of the statements describe ways that simple machines make work easier, but the statement that best describes a way that simple machines make work easier is: "reduce the size of the input force needed to perform a task."
Simple machines such as levers, pulleys, and inclined planes, allow us to apply a smaller input force over a greater distance to produce a larger output force over a shorter distance. This allows us to move heavy objects with less force or effort.
Changing the direction of the input force, as with a pulley, does not reduce the amount of force needed to perform a task but can help to change the direction of the force to a more convenient or useful direction. Similarly, simple machines do not reduce the amount of energy needed to perform a task, but they can make it easier for us to apply that energy or force.
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An ostrich left its nest 77 seconds after a rainstorm and is now running at 3.2meterspersecond to the west. At this velocity, how much time will it take the ostrich to run 240meters?
Answer:
75 seconds
Explanation:
distance = speed x time
Rearranging the formula to solve for time:
time = distance / speed
time = 240 m / 3.2 m/s
time = 75 s
TRANSFORMATION OF STRESS
y: 60 MPa
t: 20 MPa
x: -40 MPa
Calculate the principal stresses and maximum shearing stress and corresponding normal stress. Based on your answer, construct the Mohr's circle. Then, determine the stress component if the given element is rotated counter clockwise 10⁰
The stress component if the give elemen is rotated counter clockwise 10⁰ is σx' = -35.82 MPa, σy' = 41.18 MPa, and τx'y' =
-21.53 MPa.
Obtaining the stress componentApplying equations for the stress invariants:
σ1 + σ2 + σ3 = y + t + x = 60 MPa + 20 MPa - 40 MPa = 40 MPa
σ1σ2 + σ1σ3 + σ2σ3 = ytx = 60 MPa × 20 MPa × (-40 MPa) = -48,000 MPa²
λ³ - (σ1 + σ2 + σ3)λ² + (σ1σ2 + σ1σ3 + σ2σ3)λ - σ1σ2σ3 = 0
λ³ - 40λ² - 48,000λ + 480,000
= 0
Solving for the roots using a numerical method, we get:
λ1 = 75.5 MPa
λ2 = -12.5 MPa
λ3 = -23 MPa
To find the maximum shearing stress, we can use the equation:
τmax = (λ1 - λ3) / 2
Substituting the values we obtained, we get:
τmax = (75.5 MPa - (-23 MPa)) / 2
= 49.25 MPa
The corresponding normal stress for the maximum shearing stress is:
σn = (λ1 + λ3) / 2
= (75.5 MPa + (-23 MPa)) / 2
= 26.25 M
applying the transformation equations:
σx' = σx cos²θ + σy sin²θ + 2τxy cosθ sinθ
τx'y'
= (σy - σx) / 2 sin2θ + τxy cos2θ
Substituting the given values and θ = 10⁰, we get:
σx' = -35.82 MPa
σy' = 41.18 MPa
τx'y' = -21.53 MPa
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Two very large parallel metal plates, separated by 0.20 m, have a potential difference of 12V. An electron is released from rest at a location a distance d from the negative plate.
(a) Describe the motion of the electron after its release in as much detail as possible.
(b) At what distance from the positive plate, will the electron have a speed of 1 x 10^6 m/s?
Given that two large parallel plates are separated by 0.20 m and that the potential difference is 12V.
(a) Describe the motion of an electron released from rest at a distance "d" from the negative plate.
(b) What distance from the positive plate will the electron have a speed of 1 x 10^6 m/s?
For part (a):
The magnitude of an electric field can be given as [tex]||\vec E||=\frac{\Delta V}{d}[/tex], where "ΔV" is the potential difference and "d" is the distance between the plates.
So, [tex]||\vec E||=\frac{12 \ V}{0.20 \ m} \Longrightarrow \boxed{||\vec E||=60 \ \frac{N}{C} }[/tex]
An electric field is created between the plates pointing from positive towards negative. We know that negative charges accelerate opposite the direction of electrical fields. So the electron placed "d" meters away from the negative plate will accelerate towards the positive plate at a constant rate.
For part (b):
We know that...
- the charge of an electron is [tex]\bold{-1.602 \times10^{-19} \ C}[/tex].
- the mass of an electron is [tex]\bold{9.11 \times10^{-31} \ kg}[/tex].
- [tex]\vec F_e=q\vec E[/tex]
- [tex]\vec F =m\vec a[/tex]
[tex]\Longrightarrow \vec F_e=(-1.602 \times10^{-19} \ C)(60 \ \frac{N}{C} }) \Longrightarrow \boxed{\vec F_e= -9.612 \times10^{-18} \ N}[/tex]
[tex]\Longrightarrow \vec F =m\vec a \Longrightarrow \vec a=\frac{\vec F}{m} \Longrightarrow \vec a=\frac{-9.612 \times10^{-18}}{9.11 \times10^{-31} \ kg} \Longrightarrow \boxed{\vec a=-1.06 \times10^{13} \ m/s^2}[/tex]
Kinematic Equation: [tex]\vec v_f^2=\vec v_0^2+2\vec a \Delta \vec x[/tex]
[tex]\Longrightarrow 1 \times10^{12} \ m^2/s^2=-2.11 \times10^{13} \ m/s^2 \Delta \vec x \Longrightarrow \Delta \vec x= \frac{1 \times10^{12} \ m^2/s^2}{-2.12 1\times10^{13} \ m/s^2}[/tex]
[tex]\Longrightarrow \boxed{\Delta \vec x= -0.047 \ m}[/tex]
The distance from the positive plate we'll call, "D."
[tex]D=0.20+\Delta \vec x[/tex]
[tex]\Longrightarrow D=0.20+\Delta \vec x \Longrightarrow D=0.20 \ m+(-0.047 \ m) \Longrightarrow \boxed{D=0.153 \ m} \therefore Sol.[/tex]
What is the magnitude of the electric force on charge A
in (Figure 1)?
According to the question by Coulomb's Law the final value of the equation is 0.00 N .
What is Coulomb's Law?Coulomb's Law is a fundamental law of physics that states the magnitude of the electrostatic force between two point charges is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them. In equation form, the law states F = k * (q1 * q2)/r², where F is the magnitude of the force, k is a constant, q1 and q2 are the magnitudes of the two charges, and r is the distance between the two charges.
Note that by Coulomb's Law,
F = kq1q2/r²
where
k = 8.99E9 Nm²/kg²
q1, q2 = the two interacting charges
r = the distance of separation of the two charges
Thus, for force of B on A points to the right, as opposite charges attract.
qA = 1.0E-9 C
qB = -1.0E-9 C
r = 0.01 m
Thus,
F(B on A) = 8.99E-5 N
Now, for force of C on A points to the left, as like charges repel.
Thus, as
qA = 1.0E-9 C
qC = 4.0E-9 C
r = 0.02 m
F(C on A) = -8.99E-5 N [the negative sign because it is to the left]
Thus,
Fnet (A) = F(B on A) + F(C on A)
Fnet (A) = 0.00 N
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An ideal gas held at constant pressure has its temperature changed by a factor of 1.52x. By what factor does its volume increase or decrease?
The volume increases or decreases by a factor of 1.52x.
According to Charles's Law, for an ideal gas held at constant pressure, the volume is directly proportional to the absolute temperature. Therefore, if the temperature of the gas is changed by a factor of 1.52x, the volume will also change by the same factor.
So, the factor by which the volume increases or decreases is 1.52x. If the temperature increases, the volume will increase, and if the temperature decreases, the volume will decrease.
This relationship is expressed mathematically as:
V1/T1 = V2/T2
where V1 and T1 are the initial volume and temperature, and V2 and T2 are the final volume and temperature, respectively.
Since the pressure is constant, we can rearrange the equation to solve for the final volume:
V2 = (T2/T1) * V1
Given that the temperature changes by a factor of 1.52x, we can substitute T2 = 1.52xT1 into the above equation to get:
V2 = (1.52xT1/T1) * V1
V2 = 1.52x * V1
As a result, the volume rises or falls by 1.52x.
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What is the kinetic energy of 0.01 kg bullet traveling at a velocity of 700 m/s
Answer:
2450J
Explanation:
Acc to eq
K.E= 1/2mv^2
By putting values we get
K.E = 1/2(0.01kg)(700)^2
we get the answer:
2450J (joules?)
what most influenced transcendentalism way of thinking
Answer:
Transcendentalism was greatly influenced by various philosophical and religious ideas, including:
German Idealism: Transcendentalism was heavily influenced by the works of German philosophers such as Immanuel Kant and Friedrich Schelling, who stressed the importance of the individual and the power of the human mind to comprehend the world.
Romanticism: Transcendentalists also drew on the ideas of the Romantic movement, which emphasized the importance of emotion, intuition, and imagination in the human experience.
American Romanticism: Transcendentalism was a product of the American Romantic movement, which rejected the materialism and commercialism of American society in the 19th century and sought to elevate the individual, nature, and spiritual experience.
Eastern philosophy and religion: Transcendentalists were influenced by the teachings of Hinduism and Buddhism, particularly the concept of transcendence, which emphasizes the individual's ability to transcend the limitations of the material world and connect with a higher spiritual reality.
Overall, transcendentalism was shaped by a diverse range of ideas and thinkers, reflecting its emphasis on individualism, intuition, and spiritual experience.
5KJ changes to 3.2 KJ what is the definition
A decrease in energy from 5 KJ to 3.2 KJ, or a loss of 1.8 KJ, indicates that the system has lost energy. This might happen for a number of reasons, such as energy being transferred to another system or changing forms.
"5KJ changes to 3.2 KJ" refers to. However, assuming that the question is asking about a change in energy from 5 KJ to 3.2 KJ, this would mean that there has been a decrease in energy of 1.8 KJ.
Energy is described in physics as the capacity to perform work and can take on a variety of shapes, including kinetic energy, potential energy, thermal energy, etc. After the British physicist James Prescott Joule, the unit of energy is called a joule (J). 1000 joules make up one kilojoule (KJ).
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Suppose a 12kg of bicycle was traveling at a speed of 20m/s . Now , this mass transfers all its energy to a mass of 20kg . What will be the velocity of the 15kg mass after being hit by it?
The final velocity of the object after hitting another object is 7.5 m/s is obtained by the law of conservation of momentum.
The law of conservation of momentum states that the momentum remains constant before and after collisions. When the two bodies collide with each other, the momentum doesn't change. Thus, the momentum can neither be created nor destroyed.
From the given,
m₁(mass) = 12kg
m₂(mass) = 20 kg
The initial velocity of object-1 (u₁) = 20 m/s
The initial velocity of object-2 (u₂) = 0 m/s
The final velocity of mass 15 kg (v) = ?
Law of conservation of momentum
(m₁×u₁) + (m₂×u₂) = (m₁ + m₂) v
(12×20) + (20×0) = (12 + 20) v
240 = 32 v
v = 240 / 32
= 7.5 m/s
The final velocity v= 7.5 m/s.
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7. What do the following scientists study:
a. Geologists -
b. Zoologists -
c. Anthropologists -
d. Botanists -
e. Chemists -
f. Physicists -
on line papper
These scientists are known to study different aspects of science. The study they engage are;
What do scientists studya. Geologists - study the physical structure and composition of the Earth, including rocks, minerals, and natural resources.
b. Zoologists - study animals, their behavior, physiology, evolution, and distribution.
c. Anthropologists - study human societies, cultures, and behavior across time and space.
d. Botanists - study plants, their physiology, structure, ecology, and evolution.
e. Chemists - study the composition, properties, and behavior of matter and the chemical changes it undergoes.
f. Physicists - study the fundamental principles that govern the behavior of matter and energy in the universe, including mechanics, thermodynamics, electromagnetism, quantum mechanics, and relativity.
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The drag force on a sphere of radius 2 cm that falls through a fluid with speed 10 cm/s is 8 N. What is the drag force on a sphere of radius 4 cm that falls through the same fluid with a speed of 5 cm/s?
Answer:
0.10 N
Explanation:
The drag force can be expressed using the following formula:
F = 1/2 * rho * A * Cd * v^2
Let's calculate the cross-sectional area of the sphere:
A1 = pi * r1^2
A1 = pi * (0.02 m)^2
A1 = 0.00126 m^2
Converting the speed to meters per second:
v1 = 0.1 m/s
Now we can use the formula to solve for the density times the drag coefficient:
rho * Cd = 2 * F / (A1 * v1^2)
rho * Cd = 2 * 8 N / (0.00126 m^2 * (0.1 m/s)^2)
rho * Cd ≈ 1.592 kg/m
For the second sphere with a radius of 4 cm and a speed of 5 cm/s, we can calculate the cross-sectional area and the speed in the same way:
A2 = pi * r2^2
A2 = pi * (0.04 m)^2
A2 = 0.00502 m^2
v2 = 0.05 m/s
Using the same value of the density times the drag coefficient:
F2 = 1/2 * rho * Cd * A2 * v2^2
F2 = 1/2 * (1.592 kg/m) * 0.00502 m^2 * (0.05 m/s)^2
F2 ≈ 0.10 N
If a student were to measure the ball's speed at each position above, at which position would
the ball be traveling the fastest?
A
B
C
D
Answer:
The ball would be traveling fastest at point (C).
Point (D) appears to be the same height as point (C) but the ball would probably have lost some speed on rebounding,
Using a social marketing strategy, design a persuasive message to promote any health behavior of your choice
What requires more or less work? The stairs or a ramp?
For example a dog goes up a stair and one dog goes up a ramp
Which dog requires more work or less work or even equal work to go up the ramp and stairs
The power I understand the ramp requires more power then the stairs since you can run up it more faster then the stairs.
Putting that in mind does this mean the ramp and stairs are equal in work? Or more
In dogs whose excessive staircase use you want to stop or slow down rather than for young, lively dogs who use stairs frequently, a ramp's single-sloped, modest incline would be more helpful.
The word "incline" means what exactly?To forward-bend the head or body: bow. : to incline, gravitate, or get pulled to an opinion or behaviour.
What is an inclined position?adj. 1 postpositive; frequently followed by: having a tendency; disposition. 2 inclining or sloping. A plane that has an inclined angle to a horizontal that is below a straight angle.
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A ray of light is pointed at the surface of a block of diamond at an angle of 48.0° with respect to the normal (a line perpendicular to the surface at the spot where the ray hits the block). A fraction of the light is reflected and the rest refracted. What is the angle (in degrees) between the reflected and refracted rays?
The angle between the reflected and refracted rays is the same as the angle of incidence, which is 48.0°. This is because of the law of reflection.
What is reflection ?Reflection is the process of actively and critically considering an experience or event in order to gain a deeper understanding of it. Reflection can be a powerful tool for personal growth and development, helping us to take control of our lives and make positive changes. Reflection involves analyzing and interpreting our thoughts and feelings about an experience, and can be done through writing, talking, or thinking. It is a way of exploring our beliefs, values, and assumptions, and is often used to explore our emotions, behaviours, and relationships.
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An iron nail is driven into a block of ice by a single blow of a hammer. The hammerhead has a mass of 0.5 kg and an initial speed of 1.9 m/s. Nail and hammer are at rest after the blow. How much ice melts? Assume the temperature of both the ice and the nail is 0◦C before and after. The heat of fusion of ice is 80 cal/g. Answer in units of g.
what is speed sound travelling in the soil ?
The speed of sound traveling in the soil depends on the type of soil.
Speed of sound in the soilThe speed of sound traveling through soil can vary depending on the composition and density of the soil.
In general, sound travels slower through soil than through air, with typical speeds ranging from around 1000 to 4000 meters per second.
The speed of sound in the soil has been researched to have important implications for seismic surveys, which use sound waves to map underground geological structures and identify potential sources of natural resources like oil and gas.
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A meterstick (L = 1 m) has a mass of m = 0.227 kg. Initially it hangs from two short strings: one at the 25 cm mark and one at the 75 cm mark.
1)What is the tension in the left string?
2)Now the right string is cut! What is the initial angular acceleration of the meterstick about its pivot point? (You may assume the rod pivots about the left string, and the string remains vertical)
3)What is the tension in the left string right after the right string is cut?
4)After the right string is cut, the meterstick swings down to where it is vertical for an instant before it swings back up in the other direction.
What is the angular speed when the meterstick is vertical?
5)What is the acceleration of the center of mass of the meterstick when it is vertical?
6)What is the tension in the string when the meterstick is vertical?
The weight of the meterstick (mg) and the tension forces in the strings (T_L and T_R) are the forces pulling on the meterstick. The net force acting on the meterstick is 0 since it is at rest.
1)What is the tension in the left string?[tex]T_L * 0.25 m = m * g * 0.5 m\\T_L = m * g * 0.5 m / 0.25 m = 4 * m * g = 8.88 N[/tex]
Now the right string is cut! What is the initial angular acceleration of the meterstick about its pivot point? (You may assume the rod pivots about the left string, and the string remains vertical)The only force operating on the meterstick once the appropriate string has been severed is its weight. The weight's torque about the pivot point is
τ = -mg * 0.25 m
where the clockwise direction of the torque is indicated by the negative sign. We may determine by using the rotational equivalent of Newton's second law, = I, where I is the meterstick's moment of inertia and is its angular acceleration.
α = -mg * 0.25 m / (1/3 * m * L^2) = -3g/L = -29.4 rad/s^2
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