The wavelength of the light beam required to turn back all the ejected electrons is 497 nm which is option (b).
Work function is a material property defined as the minimum amount of energy required to infinitely remove electrons from the surface of a particular solid. The potential difference required to support all emitted electrons is called the stopping potential which is given by [tex]v_0=\frac{K.E_m_a_x}{e}[/tex] .....(1)where [tex]v_0[/tex] is the stopping potential and e is the charge of the electron given by [tex]1.6\times10^-^1^9[/tex] .It is given that work function (Ф) of monochromatic light is 2.50 eV.
Einstein photoelectric equation is given by:
[tex]K.E_m_a_x=E-\phi[/tex] ....(2)
where K.E(max) is the maximum kinetic energy.
Substituting (1) into (2) , we get
[tex]ev_0=E-\phi\\1.6\times10^{-19} \times1=E-2.50\\E=1.6\times10^{-19}+2.50\\E=2.50eV[/tex]
As we know that [tex]E=\frac{hc}{\lambda}[/tex] ....(3)
where Speed of light,[tex]c = 3\times10^8 m/s[/tex] and Planck's constant , [tex]h = 6.63\times 10^-^1^9Js = 4.14\times 10^-^1^5 eVs[/tex]
From equation (3) , we get
[tex]\lambda=\frac{hc}{E} \\\\\lambda=\frac{ 4.14\times 10^-^1^5 \times 3 \times10^8}{2.50} \\\\\lambda=\frac{1240\times10^-^9}{2.50} \\\\\lambda=496.8\times10^-^9\\\\\lambda=497nm[/tex]
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A Hall-effect probe operates with a 120 -mA current. When the probe is placed in a uniform magnetic field of magnitude 0.0800 T , it produces a Hall voltage of 0.700 μV .(a) When it is used to measure an unknown magnetic field, the Hall voltage is 0.330μV . What is the magnitude of the unknown field?
The magnitude of Magnetic field is 37.7 x [tex]10^{-4}[/tex] Tesla.
We have Hall Probe to measure an unknown Magnetic field.
We have to determine the Magnitude of the unknown Magnetic field.
What is Hall Probe?A Hall probe is a device that can be used to measure magnetic fields. They work on the principle of Hall effect.
According to the question, we have -
I = 120 mA = 120 x 0.001 = 0.12 Ampere.
B = 0.08 Tesla
V(H) = 0.7 [tex]\mu[/tex]V = 7 x [tex]10^{-7}[/tex]
The formula relating the above quantities is -
V(H) = [tex]A_{H} \frac{IB}{d}[/tex]
[tex]$\frac{d}{A_{H} } =\frac{IB}{V_{H} }= \frac{0.12 \times 0.08}{7\times 10^{-7} }[/tex] = 13.71 x [tex]10^{3}[/tex]
Now -
For → V = 0.33 [tex]\mu[/tex]V = 0.33 x [tex]10^{-7}[/tex]
[tex]B=\frac{Vd}{A_{H}I }[/tex] = [tex]13.71\times 10^{3} \times\frac{0.33\times 10^{-7} }{0.12}[/tex] = 37.7 x [tex]10^{-4}[/tex] Tesla
Hence, the magnitude of Magnetic field is 37.7 x [tex]10^{-4}[/tex] Tesla.
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a vector with magnitude 8 points in a direction 70 degrees counterclockwise from the positive x axis. write the vector in component form.
A vector with magnitude 8 points in a direction 70 degrees counterclockwise from the positive x axis, the vector component form 11.53.
What is magnitude?In Physics, greatness is characterized as the most extreme degree of size and the heading of an item. Extent is utilized as a typical calculate vector and scalar quantities. The size of a seismic tremor is characterized regarding length, expansiveness and width. It is estimated as the actual size of the tremor. A seismic tremor is considered to have a solitary extent. Greatness by and large alludes to the amount or distance. Corresponding to the development, we can associate greatness with the size and speed of the article while voyaging. The size of the article or the sum is its extent. extent for the most part alludes to distance or amount. Corresponding to development, extent alludes to the size of an article or its speed while voyaging. Speed is a scalar property in material science, and that implies that it just depicts the size, or speed, of an item, and doesn't specify the bearing that the article ventures.
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suppose that you are a scientist studying tree rings in a cross-section of an ancient tree. what could several narrow tree rings in a row tell you about the climate when those rings were formed?
Several narrow tree rings in a row tell us that it was formed in the warm season.
What is a tree?Trees are those plants that grow very tall. We can see that ancient trees play an important role in the determination of the age of some fossils. The patterns of the rings that could be found in these trees also help us to know how old the particular tree is and especially the whether condition of the place around the time that the tree was formed.
This has been corroborated by a lot of biological evidences that show to tat effect. It can also tell us about the weather condition in a place at a particular time.
As such, several narrow tree rings in a row tell us that it was formed in the warm season.
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A vertical cylinder with a heavy piston contains air at 300 K . The initial pressure is 2.00 ×10⁵Pa , and the initial volume is 0.350m³ . Take the molar mass of air as 28.9 g/mol and assume CV = 5/2 R .(b) Calculate the mass of the air in the cylinder.
The mass of the air in the cylinder will be 0.811 Kg.
What is an ideal gas equation?The ideal gas law also referred to as the generic gas equation, is the equation of state for a hypothetical perfect gas. It is a good approximation of the behavior of several gases under diverse conditions, despite significant limitations.
Given that a vertical cylinder with a heavy piston contains air at 300 K . The initial pressure is 2.00 ×10⁵Pa, and the initial volume is 0.350m³. Take the molar mass of air as 28.9 g/mol.
The mass of the air in the cylinder will be calculated as below:-
P₁V₁ = nRT₁
n = ( P₁V₁ / RT₁ )
( m / M ) = ( P₁V₁ / RT₁ )
m = ( P₁V₁ M / RT₁ )
m = ( P₁V₁ M / RT₁ ) = ( 2 x 10⁵ x 0.35 x 0.0289 ) / ( 8.314 x 300 )
m = 0.811 Kg
Therefore, the mass of the air in the cylinder will be 0.811 Kg.
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in a rear tire skid when the rear wheel is not in line with the front wheel, you want to release the rear brake to quickly straighten the motorcycle.
False, because in a rear tire skid when the rear wheel is in line with the front wheel, you want to release the rear brake to quickly straighten the motorcycle.
What happens if the back wheel of your motorcycle locks up and starts to skid?
Understanding the rationale behind each correct response on the motorcycle written test is crucial for passing your motorbike permit examinations and developing into a safe rider.
When riding a motorcycle, a rear wheel skid can be a risky circumstance to encounter.
When the rear wheel locks up as a result of excessive braking, rear wheel skids happen.
You won't be able to turn around if the rear wheel locks up and starts to slide.
You must relieve the pressure on the rear brakes to stop the skidding of the rear wheels. However, the bike might quickly straighten out and knock you off in a high-side crash if the front and rear wheels are not in line when you remove the rear brake.
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A canister and the hydrogen gas it contains are at 100°C. The canister is placed in a vacuum, and the temperature of the canister and gas begins to decrease. Which of the following statements of reasoning best explains how the canister-gas system loses energy?
High-energy hydrogen molecules collide with lower-energy molecules and the walls inside the canister, losing energy during the collisions.
High-energy hydrogen molecules collide with lower-energy molecules and the walls inside the canister, losing energy during the collisions.
The molecules collide with the walls of the canister, causing the canister molecules to vibrate and carry energy from the canister to the canister’s surroundings.
The molecules collide with the walls of the canister, causing the canister molecules to vibrate and carry energy from the canister to the canister’s surroundings.
Energy is released from the canister as infrared radiation that can travel through the vacuum, causing a decrease in the average energy of the canister and the molecules.
Energy is released from the canister as infrared radiation that can travel through the vacuum, causing a decrease in the average energy of the canister and the molecules.
Energy is released from the canister and travels through the vacuum by convection, causing a decrease in the average energy of the canister and the molecules.
The statement that best explains why the system looses energy is; the Collison of the molecules of hydrogen with the wall of the can carries off energy to the environment.
How does the cannister loose energy?We know that energy is defined as the rate of doing work. Now the temperature of a gas is measure of the kinetic energy of the molecules of the body. In this case, the temperature of the hydrogen in the cannister has to do with how fast the molecules of the hydrogen are moving.
The higher the temperature, the faster the molecules of the hydrogen move. The lower the temperature, the slower the molecules of the hydrogen moves.
As such, the molecules collide with the walls of the canister, causing the canister molecules to vibrate and carry energy from the canister to the canister’s surroundings.
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Which of the following measurements is NOT a vector?
A. 12 m/s, East
B. -7 m
C. 18 s
D. 3.2 miles, up
Answer:
C. 18 s
&
B. -7 m
Explanation:
A. 12 m/s, East is a vector. It says "East" so it would be a vector. Therefore this is not our answer since it's a vector and the question is asking for which one is not a vector.
B. It says "7 m". I think that means 7 meters. That's a length. There is no direction. It's not 7 meters up, or to the east, or north. So, with no direction, it's not a vector. Therefore this is not our answer.
C. For this one it says ""18 s". I think that means "18 seconds". Since this one is not mentioned "direction" meaning it's not a vector. Since the question is asking for the ones that are not a vector this would be another answer.
D. Since this one says "miles" it means it has a direction since it has a direction it is probably a vector, since it's a vector it wouldn't be our answer. Therefore this is not our answer.
Review. A 0.200-kg metal rod carrying a current of 10.0A glides on two horizontal rails 0.500m apart. If the coefficient of kinetic friction between the rod and rails is 0.100, what vertical magnetic field is required to keep the rod moving at a constant speed?
The vertical magnetic field is required to keep the rod moving at a constant speed is 0.04T.
What is magnetic field?
A magnetic field, an electric current, a fluctuating electric field, or a vector field around a magnet can all be used to observe magnetic forces. Permanent magnets, including magnetic compass needles, point in the direction of magnetic fields similar to those on Earth. Magnetic fields cause electrically charged particles to move in a helical or circular pattern. This force, which is imparted to electric currents in wires in a magnetic field, is what drives the functioning of electric motors. When the magnetic field surrounds a permanent magnet or a wire carrying a steady electric current in one direction, it is referred to as a magnetostatic field and is stationary.
Calculations:
Given mass of rod ,m=0.2kg
current carrying= I = 10A
Separation between rails =d = 0.5m
coefficient of kinetic friction ,uk= 0.1
The force of magnetic field (F) is perp.r to the magnetic field.
Let required magnetic field be B.
Now balancing forces in y-direction,
N=mg
And. in x-direction,
F=f
IBd= [tex]u_{k}[/tex]N
IBd=[tex]u_{k}[/tex]mg
B=[tex]\frac{0.1x0.2x10}{10x0.5}[/tex]
B= 0.04T
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A single-turn square loop of wire, 2.00 cm on each edge, carries a clockwise current of 0.200 A . The loop is inside a solenoid, with the plane of the loop perpendicular to the magnetic field of the solenoid. The solenoid has 30.0 turns/cm and carries a clockwise current of 15.0A . Find (b) the torque acting on the loop.
The torque acting on the loop will be zero .
The torque on a current-carrying loop in a uniform magnetic field 'B' .The loop carries a current ' I ', has 'N' turns, each of area 'A' , and the loop makes an angle θ with the field B is given by [tex]T=NIABsin\theta[/tex] ...(1)Torque are often outlined because the movement equivalent of a linear force. The line around that Associate in Nursing object rotates is termed the axis of rotation. In physics, force is just the tendency of a force to twist or twist.The diagram is given below.
From the diagram , vector of the loop and therefore the force field are parallel to every different which suggests sin 180 ° whose worth is zero.
On putting the value of sin180 in equation (1) , we get
[tex]T=NIAB\times0\\T=0[/tex]
Torque acting on the loop will be zero .
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Assume a 150 -W loudspeaker broadcasts sound equally in all directions and produces sound with a level of 103dB at a distance of 1.60 m from its center.(b) Find the efficiency of the speaker, that is, the fraction of input power that is converted into useful output power.
According to the question: The efficiency of the speaker is 0.428%.
What is the power?The quantity of energy that is transported or transformed through time is referred to as power in physics. One joule per second, or one watt, is the definition of power in the International System of Units. Power is referred to as acting in some ancient writings. A motor's output power is the result of the torque it produces and the angular velocity of its output shaft.
Explanation:
Power output, P₀ = 0.643W
Power input, P₁ = 150W
The efficiency of the speaker = P₀/P₁
= 0.643W/150W
= 0.00428 ≅ 0.428%
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If the amplitude of the oscillator doubles, what happens to the wavelength and wave speed?.
On doubling the Amplitude both wavelength and wave speed remains unchanged.
We have a Oscillator whose amplitude is Doubled.
We have to determine the affect of variation in amplitude on wavelength and wave speed.
Define Wavelength and Wave speed.Wavelength - It is the distance between the two adjacent crests or trough in a waveform is called Wavelength.Wave speed - It is the distance traveled by a given point on the wave in a given interval of time.According to the question, we have -
Initial Amplitude → A
Final Amplitude → 2A
On doubling the Amplitude both wavelength and wave speed remains unchanged. Wavelength is not dependent on Amplitude. It can only be changed by changing its frequency or time period. Wave speed is not dependent on Amplitude. It can only be changed by changing the properties of the string through which the wave is travelling.
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please help in answering these 3 questions in science!!
(picture of questions attached)
in a certain city, electricity costs $0.10 per kw⋅h. what is the annual cost for electricity to power a lamppost for 7.00 h per day with a 100. w incandescent light bulb versus an energy efficient 25 w fluorescent bulb that produces the same amount of light? assume 1 year
The annual cost for electricity to power a lamppost for 7.00 h per day with a 100 W incandescent light bulb versus an energy efficient 25 W fluorescent bulb is $25.55 and $6.3875 respectively.
The Power is the amount of Energy produced per unit time.
The general formula for the annual cost can be written as:
[tex]Cost = P\cdot t\cdot d[/tex]
where. P is power, t is time in hours per day, and d is the total days.
Using the formula:
The cost of a 100 W incandescent light bulb:
[tex]Cost=(0.1)(7)(365)(0.10)=\$25.5[/tex]
Similarly,
The cost of a 25 W fluorescent light bulb:
[tex]Cost=(0.025)(7)(365)(0.10)=\$6.3875[/tex]
Hence, the annual cost is $25.55 and $6.3875 respectively.
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Can you please answer with clear working out .
the mass of a golf ball is 45.9 g . if it leaves the tee with a speed of 72.0 m/s , what is its corresponding wavelength? express your answer with the appropriate units.
w = wavelength = h / mv
Where h = Planck’s constant = [tex]6.626*10^{-34} J s[/tex]
m = mass of golf ball = 45.9 g = [tex]45.9*10^{-3} Kg[/tex]
v = velocity of ball = 72.0 m/s
Hence, w = ([tex]6.626*10^{-34}[/tex]) / ( [tex]45.9*10^{-3}*72[/tex])
wavelength = [tex]2.0*10^{-34} m[/tex]
What is a wavelength?The distance over which a periodic wave's shape repeats is known as the wavelength in physics. Along with other spatial wave patterns, it is a characteristic of both traveling and standing waves. The distance between two adjacent crests, troughs, or zero crossings on the wave that correspond to successively in the same phase. The spatial frequency is the reciprocal of wavelength. The Greek letter lambda (λ) is frequently used to represent wavelength. The term wavelength is also occasionally used to refer to modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids. A spectrum is the term used to describe the range of wavelengths or frequencies for wave phenomena. The term was originally used to describe the electromagnetic spectrum, but it is now now used to describe the sound spectrum and vibration spectrum.
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when striking, the pike, a predatory fish, can accelerate from rest to a speed of 4.0 m/sm/s in 0.15 ss
The distance covered will be 0.301m.
firstly we will new to calculate acceleration (a).
we can do so using newtons first law of motion.
v=u + a × t
where
a is the acceleration
t is the time
from here we get
a=(v-u)/t
a=(4-0)/0.15
a=26.67m/s²
using newtons second law of motion
s=u.t+1/2at²
where s is distance travelled in t seconds.
we get,
s=0.301m
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show answer incorrect answer calculate the change in length, in meters, of a column of water 1.00 km high for a temperature increase of 1.00°c. note that this calculation is only approximate because ocean warming is not uniform with depth.
Change in length in meters is 0.21 m
volume is given by
[tex]V_{f} = lwh\\[/tex]
v = volume [tex]V_{f}[/tex] = Final volume , [tex]V_{i}[/tex] = initial volume
l = length
w = width
h = height
change in volume expansion,
[tex]V = \beta V_{i} T[/tex]
where
t = change in temperature
[tex]\beta[/tex] = coefficient of volume expansion
coefficient of volumetric expression defined as increasing volume per unit, original volume per Kelvin rising temperature.
[tex]\beta \\[/tex] = 210×10⁻⁶ C⁻¹
[tex]V_{i} = lwh_{i}[/tex]
[tex]V_{f} - V_{i} = \beta V_{i}T[/tex]
on solving we get,
[tex]h_{f} =[/tex] 210×10⁻⁶ × 1 + 1000 = 1000.21m
Change in length= [tex]h_{f} -h_{i}[/tex] = 0.21 m
Change in length in meters is 0.21 m
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PLEASE HELP!!!!!! If an index fossil is never found below a key bed what can you infer from this information?
Answer:
index fossil, any animal or plant preserved in the rock record of the Earth that is characteristic of a particular span of geologic time or environment. A useful index fossil must be distinctive or easily recognizable, abundant, and have a wide geographic distribution and a short range through time. Index fossils are the basis for defining boundaries in the geologic time scale and for the correlation of strata. In marine strata, index fossils that are commonly used include the single-celled Protista with hard body parts and larger forms such as ammonoids. In terrestrial sediments of the Cenozoic Era, which began about 65.5 million years ago, mammals are widely used to date deposits. All of these animal forms have hard body parts, such as shells, bones, and teeth, and evolved rapidly.
Explanation:
voltage drop can occur across both the high-current and control circuits; however, the control circuit is more susceptible to voltage drop due to the much larger amount of current flowing in the circuit.
voltage drop can occur both the high current and control circuits.
Voltage drop - it is the loss of voltage by caused by the flowing current through resistance.
As any length of wires will have resistance running a current through the direct circuit resistance will cause the voltage drop.
It occurs voltage at the end point is less then the starting point.
control circuits - The circuit which carries only the electric signals directing performance of control device not power that device controls.
voltage drop can occur across both the high-current and control circuits; however, the control circuit is more susceptible to voltage drop due to the much larger amount of current flowing in the circuit.
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Draw a velocity - time graph for an object originally traveling at - 3 m/s. The object then slows down and turns around.
Answer:
this problem we have to draw a velocity-time graph for an object travelling initially at -3 m/s, then slowing down and turning around.
In the graph, we see that the initial velocity at time t = 0 is
v_0 = -3 m/sv
0
=−3m/s
and it is negative, so below the x-axis.
Later, the object slows down: this means that the magnitude of its velocity increases, therefore (since the velocity is negative) the curve must go upward, approaching and reaching the x-axis (which corresponds to zero velocity).
After that, the object's velocity keep increasing, but now it is positive: this means that the object is travelling in a direction opposite to the initial direction, so it has turned around.
Explanation:
I can't draw sorry
Consider (a) an electron (b) a photon, and (c) a proton, all moving in vacuum. Choose all correct answers for each question. (ii) Which have charge?
Electron and proton have charge which is option (a) and (c) .
An electron is a solid negatively charged factor of an atom. Electrons exist outdoor of and surrounding the atom nucleus. Each electron includes one unit of bad charge (1.602 x 10^-19 coulomb)A proton is a subatomic particle discovered with inside the nucleus of each atom. The particle has an advantageous electric charge, identical and contrary to that of the electron Photon is a subatomic particle, having strength and momentum however no mass or electric powered charge, this is the quantum unit of electromagnetic radiation, together with light.As electron and proton have charges -e and +e respectively and photon has no charge.
Therefore, only electron and proton have charge not photon .
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A cowboy stands on horizontal ground between two parallel, vertical cliffs. He is not midway between the cliffs. He fires a shot and hears its echoes. The second echo arrives 1.92 s after the first and 1.47s before the third. Consider only the sound traveling parallel to the ground and reflecting from the cliffs. (a) What is the distance between the cliffs?
The distance between the cliffs is 833.4m.
What is a cliff?A cliff is a section of rock with an overall angle defined by the vertical or nearly vertical in geography and geology. Cliffs are created by the gravitational effects of weathering, erosion, and other activities. Cliffs can be seen on rivers, escarpments, steep terrain, and coastlines. Typically, cliffs are made of weather- and erosion-resistant rock. Sandstone, limestone, chalk, and dolomite are the sedimentary materials most likely to result in cliff formation. Cliffs are frequently formed by igneous rocks like granite and basalt.
A geologic fault's movement, a landslide, or occasionally rock slides or falling rocks that alter the differential erosion of the rock layers result in the formation of an escarpment (or scarp), a type of cliff.
Explanation:
Let x1 be the distance between the cowboy and the closer canyon wall and x2 be the distance between him and the farther cliff. The first echo's sound travels a distance of 2x1. 2x2 for the following. The third is
2x1 + 2x2 , for the fourth echo 2x1 + 2x2 + 2x1
speed of sound = 343 m/s
then,
diff of length = 2x2 - 2x1 / 343 = 1.92 s
and 2x1 + 2x2 - 2x2 / 343 = 1.47
x1 = 0.5 * 343 * 1.47
= 252.105 m
2x2 / 343 = 1.92 + 1.47
x2 = 581.3 m
a) x1 + x2 = 581.3 + 252.105 = 833.4
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5. Find the velocity of a train that traveled 75 km in 35 minutes. (answer
in m/s). Conversion factors: 1000 m = 1 km; 60 s = 1 min.
75km=75000m
35min=2100 seconds
Velocity=Displacement/Time
=75000/2100
=750/21
=35.71 m/s
any moment in time, the object can be stationary, moving to the right, moving to the left, or turning around. identify the motion of the object at each time provided.
Answer:
well....to every direction the body moves towards the force exerted is conducted in the opposite direction of motion.....when it turns around force exerted is not opposite but rather non directional...
a 7.80 nc charge is located 1.69 m from a 4.54 nc point charge. (a) find the magnitude of the electrostatic force that one charge exerts on the other.
The electric force acting on a 7.80 nc charge that is located 1.69 m from a 4.54 nc point charge is: 1.115*10^-7 N
To solve this exercise the electric force formula and the procedure we will use is:
F = (k * q1 * q2)/r²
Where:
F = electric forcek = coulomb constantq1 = charge 1q2 = charge 2r = separation distance of the chargesInformation about the problem:
q1= 7.80 ncq2= 4.54 ncr = 1.69 mF =?k= 9 *10^9 N*m²/C²1 C = 1*10^ 9 nCBy converting the the values of the charges (q1) and (q2) from (nC) to (C) and we have that:
q1= 7.80 nC * 1 C/ 1*10^ 9 nC
q1= 7.8*10^ -9 C
q2= 4.54 nC * 1 C/ 1*10^ 9 nC
q2= 4.54 *10^ -9 C
We apply the electric force formula we have:
F = (k * q1 * q2)/r²
F = [(9 *10^9 N*m²/C² * (7.8*10^ -9 C) * (4.54 *10^ -9 C)]/ (1.69 m)²
F = 3.187*10^-7 N*m² /2.8561 m²
F = 1.115*10^-7 N
What is electric force?In physics the electric force is the force that attracts or repels two charges (q) separated at a distance called (r), this is expressed in the international system of units in Newton.
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The rotor in a certain electric motor is a flat, rectangular coil with 80 turns of wire and dimensions 2.50 cm by 4.00 cm . The rotor rotates in a uniform magnetic field of 0.800 T . When the plane of the rotor is perpendicular to the direction of the magnetic field, the rotor carries a current of 10.0 mA . In this orientation, the magnetic moment of the rotor is directed opposite the magnetic field. The rotor then turns through one-half revolution. This process is repeated to cause the rotor to turn steadily at an angular speed of 3.60×10³ rev/min. (a) Find the maximum torque acting on the rotor.
The maximum torque acting on the rotor is 1.2× 10⁻⁴ Nm.
To find the maximum torque, the given values are,
No .of turns of the wire = 80
Dimensions is given as, 2.50 cm by 4.00 cm
Magnetic field = 0.800 T.
current = 10 mA.
Angular speed = 3.60 ×10³ rev/min
What is maximum torque?Maximum torque means the highest value of the net torque measured at full engine load.The torque can be calculated when the angle of the rotor is at 90°.When the magnet is along the magnetic field, the torque will be minimum.When the magnet is perpendicular to the magnetic field, the torque will be maximum.The maximum torque can be described with the formula,As the torque is in the current carrying loop in the uniform magnetic field,
τ = NIAB sinθ Nm
= 80×10×10⁻³×0.0250×0.040×0.800× Sin 90°
= 2 × 6.4 × 10 ⁻⁴
= 1.2 × 10⁻⁴ Nm.
Thus, the maximum torque acting on the rotor is 1.2× 10⁻⁴ Nm.
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An airplane is flying at 200 m/s at an angle of 30° north of east. How fast is the
plane flying North?
A uniformly charged, straight filament 7.00m in length has a total positive charge of 2.00μC. An uncharged card-board cylinder 2.00cm in length and 10.0cm in radius surrounds the filament at its center, with the filament as the axis of the cylinder. Using reasonable approximations, find (b) the total electric flux through the cylinder.
The total electric flux through the cylinder is 6.46N⋅m^2/C
Given data:
• The length of the charge is l= 7m.
• The charge is q = 2μC..
• The radius the cylinder is r = 10 cm
The expression for the electric flux is given as,
ϕ=2πrLE
ϕ=2πrL(2kλ/r)
ϕ=4πkλL
Substitute the value in the above equation,
ϕ=4π(9×10^9N⋅m^2/C^2)(2×10^−6C/7m)(0.02m)
= 6.46N⋅m^2/C
An electric charge is the property of matter where it has more or fewer electrons than protons in its atoms. Electrons carry a negative charge and protons carry a positive charge. Matter is positively charged if it contains more protons than electrons, and negatively charged if it contains more electrons than protons.
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the water in the cuyahoga river flows at a speed of 5.4 kilometers/hour. If you decide to canoe down the river a distance of 16 kilometers, how many hours will that take?
The water in the Cuyahoga river flows at a speed of 5.4 kilometers/hour. If you decide to canoe down the river a distance of 16 kilometers, then it would take 2.96 hours.
What is speed?The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object.
As given in the problem, the water in the Cuyahoga river flows at a speed of 5.4 kilometers/hour. If you decide to canoe down the river a distance of 16 kilometers,
The time period for canoeing 16 kilometers = 16 kilometers / 5.4 kilometers/hour
=2.96 hours
Thus, it would take 2.96 hours to canoe down the river a distance of 16 kilometers.
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A proton is projected in the positive x direction into a region of a uniform electric field →E =(-6.00 × 10⁵) i^ N/C at t=0 . The proton travels 7.00 cm as it comes to rest. Determine (a) the acceleration of the proton,
The acceleration of the proton that is projected in the positive x direction into a region of a uniform electric field is 5.76×〖10〗^13 m/s^2
The product of the field's strength and the charge's strength yields the magnitude of the electric force acting on a charge traveling in a magnetic field region.
The electric force magnitude acting on the charge is expressed in the equation below.
F=|→E|×|q|
F=|-6.00×〖10〗^5 N/C|×||+1.602×〖10〗^(-19) C|
F=9.612×〖10〗^(-14) N
Newton's second law of motion states that the magnitude of a force is equal to the product of a proton's mass and its acceleration. Where the magnitude of the acceleration of the proton is ;
a=F/m
Where F is the force and m is the mass;
Inserting the values into the equation,
a=(9.612×〖10〗^(-14) N)/(1.67×〖10〗^(-27) kg)
a=5.76×〖10〗^13 m/s^2
Therefore, the acceleration of proton is 5.76×〖10〗^13 m/s^2 #SPJ4
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