(a)The rms current in the circuit is 22.1 mA.
(b)The phase angle between the current and the voltage is -59.3°.
To solve this problem, we can use the following equations:
Impedance of the circuit (Z) = √(R^2 + (1/(ωC))^2)
where R is the resistance, C is the capacitance, and ω is the angular frequency (2πf)
Current in the circuit (I) = Vrms / Z
where Vrms is the rms voltage
Phase angle (ϕ) = arctan(-1/(ωRC))
where R and C are the resistance and capacitance of the circuit, and ω is the angular frequency
(a) First, we need to calculate the impedance of the circuit:
Z = √(R^2 + (1/(ωC))^2)
= √((3.50 kΩ)^2 + (1/(2π(55.0 Hz)(3.00 μF)))^2)
= 6.12 kΩ
Next, we can find the current in the circuit:
I = Vrms / Z
= 135 V / 6.12 kΩ
= 22.1 mA (rms)
The rms current in the circuit is 22.1 mA.
(b) To find the phase angle, we need to calculate the product ωRC:
ωRC = 2πfRC
= 2π(55.0 Hz)(3.50 kΩ)(3.00 μF)
= 0.650
Then, we can find the phase angle:
ϕ = arctan(-1/(ωRC))
= arctan(-1/(0.650))
= -59.3°
The phase angle between the current and the voltage is -59.3°.
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A crane and box are both initially at rest. At time t=0s, the crane begins to drive forward at a constant speed of 0. 5ms, while also lifting the box with an upward acceleration of 1ms2. The box does not swing while being lifted by the crane.
(c) Assume that, at t=0 s, the horizontal position of the box is x=0 and it has a vertical position of y=0. Derive an equation that describes the vertical position y of the box as a function of the horizontal position x of the box.
(d) Does your equation from part (c) agree with your sketch in part (b)? Justify your response
The equation that describes the vertical position y of the box as a function of the horizontal position x of the box is y = 1/2 x^2 + 0.5xt.
A crane and box are both initially at rest. At time t=0s, the crane begins to drive forward at a constant speed of 0. 5ms, while also lifting the box with an upward acceleration of 1ms2.
This equation agrees with the sketch in part (b) because it shows that the vertical position of the box increases as the horizontal position increases, as shown in the sketch. This equation also shows that the vertical position of the box increases with time at a rate of 1 m/s^2, which is the value used for the upward acceleration of the box.
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PLEASE, PLEASE ANSWER ASAP!! I'm going to ask again, PLEASE someone answer!!!! What are 3 types of forces acting on your marshmallow (or other flying object) while it is in the air? PLEASE HELP!!
I am not entirely sure but I think it is:
Gravitation / Weight ForceDrag forceLift forceA waitress lifts an apple pie 5 meters from the ground floor to the second floor of the restaurant. If the pie is 0.30 kg, what is the Ep gained by the pie? *
The potential energy gained by the pie on lifting 5 meters from the ground floor to the second floor of the restaurant is 14.7 J.
What is potential energy?Potential energy is a form of stored energy that is dependent on the relationship between different system components.
Potential energy is a characteristic of systems rather than of particular bodies or particles; for instance, the system made up of Earth and the elevated ball has more potential energy as they become further apart.
Given that mass of the apple pie: m = 0.30kg
The waitress lifts an apple pie: h = 5m
Acceleration due to gravity: g = 9.8m/s^2
Hence, potential energy gained by the pie: Ep = m•g•h
= 0.30kg x 9.8m/s^2 x 5m
= 14.7 J
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To find the correction factor for situation where four or more current carrying conductors are bundled together, consult Table _____.
To find the correction factor for a situation where four or more current carrying conductors are bundled together, consult Table 310.15(B)(3)(a) in the National Electrical Code (NEC).
This table provides adjustment factors for ambient temperature, conductor size, and number of conductors in a raceway or cable. The correction factor is used to adjust the ampacity of the conductors to account for the increased heat generated by the bundled conductors.
To find the correction factor for a situation where four or more current-carrying conductors are bundled together, consult Table 310.15(B)(3)(a).
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Which of the following pairs of elements is most likely to form an ionic bond?
