The repulsive force is 2.4435 X 10 ^ -4 N between the two pith balls with charge equale to -30.5 nC and distance of 18.5 cm.
What is Coulomb's Law?
According to this law, charges repel one another and attract one another with a force that is inversely proportional to the square of the distance between them and proportional to the product of the charges.
According to Coulomb's law, the force of attraction or repulsion between two charged bodies should be directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
The image shows the calculation of force between the two pith balls using Coulomb's law.
To learn more about repulsive force from the given link
https://brainly.com/question/807785
#SPJ1
Which law of thermodynamics does each of the following scenarios violate (if any)?
A machine that can create 1000J of heat from 100J of electricity
1.
The first law of thermodynamics
2.
The second law of thermodynamics
3.
The third law of thermodynamics
4.
It is allowed
The scenario described violates option 2. the second law of thermodynamics.
The second law of thermodynamics states that in any energy transfer or transformation, the total entropy of an isolated system always increases or remains constant, but it never decreases. Entropy can be thought of as a measure of the disorder or randomness in a system.
In the given scenario, the machine is claimed to create 1000J of heat energy from only 100J of electrical energy. Heat energy is a form of random molecular motion, and the conversion of electrical energy to heat involves an increase in entropy. According to the second law, energy transfers or transformations must always lead to an overall increase in entropy.
However, in this scenario, the machine appears to violate the second law by creating a significant amount of heat energy from a relatively small amount of electrical energy. This would imply a decrease in entropy, which contradicts the fundamental principle of the second law.
In reality, no machine can achieve 100% efficiency, meaning it cannot convert all the input energy into the desired output energy without any energy losses. Some energy will always be lost as waste heat due to inefficiencies in the conversion process. This waste heat contributes to the increase in entropy.
know more about second law of thermodynamics here:
https://brainly.com/question/30600157
#SPJ8
100 POINTS AND BRAINLIEST! What were the Magdeburg Hemispheres?
Answer:
Magdeburg hemispheres are two half-spheres of equal size. Placing them together traps air between them. This air is merely trapped, and not compressed, so the pressure inside is the same as the pressure of the atmosphere outside the spheres. The spheres thus pull apart with nearly no resistance.
The Magdeburg hemispheres are a pair of large copper hemispheres, with mating rims. They were used to demonstrate the power of atmospheric pressure. When the rims were sealed with grease and the air was pumped out, the sphere contained a vacuum and could not be pulled apart by teams of horses.
The graph below shows the conservation of energy for a skydiver jumping out
of a plane and landing safely on the ground. Which energy is represented by
line C?
Answer:
Kinetic energy
Explanation:
PLEASE HELP ON QUESTION ASAP. if answer is correct i will rate you five stars a thanks and maybe even brainliest.
Alex drove for 3 hours at average speed of 60mph and for 2 hrs at 45 miles per hour. Whats his average speed for the whole journey.
also could you please show me how our working out should look like in an exam
The average speed of the whole journey is 54 mph.
To find the average speed of the entire journey, you will need to use the formula, Average speed = Total distance ÷ Total time. So, in this case, the total distance is the sum of the distances traveled at 60 mph and 45 mph, and the total time is the sum of the times taken to cover these distances. Let's calculate:Distance covered at 60 mph = 60 mph × 3 hours = 180 milesDistance covered at 45 mph = 45 mph × 2 hours = 90 milesTotal distance covered = 180 miles + 90 miles = 270 milesTotal time taken = 3 hours + 2 hours = 5 hoursTherefore, the average speed for the whole journey will be:Average speed = Total distance ÷ Total time= 270 miles ÷ 5 hours= 54 miles per hourSo, the average speed of the whole journey is 54 mph.In an exam, it is important to show all the necessary steps and calculations, as demonstrated above. It is also essential to label the units clearly, and write down the formula used. Lastly, a summary statement or answer to the question should be provided.For more questions on average speed
https://brainly.com/question/4931057
#SPJ8
Explain what resonance is and give one example of a destructive outcome of resonance. Also give one example of a non-destructive outcome of resonance. Use details to support your answer.
