Using Coulomb's law, which states that the force among two charged particles is related to the sum of the magnitudes of the charges and inversely proportional to the square of the distance between them.
(a) Coulomb's law can be used to calculate the strength of the electric force acting on a charge +Q positioned in the middle of the square: [tex]F = k \times Q \times \frac{q}{r2},[/tex]
Where k is the Coulomb's constant [tex](8.99 \times 109 N \times\frac{m2}{C2})[/tex],
Q is the size of the charge +Q, q is the size of the identical charges +q, and r is the distance between +Q and each of the charges (which is equal to the side length of the square, a).
Given that there are four charges +q that are equal, the total force can be calculated by adding the forces from each charge +q:
[tex]F = 4 \times k \times Q \times \frac{q}{a^2}[/tex]
(b) The force is moving in the direction of the square's centre.
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pls helpHow do scientists reduce the number of unwanted variables in an experiment?
a.by only having one scientist work on each experiment
b.by conducting multiple experiments at the same time
c.by performing experiments under laboratory conditions
d.by performing additional background research
The way scientists reduce the number of unwanted variables in an experiment is c.by performing experiments under laboratory conditions
What is an Unwanted Variable?Anything that might have an impact on the dependent variable is considered an unnecessary variable.
In addition to influencing the independent variable, a confounding variable also correlates with or has a causal relationship with the dependent variable.
With this in mind, by using a controlled method in a lab, they are able to reduce the number of unwanted variables in an experiment.
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what is the magnitude of the net force on q3 from q1 and q2 if q1=q2=q3=5.67×10−8c , and d = 60.0 cm ?
Q 1 equals 4 Q 3 because Q 2 equals Q 3. The sum of the forces acting on q2 determines its magnitude. F = k q a q b r 2 is the formula we use to compute each individual force.
The right answer is D) Q 2 and Q 3 have the same magnitude but the opposite sign.∴
Due to their mutual attraction, Q 2 and Q 3 feel an attractive force. Now, Q 1 must have a sign from Q 3 to repel it so that the net force on Q 3 is zero r 2.
−kQ \s2 \s \s Q \s3
\s = \s(2r) \s2
k(Q \s1 \s \s )Q \s3
⇒Q \s1 \s \s =−4Q \s2
Q 1 equals 4 Q 3 because Q 2 equals Q 3.
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why is benzaldehyde not soluble in water
Benzaldehyde is not soluble in water because it is a non-polar molecule and water is a polar solvent.
Non-polar substances tend to dissolve in other non-polar substances, while polar substances dissolve in polar solvents. This is due to the fact that the polar water molecules form hydrogen bonds with each other, and the non-polar benzaldehyde molecule is unable to interact with these hydrogen bonds. As a result, benzaldehyde remains separate from the water molecules and does not dissolve in water. A non-polar substance is a chemical substance that does not have a charged distribution of electrons, meaning it does not have distinct positive and negative regions. These substances have a uniform distribution of electrons, resulting in a symmetrical molecule that does not have any polar bonds.
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help!! Rochelle is a chemist who primarily studies thermodynamics. Which of the following topics might Rochelle research for her job? chose all that apply
a.the vibrations that are produced by musical instruments
b.the temperature required to melt a certain metal
c.the amount of heat produced by a certain reaction
d.how a new engine converts thermal energy into work
e.how light is affected by passing through a plastic lens
f.how subatomic particles behave at extremely high speeds
Rochelle is a chemist who mainly studies thermodynamics, so she is likely to research: b. the temperature required to melt a certain metal, c. the amount of heat produced by a certain reaction and d. how a new engine transforms thermal energy into work.
Describe Thermal energy.Thermal energy is a form of energy that results from the movement of particles in matter. It is the energy that is associated with the temperature of a substance and is proportional to the amount of heat it contains.
What is the significance of thermal energy?Thermal energy is a form of internal energy and is often used to describe the energy stored in a system due to the random motion of its constituent particles. Thermal energy can be transferred from one object to another through heat conduction, convection, and radiation.
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in a 100-m race, the winner is timed at 10.7 s. the second-place finisher's time is 12.1 s. how far is the second-place finisher behind the winner when she crosses the finish line? assume the velocity of each runner is constant throughout the race.
The second place finisher is 39.6 m behind the winner in the race when the winner crosses the finishing line.
In the 100m race, the time for winner is 10.7s and the time for second finisher is 12.1s.
Because the velocity is constant,
Now, we know,
Velocity = Distance/Time
Velocity of winner = 100/10.7
Velocity of winner = 9.34 m/s.
Velocity of the person at second place finisher = 100/12.1
Velocity of the person at second place finisher = 8.26 m/s.
Now, the difference in time period is,
Time difference = 12.1-10.7
Time difference = 1.4 s.
Now, the distance between the runner is given by,
Distance = Velocity of second finisher x time difference
Distance = 8.26 x 1.4
Distance = 39.6 m.
So, the second finisher is 39.6 m behind the winner when she crosses the finish line.
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the apparatus represented in the (figure 1) consists of five identical balls mounted on elastic rods. each elastic rod is connected to a base. the (unlabeled) ball and rod on the far left are pulled towards the screen (that is, toward you) and released. which of the ball-and-rod combinations will have the largest amplitude of oscillation?
The correct option is D. This is due to the fact that the rod in D has the same length as the vibrating rod (unlabeled), making it more likely for it to enter into resonance and generate a more pronounced oscillation.
In a complex mixture of chemical compounds that are reacting, a chemical oscillator is one in which the concentration of one or more components changes on a regular basis.
A trustworthy point level sensor for high and low level indication or plugged chute detection is a vibrating rod, also known as a vibrating level switch. Bulk densities of as little as 1.25 lb/ft3 can be used for their use in light, fluffy powders and flakes.
Therefore, option (d) is correct-This is because, the rod in D has same length as the vibrating rod (unlabeled) so its more likely to get in resonance with that that's why it oscillates more vigorously.
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A circuit contains a 10 Ohm heater and six 240 Ohm lamps,
each containing a 60 Watt bulb, all connected in series. The
voltage across the circuit is 120 V. What is the current in the
circuit when only 4 lamps are turned on? What is the current in
the circuit when all the lamps are turned on? What is the
current in the circuit when all six lamps and the heater are
turned on? If the circuit has a fuse which will melt if the current
exceeds 12 A, will the fuse melt?
Answer -
1. Since the circuit is connected in series, the current in the circuit will be 0 if all the components of the circuit are not turned on. This is because of the single path that a series circuit has. So here, when only 4 lamps are turned on, the current in the circuit will be 0.
2. In this case as well, the current passing through the series circuit will be 0 as the heater which is connected to the circuit through series connection is not switched on.
3. If all the components of the series circuit is turned on,
Equivalent Resistance,
Rn = R1 + R2 + R3 + R4 + R5 + R6 + R7
Rn = 10Ω + 240Ω + 240Ω + 240Ω + 240Ω + 240Ω + 240Ω
∴ Rn = 1450Ω.
Then, current flowing through the circuit will be V/Rn.
I = V/Rn
I = 120V / 1450Ω
I = 0.08275 A
I ≈ 0.083.
4. The fuse will not melt as it is of 12A and the current flowing through the series circuit is 0.083, which is less that 12A.
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at 25°c, water has a density of 0.9982 g/ml. if the unknown liquid had been water, what volume would it have had?
Water should have a density of about 1 g/cm3. For 100, 50, or 25 mL, this is accurate.
Pour water into a graduated cylinder, measure the volume, submerge the object, and measure the volume again. The volume of the object is the difference between the two volume measurements. To determine the object's density, just divide the mass by the volume. At 25 °C, pure water has a concentration of 55.5 M (mol/L). H+ and OH- ions are ionized to a minor extent. Electrical conductivity studies show that the equilibrium constant, also known as the dissociation constant, is 1.8 10-16 M at 25 °C.
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the density of aluminum is 2.7 g/cm3. an aluminum plate of uniform thickness is 10cm length, 20cm wide, and weigh 0.270kg. how thick is the aluminum plate?
Aluminium Plate, Material Grade: 5052, Thickness: 2mm-10mm.
How thick is the aluminum plate?
0.050" for anything that needs to retain it's shape or needs a lot of working to get where you want it (basically all exterior body panels).For the Standard Grade, the minimum wall thickness you can use is 1 mm; for the Performance Grade, the minimum wall thickness is 0.5 mm. However, the applicable minimum wall thickness might vary as it depends, amongst other factors, on the part's geometry and size.The minimum thickness of the end plate in the case of S235 and 8.8 [mm] The moment resistance of beam-to-column connections is frequently utilised in steel structures.Aluminum is weaker than steel but thickness will add strength. E modulus is the number against bending, Steel 210 and Aluminum 70. Thickness adds a lot resistance to bending to the cube so a 4,5mm aluminum plate is as strong as steel.To learn more about aluminum refers to:
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as an astronomer observes an object in space that has an irregular shape, that orbits the sun in a highly elliptical orbit, and that is made of ice and rock. which object is the astronomer most likely observing?
An astronomer sees an irregularly shaped, ice-and-rock object orbiting the sun in a highly elliptical orbit. Astronomers are most likely to observe comets. Thus, B is the correct option.
Comets are made of ice and rock, and they have irregular shapes. They also orbit the sun in highly elliptical orbits, meaning that their distance from the sun changes greatly over time. Unlike asteroids, which are usually made of rock or metal and have a more spherical shape, comets are known for their bright, glowing tails that result from the sublimation of ice as they near the sun.
Unlike meteoroids, which are small, rocky or metallic objects that can burn up in the Earth's atmosphere, comets are much larger and remain intact as they orbit the sun.
Options should be provided along with this question:
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Answer: Hes observing a comet.
Explanation: Comets are small, irregularly shaped bodies in the solar system composed mainly of ice and dust that typically measure a few kilometers across. They travel around the sun in very elliptical orbits that bring them very close to the Sun, and then send them out past Neptune.
Comets are cosmic snowballs of frozen gases, rock, and dust that orbit the Sun. When frozen, they are the size of a small town. When a comet's orbit brings it close to the Sun, it heats up and spews dust and gases into a giant glowing head larger than most planets.
suppose and 46 mm, then what is the value of ? express your answer in milli-coulombs per square meter (10-3 c/m2) to one place after the decimal. don't forget the minus sign if the answer is negative.
The electric field strength is 0.046 C/m2, or 0.046 x 10-3 C/m2, or 0.046 mC/m2, at a distance of 46 mm (to one place after the decimal).
Calculate the electric field strength (E) at a distance of 46 mm using the formula
E=V/d, where V is the voltage and d is the distance.
E = V/d = (46 mm)/(1000 mm)
E = 0.046 V/m
Convert this electric field strength to milli-coulombs per square meter (10-3 c/m2) using the formula E=q/A, where q is the charge and A is the area.
We can assume that the area is 1 m2, and q is the electric field strength (0.046 V/m) multiplied by one coulomb, which is 1 C.
Therefore, q = (0.046 V/m) x (1C) = 0.046 C.
Calculate the electric field strength using the formula E = q/A.
E = q/A = (0.046 C)/(1 m2) = 0.046 C/m2
Convert the electric field strength to milli-coulombs per square meter (10-3 c/m2).
The electric field strength at a distance of 46 mm is 0.046 C/m2, which is equivalent to 0.046 x 10-3 C/m2, or 0.046 mC/m2 (to one place after the decimal).
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a ball is thrown in a horizontal direction from the roof of a building with an initial speed of 20 m/s. the ball strikes the ground 120 m from the base of the building as shown. how high is the building?
The ball is thrown in a horizontal direction from the roof of a building with an initial speed of 20 m/s. The ball strikes the ground 120 m from the base of the building. The height of the building is 180m.
