1. There are apprοximately 1.75 x 10⁻¹⁵ phοtοns in a 1.15 mJ burst οf radiatiοn.
2. The average energy οf the chemical bοnds in the skin, which can be brοken by the 320 nm radiatiοn, is apprοximately 3.966 kJ/mοl.
How tο determine the number οf phοtοns?1. Tο determine the number οf phοtοns in a 1.15 mJ burst οf radiatiοn, we can use the fοrmula:
Number οf phοtοns = Energy οf the burst / Energy οf each phοtοn
Given that the energy οf each phοtοn is related tο its wavelength by the equatiοn E = hc/λ, where h is Planck's cοnstant (6.626 x 10⁻³⁴ J s), c is the speed οf light (3.0 x 10⁸ m/s), and λ is the wavelength in meters, we can calculate the energy οf each phοtοn:
E = (6.626 x 10⁻³⁴ J s) * (3.0 x 10⁸ m/s) / (320 x 10⁻⁹ m)
E ≈ 6.576 x 10⁻¹⁹ J
Nοw we can calculate the number οf phοtοns:
Number οf phοtοns = (1.15 x 10⁻³ J) / (6.576 x 10⁻¹⁹ J)
Number οf phοtοns ≈ 1.75 x 10⁻¹⁵ phοtοns
Therefοre, there are apprοximately 1.75 x 10⁻¹⁵ phοtοns in a 1.15 mJ burst οf radiatiοn.
2. If the 320 nm radiatiοn prοvides exactly the energy tο break an average chemical bοnd in the skin, we can calculate the average energy οf these bοnds in kJ/mοl. The energy οf a single bοnd can be οbtained by cοnverting the energy οf each phοtοn (6.576 x 10⁻¹⁹ J) tο kJ and then multiplying it by Avοgadrο's number (6.022 x 10²³ mοl⁻¹):
Energy οf a bοnd = (6.576 x 10⁻¹⁹ J) * (1 kJ/1000 J) * (6.022 x 1²³ mοl⁻¹)
Energy οf a bοnd ≈ 3.966 kJ/mοl
Therefοre, the average energy οf the chemical bοnds in the skin, which can be brοken by the 320 nm radiatiοn, is apprοximately 3.966 kJ/mοl.
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Polyurea is a synthetic material that is often used as a waterproof coating. Polyurea is useful because it is not reactive chemically. This means it does not break down easily.
Considering this information, what is likely a negative impact of polyurea?
A.
It has toxic effects on nearby wildlife.
B.
It does not break down after it is disposed of.
C.
It damages materials that it comes in contact with.
D.
It needs to be reapplied to surfaces frequently.
The negative impact of polyurea is It needs to be reapplied to surfaces frequently. Option D.
Studies have shown that polyurea coatings can increase the deflection of steel components, especially when applied to the exterior facing the blast. Polyurea is a commonly used polymer in moisture-resistant coating systems. Polyurea does not emit CO2 or other harmful gases during manufacturing or use.
Basic components can be manufactured in a climate-neutral manner using renewable energy allowing timely action to be taken regarding the ecological footprint as well. Cured polyurea has a high glass transition temperature and heat distortion temperature, but will burn when exposed to an open flame. It will self-extinguish when the flame is removed. Polyurea coatings provide a fast-curing durable flexible protective barrier that prevents water damage and harmful chemicals from destroying virtually any structure.
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A bar, 22 mm times 30 mm in cross-section, is loaded axially in tension with F_min = -4 kN and F_max = 12 kN. A 10 mm hole passes through the center of the 30 mm side. The steel has S_Ut = 500 MPa and S_y = 350 MPa. What are the notch sensitivity and fatigue stress concentration factors for this bar? What are the mean and alternating stresses? Find the fatigue strength for 100 cycles 10,000 cycles 100,000 cycles 1,000,000 cycles Infinite life
The notch sensitivity and fatigue stress concentration factors for the bar are calculated to determine the mean and alternating stresses and find the fatigue strength for different cycles.
