Answer:
a) d = 12 km, d = 0, b) v = 0.4 km / min, v = 0, c) v = 0
Explanation:
This problem asks to find the distance and the displacement. We must emphasize that the distance is a scalar and the displacement is a vector quantity
In the exercise, the bold letters indicate vectors
a) Let's find the total distance of the trip
d = d₁ + d₂
where d₁ is the distance to get to the flowers and d₂ is the distance to return to the hive from the flowers
d₁ = d₂ = 6 km
d = 12 km
we look for the displacement that is a vector quantity
d = d₁ - d₂
since the second displacement is in the opposite direction of the first
d = 0
b) the average speed of the trip, again this magnitude is a scalar
v = d / t
distance is d = 12 km t total time is t = 15 + 15 = 30 min
v = 12/30
v = 0.4 km / min
average velocity (vector) of the entire travel, in that case the displacement is zero
v = 0
c) If the path is not a straight line but the time is the same, the average speed cannot be calculated since it lacks the distance value
In the same case to calculate the average velocity that is a vector, it will be zero since the net displacement is zero
v = 0
. You are a lifeguard at a local swimming pool. To ensure the safety of the swimmers, you need to know how much force is required to rescue a swimmer in distress. You also need to calculate the pressure that is exerted on the swimmer's body as they are pulled out of the water. If the swimmer weighs 60 kg, what is the force required to rescue them? If the area of the contact between the swimmer and the water is 0.5 m^2, what is the pressure exerted on their body? (Units: force - newtons (N), pressure - pascals (Pa), mass - kilograms (kg), area - square meters (m^2))
The force required to rescue in the swimming pool with a mass of 60 kg is 588N and the pressure exerted in the area of 0.5 m² is 1.176×10³Pa.
Force is defined as the push or pull of an object. Force equals the product of the mass and acceleration of the object. Acceleration is defined as the rate of change of velocity per unit time. The force also equals the rate of change of momentum per unit of time. The unit of force is Newton (N).
Pressure is defined as the force applied perpendicular to the surface area. It equals the ratio of force per unit area and the unit of pressure is Pascal (Pa).
From the given,
mass of the swimmer's body (m) = 60 kg
Acceleration. due to gravity (g) = 9.8m/s²
area (A) = 0.5 m²
Force, F = m×a
F = 60×9.8
= 588 N
The force to rescue the swimmer's body is 588N.
Pressure = Force/Area
= 588 / 0.5
= 1176 Pa
= 1.176×10³Pa
The pressure exerted on the body is 1.176×10³Pa.
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2. How much time will it take to move 120 m if an object
moves 300 m/s?
Answer:
2.5 seconds
Explanation:
Time is equal to distance over speed
300 divide by 120 u get 2.5 seconds
Convert 277.01 pm to cm (use scientific notation).
277.01 picometers is equivalent to 2.7701 × 10-⁸ centimetres in scientific notation. Details about how to convert picometers to centimetres can be found below.
How to convert picometers to centimetres?Picometers is the SI unit of length that is equal to 10−¹² meters.
On the other hand, centimetres is another S.I unit of length that is equal to 10-² metres.
The conversion factor of picometers to centimetres is as follows:
1 picometre = 1 × 10-¹⁰ centimetres
277.01 picometers is equivalent to 2.7701 × 10-⁸ centimetres
Therefore, 277.01 picometers is equivalent to 2.7701 × 10-⁸ centimetres in scientific notation.
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Select the answer that combines
the following sentences using a
subordinate conjunction.
The gun hit the floor. The gun
discharged.
A. The gun hit the floor, so it discharged.
B. As soon as the gun hit the floor, it discharged.
C. The gun hit the floor, and it discharged. Need an answer
The correct use of subordinate conjunction is "As soon as the gun hit the floor, it discharged." The correct option is B.
A subordinate conjunction is a type of conjunction that connects two clauses in a sentence, making one clause dependent on the other. It establishes a relationship of dependence or subordination between the clauses.
Option A (The gun hit the floor, so it discharged) implies a cause-and-effect relationship, which may not be accurate in this case. The gun hitting the floor does not necessarily mean it will discharge.
Option C (The gun hit the floor, and it discharged) presents the two actions as separate events that happened sequentially but does not establish a clear cause-and-effect relationship between them.
Therefore, Option B (As soon as the gun hit the floor, it discharged) effectively connects the two events with a subordinate conjunction "as soon as," indicating that the discharge immediately followed the gun hitting the floor. This option provides a logical and temporal connection between the two actions.
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A ray of light incident on one face of equilateral glass prism is refracted in such a way that it emerges from opposite surface at an angle of 90 to the normal. Calculate the angle of incidence
Answer:
i ≅ \(28^{0}\)
Explanation:
Let the angle of incidence be represented by i, angle of emergence be represented by e, and angle of refraction by r.
Snell's law states that;
n = \(\frac{sin i}{sin r}\) ................ 1
where n is the refractive index of the prism.
Given that emergence = \(90^{0}\)
But from a ray diagram for the given question, we have;
\(60^{0}\) + (\(90^{0}\) - r) + (\(90^{0}\) - \(r^{I}\)) = \(180^{0}\) (sum of angles in a triangle) .................. 2
(\(90^{0}\) - r ) + (\(90^{0}\) - \(r^{I}\) ) = \(180^{0}\) - \(60^{0}\)
180° - (r + \(r^{I}\)) = \(180^{0}\) - \(60^{0}\)
r + \(r^{I}\) = \(60^{0}\)
⇒ r = \(60^{0}\) - \(r^{I}\) ........................ 3
The refractive index of the equilateral prism = 1.5.
Applying Snell's law to the refracting surface,
\(\frac{sinr^{I} }{sin e}\) = \(\frac{1}{n}\)
\(\frac{sinr^{I} }{sin 90^{0} }\) = \(\frac{1}{1.5}\)
⇒ \(r^{I}\) = \(41.81^{0}\)
From equation 3,
r = \(60^{0}\) - \(r^{I}\)
r = \(60^{0}\) - \(41.81^{0}\)
r = \(18.19^{0}\)
So that ;
n = \(\frac{sin i}{sin r}\)
1.5 = \(\frac{sin i}{sin18.19^{0} }\)
sin i = 0.4683
i = \(27.92^{0}\) ≅ \(28^{0}\)
Complete the Aristotle quote:
"States of character arise from ______________."
A state of character arises from the repetition of similar activities
Aristotle was a renowned scientist and philosopher. He has made significant contributions to society. He is renowned for his quotable sayings as well. Because of the correlation between the states of character and the distinctions between them, the behaviors we display must be of a specific type. States of character: The traits that "allow us to stand well or poorly in relation to the passions." Because: We are not commended and criticized only for having the ability to feel pleasure, grief, etc., virtues are not capacities.
Here in this quote, similar behaviors give birth to similar states of character
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Oil-water separation is a very important process in petroleum engineering, as well as in industries that produces oily wastewater and other oil-water pollution. The basic process of oil-water separation is illustrated in the figures below. From left to right, the figures show a simple emulsion in which dispersed (Dutch: verspreidt) oil droplets in water coalesce (come together to form one mass) as time passes. Assume that the number of oil droplets decreases with time (in minutes) following the equation: ൌ െ0.02 a) Calculate how long it takes for half of the oil droplets to coalesce. (3p) b) How long will it take for practically all the oil droplets to coalesce? (2p) c) Provide a sketch of the number of oil droplets as function of time in the oily water. Add relevant values along the axis. (1p) To speed up the process of coalescence, a chemical component (surfactant) is added to the oily water. Assume that now the number of oil droplets decreases with time following the equation: ൌ െ0.02ଶ d) After adding the surfactant to the mixture, can the process still be considered a natural process? Explain. (1p) e) Show that, after adding the surfactant to the oil-water mixture, less time is needed for half of the oil droplets to coalesce. (
The time required for half of the oil droplets to coalesce is 34.65 minutes.b) Calculation to find how long it takes for practically all of the oil droplets to coalesce:To find the time it would take for practically all of the oil droplets to coalesce, we need to use the following formula and solve for time when n is equal to 0.0 = e^(-0.02t)-infinity = -0.02tNo oil droplets remain after an infinite amount of time. Therefore, it takes an infinite amount of time for all the oil droplets to coalesce.Answer: It takes an infinite amount of time for all the oil droplets to coalesce.
Sketch:We need to sketch the number of oil droplets as a function of time in the oily water. The axis should contain relevant values. As the oil droplets coalesce, the number of oil droplets decreases with time. This is shown by the line in the graph below.Answer: The figure is attached below. The x-axis shows the time in minutes, and the y-axis shows the number of oil droplets present. After adding the surfactant to the mixture, can the process still be considered a natural process? Explain. When a chemical component such as a surfactant is added to the oily water, the oil droplets are artificially made to coalesce. As a result, the process is no longer a natural one because it has been modified by human intervention. Answer: No, the process can no longer be considered natural, because a surfactant was added to the oily water to speed up the coalescence of the oil droplets. Show that less time is needed for half of the oil droplets to coalesce after adding the surfactant to the oil-water mixture. In order to find how long it takes for half of the oil droplets to coalesce after adding the surfactant, we will utilize the new equation that incorporates the surfactant.0.5 = e^(-0.02x)ln(0.5) = -0.02x17.32 minutes = xAnswer: After the addition of the surfactant, it only takes 17.32 minutes for half of the oil droplets to coalesce. This is less time than the original 34.65 minutes that it took before the surfactant was added.For such more question on coalesce
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13. As shown in the diagram, a positively charged particle moves to the right without deflection through a
pair of charged plates. Between the plates are a uniform electric field E of magnitude 6.0 N/C and a
uniform magnetic field B of magnitude 2.0 T. What is the direction of the magnetic field?
A) Up the page
B) Down the page
C) Into the page
D) Out of the page
A 75.0 kg man pushes on a 500,000 kg wall for 250 s but it does not move.
a. How much work does he do on the wall? ____________
b. How much energy is used?__________
c. How much power is exerted?____________
Since no work is done, the power exerted is zero. Therefore, the man exerts no power on the wall.
What is force?In physics, force is defined as any action that can change the motion of an object or cause an object to accelerate. Force is a vector quantity, meaning that it has both magnitude (size or strength) and direction. The unit of force in the International System of Units (SI) is the Newton (N), which is defined as the amount of force required to accelerate a mass of one kilogram at a rate of one meter per second squared (1 N = 1 kg × 1 m/s^2). Force can be measured using a variety of instruments, such as spring scales, strain gauges, or force plates. Some common types of forces include gravitational force, electromagnetic force, frictional force, and normal force. The study of forces and their effects on the motion of objects is known as mechanics and is a fundamental concept in physics.
Here,
a. The man does not do any work on the wall because the wall does not move. Work is only done when there is a displacement in the direction of the force applied.
b. Since no work is done, no energy is used or transferred.
c. The power exerted by the man can be calculated using the formula:
Power = Work / Time
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which of the following best describe the weather conditions at location B
The best description on the weather conditions at location A and B is :It is warmer at position A than at position B.
Therefore Option (D) is correct
What is meant by weather conditions?Weather condition is described as the regional weather during a defined time period from one up to several weeks describing typical weather phenomena, such as a series of thunderstorm in hot summer, foggy month in autumn or other weather conditions which are typical for a specific region and/or season.
From the given image, a warm front is being shown. Here, the region comprising letter A is the warm zone and the region above the front comprising the letter B indicates a cold zone. The position A forms a low-pressure zone, so it is comparatively warmer than the position B.
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#complete question:
Which of the following statements best describes the weather conditions at positions A and B shown below?
A. It is raining at position A and clear at position B.
B. It is cloudy at position A and clear at position B.
C. It is cooler at position A than at position B.
D. It is warmer at position A than at position B.
Which factors affect the gravitational force between two objects?
-
distance and velocity
O mass and distance
O mass and weight
acceleration and weight
TELE
Answer:
mass and distance
Explanation:
mass, and distance. The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them.
Convert 4 centimeters to meters using dimensional analysis and USE SCIENTIFIC NOTATION. (if you dont your answer is getting one star and reported). Please go step by step as I am having difficulty with this subject. Best answer get Brainliest
Answer:
\(thank \: you\)
Question:-
Convert 4cm to m
Solution:-
Lets do
First note down the below formula
\(\boxed{\sf 1m=10^{2}cm}\)
Then
\(\boxed{\sf 1cm=10^{-2}cm}\)
Now we are given 4cm
So convert
\(\\ \sf\longmapsto 4\times 10^{-2}m\)
If we simplify to decimal
\(\\ \sf\longmapsto 4cm=0.04m\)
Hence done .
A 6.0-kg rock is dropped from a height of 9.0 m. At what height is the rock's kinetic energy twice its potential energy?
Answer:
When the rock is dropped from a height of 9.0 m, its initial potential energy is given by
PE = mgh = (6.0 kg)(9.8 m/s^2)(9.0 m) = 534 J
We can solve for the height at which the kinetic energy of the rock is twice its potential energy by setting the kinetic energy equal to twice the potential energy and solving for h.
KE = 1/2 mv^2 = (1/2)(6.0 kg)(v^2)
2 * PE = 2 * (6.0 kg)(9.8 m/s^2)(h)
Substituting and solving for h yields
h = 15 m
krichoffs law of current questions
Answer:
Explanation:
Kirchhoff's Current Law, often shortened to KCL, states that “The algebraic sum of all currents entering and exiting a node must equal zero.
#I AM ILLITERATE
NaCl solid is an example of a/an
A. Insulator
B. Conductor
OC. Nonmetal
D. Metalloid
an ac generator is connected across the terminals of a 3.25-µf capacitor. determine the frequency at which the capacitive reactance is 375 ω.
The frequency at which the capacitive reactance is 375 ω and the Capacitance of 3.25 μF is 131 s⁻¹.
Capacitance is the ability or capacity of the substance to collect and store electrical energy and the unit of capacitance is Farad (F). Capacitive reactance is the term that measures the opposition to current flow in the AC circuits and the unit of capacitive reactance is the ohm(Ω).
From the given,
The capacitive reactance (Xc) = 375ω
capacitance (C) = 3.25μF
capacitive reactance Xc = 1/(2π×f×C)
Frequency (f) = 1/(2π×Xc×C)
= 1/(2×3.14×375×3.25×10⁻⁶)
= 131 s⁻¹.
Thus, the frequency of the capacitive reactance is 131 s⁻¹.
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explain the washing effects of detergents of soap and why detergents in warm water washes greasy clothes even better
Answer:
Soaps and detergents are made from long molecules that contain a head and tail the detergent molecules also help to make the washing process more effective by reducing the surface tension of the water. Surface tension is the force which helps a blob of water on a surface hold its shape and not spread out.
Answer:
Soaps and detergents are made from long molecules that contain a head and tail. ... The detergent molecules also help to make the washing process more effective by reducing the surface tension of the water. Surface tension is the force which helps a blob of water on a surface hold its shape and not spread out.
Explanation:
hello
If a maserati. with a belocity of 6 m/s E, accelerates at a rate of 85 m/s^2 for 5 seconds, what will its velocity be?
The final velocity of the Maserati after accelerating at the rate of 85 m/s² for 5 seconds is 431m/s.
How to calculate the final velocity a moving object?From the first equation of equation of motion, final velocity is the sum of the initial velocity and the product of acceleration and time.
It is expressed as;
v = u + at
Where v is final velocity, u is initial velocity, a is acceleration and t is time elapsed.
Given the data in the question;
Initial velocity u = 6m/sAcceleration a = 85m/s²Elapsed time t = 5sFinal velocity v = ?Plug the given values into the first equation of motion and solve for v.
v = u + at
v = 6m/s + ( 85m/s² × 5s )
v = 6m/s + 425ms/s²
v = 6m/s + 425m/s
v = 431m/s
The final velocity of the Maserati after accelerating at the rate of 85 m/s² for 5 seconds is 431m/s.
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Tarzan, whose mass is 75 kg, is running from a cheetah. Tarzan is moving at 5 m/s when he grabs onto a hanging vine. How high off the ground does Tarzan swing ?
Answer:
Explanation:
His Kinetic energy = 1/2 m v^2
v = 5 m/s
m = 75 kg
Ke = 1/2 75 * 5^2
Ke = 937.5 Joules
This will be converted to PE when he reaches the maximum height he reaches. In other words KE = PE
PE = m * g * h
m = 75
g = 9.81
h = ?
PE = 937.5
937.5 = 75 * 9.81 * h
937.5 = 735.75 * h
937.5/735.75 = h
h= 1.27 meters
The kinematic viscosity of oxygen at 40 °C and a pressure of 160 kPa is 0.104 stokes. Determine the dynamic viscosity of the oxygen at this temperature and pressure. (Ro₂ = 0.2598 kPa.m³/kg.K)
The dynamic viscosity of oxygen at 40°C and 160 kPa is 64.17 × 10⁻⁶ Pa.s.
The dynamic viscosity of a fluid is equal to its kinematic viscosity multiplied by its density.
Given:
Kinematic viscosity of oxygen at 40°C and 160 kPa = 0.104 stokes
Density of oxygen at 40°C and 160 kPa = (160000 Pa / 0.2598 kPa.m³) = 616.55 kg/m³ (using ideal gas law)
Using the formula:
Dynamic viscosity = Kinematic viscosity * Density
We get:
Dynamic viscosity of oxygen = 0.104 stokes * 616.55 kg/m³ = 64.17 × 10⁻⁶ Pa.s
Therefore, the dynamic viscosity of the oxygen at 40°C and 160 kPa is 64.17 × 10⁻⁶ Pa.s.
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Which of the following describes the role of C6H12O6 in the Calvin cycle?
Answer:
C6H12O6 is the final product of Calvin cycle light independent reactions
Explanation:
* steps in Calvin cycle
: carbon fixation
: reduction
: regeneration
for C6H12O6 it requires 2 molecules of PGAL or G3P
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A train slows down as it rounds a sharp horizontal turn, going from 88.0 km/h to 52.0 km/h in the 18.0 s that it takes to round the bend. The radius of the curve is 120 m. Compute the acceleration at the moment the train speed reaches 52.0 km/h. Assume the train continues to slow down at this time at the same rate.
Answer:
The acceleration at the moment the train speed reaches 52 kilometers per hour is approximately 1.826 meters per square second.
Explanation:
According to Rotational Physics, the total acceleration of the train rounding the horizontal turn is a combination of tangential (\(a_{t}\)) and radial accelerations (\(a_{r}\)), measured in meters per square second. The former one represents the change in the magnitude of the velocity, whereas the latter one represents the change in its direction. By definition of magnitude and Pythagorean Theorem we get that magnitude of total acceleration (\(a\)), measured in meters per square second, is:
\(a = \sqrt{a_{r}^{2}+a_{t}^{2}}\) (Eq. 1)
Magnitudes of tangential and radial accelerations are determined by using the following formulas:
\(a_{t} = \frac{v_{f}-v_{o}}{t}\) (Eq. 1)
\(a_{r} = \frac{v_{f}^{2}}{R}\) (Eq. 2)
Where:
\(v_{o}\), \(v_{f}\) - Initial and final speeds, measured in meters per second.
\(t\) - Time, measured in seconds.
\(R\) - Radius, measured in meters.
If we know that \(v_{o} = 24.444\,\frac{m}{s}\), \(v_{f} = 14.444\,\frac{m}{s}\), \(t = 18\,s\) and \(R = 120\,m\), then the magnitude of the total acceleration when the train speed reaches 52 kilometers per hour is:
\(a_{t} = \frac{14.444\,\frac{m}{s}-24.444\,\frac{m}{s} }{18\,s}\)
\(a_{t} = -0.556\,\frac{m}{s^{2}}\)
\(a_{r} = \frac{\left(14.444\,\frac{m}{s} \right)^{2}}{120\,m}\)
\(a_{r} = 1.739\,\frac{m}{s^{2}}\)
\(a = \sqrt{\left(-0.556\,\frac{m}{s^{2}} \right)^{2}+\left(1.739\,\frac{m}{s^{2}} \right)^{2}}\)
\(a \approx 1.826\,\frac{m}{s^{2}}\)
The acceleration at the moment the train speed reaches 52 kilometers per hour is approximately 1.826 meters per square second.
The minute hand of a clock on a clock tower is 1 meter long. What is the tangential speed at the tip of that hand
Answer:
ω = θ / t
1 rev = 2 pi rad
t = 60 sec / min * 60 min / hr = 3600 sec / hr
v = ω R tangential speed
v = (2 pi m / hr) / (3600 sec / hr) = .00175 m/sec
As a check
s = 2 pi * 1 m = 6.28 meters around dial
It takes 3600 sec for 1 rotation of the minute hand
v = 6.28 / 3600 = .0017 m/s
The coefficient of kinetic friction between an object and the surface upon which it is sliding is 0.40 the weight of the object is 4.2
The frictional force of an object is the product of the normal force and coefficient of kinetic friction. Here the frictional force acting on the object is 16.4 N.
What is frictional force?
Frictional force is a kind of force acting on a body to resist it from motion. Thus, the direction of the force will be in negative with the magnitude. Frictional force is the product of coefficient of friction and the normal force.
The normal force acting on the object of mass 4.2 Kg is N = mg
N = 4.2 Kg × 9.8 m/s² = 41.16 N
Frictional force = ц N
= 0.40 × 41.16 N
= 16.4 N.
Therefore, the frictional force acting between the surface of the object and the floor is 16.4 N
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Your question is incomplete. But your complete question probably was:
The coefficient of kinetic friction between an object and the surface upon which it is sliding is 0.40 the weight of the object is 4.2 kg. What is the frictional force of the object?
A 65 kg-mass person stands at the end of a diving board, 1.5 m from the board's pivot point. Determine the torque the person is exerting on the board with respect to the pivot point. Show your work.
Answer:
Explanation:
The torque is given by the formula:
τ = F × r × sin(θ)
where τ is the torque, F is the force applied, r is the distance between the force and the pivot point, and θ is the angle between the force and the lever arm.
In this case, the person's weight is the force being applied, and it can be calculated as:
F = m × g
where m is the mass of the person and g is the acceleration due to gravity (9.81 m/s^2).
F = 65 kg × 9.81 m/s^2 = 637.65 N
The distance between the person and the pivot point is 1.5 m, so r = 1.5 m.
The angle between the person's weight and the lever arm is 90 degrees, so sin(θ) = 1.
Therefore, the torque the person is exerting on the board is:
τ = F × r × sin(θ) = 637.65 N × 1.5 m × 1 = 956.475 N·m
So the person is exerting a torque of 956.475 N·m on the diving board with respect to the pivot point.
HELP PLZ
A baseball player hits a pop-up. The ball was hit when it was 3 feet off the ground with an initial
upward velocity of 80 ft/s. How long will it take for the ball to reach a height of 10 feet off the
ground, on the way down?
Answer:
Explanation:
Use the equation
\(h(t)=-16t^2+v_0t+h_0\)
where h(t) is the height after a certain amount of time goes by, v0t is the initial upwards velocity, and h0 is the initial height of the projectile. For us:
h(t) = 10
v0t = 80
h0 = 3 and filling in:
\(10=-16t^2+80t+3\) and get everything on one side to factor:
\(0=-16t^2+80t-7\)
This factors to
t = .09 sec and 4.9 sec. Let's interpret this.
The time of .09 is when the ball reached 10 feet on the way up, and
the time of 4.9 is when the ball reached 10 feet on the way back down. That's the height we need, 4.9 seconds.
Some one plz help plzzzz
Answer:
8mph
Explanation:
speed=mph.
half an hourx2.
4 milesx2.
8 miles per hour.
That is the speed.
Hope this helps :D
What is the de Broglie - equation
Answer:
is this it?
Explanation:
λ = h/mv, where λ is wavelength, h is Planck's constant, m is the mass of a particle, moving at a velocity v. de Broglie suggested that particles can exhibit properties of waves.
David and Fiona want to know about how mass affects the motion of an object. David uses three objects with masses of 2 kg, 3 kg, and 8 kg, writes out his procedure, and records his observations on the force needed to move the objects. Fiona is investigating three different objects using observation. What is the difference in the way they approached this question?
A. Only Fiona gathered evidence from her investigation.
B. David used scientific articles for evidence.
C. David's observations can be replicated by repeating his procedure.
D. Fiona's observations can be replicated by observing different objects.
Answer: the answer is D if its not i'm really sorry
input an expression for the magnitude of the electric field, de, generated by the minute plastic segment of length dr at the point in the stylus r from the charge dq. express your answer in terms of given parameters and fundamental constants.
The complete expression for the magnitude of the electric field generated by the minute plastic segment is: |dE| = 1/(4πε₀) * ρ * dr / \(r^2\)
The magnitude of the electric field generated by a point charge q at a distance r from the charge is given by Coulomb's law:
E = k*q/\(r^2\)
where k is the Coulomb constant.
For a small segment of charge dq, we can consider it as a point charge located at its center, which is at a distance r from the point where we want to calculate the electric field. The length of the segment is dr, and its charge density is ρ = dq/dr. Therefore, the charge q of the segment is given by:
q = ρ * dr
Substituting this expression for q into Coulomb's law, we get:
dE = k*(ρ*dr)/\(r^2\)
Simplifying this expression, we obtain the magnitude of the electric field generated by the minute plastic segment:
|dE| = kρdr/\(r^2\)
where |dE| denotes the magnitude of the electric field, ρ is the charge density of the segment, dr is the length of the segment, r is the distance from the segment to the point where we want to calculate the electric field, and k is the Coulomb constant:
k = 1/(4πε₀)
where ε₀ is the electric constant, also known as the permittivity of free space. |dE| = 1/(4πε₀) * ρ * dr / \(r^2\)
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