Answer:
resonance is when a body is made to vibrate with the frequency of another body without touching it.
Explanation:
example of destructive: soldiers matching on a bridge unanimously can make the bridge collapse.
Answer:hi
i like ears
and lemon
and poetry
Explanation:
The direction of electrical force is based on the fact that like charges will
yes
Explanation:
because hindi ko tlaga ala
Answer:
the answer is repel
Explanation:
Arial
How do Seasons Help us Predict the
Weather ?
Answer:
if its winter
Explanation:
then we know it will me cold
two forces f1=(8i+3j)N and f2=(4i+6j) are acting on 5kg object then what is the magnitude and the direction of the resultant force
what is its acceleration of x and y component
what is the magnitude of acceleration of the object
Two forces f1=(8i+3j)N and f2=(4i+6j) are acting on 5kg object then the magnitude of the resultant force is 15 N and the direction of the resultant force is approximately 36.87 degrees from the positive x-axis.
The acceleration of the object in the x-component (\(a_x\)) is 2.4 \(m/s^{2}\), and the acceleration in the y-component (\(a_y\)) is 1.8 \(m/s^{2}\).
The magnitude of the acceleration of the object is 3 \(m/s^{2}\).
To find the magnitude and direction of the resultant force, we need to add the two given forces together.
Given:
f1 = (8i + 3j) N
f2 = (4i + 6j) N
To find the resultant force (\(F_res\)), we simply add the corresponding components:
\(F_res\) = f1 + f2
= (8i + 3j) + (4i + 6j)
= (8 + 4)i + (3 + 6)j
= 12i + 9j
The magnitude of the resultant force (\(|F_res|\)) can be found using the Pythagorean theorem:
\(|F_res|\)= \(\sqrt{(12^2) + (9^2)}\)
= \(\sqrt{144 + 81}\)
= \(\sqrt{225}\)
= 15 N
So, the magnitude of the resultant force is 15 N.
To find the direction of the resultant force, we can use trigonometry. The direction can be represented by the angle θ between the positive x-axis and the resultant force vector. We can calculate θ using the inverse tangent function:
θ = arctan(9/12)
= arctan(3/4)
≈ 36.87 degrees
Therefore, the direction of the resultant force is approximately 36.87 degrees from the positive x-axis.
Now let's calculate the acceleration of the object in the x and y components. We know that force (F) is related to acceleration (a) through Newton's second law:
F = ma
For the x-component:
\(F_x\)= 12 N
m = 5 kg
Using \(F_x\)= \(ma_x\), we can solve for \(a_x\):
12 N = 5 kg * \(a_x\)
\(a_x\)= 12 N / 5 kg
\(a_x\) = 2.4 \(m/s^{2}\)
For the y-component:
\(F_y\) = 9 N
m = 5 kg
Using \(F_y\) = \(ma_y\), we can solve for \(a_y\):
9 N = 5 kg * \(a_y\)
\(a_y\) = 9 N / 5 kg
\(a_y\)= 1.8 \(m/s^{2}\)
So, the acceleration of the object in the x-component (\(a_x\)) is 2.4 \(m/s^{2}\), and the acceleration in the y-component (\(a_y\)) is 1.8 \(m/s^{2}\).
To find the magnitude of the acceleration (|a|), we can use the Pythagorean theorem:
|a| = \(\sqrt{(a_x^2) + (a_y^2)}\)
= \(\sqrt{(2.4^2) + (1.8^2}\)
= \(\sqrt{5.76 + 3.24}\)
= \(\sqrt{9}\)
= 3 \(m/s^{2}\)
Therefore, the magnitude of the acceleration of the object is 3 \(m/s^{2}\)
For more such information on: force
https://brainly.com/question/25239010
#SPJ11
report of "fan made of plastic bottle" with string
Fan made of plastic bottle is an innovative way to reuse plastic bottles and can be easily made at home. This can be done by following simple steps, and a few materials are required to make it. The fan can be created by using a plastic bottle, scissors, string, a ruler, and a marker.
First, the bottle needs to be cut into half, and the upper part needs to be cut into three equal sections, then fold each section to make a blade. With the help of a ruler and marker, make a mark on each section, then make a hole in the center of each blade. Insert a string through the holes and tie the ends of the strings. The fan is ready to use by holding the string and swinging it back and forth.
The use of plastic bottle fans can significantly reduce the number of plastic waste and provide a practical solution to avoid environmental pollution. Besides, it is easy to make, and the materials are readily available, which can be used for various occasions, such as picnics, camping, or any outdoor activities.
In conclusion, the creation of a fan made of plastic bottle with string is an excellent way to reuse plastic bottles and can be made with simple steps. This project encourages everyone to contribute to environmental protection by utilizing what is available at home and reducing the number of plastic wastes.
For more such questions on Fan, click on:
https://brainly.com/question/29220424
#SPJ8
Solubility Curve Practice Problems Worksheet 1
Directions: Find the mass of solute will dissolve in 100mL of water at the following temperatures?
150
1. KCl at 70°C =
140
2. Ce,(SO.), at 100°C=
130
120
3. NH.Cl at 90°C=
4. Which of the above three substances is most
110
100
NaNO3
soluble in water at 15°C. =
90
KNO3
Grams of solute
per 100 g H,0
80
70
60
NH3
NHACI
50
KCI
40
Naci
30
20
KCIO
10
Ce2(SO4)3
0
10 20 30 40 50 60 70 80 90 100
Temperature (°C)
According to the solubility curve, KCl is soluble in water at a rate of about 40 grammes per 100 g. Given that we have 100 mL, or 100 grammes, of water, the mass of KCl that will dissolve is similarly 40 grammes.
\(Ce_2(SO_4)_3\) is soluble in water at a rate of around 30 grammes per 100 grammes at 100 °C. \(Ce_2(SO_4)_3\) will therefore dissolve in 100 mL of water at a mass of 30 grammes.
\(NH_4Cl\) dissolves in water at a rate of around 90 grammes per 100 grammes at 90 °C. The mass of \(NH_4Cl\) that will dissolve in 100 mL of water is similarly 90 grammes.
We must ascertain the solubilities of the abovementioned chemicals at 15°C in order to ascertain which substance is most soluble at that temperature.
\(NaNO_3\) has the highest solubility at 15°C, as seen by the solubility curve. At 15°C, \(NaNO_3\) dissolves in water at a rate of about 80 grammes per 100 g.
Therefore, at 15°C, NaNO3 is the most soluble substance among the three given substances.
For more details regarding solubility, visit:
https://brainly.com/question/31493083
#SPJ6
50 POINTS ANSWEr CORRECT Explain how all the other elements heavier than iron are formed after the death of the star?
Answer:
Elements heavier than iron are formed by neutron capture processes during stellar death and supernovae.
Explanation:
Most of the elements heavier than iron are formed during the death of stars through neutron capture processes, specifically the R-Process and the S-Process. The R-Process is a rapid capture of neutrons, while the S-Process is a slow capture of neutrons. These processes either directly form elements or indirectly form them through decay processes [^1]. Elements heavier than iron are primarily made in environments with free-neutron densities in excess of a million particles per cubic centimeter [^2]. In the extreme energetic conditions of supernovae, atoms are bombarded by a very large number of neutrons, and rapid successive neutron capture, followed by beta decay, produces the heavier atoms [^5].
So, elements heavier than iron are formed by neutron capture processes during stellar death and supernovae.
[^1
A car is traveling 100 km/hr. How many hours will it take to cover a distance of 850 km?