A. carbon and chlorine
B. phosphorus and bromine
C. sulfur and oxygen
D. aluminum and nitrogen
Answer: the answer is D. Aluminum and nitrogen
Explanation:
what seems to control the assembly and disassembly of intermediate filaments?
The assembly and disassembly of IFs are regulated by a variety of factors, including phosphorylation, subunit availability, pH, and ionic strength.
Intermediate filaments (IFs) are components of the cytoskeleton that control a variety of biological processes. IFs are typically less dynamic than microtubules and actin filaments, and they appear to be more stable. The assembly and disassembly of intermediate filaments are regulated by phosphorylation-dephosphorylation mechanisms.
The assembly and disassembly of intermediate filaments are controlled by a variety of factors. One of the primary determinants of IF dynamics is phosphorylation. Phosphorylation of specific residues on the IF proteins affects both the ability of the protein to form filaments and its stability once it has formed a filament.
In some cases, the presence of free subunits can promote filament formation, while in others, the formation of complexes between subunits can inhibit filament assembly. Changes in pH or ionic strength can also affect the assembly and disassembly of IFs.Intermediate filaments (IFs) are cytoskeletal structures that are typically more stable than microtubules or actin filaments.
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Read the sentences below, and indicate which accurately describe the effects of Earth's rotation and the angle of the Sun. Select all that apply. View Available Hint(s) Select all that apply. The tilt of Earth and the latitude of a city affect the degree and amount of direct sunlight that the location receives at the winter solstice. From the spring equinox until the fall equinox, the Sun shines continually at the North Pole (for 6 months). However, temperatures during this time never get very warm due to the high angle of the Sun striking Earth at the poles. The circumference of Earth at the equator is 24,900 miles. Based on this, a person at the equator is rotating 1040 miles per hour. (Round to the nearest tens digit.) You see the Sun directly overhead in Anchorage, Alaska, at 60° N on the summer solstice. This indicates that Earth is tilted at a 50° angle.
Answer:
A. The tilt of Earth and the latitude of a city affect the degree and amount of direct sunlight that the location receives at the winter solstice.
B. temperatures during this time never get very warm due to the high angle of the Sun striking Earth at the poles.
Explanation:
Tilting of earth is responsible for the presence of seasons on the planet earth. if there is no tilting occurs, no seasons will be formed. This tilting change the climate of the different areas. Due to tilting of earth, winter season occurs in different regions of the earth because direct sunlight is not coming on that tilted part. The poles are very cold because direct sunlight does not received by the poles while the equator receives direct sunlight so it get very warm.
A man stands in front of a vertical plane mirror which is fixed on a
wall as shown in the diagram below. The image formed by the
mirror is also shown.
The man looks at the image of his feet.
a. Complete the ray diagram to show how the man is able to see the
image of his feet in the mirror.
b. What is the purpose of the normal line in the diagram?
c. State which angle does x represent.
d. What's the type and direction of the image formed by the mirror?
Answer:
a) ray horizontal and ray leaves his feet
b) The normal line respect to which the angles are measured,
c) The angle x is the reflected angle
d) virtual image, right image
Explanation:
a) To complete the rays, you must draw a horizontal ray at the height of the man's head, this ray touches the mirror perpendicularly, therefore it bounces in the same direction.
The other ray leaves his feet and touches the mirror at one point, it is reflected with the same angle, by the law of reflection and reaches the eyes of man, the brain creates an extension of this ray and at the point of the floor creates the image point.
b) The normal line is a line perpendicular to the surface with respect to which the angles are measured,
c) The angle x is the reflected angle, which is equal to the incident angle according to the law of reflection
d) The image is formed by the prolongation of the rays of light, therefore it is a virtual image and as it has the same direction of the man it is a right image
What is an ellipse?
an elliptical shape
a perfectly round circle
an undefined shape
Answer: In geometry, an ellipse is a two-dimensional shape, that is defined along its axes. An ellipse is formed when a cone is intersected by a plane at an angle with respect to its base.
Explanation:
If the energy input to an electric motor is 560J/s and 170J/s of energy is transferred to thermal energy when in use, calculate its efficiency.
If the energy input to an electric motor is 560J/s and 170J/s of energy is transferred to thermal energy when in use, the efficiency of the motor would be
What is thermal energy?It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.
