The new force of repulsion, given that their new separating distance is 5 cm, is 16×10⁴ N
How do i determine the new force?We know that Coulomb's law is written as shown below:
F = Kq₁q₂ / r²
Cross multiply
Fr² = Kq₁q₂
Kq₁q₂ => constant
F₁r₁² = F₂r₂²
Where
F₁ and F₂ are the initial and new forcer₁ and r₂ are the initial and new distance apartNow, we can shall obtain the new force between the two charge, given that their distance is 5 cm apart. This is shown below:
Initial force of repulsion (F₁) = 4.0×10⁴ NInitial distance apart (r₁) = 10 cmNew distance apart (r₂) = 5 cmNew force of repulsion (F₂) =?F₁r₁² = F₂r₂²
4.0×10⁴ × 10² = F₂ × 5²
4000000 = F₂ × 25
Divide both side by 25
F₂ = 4000000 / 25
F₂ = 16×10⁴ N
Thus, the new force of repulsion is 16×10⁴ N
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With the solar photon flux of 3*10^21 m²s¹, how large area in [m²] covered by solar panels would be necessary to produce 150 kW of power? Assume yellow light (2.1 eV) and 15% power conversion efficiency.
O a. 100
O b. 50
O c. 25
O d. 10
O e. 1000
Answer: (D) 10
can't explain brainly keeps censoring the numbers out for some reason
math
Determine if the function below is continuous.
graph of a piecewise function, with 2 pieces. The first piece is a line that starts at negative infinity and goes through point (-4,5) and ends with an open dot at (1,0). The second piece is a line that starts with a closed dot at (1,-1), goes through point (2,1) and continues to infinity.
A. not continuous at x = 1
B. not continuous at x = 0
C. not continuous at x = -1
D. continuous
The function is not continuous at x=1, so the answer is A.
At x=1, the two pieces of the function meet. The first piece ends with an open dot at (1,0), meaning that the function is not defined at $x=1$. The second piece starts with a closed dot at (1,-1), meaning that the function is defined at x=1 and takes the value -1 there.
Since the function is not defined at x=1, it cannot be continuous at that point. Therefore, the function is not continuous overall.
The voltage of a DC supply always _____________.
A. Points in opposite directions
B. Does not point in any direction
C. Points in various directions
D. Points in the same direction
The voltage of a DC supply always Points in the same direction. The correct answer is d.
A direct current (also known as DC) supply has voltage that always points in the same direction. A direct current (DC) is a form of electrical current in which the flow of electric charge is unidirectional. This means that it only moves in one direction through a circuit. DC is also known as a direct current. DC (Direct Current) keeps the flow of charge going in the same direction all the time, in contrast to AC (Alternating Current), which reverses its direction at regular intervals.
The voltage source in a DC circuit, which could be a battery or a DC power supply, is responsible for maintaining a consistent potential difference between the circuit's positive and negative terminals. The potential difference between the positive and negative terminals of the voltage source is greater at the positive terminal than it is at the negative terminal. As a direct consequence of this, electrons move from the negative terminal to the positive terminal, which results in the generation of an electric current that moves in the same direction consistently throughout the circuit.
When a load (such as a resistor, a light bulb, or any other type of electrical component) is connected to a DC voltage source, the DC voltage will drive the passage of electric charge through the load, which will either power the device or perform work that is of some benefit.
In a nutshell, the voltage coming from a DC supply always points in the same direction, which is from the negative terminal of the voltage source to the positive terminal of the voltage source. This results in a constant flow of electric current when the supply is connected to a DC circuit.
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a bird flies 3km to the west and then 4km to the south. find the resultant displacement of the bird
Answer:
We are asked to calculate for the resultant displacement.
We therefore conclude that the resultant displacement of the bird is 5 Km, 53o 5 K m , 53 o South of West.
Explanation:
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what is the statement of objectives in newton's second law using word to investigate, to plot,to compare, to measure
by changing the force and observing the impact on an object's acceleration, one can examine the link between force and acceleration.
What aims does Newton's second law of motion have?In conclusion, Newton's second law gives an explanation for how objects whose forces are out of balance behave. According to the law, when there are imbalanced forces acting on an item, the object will accelerate with an acceleration that is inversely proportional to the mass and directly proportional to the net force.
What is Newton's law supposed to achieve?The student should be able to relate the magnitudes of the various forces acting on an object to its state of motion, particularly the direction of acceleration. The pupil ought to be able to connect the net force.
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pls help in astronomy didn’t know what subject to put it under
The subject depicted in the attached image is Astronomy and Astrophysics.
Definitely younger than the SunAO main sequence starB-type starsF-type stars (some)Possibly younger than the SunF1 main sequence starG2 main sequence starMO main sequence starDefinitely older than the SunM-type stars (some)M1, 1 Msun red giantM1, 18 Msun red supergiantWhat is Astronomy?Astronomy is the scientific study of celestial objects such as stars, planets, galaxies, and other phenomena that exist outside of Earth's atmosphere.
Astronomers use a variety of methods to observe and study these objects, including telescopes, spacecraft, and computer simulations.
Astronomy is a broad field that includes many different sub-disciplines, such as astrophysics, planetary science, and cosmology.
Astronomers study the physical properties and behavior of celestial objects, such as their composition, temperature, motion, and evolution.
They also seek to understand the structure and history of the universe as a whole.
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What three factors account for challenges in the Civil Rights Movement after 1965?
lack of strong leadership
opposition to reforms in Congress
differences of opinion within rights movements
opposition from a majority of the Supreme Court
lack of public support for school desegregation policies
Answer:
differences of opinion within rights movements
opposition to reforms in Congress
lack of public support for school desegregation policies
hope this helps :) !!!
Answer:
Answer: answer A, B and C are correct
Explanation:
Answer: answer A, B and C are correct
similarities and differences between a lunar eclipse and the disappearing sun. HELP FAST
Answer: A solar eclipse results when the moon passes in between the earth and the sun hiding the sun fully or partly for some time. A lunar eclipse occurs when the earth passes in between the moon and the sun casting its shadow on the moon and thus hiding it fully or partly for some time.
How does the ecotourism industry act as an ecosystem service that benefits tourists, the people that live in the area, and the people that work in the industry?
The ecotourism industry can act as an ecosystem service that benefits tourists, local communities, the environment, and the tourism industry itself by promoting sustainable and responsible tourism practices
What is ecotourism?Benefits for tourists: Ecotourism provides a unique experience for tourists by allowing them to explore and appreciate natural environments while supporting sustainable tourism practices. Ecotourism activities also offer educational opportunities for tourists to learn about the local environment and culture.
Benefits for local communities: Ecotourism can provide economic benefits to local communities by creating jobs in the tourism industry and supporting local businesses. It can also encourage the preservation of natural resources and cultural heritage.
Benefits for the environment: Ecotourism can promote the conservation of natural resources and ecosystems by raising awareness and encouraging sustainable tourism practices. It can also support research and monitoring efforts to improve understanding of the environment and its conservation needs.
Benefits for the tourism industry: Ecotourism can create new market opportunities for the tourism industry by offering unique and sustainable travel experiences. It can also improve the industry's reputation and competitiveness by promoting responsible and sustainable tourism practices.
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a. How did the residents of donora initially respond?
The Pennsylvanian towns of Donora were struck by a smog at the end of October 1948 that forever altered the way environmental protection was practiced in the country.
During this, 20 people were confirmed dead, according to conservative estimates, while 5900 more people, or 43% of Donora's population, were adversely affected by the smog.
A firetruck and an ambulance from Donora's first responders started responding to calls. These rescue cars had to be led by a man walking in front carrying a torch due to the darkness. Later, when this technique was rendered impossible, firefighters started going door to door to give residents of Donora oxygen. Doctors advised anyone with long-term medical concerns to leave, but as the fog grew thicker, the routes became impassable.
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Starting with an initial speed of 6.00 m/s, a 62.0 kg skier skies down a slope. The speed of the skier at the bottom of the slope is 26.5 m/s. Neglecting friction, determine the height of the slope.
The height of the slope is 323.6 meters. The slope could be calculated by using the energy conservation principle.
What is friction?The force of friction prevents movement between two surfaces that are in touch with one another.
It is caused by the irregularities and imperfections in the surfaces and the molecular interactions between them. Friction can act in both the direction of motion, called kinetic friction, and opposite to the direction of motion, called static friction. The magnitude of friction depends on the nature of the surfaces in contact, the force pressing them together, and the relative speed between them.
We can use conservation of energy to solve this problem, since friction is neglected. The total mechanical energy of the system (skier + Earth) is conserved:
KE_i + PE_i = KE_f + PE_f
where PE stands for potential energy and KE for kinetic energy.
At the top of the slope, the skier has only potential energy:
PE_i = mgh
where m is the skier's mass, g is the acceleration brought on by gravity, and h is the slope's height.
KE_f = (1/2)mv²
where v denotes the skier's speed at the slope's base.
Setting the initial and final energies equal to each other, we have:
mgh + 0 = (1/2)mv² + 0
Solving for h, we get:
h = (v²)/(2g) - (1/2)h
Plugging in the given values, we get:
h = (26.5²)/(2*9.81) - (1/2)h
Simplifying and solving for h, we get:
h = 323.6 m
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Which list of components creates a circuit through which an electric current can flow?
A. a battery, insulated wires, a buzzer, and an open switch
B. a generator, two light bulbs, and an open switch
C. a generator, a light bulb, and a closed switch
D. a battery, insulated wires, and a buzzer
A circuit requires a complete loop through which an electric current can flow. Therefore, The correct answer is Option(D).
A battery provides the source of the electric potential difference, and insulated wires allow the current to flow from the battery to the buzzer. The buzzer completes the loop back to the battery. An open switch, such as in options A and B, would break the circuit and prevent the flow of electric current. A closed switch, such as in option C, would complete the circuit. However, option C does not provide a complete circuit with a source of electric potential difference, and therefore cannot create a sustained flow of electric current.
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when a pure water is heated , it increases in volume
As water freezes below 4°C, the volume of the liquid shrinks and water molecule motion slows. When the temperature rises over 4 °C, the water molecules spread out and take up more space, increasing the volume.
How does cooling water from 4 C to 0 C affect its volume?Due to the peculiar property of water known as "Anomalous Expansion of Water," when 1 liter of water is cooled from 4°C to 0°C, the volume of the water starts to grow. Between 4°C and 0°C, water expands abnormally.
What happens to water's specific volume when it is heated from 0 degrees Celsius?Water volume reduces as it is heated from 0°C to 4°C because the water's density will be maximum
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A uniform, aluminum beam 9.00 m
long, weighting 300 N
, rests symmetrically on two supports 5.00 m
apart. A boy weighing 600 N
starts at point A
and walks toward the right. (Figure 1) How far beyond the support can the boy walk without tipping?
The boy weighing 600 N can walk at most 4.1 m beyond point A without tipping the beam.
What is center of mass?It is the weighted average position of all the system's or object's constituent pieces. It is the average position of all the parts of the system or object, weighted according to their mass. In other words, the center of mass is the point where an applied force will result in pure translation of the object, without any rotation.
To avoid tipping, the center of mass of the beam and the boy together must remain over the area between the two supports. Let's first find the center of mass of the beam.
The weight of the beam is 300 N and it is uniform, so its center of mass will be located at the midpoint, or 4.5 m from either support.
Next, we need to find the center of mass of the boy-beam system as the boy walks along the beam. Let's assume the boy moves a distance d to the right of point A before tipping occurs. The weight of the boy is 600 N and we can approximate his weight as acting at the center of his body, which we'll assume is 0.9 m from the left end of the beam. The combined center of mass of the boy-beam system will be at a distance (4.5 m + 0.9 m + d) from the left end of the beam.
For the system to remain stable, this combined center of mass must remain between the two supports, which are 5.00 m apart. Therefore, we can write:
4.5 m ≤ 4.5 m + 0.9 m + d ≤ 9.5 m
Solving for d, we get:
d ≤ 4.1 m
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if it took her 2.7 seconds to lift the lawnmower, how much power did she output
Answer:
N/A
Explanation:
The following formula can be used to compute the power output of a person lifting a lawnmower:
Work (W) / Time (t) = Power (P).
Where:
Work (W) is defined as the force used to lift the lawnmower multiplied by the distance traveled (i.e., work done against gravity).
Time (t) is the amount of time it takes to lift the lawnmower.
To determine the power output, however, we would need to know the force used to lift the lawnmower as well as the distance it was lifted. We won't be able to provide an accurate power output value without this information.
Suppose the metal sample in Figure 10.2 is immersed in water, is cubical with side 3.0 cm, and has a mass of 54 g.
The force of buoyancy acting on the sample is 2.65 N.
If the sample's supporting string is cut, it will float to the surface of the water.
How to calculate bouyant force?a. The buoyant force acting on the sample can be calculated using the formula Fb = ρVg, where ρ is the density of water, V is the volume of the submerged part of the sample, and g is the acceleration due to gravity. Since the sample is immersed in water, its volume is equal to the volume of water it displaces, which can be calculated using the formula V = l × w × h, where l, w, and h are the dimensions of the submerged part of the sample. Since the sample is cubical, all sides have the same length of 3.0 cm. Thus, the submerged part of the sample has a volume of V = 3.0 cm × 3.0 cm × 3.0 cm = 27.0 cm³ = 0.027 m³. The density of water is ρ = 1000 kg/m³, and the acceleration due to gravity is g = 9.81 m/s². Therefore, the buoyant force acting on the sample is:
Fb = ρVg = 1000 kg/m³ × 0.027 m³ × 9.81 m/s² ≈ 2.65 N
b. The sample will float to the surface of the water if its supporting string is cut. This is because the buoyant force acting on the sample is greater than its weight, which means that there is a net upward force on the sample. This net force causes the sample to accelerate upward, and it will continue to accelerate until it reaches the surface of the water. At the surface, the upward force is balanced by the weight of the sample, and it will float on the water.
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Complete question:
2. Suppose the metal sample in Figure 10.2 is immersed in water, is cubical with side 3.0 cm, and has a mass of 54 g. a. Calculate the buoyant force acting on the sample. b. Describe the behavior of the sample if its supporting string is cut. Explain how you arrive at your answer. balance arm water metal sample water overflow can beaker Figure 10.2 MEASUREMENTS
Sources of error could have come from friction that may result in energy losses during the collision, The gliders may not be perfectly elastic, which means that some energy may be lost during the collision
are these errors random or systematic errors?
Sources of error could have come from small amounts of friction, and glider 2 could have not been totally at rest. These errors are systematic errors.
Are these errors random or systematic?
Answer:
The first set of errors, which include friction and imperfect elasticity, are systematic errors because they arise from consistent factors that affect the measurements in a predictable way. These errors will be present in every trial of the experiment and will cause a consistent deviation from the true value.
The second set of errors, which include small amounts of friction and the initial velocity of glider 2, are also systematic errors because they arise from consistent factors that affect the measurements in a predictable way. These errors will also be present in every trial of the experiment and will cause a consistent deviation from the true value.
Explanation:
A laboratory measurement finds 200 μg of hemoglobin per μL of blood. Hemoglobin, the blood protein that transports oxygen, has a molecular weight of 64 kDa or 64,000 u , where 1 dalton ( Da ) = 1 atomic mass unit ( u ) = 1.66×10^−24g . Estimate the number of hemoglobin proteins in one red blood cell. Express your answer in hemoglobin per red blood cell.
One red blood cell contains an estimated 251 molecules of haemoglobin, according to our estimation.
What size does a red blood cell typically have?The average red blood cell has a diameter of 6 to 8 micrometres, according to the American Society of Haematology, and a volume of 113-268 μm³ or 113-268x10⁻¹² L.
Let's first change the haemoglobin concentration from grammes per litre to grammes per litre so that it has the same units as the molecular weight:
200 μg/μL x 1 g/1000 μg x 10⁶ μL/L = 0.2 g/L
Next, let's translate hemoglobin's molecular weight from kDa to grammes per molecule:
64 kDa x 1000 Da/kDa x 1.66x10⁻²⁴ g/Da = 1.06x10⁻²⁰ g/molecule
Using Avogadro's number, we can now determine how many haemoglobin molecules are present in a single litre of blood ([tex]6.022*10^{23}[/tex] molecules/mol): 0.2 g/L x 1 mol/1.06x10⁻²⁰ g x [tex]6.022*10^{23}[/tex] molecules/mol = 1.13x10¹⁵ molecules/L.
Divide the total number of molecules in 1 litre of blood by the volume of red blood cells to get the amount of haemoglobin molecules per red blood cell. The typical red blood cell count range, according to the American Society of Haematology, is between 4.5-5.5 million cells/L, which translates to 4.5-5.5x10¹² cells/L.
When we divide the quantity of red blood cells in 1 L by the quantity of haemoglobin molecules, we get:
1.13x10¹⁵ molecules/L / 4.5x10¹² cells/L = 251 Red blood cell haemoglobin molecules, rounded to the closest integer.
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An airplane flies with a constant speed of 1624 miles per hour. How far can it travel in 30 minutes?
The distance the airplane will travel in 30 minutes, given that the airplane travels at 1624 miles per hour is 812 miles
How do i determine the distance travelled?The following data were obtained from the question:
Speed of airplane = 1624 mile per hourTime taken = 30 minutes = 30 . 60 = 0.5 hourDistance travelled =?Speed is defined as distance travelled per unit time.
Speed = Distance travelled / time
Inputting the various parameters, we can obtain the distance travelled as follow:
1624 = Distance travelled / 0.5
Cross multiply
Distance travelled = 1624 × 0.5
Distance travelled = 812 miles
Thus, we can conclude that the distance travelled by the airplane in 30 minutes is 812 miles
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Need Help! The diagram shows a cross section of the Earth near its surface.
In the diagram, continental crust is labeled ___, and oceanic crust is labeled ____
A. 1; 2
B. 3; 1
C. 2; 1
D. 1; 3
In the diagram, continental crust is labeled 1 and oceanic crust is labeled 2.
option A.
What are the characteristics of Continental and ocean crust?
Continental crust:
Generally thicker, averaging about 30-40 kilometers in depth.Composed mostly of granite, which is a type of igneous rock.Less dense compared to oceanic crust.Contains a wide range of rock types, including sedimentary, metamorphic, and igneous rocks.Forms the continents and the shallow shelves extending from the continents under the oceans.Oceanic crust:
Generally thinner, averaging about 5-10 kilometers in depth.Composed mostly of basalt, which is a type of igneous rock.More dense compared to continental crust.Mostly consists of igneous rocks, specifically basaltic lava flows and volcanic rocks.Forms the ocean basins and the deep ocean floor.Learn more about Continental and ocean crust here: https://brainly.com/question/5637320
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A sound wave travelling at 330m/s has a frequency of 220Hz. What is its wavelength?
Answer: 1.5 meters.
Explanation:
Wavelength is equal to λ = v/f. We are given the following:
v = 330 m/s
f = 220 Hz
We can plug this in to find the wavelength.
[tex]wavelength = \frac{330}{220} \\wavelength = 1.5 m[/tex]
Increasing the number of loops in a solenoid will cause the strength of its magnetic field to
As long as the current is steady, a solenoid's magnetic field will become stronger as the number of loops increases.
Was the electromagnet made stronger or weaker by adding more loops?An electromagnet's strength can be increased by increasing the current or voltage as well as the quantity of wire loops encircling the iron core.
What number of loops will result in the strongest magnetic field?It follows that increasing the number of turns or the current flow (by raising the voltage because I = V/R) will produce a stronger magnetic field for a given coil length. Therefore, a coil with N of 1000 turns would generate a stronger magnetic field than one with N of only 100 turns.
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A blue train of mass 50 kg moves at 4 m/s toward a green train of 30 kg initially at rest. The trains collide. After the collision the green train moves with a speed of 3 m/s. What is the final momentum of the green train?
A. 200 kgm/s
B. 90 kgm/s
C. 20 kgm/s
D. 110 kgm/s
The learner added some iodine solution to the water in the test tube. After 30 minutes at room temperature, the contents of the visking tubing bag were stained black, but the water in the test tube remained a yellow color.( I) explain this results
What is the weight of a body of mass 12kg?
A bubble of air has a diameter of 1 mm when it is 0.5 m under the surface of water ( coefficient of surface tension 0.073 N/m). Find the gauge pressure inside the bubble.
The gauge pressure inside the bubble. is -101310.4 Pa.
The negative sign shows that the pressure inside the bubble is lower than the atmospheric pressure. Hence, the bubble will rise to the surface of the water.
How do we calculate?We apply Laplace's law to find the absolute pressure inside the bubble:
ΔP = 2γ/r
where ΔP is the pressure difference across the curved surface of the bubble, γ is the coefficient of surface tension of water, and r is the radius of curvature of the bubble.
r = 0.5 mm = 0.0005 m
Substituting the given values, we have:
ΔP = 2 × 0.073 N/m ÷ 0.0005 m
ΔP = 14.6 × 10^(-3) Pa
The atmospheric pressure at sea level is approximately 101325 Pa. Therefore, the gauge pressure inside the bubble is:
P_gauge = ΔP - P_atm
P_gauge = 14.6 × 10^(-3) Pa - 101325 Pa
P_gauge = -101310.4 Pa
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Which of the following can be formed by a convergent boundary?
A. Volcanic mountains B. All of these
C. Volcanic islands
D. Deep ocean trenches
Answer:
Volcanic mountains can be formed by a convergent boundary.
Using the Left Hand Rule, if motion is toward you and the field is up, which way is the current?
A. Left
B. Right
C. Toward you
D. Away from you
why does pure water increase in volume when heated
Answer:
Pure water increases in volume when heated due to the phenomenon of thermal expansion. When water is heated, the kinetic energy of its molecules increases, causing them to move faster and spread out. This increased molecular movement leads to an increase in the average distance between water molecules, resulting in an expansion of the water.
Explanation:
.......
A wave has a frequency of 50Hz and a wavelength of 20m.
Calculate the speed of the wave in m/s.
Explanation:
f= 50Hz
wavelength= 20m
Speed of wave (v) = frequency × wavelength
= 50×20
= 1000m/s