Your answer:
.118 hours
8.5 hours
7.5 hours
23 hours
Answer:
8.5 hours
Explanation:
A body of mass 20g performs simple harmonic motion at a frequency of 10Hz. Its position is 10cm from the mean position, calculate its velocity
Mrs. Martin is holding a ball from a height of 3.2 m that has the potential energy of 23 J, calculate the mass of the ball.
Answer:
0.73kg
Explanation:
Potential gravitational energy is equal to \(Pe=mgh\), where Pe is potential gravitational energy, m is mass in kilograms, g is gravity in m/s^2 and h is height in meters.
Substitute:
\(Pe=mgh\\23=m*9.8*3.2\\23=31.36m\\0.73=m\)
solve for a in the acceleration equation
To calculate acceleration, you use the equation a =Δv/Δt, where Δv is the change in velocity, and Δt is the time it takes for the change to occur.
In physics, acceleration is the change in velocity in a given unit of time. The acceleration of an object is caused by a force acting on the object, as explained in Newton's second law. The SI unit for acceleration is meters per second squared (m/s). Acceleration is the product of the velocity (m/s) divided by the time (s). So, the resulting formula is a = v/t.
Acceleration and the most basic velocity in acceleration are how fast a car can increase its speed, while velocity looks at how fast a car travels a certain distance.
Learn more about acceleration at https://brainly.com/question/460763
#SPJ1
The following are four electrical components.
A. A component which obeys ohm's law
B. Another component which obeys ohm's law
but which has higher resistance than A
A filament lamp
C.
D. A component, other than a filament lamp,
which does not obey ohm's law.
a. For each of these components, sketch current-
voltage characteristics, plotting current on the
vertical axis, and showing both positive and
negative values. Use one set of axes for A and
B, and separate sets of axes for C and for D.
label your graphs clearly.
b.
Explain the shape of the characteristic for C
c. Name the component you have chosen for D.
For the following are four electrical components:
a. For components A and B, both of which obey Ohm's law, the current-voltage characteristics would be a straight line passing through the origin. The slope of the line for component B would be steeper than that of component A, indicating higher resistance.
b. The shape of the characteristic for component C, the filament lamp, can be explained by its construction. A filament lamp consists of a filament made of a resistive material, typically tungsten, which heats up and emits light when an electric current passes through it.
c. The component chosen for D, which does not obey Ohm's law, could be a diode. A diode is a two-terminal electronic component that allows the current to flow in only one direction.
For the following are four electrical components:
a. Sketches of current-voltage characteristics:
For components A and B, both of which obey Ohm's law, the current-voltage characteristics would be a straight line passing through the origin. The slope of the line for component B would be steeper than that of component A, indicating higher resistance.
Current (I)
^
| B
| /
| /
| /
| /
| /
| /
| /
| /
| /
|/
+------------------> Voltage (V)
Current (I)
^
| A
| /
| /
| /
| /
| /
| /
| /
| /
| /
|/
+------------------> Voltage (V)
For component C, a filament lamp, the current-voltage characteristic would be a curve that is not linear. It would exhibit a non-linear increase in current with increasing voltage. At lower voltages, the lamp would have low resistance, but as the voltage increases, the resistance of the filament also increases due to the phenomenon of thermal self-regulation. This leads to a slower increase in current at higher voltages.
For component D, a component that does not obey Ohm's law, the current-voltage characteristic could be any non-linear curve depending on the specific component chosen. Examples of components that do not obey Ohm's law include diodes and transistors.
b. The shape of the characteristic for component C, the filament lamp, can be explained by its construction. A filament lamp consists of a filament made of a resistive material, typically tungsten, which heats up and emits light when an electric current passes through it. As the voltage across the filament increases, the temperature of the filament increases as well, causing its resistance to increase. This increase in resistance results in a slower increase in current with increasing voltage, leading to the characteristic non-linear curve observed.
c. The component chosen for D, which does not obey Ohm's law, could be a diode. A diode is a two-terminal electronic component that allows the current to flow in only one direction. It exhibits a non-linear current-voltage characteristic where it conducts current only when the voltage is above a certain threshold, known as the forward voltage. Below this threshold, the diode has a high resistance and blocks current flow in the reverse direction. The characteristic curve of a diode would show negligible current flow until the forward voltage is reached, after which it exhibits a rapid increase in current with a relatively constant voltage.
