Answer:
Explanation:
Remark
This is a momentum question. Both cars are sitting still (v1 and v2 are both 0) to start with). When the spring is sprung), they both move but in opposite directions.
Let us say that v4 is minus.
Equation
0 = m3*v3 - m4* v4
Givens
m3 = 1750 kg
m4 = 1000 kg
v3 = 4 m/s
Solution
m3*4m/s - m4*x = 0
1750 * 4 - 1000*x = 0
1750 * 4 = 1000x
7000 = 1000 x
7000/1000 = x
x = 7 m/s
Light is described as having a dual wave-particle nature. Which piece of evidence provides support for the model of light as a particle?
. Young’s double slit experiment showed that light waves show interference.
. Light reflects when it hits a surface.
. Light refracts when it moves from one medium to another.
. Light does not need a medium to travel.
Answer:
light reflects when it hits the surface
Explanation:
Youngs double slit is a evidence for wave nature,
The properties refraction are attributed as properties of waves. The phenomena of interference and diffraction also fall in this category.
So,
the answer must be B
Answer: Light does not need a medium to travel.
Explanation: I took the test and got it right :]
You have to run 18,900 feet in track. How far is this in miles? Note: There are 5280 feet in 1 mile.
O A. 0.8 mi
O B. 2.4 mi
O C. 1.5 mi
D. 3.6 mi
The conversion factor of 5280 feet per mile is used to convert the distance, and rounding to the nearest tenth gives us approximately 3.6 miles. The correct answer is option D: 3.6 mi.
To convert 18,900 feet to miles, we can use the conversion factor of 5280 feet per mile. By dividing the distance in feet by this conversion factor, we will obtain the equivalent distance in miles.
Distance in miles = 18,900 feet ÷ 5280 feet/mile
Calculating this expression, we find:
Distance in miles = 3.57 miles
Rounding to the nearest tenth, the distance is approximately 3.6 miles.
Therefore, the correct answer is option D: 3.6 mi.
It is important to note that the conversion factor of 5280 feet per mile is derived from the definition of a mile as 5,280 feet. This conversion factor is widely used to convert measurements between feet and miles in various contexts, such as distance calculations, road signs, and sports events. Here option D is the correct answer.
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Each lightbulb provides 90 M of resistance. The batteries are 1.5 V. Calculate the current in your circuit.
The current in the circuit will be 0.0167 Amperes when a light bulb is providing resistance and the batteries with 1.5 voltage.
What is current?A stream of charged particles, such as electrons or ions, travelling 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 measured.
What are the calculations?To calculate current the formula used is V= IR
1.5/90 = I
0.016 A = I
What is a circuit?Electronic components such as resistors, transistors, capacitors, inductors, and diodes are connected via conductive wires or traces that allow an electric current to pass between them.
Hence, the current in the circuit will be 0.0167 Amperes when a light bulb is providing resistance and the batteries with 1.5 voltage.
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What is refractive index
Answer:
Explanation:
In optics, the refractive index of a material is a dimensionless number that describes how fast light travels through the material. It is defined as where c is the speed of light in vacuum and v is the phase velocity of light in the medium or for short the ratio of the velocity of light in a vacuum to its velocity in a specified medium.
A bus travels from Houston, Texas to Dallas, Texas, in 4.7 h with an average velocity of 76 km/h to the north. What is the bus’s displacement?
The bus's displacement from Houston to Texas with average velocity = -16.170 km/h
Evaluation :
average velocity = ( initial velocity -- final velocity )
( v-u )
displacement = \(\frac{v-u}{t}\)
displacement = \(\frac{0 - 76 }{4.7}\)
= - 16.170 km/h
Average velocity :
Average velocity is determined as the change in position or displacement (∆x) divided by the time period (∆t) in which the displacement results . The average velocity could be positive or negative based upon the sign of the displacement. The SI unit of average velocity is defined as meters per second (m/s or ms-1).
Displacement :The displacement is commonly the difference in the position of the two marks and is independent of the path covered when traveling between the two of the marks. The distance covered , however, is the total length of the path chosen between the two marks. Displacement defined as a vector quantity that mean to "how far out of the place an object is"; it's the object overall changes in the position.
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how can voltage be produced by magnetism and motion?
