The distance between the two spheres is 5.06 cm.
Use Coulomb's Law, which states that the force between two charged particles is proportional to the product of their charges and inversely proportional to the square of the distance between them.
Let q1 and q2 be the charges on the two spheres, and let r be the distance between them. Then, the force between them is given by:
F = k * (q1 * q2) / r^2
where k is the Coulomb's constant, which is approximately equal to 9 x 10^9 Nm^2/C^2.
We know that the total charge on the two spheres is 95.0 μC. Therefore:
q1 + q2 = 95.0 μC
Let's assume that the two spheres are identical, so q1 = q2 = 47.5 μC.
Now, we need to find the distance between the two spheres. For this, we can use the principle of conservation of energy. When the two spheres are brought together, the electric potential energy of the system decreases, and this energy is converted into kinetic energy. At the point of closest approach, all the electric potential energy is converted into kinetic energy. Therefore:
k * (q1 * q2) / r = 1/2 * m * v^2
where m is the mass of each sphere and v is their velocity at the point of closest approach.
Since the spheres are nonconducting, they cannot be charged by contact. Therefore, we can assume that they are charged by induction, with opposite charges induced on opposite sides. This means that the force between them is attractive. Therefore, the velocity at the point of closest approach is given by:
v = sqrt(2 * k * (q1 * q2) / (m * r))
We don't know the mass of the spheres, but we can assume that it is very small compared to the other quantities. Therefore, we can neglect it in our calculations.
Substituting the values of q1, q2, k, and solving for r, we get:
r = sqrt(2 * k * q^2 / (q1 * q2))
r = sqrt(2 * 9 x 10^9 Nm^2/C^2 * (95 x 10^-6 C)^2 / (47.5 x 10^-6 C)^2)
r = 5.06 cm
Therefore, the distance between the two spheres is 5.06 cm.
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Choose the nonmetallic elements from the list. Check all that apply.
Yttrium
Oxygen
Boron
Polonium
Argon
Gallium
Carbon
Answer:
Oxygen, Argon, Carbon
edge2020
Answer:
carbon, oxygen, argon,
Explanation:
:)
One acre is equal to 43560ft².How much is it in m²?
1 ft²= 0.09290304m²
so:
43560ft²= 0.09290304m²×43560
= 4,046.8564224 m²
Answer: 4046.9m² (approx.)
Explanation:
An acre is 43560 ft², but the US has two feet, the International foot, and the (old) Survey foot. Since 1983, the answer varies by state according to which foot the State has adopted for surveying. (Previously, it was always the Survey foot).
International: 43560 ft² x (0.3048 m/ft)² = 4046.856 422 m²
Survey: 43560 ft² x (1200/3937 m)² = 4046.872 610 m²
Both round to 4046.9 m² if that’s good enough, but there is a tiny difference.
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How many degree days are accumulated in a seven day period when the average outside temperature is 30 oF? (2 Points)
A) 245
B) 149
C) 35
D) 6000
245-degree days are accumulated in a seven-day period when the average outside temperature is 30 oF.
To calculate degree days, we need to find the difference between the average outside temperature and the base temperature (usually 65 oF) for each day, and then add up those differences for the period in question.
In this case, let's assume the base temperature is 65 oF. So, for each day, we need to find the difference between 30 oF and 65 oF, which is 35 oF. Then, we add up those differences for the seven-day period:
35 + 35 + 35 + 35 + 35 + 35 + 35 = 245
Therefore, the answer is A) 245.
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245-degree days are accumulated in a seven-day period when the average outside temperature is 30 oF.
To calculate degree days, we first need to determine the base temperature, which is the temperature below which a building needs to be heated.
This value varies depending on the location and building type. For example, a common base temperature for residential buildings in the United States is 65°F.
The degree days for a given day is calculated by subtracting the base temperature from the average temperature for that day.
If the average temperature is below the base temperature, the degree days for that day are considered zero.
For the given problem, the average outside temperature is 30°F. Assuming a base temperature of 65°F, we can calculate the degree days for each of the seven days:
Day 1: 65 - 30 = 35 degree days
Day 2: 65 - 30 = 35 degree days
Day 3: 65 - 30 = 35 degree days
Day 4: 65 - 30 = 35 degree days
Day 5: 65 - 30 = 35 degree days
Day 6: 65 - 30 = 35 degree days
Day 7: 65 - 30 = 35 degree days
To find the total degree days for the seven-day period, we add the degree days for each day:
35 + 35 + 35 + 35 + 35 + 35 + 35 = 245 degree days
Therefore, the answer is A) 245.
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a wire has a length l1 and a cross sectional surface area of a1. if you double the length of this wire, and reduce its surface area to 1/3 its original value, by how much does the resistance change?
A wire has a length of l1 and a cross-sectional surface area of a1 and if we double the length of this wire, and reduce its surface area to 1/3 of its original value. The resistance change by: 6 times
The resistance change can be calculated using the formula R = ρl / a, where ρ is the resistivity of the wire, l is the length of the wire, and a is the cross-sectional area of the wire. If we double the length of the wire and reduce its surface area to 1/3 of its original value, we can find the new resistance using the same formula. Let's call the new length of the wire l2 and the new cross-sectional area a2.
So, we have:
l2 = 2l1 (double the length)
a2 = (1/3)a1 (reduce the surface area to 1/3 its original value)
Now we can calculate the new resistance:
\(R2 = ρl2 / a2\)
\(R2 = ρ(2l1) / [(1/3)a1]\)
\(R2 = 6ρl1 / a1\)
So the new resistance is 6 times the original resistance. This means that the resistance changes by a factor of 6 when the length of the wire is doubled and the surface area is reduced to 1/3 of its original value.
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2. What is the potential energy of a 3 kg ball that is on the ground?
The potential energy of a 3 kg ball that is on the ground is zero.
What is the potential energy of a ball on the ground?Zero ,It will have no kinetic energy since it is not moving, and because it is laying on the ground, it will also have no potential energy. This is equivalent to the ground's zero potential energy.energy potential = massHeight, 9.8 m/s of gravity3 kilogrammes is the size of you. I think you need to increase this by 9.8 and then convert this to grammes (3000g). Since the ball is on the ground and you are at zero height, your potential energy is also zero.A 3 kilogramme body on a planet's surface has 54 joules of potential energy.To learn more about potential energy refer to:
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what is true about a pseudoscientific
Answer:
C: it ignores parts of the method within an investigation
You have just jumped into the ocean after your boat began to sink. Luckily, you found an air tank before you jumped. Unluckily, the air tank has been used. The gauge says there is now exactly 30,000ml of air left in the tank. In a panic, you take in the full inspiratory reserve volume each time you inhale. How many times can you inspire at this panicked volume before the tank runs out?
With 30,000ml of air left in a used tank, taking in full inspiratory reserve volume with panic breaths, one can inhale around 20 times before the air runs out.
You can breathe normally 20 times until the air runs out after diving into the water, discovering a used air tank with 30,000 ml of air left, and panicking while inhaling the entire inspiratory reserve volume with each breath. The quantity of air that can be breathed more than the tidal volume is known as the inspiratory reserve volume. An adult in good health has an average inspiratory reserve capacity of about 3,000 ml.
As a result, you may take about 10 complete breaths with 30,000 ml of air still in the tank, multiplied by 3,000 ml for every breath. The inspiratory reserve capacity is expected to rise during panic breathing, leading to smaller breaths and more frequent inhalations, allowing for about 20 breaths. In a survival crisis, it's critical to maintain composure and save air.
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why do you think a compass needle always points north
A compass needle always points north due to Earth's magnetic field.
The Earth acts as a giant magnet with a magnetic north and south pole. The compass needle is a small magnet that aligns itself with the Earth's magnetic field.
The needle's north pole is attracted to the Earth's magnetic south pole, which is located near the geographic north pole. This alignment causes the needle to point in a northerly direction.
The magnetic field of the Earth provides a consistent reference point for navigation and has been utilized by humans for centuries. By following the compass needle's direction, individuals can determine their heading and navigate accurately.
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Which car part tells the velocity of a car at a given time?
A. Odometer
C. Accelerator
B. Speedometer
D. Fuel gauge
Answer:
Speedometer. It's in the name.
A student is studying the ways different elements are similar to one another. Diagrams of atoms from four different elements are shown below.
Which two atoms are of elements in the same group in the periodic table?
Answer:atom one and atom four
Explanation:
what is one limitation of using a saltwater aquarium to model the ocean?
A. It can show only a small part of the actual ocean.
B. It can show how different ocean animals interact with each other.
C. It can show how certain plants grow in the ocean.
D. It can show how light affects ocean organisms.
Using a saltwater aquarium to model the ocean has limitations, such as showing only a small part of the actual ocean and being unable to replicate the vastness and complexity of the ocean ecosystem.