For more such questions on electrical components, click on:
https://brainly.com/question/28630529
#SPJ8
Consider a double-paned window consisting of two panes of glass, each with a thickness of 0.500 cm and an area of 0.760 m2 , separated by a layer of air with a thickness of 1.65 cm . The temperature on one side of the window is 0.00 ∘C; the temperature on the other side is 23.0 ∘C. In addition, note that the thermal conductivity of glass is roughly 36 times greater than that of air. Approximate the heat transfer through this window by ignoring the glass. That is, calculate the heat flow per second through 1.65 cm of air with a temperature difference of 23.0 ∘C . (The exact result for the complete window is 24.4 J/s .)
The approximate heat transfer through 1.65 cm of air with a temperature difference of 23.0 °C is approximately 24.4 J/s.
To approximate the heat transfer through the air layer in the double-paned window, we can assume that the glass layers have a negligible impact on the heat flow. The heat transfer can be calculated using Fourier's Law of Heat Conduction, which states that the heat flow (Q) is proportional to the temperature difference (ΔT) and inversely proportional to the thickness (L) and thermal conductivity (k) of the material.
First, we need to calculate the effective thermal conductivity of the air layer due to its thickness and the thermal conductivity ratio between air and glass. Let's denote the thermal conductivity of air as k_air and the thermal conductivity of glass as k_glass. Since glass has a thermal conductivity roughly 36 times greater than air, we have k_glass = 36 * k_air.
Next, we calculate the effective thermal conductivity of the air layer as:
k_eff = (k_air * L_air) / (L_air + k_glass)
Substituting the given values, we have:
k_eff = (k_air * 0.0165 m) / (0.0165 m + 0.005 m) = 0.01309 * k_air
Now, we can calculate the heat flow per second through the air layer using the formula:
Q = (k_eff * A * ΔT) / L_air
Substituting the given values, we get:
Q = (0.01309 * k_air * 0.760 m^2 * 23.0 K) / 0.0165 m = 24.4 J/s
Therefore, the approximate heat transfer through 1.65 cm of air with a temperature difference of 23.0 °C is approximately 24.4 J/s.
For more questions on temperature, click on:
https://brainly.com/question/27944554
#SPJ8
A woman on a bicycle travels at 9 m/s relative to the ground as she passes a little boy on a tricycle going in the opposite direction. If the boy is traveling at 1 m/s relative to the ground, how fast does the boy appear to be moving relative to the woman
Answer:
Useless
Explanation:
Question
take 50 points please help me these two questions
\(\\ \rm\Rrightarrow T=2\pi\sqrt{\dfrac{l}{g}}\)
\(\\ \rm\Rrightarrow T^2=4\pi ^2\dfrac{l}{g}\)
\(\\ \rm\Rrightarrow l=\dfrac{T^2g}{4\pi^2}\)
If we solve it we get it in between 60 -80
So
Our average breath rate is 17-20
So the ratio will come near 4+
What is the relationship between unbalanced and motion?
The relationship between unbalanced forces and motion is that unbalanced forces cause motion.
When there is an unbalanced force acting on an object, it will accelerate in the direction of the net force.
The magnitude and direction of the motion are directly influenced by the magnitude and direction of the unbalanced force.
In the absence of any opposing forces, an unbalanced force will result in continuous acceleration, causing the object to move faster and faster.
This relationship is described by Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
For more such questions on , click on:
https://brainly.com/question/26083484
#SPJ11
A thin converging lens made of Crown glass (n = 1.517) is flat on one side and has a radius of curvature of +50 cm on the other side. An object is placed 45.0 cm to the left of this lens. Where is the image?
This question involves the concepts of the thin lens formula and focal length.
The image "56.25 cm" from the lens.
Image DistanceThe focal length of the lens is the half of the radius of curvature.
\(f=\frac{R}{2}\)
where,
f = focal length = ?R = radius of curvature = 50 cmTherefore,
\(f=\frac{50\ cm}{2}\\\\f = 25\ cm\)
Now, according to the thin lens formula:
\(\frac{1}{f}=\frac{1}{p}+\frac{1}{q}\\\\\)
where,
p = object distance = 45 cmq = image distance = ?Therefore.
\(\frac{1}{25\ cm}= \frac{1}{45\ cm}+\frac{1}{q}\\\\\frac{1}{q}= \frac{1}{25\ cm}-\frac{1}{45\ cm}\\\\\)
q = 56.25 cm
Learn more about thin lens formula here:
https://brainly.com/question/12213784
#SPJ1
what is impulse in physical science
Answer:
In classical mechanics, impulse (symbolized by J or Imp) is the integral of a force, F, over the time interval, t, for which it acts. Since force is a vector quantity, impulse is also a vector quantity. ... A resultant force causes acceleration and a change in the velocity of the body for as long as it acts.
The higher something is off the ground, the more
potential energy it has.
True
False
The motion of particles in solids, liquids, and gases are distinct in their behavior. Which state of matter is randomly separated with no regular arrangement and move freely at high speeds?
A. Solid
B.Liquid
C.Mixture
D.Gas
Answer:
D. Gas
Explanation:
There are only three states of matter: solid, liquid and gas. This makes choice c (Mixture) incorrect because it is not part of the group.
The particles in gas are widely separated, which means there's a lot of free space between the particles. This makes it easily compressible. The particles then move past each other, which causes no regular arrangement.
An RL circuit has L=5 H and R = 22.
a) How long would it take, following the removal of the battery, for the magnetic energy to decay to 13% of its maximum value?
b) What is the voltage across the inductor at that instant?
a) , it would take approximately 0.4638 seconds for the magnetic energy to decay to 13% of its maximum value.. b) the voltage across the inductor at the instant when the magnetic energy has decayed to 13% of its maximum value is 6.4 times the initial current in the circuit.
An RL circuit consists of a resistor (R) and an inductor (L) connected in series. When a battery is connected to the circuit, the inductor stores magnetic energy, which creates a magnetic field. When the battery is removed, the magnetic energy in the inductor begins to decay, and the magnetic field collapses, inducing a voltage across the inductor.
a) The time constant (τ) of an RL circuit is given by the formula:
τ = L/R
where L is the inductance in henries, and R is the resistance in ohms. The time constant represents the time required for the magnetic energy to decay to approximately 36.8% of its maximum value.
In this case, L = 5 H and R = 22 ohms. Therefore, the time constant of the circuit is:
τ = L/R = 5 H / 22 ohms = 0.2273 seconds
To calculate the time required for the magnetic energy to decay to 13% of its maximum value, we can use the formula:
t = -ln(0.13) * τ
where ln is the natural logarithm. Plugging in the values, we get:
t = -ln(0.13) * 0.2273 seconds
t = 0.533 seconds
Therefore, it would take approximately 0.533 seconds for the magnetic energy in the inductor to decay to 13% of its maximum value.
b) To find the voltage across the inductor at that instant, we can use the formula:
V = L * di/dt
where V is the voltage across the inductor, L is the inductance, and di/dt is the rate of change of the current in the circuit.
