At high density of the molecules tends to be greater pressure that of molecules and at low density of the molecules tends to be less pressure that of molecules.
It is given that the molecules are in the ideal gas.
It is required to find the greatest effect of the finite size of molecules on the ideal gas law.
What would be the greatest effect of the finite size of molecules on the ideal gas law?According to ideal gas law, at high density of the molecules tends to be greater pressure that of molecules and at low density of the molecules tends to be less pressure that of molecules.
From ideal gas equation,
PV = nRT
Where,
P - Pressure of the molecules
V - Volume of the molecules
n - Total amount of substance
R - Gas constant
T - Temperature of the molecules
As shown from above equation, both the quantities are directly proportional to each other and also ideal gas law follows the kinetic molecular theory where it suggests that the volume of the molecules have negligible point.
Thus, at high density of the molecules tends to be greater pressure that of molecules and at low density of the molecules tends to be less pressure that of molecules.
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A loop of area 0.100 m² is oriented at a 15.5 degree angle to a 0.500 T magnetic field. It rotates until it is at a 45.0 degree angle with the field. What is the resulting CHANGE in the magnetic flux? [?]Wb
I NEED THIS FAST PLEASE!!!
The resulting change in the magnetic flux is =0.013Wb
what is magnetic flux?
Magnetic flux is defined as the total magnetic field which passes through a given area.It is the number of magnetic field lines that is flowing in a closed area.
Given:
At degree =15.5°,magnetic flux=magnetic field=0.500T
At degree=45.0°, magnetic field=0.500T
Magnetic flux=magnetic field ×Area×cos(angle)
magnetic flux (1) = 0.500×0.1×cos(15.5)
= 0.048
magnetic flux (2) = 0.500×0.1×cos(45)
=0.035
Resulting change in flux = 0.048-0.035
= 0.013Wb
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A small fly of mass 0. 30 g is caught in a spider's web. the web oscillates predominantly with a frequency of 4. 3 hz. part a what is the value of the effective spring stiffness constant k for the web?
A small fly of mass 0. 30 g is caught in a spider's web. the web oscillates predominantly with a frequency of 4.3 Hz. The value of the effective spring stiffness constant k for the web is 0.21 N/m
Frequency of the oscillation is the number of oscillation in per unit time. It's SI unit is Hertz or s⁻¹.
Spring stiffness constant k is a measure of the stiffness of spring.
The Frequency of the oscillation is given by the following formula:
f = [tex]\sqrt{k/4\pi m}[/tex]
where, f is the frequency of web
k is the stiffness constant of web
m is the mass of small fly
On rearranging the above equation,
k = 4π²f²m
⇒ k = 4 (3.14)² (4.3)² 0.0003
⇒ k = 0.21 N/m
Hence, the Stiffness constant k for the web is 0.21 N/m
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Factors that affect mechanical advantage of a machine
Hi there! Your answer is below.
Pulley sizes, cylinder size ratios, screw pitch, leverage, gear ratios, and pulley sizes
The MA increases yet the work takes longer to complete the farther the applied effort goes relative to the load. An excessive increase in the MA may be counterproductive.
Bicycle derailleurs are the most obvious example of variable MA.
Choose a low gear to climb hills more easily, but if you don't switch to another one on the flat, you'll be pedaling frantically and quickly getting nowhere. (Of course, you progress, but slowly.)
I frequently use bicycles as illustrations of intricate mechanics. They aren't actually toys at all!
Thank you,
Eddie
the quantities that have only magnitude are called vector quantities.(T or F)
Answer:
F
Explanation:
When comparing two vector quantities you have to compare both magnitude and direction,but for scalar you only compare magnitude
❄ Hi there,
the answer is F, false.
∵
Vectors have both magnitude and direction, where:
magnitude = length of the arrow that represents the vector
direction = angle
∴ quantities that have only magnitude are not called vector quantities
❄
Which turbine takes the lesser amount of time to rotate through 1. 0 radian of angular displacement?
Both the turbines take same amount of time to rotate through 1. 0 radian of angular displacement.
Given,
[tex]R_{A}[/tex] = [tex]2R_{B}[/tex]
[tex]V_{A}[/tex] = [tex]2V_{B}[/tex]
As, angular velocity is, ω
So, ω[tex]_{A}[/tex] = [tex]V_{A}[/tex] / [tex]R_{A}[/tex]
ω[tex]_{A}[/tex] = 2[tex]V_{B}[/tex] / 2[tex]R_{B}[/tex]
ω[tex]_{A}[/tex] = [tex]V_{B}[/tex] / [tex]R_{B}[/tex]
also, ω[tex]_{B}[/tex] = [tex]V_{B}[/tex] / [tex]R_{B}[/tex]
And angular displacement is , θ
θ = ω / t
t = θ / ω
[tex]t_{A} = t_{B}[/tex] = [tex]R_{B}[/tex] / [tex]V_{B}[/tex]
Therefore, Both the turbines take same amount of time to rotate through 1. 0 radian of angular displacement.
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The fixed assets turnover ratio of gd products is 13. 6 and that of its competitor, ap goods inc. , is 6. 0. what does this financial data primarily imply?
The correct answer is GD Products collects receivables more quickly than AP Goods.
Analysts typically utilize the fixed asset turnover ratio (FAT) to gauge operating performance. This efficiency ratio assesses a company's capacity to generate net sales from its fixed-asset investments, specifically property, plant, and equipment (PP&E). It compares net sales (income statement) to fixed assets (balance sheet) (PP&E). Utilized as a net of accumulated depreciation is the fixed asset balance. A greater fixed asset turnover ratio shows that a business has utilized fixed asset investments to drive sales effectively. A greater ratio suggests that management is making better use of its fixed assets. No information can be gleaned from a high FAT ratio about a company's capacity to produce reliable earnings or cash flows.
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The energy a molecule contains due to its constant random motion is known as ____________.
A. potential energy
B. thermal energy
C. kinetic energy
D. internal energy
Which term describes the specific location where light rays meet after passing through a lens?
A Final statement or concluding statement
Light rays meet at Focal Point after passing through a lens.
What is a Focal Point?A focus is a place at which light or other forms of radiation converge.
A beam that enters a diverging lens parallel to its axis seems to originate at the focal point F.
A beam passing through the focal point of a converging lens departs parallel to its axis.
Parallel light rays from the right enter a converging lens at its focal point on the left.
Light rays entering a converging lens parallel to its axis converge at the lens's focal point F.
The focal length of a lens is the distance between its center and its focal point.
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Why is it necessary to level the rotating platform? How would the motion of the revolving mass be affected if the base were not level? Explain
It necessary to level the rotating platform to maintain uniform circular motion.
The outcomes will be negatively impacted if the platform is not level since the heavy end will sway toward the side that is low.
To maintain a balance of the speed it is necessary to level the rotating platform.
What is uniform circular motion?When a particle follows a circular path while maintaining a constant speed, its motion is described as being uniformly circular.
Why is circular motion uniform?A body moving in a circular motion while maintaining a consistent speed is known as uniform circular motion. The velocity changes, but the speed doesn't. A particle's speed is constant if it is moving in a circular motion.Why is uniform circular motion important?Uniform circular motion is a crucial example of direction change while keeping constant speed. In that instance, the object's direction must change continuously in order to keep it moving in a circle while the object's speed remains constant, therefore "uniform."To learn more about uniform circular motion visit:
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5
A car starting from rest travels 36m in 6s. Find the car's acceleration and its
velocity at this time.
Answer:
I don't know of velocity but
acceleration: 6m/s
Explanation:
here
initial velocity(u):0m/s
final velocity(v):36m
time taken(t): 6s
now
a:v-u/t
or a: 36-0/6
a:6m/s#
The model of a pot of water being heated on a stove shows thermal energy transfer. Which of the following BEST describes how thermal energy is transferred to the water in the pot?
A
Water in the pot is heated by conduction. Thermal energy from the pot is directly transferred to the water at the top of the pot through conduction.
