The acceleration of the sphere when its speed is 24.0 m/s is 9.26 × 10^5 g.
At any instant, the force on q2 is given by the electrostatic force and can be calculated using Coulomb's law:
[tex]F = k(q1q2)/r^2[/tex]
where k is Coulomb's constant, q1 is the fixed charge, q2 is the charge on the sphere, and r is the distance between them.
The electric force is conservative, so it does not dissipate energy. Thus, the work done by the electric force on the sphere is equal to the change in kinetic energy:
W = ΔK
where W is the work done, and ΔK is the change in kinetic energy.
The work done by the electric force on the sphere can be expressed as the line integral of the electrostatic force over the path of the sphere:
W = ∫F⋅ds
where ds is the displacement vector along the path.
Since the force is radial, it is only in the direction of the displacement vector, so the work done simplifies to:
W = ∫Fdr = kq1q2∫dr/r^2
The integral evaluates to:
W = [tex]kq1q2(1/r_f - 1/r_i)[/tex]
where r_f is the final distance between the charges and r_i is the initial distance.
The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. Thus, we have:
W = ΔK =[tex](1/2)mv_f^2 - (1/2)mv_i^2[/tex]
where m is the mass of the sphere, v_i is the initial speed, and v_f is the final speed.
Setting these two equations equal to each other and solving for v_f, we get:
[tex]v_f^2 = v_i^2 + 2kq1q2/m(r_i - r_f)[/tex]
Taking the derivative of this expression with respect to time, we get:
a =[tex](v_fdv_f/dr)(dr/dt) = (2kq1q2/m)(dv_f/dr)[/tex]
Substituting the given values, we get:
[tex]a = (2 \times 9 \times10^9 N \timesm^2/C^2 \times 5 \times10^-6 C \times 2 \times 10^-6 C / 4 \times 10^-3 kg) \times ((36 - 24) m/s) / (0.07 m)[/tex]
a = 9.257 × 10^6 m/s^2 or 9.26 × 10^5 g
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What is the formula for electric force?
The electric force is a fundamental force of nature that is described by the formula which is F = qE.
The formula for electric force is F = qE, where F is the magnitude of the force, q is the charge of the two particles, and E is the electric field vector.
The electric force is responsible for a variety of phenomena, including the attraction of particles with opposite charges and the repulsion of particles with the same charge.
This force is an important part of the electromagnetic force, which also includes the magnetic force.
Electric force is the attractive or repulsive force that exists between two electric charges.
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An electric penal sharpener is has a cument of 0.05A. The voltage is 6v. What is the resistance?
The total resistance in the circuit is 120 ohms
According to Ohm's law E= I*R
where E => Electromotive force that we know as Voltage
I refer to the Current in the circuit
From the given law, we can say that
voltage = current x resistance
so voltage in the circuit is 6v
and the current in the circuit is 0.05A
and resistance is x ohms
so
6= 0.05*xx= 6/0.05x = 120so the resistance in the circuit is 120 Ohms. The Current in the circuit is directly proportional to the voltage in the circuit at a constant resistance.
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A wire ring of internal radius 3cm and external radius 3.2 cm is rested on the surface of a liquid and then raised. An extra pulling force equivalent to the weight of 3.03g is required before the film breaks than it is after. Calculate the surface tension of the liquid.
The surface tension of the liquid is 24.1 g/m.
How can we calculate the value of the surface tension of the liquid?To calculate the surface tension of the liquid, we can use the formula:
surface tension = (extra force required) / (length of the film)
extra force required = 3.03 g
internal radius = 3 cm = 0.03 m
external radius = 3.2 cm = 0.032 m
The length of the film can be calculated as the circumference of the external ring minus the circumference of the internal ring:
length of the film = (2 * pi * external radius) - (2 * pi * internal radius)
= (2 * pi * 0.032 m) - (2 * pi * 0.03 m)
= 0.1257 m
So, the surface tension can be calculated as:
surface tension = (3.03 g) / (0.1257 m)
= 24.1 g/m
The surface tension of the liquid is 24.1 g/m.
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A boy throws a 1 kg rock with a force of 5N. What is the acceleration of the rock when
he lets go of it?
Answer:
5m/s²
Explanation:
mass of the rock = 1kg
Force = 5N
As we know that,
Force= mass*acceleration
Substitute the respective values,
5N = 1kg * a
a = 5N/1kg
a = 5m/s²
And we are done!
What happens when a baseball player runs from home plate to 1st base, from 1st to 2nd base, from 2nd to 3rd; and then back to home plate?