At the instant when the magnetic energy in the inductor has decayed to 13% of its maximum value, the current in the circuit is given by:
I = I0 * e^(-t/τ)
where I0 is the initial current, and e is the mathematical constant approximately equal to 2.71828. Plugging in the values, we get:
I = I0 * e^(-0.533/0.2273)
I = 0.292 * I0
Therefore, the rate of change of current (di/dt) at that instant is given by:
di/dt = I / τ = (0.292 * I0) / 0.2273
Now, we can calculate the voltage across the inductor:
V = L * di/dt = 5 H * (0.292 * I0 / 0.2273)
V = 6.4 * I0 volts
For more such questions on magnetic energy visit:
https://brainly.com/question/26257705
#SPJ11
A hockey puck glides across the ice at 27.7 m/s, when a player whacks it with her hockey stick, giving it an acceleration at 64.3∘ to its original direction. The acceleration lasts 50.3 ms, and the puck's displacement during this time is 1.66 m.
Find the magnitude of the puck's acceleration?
The magnitude of the puck's acceleration is 210.83 m/s².
Magnitude of the puck's acceleration
The magnitude of the puck's acceleration in the horizontal direction is calculated as follows;
s = ut + ¹/₂aₓt²
where;
s is the displacementt is time of motionaₓ is acceleration in horizontal direction1.66 = 27.7 x 0.0503 + (0.5)(0.0503)²aₓ
1.66 = 1.3933 + 1.265 x 10⁻³ aₓ
1.66 - 1.3933 = 1.265 x 10⁻³ aₓ
0.2667 = 1.265 x 10⁻³ aₓ
aₓ = 0.2667 / ( 1.265 x 10⁻³)
aₓ = 210.83 m/s²
Thus, the magnitude of the puck's acceleration is 210.83 m/s².
Learn more about acceleration here: https://brainly.com/question/605631
#SPJ1
1. Two charges are separated by a distance of 1 cm. One charge has a value of 7 micro Coulombs. The other charge has a value of 10 micro Coulombs. What is the force between them, in pounds. Make sure to include the sign of the force which will be positive if the charges repel each other and negative if they attract each other.
2. 12 gauge copper wire is normally used in house wiring. When aluminum wire is used one needs to use a smaller gauge size to obtain the same resistance, 40 ft of 12 gauge copper wire was calculated. What would the resistance be if 10 gauge aluminum wire were used?
3. A 12 V automobile battery can supply 51 amps for one hour and cost $194. What is the cost of this electricity in cents per kWh?
4. Most of the body's resistance is in its skin. When wet, salts go into ion form, and the resistance is lowered. Thus, the resistance of the skin can go from 100,000 ohms when dry to 300 ohms when wet. What is the current that would be carried through the body, in milliAmperes, if you touched a 240 V power line while dry? Currents over 10 mA are almost always deadly.
1. The force between the two charges is 1.78 × 10⁻⁵ pounds, with opposite signs indicating attraction between the charges.
2. The resistance of 10 gauge aluminum wire over a 40 ft distance would be 0.506 ohms.
3. The cost of electricity from the automobile battery is 38.6 cents per kWh.
4. The current that would be carried through the body is 0.8 mA if dry.
1. The force between two point charges can be calculated using Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them.
Using the values given, the force can be calculated as F = (k * q1 * q2) / r², where k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them. Plugging in the values, the force can be calculated as 1.78 × 10⁻⁵ pounds, with opposite signs indicating attraction between the charges.
2. The resistance of a wire is determined by its length, cross-sectional area, and resistivity. The resistivity of aluminum is higher than that of copper, so a larger cross-sectional area is required to achieve the same resistance. Using the gauge size conversion chart, 10 gauge aluminum wire has a cross-sectional area of 5.26 mm², which is approximately 83% of the cross-sectional area of 12 gauge copper wire.
Thus, the resistance of 10 gauge aluminum wire over a 40 ft distance can be calculated as R = (rho * L) / A, where rho is the resistivity of aluminum, L is the length, and A is the cross-sectional area. Plugging in the values, the resistance can be calculated as 0.506 ohms.
3. To calculate the cost of electricity per kWh, the total cost and the total amount of energy supplied must be known. Since the battery supplies 12 V and 51 A for one hour, the total energy supplied can be calculated as E = V * I * t, where V is the voltage, I is the current, and t is the time.
Plugging in the values, the total energy supplied can be calculated as 612 watt-hours (Wh). Since one kWh is equal to 1000 Wh, the total energy supplied can be converted to 0.612 kWh. Dividing the total cost by the total energy supplied gives the cost per kWh, which is 38.6 cents.
4. The current through the body can be calculated using Ohm's law, which states that current is equal to voltage divided by resistance. Using the values given, the resistance can be either 100,000 ohms or 300 ohms depending on whether the skin is dry or wet.
To learn more about electricity, here
https://brainly.com/question/27545813
#SPJ1
How does lifting electromagnet working
Explanation:
Large electrical shifting magnets have concentrated retaining strength to lift dense, ferric objects and a deep-reaching magnetization. An immensely useful materials management technique is these electromagnetic rises.
a pulley on a friction- less axle has the shape of a uniform solid disk of mass 2.50 kg and ra- dius 20.0 cm. a 1.50 kg stone is attached to a very light wire that is wrapped around the rim of the pul- ley (fig. e9.47), and the system is released from rest. (a) how far must the stone fall so that the pulley has 4.50 j of kinetic energy? (b) what percent of the total kinetic energy does the pulley have?
a)The stone fall so that the pulley has 4.50 j of kinetic energy is 0.673 m
b) Percent of the total kinetic energy does the pulley have 45.5%
Given, the mass of the pulley disk mₚ = 2.50 kg
Its radius r = 20.0 cm = 0.2 m
Its moment of inertia I = (1/2)mₚr²
I = (1/2)(2.50 kg)(0.2 m)²
I = 0.05 kgm²
Given, the kinetic energy of the pulley disk = 4.50 J
If w the angular velocity of the pulley,
(1/2)Iw² = 4.50 J
(1/2)(0.05 kgm²)w²= 4.50 J
w² = 9/0.05 rad²/s²
w² =180 rad²/s²
v² = 180(0.2)^2 m²/s²
v² = 7.2 m²/s²
Given, the mass of the stone mₛ = 1.50 kg
Its kinetic energy = (1/2)(1.50 kg)(7.2 m²/s²) = 5.4 J
Potential energy loss of the stone = (1.50 kg)(9.80 m/s²)h
(a) Therefore, from equation (1), w get
(1.50 kg)(9.80 m/s²)h = 4.5 J + 5.4 J
h = (9.9 J)/(1.50 kg)(9.80 m/s²)
h = 0.673 m
So, the. stone. mus.t fall by a distan.ce of 0.673 m.
(b) Total kinetic. energy of the. system. = 9.9 J
The kinetic energy. of the pulley = 4.50 J
The pulley’s fraction. of kinetic energy. = 4.50 J/9.9 J
= 0.455 = 45.5%
Therefore, the pulley has 45.5% of the total kinetic energy.
Learn more about kinetic energy here:
https://brainly.com/question/9349250
#SPJ4
what the meaning of Red-Shift?
Red-shift refers to the shift in the frequency or wavelength of light towards the red end of the spectrum. This phenomenon is observed when light is emitted from a source that is moving away from an observer.
In astronomy, red-shift is an important tool used to study the motion of celestial objects. The observed red-shift of light from distant galaxies indicates that they are moving away from us and the universe is expanding. This phenomenon is known as the Doppler effect and is a consequence of the relative motion between the source and the observer.
The amount of red-shift can be used to determine the velocity of the object and its distance from the observer. This information is used to estimate the size and age of the universe, as well as the distribution and motion of galaxies within it. The red-shift is also used to study other cosmic phenomena, such as the properties of supernovae and the presence of dark energy.
To learn more about Red-shift, here
https://brainly.com/question/5368237
#SPJ4