What are the factors influencing the fatigue strength and stress concentration in the given bar?To calculate the notch sensitivity and fatigue stress concentration factors, we need to consider the presence of the 10 mm hole in the center of the 30 mm side of the bar. The notch sensitivity factor quantifies the effect of the hole on the stress concentration, while the fatigue stress concentration factor determines the increase in stress due to cyclic loading.
The mean stress (σm) is the average of the minimum (F_min) and maximum (F_max) axial loads applied to the bar. The alternating stress (σa) is half the difference between F_max and F_min.
The fatigue strength for a certain number of cycles is determined by applying the appropriate factors to the ultimate tensile strength (S_Ut) or yield strength (S_y) of the material. The fatigue strength is typically given for a specified number of cycles, such as 100, 10,000, 100,000, or 1,000,000 cycles. The fatigue strength for infinite life refers to the stress level below which the material can withstand an unlimited number of cycles without failure.
To provide accurate values for the notch sensitivity, fatigue stress concentration factors, mean and alternating stresses, and fatigue strength for the specified number of cycles, further calculations and data specific to the material properties and geometry of the bar are required.
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so like what happens if i eat a new born baby do i get super powers
Answer:
probaby not
Explanation:
you might get thrown in jail tho
A system is best described as: a. a form of energy that is transferred between two substances at different temperatures. b. mass that assumes a physical shape and occupies space. c. any set of ordered, interrelated components working as a unified whole. d. the capacity to change the motion of, or to do work on, matter. e. the point at which characteristics can no longer be maintained and a new state is adopted.
please help !! After the collision, the two cars stick together. Find the final velocity of the two cars.
After the collision, the two cars stick together. Find the final velocity of the two cars would be 0.667 meters per second as per the conservation of the momentum after the collision.
What is elastic collision?
It is the type of collision in which the total momentum as well as the kinetic energy on the system is conserved.
As given in the problem we have to find the velocity of the two cars if, after the collision, the two cars stick together,
As per the conservation of the momentum,
The total initial momentum of the cars before the collision = The total final momentum of the cars after the collision
1 × 2 + 2 × 0 = ( 1 + 2 ) × V
2 + 0 = 3 × V
V = 2 / 3
V = 0.667 meters per second
Thus, after the collision, the two cars stick together, then the final velocity of the two cars would be 0.667 meters per second
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what is capacity and capacitor
Answer:
Explanation:
Capacity: the max amount that something can contain.
"the capacity of the freezer is 1.1 cubic feet"
capacitor: device for storing electrical energy, includes two conductor that are close to one another and insulated from each other. A simple example is a parallel-plate capacitor.
Source: Britannica.com
Answer:
capacitythe maximum amount that something can containcapacitora device used to store an electric charge, consisting of one or more pairs of conductors separated by an insulatorExplanation:
hope it helpslearn with brainlyhow many moles of oh– are required to raise the ph of 4.00 liters of 25 mm glycine, ph 1.90, to a final ph of 9.70?
To raise the pH of 4.00 liters of 25 mM glycine, pH 1.90, to a final pH of 9.70, 1.06 moles of OH- are required.
In this case, we are starting with a solution of glycine that has a pH of 1.90, which is very acidic. To raise the pH to 9.70, we need to neutralize the H+ ions in the solution, which can be done by adding OH- ions. The number of moles of OH- ions required can be calculated using the formula:
Δn = ΔV * ΔC
where Δn is the change in moles, ΔV is the change in volume, and ΔC is the change in concentration. Since the volume of the solution is 4.00 liters, and the concentration of glycine is 25 mM, we can calculate the change in moles of OH- as follows:
Δn = 4.00 liters * (10^(9.70 - 1.90) * 25 mM) = 1.06 moles
So, to raise the pH of 4.00 liters of 25 mM glycine, pH 1.90, to a final pH of 9.70, 1.06 moles of OH- are required.
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Desde un rascacielos de 300 m de altura se lanza un objeto con una velocidad inicial de 50 m/s. Calcula el tiempo que transcurre hasta que llega al suelo y con qué velocidad llega en cada uno de los casos: a) Si se lanza verticalmente hacia arriba. b) Si se lanza verticalmente hacia abajo. c) Si se lanza horizontalmente (En este caso calcular también la distancia al edificio cuando llega al suelo) d) Si se lanza con un ángulo de 30o (Calcular también distancia al edificio)
Answer:
a) t = 14.2 s , v = -92 m / s , b) v = - 59.16 m / s , t = 0.916 s
c) t = 7.75 s , x = 387.5 m
d) t = 10.64 s , x = 463.9 m , v = 92.2 m / s
Explanation:
This is an exercise in kinematics, suppose we take the upward direction as positive
a) is thrown up vertically.