The horizontal distance the ball travels before touching the ground, x= 120m. The initial speed with which the ball is thrown is u=20 m/s. So the time is taken by the ball to reach the ground, t= x/u =120/20 =6 secs.
Now, t=6 secs is the time taken by the ball to reach the ground. So the height of the building is given by the equation, h= ut+1/2gt², where u is the initial speed in the vertical direction and g is the acceleration due to gravity and its value is g= 10m/s². The initial speed in the vertical direction is 0m/s. So, h= 1/2gt² , =1/2×10×6×6 =180m.
So the height of the building is 180m.
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what are (a) the kinetic energy, (b) the rest energy, and (c) the total energy of a 1.10 g particle with a speed of 0.800 c ?
Answer:
(a) The kinetic energy of a 1.10 g particle with a speed of 0.800 c can be calculated using the equation KE = (1/2)mv^2, where m is the mass of the particle and v is its velocity. In this case, the mass of the particle is 1.10 g and the velocity is 0.800 c, so the kinetic energy would be:
KE = (1/2) * (1.10 * 10^-3 kg) * (0.800 * 3 * 10^8 m/s)^2
(b) The rest energy of a particle is the energy it has when it is at rest. According to the equation E=mc^2, where E is the energy, m is the mass, and c is the speed of light. In this case, the rest energy would be:
E = (1.10 * 10^-3 kg) * (3 * 10^8 m/s)^2
(c) The total energy of a particle is the sum of its kinetic energy and rest energy. Thus,
Total energy= kinetic energy + rest energy
a 0.30-kg ball is attached at the end of a 0.90-m-long stick. the ball and stick rotate in a horizontal circle. because of air resistance and to keep the ball moving at constant speed, a continual push must be exerted on the stick, causing a 0.036 nm torque. determine the magnitude of the resistive force that the air exerts on the ball opposing its motion.
The applied torque = air resistance torque =0.036 (N/M)
What is the magnitude of the resistive force?In order for the ball to rotate at constant speed, the total torque on it should be zero (from Newton’s second law).
Then, the applied torque = air resistance torque =0.036 (N/M)
The equation F=arv+br2v2 expresses the amount of the resistive force (in newtons) exerted by a stream of air traveling at speed v (in meters per second) on a sphere of radius r (in meters), where a and b are constants with suitable SI units.
The resistive force exerted on a body moving with velocity V through a fluid at rest is given by F = CoV2 Ap, where CD denotes the coefficient of drag and A denotes the area of cross-section perpendicular to the direction of motion.
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A permanent test instrument is a device that is installed in a process or at a bench to continually measure and display quantities.
True False
The given statement 'A permanent test instrument is a device that is installed in a process or at a bench to continually measure and display quantities' is true.
A measuring instrument is a device used to measure a physical amount. Measurement, in the physical sciences, quality control, and engineering, is the process of gathering and contrasting the physical amounts of things that actually happen in the real world. As units, pre-defined standard things and occurrences are used, and the measuring procedure yields a number that connects the subject-matter under investigation to the used unit of measurement. These numerical relationships are attained through the employment of measuring devices and formal test methodologies that specify the device's use.
The instrument error and measurement uncertainty that affect all measuring devices varies in severity. From basic tools like stopwatches and rulers to electron microscopes and particle accelerators, these instruments can be used for various purposes.
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Where is the acceleration negative?
A. B-D
B. C-E
C. A-B
D. D
the answers is bce because I di that before
Using this relationship, what is the position of the bowling ball at times t = 4.0s and t = 8.0s? a. x(4.0 s) = 5.0 m and x(8.0 s) = 15m b. x(4.0 s) = = 15m and x(8.0 s) = 25 m c. x(4.0 s) = = -17.5m and x(8.0 s) = -37.5m d. x(4.0 s) = 10 m and x(8.0 s) = 20m
Using this relationship, the position of the bowling ball at times t = 4.0s and t = 8.0s is x(t=4s) = 5m and x(t=8s) = 15m.
Given the initial time (t1) = 4s
The final time (t2) = 8s
The relationship is taken as: x0(t) = v0 x t + x
where x0 is the position at particular time, v0 is the velocity = 2.5 and x = -5m which is the initial distance of the object from origin.
So, at time t1 the position of object is taken as:
x0(t = 4s) = 2.5 x 4 -5
x0(t = 4) = 5m
Similarly, at time t2 the position of object is taken as:
x0(t = 8s) = 2.5 x 8 - 5
x0(t = 8) = 15m
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the scientist, who invented the first incandescent light bulb and who, at one point, had a monopoly on the electrical power delivery was ______.
1. Wilhelm Roentgen
2. George Westinghouse
3. Thomas Edison
4. Relay Switch
Thomas Edison invented the first incandescent light bulb and, at one point, had a monopoly on the electrical power delivery. Correct option is 3.
Thomas Edison was an American inventor and businessman who is best known for his development of the incandescent light bulb. He began working on the light bulb in 1878 and by 1879, he had developed a bulb that could burn for several hours. Edison went on to improve the design of the bulb and also developed a system for delivering electrical power to homes and businesses, which he called the Edison Electric Light Company.
At its height, the Edison Electric Light Company held a monopoly on the electrical power delivery industry, which allowed Edison to control the distribution of electrical power to homes and businesses. This monopoly lasted for several years until the arrival of competitors, such as George Westinghouse, who developed an alternative system for delivering electrical power.
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(a)
Figure 1 shows a spanner being used to tighten a nut.
Figure 1
25 cm
20 cm
200 N
Calculate the moment being applied to the nut in the figure.
Give your answer in newton metres (Nm).
15 cm
If a 15 cm long spanner is subjected to a 5.0 N force, the resultant moment of force is 0.75 Nm.
What is the moment calculation equation?Using the equation, we can determine the moment of a force. Motion equals The force is doubled by the perpendicular distance to the pivot.If a 15 cm long spanner is subjected to a 5.0 N force, the resultant moment of force is 0.75 Nm.The radius of the pulley, which is the distance from the rotating axis, is multiplied by the force (F) to determine load torque (r). The needed torque for the application is 20 N x 0.05 m = 1 Nm when the radius of the pulley is 5 cm distant and the mass of the load (blue box) is 20 Newtons.To learn more about moment of force refer to:
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help!!! Richard has just completed his science experiment, and collected all of the data. What is the next step that Richard needs to complete?
a.recognize a problem
b.form a hypothesis
c.analyze results
d.background research
Richard has just completed his science experiment, and collected all of the data. Analyse results is the next step that Richard needs to complete.
Option C is correct.
How are outcomes analyzed?The data must be carefully examined in this step before any conclusions can be drawn. Richard can make further observations, refine the hypothesis, and draw conclusions about the experiment with the information he has obtained from analyzing the results.
What does scientific method entail?Through observation, experimentation, and analysis, the scientific method is a methodical approach to answering questions and finding solutions to problems. To further refine and validate the hypothesis, the steps can be repeated multiple times because they are iterative and adaptable.
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name the phenomenon in which the colors of light depend on the viewing angle
Iridescence is the name of the phenomena in which the colors of light depend on the viewing angle.
Iridescence is also known as goniochromism. It is an optical phenomenon in which color of the surface appears to change with the different angle of observation. In this certain types of surfaces that appear to gradually change their colors as the viewing angle or the angle of illumination changes.
Some examples of iridescence include feathers, soap bubbles, seashell nacre, and butterfly wings and minerals such as opal. This effect takes place due to the wave interference of light in microstructures or thin films.
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a car sitting at a red light begins to accelerate at 2.0 m/s2 m / s 2 when the light turns green. it continues with this acceleration until it reaches a speed of 20 m/s m / s . it then travels at this speed for another few minutes. how far does the car travel in the first 42 s s after the light changes to green?
The car travel 740m in the first 42 s after the light changes to green
To calculate the distance traveled by the car in the first 42 seconds after the light turns green, we need to consider two stages of motion: acceleration and constant velocity.
1. During the acceleration phase, the car's speed increases linearly with time, so we can use the equation:
v = v0 + at
where v is the final speed, v0 is the initial speed (0 m/s in this case), a is the acceleration (2.0 m/s^2), and t is the time elapsed. To find the time when the car reaches a speed of 20 m/s, we can solve for t:
t = (v - v0) / a = (20 m/s - 0 m/s) / 2.0 m/s^2 = 10 s
So, the car is accelerating for the first 10 seconds.
2. During the acceleration phase, the car's position changes according to the equation:
x = x0 + v0t + (1/2)at^2
where x is the final position, x0 is the initial position (0 m), and t is the time elapsed. We can use this equation to find the distance traveled by the car during the first 10 seconds of acceleration:
x = 0 m + 0 m/s * 10 s + (1/2) * 2.0 m/s^2 * 10 s^2 = 100 m
3. During the constant velocity phase, the car's position changes according to the equation:
x = x0 + v0t + vt
where x is the final position, x0 is the initial position (the position at the end of the acceleration phase, which was 100 m), v0 is the initial velocity (20 m/s), and v is the constant velocity (20 m/s). To find the distance traveled by the car during the first 42 seconds (10 seconds of acceleration and 32 seconds of constant velocity), we can use this equation:
x = 100 m + 20 m/s * 32 s = 100 m + 640 m = 740 m
So, the car travels a total distance of 740 m in the first 42 seconds after the light turns green.
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a stationary object explodes, breaking into piece three pieces with the masses m, m, and 3m. the two pieces of the mass m move off at right angles to each other with the same magnitude of velocity. what are the magnitude and direction of the velocity of the piece having a mass 3 m.
The magnitude of the velocity of the piece having mass 3m is three times the velocity of the pieces having mass m.
The direction of the velocity of the piece having mass 3m is at an angle of 90 degrees to the direction of velocity of the pieces having mass m.
When the two pieces of mass m move off at right angles to each other, their momentum vectors cancel each other out. This means that the total momentum of the system must remain the same, so the third piece of mass 3m must move in a direction at 90 degrees to the direction of the two pieces of mass m.
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Samantha builds a lever to lift objects in a science experiment. The load arm is 0.4 meters. If she wants the lever to have a mechanical advantage of 8, how long should the effort arm be?
The effort arm of the lever should be 3.4 meter long to have a mechanical advantage of 8.
What is mechanical advantage?The force amplified by utilizing a tool, mechanical device, or machine system is known as mechanical advantage.
To achieve the desired output force amplification, the gadget trades off input forces against movement. The law of the lever serves as a paradigm for this.
mechanical advantage of a lever = 8
Hence,
mechanical advantage of a lever = effort arm/load arm
Effort arm of a lever = Mechanical advantage × load arm
= 8 × 0.4 m
= 3.2 m.
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a 1.6-cm-diameter brass sphere has been given a charge of 2 nc. what is the electric field strength at the surface of the sphere?
The electric field strength at the surface of the sphere is calculated to 45 × 10⁴ C.
The diameter of the conducting sphere is d = 1.6 cm.
The radius of the conducting sphere will be
r = d/2 = (1.6 × 10⁻²)/2 = 0.8× 10⁻² m
The charge on the sphere is q = 4 nC = 4 × 10⁻⁹ C
The force on the surface due to the charge is,
F = 1/(4π∈₀) × q/r² = [(9×10⁹)× 4 × 10⁻⁹]/(0.8 × 10⁻⁴) = 45 × 10⁴ C
So, the surface electric field strength will be 45 × 10⁴ C
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You break a piece of Styrofoam packing material, and it releases lots of little spheres whose electric charge makes them stick annoyingly to you. If two of the spheres carry equal charges and repel with a force of 22 { mN} when they're 16 { mm} apart, what's the magnitude of the charge on each?
The magnitude of the charge on each sphere is 1.51 x 10^-7 C.
The magnitude of the charge on each sphere can be calculated using Coulomb's law:
F = k * q1 * q2 / r^2
where F is the force of repulsion, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q1 and q2 are the magnitudes of the charges on the spheres, and r is the separation distance between the spheres.
Rearranging the equation to solve for the charge:
q = sqrt(F * r^2 / k)
Substituting the given values:
q = sqrt(22 * 10^-3 N * 16 * 10^-3 m^2 / 8.99 * 10^9 Nm^2/C^2) = 1.51 x 10^-7 C.
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thermal energy is added to 150 g of water at the rate of 55 j/s for 2.5 min. how much does the temperature of the water increase ?
If thermal energy is added to 150 g of water at a rate of 55 J/s for 2.5 minutes, the temperature of the water will increase by 6.58°C, as calculated using the equation for specific heat capacity.
To determine the increase in temperature of 150 g of water when thermal energy is added at a rate of 55 J/s for 2.5 minutes, we need to calculate the amount of heat energy added to the water and use this to determine the increase in temperature.
The amount of heat energy added to the water can be calculated as follows:
Q = 55 J/s * 2.5 min * 60 s/min = 6675 J
Next, we can use the equation for specific heat capacity to determine the increase in temperature of the water:
ΔT = Q / (mass * specific heat capacity)
where ΔT is the increase in temperature, Q is the heat energy added, mass is the mass of water (150 g), and specific heat capacity is the amount of heat energy required to raise the temperature of 1 g of water by 1°C (usually around 4.18 J/g°C).
Substituting in the values, we have:
ΔT = 6675 J / (150 g * 4.18 J/g°C) = 6.58°C
So the temperature of the water would increase by 6.58°C.
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possible mountain wave turbulence could be anticipated when winds of 40 knots or greater blow
Mountain wave turbulence can occur when winds reach 40 knots or higher.
Mountain wave turbulence is a type of turbulence that can occur when strong winds blow over mountains or other obstructions. The wind creates a wave-like pattern in the atmosphere, which can cause turbulence for aircraft flying through it.
This turbulence can range from mild to severe and can make flying challenging and potentially dangerous. To anticipate the possibility of mountain wave turbulence, it is important to monitor wind conditions and pay attention to wind speeds.
If winds are 40 knots or higher, there is an increased likelihood of mountain wave turbulence and it is important for pilots to take precautions and plan their flight accordingly.
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When you enter cos(30°) into your calculator, you get the answer of 0.5 and when you enter into your calculator cos(-30°) you still get 0.5. Explain to the best of your ability why you think you get the same answer even though the angle you enters is different?
Answer:
The reason why you get the same answer when you enter cos(30°) and cos(-30°) into your calculator is because cosine is a periodic function, which means that the same value is repeated after a certain interval. In the case of cosine, the interval is always 360°, so cos(30°) and cos(-30°) are equivalent because they are both equal to 30° away from 0°. Therefore, they both have the same value, which is 0.5.
object a, which has been charged to 4.0 nc is at the origin. object b, which has been charged to − 8.0 nc , is at (x,y)=( 0.0 cm , 2.0 cm).
Part A) What is the magnitude of the electric force on object A?
Part B) What is the magnitude of the electric force on object B?
Part C) What is the direction of the electric force on object A?
Part D) What is the direction of the electric force on object B?
The magnitude of the electric force on object A and on object B is -7.23 × 10⁻⁴ N, and the direction of the electric force on object A is towards the charge B, and the direction of the electric force on the object B is towards the charge A.
Charge A, q₁ = 4.0 × 10⁻⁹ C
Charge B, q₂ = -8.0 × 10⁻⁹ C
Distance between the charge, r² = (0 - 0)² - (2 - 0)²
r = √(4)
r = 2 cm = 0.02 m
Permittivity of free space ε₀ = 8.8 × 10⁻¹² Far/m
The force between two charge object, F = q₁q₂/(4πε₀r²)
F = (4.0 × 10⁻⁹ × -8.0 × 10⁻⁹)/(4 × 3.14 × 8.8 × 10⁻¹² × 0.02²)
F = -7.2 × 10⁻⁴ N
Since opposite charges attracts each other, so the direction of force will be towards each other.
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