1.7
Which ONE of the vector diagrams below will result in the largest resultant
vector?
(2)
Vector diagram B will result in the largest resultant vector. Correct option is B.
What is Vector ?Vector is a mathematical quantity which has both magnitude as well as direction. Force, displacement, velocity & acceleration etc. are the examples of vectors. Vectors are denoted by a standard letter and an arrow upon it.
The resultant(R) of two vectors R1 and R2 having angle θ between them are given by,
R² = R₁² + R₂² + 2R₁R₂cosθ
A) in this diagram single vector is there,
so R = R₁
B) in this diagram two vectors are in same direction with zero angle between them. (Cos0 = 1)
R² = R₁² + R₂² + 2R₁R₂
C) & D) In these diagrams two vectors are in opposite direction with zero angle between them. (Cos180 = -1)
R² = R₁² + R₂² - 2R₁R₂
Looking at B Two vectors will be added each other and give largest resultant vector.
Hence Option B is correct.
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Calculate the force between a charge of 8.0 x 10-9 C and a charge of 2.0 x 10-3 if they are 0.80 m apart.
Using Coulomb's Law, the force between two charges is given by:
F = k * q1 * q2 / r^2
Where k is Coulomb's constant (9.0 x 10^9 N*m^2/C^2), q1 and q2 are the charges, and r is the distance between the charges.
Substituting the given values, we have:
F = (9.0 x 10^9 N*m^2/C^2) * (8.0 x 10^-9 C) * (2.0 x 10^-3 C) / (0.80 m)^2
F = 36 N
Therefore, the force between the two charges is 36 N.
What is Coulomb's law?
Coulomb's law can be used to calculate the force between any two charged particles, including protons, electrons, and ions. The force can be either attractive or repulsive, depending on the sign of the charges. If the charges are the same (both positive or both negative), the force is repulsive, while if the charges are opposite, the force is attractive.To know more about Coulomb's law, click the link given below:
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An object moves 9.71 meters east in 6.18 seconds. Calculate its velocity.
Answer:
hi
Explanation:
there is the answer
hope it helps
good luck
a measuring cylinder has a depth of 4.2cm when filled with a liquid.A coin dropped inside it appears to be at a depth of 3.5cm when viewed from above.calculate the refractive index of the liquid.
The refractive index of the liquid, given that the depth is 4 cm and the coin appears to be 3. 5 cm is 1.2
How do i determine the refractive index?Refractive index is related to real depth and apparent depth according to the following formula:
Refractive index = Real depth / Apparent depth
With the above formula, we can obtain the refractive index as illustrated below:
Real depth of liquid = 4.2 cmApparent depth of liquid = 3.5 cmRefractive index = ?Refractive index = Real depth / Apparent depth
Refractive index = 4.2/ 3.5
Refractive index = 1.2
Thus, the refractive index is 1.2
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Match the metric units with these measurements.
force:
Choose...
distance:
Choose...
work:
Choose...
power:
Choose...
energy:
Choose...
time:
Choose...
opptions are: second, Watt, joule, Newton, and meter.
The metric units with these measurements is force: Newton
What is metric units?Metric units are a type of measurement system based on the meter, kilogram, and second. It is the most widely used system of measurement in the world and is used by most countries. Metric units are based on a decimal system, which means that each unit is a multiple or fraction of 10, and is defined in relation to a basic unit. For example, the meter is defined as the distance traveled by light in a vacuum in 1/299,792,458 of a second. Other metric units, such as the liter, are defined as multiples of the basic unit.
distance: meter
work: joule
power: Watt
energy: joule
time: second
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Chaya analyzes the data for two stars. Both are the same color, but the first star has an absolute brightness greater than the second star. What should Chaya conclude about the stars
Greater in size than that of the second star is the first star. If Chaya looks at the information for two stars. They are both the same hue, yet the first star is brighter overall than the second.
What is a star's actual brightness?A star's absolute magnitude, M, is the magnitude it would have if it were situated 10 parsecs away from Earth. Astronomers might compare the true (intrinsic) brightness of various stars by taking into account stars at a given distance.
What two elements affect a star's brilliance in its purest form?More powerful (or greater wattage) stars will glow brighter than less powerful ones (lower wattage). Nevertheless, that because a star appears brighter doesn't always imply it is. The brilliance of a star is also influenced by how close to us it is. An thing seems darker the further it is away.
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How does changing the direction of the charge (positive/negative) influence the force between the two charges?
If both charges are positive, the force will be _________; similarly, if both charges are negative, the force will be the same.
If one charge is positive and another is negative, the force will be ___________.
positive; negative
negative; positive
no change; no charge
positive; positive
negative; negative
Explanation:
If both charges are positive, the force will be positive; similarly, if both charges are negative, the force will be positive.
If one charge is positive and another is negative, the force will be negative.
The correct answer is "positive; negative". According to Coulomb's Law, the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. The force is attractive if the charges are of opposite sign (one positive and one negative), and repulsive if the charges are of the same sign (both positive or both negative). Therefore, when one charge is positive and another is negative, the force between them is attractive, while when both charges are positive or both are negative, the force between them is repulsive.
A crane must exert a force of 25000 N to lift a whale shark, the largest fish in the world, into a tank. If the shark’s acceleration equals 1.25 m/s2, what is the shark’s mass?
The force required to lift the whale shark is given as 25000 N, and its acceleration is 1.25 m/s^2. We can use Newton's second law of motion, which states that the force (F) applied on an object is equal to the product of its mass (m) and acceleration (a), i.e. F = ma.
Rearranging the equation to solve for the mass, we get:
m = F/a
Substituting the given values, we get:
m = 25000 N / 1.25 m/s^2
m = 20000 kg
Therefore, the mass of the whale shark is approximately 20,000 kg.
Why do some foods need to be refrigerated while others can remain on the counter?
Answer:
The reason is that for the options above, bacteria can only grow most rapidly in the range of temperatures between ~ 40 °F and 140 °F and the reason foods like those have to be refrigerated is because meat can go rot pretty easily and there could have a lot of bacteria and things we do not want at all. But put meat in the fridge can slow down bacterial growth.
Explanation:
Well the answer toy your question is that, counter foods such as:
AvocadosOrangesPistachios( The only things that are on my counter RIGHT now is the shown above.
The reason is that for the options above, bacteria can only grow most rapidly in the range of temperatures between ~ 40 °F and 140 °F
So that is why some foods like fruits can stay out.
The reason why foods like:
MeatVegetablesCioppino ( Type of fish stew )The reason foods like those have to be refrigerated is because meat can go rot pretty easily and there could have a lot of bacteria and things we do not want at all. But put meat in the fridge can slow down bacterial growth.
Thus the answer to your problem is:
The reason foods like those have to be refrigerated is because meat can go rot pretty easily and there could have a lot of bacteria and things we do not want at all. But put meat in the fridge can slow down bacterial growth.
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A cannon ball is fired horizontally with a velocity of 50m/s from the top of a cliff 90m high.
a. After how many seconds will it strike the plain at the foot of the cliff?
b. At what distance from the foot of the cliff will it strike?
c. With what velocity will it strike the ground?
Answer:
a. time of flight = 4.285 s
b. horizontal distance reached = 214.25m
c. final velocity = 65.3m/s, at 40° downwards
Explanation:
This is a projectile motion question.
Things to note, in all projectile motion questions:
in the horizontal component, velocity is always constant. There is no horizontal acceleration. at maximum height reached by the object, vertical velocity = zerothe only vertical acceleration, is acceleration due to gravity = 9.8 m/s²vertical displacement, is initial height minus final height. ΔSIn projectile motion questions, we will use the three equations of motion:
[tex]v=u+at\\v^2=u^2+2as\\s=ut+\frac{1}{2}at^2[/tex]
Thus we can adjust our equations for the x - component:
[tex]v=u\\s=ut[/tex], since acceleration = 0
For the y - component:
[tex]v=u-gt\\v^2=u^2-2gs\\s=ut-\frac{1}{2}gt^2[/tex], since acceleration = gravity (9.8 m/s²), downwards.
Now, with our question, we can note: u(x) = 50m/s, and u(y) = 0, since, initially, only horizontal motion. Also, s(y) = - 90m.
(a) After how many seconds will it strike the plain at the foot of the cliff?
In this question, we are asked to find time of flight, 't'. As we have s(y), u(y), and g, we can use the third equation, [tex]s=ut-\frac{1}{2}gt^2[/tex] to find t.
Since u=0, thus, - 90 = -1/2×9.8×t². solving this algebraically, therefore, time of flight = 4.285 s.
(b) At what distance from the foot of the cliff will it strike?
Now, we need to find the horizontal distance or range. All we can use to do this is s = ut. Since we know that u=50m/s, and t=4.285s, this will be easy. s = (50)(4.285) = 214.25 m.
Therefore, horizontal distance reached = 214.25m.
(c) With what velocity will it strike the ground?
In this part, we need to find final velocity. Final velocity = the resultant vector of both the x and y velocity components. [tex]v=\sqrt{(v_x)^2+(v_y)^2}[/tex].
Since horizontal velocity is constant, u = v, and therefore, v(x) = 50m/s.
For vertical velocity, we can use [tex]v^2=u^2-2gs[/tex]. u(x) = 0, and s(y) = -90m.
Therefore, v² = -2(9.8)(-90). final vertical velocity is thus 42m/s.
Now final velocity = √(50² + 42²) ≈ 65.3 m/s.
Lastly, we need to remember to calculate direction, since velocity is a vector quantity. the direction of velocity (θ) [tex]=tan^{-1}(\frac{v_y}{v_x})[/tex]
Therefore, θ = 40°.
Therefore, final velocity = 65.3m/s, at 40° downwards.
Describe how government helps business provide the goods and services that people need and want
Governments assist in enhancing the infrastructure necessary for companies to flourish and helps business provide the goods and services that people need and want.
What is economics?
Economics is the study of how limited resources are used to create outputs, such as commodities and services, that are then distributed among individuals. Resources serve as the resources for creating outputs. Products and services are created by combining resources. The necessary raw ingredients are provided by land and natural resources. Raw materials are turned into finished products and services by labor.
Businesses perform better when they can effectively transport raw materials to factories and deliver finished goods to plants and markets. Governments assist in enhancing the infrastructure necessary for companies to flourish. Roads, bridges, rail lines, airports, seaports, energy transmission lines, and telecommunications networks are all included in this.
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28.5 a of iron shot is added to a graduated cylinder containing 50 mL of water. The water level rises to the
53.6 mL mark, from this information, calculate the density of iron.
Answer:
Density of iron = 7.87 g/cm^3
Explanation:
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How did the start of farming/agriculture by humans impact populations in
ancient history?
Farming or agriculture by humans had great impact on the population in certain areas. Farming created a facile environment for people get into a developing life and the areas feasible for cultivation were populated more.
What were the impacts of farming in population in ancient history ?Human populations have frequently rebuilt their subsistence niches, altering both their food sources and living environments. For instance, most human populations changed from foraging to engaging in various forms of agriculture over the past 12,000 years.
It is well known that the transition to agriculture had an impact on a number of areas of human biology and demography, including mortality risk, population growth, adult body size, and physical indicators of health.
The reasons why populations tended to grow in size at times when indices of health declined are poorly understood since these tendencies have not been included in a comprehensive conceptual framework. All these are significant changes after the generation of an agricultural society.
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Which object reflects light with the longest wavelength?
a yellow book
a violet flower
a blue paper
a green leaf
Answer:
a yellow book
Explanation:
red has the longest wavelength so most wavelength to least wavelength goes in the order- red, orange, yellow, green, blue, indigo, violet
yellow has the longest wavelength in the gvn options thus its the answer
descibe the movement of the particles at the boiling point of a substance, what is happening with temperature and energy
019 (part 1 of 3) 10.0 points
An open vertical tube has water in it. A
tuning fork vibrates over its mouth. As the
water level is lowered in the tube, the sixth
resonance is heard when the water level is
30.25 cm below the top of the tube.
What is the wavelength of the sound wave?
The speed of sound in air is 343 m/s.
Answer in units of cm.
020 (part 2 of 3) 10.0 points
What is the frequency of the sound wave; i.e.,
the tuning fork?
Answer in units of s−1
.
021 (part 3 of 3) 10.0 points
The water continues to leak out the bottom
of the tube.
When the tube next resonates with the tuning fork, what is the length of the air column?
Answer in units of cm.
1) The wavelength of the sound wave is 11cm.
2) The frequency of the sound wave is 3118.18.
3) The length of the air column is 35.75cm.
What is frequency and its unit?
The quantity of full oscillations made by any wave element in a unit of time is known as the frequency of a sinusoidal wave. A parameter that describes the rate of oscillation and vibration is called frequency. Hertz is the SI unit for frequency. One full oscillation per second corresponds to one hertz (Hz).
Therefore, The wavelength of the sound wave is 11cm, The frequency of the sound wave is 3118.18 and The length of the air column is 35.75c
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Square root of 2.56 without calculator
In Maths finding the square root of a number is the opposite of squaring a number. The square root of the square of a positive number gives the original number. The Square root of 2.56 is 1.6.
What is square root?The square root of a number can be defined as the factor which we can multiply by itself to get that number. The symbol used to represent the square root is √.
The square root of any number can be found out without using calculator by using long division method. Here the square root of 2.56 is 1.6. Divide, multiply, subtract, bring the next number and repeat. These are the steps of it.
√2.56 = 1.6
The long division method of 2.56 is attached here.
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Imagine two like charges in close contact. If one of the charges becomes oppositely charged, what happens to the electrostatic force?
The force becomes attractive
The force becomes repulsive
The force increase
The force decreases
The electrostatic force between the two charges will decrease in magnitude and become attractive.
What is Electrostatic Force?
Electrostatic force, also known as Coulombic force or Coulomb's law, is the force that exists between electrically charged particles, such as protons and electrons. The force is exerted by one charged particle on another and can be attractive or repulsive, depending on the types of charges involved.
The magnitude of the electrostatic force is directly proportional to the product of the charges on the particles and inversely proportional to the square of the distance between them. Mathematically, this can be expressed as F = k(q1q2)/r^2, where F is the electrostatic force, q1 and q2 are the charges on the particles, r is the distance between them, and k is the Coulomb constant.
If one of the like charges becomes oppositely charged, the electrostatic force between them will become attractive. .
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Increasing the distance between an electromagnet and the compass will cause the observed effect of the compass to _____.
Increasing the distance between an electromagnet and the compass will cause the observed effect of the compass to decrease in strength
What would the Increasing the distance between an electromagnet and the compass cause?
The strength of the magnetic field produced by an electromagnet decreases as the distance from the electromagnet increases. This means that if the distance between the electromagnet and the compass increases, the magnetic field that the compass is experiencing will weaken.
As a result, the observed effect of the compass will decrease in strength as the distance between the electromagnet and the compass increases.
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Determine the molar mass of a gas if the volume of 0.05 g of the gas is 50cc at 27°c and 76 cm Hg pressure.
when is an atom said to be electrically neutral
An atom is said to be electrically neutral when the number of protons and the number of electrons is equal.
Protons are positively charged particles and electrons are negatively charged particles. If atom losses or gains one more electron then it is said to become an ion. Atoms may gain or lose electrons to increase their stability. A neutral atom has no charge. The positive and negative charges cancel out each out and create a balance. Basically for an atom to be electrically neutral it must have exactly one electron for every proton. Protons are present in the nucleus of an atom and electrons revolve around the center of the nucleus.
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Please need help asap
Answer:
The answer is definitely A
Which of the following relation is correct?
(a) 2 3 l l 1 2 = = l3
(b) 3 2 l l 1 2 = = l3
(c) lll 1 1 = = 2 3 3
(d) l l 1 2 = = 4 3l3
3. What is the frequency of a wave that has a wave speed of 80 m/s and a wavelength of 0.3 m?
Answer:
266.6 HertzExplanation:
Given :
Wavelength = 0.3 m Wave speed = 80 m/sWe need to find the frequency of the wave
Using formula:
[tex]{ \boxed{ \sf{F = \dfrac{v}{ \lambda} }}} \\ [/tex]
Where,
F is frequency,v is wave speed,λ is WavelengthOn substituting the required values, we get:
[tex] \dashrightarrow \sf \: F = \dfrac{80}{0.3} \\ \\ \dashrightarrow \sf \: F = 266.6 \: Hz[/tex]
Therefore,
Frequency of the wave is 266.6 Hertzmembers of the phylum_______ are adapted to live in harsh environments
Why are sea breezes felt during the day and land breezes at night?
Answer: Unequal heating rates of land and water
Explanation: During the day the land heats up faster, the warm air over the land rises up and the cold air from the sea blows towards the land causing a sea breeze.
pls help asap!! due in 45 mins!!
Which of the following minerals are elements found in nature? Select one or more.
1. Gold
2. Granite
3. Oxygen
4. Silver
5. Copper
6. Zinc
7. Iron
Why do scientists today think that the modern model of the solar system is better than Ptolemy's model? (please help)
Answer:
its because the modern model of our solar system is much more updated to the Ptolemy's model
What is the frequency of a beam of light traveling through a
vacuum with a wavelength of 5 x 104m? The speed of light in a
vacuum is 3.00 × 108 m/s.
the answer I got was 6000Hz
An electron moves in a circular path with a radius of 0.20 m at a constant speed of 1.5 X 105 m/s. What is the period of its motion?
Answer:
V = 2 π R / T speed V where T is period
T = 2 π R / V = 2 π * .2 m / 1.5E5 m/s = 8.38E-6 sec
Period = 8.36 * 10-6 sec