As given in the problem If the energy input to an electric motor is 560J/s and 170J/s of energy is transferred to thermal energy when in use,
Useful energy = electrical energy - thermal energy lost
=560 J/s - 170 J/s
= 390 J/s
the efficiency of the motor = useful energy /electrical energy ×100
= 390/560 ×100
=69.64%
Thus, the efficiency of the motor would be 69.64%.
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suppose you have a 120-kg wooden crate resting on a wood floor, with coefficient of static friction 0.500 between these wood surfaces. (a) what maximum force can you exert horizontally on the crate without moving it? (b) if you continue to exert this force once the crate starts to slip, what will its acceleration then be? the coefficient of sliding friction is known to be 0.300 for this situation
The most force are you able to exert horizontally on the crate with out transferring it is 588.6 N. Its acceleration then might be 2.943 m/s^2.
a) The maximum pressure you could exert horizontally at the crate without shifting it's far identical:
\(F_{smax\) = \(\mu_s\) x M x g
when μs is the static friction and M i she mass g is the gravitational force by substituted:
\(F_{smax\) = 0.5 x 120Kg x 9.81 m/s2
= 588.6 N
when F= \(F_{smax\)
b) Fsmax is the force pushing the block , and there is a force of friction trying to stop the block .
So \(F_k\) = \(\mu_k\) x N
when \(F_k\) = force of kinetic friction
\(\mu_k\) = coefficient of kinetic friction of wood
N= Normal force by substitution:
\(F_k\)= 0.2 x 120k x 9.81 m/s^2 = 235.44 N
so F = \(F_{smax\) - \(F_k\)
588.6 - 235.44 = 353.16 N
when F = m*a
so 353.16 = 120Kg x a
so a ( the acceleration) = 353.16/120kg
= 2.943 m/s^2
Acceleration is a measure of how much an object's velocity changes over a certain period of time. It is defined as the rate of change of velocity, or the change in velocity divided by the time interval during which the change occurred. If an object's speed is increasing, it is said to be accelerating, while if its speed is decreasing, it is said to be decelerating (or accelerating in the opposite direction).
Acceleration is often represented by the symbol "a" and is measured in meters per second squared (m/s²). The SI unit for acceleration is the meter per second squared (m/s²), which represents the change in speed of an object that occurs over a period of one second.
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A cross-country skier moves 36 meters eastward, then 44
meters westward, and finally 22 meters eastward.
For this motion, what is the distance moved?
Tap button at left to enter
Distance = 102
answer using our built-in
number pad.
What is the magnitude and direction of the
displacement?
Magnitude =
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answer using our built-in
number pad
Dir'n =
(Tap field to change.)
Check Answers
Answer:
a) 102 meters
b) 14 meters
c) The direction is eastward.
Explanation:
Distance is said to be the length between two points. It is a scalar quantity.
a) The distance moved = 36 + 44 + 22
= 102 meters
b) Displacement is the distance moved in a specified direction.
Representing the distance moved with specific direction as a directed number, 36 meters eastward = +36, 44 meters westward = -44, and 22 meters eastward = +22
/Displacement/ = +36 -44 +22
= +58-44
= 14
The magnitude of the displacement is 14 meters.
c) The direction is eastward.
So that the magnitude of displacement and his direction is 14 meters eastward.
what is regular body in physics
Answer:
The definition of a regular shape is that all the sides are equal and all the inside angles are equal. An irregular shape doesn't have equal sides or equal angles.
Explanation:
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Why are there only two elements in the first period of the periodic table?(1 point)
because the first two elements both start with H and are grouped together
because the next elements have other things in common and they need to be arranged together
because only two electrons can fit in the first orbit around the nucleus, and each period on the table is organized by number of orbits
because each row increases in atomic mass by a specific number, so anything over five is in the second row
Answer:
because each row increases in atomic mass by a specific number, so anything over five is in the second row.
What is a cars acceleration in the direction of motion when velocity changes from 20. M/s to 60. M/s in 10. S
Answer:
Acceleration, \(a=4\ m/s^2\)
Explanation:
Given that,
Initial velocity, u = 20 m/s
Final velocity, v = 60 m/s
Time, t = 10 s
We need to find the acceleration of the car. It is equal to the change in velocity divided by time.