Answer:
Electromagnetic Induction by a Moving Magnet
Then the action of moving a coil or loop of wire through a magnetic field induces a voltage in the coil with the magnitude of this induced voltage being proportional to the speed or velocity of the movement.
Explanation:
As part of a movie stunt, a full-size remote-controlled car is driven horizontally off a 9.00 m tall cliff at 24.40 m/s. How far (Δx) from the bottom of the cliff does the car land?
Explanation:
Find the time it takes to hit the bottom....then multiply this time by the horizontal velocity .......
Time to hit bottom :
d = 1/2 at^2
9 m = 1/2 (9.81 m/s^2) (t^2) shows t = 1.35 s
Now the horizontal displacement is
x = rate * time = 24.40 m/s * 1.35 s = 33.1 m
Use the data from Table D of your Student Guide to answer the questions. Be sure to round your answers to the nearest tenth.
Answer:
table??
Explanation:
a 250 mH coil of negligible resistance is connected to an AC circuit in which as effective current of 5 mA is flowing. if the frequency is 850Hz, find the inductive reactance
Answer:
the inductive reactance of the coil is 1335.35 Ω
Explanation:
Given;
inductance of the coil, L = 250 mH = 0.25 H
effective current through the coil, I = 5 mA
frequency of the coil, f = 850 Hz
The inductive reactance of the coil is calculated as;
\(X_l = \omega L = 2\pi f L\\\\X_l = 2\pi \times 850 \times 0.25\\\\X_l = 1335.35 \ ohms\)
Therefore, the inductive reactance of the coil is 1335.35 Ω
A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R=2.9 x 107m. The mass of the planet is M = 7.2 x 1024 kg.
The velocity of the satellite is 4.1 x \(10^{3}\) m / s.
What is universal gravitational constant?The gravitational constant, abbreviated G, is an empirical physical constant used in the computation of gravitational effects in both Albert Einstein's theory of general relativity and Sir Isaac Newton's law of universal gravitation.Anywhere in the cosmos, the gravitational constant, which is equal to 6.67408 10-11 N m2 kg-2, remains constant.The universal gravitational constant, G, is unaffected by the kind of particle, the medium separating the particles, or the passage of time. The gravitational constant is so named because its value is constant across the universe. a number used in Newton's law of gravity to relate the gravitational pull of two bodies to their masses and distance from one another.Given data :
Universal gravitational constant G = 6.7 x \(10^{-11}\)
M is the Planet mass
R is the distance between Planet and Satellite
The velocity of the satellite is,
Velocity = \(\sqrt{GM / R}\)
= \(\sqrt{6.7 * 10^{-11} * 7.2 * 10^{24} / 2.9 * 10^{7} }\)
= 4.1 x \(10^{3}\) m / s.
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Match the measurements with the proper SI unit.
Acceleration:
A. Meters
B. Meters per second
C. Meters per second squared
Velocity:
A. Meters
B. Meters per second
C. Meters per second squared
Distance:
A. Meters
B. Meters per second
C. Meters per second squared
Explanation:
C. meter per second squared
B. meter per second
A. meter
Answer:
b. meters per second
c.meters per second squared
c.meters
Explanation:
ginawa ko na rin KC toh
Gravity is what type of force?1) field force2) contact force3) normal force4) frictional force
The force which acts on the object due to gravity is known as field force because it is present in the space which consists of masses. Thus, option (1) is correct.
During a football workout, two linemen are pushing the coach on the sled. The
combined mass of the sled and the coach is 300 kg. The coefficient of friction between
the sled and the grass is 0.800. The sled accelerates at the rate of 0.580 m/s^2.
Determine the force applied to the sled by the lineman.
Answer:
F_{players} = 2528.4[N]
Explanation:
To solve this problem we must use Newton's second law, which tells us that the sum of forces on a body must be equal to the product of mass by acceleration.
On the sled act two forces, the force of friction and The Force executed by the football players.
The movement of the football players will be taken as positive, while the friction will be taken as negative, since it is opposed to the movement of the sled.
ΣF = m*a
where:
F = force [N]
m = mass [kg]
a = acceleration = 0.580 [m/s²]
\(F_{players} - f_{friction} = m*a\)
The friction force is defected as the coefficient of friction by the normal force, the normal force on a horizontal surface can be calculated as the product of mass by gravitational acceleration.
\(f_{friction}=0.8*(300*9.81)\\f_{friction}=2354.4[N]\)
Now we can calculate the force exerted by the players.
\(F_{players}-2354.5=300*0.580\\F_{players}=2528.4[N]\)
A kinesin that is transporting a secretory vesicle uses approximately 80 ATP molecules/s. Each ATP provides a kinesin molecule with an energy of about 0.8 × 10-19 J. If the velocity of the kinesin is 800 nm/s, can you determine the force the kinesin is exerting, if you assume that all the ATP energy is used (100% efficiency)? If you can, find it and give your answer in newtons. If not, answer with 0.
Answer:
The force is \(F = 8*10^{-12} \ N\)
Explanation:
From the question we are told that
The rate at which ATP molecules are used is \(R = 80 ATP/ s\)
The energy provided by a single ATP is \(E_{ATP} = 0.8 * 10^{-19} J\)
The velocity of the kinesin is \(v = 800 nm/s = 800*10^{-9} m/s\)
The power provided by the ATP in one second is mathematically represented as
\(P = E_{ATP} * R\)
substituting values
\(P = 80 * 0.8*10^{-19 }\)
\(P = 6.4 *10^{-18}J/s\)
Now this power is mathematically represented as
\(P = F * v\)
Where F is the force the kinesin is exerting
Thus
\(F = \frac{P}{v}\)
substituting values
\(F = \frac{6.4*0^{-18}}{800 *10^{-9}}\)
\(F = 8*10^{-12} \ N\)
The force exerted by the kinesin is 8 × 10-12 N.
Let us recall that power is defined as the rate of doing work. Hence, power = Energy/Time.
Since;
Energy = 0.8 × 10-19 J/molecule
Number ATP molecules transported per second = 80 ATP molecules/s
Power = 0.8 × 10-19 J/molecule × 80 ATP molecules/s
Power = 6.4 × 10-18 J
Again, we know that;
Power = Force × Velocity
Velocity of the ATP molecules = 800 nm/s or 8 × 10-7 m/s
Force = Power/velocity
Force = 6.4 × 10-18 J/ 8 × 10-7 m/s
Force = 8 × 10-12 N
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a concave mirror produces four times magnified image of ab object placed at 10 cm in front of the mirror. find the position of image
Answer:
40 cm
Explanation:
We are given that
Magnification of concave mirror, m=4
Object distance, u=-10cm
We have to find the position of image.
We know that
Magnification of concave mirror, m=\(-\frac{v}{u}\)
Using the formula
\(4=-\frac{v}{-10}\)
\(4=\frac{v}{10}\)
\(v=4\times 10\)
\(v=40cm\)
Hence, the image is formed at distance 40 cm behind the mirror.
Wind is ________ rushing in to fill an area of low pressure.
Wind is the stream of air rushing in to fill an area of low pressure. Winds are generated by the differential distribution of temperature resulting in a pressure difference.
What are winds?The natural movement of air or other gases in relation to a planet's surface is referred to as wind. There are many different sizes of winds, ranging from thunderstorm flows that last only a few minutes to local breezes.
Large-scale atmospheric circulation is primarily brought on by the planet's rotation and the difference in temperature between the equator and the poles (Coriolis effect).
Thermal low circulations over topography and high plateaus can cause monsoon circulations in the tropics and subtropics. Local winds can be defined in coastal regions by the sea breeze/land breeze cycle; in regions with varying terrain, mountain and valley.
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A beam of light passes from air (n=1.0) into water (n = 1.33). If the angle of incidence is 77º, what is the
angle of refraction in the water?
A 33.36°
B 47.11°
C 0.97⁰
D 0.55⁰
Answer:
The correct answer is option B: 47.11°.
Explanation:
To calculate the angle of refraction when light passes from air to water, we can use Snell's law, which states:
n₁ * sin(θ₁) = n₂ * sin(θ₂)
where:
n₁ = refractive index of the medium of incidence (in this case, air) = 1.0
n₂ = refractive index of the medium of refraction (in this case, water) = 1.33
θ₁ = angle of incidence
θ₂ = angle of refraction (what we want to find)
Given:
θ₁ = 77º
Let's plug in the values into Snell's law and solve for θ₂:
1.0 * sin(77º) = 1.33 * sin(θ₂)
sin(77º) = (1.33 * sin(θ₂)) / 1.0
Now, isolate sin(θ₂) by multiplying both sides by 1.0:
sin(77º) * 1.0 = 1.33 * sin(θ₂)
sin(θ₂) = (sin(77º) * 1.0) / 1.33
Now, take the inverse sine (arcsin) of both sides to find θ₂:
θ₂ = arcsin((sin(77º) * 1.0) / 1.33)
Calculating the value:
θ₂ ≈ 47.11º
Therefore, the angle of refraction in the water when the angle of incidence is 77º is approximately 47.11º.
How do you calculate the maximum angle at which an object will not slip on an incline? I know that it's arctan(μ) but why? Where does that come from? Thank you in advance!
The maximum angle at which an object will not slip on an incline can be calculated using the coefficient of friction (μ).
Balance of forces on an inclineWhen an object is on an inclined plane, there are two main forces acting on it: the gravitational force pulling it downward (mg) and the normal force (N) exerted by the inclined plane perpendicular to its surface. Additionally, there is a frictional force (F) acting parallel to the surface of the incline.
To prevent slipping, the frictional force must be equal to or greater than the force component pulling the object down the incline. This force component is given by the equation F = mg sin(θ), where θ is the angle of inclination.
The maximum frictional force that can be exerted between two surfaces is given by the equation F = μN, where μ is the coefficient of friction.
For an object not to slip, the maximum frictional force (F) must be equal to or greater than the force component pulling the object down the incline (mg sin(θ)). Therefore, we have:
F ≥ mg sin(θ)
Substituting F = μN, we get:
μN ≥ mg sin(θ)
Since N = mg cos(θ) (the normal force is equal to the component of the gravitational force perpendicular to the incline):
μmg cos(θ) ≥ mg sin(θ)
μ cos(θ) ≥ sin(θ)
Now, divide both sides of the equation by cos(θ):
μ ≥ tan(θ)
Taking the inverse tangent (arctan) of both sides, we get:
θ ≤ arctan(μ)
Therefore, the maximum angle at which an object will not slip on an incline is given by θ = arctan(μ).
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If a third resistor is added in a parallel to the other 2 resistors, How will that affect the brightness of the original 2 light bulbs?
The original two light bulbs will appear brighter when the third resistor is added in parallel.
When a third resistor is added in parallel to the other two resistors in a circuit, it will have an impact on the overall brightness of the original two light bulbs.
In a parallel circuit, each resistor has its own branch connected to the power source. The current flowing through each branch is inversely proportional to the resistance of that branch. Adding a third resistor in parallel means an additional path for current to flow.
The introduction of the third resistor reduces the total resistance of the circuit. As a result, the total current drawn from the power source increases, as per Ohm's Law (I = V/R). The increased current is distributed among the parallel branches, including the original two light bulbs.
Since the current through the bulbs is now greater, their brightness will also increase. This is because the brightness of an incandescent light bulb is directly proportional to the current passing through it.
It's worth noting that the specific effect on brightness depends on the resistance values of the resistors and the characteristics of the light bulbs. However, in general, adding a resistor in parallel reduces the overall resistance, increases the current, and subsequently enhances the brightness of the light bulbs in the circuit.
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The 10/90 principle can help you take control of your situation in taking responsibility of what you can change rather than in being victim of what you cannot change. Give an example of a situation that can change for you in applying this principle.
The 10/90 principle can be a powerful tool for taking control of your situation and improving your life. By taking responsibility for what you can change and focusing on your reaction to the situation, you can make positive changes in your life and become the master of your own destiny.
The 10/90 principle refers to the idea that life is made up of 10% of what happens to you and 90% of how you respond to it. In other words, you may not be able to control what happens to you, but you can control your reaction to it. By taking responsibility for what you can change rather than being a victim of what you cannot change, you can take control of your situation and improve your life.One example of a situation where the 10/90 principle could be applied is losing a job. Losing a job can be a devastating experience, and it can be easy to feel like a victim in this situation. However, by applying the 10/90 principle, you can take control of your situation and make positive changes in your life.The first step in applying the 10/90 principle in this situation would be to take responsibility for what you can change. This could mean updating your resume, networking with others in your field, and applying for new jobs. By taking action and doing what you can to find a new job, you are taking control of your situation and improving your chances of finding a new job.
The second step would be to focus on your reaction to the situation. Instead of dwelling on the negative aspects of losing your job, try to focus on the positive aspects. This could mean using the extra time to pursue a new hobby or spend more time with family and friends. By focusing on the positive aspects of the situation, you are taking control of your reaction and improving your overall well-being.
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If A = 6î - 8ĵ, B = −8î + 3ĵandC = 26î + 19ĵ. Find a and b Such that aẢ +bB + C = 0
Sol^n :
aA=6ai-8aj
bB=-8bi-3bj
C=26i-19j
Given aA+bB+C=0i+0j
(6a-8b+26)i-(8a+3b+19)j=0i+0j
comparing coefficient of i and j
6a-8b=-26
2a-4b=-13.....(1)
8a+3b=-19......(2)
making the coefficient of a similar
8a-16b=-52....(3)
8a+3b=-19....(4)
equation 4-3 implies
19b=33
b=33/19
from (1)
2a=-13+4(33/19)
2a=-115/19
a=-115/38
Use the Newton's Law Triangle to solve the following problem
A bowling ball had 50 N of force when it accelerated down the lane at a rate of 2m/s2. How much mass did the bowling ball have?
________kilograms
Answer:
The answer would be 25kg.
Explanation:
Because the force is 50 N and the acceleration is 2 meters per second squared and the Newton's Law Triangle is F = m x a or Force = Mass x Acceleration so we have to solve the equation 50 divided by 2 or 50/2 which results in 25kg.
A typical electric refrigerator has a power rating of 500 Watts, which is the rate (J/s) at which electrical energy is supplied to do work needed to remove heat from the refrigerator. If the refrigerator releases heat to the room at a rate of 800 Watts, at what rate (in Watts) does it remove heat from inside of the refrigerator?
Answer:
The rate of heat removed from inside the refrigerator is 300 watts.
Explanation:
By the First Law of Thermodynamics and the definition of a Refrigeration Cycle, we have the following formula to determine the rate of heat removed from inside the refrigerator (\(\dot Q_{L}\)), in watts:
\(\dot Q_{L} = \dot Q_{H}-\dot W\) (1)
Where:
\(\dot Q_{H}\) - Rate of heat released to the room, in watts.
\(\dot W\) - Rate of electric energy needed by the refrigerator, in watts.
If we know that \(\dot Q_{H} = 800\,W\) and \(\dot W = 500\,W\), then the rate of heat removed from inside the refrigerator is:
\(\dot Q_{L} = \dot Q_{H}-\dot W\)
\(\dot Q_{L} = 300\,W\)
The rate of heat removed from inside the refrigerator is 300 watts.
Which of the following X-Y tables agrees with
the information in this problem?
A)
Vi
Vf
a
ΔΧ
t
A plane is flying east at 115 m/s. The wind
accelerates it at 2.88 m/s² directly northwest.
After 25.0 s, what is the velocity of the plane?
X
115
?
Y
115
?
88 2.88
2.88
25
25
B) X
V₁
Vf
a 2.04 2.04
ΔΧ
t
Y C) X
V₁ 115
V₁
?
0115
25
25
a -2.04
ΔΧ
t
25
Y
0
?
2.04
25
Table A agrees with the information in the problem. After 25.0 seconds, the velocity of the plane is 187 m/s.
Based on the given problem, we need to determine the velocity of a plane after 25.0 seconds. The plane is initially flying east at a velocity of 115 m/s, and it experiences an acceleration of 2.88 m/s² in the northwest direction.
Let's analyze each option and calculate the final velocity (Vf) of the plane after 25.0 seconds:
Option A:
Vi = 115 m/s
a = 2.88 m/s²
t = 25.0 s
Using the equation Vf = Vi + at, we can calculate:
Vf = 115 m/s + (2.88 m/s²)(25.0 s) = 115 m/s + 72 m/s = 187 m/s
Option B:
V₁ = 2.04 m/s
a = 2.04 m/s²
t = 25.0 s
Using the equation Vf = V₁ + at, we can calculate:
Vf = 2.04 m/s + (2.04 m/s²)(25.0 s) = 2.04 m/s + 51 m/s = 53.04 m/s
Option C:
V₁ = 115 m/s
a = -2.04 m/s²
t = 25.0 s
Using the equation Vf = V₁ + at, we can calculate:
Vf = 115 m/s + (-2.04 m/s²)(25.0 s) = 115 m/s - 51 m/s = 64 m/s
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A 6 kg blue ball rolls across the ground and collides with a stationary 1 kg red ball.
Before the collision the blue ball moved right with a speed of 4 m/s, and after the
collision it moved left with a speed of 1 m/s. If the red ball was not moving before the
collision, how fast is it moving after the collision?
The final velocity of the red ball is 18 m/s.
What is momentum?The term momentum has to do with the product of the mass and the velocity of an object We know that the momentum is always conserved in accordance with the Newton third law. Also it is clear that the momentum before collision is equal to the total momentum after collision and we are going to apply this principle here.
Then;
Mass of the blue ball = 6 kg
Mass of the red ball = 1 kg
Initial velocity of the blue ball = 4 m/s
Initial velocity of the red ball = 0 m/s
Final velocity of the red ball = ??
Final velocity of the blue ball = 1 m/s
We now have;
(6 * 4) + (1 * 0) = (1 * v) + (6 * 1)
24 = v + 6
v = 24 - 6
v = 18 m/s
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A 2-kW electric heater takes 15 min to boil a quantity of water. If this is done once a day and power costs 10 cents per kWh, what is the cost of its operation for 30 days?
Answer:
$1.50Explanation:
Given data
power P= 2 kW
time t= 15 min to hours = 15/60= 1/4 h
cost of power consumption per kWh= 10 cent = $0.1
We are expected to compute the cost of operating the heater for 30 days
but let us computer the energy consumption for one day
Energy of heater for one day= 2* 1/4 = 0.5 kWh
the cost of operating the heater for 30 days= 0.5*0.1*30= $1.50
Hence it will cost $1.50 for 30 days operation
the mass of an ice block is 500kg and density is 920kg\m^3. calculate the volume of an ice block
The volume of an ice block will be 0.543 m³.
What is density?Density is defined as the mass per unit volume. It is an important parameter to understand the fluid and its properties. Its unit is kg/m³.
The mass and density relation is given as
mass = density × volume
The given data in the problem is as ;
v is the volume of ice block =?
ρ is the density = 920kg/m³
m is the mass of ice block = 500kg
The mass and density relation is given as;
mass = density × volume
500 kg =920kg/m³ ×v
v=0.543 m³
Hence, the volume of an ice block will be 0.543 m³.
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A boy is sitting on the outside edge of a merry go round. If the angular velocity id doubled, then the linear speed of the boy will be
If the angular velocity id doubled, then the linear speed of the boy will be doubled.
As we know,
If a body is rotating in a circular path, it will have an angular as well as linear velocity.
The angular velocity is responsible for rotation and the linear velocity is responsible for changing the direction in a circular manner.
The angular velocity W is related to the linear velocity V as,
W = V/R
Let us say this is equation 1,
Where R is the radius of the merry go round,
Now if the angular velocity is doubled,
W' = V'/R
Let us say this is equation 2.
On dividing equation 1 and 2,
W/W' = V/V'
As we know, W' = 2W.
1/2 = V/V'
V' = 2V.
The linear velocity will increase by a factor of 2.
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Which illustration represents the arrangement of particles in a liquid?
The correct answer is A.
Explanation
In nature, we can find three basic states of material, one of these is gas, that is characterized by far apart particles that move quickly in all directions; the second is solid that is characterized by close particles located in a definite pattern, and these only vibrate without losing its form, and third is the liquid, that is characterized for close particles with an undefined pattern, and its movement is around each other. According to the above, the image that best expresses the arrangement of particles in a liquid is option A, because there are particles close together and move around each other.
Answer:the correct answer is A the foggy looking brain pic
Explanation:
I selected C the separated looking particles that answer was wrong
5. Which of the following is velocity? *
2 points
A. 20 m/s
B. 40 m/s east
C. 40 m
D. 20 m