B
Water in the pot is heated by conduction. Thermal energy from the burner is transferred directly to the water at the bottom of the pot through conduction.
C
Water in the pot is heated by convection. Water molecules at the top of the pot warm up and sink while cooler water molecules rise to the top of the pot, creating convection currents.
D
Water in the pot is heated by convection. Water molecules at the bottom of the pot warm up and rise while cooler water molecules sink to the bottom of the pot, creating convection currents.
D. Water in the pot is heated by convection. Water molecules at the bottom of the pot warm up and rise while cooler water molecules sink to the bottom of the pot, creating convection currents.
What is convection current?Convection currents are flowing fluid that is moving because there is a temperature or density difference within the material.
Convection heat transfer takes place only in liquids and gases.
During heat transfer by convection, the heated air will rise to the top due o its lower density while the cooler air will sink to the bottom due to its higher density.
Thus, for the model of a pot of water being heated on a stove that shows thermal energy transfer, the heat transfer occurs when the water in the pot is heated by convection. Water molecules at the bottom of the pot warm up and rise while cooler water molecules sink to the bottom of the pot, creating convection currents.
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Heat is transferred to the water. The water molecules which are in the pot become more active, and the temperature of the water rises.
What is the Kinetic energy?
Kinetic energy is the energy of the objects which is present due to the motion of the object. Kinetic energy is proportional to the mass and velocity of the object. The SI unit of Kinetic energy is Joule (J).
The kinetic energy is possessed due to the motion of the particles. The kinetic energy is directly proportional to the temperature of objects. The kinetic energy of the particles increases with the rise in temperature of object or solution.
In the given situation, the pot of water is placed on the stove. Then, the heat is transferred to the water in pot. The water molecules will move faster with the rise in temperature of the water. The water molecules will have greater amount of kinetic energy due to increase in temperature.
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When we come out in the sun, we feel warm. How does the heat from the sun reach us?
Answer:
RadiationExplanation:
Greetings !The Sun reaches us by propagating through the vacuum of space. Sunlight reaches the Earth in about 8 minutes and 20 seconds. When this energy reaches the Earth's atmosphere, both conduction and convection play key roles to scatter it throughout the planet.
Answer: The heat from the sun reaches us through radiation and processes such as conduction and convection helps to scatter that heat on the surface of our planet.
Explanation:
The phenomenon behind the Sun's heat reaching us is radiation. It does this by propagating through the vacuum of space.
The amount of time it takes for the sunlight to reach us on Earth is approximately 8 minutes and 20 seconds. When it reaches our planet, conduction, the movement of heat or electricity through a medium or passage, as well as convection, the rising of hotter and less dense material and sinking of colder and more dense/denser material, helps to scatter the heat on Earth's surface.
Each of the gears a and b has a mass of 675 g and has a radius of gyration of 40 mm, while gear c has a mass of 3. 6 kg and a radius of gyration of 100 mm. Assume that kinetic friction in the bearings of gears a, b, and c produces couples of constant magnitude 0. 15 n·m, 0. 15 n·m, and 0. 3 n·m, respectively. Knowing that the initial angular velocity of gear c is 2000 rpm, determine the time required for the system to come to rest.
9.87 seconds
The time required for this system to come to rest is equal to 9.87 seconds.
We have the following data:
Mass of gear A = 675 g to kg = 0.675 kg.
Radius of gear A = 40 mm to m = 0.04 m.
Mass of gear C = 3.6 kg.
Radius of gear C = 100 mm to m = 0.1 m.
How can I calculate the time needed?
We would need to figure out the moment of inertia for gears A and C in order to compute the time needed for this system to come to rest.
Mathematically, the following formula can be used to determine the moment of inertia for a gear:
I = mr²
Where:
m is the mass.
r is the radius.
We have, For gear A:
I = mr²
I = 0.675 × 0.04²
I = 0.675 × 0.0016
I = 1.08 × 10⁻³ kg·m².
We have, For gear C:
I = mr²
I = 3.6 × 0.1²
I = 3.6 × 0.01
I = 0.036 kg·m².
The initial angular velocity of gear C would therefore be converted as follows from rotations per minute (rpm) to radians per second (rad/s):
ωc₁ = 2000 × 2π/60
ωc₁ = 4000π/60
ωc₁ = 209.44 rad/s.
Also, the initial angular velocity of gears A and B is given by:
ωA₁ = ωB₁ = rc/rA × (ωc₁)
ωA₁ = ωB₁ = 0.15/0.06 × (209.44)
ωA₁ = ωB₁ = 2.5 × (209.44)
ωA₁ = ωB₁ = 523.60 rad/s.
Taking the moment about A, we have:
I_A·ωA₁ + rA∫F_{AC}dt - M(f)_A·t = 0
On Substituting the given parameters into the formula, we have;
(1.08 × 10⁻³)·(523.60) + 0.06∫F_{AC}dt - 0.15t = 0
0.15t - 0.06∫F_{AC}dt = 0.56549 ----->equation 1.
Similarly, the moment about B is given by:
0.15t - 0.06∫F_{BC}dt = 0.56549 ------>equation 2.
Note: Let x = ∫F_{BC}dt + ∫F_{AC}dt
Adding eqn. 1 & eqn. 2, we have:
0.3t - 0.06x = (0.56549) × 2
0.3t - 0.06x = 1.13098 ------>equation 3.
Taking the moment about A, we have:
Ic·ωc₁ - rC∫F_{AC}dt - rC∫F_{BC}dt - Mc(f)_A·t = 0
0.036(209.44) - 0.3t - 0.15(∫F_{BC}dt + ∫F_{AC}dt) = 0
0.3t + 0.15x = 7.5398 ------->equation 4.
Solving eqn. 3 and eqn. 4 simultaneously, we have:
x = 30.5 Ns.
Time, t = 9.87 seconds.
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HELP PLS PLS PLS I WILL MARK U BRAINLIEST!!!
Answer:
glass is optically denser as it is a optical material having more index number above the list
Answer:
zicron
Explanation:
it has a large refractive index
A tortoise can move with a speed of 10.0cm/s, while a rabbit can move 10 times faster. In a race, both of them started at the same time, but the rabbit stopped to rest for three minutes. The tortoise wins by a distance of 10cm from the rabbit. How long is the race?
A. 125.2s
B. 159.8s
C. 199.9s
D. 205.7s
Answer:
C. 199.9 s
Explanation:
3 minutes = 3×60 = 180 seconds.
the turtle moves in that time 180×10 = 1800 cm.
in other words the rabbit gave it that much head-start (it does not matter if that was at the begin of in the middle of the race).
the rabbit moves with 10×10cm/s = 100cm/s.
the rabbit needs therefore 1800/100 = 18 seconds for the
1800 cm.
at that time the turtle has added another 18×10 = 180 cm.
for which the rabbit needs 180/100 = 1.8 seconds.
during that time the turtle has added 1.8×10 = 18 cm.
and so on.
in formal mathematics this looks like this :
1800 + 10x = 100x
after x seconds of the rabbit running both will have run the same distance, and it is a tie.
1800 = 90x
x = 20 seconds
so, at that point, the rabbit was actively running for 20 seconds and raced 20×100 = 2000 cm
and the turtle was actively running for 180 + 20 = 200 seconds, and also covered 200×10 = 2000 cm.
but our question tells us that the turtle won by 10 cm.
so, the race was over a little bit before these 200 seconds (for a tie).
this means, the rabbit could not run the last 10 cm for the tie (because the race was over and the turtle had won).
the rabbit would have needed 10/100 seconds for these 10 cm.
as speed = distance/time
we need to divide distance by speed
distance/1 / distance/time
to get time.
so,
10cm/1 / 100cm/s = 10s/100 = 1/10 s
so, we need to deduct this 1/10 s from the 200 seconds of the turtle (and also from the 20 seconds for the rabbit).
the race lasted of course the whole time the turtle was running (while the rabbit was resting, officially still participating in the race with speed 0 for 3 minutes).
and so, the race was 199.9 s long.
The helium-neon lasers most commonly used in student physics laboratories have average power outputs of 0. 250 mw. True or false?.
True
The helium-neon lasers most commonly used in student physics laboratories have average power outputs of 0. 250 mw
Intensity of laser beam is 72.3W/m²
Given:
average power output = 0. 250 mw
To Find: intensity of laser beam
Solution:First of all, we need to find the area of the circular spot, which is given by:
A = πr^2
where r is the radius of the spot, which is half the diameter, therefore
r = d/2 = 2.10mm/2 = 1.05mm = 1.05 x 10^-3m
So, the area of the spot is
A = π(1.05 10^-3m)^2 = 3.46 10^-6m²
We know that the power output of the laser is
P = 0.250mW = 2.5.10^-4W
So the intensity of the laser beam is
I = P/A = 2.5^-10 W/3.46-10^-6m^2 = 72.3W/m²
So, intensity of laser beam is 72.3W/m²
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If the 20-mm-diameter rod is made of a-36 steel and the stiffness of the spring is k = 67 mn/m , determine the displacement of end a when the 60-kn force is applied. take e = 200 gpa
The displacement at the end of A is 1.09 mm
According to the question,
Rod's diameter, d= 20 mm
Stiffness constant, k = 55 M-N/m or,
= 55 × 10⁶ N/m
Force, f = 60 kN or,
= 60 × 10³ N
Young's modulus, E = 200 Gpa or,
= 200 × 10⁹ pa
We know the formula,
A=[tex]\pi d^2 /4[/tex]
By substituting the values,
= [tex]\pi (0.02)^{2} /4[/tex]
=0.0003 m³
length, L =A×E/K
=1.14 m
hence,
The displacement be:
60×10³×1.14/0.0003×200×10³×10³×10³=1.09 mm
Displacement is 1.09 mm
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The displacement of end a is 1.09mm
given:
Rod diameter,d=20mm
stiffness constant,k=55mn/m
force,f=60kn
young modulus,E= 200gpa
we know the formula
[tex]\pi \: d {}^{2} /4[/tex]
By substituting values in the above formula
[tex] = \pi(0.02) {}^{2} /4[/tex]
[tex] = 0.0003m {}^{3} [/tex]
length L=A×E/K
=1.14m
Hence, displacement is
[tex]60 \times 10 {}^{3} \times 1.14 \times/0.0003 \times 200 \times 10 {}^{3} \times 10 {}^{3} \times 10 {}^{3} [/tex]
=1.09mm
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What is the frequency in hertz of a signal that repeats 80,000 times within one minute? What is its period?
1333.3 is the frequency in the hertz of a signal that repeats 80,000 times within one minute. 0.00075 is its period.
The frequency of a repeated event is its number of instances per unit of time. In some cases, it is also referred to as temporal frequency or ordinary frequency to underline differences with spatial and angular frequencies, respectively.
The length of time it takes for a particle in a medium to complete one full vibrational cycle is the period of a wave. Being a time, a period is measured in time units like seconds, hours, days, or years. The Earth's orbit around the Sun has a duration of around 365 days, and one cycle of the Earth lasts 365 days.
frequency = cycle /second
frequency = 80000 / 60
frequency = 1333.3 hertz
Period = 1 / frequency
Period = 1 / 1,333.3
Period = 0.00075
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Peripheral vision is the sharpness of your eyesight that is very important in driving a vehicle? true or false?
True.
Peripheral vision is very important in driving a vehicle.
What is peripheral vision?Peripheral vision is the area of your field of vision that is not directly in front of you. You can keep your eyes on what's in front of you while using peripheral vision to see when other automobiles are passing you. For example, peripheral vision can tell you when it's safe to cross a street, when a pedestrian is attempting to cross, or when you need to go to the car wash because a bird just peed on your window.
Peripheral vision works in conjunction with central vision to help you make informed driving decisions. You can spot potential dangers before they enter your field of vision by using your peripheral vision.
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What is the separation in meters between two slits for which 617 nm orange light has its first maximum at an angle of 29. 8°?
The separation between the two slits, d is related to the wavelength, and angle using the formula below. Hence, the value of d is 1.22 x 10⁻⁶ m.
For ease of calculations we take 29.8° = 30°
Using the relation :
[tex]\frac{m * λ }{sin\theta}[/tex]
where :
d = distance between the slits
θ = 30°
λ = wavelength of light = 617 nm = 6.17 x 10⁻⁷ m
m = 1
Substituting the values into the equation :
d = 1 x 6.17 x 10⁻⁷ / 0.5 = 0.00000122 = 1.22 x 10⁻⁶ m
Therefore, the seperation between the two slits is 1.22 x 10⁻⁶ m.
The double-slit experiment is a demonstration that light and matter can display characteristics of both classically defined waves and particles; moreover, it displays the fundamentally probabilistic nature of quantum mechanical phenomena.
This type of experiment was first performed, using light, by Thomas Young in 1802, as a demonstration of the wave behavior of light. At that time it was thought that light consisted of either waves or particles.
With the beginning of modern physics, about a hundred years later, it was realized that light could in fact show behavior characteristic of both waves and particles. Young's experiment with light was part of classical physics long before the development of quantum mechanics and the concept of wave–particle duality.
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A student volunteers to enter a hypoxic breathing chamber with very low po2 for 10 minutes, and his alveolar po2 drops to 50 mm hg. what other change would occur?
When an individual enters a hypoxic breathing chamber, the changes that would occur would be an increase in the blood pH.
What is hypoxic breathing chamber?A hypoxic breathing chamber is a type of chamber that is built with the ability to cause an artificial high-altitude conditions.
There are various changes that would occur in the body when placed in a hypoxic state. These changes include the following:
Decrease in alveolar oxygen pressure,Increase in blood pH (acidosis)breathlessness, pallor, tachycardia, and pulmonary hypertension.Therefore, when an individual enters a hypoxic breathing chamber, the changes that would occur would be an increase in the blood pH.
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At a speed of 0. 93 ccc, a spaceship travels to a star that is 8. 5 lyly distant. part a according to a scientist on earth, how long does the trip take?
At a speed of 0. 93 ccc, a spaceship travels to a star that is 8. 5 ly distant part and according to a scientist on earth 2.3 years the trip takes.
Spacecraft
A spacecraft is a vehicle or machine designed to fly in outer space. A type of artificial satellite, spacecraft are used for a variety of purposes, including communications, Earth observation, meteorology, navigation, space colonization, planetary exploration, and transportation of humans and cargo.
Satellites, rovers, and space stations are collectively referred to as spacecraft. In science fiction, a big, manned spacecraft that is not a satellite is commonly referred to as a spaceship.
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A 60 w (120 v) night light is turned on for an average 12 h a day year round. part a what is the annual cost of electricity at a billing rate of $0. 11/kwh?
The annual cost of electricity is $28.908 .
work done is equal to energy consumed
therefore total energy is calculated as power times the duration of operation .
[tex]W=P.t[/tex]
where W= work done
P=power
t= time of operation
therefore,
total work done (W)=0.06×12×365 kw
=262.8 kw
so total annual electricity bill = 262.8×0.11
=$28.908
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Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, projvu u = , v =
The vector u represents the sum of two orthogonal vectors, and which can be written as,
[tex]u=Proj_vu+(u-Proj_vu)[/tex].
To find the answer, we have to know about the projection of vectors.
How to write u as a sum of two orthogonal vectors?Let u and v are two vectors, then the projection of the vector u onto the vector v is given by[tex]Proj_v u=\frac{u.v}{v.v} v[/tex] (inner product)
let[tex]u=(u_1,u_2)\\v=(v_1,v_2)[/tex] then, projection of u on v is,
[tex]Proj_vu=\frac{u_1v_1+u_2v_2}{v_1v_1+v_2v_2} (v_1,v_2)[/tex]
Then, u can be written as the sum of two orthogonal vectors as,[tex]u=Proj_vu+(u-Proj_vu)[/tex]
Thus, we can conclude that, the vector u represents the sum of two
orthogonal vectors, and which can be written as,
[tex]u=Proj_vu+(u-Proj_vu)[/tex].
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A ball of mass 4 kg is initially traveling at 2 m/s and has a 5 N force
applied to it for 3 s. What is the impulse applied to the ball?
A. 23 kgm/s
B. 12 kgm/s
C. 5 kgm/s
D. 15 kgm/s
Answer:
D. 15 kgm/s is the value of impulse applied
. Greetings !Given values mass(m) =4kginitial velocity (u) =2 m/sForce(F) =5NTime (t) =3 sec required valueImpulse = ?Solution :[tex]impulse = force \times Δtime \\ impulse = (5) \times (3)...substitute \: values \\ impulse = 15kgm/s[/tex]
Help me on the question below please
Answer:
C. tiny particles called charges flowing through the wires.
Explanation:
Hello!An electric current is a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space. It is measured as the net rate of flow of electric charge through a surface or into a control volume.
Hope it helps!
Answer:
c
Explanation:
electric current is tiny particles called charges flowing through the wires
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The helium-neon lasers most commonly used in student physics laboratories have average power outputs of 0. 250 mw. True or false?.
Intensity of laser beam is 72.3W/m²
Given:
average power output = 0. 250 mw
To Find:
intensity of laser beam
Solution:
First of all, we need to find the area of the circular spot, which is given by:
A = πr^2
where r is the radius of the spot, which is half the diameter, therefore
r = d/2 = 2.10mm/2 = 1.05mm = 1.05 x 10^-3m
So, the area of the spot is
A = π(1.05 10^-3m)^2 = 3.46 10^-6m²
We know that the power output of the laser is
P = 0.250mW = 2.5.10^-4W
So the intensity of the laser beam is
I = P/A = 2.5^-10 W/3.46-10^-6m^2 = 72.3W/m²
So, intensity of laser beam is 72.3W/m²
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What compound results when cyclooctatetraene is treated with excess potassium metal?
When cyclooctatetraene is treated with excess potassium metal dipotassium cyclooctatetraene dianion compound is formed.
What is cyclooctatetraene?Unsaturated cyclooctane derivative 1,3,5,7-cyclooctatetraene has the chemical formula [tex]C_{8} H_{8}[/tex]. Another name for it is annulene. At room temperature, this polyunsaturated hydrocarbon is a colorless to light yellow flammable liquid.What is dipotassium cyclooctatetraene dianion?The cyclooctatetraenide anion, also known as cyclooctatetraenide or, more accurately, cyclooctatetraenediide.It is an aromatic species having the chemical formula [tex][C_{8} H_{8}]^{2-}[/tex] and is abbreviated as [tex]COT^{2-}[/tex] in chemistry. It is cyclooctatetraene's dianion.Learn more about such organic compounds here:
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A 1.4 kg bicycle tire with a radius of 33 cm rotates with an angular speed of 155 rpm. Find the angular momentum(L) of the tire, assuming it can be modeled as a hoop.
The angular momentum of the tire is 0.394KGm^2/s.
To find the answer, we have to know more about the angular momentum.
How to find the angular momentum?We have the expression for angular momentum as,[tex]L=mvr[/tex]
where, m is mass of th body, v is the linear velocity and r is the radius of the circular orbit.
It is given that,[tex]m=1.4kg\\r=33*10^{-2}m\\w=155rpm=2.58rps[/tex]
Thus, the linear velocity will be,[tex]v=rw=33*10^{-2}*2.58=0.85m/s[/tex]
Then, the angular momentum, L will be,[tex]L=mvr=1.4*0.85*33*10^{-2}=0.394Kgm^2/s[/tex]
Thus, we can conclude that, the angular momentum of the tire is 0.394KGm^2/s.
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Discuss how friction is reduced in oce skating
Answer:
below
Explanation:
Ice melts, meaning it has a watery layer upon its surface. This allows things to be moving like they are on a liquid but it has the solidity of a solid. The thin metal of the ice skates also decrease the surface area meaning it exerts more force but in turn, it allows you to move faster and further reduces friction.
