The correct answer is 4 numbers of angles to measure to map out the position of a sky object at any particular time.
What is Degrees (°) are the units used by astronomers?
Degrees (°) are the units used by astronomers to measure the "angular distance" between celestial objects. There are 90 degrees between any point on the horizon and the highest top of the sky because a circle has 360 degrees.
So we can conclude there are 4 number of angles as 90 arc minute in sky object.
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if (c/sec), what is the current in milliamps when a static charge of 0.30 μc moves from your finger to a metal doorknob in 2 milliseconds ?
The required current in milliamps when charge and time are given is calculated to be 0.15 milliamps.
Current is known to be defined as rate of flow of charge.
If q is the charge represented in coulombs, t is in seconds, then i is represented in ampere.
Mathematically, i = q/t
Here, static charge q is given as 0.3 μc = 0.3 × 10⁻⁶ c
Time t is given as 2 milliseconds = 2 × 10⁻³ s
Now, let us find the current in milliamps.
i = q/t
Current i = (0.3 × 10⁻⁶)/(2 × 10⁻³) = 0.15 × 10⁻³ A = 0.15 milliamps
Thus, the current is calculated to be 0.15 milliamps.
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a thin lens of focal length 35 cm forms a real image 6.1 times as high as the object. how far apart are the object and image? answer in units of cm. answer in units of cm.
Object and image are 0 cm far apart .
The thin lens equation for an object distance "d_o" and image distance "d_i" with focal length "f" is:
1/d_o + 1/d_i = 1/f
The height of the image is given as 6.1 times the height of the object, so the magnification "m" is:
m = -d_i / d_o = h_i / h_o = 6.1
Rearranging the magnification equation, we have:
d_i = -m * d_o
Substituting the thin lens equation into the magnification equation:
d_i = -m / (1/d_o + 1/f)
Substituting the known values:
d_i = -6.1 / (1/d_o + 1/35)
Solving for d_o, we find:
d_o = (35 * 6.1) / (6.1 - 1) = 210 cm
The distance between the object and image is:
d = d_i - d_o = 210 - 210 = 0 cm
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what happens to the resistance of a resistor made in the form of a rectangular block when all three of its dimensions are reduced to a third of their initial values?
After reducing the dimensions, the new resistance of the rectangular block will be three times of the initial value.
Let us assume that initially dimensional conditions of the rectangular blocks are like this,
B is breadth,
L is length,
H is the height,
p is the resistivity.
Now, the resistance will be given by,
R = pL/(BxH)
Now, when the dimension are reduced to a third of the initial values, we get new resistance,
R' = (pL/3)/(BxH/9)
R' = 3pL/(BxH)
Putting R = pL/(BxH),
R' = 3R
So, the new resistance will be three times of the initial value.
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You leave your house and drive to your friend's house, where you stay a while. Then you come back home. Which of the following must be true of your trip?a. Your instantaneous velocity was never zero.b. Your average velocity was zero.c. Your acceleration was constant.d. Your net displacement was not zero.e. Your average speed was zero.
Your average velocity was zero, thus choice (b) will be accurate.
Let x be the separation between my home and my friend's home. I leave my home and travel to my friend's home, where I spend some time. I then return home after that. My initial position and final position are identical, hence there is no displacement.
However, the following determines how far my car travels: d = 2x.
Let t represent the whole amount of time it takes me to travel from home to home. My instantaneous velocity will be zero at my friend's place because I spent some time there. The average velocity will be given by: Because the total displacement is zero, the average velocity will be:
[tex]V_{avg} = \frac{8}{t}=0[/tex]
The acceleration changed as I traveled and stayed at a friend's house; it was never continuous. My average speed as I covered a distance of d=2x is shown by: [tex]v^{'}_{avg} = \frac{d}{t} = \frac{2x}{t}[/tex]
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calculate the size (in t) of the magnetic field 23 m below a high voltage power line. the line carries 350 mw at a voltage of 350,000 v.
The size of the magnetic field is 24T.
The magnetic field (B) produced by a high voltage power line can be calculated using the formula:
B = μ x I / 2 x π x r
where:
μ is the magnetic constant (4π x 10⁻⁷ T m/A)
I is the current in the power line
r is the distance from the power line
To calculate the current (I), we first need to calculate the power (P) of the power line using the formula:
P = V² /R
V is the voltage of the power line
R is the resistance of the power line
Since the resistance (R) of the power line is not given, we can use the formula:
P = I² x R
to calculate the resistance (R) in terms of the current (I) and the power (P). Substituting this formula into the formula for power (P), we get:
R = P / I²
Substituting the given values, we get:
R = 350 x 10⁶ W / (I²)
I = √(350 x 10⁶ W / R)
P = 350 x 10⁶ W
V = 350 x 10³ V
A magnetic field is a field that surrounds a magnet or a moving charged particle, and produces a force that can affect other magnets or charged particles within the field. The magnetic field is a vector field and can be represented by the direction and magnitude of the field lines. The strength of a magnetic field can be measured in units of tesla (T).
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I dry ice ublimating and becoming a ga and a puddle freezing into ice on a clod night both invlove chemical bod breaking
This is true because the process of dry ice sublimating and the puddle freezing both involve chemical bonds breaking.
In the case of dry ice (solid CO2), the sublimation process occurs when the CO2 molecules absorb enough energy to break the bonds holding them together in a solid state. This energy is supplied by the surrounding air, causing the CO2 to transition directly from a solid to a gas.
In the case of the puddle freezing, the water molecules lose energy and slow down, allowing hydrogen bonds to form between the molecules. As more and more bonds form, the liquid transitions to a solid (ice). The breaking of hydrogen bonds in the liquid and the formation of new bonds in the solid are chemical processes that represent a breaking and forming of chemical bonds.
"
Complete and correct question
I dry ice sublimating and becoming a ga and a puddle freezing into ice on a clod night both involve chemical bond breaking
True or false
"
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Let's say that the total energy of the skater is 100 J. b. If the kinetic energy as the skater skates down the ramp is 35 J, how much potential energy does the skater have?
The skater’s kinetic energy is at it’s highest at the bottom of the ramp, as none of it has been used it.
At the bottom of the ramp, how much kinetic energy does the skater have?Because none of the skater’s kinetic energy has been spent, it is at its peak at the bottom of the ramp. The skater was using potential energy to go to the bottom of the ramp. At the bottom of the ramp, the skater’s potential energy is drained and transferred to kinetic energy.
Based on the basic equation for kinetic energy, Ek=12mv2, which directly employs mass (m) and velocity (v), the kinetic energy of a projectile (expressed in foot-pounds) is calculated as E=(W*V2)/(14000*gc).
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An electron travels here at a uniform velocity of 1. 3 x 10^5 m/s. How much time is required for a displacement of 1. 00 m?
the time required for a displacement of 1.00 m for an electron traveling at a uniform velocity of 1.3 x [tex]10^{5}[/tex] m/s is approximately 7.69 x [tex]10^{-7}[/tex]seconds.
To find the time required for a displacement of 1.00 m, we can use the formula:
time = displacement ÷ velocity
Substituting the values, we have:
time = 1.00 m ÷ 1.3 x [tex]10^{5}[/tex] m/s
time = 7.69 x [tex]10^{-7}[/tex] seconds
this calculation demonstrates the extremely short time scales involved in the motion of electrons, which can move extremely quickly due to their small size and mass.
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vessel at rest explodes, breaking into three pieces. two pieces, having equal mass, fly off perpendicular to one another with the same speed of 30 m/s. the third piece has three times the mass of each other piece. calculate the magnitude of its velocity immediately after the explosion.
The magnitude of its velocity immediately after the explosion is A) 102√135°.
After an explosion, the momentum of the original vessel must be conserved. If we consider the x and y components separately, the x and y components of the momentum of the two equal mass pieces are equal and opposite, so they cancel each other out.
The momentum of the third piece must equal the total initial momentum, so its velocity can be calculated using the equation for momentum: mv = m1v1 + m2v2 + m3v3.
Since the two equal mass pieces have the same velocity, the magnitude of the velocity of the third piece is √(30^2 + 30^2) = 102√, and it will be at an angle of 135° from the x-axis.
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The complete question is attached below.
An armadillo i looking for food at night and find a new object in it environment. Which tatement decribe how the armadillo would mot likely ue it ene to take in information about the new object to determine if the new object i food?
The armadillo would likely use its senses of sight, smell, and touch to investigate the new object.
It would use its vision to look at the object and size it up. It might use its sense of smell to see if it can detect the scent of food. It would also use its sense of touch to feel the object and determine if it is edible.
If it feels soft and pliable, it might be food, if it is hard and unyielding, it could be a rock. The armadillo would also use its experience and memory to determine if the object is food or not. If the shape and texture of the object is similar to something the armadillo has eaten in the past, it is more likely to investigate it further and try to eat it.
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The gravitational force between two object with identical mae that are 10 m apart, i 2. 67 x10-10 N. To the nearet kg, what i the ma of each object?
G= Univeral Gravitational Contant = 667x10" N-m'
Each object has a mass of approximately 2 x 10^-4 kg, or 20 grams, to the nearest kilogram.
The force of gravity between two objects is given by the equation:
F = G * (m1 * m2) / d^2
where F is the force of gravity, G is the gravitational constant (6.67 x 10^-11 N(m/kg)^2), m1 and m2 are the masses of the two objects, and d is the distance between them.
Gravity is a force of attraction between two masses. It is the force that keeps planets in orbit around the sun and determines the motion of objects on the surface of the earth. Gravity is one of the four fundamental forces of nature, and it was first described by Sir Isaac Newton in his laws of motion.
The strength of the gravitational force between two objects depends on the masses of the objects and the distance between them.
Given that the force of gravity between two objects that are 10 meters apart and have the same mass is 2.67 x 10^-10 N, we can solve for the mass of each object.
m1 = m2 = sqrt(F * d^2 / G) = sqrt(2.67 x 10^-10 N * (10 m)^2 / 6.67 x 10^-11 N(m/kg)^2) = sqrt(4 x 10^-8 kg^2) = 2 x 10^-4 kg
Therefore, each object has a mass of approximately 2 x 10^-4 kg, or 20 grams, to the nearest kilogram.
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an ocean buoy is 2.0 m tall. at a certain time of day the shadow of the buoy is 1.0m long. what possible length(s) will the shadow be 2 hours later? the time from sunrise to sunset is 15 hours.
2 hours later the shadow will be 2.2 m long given that the time from sunrise to sunset is 15 hours.
If the time from sunrise to sunset is 15 hours, then the shadow of the buoy will be 2.0m long in 2 hours, since the shadow length increases at a rate of 1/15th of the buoy's height per hour.
To show the calculations, we can use the formula:
Shadow Length = 2.0m + (2 hours * (2.0m/15 hours))
Therefore, the shadow length in 2 hours will be 2.0m + (2 * (2.0/15)) = 2.2m
Assuming that the sun's position remains the same, the shadow of the ocean boy will be 2.2 m long 2 hours later. This is because the sun's position change throughout the day, so the shadow will not remain the same length for a given time. However, if the time from sunrise to sunset is 15 hours, then the shadow of the ocean boy will be 2.2 m long 2 hours later. This is because the sun's position moves across the sky throughout the day, so the shadow of the object will be shorter as the day progresses.
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In a Little Sticks hockey game at the community ice rink, a 0.102 kg hockey puck moving at 26.4 m/s is caught and held by a 40.9 kg goalie who is at rest. With what speed (in cm/s) does the goalie slide on the ice after the catch?
Answer:
Approximately [tex]6.57\; {\rm cm \cdot s^{-1}}[/tex].
Explanation:
When an object of mass [tex]m[/tex] travels at a velocity of [tex]v[/tex], the momentum [tex]p[/tex] of that object would be [tex]p = m\, v[/tex].
Before the catch:
Velocity of the hockey puck: [tex]26.4\; {\rm m\cdot s^{-1}}[/tex]. Mass of the hockey puck: [tex]0.102\; {\rm kg}[/tex]. Momentum of the hockey would be [tex](26.4\; {\rm m\cdot s^{-1}})\, (0.102\; {\rm kg}) = 2.6928\; {\rm kg\cdot m\cdot s^{-1}}[/tex].Velocity of the goalie: [tex]0\; {\rm m\cdot s^{-1}}[/tex]. Momentum of the goalie would be [tex]0\; {\rm kg\cdot m\cdot s^{-1}}[/tex].Therefore, the total momentum of the hockey and the goalie before the catch was:
[tex]2.6928\; {\rm kg\cdot m\cdot s^{-1}} + 0\; {\rm kg \cdot m\cdot s^{-1}} = 2.6928\; {\rm kg\cdot m\cdot s^{-1}}[/tex]
The goalie and the hockey move at the same velocity after the catch. Let [tex]v[/tex] denote that velocity. The total momentum of them would be:
[tex]\begin{aligned}& m(\text{goalie})\, v + m(\text{hockey})\, v \\ =\; & (m(\text{goalie})+ m(\text{hockey}))\, v \end{aligned}[/tex].
Assume that momentum is conserved during the catch. Hence:
[tex]\begin{aligned}& (m(\text{goalie})+ m(\text{hockey}))\, v \\ &= (\text{momentum after catch}) \\ &= (\text{momentum before catch}) \\ &= 2.9628\; {\rm kg \cdot m\cdot s^{-1}}\end{aligned}[/tex].
Rearrange the equation to find [tex]v[/tex], the velocity of the goalie and the hockey after the catch:
[tex]\begin{aligned}v &= \frac{2.9628\; {\rm kg \cdot m\cdot s^{-1}}}{m(\text{goalie})+ m(\text{hockey})} \\ &= \frac{2.9628\; {\rm kg \cdot m\cdot s^{-1}}}{0.102\; {\rm kg} + 40.9\; {\rm kg}} \\ &\approx 0.0657\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
Apply unit conversion:
[tex]\begin{aligned}v &\approx 0.0657\; {\rm m\cdot s^{-1}} = 6.57\; {\rm cm\cdot s^{-1}}\end{aligned}[/tex].
an insulating rod is positively charged, and an electrically neutral conducting sphere is mounted on an insulating stand. the rod is brought near to the sphere on the left, but they never actually touch. which image that best represents the resulting charge distribution on the conducting sphere?
The image that best represents the resulting charge distribution on the conducting sphere is one where the rod is held close to the left side of the sphere on the stand, causing the left side of the sphere to become positively charged.
The rest of the sphere will remain neutral since the rod is not close enough to touch it. The positive charge on the left side of the sphere will cause the electrons in the material of the sphere to move away from it, leaving an area of positive charge on the left side. On the right side of the sphere, the electrons will remain in place, resulting in a neutral charge.
The image is provided below
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masahisa s ball is on a minurature golf gree,. 3m west of the hole. unfortunately, masahisa hits the ball the wrong direction, 18 degrees south of east. the ball travels 5m then hits the curb on the edge of the green and rolls north for 2.5m before stoppping. find the balls final position relative to the hole
Masahisa's ball is 5.5 meters west and 2.5 meters north of the hole, assuming the curb on the edge of the green was at 0 degrees south of east.
This is a common mistake made by many golfers, as the direction of the shot is not always in line with the intended target. It's important to take the time to focus on your shot before hitting the ball, as this can drastically improve your accuracy and performance.
Additionally, understanding the terrain of the course and the obstacles it presents is key to successful golfing. Knowing the slope, speed of the green, and any other hazards, can help you plan your shots more accurately and ultimately result in a better score.
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what would be the final velocity of an object falling 1.25 meters from rest, just as it strikes the ground
The final velocity of an object falling 1.25 meters from rest, just as it strikes the ground is 4.95[tex]\frac{m}{s}[/tex].
The position of an object as a function of time at any point in time can be used to explain an object's motion. The equations describing the motion, which relate the initial and current velocities, acceleration, and displacement of the object, can be obtained in the form that excludes time in the case of uniformly accelerated motion. One example of a uniformly accelerated motion is free fall.
The following relationship exists between an object's velocity and its distance travelled:
Here
[tex]v^{2} -u^{2} =2as[/tex]
The object's starting velocity is u
and final velocity is
Object acceleration is given by the symbol a;
The acceleration in free fall is the acceleration brought on by gravity:
a=g=9.8[tex]\frac{m}{s^{2} }[/tex]
Initial velocity is 0 since the item started at rest;
When we solve for the final velocity, we get:
v = [tex]\sqrt{2as}[/tex]
Calculating, we obtain:
v = [tex]\sqrt{2\times9.8\times1.25}[/tex]
v=4.95[tex]\frac{m}{s}[/tex]
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if the radius is 54 meters and the velocity is 54 km/h what is θ
The angle θ is 22.5° when the radius is 54 meters and the velocity is 54 km/h.
Given the radius (r) = 54m
The velocity (v) = 54km/h x 5/18 = 15m/s
Let the angle at tangent in a circular path = θ
We know that from tangent of circle tan θ= v^2/rg where g is the gravity = 10m/s^2
Here since the body moves along circular path as radius is given centripetal force acts on it. A force that causes a body to follow a curved path is known as a centripetal force. Any force that changes the direction of motion toward the center of a circular motion is known as a centripetal force.
tanθ = 15 x 15/ 54 x 10 = 0.416
θ = tan-(0.416)
θ = 22.5
Hence, the angle of tangent = 22.5°
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the nearpoint of an eye is 62 cm. a corrective lens is to be used to allow this eye to clearly focus on objects 25 cm in front of it. what should be the focal length of this lens?
The focal length of the corrective lens needed to allow the eye to clearly focus on objects that are 25 cm in front of it would be +5.00D.
That is, the corrective lens would have a power of +5.00 diopters. The nearpoint distance of 62 cm refers to the farthest object that can be seen clearly, which is usually around 25 m.
The focal length of the corrective lens needed to allow the eye to clearly focus on objects that are 25 cm in front of it is calculated by dividing the object distance by the refractive power of the lens. For a +5.00D lens, this calculation is 25 cm/ +5.00D = 5 cm, which is the focal length of the corrective lens.
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(e) chapter 5 - problem 32. under what conditions, if any, will the trajectory of a charged particle not follow a field line?
a charged particle's trajectory won't resemble a field line:
The charged particle's trajectory will veer away from the field line if it is subjected to additional forces, such as a magnetic field or an electric field from another source.
The trajectory of a charged particle will alter and diverge from the field line if it collides with another particle.
Field lines illustrate the hypothetical path taken by a positive test charge in the presence of an electric field. The charged particle will follow the field lines if the conditions are such that it is only exposed to the portion of the electric field indicated by the field lines.The charged particle may encounter additional forces in real-world situations, which could cause it to diverge from the field lines in its trajectory.
For instance, a charged particle will move more crookedly than directly when a magnetic field is present. Additionally, if the charged particle collides with another particle, the trajectory will alter as a result of the momentum that is transferred, and the charged particle will stop following the field line.
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What will be the value of coefficient of volume thermal expanion β for a olid
for which coefficient of linear thermal expanion α ha value of 4 × 10-5K
-1?
The volume of the material would change by 0.00012%.
What is material?Material is anything that has physical existence and can be perceived by one or more of the five senses. It is anything that has mass and occupies space. Examples of materials include wood, metal, plastic, paper, fabric, glass, stone, water, air, and living organisms.
The coefficient of volume thermal expansion (β) is related to the coefficient of linear thermal expansion (α) by the equation β = 3α. Therefore, the value of β for the given material would be 3(4 × 10-5K-1) = 0.00012K-1.
This means that for every degree Kelvin of temperature change, the volume of the material would change by 0.00012%.
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1. Derive the formula for the theta (0) angle in degrees from the arc distance on the film. 2.How will you use the "d" values you determined to identify the phase with the reference text and indices? You will need to be specific. 3. What does 3.56x and 2.478 signify? 4. Explain the different geometries (2) of a diffractometer? Where is the sample, source, and detector? 5. What is the radiation source in the Miniflex instrument? What is the detector? 6. Discuss 3 different X-ray radiation detectors. Do no include film. 7. Can different phases in a mixture be analyzed quantitatively? How?
By dividing the arc length by the circle's circumference and multiplying the result by 360 degrees, one can calculate the angle of an arc.
(1) Arc Length = θ × (π/180) × r, where r is the radius and L is the length of an arc. θ = The arc's central angle.
(2) Each plane has a specific d-spacing. This is the separation between two successive, parallel atomic planes. Active and neutral wires are included in a single phase. At the switchboard, the neutral wire is attached to the earth. Three active wires, often known as phases, and one neutral wire make up a three phase system.
(3) The distances of 3.56x and 2.478 represent the distances between the radiation source and detector, respectively.
(4) The density and kind of detector material, as well as the radiation energy to be measured, all influence detector efficiency. Gas-filled detectors, scintillation detectors, and semiconductor detectors are the three types of X-ray detectors used in XRF spectrometers.
(5) An instrument for examining and measuring the structure of materials is called an X-ray diffractometer, or XRD machine. X-rays are the best choice for investigating the interplanar distances in crystalline materials since they have a high energy and short wavelength compared to visible light.
(6) According to the particular requirements of the equipment, three types of detectors are most frequently employed when referring to radiation detection instruments. These three types of detectors are solid state, gas-filled, and scintillators.
(7) Using X-ray diffraction (XRD) patterns, quantitative phase analysis calculates the relative proportion of elemental elements or phases. The relative amount of a given phase in the mixture affects the intensity of that phase's diffraction lines.
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when identifying probabilities, which is the best estimate of p(-3.0
When identifying probabilities, the best estimate of p(-3.0<z<3.0) is 0.95. Because we can use the standard normal to find probabilities for a normal random variable with any mean and any standard deviation.
It is also simple to determine the likelihood that a standard normal random variable will fall between two values. The equation P(a<Z<b) = P(Z<b) - P(Z<a). For instance, let's say we're interested in the likelihood that a z-score will be both higher than -1.40 and lower than -1.20. If a random variable X has a pdf that is given by: If = 0, and = 1, we refer to it as a standard normal random variable. A random variable X is said to have a normal probability distribution with parameters and 2 if it does. We write X ∼ N(μ, σ2). for every normal random variable with mean and variance 2.
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complete question: When identifying probabilities, which is the best estimate of P(-3.0<Z<3.0) for the standard normal distribution? Use the Empirical Rule to determine your answer.
how to find deflection of a pointer in centrifugal force experiment
The deflection of a pointer in a centrifugal force experiment can be found by measuring the angle between the initial position of the pointer and its final position after rotation in a circular path.
The deflection of a pointer in a centrifugal force experiment can be determined by measuring the angle between its initial position and its final position after it has been rotated in a circular path.
This angle can then be used to calculate the magnitude of the centrifugal force that was applied to the pointer. By measuring the deflection of the pointer, scientists can gain a better understanding of the effects of centrifugal force on objects in motion.
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an increase in which of the following factors will cause an increase in the inductive reactance of a circuit? group of answer choices resistance and capacitive reactance. resistance and voltage. inductance and frequency.
The inductance and frequency will cause an increase in the inductive reactance of a circuit.
The inductive reactance (XL) in an AC circuit is increased when either the frequency of the alternating current or the inductance of the circuit is increased. Resistance, voltage, or capacitive reactance have no effect on the inductive reactance of a circuit.
Inductive reactance is directly proportional to the frequency of the current flowing through an inductor. An increase in frequency means an increase in the rate of change of current in the circuit, which results in an increase in the opposing voltage (inductive reactance) produced by the inductor.
Hence correct option is C.
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--The given question is incomplete, the complete question is:
"An increase in which of the following factors will cause an increase in the inductive reactance of a circuit? group of answer choices: A) resistance and capacitive reactance B) resistance and voltage C) inductance and frequency."--
An estimated force–time curve for a baseball struck by a bat is shown in the figure below. Let Fmax = 20 000 N, ta = 1.5 ms, and tb = 3 ms.
(a) the magnitude of the impulse delivered to the ball. (Newtons)
(b) the average force exerted on the ball. (kilo-Newtons)
Area under the F-t graph gives the impulse delivered to the ball.
Impulse J=21×18000×1.5=13500 Ns
Force exerted on the ball F= ΔtJ =1.513500=9000 N
Maximum force exerted on the ball is 20000 N
Fmax = 20000 N
ta = 1.5 ms
tb = 3 ms
Fmax = 20000 N
ta = 1.5 ms
tb = 3 ms
(a) The impulse is given by the area of force time graph.
Impulse = 0.5 (3 - 1.5) x 10-3 x 20000 = 42.75 Ns
(b) The average force is given by
Impulse =average force x time
42.75 = Average force x 1.5 x 10-3
Average force = 28500 N
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suppose you have a network of resistors with a total resistance r sub eq is equal to r sub i. if you hook up one more small resistor (compared to r sub i) in parallel with the original network, what would happen to the overall equivalent resistance?
In parallel with the original network R sub eq will increase a small amount.
What is Resistance ?Resistance is a measure of an object's opposition to the flow of electric current. In electrical circuits, it is the property of a material that resists the flow of electric charge and converts electrical energy into other forms of energy, such as heat.
Resistance is measured in ohms (Ω) and is determined by the properties of the material and its dimensions. Resistance is an important factor in the design of electrical systems, as it can affect the behavior and efficiency of the circuit. The amount of resistance in a circuit can be increased or decreased by changing the length, cross-sectional area, and composition of the material through which the current flows.
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which two factors help keep the fluid in the vascular compartment
Plasma protein and plasma colloid osmotic pressure keep the fluid in the vascular compartment.
Plasma proteins are the substances that cannot pass through the capillary wall, which develops an osmotic pressure. This pressure is called the colloid osmotic pressure. It is named to differentiate it from the osmotic pressure through the cell membrane. The concentration of proteins in the interstitial volume is 3 gm/dl and in the plasma is 7.5 gm/dl.
The protein with the maximum contribution to the colloid osmotic pressure in the plasma space is albumin with 21.8 mm Hg, which is followed by globulins (6 mm Hg), and then fibrinogen (0.2 mm Hg), giving a total colloid pressure of 28 mm Hg to move fluids inward.
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A slide loving pig slides down a certain 43° slide in three times the time it would take to slide down a frictionless 43° slide. What is the coefficient of kinetic friction between the pig and the slide?
The coefficient of kinetic friction if the loving pig slides down a certain 43° slide in three times the time it would take to slide down a frictionless 43° slide is 1.35.
What is friction ?Friction is a kind of force that opposes the force which is making a displacement of the object.
Analyze the forces on the pig of mass m. The incline angle is θ.
The +x direction is “downhill. Then apply Newton’s second law to the x- and y-axes
leads to
mgsinθ−f = ma
Solving these along result for the pig’s downhill acceleration:
a=g(sinθ−μcosθ)
To determine the time to slide from rest through a downhill distance l , we use :
l=vt+ 1/2 at² ⇒t= √3l/a
which leads us to conclude that if t/t =9a. Putting in what we found out
above about the accelerations, we
have
gsinθ=9g(sinθ−μcosθ)
Apply the angle θ = 43. We will obtain the value of μ as 1.35.
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Two students each build a piece of scientific equipment that uses a 755-mm-long metal rod. One student uses a brass rod, the other an invar rod. If the temperature increases by 9.0 ∘C, how much more does the brass rod expand than the invar rod? Express your answer with the appropriate units.
The brass rod expands 0.145 m more than the invar rod when the temperature increases by 9.0 K.
The linear expansion coefficient of brass is α_brass = 19 × 10^(-6) K^(-1) and the linear expansion coefficient of invar is α_invar = 1.2 × 10^(-6) K^(-1).
The amount that a rod expands is proportional to its length and the change in temperature, so the expansion of the brass rod is given by ΔL_brass = α_brass x L x ΔT, where L = 755 mm = 0.755 m is the initial length of the rod and ΔT = 9.0 K is the change in temperature.
The expansion of the invar rod is given by ΔL_invar = α_invar x L x ΔT.
The difference in the expansion of the two rods is ΔL_brass - ΔL_invar = (α_brass - α_invar) x L x ΔT = (19 - 1.2) × 10^(-6) K^(-1) x 0.755 m x 9.0 K = 0.145 m.
So the brass rod expands 0.145 m more than the invar rod when the temperature increases by 9.0 K.
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A 4 kg blob of putty moving at 5 m/ lam into a 2 kg blob of putty at ret. What i the peed of the two tuck-together blob immediately after colliding?
The speed of the two-blob system immediately after collision can be calculated using the conservation of momentum principle. According to this principle, the total momentum of a closed system remains constant if no external forces act on it. In this case, the initial momentum of the 4 kg blob is 4 kg x 5 m/s = 20 kg m/s and the initial momentum of the 2 kg blob is 0 (at rest).
The total initial momentum is 20 kg m/s. After the collision, the two blobs stick together and form a single 6 kg blob, so the final momentum of the system is mv, where m is the total mass of the system (6 kg) and v is the velocity of the system.
From the conservation of momentum principle, we have:
m1 x v1 + m2 x v2 = mf x v
where m1, v1 are the mass and velocity of the first blob before the collision, m2, v2 are the mass and velocity of the second blob before the collision, mf is the total mass of the system after the collision (6 kg), and v is the velocity of the system after the collision.
Substituting the values, we get:
4 kg x 5 m/s + 2 kg x 0 m/s = 6 kg x v
Solving for v, we get:
v = (4 kg x 5 m/s) / 6 kg = 1.3 m/s
So, the speed of the two-blob system immediately after collision is 1.3 m/s.
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