\(a=\dfrac{v-u}{t}\\\\a=\dfrac{60-20}{10}\\\\a=\dfrac{40}{10}\\\\a=4\ m/s^2\)
So, the acceleration of the car is \(4\ m/s^2\).
A cup of coffee with cooling constant k = -0.09 is placed in a room temperature of 18°C. If the coffee is served at 93 °C, how long will it take to reach a drinking temperature of 73 °C?
The time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.
The cooling law is given by:
$$\frac{dQ}{dt}=-k(T-T_0)$$
where Q is the heat in the object, t is the time taken, T is the temperature of the object at time t, T0 is the temperature of the environment and k is a constant known as the cooling constant.
We need to find the time it takes for the coffee to reach a drinking temperature of 73°C given that its initial temperature is 93°C.
Therefore, we need to find the time it takes for the coffee to cool down from 93°C to 73°C when placed in a room temperature of 18°C.
Let’s assume that the heat energy that is lost by the coffee is equal to the heat energy gained by the environment. We can express this as:
dQ = - dQ where dQ is the heat energy gained by the environment.
We can substitute dQ with C(T-T0) where C is the specific heat capacity of the object.
We can rearrange the equation as follows:
$$-\frac{dQ}{dt}=k(T-T_0)$$
$$-\frac{d}{dt}C(T-T_0)=k(T-T_0)$$
$$\frac{d}{dt}T=-k(T-T_0)$$
The differential equation above can be solved using separation of variables as follows:
$$\frac{d}{dt}\ln(T-T_0)=-k$$
$$\ln(T-T_0)=-kt+c_1$$
$$T-T_0=e^{-kt+c_1}$$
$$T=T_0+Ce^{-kt}$$
where C = e^(c1).
We can now use the values given to find the specific value of C which is the temperature difference when t=0, that is, the temperature difference between the initial temperature of the coffee and the room temperature.
$$T=T_0+Ce^{-kt}$$
$$73=18+C\cdot e^{-0.09t}$$
$$55=C\cdot e^{-0.09t}$$
$$C=55e^{0.09t}$$
$$T=18+55e^{0.09t}$$
We can now solve for the value of t when T=93 as follows:
$$93=18+55e^{0.09t}$$
$$e^{0.09t}=\frac{93-18}{55}$$
$$e^{0.09t}=1.3636$$
$$t=\frac{\ln(1.3636)}{0.09}$$
Using a calculator, we can find that the time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.
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Who is the inventor who developed the idea of a central power station?
The inventor who developed the idea of a central power station was Thomas Edison.
He is credited with creating the first central power station in New York City in 1882. This power station was used to provide electricity to customers in a concentrated area, and it marked the beginning of the widespread use of electricity for lighting and power.
Edison's development of the central power station system was a major step in the advancement of the electrical power industry.
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a uniform disk of radius 4.4 m and mass 5.9 kg is suspended from a pivot 2.42 m above its center of mass. The acceleration of gravity is 9.8 m/s^2 .
Find the angular frequency, for small oscillations. Answer in units of rad/s.
The angular frequency for small oscillations of the uniform disk is approximately 1.396 rad/s.
To find the angular frequency for small oscillations of a uniform disk suspended from a pivot, we can use the formula:
Angular frequency (ω) = √(g / reff),
Where:
g is the acceleration due to gravity (9.8 m/s²),
reff is the effective radius of the disk, which is the distance from the pivot to the center of mass of the disk.
In this case, the radius of the disk (r) is given as 4.4 m, and the distance from the pivot to the center of mass (h) is given as 2.42 m.
To find the effective radius (reff), we can use the Pythagorean theorem
reff = √(r² + h²).
Substituting the given values:
reff = √(4.4² + 2.42²)
= √(19.36 + 5.8564)
= √25.2164
≈ 5.021 m.
Now we can calculate the angular frequency:
ω = √(g / reff)
= √(9.8 / 5.021)
= √1.9517
= 1.396 rad/s.
Therefore, the angular frequency for small oscillations of the uniform disk is approximately 1.396 rad/s.
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In order to determine causal effects between variables, researchers must use. a. Correlational designs b. Case studies O c Experimental designs O d. All of the above
Option a; Correlational designs causal effects between variables, researchers must use.
Correlational research's objectives are to identify relationships between variables and to make it possible to predict the future based on the past. It's possible that one of two variables is a cause and the other is an effect if there is a correlation between them. But due to the correlational research methodology, it is impossible to distinguish between the two. To be safe, researchers avoid deriving causal inferences from Correlational designs. Correlational study involves monitoring two variables and looking at how they relate to one another without changing an independent variable. Correlation may not imply causation. An analysis of correlations between two or more variables is a type of research design.
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A permanent magnet cannot be used in electrical bell .Why?
Answer:
we can not use permanent magnets in radio and electric bells , because permanent magnets loose their property after some time whereas we can change the properties of electromagnet.
Can I answer my own question
Answer:
Well okay do it what's your question ?
Answer:
yes
Explanation:
How do you think an object's mass relates to its weight?
Explanation:
w = m.g
g is Gravity acceleration . on surface of Earth it's
9.8 m/s² ≈ 10 m/s²
Help
A. 12,240
B. 6,120
Answer:
A. 12,240.
Explanation:
1,530 times 8.0 = 12,240.
hope this helped :)
the hardy weinberg equation only hold true that is a population is only in equiblirum
The Hardy-Weinberg equation is a mathematical model that predicts the frequencies of alleles in a population. It is in equilibrium and not undergoing any processes such as natural selection, mutation, migration, or genetic drift.
In an ideal scenario, a population in equilibrium has no net change in allele frequencies over time, and the Hardy-Weinberg equation can be used to predict the genotype frequencies. However, if any of the evolutionary processes are operating, the population is not in equilibrium, and the Hardy-Weinberg equation does not apply.
The Hardy-Weinberg equilibrium is a principle that states that the frequency of alleles in a population will remain constant from generation to generation in the absence of certain factors. These factors include genetic mutation, gene flow, genetic drift, natural selection, and nonrandom mating.
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Which section from the article BEST explains why wavelength and frequency are dependent on each other? (A) "Amplitude And Height" (B) "Wavelength And Cycle" (C) "Frequency And Period" (D) "Speed"
The 500 pages of a book have mass of 250kg. What is the mass of each page in kg
Answer:
.5 kg per page
Explanation:
250/500= .5 kg
How many times can an array with 4,096 elements be cut into two equal pieces?
a) 8
b) 12
c) 16
d) 10
10.
An array with 4,096 elements can be cut into two equal pieces 10 times. Each time we cut the array in half, we divide the number of elements by 2. Starting with 4,096, we have:
1st cut: 4,096 / 2 = 2,048
2nd cut: 2,048 / 2 = 1,024
3rd cut: 1,024 / 2 = 512
4th cut: 512 / 2 = 256
5th cut: 256 / 2 = 128
6th cut: 128 / 2 = 64
7th cut: 64 / 2 = 32
8th cut: 32 / 2 = 16
9th cut: 16 / 2 = 8
10th cut: 8 / 2 = 4
After the 10th cut, we are left with two equal pieces of 4 elements each. Therefore, the array can be cut into two equal pieces 10 times.
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THIS IS DUE SOON AH HELP
fill in the blank
Answer:
First blank:
reflected
Second blank:
absorbed
third blank:
Transparent
fourth blank:
transmitted
fifth blank:
light
sixth blank:
optic
seventh blank:
path
eighth blank:
frequency
Explanation:
why will the coin fall into the glass when the index card is quckly pulled out?
The coin has inertia, meaning it really wants to stay in one place. If you move the card slowly, it isn't fast enough to overcome that force. If you flick it quickly, the coin stays in one place and then drops into the cup.
A 12-ohm lamp is plugged into a 90 v outlet. what is the current?
When a 12-ohm lamp is plugged into a 90 V outlet, the current flowing through the circuit can be calculated using Ohm's Law. Ohm's Law states that the current (I) is equal to the voltage (V) divided by the resistance (R). So, the current flowing through the lamp is 7.5 Amperes.
In this case, the voltage is 90 V and the resistance is 12 ohms.
Substituting these values into the formula, we get:
I = 90 V / 12 Ω = 7.5 A.
Therefore, the current flowing through the lamp is 7.5 Amperes.
This means that a rate of 7.5 Coulombs of charge flows through the lamp per second.
It is important to ensure that the lamp and the electrical circuit are designed to handle this current to prevent overheating or other safety issues.
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