A car goes forward along a level road with a certain acceleration, a. The additional force needed to bring the car into equilibrium is.
The additional force needed to bring the car into equilibrium is equal to the mass of the car times the acceleration of the car, or F = ma.
What is equilibrium?Equilibrium is a state of balance and stability between opposing forces or actions. In economics, it refers to the point where the supply and demand for a given product or service are equal, and the market price of the product or service is stable. In physics and chemistry, equilibrium is a state in which different competing forces are balanced, so that no net change is observed. In biology, it is the ability of an organism to maintain a stable internal environment despite changes in external conditions. Ultimately, equilibrium is a state of balance, stability, and homeostasis.
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In a paragraph of no less than five complete sentences, explain how the bubble gum
experiment demonstrates the Law of Conservation of Mass. Remember to use
proper grammar and mechanics when writing your paragraph.
Modern wind turbines are larger than they appear, and despite their apparently lazy motion, the speed of the blades tips can be quite high-many times higher than the wind speed. A turbine has blades 59 m long that spin at 14 rpm.
Modern wind turbines are larger than they appear, and despite their apparently lazy motion, the speed of the blades tips can be quite high-many times higher than the wind speed. A turbine has blades 59 m long that spin at 14 rpm. The Centripetal acceleration will be equal to 126.684 rad/sec².
We have specified the blade's length, which is radius r = 59 meters.
Angular speed ω= 14 rpm = 2x3.14x14 = 1.4653 rad/sec
60
Finding the centripetal acceleration is necessary.
Since centripetal acceleration is determined by
αc = v²/r² = ω²r ( as v =ωr)
hence, angular acceleration
αc = 1.4653 rad/sec x59 =126.684 rad/sec².
Centripetal; the rate of acceleration will be 126.684 rad/sec².
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Which of these ranges of electromagnetic radiation has the shortest wavelengths? A. visible light. B. X-rays. C. infrared radiation. D. ultraviolet radiation
Answer:
Ultraviolet Radiation
Explanation:
UV radiation has the highest frequency/shortest wavelength.
Range Wavelength (nm) [nm = nanometers; 10^-9m]
Ultraviolet 10-400 nm
Violet - 400-420 nm
Indigo - 420 - 440 nm
Blue - 440 - 490 nm
Green - 490 - 570 nm
Yellow - 570 - 585 nm
Orange - 585 - 620 nm
Red - 620 - 780 nm
Visible:
Express, in terms of x, the value, in cents. of x pounds of 40-cent cookies and (30-x) pounds of 50-cent cookies.
The value, in cents. of x pounds of 40-cent cookies and (30-x) pounds of 50-cent cookies are x(40) + (30-x)(50) = 40x + 1500 - 50x = 1500 - 10x
What is pound?The pound is a mass and weight measurement unit that is used in both the imperial and American customary systems. It is equal to 16 ounces or 0.45359237 kilograms. It is used in a variety of contexts, including engineering, commerce and finance, as well as everyday use. In the United Kingdom and other countries of the Commonwealth of Nations, it is the basis of their currency; one pound sterling is equal to 100 pence. The origin of the pound dates back to the Roman Empire, when it was known as the libra.
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According to the given statement 1500 -10x represents the equation in terms of x.
Is pound a mass or force?The term "pound" can also refer to a unit of mass in other situations. The pound is a unit of mass, and the international standard sign for it is lb. The weight of the mass unit (pound-mass) onto Earth's surface is about equivalent to the force unit in the "engineering" categories (middle column) (pound-force).
We are assigned the task of expressing an equation in terms of x using the provided information.
In this case, we must multiply the pounds by the number of cookies.
Where,
x=pounds × cent cookies
In light of the fact that for x pounds of 40 cent cookies.
And (30-x) pounds of 50 cent cookies
Let us form an equations in terms of x:
⇒40x+50(30−x)
⇒40x+1500−50x
⇒1500−10x
As a result, 1500 -10x represents the equation in terms of x.
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What is the power (in Watts) of a bus that uses 35 N of force to move 20 m in 5s?
Power is the rate at which work is done, and it is measured in watts (W). It can be calculated using the formula:
Power = Work / Time
Work can be calculated using the formula:
Work = Force x Distance x cos(theta)
where Force is measured in Newtons, Distance is measured in meters and theta is the angle between the force and displacement vectors.
As we are not giving any value for the angle between force and displacement vectors, we can assume it's zero degree, so the cos(0)=1
So we can plug in the given values to find the work done:
Work = 35 N x 20 m x 1 = 700 J
Now we can calculate power:
Power = 700 J / 5 s = 140 W
Therefore, the power of the bus is 140 Watts
What is the power (in Watts) of the Pokemon Hitmonlee that uses 237 N of force to move a huge boulder 83 m in 5s?
An amusement park ride consists of a rotating circular platform 7.4 m in diameter from which 10 kg seats are suspended at the end of 1.81 m massless chains. When the system rotates, the chains make an angle of 26.6 degree with the vertical. The acceleration of gravity is 9.8 m/s
a). what is the speed of each seat? answer in units of m/s
b). if a child of mass 49.1 kg sits in a seat, what is the tension in the chain ( for the same angle)? answer in units of N
a) The speed of each seat in an amusement park ride of a rotating circular platform is calculated to be 5.57 m/s.
b) The tension in the chain if a child of mass 49.1 kg sits in a seat is calculated to be 650.79 N.
a) By drawing a free body diagram, we represent the two types of forces on the seat. They are represented by the equation, sum of forces in the y direction,
∑F = ma
T cos θ − mg = 0
T = mg / cos θ
Sum of forces in the centripetal direction,
∑F = ma
T sin θ = m v² / r
(mg / cos θ) sin θ = m v² / r
m g tan θ = m v² / r
g tan θ = v² / r
v = √(gr tan θ)
First, let us find the radius of the path,
r = 7.4 / 2 + 1.81 sin 26.6°
r = 3.7 + 1.81× 0.45 = 6.33 m
v = √(9.8 m/s² × 6.33 m × tan 26.6°)
v = √(9.8 × 6.33 × 0.5) = 5.57 m/s
b) T = mg / cos θ
T = (10 kg + 49.1 kg) (9.8 m/s²) / cos 26.6° = 579.2/0.89
T = 650.79 N
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You serve a ball with a mass of 3.8 kg. The ball leaves your hand with a speed
of 38 m/s. What is the ball's kinetic energy?
Answer:
Below
Explanation:
Kinetic Energy = 1/2 m v^2
K.E. = 1/2 ( 3.8 kg) ( 38 m/s)^2 = 2743.6 J
A race car sets out on a 100.0 km race. At the halfway marker, the pit crew notes that the driver has averaged only 80.0 km/h. What speed must the driver maintain for the second half of the race in order to average 100.0 km/h overall?
The driver has to maintain the speed of 133.3 km/h for second half of the race in order to average 100km/h.
What does "average velocity" and "speed" mean?In order to calculate average velocity, divide the change in position or displacement (x) by the time intervals (t) during which the displacement takes place. Depending on the displacement's sign, the average velocity can either be positive or negative. Meters per second (m/s or ms-1) is the SI measure for average velocity. By dividing the entire distance the body has traveled by the amount of time it took to cross that distance, the average speed formula can be calculated.
To complete the race in 1 hr => 100 km/hr in a 100 km
Driver is going 80 km/hr at half way marker (50m).
Time taken to cover 50m = 50 km * (1 hr/80 km) = 5/8 hour.
Total time to complete the race on average 100 km/hr is 1 hr.
Hence, time required to cover second half of the race => 1 hr - 5/8 hr
=> 3/8 hr
v= 50km/(3/8 hr) = 50*(8/3) = 133.3 km/h
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VT 106.00 V, T=?, R₁ = ?
V₁?, 1₁-?, R₁= ?
V₂= 33.00 V, 12= ?,
R₂= ?
V3= 32.00 V, 13-?, R₂= 13.00 Ohms
Solve for all the necessary parts of the circuit to answer the following question:
What is the resistance at (R₂) which is the resistance of resistor two?
(Use one of the following choices for the unit: V, A, Ohms)
The resistance at R₂ is 13 Ohms.
What is resistance?Resistance is a measure of the opposition to current flow in an electrical circuit. It is typically measured in units of ohms (Ω). It is the ratio of voltage across a component to the current flowing through it. A component with a high resistance allows less current to flow through it for a given voltage, while a component with a low resistance allows more current to flow for the same voltage. The resistance of a component can be affected by factors such as temperature, material, and dimensions.
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Could these mutations make the virus more deadly to humans? Support your answer in one or two sentences.
When SARS-CoV-2 replicates, mistakes can be made in some copies of its genome, giving rise to mutations. Mutations happen randomly and are a source of genetic variations, or differences, among viruses.
Yes, mutations in the SARS-Cov2 may make the virus more deadly to humans because they are selected to make the virus superior in an adaptive way in order to form the next generations of viruses.
What is the evolutionary meaning of genetic mutations in viruses and organisms?The evolutionary meaning of genetic mutations in viruses and organisms is based on the fact that mutation per se is not adaptive (or beneficial), deleterious or neutral, but it depends on the enviroment in which they are and how it affects the differential reproduction of the virus.
Therefore, with this data, we can see that the evolutionary meaning of genetic mutations in viruses and organisms is the fact that after emergence may be selected to enhance the adaptive features of a virus and thus also make it more deadly to humans in the case of viruses.
Complete (correct) question:
When SARS-CoV-2 replicates, mistakes can be made in some copies of its genome, giving rise to mutations. Mutations happen randomly and are a source of genetic variations, or differences, among viruses.
Could these mutations make the virus more deadly to humans? Support your answer in one or two sentences.
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Organic matter such as wood, rice hulls, and sugar cane are all renewable and are examples of _____.
fission produces
nuclear fuels
fossil fuels
biomass
Answer:
d biomass
Explanation:
A boy i winging a toy on apiece of tring in a vertical circle. The toy ha ma 150g and the radiu of circle i 0. 8m. A) he wing the toy with a linear velocity 2m/. Will the top move in a circle? explain your anwer
If the boy swings the toy with a linear velocity of 2m/s, the toy will move in a circle. The force required to maintain the toy's motion IS 750g * m/s^2
The linear velocity of an object moving in a circle is related to its angular velocity (measured in radians per second) and the radius of the circle. The linear velocity is given by the equation: v = r * w, where v is the linear velocity, r is the radius of the circle, and w is the angular velocity.
In this case, the radius of the circle is 0.8m and the linear velocity is 2m/s. Therefore, the angular velocity of the toy can be calculated as: w = v/r = 2m/s / 0.8m = 2.5 rad/s.
The toy has a mass of 150g and it moves in a vertical circle with a radius of 0.8m and a linear velocity of 2m/s, so it will move in a circle. The force required to maintain this motion is the centripetal force, which is given by the equation F = m * a, where F is the force, m is the mass of the toy and a is the centripetal acceleration. The centripetal acceleration is given by the equation a = v^2/r, where v is the linear velocity and r is the radius of the circle.
So, the force required to maintain the toy's motion is F = m * a = 150g * (2m/s)^2 / 0.8m = 750g * m/s^2
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Question 8 (2 points)
A negatively charged rubber balloon is sticking to Vivek's shirt. It is attracted to the
shirt's positive charges. He then pulls the balloon farther away from his shirt. How
does the electric force between the balloon and Vivek's shirt change when the
balloon is moved?
The electric force increases.
The electric force decreases.
The electric force does not change.
Answer:The balloon's negative charges are attracted to the positive charges in the can, and so the can rolls toward the balloon.
Explanation:
particles q1=-53.0uC, q2=+105uC, and q3=-88.0uC are in a line. particles q1 and q2 are separated by 0.50m and q2 and q3 are separated by 0.95m. what is the net force on particle q3?
Answer:The answer sir would be 180.38
Explanation:
A figure skater begins spinning counterclock-
wise at an angular speed of 3.2 7 rad/s. Dur-
ing a 4.6 S interval, she slowly pulls her arms
inward and finally spins at 7.7 T rad/s.
3.
What is her average angular acceleration
during this time interval?
Answer in units of rad/s^2
According to the answer The average angular acceleration 1.3 rad/s^2.
What is angular acceleration?Angular acceleration is the rate of change of angular velocity over time. It is a vector quantity, which means that it has both a magnitude and direction. Angular acceleration is usually measured in units of radians per second squared (rad/s2). The magnitude of angular acceleration indicates how quickly the angular velocity is changing, and its direction indicates the direction of the angular velocity change.
The average angular acceleration of the figure skater during this time interval can be calculated using the equation a = (Δω)/(Δt). Here, Δω is the change in angular speed during the interval and Δt is the length of the interval.
Therefore, the average angular acceleration = (7.7 rad/s - 3.2 rad/s) / 4.6 s = 1.3 rad/s^2.
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The purpose of refrigerant going through a restriction is to change all of these refrigerant characteristics EXCEPT:
The purpose of refrigerant going through a restriction is to change all of these refrigerant characteristics except is pressure.
What is pressure?Pressure is the amount of force applied over a given area. It is measured in units such as pounds per square inch (psi). Pressure can be applied to a variety of things including gases, liquids, solids, and vacuums. It can be caused by a variety of sources, such as gravity, electromagnetic fields, and electric currents. Pressure can also be applied to change the physical properties of a substance such as its temperature, density, or viscosity. It can be used to move objects, create energy, and form objects. Pressure is an important concept in many areas of science, ranging from physics to engineering.
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The nitrogen cycle is an example of a(n) cycle. Its processes include the conversion of atmospheric nitrogen into ammonia, which is called. Nitrogen is returned to the atmosphere in the process of.
The nitrogen cycle is an example of Nitrogen fixation and denitrification cycle.
What is nitrogen cycle?The nitrogen cycle is the process by which nitrogen is converted between its various chemical forms. This process is essential for life on Earth, as nitrogen is a critical component of proteins, DNA, and other molecules that make up living organisms. The cycle is comprised of four main steps: nitrogen fixation, ammonification, nitrification, and denitrification. In the nitrogen fixation step, nitrogen gas from the atmosphere is converted into ammonia (NH3) or nitrogen oxide (NOx) molecules by certain bacteria and other organisms. In the ammonification step, organic nitrogen molecules are converted into ammonia. In the nitrification step, ammonia is converted into nitrate (NO3-) and nitrite (NO2-) molecules by bacteria. Lastly, in denitrification step, nitrate and nitrite are converted back into nitrogen gas by bacteria. The nitrogen cycle is a continuous process, with nitrogen molecules cycling between its various forms.
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A steam powered generator. The diagram below shows the steps involved in using the energy in steam to generate electricity
Electricity can be generated from a steam turbine and used to power a bulb as shown.
How can power be generated from steam?We know that the generation of electricity is largely linked to the principle of the transformation of energy or the conservation of energy which just portrays the idea that energy can neither be created nor destroyed but is converted from one form to another.
We can see that the fuel can be used to heat up the water in the image that is attached and the water is converted to steam and then the steam can be used to turn a steam turbine and electricity is produced that can be able to power a bulb.
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Physical Appearance Bias Definition
Discrimination on the basis of the physical appearance of a person is called physical appearance bias.
Our society has constructed a notion of physical attractiveness. It is related to the quality of the social appearance. Physically attractive people are at advantage as compared to the people who are not physically attractive. Physical appearance bias is the discriminatory behavior provided by our society to the people who are not unattractive and not so good looking. This physical attribute may be the height, weight, color of the skin, etc. This perception of discrimination of our society more often results in adverse consequences.
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Is it possible for a fig with a mass of 0.04 kg to have a greater momentum than an elephant seal with a mass of 3,000 kg? Explain.
Yes, it is possible for a fig with a mass of 0.04 kg to have a greater momentum than an elephant seal with a mass of 3,000 kg.
What is momentum?The sum of an object's mass and velocity is termed as its momentum. It consists of both a magnitude and a direction, making it a vector quantity.
Reason for the above :For the given momentum K.E. is inversely proportional to the mass. Hence, the fig with a mass of 0.04 kg has lower kinetic energy. For two bodies having same kinetic energy, the lighter one has greater momentum.
Hence, Yes, it is possible for a fig with a mass of 0.04 kg to have a greater momentum than an elephant seal with a mass of 3,000 kg.
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If you run at a consistent pace of 5 meters per second, how many meters could you run in
60 seconds?
5 × 60 = 300
Therefore, you could run 300 meters in 60 seconds.
Answer:
300 meters
Explanation:
5 x 60 = 300
please help Which of the following best describes scientific facts?
a.They are universally accepted as true.
b.They describe a certain phenomenon in nature.
c.They are regularly updated as new evidence arises.
d.They predict a relationship between variables.
Answer: a. They are universally accepted as true.
Explanation: Scientific facts must be universally accepted as true, if not they can't be accepted
A pitcher applies an average force of 6.2 N in the forward direction on a baseball for 0.65 seconds. The baseball’s mass is 0.145 kg. and initial velocity is zero.
What momentum does the baseball have as it is released by the pitcher?
How fast is the baseball going after the impulse?
The catcher catches the baseball in the problem above. It takes 0.15 seconds to stop the ball. How much average force must the catcher apply during that time interval? (Ignore air resistance.)
Answer:
1. The momentum of the baseball as it is released by the pitcher is 0.913 Ns.
2. The velocity of the baseball after the impulse is 9.3 m/s.
3. The average force that the catcher must apply during the 0.15 second time interval is 12.2 N.
Explanation:
1. Momentum = Force x Time = 6.2 N x 0.65 s = 0.913 Ns
2. Velocity = Momentum / Mass = 0.913 Ns / 0.145 kg = 9.3 m/s
3. Force = Change in Momentum / Time = (0.913 Ns - 0) / 0.15 s = 12.2 N