Explanation:One limitation of using a saltwater aquarium to model the ocean is that it can only show a small part of the actual ocean. Since an aquarium is confined and limited in size, it cannot realistically replicate the vastness and complexity of the ocean ecosystem. For example, it may not have the space to accommodate large marine animals like whales or the turbulent currents that exist in the open ocean. Therefore, it is important to recognize that while a saltwater aquarium can provide some insights into the ocean, it cannot fully capture the dynamic nature and diverse interactions found within the entire ocean ecosystem.
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as a car skids to a stop, friction transforms kinetic energy to
Answer:
potential energy
Explanation:
Formula for conservation of internal kinetic energy (works for elastic collisions) is: ΣKEi=ΣKEf (use 1/2mv^2 for each object in the system) TRUE OR FALSE
The given statement "Formula for conservation of internal kinetic energy (works for elastic collisions) is: ΣKEi=ΣKEf (use 1/2mv² for each object in the system)" is TRUE because the initial kinetic energy of the system is equal to the final kinetic energy of the system.
What's the formula for conservation of internal kinetic energyThe formula for conservation of internal kinetic energy states that the initial kinetic energy of a system is equal to the final kinetic energy of the same system in an elastic collision.
This formula can be expressed as ΣKEi=ΣKEf, where ΣKEi is the sum of the initial kinetic energy of all objects in the system, and ΣKEf is the sum of the final kinetic energy of all objects in the system.
In this formula, the mass and velocity of each object in the system are taken into account using the formula 1/2mv² for kinetic energy.
It is important to note that this formula only works for elastic collisions, where there is no loss of kinetic energy due to friction or other forces.
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An AC non motor-generator arc welder on an individual circuit has a nameplate primary current of 100A and a duty cycle of 70%. The branch circuit conductors must be a minimum size ___ AWG THHN copper.
The minimum size of branch circuit conductors of an AC non-motor generator arc welder on an individual circuit with a nameplate primary current of 100A and a duty cycle of 70% with THHN copper wires is 3 AWG.
What is an AC non-motor generator arc welder?
AC non-motor generator arc welder refers to an arc welding machine that runs on alternating current (AC) power and is a transformer that has no motor. An AC generator is used to create electrical power. Arc welding is a welding process that uses an electric arc to melt and join metal parts together. A welding power source can be used to generate an arc between a welding electrode and the metalwork. This electrical arc creates a heat source that melts and fuses metals together.How do we calculate the minimum size of conductors for a welder?
The minimum conductor size required for a welder may be determined using NEC (National Electrical Code) tables. It is determined by calculating the full-load current and the branch-circuit overload protection of the welder. To determine the minimum conductor size for a welder, use the following steps:Identify the welder's primary current value (on the nameplate).Multiply the primary current value by the duty cycle (as a percentage).Divide the result by 0.8 (the NEC table 630.11(A) requirement) to obtain the minimum conductor size.For example, for the given nameplate primary current of 100A and duty cycle of 70%, the calculation would be:
100A x 70% = 70A
70A / 0.8 = 87.5A
The minimum conductor size required is 3 AWG copper THHN wires.
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The minimum size of the branch circuit conductors for the AC non motor-generator arc welder with a primary current of 100A and a duty cycle of 70% is 4 AWG THHN copper.
Explanation:The minimum size of the branch circuit conductors for an AC non motor-generator arc welder with a nameplate primary current of 100A and a duty cycle of 70% can be determined by using the ampacity rating for the primary current. Since the duty cycle is given as 70%, we multiply the primary current by this duty cycle to find the effective current. Therefore, the effective current is 100A * 0.70 = 70A.
To find the minimum size of the branch circuit conductors, we can refer to the American Wire Gauge (AWG) standard, which is commonly used for determining wire sizes. The effective current of 70A falls within the range of common wire sizes. In general, a 70A current can be safely carried by 4 AWG THHN copper conductors. Therefore, the minimum size of the branch circuit conductors should be 4 AWG THHN copper.
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Which of the following is an example of a primary source?
Answer:
An article written by a scientist .
Explanation:
Primary sources information are those that contain first hand information probably from the place of the activities or by the original contact of the information (source ) .
So primary information is normally contained in artifact , journals , letter , dissertations manuscripts , videos and audio recordings .
The fact that the article is written by the scientist means he is the one who has the original information hence he is the first person to access the information , meaning he is the original owner .
Which of the following best explains what creates this convection current?
options:
The rotation of Earth makes the air above it rotate, but not the same over land and water.
Because of its mass, Earth's gravity creates a high pressure area over both the land and water.
Salt in the ocean makes it more dense than the land, so its gravity pulls more on the air above it.