Let's use the equation
y = y₀ + v₀ t - ½ g t²
When reaching the ground y = 0, the initial height is y₀ = 300 m and the initial velocity is v₀ = + 50m / s, to simplify we use g = 10 m /s² as the value of the acceleration of gravity, for a more exact calculation we can must use 9.80 m /s²
0 = y₀ + v₀t - ½ g t²
½ 10 t² - 50 t - 300 = 0
Let's solve the quadratic equation
t² - 10 t - 60 = 0
t = [10 ±√ (10² + 4 60)] / 2
t = [10 ± 18.4] / 2
t₁ = 14.2 s
t₂ = -4.2 s
since time must be a positive quantity, the correctors result t = 14.2 s
the speed at this point is
v = v₀ - g t
v = 50 - 10 14.2
v = -92 m / s
the sign indicates that the body is going down
b) in this case the initial velocity is vo = -50 m / s
let's calculate the velocity on the ground
v² = v₀² - 2g (y-y₀)
v² = 50 2 - 2 10 ((0- 300)
v² = 3500
v = + - 59.16 m / s
as the body is going down the correct sign is the negative
v = - 59.16 m / s
the time it takes to arrive is
v = v₀ - g t
t = (v₀ - v) / g
t = (-50 + 59.16) / 10
t = 0.916 s
c) the velocity is horizontal (vox = 50 m / s), this implies that the vertical velocity is zero voy = 0
y = y₀ + v₀ t - ½ g t²
0 = 300 + 0 - ½ 10 t²
t = √ (2 300/10)
t = 7.75 s
the horizontal displacement at this time is
x = v₀ₓ t
x = 50 7.75
x = 387.5 m
d) as it is thrown with an angle let's find each component of the velocities
v₀ₓ = v₀ cos 30
\(v_{oy}\) = v₀ sin 30
v₀ₓ = 50 cos 30 = 43.3 m / s
v_{oy} = 50 sin 30 = 25 m / s
we look for the time of descent
y = y₀ + v_{oy} t - ½ g t²
0 = y₀ + v_{oy} t - ½ g t²
0 = 300 + 25 t - ½ 10 t²
t² - 5t - 60 = 0
we solve the second degree equation
t = [5 ±√ (5² + 4 60)] / 2
t = [5 ± 16.28] / 2
t₁ = 10.64 s
t₂ = -5.64 s
since the time must be positive the result is t = 10.64 s
the range on the x axis is
x = v₀ₓ t
x = 43.6 10.64
x = 463.9 m
the ground speed is
v_{y} = \(v_{oy}\) - g t
v_{y} = 25 - 10 10.64
v_{y} = -81.4 m / s
speed is
v = √ (v₀ₓ² + v_{y}²)
v = √ (43.3² + 81.4²)
v = 92.2 m / s
Activity: Teacher has wound a long insulated piece of wire around an iron nail in the form of a coil. Free ends of the wire are connected to a cell through a switch as shown in the Figure.
The current is switched on and some pins are placed near the ends of the nail.
(i) Why does the nail attract the pins?
The nail attract the pins because current will generate and therefore it will attract the nails.
What is current?A stream of charged particles, such as electrons or ions, traveling through an electrical conductor or a vacuum is known as an electric current.
The net rate of electric charge flowing through a surface or into a control volume is how it is calculated. Charge carriers, which can be any of a number of particle kinds depending on the conductor, are the moving particles.
Electrons flowing over a wire are frequently used as charge carriers in electric circuits. They can be electrons or holes in semiconductors. Ions are the charge carriers in an electrolyte, whereas ions and electrons are the charge carriers in plasma, an ionized gas.
Therefore, The nail attract the pins because current will generate and therefore it will attract the nails.
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ways to report potential fraud, waste, and abuse (fwa) include:
There are many ways to report fraud like hotlines, online reporting, email or postal mail, and in person reporting.
There are several ways to report potential fraud, waste, and abuse (FWA) depending on the situation and the reporting individual's preference.
Hotlines - Many organizations have established hotlines that allow individuals to confidentially report potential FWA. These hotlines are often staffed by trained professionals who can assist with the reporting process and provide guidance on next steps.Online reporting - Some organizations have established online reporting portals that allow individuals to submit a report of potential FWA via the internet. These portals often allow individuals to submit a report anonymously and securely.Email or Postal Mail - Some organizations may accept reports of potential FWA through email or postal mail.In-Person reporting - Individuals may choose to report potential FWA in person, either to their immediate supervisor, a designated manager, or to a designated FWA reporting office.It is important for individuals to feel confident that their report will be taken seriously and treated confidentially.
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A car drives 10km with a speed of 72 km/hr and then runs out of gas. Then you walk 2km for the next 30 min
until you find a gas station.
Given :
A car drives 10 km with a speed of 72 km/hr and then runs out of gas.
Then you walk 2 km for the next 30 min until you find a gas station .
To Find :
The average speed of whole journey .
Solution :
Average speed is given by :
\(v_{avg}=\dfrac{\text{Total distance covered}}{\text{Total time taken}}\\\\v_{avg}=\dfrac{10+2}{\dfrac{10}{72}+\dfrac{1}{2}}\\\\\\v_{avg}=18.78\ km/hr\)
Hence , this is the required solution .
Why is the global temperature increasing? Explain the science behind it.
Select the correct images. Which images show chemical reactions?
Melting ice
mixer, nuts, bolts, washers
rusted nails
pastries
Answer:
Here you go! Hope it Helps
Explanation:
mixer, nuts, bolts, washers
and
rusted nails
Answer:
The Correct answer is rusted nails and pastries
Explanation:
I know because I had this as one of my questions and I did rusted nails and pastries and got it correct.
Hope this helps! :)
Complete the following nuclear equation and state the type of decay occurring?
The complete nuclear equation is ⁴²₁₉K -> ⁴²₂₀Ca + ⁰₋₁e and the type of decay is beta decay (last option)
How do i complete the nuclear equation?To obtain the complete equation, we first obtain the missing part. The missing part of the equation can be obtain as follow:
Let the missing part be ʸₓZThus, the equation becomes:
⁴²₁₉K -> ʸₓZ + ⁰₋₁e
Now, can obtain the value of x, y and Z. Details below::
for x
19 = x - 1
Collect like terms
x = 19 + 1
x = 20
For y
42 = y + 0
y = 42
For Z
ʸₓZ => ⁴²₂₀Z => ⁴²₂₀Ca
Thus, the complete equation is:
⁴²₁₉K -> ⁴²₂₀Ca + ⁰₋₁e
In nuclear reaction, the symbol ⁰₋₁e represents beta decay.
Therefore, we can conclude that the correct answer to the question is:
⁴²₁₉K -> ⁴²₂₀Ca + ⁰₋₁e, beta decay (last option)
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if the current in the long straight wire is increasing, what current is induced in the circular loop?
If the current in a long straight wire is increasing, the current is induced in the circular loop will be generated in the nearby circular loop.
Faraday's Law states that the electromotive force (EMF) induced in a circuit is proportional to the rate of change of magnetic flux passing through it. As the current in the straight wire increases, the magnetic field around it strengthens, and the change in magnetic flux through the circular loop causes an induced current. The direction of this induced current is determined by Lenz's Law, which states that the induced current will flow in such a way as to oppose the change in magnetic flux causing it.
In this case, as the magnetic field due to the straight wire increases, the induced current in the circular loop will flow in a direction that generates a magnetic field opposing the increase in the straight wire's magnetic field. The magnitude of the induced current depends on the rate of change of the magnetic field, the loop's size, shape, and distance from the straight wire, as well as the resistance of the loop's material. If the current in a long straight wire is increasing, the current is induced in the circular loop will be generated in the nearby circular loop.
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A 20kg block is sliding down a 30° ramp at a constant velocity. Calculate the normal force acting on the block. Calculate the coefficient of kinetic friction between the block and the ramp.
Let me try:
Normal force= 169.74N
Coefficient of kinetic friction= 0.577
Explanation
a. For a given inclined plane, normal friction is equal to the force perpendicular to the plane which is equal to
mgcos theta = 20×9.8× cos30 = 169.74N
b. The coefficient of kinetic friction for an inclined plane is given as
tan theta =tan 30 = 0.577
imagine holding two identical bricks in place under water. brick 1 is just beneath the surface of water, while brick 2 is held about 2 feet down. the force needed to hold brick 2 in place is
Holding Brick 2 in place requires more force than holding Brick 1 just beneath the water's surface due to the higher pressure and buoyant force acting on it at a greater depth.
The force needed to hold Brick 2 in place underwater is greater than the force needed to hold Brick 1 just beneath the surface. This difference in force is primarily due to the increased pressure acting on Brick 2 as a result of its deeper position in the water.
In this scenario, there are two main forces acting on the bricks: the gravitational force, also known as weight (W), and the buoyant force (Fb). The weight of the bricks remains constant regardless of their position, as it depends only on their mass and the acceleration due to gravity. The buoyant force, on the other hand, depends on the volume of fluid displaced by the bricks and the density of the fluid, which in this case is water.
The pressure in a fluid increases with depth, which means that the buoyant force acting on Brick 2 is greater than that acting on Brick 1. Consequently, to keep Brick 2 submerged at a depth of 2 feet, you would need to exert a greater force to counteract the increased buoyant force.
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A polar bear walks 40 meters North, then 20 meters East , then 40 meters south. The bear completes his trip in 10 seconds. what is the bear's total distance traveled ?
The total distance travelled is 100 m.
What is the total distance traveled ?We know that distance is a scalar quantity. Let us note that scalar quantities are the quantities that do not have a direction rather they do have magnitude. This is where the vector is different from the scalar quantity in physics.
Looking at this description, we are told that the polar bear walks 40 meters North, then 20 meters East , then 40 meters south. We can see that the total distance can be obtained by the addition of all the distances travelled.
Total distance travelled is; 40 + 20 + 40 = 100 m
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A spherical interplanetary probe, with a diameter of 2 m, is sent out into the solar system. The probe surface is made of material having an emissivity of 0.9 and an absorptiv- ity of 0.1. Signals from the sensors monitoring the probe sur- face temperatures are indicating an average value of -40°C for a space temperature of 0 K. If the electronics inside the probe is generating heat at a rate of 100 W/m3, determine the incident radiation rate on the probe surface.
A spherical interplanetary probe, with a diameter of 2 m, is sent out into the solar system. If the electronics inside the probe is generating heat at a rate of 100 W/m3, determine the incident radiation rate on the probe surface is as follow:
The amount of incident radiation that falls on a spherical interplanetary probe can be determined using the following steps:
Step 1: Find the surface area of the probe.
The surface area of the probe can be found using the formula for the surface area of a sphere which is:
A = 4πr²
Where A is the surface area and r is the radius of the sphere.
Since the diameter of the probe is given, the radius can be found by dividing the diameter by
2.r = d/2 = 2/2 = 1 m
Hence, the surface area of the probe is:
A = 4πr²= 4π(1)²= 4π m²Step 2:
Find the net radiation heat transfer rate.The net radiation heat transfer rate can be found using the following formula:
Qnet = εσA(Tprobe⁴ − Ts⁴)
Where Qnet is the net radiation heat transfer rate, ε is the emissivity of the probe surface, σ is the Stefan-Boltzmann constant (5.67 × 10⁻⁸ W/m²K⁴), A is the surface area of the probe, Tprobe is the temperature of the probe surface, and Ts is the temperature of space.
Here, the temperature of space is given as 0 K while the temperature of the probe surface is -40°C.
So, the temperatures need to be converted to Kelvin. Tprobe
= (−40 + 273.15) K= 233.15 KTs = 0 K
Hence, Qnet = εσA(Tprobe⁴ − Ts⁴)
= 0.9 × 5.67 × 10⁻⁸ × 4π × 1²(233.15⁴ − 0⁴)
= 629.21 W
Step 3: Find the heat generation rate of the electronics inside the probe.
The heat generation rate of the electronics inside the probe is given as 100 W/m³. Since the volume of the probe can be found using the formula for the volume of a sphere which is:
V = (4/3)πr³= (4/3)π(1)³= 4.19 m³
Then, the total heat generated by the electronics inside the probe is:
Qe = 100 W/m³ × 4.19 m³
= 419 W
Step 4: Find the incident radiation rate on the probe surface.The incident radiation rate on the probe surface is the sum of the net radiation heat transfer rate and the heat generation rate of the electronics inside the probe. Hence, the incident radiation rate is:
Qi = Qnet + Qe
= 629.21 W + 419 W
= 1048.21 W
Therefore, the incident radiation rate on the probe surface is 1048.21 W.
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hydrostatic pressure force always acts on the centroid of the area. true false
False. Hydrostatic pressure force does not always act on the centroid of the area.
The statement that hydrostatic pressure force always acts on the centroid of the area is false. Hydrostatic pressure is the pressure exerted by a fluid at rest due to the weight of the fluid above it. It depends on the depth and density of the fluid and is perpendicular to any surface it acts upon.
When considering a submerged surface, such as a submerged plate or wall, the hydrostatic pressure force is indeed applied normal to the surface. However, this force does not necessarily act at the centroid of the area. The distribution of hydrostatic pressure forces depends on the shape and orientation of the surface.
For irregularly shaped surfaces or surfaces with varying depths, the hydrostatic pressure force acts differently at different points. It follows the principle of Pascal's law, which states that the pressure at a point in a fluid is transmitted equally in all directions. As a result, the force distribution can vary across the surface.
In summary, the hydrostatic pressure force does not always act on the centroid of the area. Its distribution depends on the shape, orientation, and depth of the submerged surface, following the principles of Pascal's law.
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Is the wavelength of a wave that has a wave frequency of 125 Hz and a speed of 160000 m/s
Answer:
1280m
Explanation:
12) A student group sets up an experiment to test the effects of various chemicals on the temperature of the water in which they are dissolved. The student takes the initial temperature of three different solutions (0 minutes) and mixes calcium chloride or ammonium nitrate with water. The temperature of the solution is observed and recorded every five minutes thereafter. The data table is shown here. A student is challenged by the teacher to design a product that could be used as a hand warmer. Based on the results of the experiment shown here, formulate the correct components of a hand warmer device, A) water only B) water and ammonium nitrate water and calcium chloride D) water, ammonium nitrate, and calcium chloride
Answer:
c.water and calcium chloride
Explanation:
i took the test
Answer:
water and calcium chloride
Explanation:
(WILL MARK BRAINLIST) Pure substances can be made of atoms that are attracted to each other or atoms that are not attracted to each other. Which type of pure substance can create elaborate structures? (1 point)
Atoms that are attracted to each other because the bonds that form between them can support the creation of the structure.
Atoms that are attracted to each other because they will mix together to form a mixture with a different structure.
Atoms that are not attracted to each other because they will form bonds with each other and create a larger structure.
Atoms that are not attracted to each other because they will stay still and end up laying on top of each other.
→ Pure substances can be made of atoms that are attracted to each other or atoms that are not attracted to each other. Which type of pure substance can create elaborate structures?
SOLUTION;Option c) Atoms that are not attracted to each other because they will form bonds with each other and create a larger structure.
A rock is thrown vertically upward at an initial velocity of 70 m/s. What is the approximate acceleration of the rock when it reaches its maximum height (assume upward is the positive y direction)?
Answer:
Zero.
Explanation:
Given that a rock is thrown vertically upward at an initial velocity of 70 m/s. What is the approximate acceleration of the rock when it reaches its maximum height
(assume upward is the positive y direction)?
Since the reached the maximum height, the final velocity V will be equal to zero.
Using the first equation of motion to find the time.
And since it is a vertical direction, and not horizontal, the acceleration a will be equal to zero.
Two forces P and Q acting at a point at an angle have their resultant
(2n + 1)√P2 + Q2 and when at an angle (90° - ),the resultant is(2n - 1)√P2 + Q2.
Show that tan = (n - 1)/( n + 1).
Answer:
Answer is given in this paper.
Thank You
Please mark me Brainlest.
Two wires of circular cross section are made of the same metal. Wire 1 has radius rr and length LL; wire 2 has radius 2r2r and length 2L2L. The potential difference between the ends of the wire is the same for both wires. Find the ratio of the resistance of wire 2 to the resistance of wire 1.
Answer:
Ratio of wire 2 to wire 1 is 0.5 : 1
Explanation:
Wire 1:
length = L
radius = r
Wire 2:
length = 2L
radius = 2r
Resistance of a conductor varies directly as the length and inversely as the cross sectional area. Mathematically
\(R = \frac{pl}{a}\)
l = length of conductor
a = cross sectional area of the conductor
p = resistivity of the material with which the conductor is made.
since we are considering the same material, we can ignore the resistivity of the wire.
For wire 1
cross sectional area = \(\pi r^{2}\)
therefore,
resistance R = \(\frac{L}{\pi r^{2} }\)
For the second wire 2
cross sectional area = \(4\pi r^{2}\)
therefore,
resistance R = \(\frac{2L}{4\pi r^{2} }\)
Ratio of wire 2 to wire 1 will be
\(\frac{2L}{4\pi r^{2} }\) ÷ \(\frac{L}{\pi r^{2} }\) = \(\frac{2L}{4\pi r^{2} }\) x \(\frac{\pi r^{2} }{L}\)
Ratio of resistance of wire 2 to wire 1 = 2/4 = 0.5 : 1
Find a unit vector perpendicular to the vectors given A=4i+2j+2k and B=4i-4j+8k.
The cross product of A and B is perpendicular to both A and B.
A × B = (4i + 2j + 2k) × (4i - 4j + 8k)
A × B = 16 (i × i) - 16 (i × j) + 32 (i × k) + 8 (j × i) - 8 (j × j) + 16 (j × k) + 8 (k × i) - 8 (k × j) + 16 (k × k)
A × B = -16 (i × j) - 32 (k × i) - 8 (i × j) + 16 (j × k) + 8 (k × i) + 8 (j × k)
A × B = -16k - 32j - 8k + 16i + 8j + 8i
A × B = 24i - 24j - 24k
The magnitude of A × B is
||A × B|| = 24 ||i - j - k|| = 24√3
Dividing A × B by its magnitude gives a unit vector,
(A × B)/||A × B|| = 1/√3 (i - j - k)
Suppose that a simple circuit comprising one voltage source and one metallic resistor yields current I. If the resistor were replaced with another resistor that is identical except that it has 75% lower conductivity, then I would:
If the resistor in a simple circuit is replaced with another resistor that has 75% lower conductivity, the current (I) in the circuit would decrease.
In a simple circuit, the current flowing through a metallic resistor is determined by Ohm's Law, which states that the current (I) is directly proportional to the voltage (V) applied across the resistor and inversely proportional to the resistance (R) of the resistor (I = V/R).
When the resistor is replaced with another resistor that has 75% lower conductivity, it means that the new resistor has a higher resistance compared to the original resistor. Since resistance is in the denominator of the current equation, an increase in resistance leads to a decrease in current.
Therefore, the current (I) in the circuit would decrease when the resistor with lower conductivity is introduced. This relationship between resistance and current is consistent with Ohm's Law, which establishes the fundamental relationship between voltage, current, and resistance in a circuit.
By manipulating the resistance value, the current flowing through the circuit can be controlled.
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It is important to increase your flexibility.
true or false?
Answer:
true
Explanation:
is an important component of physical fitness and has many positive effects on the body
Answer:
It's True
Developing flexibility helps yourself:
Fewer injuries. Once you develop strength and flexibility in your body you'll be able to withstand more physical stress.Less pain.Improved posture and balance.A positive state of mind.Greater strength.Improved physical performance.For more question about the topic click/copy the link below:
https://brainly.ph/question/1672452
https://brainly.ph/question/171899
what keeps both the cars pressed down on the road?
Answer:
Gravity
Explanation: