A very thin plastic rod of length is rubbed with cloth and becomes uniformly charged with a total charge of . Consider an arbitrary piece of rod of length located at a position on the rod. Find an expression for the electric field due to an arbitrary source location at observation location on the x-axis, a distance to the right of the end of the rod as indicated. Next, integrate to find the total electric field caused at by the entire rod. Use for Coulomb's constant
The total electric field of the rod at a distance, x to the right hand end of the rod is determined as [tex]E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex].
Expression for the electric fieldAn expression for the electric field due to an arbitrary source location at observation location on the x-axis is determined as follows;
E = kq/r²
where;
k is coulomb's constantr is the distance on x - axisTotal electric field of the entire rod[tex]\int\limits {dE} \,=\int\limits {\frac{kdQ}{r^2} }\\\\E = \lambda k \int\limits^{x + l}_x {\frac{dr}{r^2}} \,= \lambda k [-\frac{1}{r} ] \\\\E = \lambda k [\frac{1}{x} - \frac{1}{x+ l} ]\\\\E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex]
Thus, the total electric field of the rod at a distance, x to the right hand end of the rod is determined as [tex]E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex].
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Pls help me l will make it brainlest
Answer:
0.04 °C⁻¹
Explanation:
First, we need to calculate linear expansivity, then after finding that value, we can move on to finding the area expansivity.
=============================================================
Finding Linear Expansivity :
⇒ α = Final length - Original length / (Original length × ΔT)
⇒ α = 9 - 4 / (4 × 70 - 20)
⇒ α = 5 / 5 × 50
⇒ α = 0.02
============================================================
Finding Area Expansivity :
⇒ Area Expansivity = 2 × Linear Expansivity
⇒ β = 2 × α
⇒ β = 2 × 0.02
⇒ β = 0.04 °C⁻¹
Calculate the value of the area expansion of a steel rod of lenght 4cm at 20°c after heating attains another length of 9cm at 70°c.
Area = 0.02
Area Expansity = [tex]0.0 {4}^{ - 1} [/tex]
how does the egg drop project apply to everyday life
Answer:
Explanation:
It apply on how you will protect the egg because you protect the egg at all cost. It's very similar on who is protecting you, You need someone to be there for you always because an egg can't survive on it's own. Just like your life your can't be always rolling around like an egg you need to be safe and always with the person who cares for you. An egg is safe when they are together in a tray just like family and friends.
the speed of all electromagnetic waves in emoty space is 3.0x10^8 m/s .calculate the wavelength for radio waves with frequency 100.0 mhz
Taking into account the definition of wavelength, frecuency and propagation speed, the wavelength for radio waves with a frequency of 100 MHz is 3 m.
Definition of wavelength, frecuency and propagation speedFirst of all, wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).
On the other side, frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).
Finally, the propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.
The propagation speed relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation:
v = f×λ
All electromagnetic waves propagate in a vacuum at a constant speed of 3×10⁸ m/s, the speed of light.
Wavelength for radio wavesIn this case, you know:
v= 3×10⁸ m/sf= 100 MHz= 100,000,000 Hz (being 1 MHz = 1,000,000 Hz)λ= ?Replacing in the definition of propagation speed:
3×10⁸ m/s = 100,000,000 Hz× λ
Solving:
λ= 3×10⁸ m/s ÷ 100,000,000 Hz
λ= 3 m
In summary, the wavelength for radio waves with a frequency of 100 MHz is 3 m.
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How much does a
0.150 kg baseball weigh?
[?] Not
The weight of the baseball is 1.47 N.
What is weight?Weight is the gravitational pool of a body or an object.
To calculate the weight of the body, we use the formula below.
Formula:
W = mg.............. Equation 1Where:
W = Weight of the baseballm = Mass of the baseballg = Acceleration due to gravity.From the question,
Given:
m = 0.150 kgg = 9.8 m/s²Substitute these values into equation 1
W = 0.150×9.8W = 1.47 N.Hence, the weight of the baseball is 1.47 N.
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help me Which two activities are practical applications of magnetism?
A) Using a compass to find your way to a campsite
B) Using a leather tool belt to organize metal tools
C) Using aluminum instead of steel to make outdoor furniture
D) Using a metal detector to find buried iron objects
Compass and metal detector are the practical applications of magnetism.
Which two activities are practical applications of magnetism?Using a compass to find your way to a campsite and a metal detector to find buried iron objects are the practical applications of magnetism because in these tools magnet is used. Without magnet, they can't perform their function.
So we can conclude that compass and metal detector are the practical applications of magnetism.
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Three resistors of 100 W, 3900 W, and 1000 W are connected in series across a 200-V battery. What is the voltage drop across the resistor of value 1000 W?
Answer:
40 V
Explanation:
I will assume that the resistors are
100 and 3900 and 1000 OHMS <=====(NOT W)
In series , the resistances add together 100 + 3900 + 1000 = 5000 ohms total
V = IR
I = V / R so the total current will be 200 v / 5000 ohms = .04 amps
this is the current through all of the resistors
so for the 1000 ohm resistor V = IR .04 (1000) = 40 V
Two 1-kg objects, C and D, increase in temperature by the same amount, but the
thermal energy transfer of object C is greater than the thermal energy transfer of
object D. If object C has a specific heat of 235 J/kg-K, which material might object
D be made of?
(A) aluminum
(B) brass
(C) iron
(D) lead
The object D is made up of material Lead. The correct option is D.
What is specific heat?The specific heat is the amount of heat required to change the temperature by 1°C. It is denoted by C.
Two 1-kg objects, C and D, increase in temperature by the same amount, but the thermal energy transfer of object C is greater than the thermal energy transfer of object D. The object C has a specific heat of 235 J/kg-K.
Q = m C ΔT
Qc > Qd
The energy transfer is proportional to specific heat.
Specific heat of D must be less. The possible material with specific heat less than the given value is for Lead material.
Thus, the correct option is D.
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A motor with a power of 7.0 × 104 watts lifts a loaded elevator to a height of 20.00 meters for 40 seconds. what is the force exerted by the motor on the elevator? a. 1.4 × 104 newtons b. 7.0 × 104 newtons c. 1.4 × 105 newtons d. 2.1 × 105 newtons e. 3.5 × 105 newtons
Answer:
c. 1.4×10^5 N
Explanation:
Work is the product of power and time. It is also the product of force and distance. We can equate these two products to find the distance.
__
Wt = Fd
(7.0×10^4 N·m/s)(40 s) = F(20 m)
F = (7.0×10^4)(40/20) N = 1.4×10^5 N
The force exerted by the motor is 1.4×10^5 newtons.
Calculate the energy used by a radio of power 30W in 1 minute.
Answer:
1.8kJ
Explanation:
Formula :
Energy used = Power x time
===============================================================
Given :
⇒ Power = 30 W
⇒ Time = 1 minute = 60 seconds
=============================================================
Solving :
⇒ Energy used = 30 W × 60 s
⇒ Energy used = 1,800 J
⇒ Energy used = 1.8kJ
Answer:
1800 joule (1.8kJ)
Explanation:
Formula:
Power = Work / Time
30 = Work / 60
Work = 1800 joule
Work = 1.8kJ
Energy = Work done = 1.8kJ
Hence, Energy used is 1.8kJ.
What would happen if the atmosphere consisted of pure oxygen.
Answer:
Then our fires would become massive.
Explanation:
Hope this helps
3 What is the displacement of a satellite when it makes a complete round along its circular path?
Answer:
0
Explanation:
The displacement is zero since it goes in a full circle and ends up where it started.
To fully complete this project, you will submit the following: complete the data table with values that you determine from the video and calculated. find the average wave speed as asked for in question 3. find the mathematical speed of sound as asked for in question 4. show your calculation. answer to question 5 in complete sentences.
Since no data table was provided, the wave speed be calculated by taking the mean of speed values.
Also, the mathematically derived speed of sound is 343 m/s at 20 °C.
What is speed of sound in air?Sound is an example of a mechanical wave and require a material medium for it's transmission.
The speed of sound in air has been determined to be about 343 m/s at 20 °C.
The average wave speed can be calculated using the formula:
Average wave speed = (initial speed + final speed)/2The formula relating speed of a wave, frequency, and wavelength is given below:
Speed = wavelength × frequency.It is important to note that in this question, no data table or video was provided.
Therefore, the wave speed be calculated by taking the mean of speed values obtained in the experiment as shown in the video.
Also, the mathematically derived speed of sound is 343 m/s at 20 °C.
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Please select the word from the list that best fits the definition
the resistance of an object to moving or to stopping
a. gravity
b. inertia
c. gravitational force
Answer:
inertia
Explanation:
the resistance of an object to moving or to stopping
a. gravity
b. inertia
c. gravitational force
Which air mass would produce cold, dry weather in the winter
a. continental polar
b. maritime polar
c. continental tropical
d. maritime tropical
The air mass would produce cold, dry weather in the winter is continental polar. The correct option is a.
What is air mass?A huge collection of air with evenly uniform degrees of temperature, humidity, and pressure.
Continental air masses which are formed cold and dry. Air mass that forms over northern Canada is known as continental polar air mass. As it moves to South, it brings dry weather like conditions in the United States.
Thus, the correct option is a.
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The only way we get information about what's happening at large astronomical distances away, such as the length of our galaxy, is through the detection of light. true false
Answer:
true
Explanation:
Light Years are the longest unit-distance. Our galaxy is numerous light years across.
What type of motion a particle has if its velocity-time graph is as mentioned below? i) Graph is parallel to the time axis ii)Graph is a straight line passing through the origin and having a constant slope.
The velocity time graph is used to plot the velocity of a body against the time.
What is the velocity time graph?The velocity time graph is used to plot the velocity of a body against the time. The slope of this graph is called the velocity.
Now the following are true regarding the scenarios below;
Graph is parallel to the time axis - This is constant velocity
Graph is a straight line passing through the origin and having a constant slope. - There is a uniform acceleration.
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Sam runs 9 kilometers in 2.5 hours. what is his speed?
Considering the definition of speed, the speed of Sam is 3.6 [tex]\frac{km}{h}[/tex].
Definition of speedSpeed is a quantity that expresses the relationship between the space traveled by an object. That is, the speed is associated with the change of position of an object in space within a certain amount of time.
The speed can be calculated using the expression:
[tex]speed= \frac{displacement}{time}[/tex]
Speed of SamIn this case, you know:
displacement= 9 kmtime= 2.5 hReplacing in the definition of speed:
[tex]speed= \frac{9 km}{2.5 h}[/tex]
Solving:
speed= 3.6 [tex]\frac{km}{h}[/tex]
Finally, the speed of Sam is 3.6 [tex]\frac{km}{h}[/tex].
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The words can only be used onece. Use the words to complete the sentences below: Switch, break, on, complete, electricity, bulb, off, battery A circuit which has a _____________________ in it will not allow _____________________ to flow through it. A device called a ______________________ can be used to ______________ a circuit so that other devices can be switched ____________ or ______________________.
Answer:
A circuit which has a battery in it will not allow electricity to flow through it. A device called a switch can be used to complete a circuit so that other devices can be switched on or off.
Explanation:
^^^
A spring with a spring constant of 350 N/m pulls a door closed. How much work is done as the spring pulls the door at a constant velocity from an 85.0-cam stretch to a 5.0-cm stretch?
The work done to stretch the spring will be 112 J.
What is spring force?The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is
F = kx
The given data in the problem is;
F is the spring force =?
K is the spring constant= 8.5 N/m
x is the length by which spring got stretched = 1.2m
The work is done to stretch the spring is;
[tex]\rm W= \frac{1}{2} kx^2 \\\\ W=\frac{1}{2} \times 350 \times (0.850-0.050)^2 \\\\ W=0.5 \times 350 \times (0.80)^2 \\\\W=112 \ J[/tex]
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Scientists are making plans to put a probe in orbit around Earth. They want the probe to enter the orbit shown below.
An illustration of the earth with a concentric circle around the earth with arrowheads in the counterclockwise direction. At the top of the circle is a black dot with a vector labeled Y away from the center of the circle, a vector labeled W toward the center of the circle, a vector tangent to the circle and clockwise labeled Z and a vector labeled X tangent to the circle and counterclockwise.
Which arrow shows the direction that the probe should be moving in order for it to enter the orbit?
An arrow which shows the direction that the probe should be moving in order for it to enter the orbit is X.
What is an orbit?An orbit can be defined as the curved path through which a astronomical (celestial) object such as planet Earth, in space move around a Moon, Sun, planet or star.
In this scenario, if the scientists want the probe to enter the orbit they should ensure that probe moves in direction X. This ultimately implies that, the probe must move in the same direction as the orbit, in order to enter it.
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Answer:
(b)
Explanation:
X
Click this link to view O*NET’s Work Styles section for Postal Service Mail Carriers. (Common work styles are listed near the top and less-common work styles are near the bottom.) According to O*NET, which common work styles do Postal Service Mail Carriers need? Select four options.
dependability
creativity
leadership
integrity
self-control
attention to detail
The common work styles do Postal Service Mail Carriers need creativity, integrity, self-control and attention to detail.
They commonly sort mail and orchestrate it arranged by their conveyance course. They convey the mail by walking or any vehicle. They also gather mail and convey it to the post office. Mail transporters answer clients inquiries, provide forms, and look out for surprising conditions on their course.
Thus, the common workstyles they should need to have are creativity, integrity, self-control and attention to detail.
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Answer:
1456
Explanation:
what makes science an exact science
Explanation:
accurate quantitative expression, precise predictions and/or rigorous methods of testing hypotheses involving quantifiable predictions and measurements.
Answer:
because it is capable of accurate quantitative expression, meaning they show an absolute precision in their results.
Engineers are trying to improve a race car. Their goal is to increase the acceleration of the car using the same engine. Which change shows the best application of Newton’s laws of motion to achieve this goal?
increasing the inertia of the car
decreasing the reaction force
increasing the action force
decreasing the mass of the car
Decreasing the mass of the car will help increase the acceleration of the car using application of Newton’s laws of motion.
What is Newton's law of motion?
This law discusses the relationship between motion of a substance and the forces acting on it.
Heavy objects are more difficult to move which is why decrease in mass will help increase the acceleration.
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Answer: decreasing the mass of the car
Explanation: this is for a TLDR trust
A bicyclist moving at a constant speed takes 10.0 seconds to travel 500 meters down a path inclined 30.0° downward from the horizontal. what is the vertical velocity of this motion? a. 18.3 meters/second b. 43.3 meters/second c. 25.0 meters/second d. 28.9 meters/second e. 32.1 meters/second
A bicyclist moving at a constant speed takes 10.0 seconds to travel 500 meters down a path inclined 30.0° downward from the horizontal. the vertical velocity of this motion is mathematically given as
V' = 25 m/s. Option C.
What is the vertical velocity of this motion?Generally, the equation for the Inclined Component is mathematically given as
V=d/s
Therefore
V = 500/10
V= 50 m/s
In conclusion, for the vertical Component
[tex]V'= dsin \theta[/tex]
V'= 50Sin30
V' = 25 m/s
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When the switch is closed electrons will flow from.
The statement is true, when the switch is closed electrons will flow.
What is current?Current can be defined as the rate of flow of charges or electrons in a given circuit.
Q = It
I = Q/t
where
Q is charget is timeI is currentWhat is a Closed circuit?A closed circuit is a type of circuit in which the wire connection of the circuit is complete and in which current flows.
Switch can be used close or open a circuit.
Thus, the statement is true, when the switch is closed electrons will flow.
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whats the function of the epididymis
Answer:
It carries and stores sperm cells that are created in the testes.
If a person with a mass of 90 kg has an acceleration of 1 m/s/s when pushing off a wall, calculate the force.
91 newtons toward wall
90 newtons away from wall
89 newtons away from wall
90 newtons toward wall
The force of the person is 90 newtons away from the wall.
What is force?Force can be defined as the product of mass and acceleration.
To calculate the force of the person when pushing off the wall, use the formula below.
Formula:
F = ma................. Equation 1Where:
F = Force off the wallm = mass of the persona = acceleration of the personFrom the question,
Given:
m = 90 kga = 1 m/s² off the wallSubstitute these values into equation 1
F = 90×1F = 90 Newtons away from the wallHence, the force of the person is 90 newtons away from the wall.
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Two objects perform the same task. One has thousands of moving parts while the other has no moving parts. What are they?.
The two objects perform the same task of measuring time and they are hourglass and sundial.
What is an hourglass?
An hourglass is a device used to measure the passage of time.
The hourglass contains two glass bulbs connected vertically by a narrow neck that allows a regulated flow of a substance from the upper bulb to the lower one.
What is a sundial?A sundial is a horological device that is used to measure time of the day when there is sunlight by the apparent position of the Sun in the sky. Unlike hourglass, its doesn't move.
Thus, the two objects perform the same task of measuring time and they are hourglass and sundial.
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A bungee jumper jumps off a bridge and bounces up and down several times.
She finally comes to rest 16 m below the bridge from which she just jumped.
If her mass is 50 kg and the spring constant of the bungee cord is 35 N/m,
how much energy was lost due to air resistance while she was bouncing?
(Recall that g = 9.8 m/s²)
OA. 5420 N
OB. 3360 N
OC. 4280 N
O D. 6550 N
The energy that was lost due to air resistance while she was bouncing is determined as 3,360 J.
Conservation of energyThe amount of energy lost due to air resistance while she was bouncing is determined from the principle of conservation of energy.
ΔE = P.E - Ux
ΔE = mgh - ¹/₂kx²
ΔE = (50)(9.8)(16) - ¹/₂(35)(16)²
ΔE = 3,360 J
Thus, the energy that was lost due to air resistance while she was bouncing is determined as 3,360 J.
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