During the evening, the land cools off more quickly than the water. The cooler land cools the air above it, while the warmer water warms the air above it. These differences in air temperature create the convection.
Answer:
During the evening, the land cools off more quickly than the water. The cooler land cools the air above it, while the warmer water warms the air above it. These differences in air temperature create the convection.
Explanation:
sorry I took forever
An object is launched horizontally at a velocity of 19 m/s from the top of a building. It falls vertically a distance of 24m before it reaches the ground. How long does this projectile travel before reaching the ground?
Answer:
2.2 s
Explanation:
His vertical initial velocity u =0
vertical displacement h = 24 m .
vertical acceleration g = 9.8 m /s²
h = ut + 1/2 gt²
24 = 1/2 x 9.8 x t²
t = 2.2 s .
Time of fall = 2.2 s
How does the force work
Answer:
A force is a push or a pull.
Explanation:
Example: A boy is pushing a box. He has to push the box to go forward or pull it to go backwards.
Hope this helped
What is another term for weak solutions?
A.
supersaturated solutions
B.
concentrated solutions
C.
dilute solutions
D.
saturated solutions
Answer:
c
Explanation:
diluted means weakened
Another term for weak solutions is dilute solution. Thus, the correct option for this question is C.
What is a weak solution?A weak solution may be defined as a type of solution that significantly partially dissociates into its ions in an aqueous solution or water. In contrast, a strong solution fully dissociates into its ions in water.
The concentration of the weak solution is found to be lower as compared to the strong solution. The word dilute also symbolizes the presence of less concentration in any solution.
The main difference between weak and strong solutions is true that for strong solutions we are given a Brownian motion on a given probability space whereas for weak solutions we are free to choose the Brownian motion and the probability space.
Therefore, another term for weak solutions is dilute solution. Thus, the correct option for this question is C.
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A stomp rocket takes 2.8 seconds to reach its maximum height (g = -9.8 m/s?).Part A:What was the total time in the air?Part B:What was the final landing velocity?
The o-h bond energy in water is approximately 467 kj mol^-1. The photon with just enough energy to break one o-h bond has a wavelength (in nm) of?
The frequency ()of photons to break the O-H bond is 1.1704 ✕ 1015 Hz.
Here, it is given that
The bond energy of O-H per mole=E =467 kJ/mol
Convert the unit of bond energy from kJ to J by using a conversion factor:
1kJ =1000 J
467 kJ/mol = 467 ✕ 103 J /mol
Determine the bond energy for 1 molecule of water (H2O) as:
E = Bond energy per mole / Avogadro’s number (NA)
E = (467 ✕ 103 ) / (6.022 ✕ 1023 )
= 77.55 ✕ 10-20 J
Thereby, the energy required to break 1 molecule of H2O is 77.55 ✕ 10-20 J
Now, determine the frequency in Hz by using a relation:
E=h
Where ‘’ is the frequency of the photon and ‘h’ is the Planck’s constant whose value is 6.626 ✕ 10-34 J/s.
Putting all the values we get,
(77.55 ✕ 10-20 J) = (6.626 ✕ 10-34 J/s) ✕
= (77.55 ✕ 10-20 J) / (6.626 ✕ 10-34 J/s)
= 11.704 ✕ 1014 s-1
= 1.1704 ✕ 1015 s-1
So, =1.1704 ✕ 1015 Hz
Therefore, the frequency ()of photons to break the O-H bond is 1.1704 ✕ 1015 Hz.
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An iron skillet has a mass of 500.0 grams. The specific heat of iron is .449 j/g • C*. How much heat must be absorbed to raise the skillets temperature by .95*C
Answer:
sorry
Explanation:
An accelerator accelerates helium nuclei (charge = 2 e ) to a speed of v = 2. 09 × 10 6 m/s. What is the current if the linear density of helium nuclei is 9. 53 × 10 7 m-1?
To calculate the current, we need to find the number of helium nuclei passing through a given point per unit time. The linear density of helium nuclei (denoted by λ) is given as 9.53 × 10^7 m^(-1), which represents the number of nuclei per meter.
Since the helium nuclei are accelerated to a speed of 2.09 × 10^6 m/s, each nucleus takes a time of Δt = 1/v to pass through a given point. Therefore, the number of nuclei passing through that point per unit time is λv.
The charge of each helium nucleus is 2e, where e is the elementary charge. Thus, the total charge passing through the point per unit time is given by Q = 2e × λv.
Finally, the current (I) is defined as the rate of flow of charge, so we can write I = Q/Δt = 2e × λv / (1/v) = 2eλv^2.
Plugging in the given values, we get I = 2 × (1.6 × 10^(-19) C) × (9.53 × 10^7 m^(-1)) × (2.09 × 10^6 m/s)^2 ≈ 4.00 A.
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paper craft wall hanging how is it ?
Answer:
Nice
Explanation:
Find the resultant of two forces of 4.0N and 6.0N acting at an angle of 160° to each other.
\(\star\sf \overrightarrow{A}=4N\)
\(\star\sf\overrightarrow{B}=6N\)
Angle=160\(\boxed{\sf R=\sqrt{A^2+B^2+2ABcos\theta}}\)
\(\\ \sf\longmapsto R=\sqrt{4^2+6^2+2(4)(6)cos160}\)
\(\\ \sf\longmapsto R=\sqrt{16+36+48(-0.93)}\)
\(\\ \sf\longmapsto R=\sqrt{52-44.6}\)
\(\\ \sf\longmapsto R=\sqrt{7.4}\)
\(\\ \sf\longmapsto R=2.7N\)
Introduction This section describes the principles and concepts related to the experiment. It is used to help the person reading your report to understand the information that serves as foundation for the experiment. It also includes a brief statement about the purpose of the lab. Example: Surface tension is the attractive force exerted upon the surface molecules of a liquid by the molecules beneath. Water has a high surface tension because there are strong attractive forces between water molecules. Adding surfactants, like soap, can reduce the surface tension of a liquid. The purpose of the experiment was to determine the effect of soap on the surface tension of water.
Answer:
See explanation
Explanation:
It is a common observation that when water drops on a clean glass surface, it appears as little bags of water.
Surface tension makes water surface act like a stretched elastic skin bag.
Surface tension is caused by attractive forces between the molecules at the surface and the molecules in the bulk of a liquid. Remember that the forces of cohesion between water molecules are very strong.
When surfactants such as soap are added to water, the surface tension of water is decreased, hence the experiment.
Explain the difference between the Bohr model and the electron cloud model.
The main difference between the Bohr model and the electron cloud model is explained as, in Bohr's model, orbital paths around the nucleus are treated as discrete electron energy levels but the electron cloud model is a group of electrons circulating around a nucleus or a molecule. Usually refers to the valence electrons.
Some physical quantities can only have discrete values according to quantum theory, Niels Bohr proposed a hypothesis for the hydrogen atom in 1913 i.e. Only in their predefined orbits do electrons move around a nucleus, if they deviate, the energy difference is released as radiation.Erwin Schrodinger, an Austrian physicist, created the electron cloud model in 1926. It was made up of an electron cloud with many different orbital levels surrounding a dense nucleus i.e. negative electrons circle the positive nucleus at fixed distances from the nucleus.According to Erwin Schrodinger, electrons move in waves, making it impossible to accurately determine where they are at any given time. To determine the probability of an electron existing in a specific place, he created an equation.To know more about Bohr model
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When a p.D of 150 qpplied to the plates of a parallel plate. The plate carry a surface charge density of 30nc/cm^2 what is the spacing bettwen the plates
Answer:
d = 4.425 x 10⁻⁶ m = 4.425 μm
Explanation:
The charge on plates can be given as:
\(q = \sigma A=CV\\where,\\\\C = Capacitance\ of\ parallel\ plate\ capacitor = \frac{\epsilon_oA}{d}\\\\therefore,\\\\\sigma A=(\frac{\epsilon_oA}{d})V\\\\d = (\frac{\epsilon_o}{\sigma})V\)
where,
d = spacing between plates = ?
ε₀ = Permitivity of free space = 8.85 x 10⁻¹² C²/Nm²
σ = surface charge density = (30 nC/cm²)(10⁻⁹ C/1 nC)(1 cm²/10⁻⁴ m²)
σ = 3 x 10⁻⁴ C/m²
V = Potential Difference = 150 V
Therefore,
\(d = \frac{(8.85\ x\ 10^{-12}\ C^2/Nm^2)}{3\ x\ 10^{-4}\ C/m^2}(150\ V)\\\)
d = 4.425 x 10⁻⁶ m = 4.425 μm
what type of lever is your foot
Answer:
wdym
Explanation:
A compound is formed when a sulfur atom and six fluorine atoms share electrons. What is the name of the compound? A. sulfur (I) fluoride B. sulfurous fluoride C. sulfuric heptafluoride D. sulfur hexafluoride
Answer:
D. Sulfur hexafluoride.
Explanation: