The magnitudes of the electric field at the following distance 0cm,10cm,40cm,72cm are 0,5.2 x 105 N/C,2.1 x 106 N/C and 6.42 x 105 N/C.
What is an electric field?An electric field is a physical field that surrounds a charged particle and exerts a force on all other charged particles in the field to attract or repel each other. Electric fields are generated by electric charges and time-varying currents. Both electric and magnetic fields are manifestations of the electromagnetic field, one of nature's four fundamental interactions (also called forces). Electric fields are important in many areas of physics and are used in electrical engineering. For example, in atomic physics and chemistry, the electric field is the gravitational force that holds atomic nuclei and electrons together. It is also the force responsible for the chemical bonds between atoms that form molecules.
R = 40 cm = 0.4 m ; q = 31.9 \muC = 32 x 10-6 C ;
We need to find the expression for E field for given geometry.
from Gauss law,
(r). dA = Qin/ e0
E(r) \oint dA = Qin/ e0
E(r) . 4 pi r2 = Qin/ e0
E(r) = Qin/4 pi[tex]r^{2}[/tex]
For, Qin = Q (4 pi r3 / 4 pi R3) = Q (r/R)3 putting this in above equation
E(r) = Q r3/4 pir2
R3 = E(r) = Q r /4 piR3
E(r) = Q r /4 pi R3 (1)
For, Qin = Q
E(r) = Q/4 pi r2 (2)
(a) Since r = 0 is r < R
Using 1
E(r) = E(0) = 0
(b) r = 0.1 m
Again using 1
E(r) = Q r /4 piR3
E(0.1) = 9 x 109 x 37 x 10-6 x 0.1 / (0.4)3 = 5.2 x 105 N/C
Hence, E(0.1) = 5.2 x 105 N/C
(c) r = 0.4 m
We will use (2) here
E(r) = Q/4 pi r2
E(0.4) = 9 x 109 x 37 x 10-6 / (0.4)2 = 2.1 x 106 N/C
Hence, E(0.4) = 2.1 x 106 N/C
d)r =0.72 m
We will use (2) here
E(r) = Q/4 pi r2
E(0.72) = 9 x 109 x 37 x 10-6 / (0.72)2 = 6.42 x 105 N/C
Hence, E(0.4) = 6.42 x 105 N/C
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A cross-country skier moves 36 meters eastward, then 44
meters westward, and finally 22 meters eastward.
What is the magnitude and direction of the displacement ?
Answer:
d = 102 m
Explanation:
distance = 36 m + 44 m + 22 m
Distance = 102 m
How many of the 900 positive 3-digit numbers have a units digit of 2 and are the square of an integer?
The simple solution is to count all the integers that only have odd digits and subtract them from 900. Final solution: 900 – 125 = 775.
What are odd digits?Odd and even numbers have opposite parities, therefore 13 is an example of an odd number. In particular, zero has an even parity. The parity of any pair of consecutive integers is opposite. The last digit of an integer stated in the decimal numeral system determines whether the value is even or odd. That example, an odd number is one where the last digit is one, three, five, seven, or nine; otherwise, an even number is one where the last digit is one, two, four, six, or eight.
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Recoil is noticeable if we throw a heavy ball while standing on roller skates. If instead we go through the motions of throwing the ball but hold onto it, our net recoil will be.
Answer:
we will feel unstable on the skates. Because the recoil force pushes us forward, and affect our balance
A ball hits a wall going 10 m/s, and bounces off going 8 m/s. the coefficient of restitution is?
A ball hits a wall going 10 m/s, and bounces off going 8 m/s. the coefficient of restitution is
the coefficient of restitution is 0.8.Given that
A ball hits a wall going 10 m/s, and bounces off going 8 m/s.To find
the coefficient of restitutionSo according the question
We have
The initial velocity of approach towards the wall isu = 10 m/s.
The final velocity of separation from the wall after the collision isv = 7 m/s.
Now, We have to find the coefficient of restitution
We know that,
[tex]n = \frac{velocity \;\;of \; \;separation}{velocity \;of \;approach}[/tex]
So,
[tex]n = \frac{8}{10}[/tex]
n = 0.8
The coefficient of restitution is 0.8.
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An object has a 2 c charge. the object breaks into two pieces. one piece has a charge of -5 c. what is the exact charge (in c) of the other piece? do not include units with your answer.
An object has a 2 c charge. the object breaks into two pieces. one piece has a charge of -5 c is 7
What is charge?Charge is the traveling longitudinal wave energy. Mass and charge are the indeed related and can be simplified to a single energy equation. To relate mass and charge, Coulombs can be explained as the wave amplitude, which is measured as a distance (meters). If one assumes a substance in vacuum of space that has a physical property of kilograms, and moves as waves, then mass and charge can be described as their motion. In EWT, this substance is referred to as the ether and its components as granules.
Let's call Q the initial charge of object, which is:
Q=2c
When it breaks, two pieces will have charge and , and since the total charge must be conserved, the sum of these two charges must be equal to the initial charge of the object:
Q=Q1+Q2
We also know charge of one of the two pieces:
Q1=-5
So, by substituting Q and Q1 into the equation, we can find charge of the second piece, Q2:
Q2=Q-Q1=2-(-5)=+7
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a bullet in a gun is accelerated from the firing chamber to the end of the barrel at an average rate of 6.3 cross times 10 to the power of 5 space m divided by s to the power of 2 space end exponent for 8.1 cross times 10 to the power of negative 4 end exponent space s. what is the bullet’s final velocity when it leaves the barrel, commonly known as the muzzle velocity?
The muzzle velocity of the bullet is 510.3 m/s.
What is muzzle velocity?The projectile's speed when it exits the gun's muzzle is known as muzzle velocity.
The quality (burn speed, expansion) and quantity of the propellant, the mass of the projectile, and the length of the barrel all affect the muzzle velocity of conventional firearms. While a slower burning propellant can use a heavier projectile, it requires a longer barrel to burn completely.
Apply the kinematics equation,
v=u+at
Here v is the final velocity, u is the initial velocity, a is the acceleration and t is the time interval during which a body is under acceleration.
The muzzle velocity of a bullet is the velocity with which the bullet leaves contact with the barrel of the gun.
The muzzle velocity or the final velocity of the bullet will be
v=u+at
v=0+(6.3×[tex]10^{5}[/tex])(8.1×[tex]10^{-4}[/tex])
=50.3 m/s
Therefore, the muzzle velocity of the bullet is 510.3 m/s.
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How much work, , must be done on a system to decrease its volume from 17.0 l to 9.0 l by exerting a constant pressure of 4.0 atm? =
By applying the specified constant pressure, the system's work done to reduce its volume from start to final is 32 l atm.
Initial volume v1 = 17.0 l
final volume v2 = 9.0 l
Pressure P= 4.0 atm
When a gas expands, there is an amount of work that is done that is equal to the product of the gas's pressure and its volume change.
We apply the formula for work done by gas against a constant external pressure.
expression: Work done = -(P. d V)
Therefore substituting the values :
Work done = - P (v2 - v1)
= - 4.0 x (-8.0) l atm
= 32 l atm.
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Make the following prefix conversions.
600,000 cm = Km
0.06
60
6
0.6
Answer: 6 km
works on odyseyware
The answer would be is 6 km
A ______ focal length lens makes the background and foreground appear closer together.
Short focal length lens makes the background and foreground appear closer together.
What is a short focal length made lens?Short focal length lenses are sometimes known as wide-angle or wide-field lenses, which accurately defines their key characteristic—they view a larger angle of a scene than is typical.
When your eyes are fixed in one place and you look at a scene, a lens with a typical focal length captures what you see.
Are shorter focal lengths preferable?The angle of view is narrower, and the magnification is higher the longer the focal length.
What are short lenses used for?A shorter focal length results in a wider angle of view and a lower magnification.
Because they provide a broad field of view, short focal length lenses are frequently utilized in architectural, documentary, and landscape photography. These telephoto lenses enable
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if you shout into the grand canyon, your voice travels at the speed of sound (340 m/s) to the bottom of the canyon and back, and you hear an echo. how deep is the grand canyon at a spot where you can hear your echo 5.2 seconds after you shout? [hint: think about the path the sound has to travel for you to hear your own echo.]
The Grand Canyon is 884 m deep from the spot where I heard the echo
The formula for uniformly rectilinear motion (URM) and procedure we will use to solve this exercise is:
v = x /t
Where:
x = distancet = timev = velocityInformation about the problem:
t(echo) = 5.2 sv= 340 m/sx = ?Notice that the echo is a sound that is produced when its wave hits an object (Grand Canyon) and returns to the place where it was emitted (person), that is to say that to calculate the time in which the echo arrived effectively to the bottom of the canyon we must divide it by 2.
t(canyon's bottom) = t(echo)/2
t(canyon's bottom) = 5.2 s/2
t(canyon's bottom) = 2.6 s
Applying the velocity formula, and isolating the distance, we get:
v = x /t(canyon's bottom)
x = v * t(canyon's bottom)
x = 340 m/s * 2.6 s
x = 884 m
What is velocity?It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).
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How is gravity helping to widen the valley of the Colorado River through the Grand Canyon?
Gravity helps to widen the valley of the Colorado River through the Grand Canyon through the forces which increases the pressure thereby leading to it being eroded.
What is Gravity?This is referred to as the force of attraction which occurs on objects which draws them toward the center of the planet.
Gravity acts downwards on all bodies on earth which is why the Colorado River erodes downward. This then results in the movement of materials from high to low areas.
This the leads to the continual widening of the valley of the Colorado River through the Grand Canyon and is therefore referred to as the most appropriate answer.
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Assuming that this sound was emitted as a spherical wave, what was the power emitted by the burper during his record burp?
1.15.42 Loudness of sound is the power emitted by the burper during his record burp.
What is the most audible burp ever recorded?Decibels: 112.4
Neville Sharp (Australia) has broken the record for the loudest male burp, which had stood for over a decade.' On July 29, 2021, Neville's mighty burp was measured at 112.4 decibels (db.) in Darwin, Northern Territory, Australia. That is louder than a typical electric drill or trombone.Paul Hunn set the Guinness World Record for the loudest burp on August 23, 2009, at Butlins Bognor Regis in the United Kingdom. At a distance of one meter, this is louder than a jackhammer.At 0 degrees Celsius, a sound of 194 dB has a pressure deviation of 101.325 kPa, which is ambient pressure at sea level. At 194 dB, the waves are effectively creating a complete vacuum between themselves.To learn more about power emitted by the burper refer to
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a 1.7 μc charge and a 2.5 μc charge are 12.5 cm apart. find a point where the electric field is zero.
The point where the electric field is zero is situated at a distance of 0.056 meters or 5.6 centimeters from the 1.7 uC charge.
The electric field(E) due to a charge is given by the formula,
E = KQ/r^2
For a point where the electric field is zero, the magnitude of the field due to two charges should be equal so that they cancel each other
Hence, the field produced due to 1.7 uc at the point should be equal to the field produced by the 2.5 uc charge.
Let the distance of the point where the electric field is zero be x from the 1.7 uc.
So, the distance of the point where the field is zero will be (0.125 - x) from 2.5 uc.
K(1.7uc)/x^2 = K(2.5uc)/(0.125 - x)^2
Solving the above equation
x comes out to be 0.056 meters or 5.6 centimeters.
Hence, The point where the electric field is zero is situated at a distance of 0.056 meters or 5.6 centimeters from the 1.7 uC charge.
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The point where the electric field is zero is situated at a distance of 0.056 meters or 5.6 centimeters from the 1.7 uC charge.
The electric field(E) due to a charge is given by the formula,
E = KQ/r^2 equation 1
For a point where the electric field is zero, the magnitude of the field due to two charges should be equal so that they cancel each other
Hence, the field produced due to 1.7 uc at the point should be equal to the field produced by the 2.5 uc charge.
Let the distance of the point where the electric field is zero be x from the 1.7 uc.
So, the distance of the point where the field is zero will be (0.125 - x) from 2.5 uc.
Substitute the values of charges in equation1 and equate the equations for two different charges,
K(1.7uc)/x^2 = K(2.5uc)/(0.125 - x)^2
(1.7uc)(0.125 - x)^2 = (2.5uc) x^2
On simplifying the above equation
x = 0.056 meters or 5.6 centimeters.
Hence, the point where the electric field is zero is situated at a distance of 0.056 meters or 5.6 centimeters from the 1.7 uC charge.
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Help me please, it's for physics and I really need help.
Answer:
4. y = 2.38333t - 26.55 is the answer.
19. Jorge was driving at 20m/s. He accelerated at a rate of 2m/s² for 10s. How far did he travel during this time?
Jorge was driving at 20m/s. He accelerated at a rate of 2m/s² for 10s.
So he travel ---m during this time.
Jorge was driving at 20m/s, so speed = 20 units
He accelerated at a rate of 2m/s² so acceleration = 2 units
Time taken by Jorge is 10 units.
We know by Newton's 2nd equation of motion that
S= ut + (1/2)*a*t*t
where S is distance, a is acceleration, u is initial velocity and t is time.
So S=?
Time t = 10
Acceleration a =2
Initial Velocity u = 20
Hence distance travelled by Jorge is S=300 m
Thus Jorge travelled 300m during this time at speed 20m/s accelerated at a rate of 2m/s² for 10s.
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what is a set of particles or interacting components considered to be a distinct physical entity for the purpose of study.
a system is a collection of particles or interacting parts that is regarded as a unique physical entity for the purposes of study.
What is a physical entity?It is an entity that has a physical existence. An entity is something that exists in itself, real or potential, concrete or abstract, physical or not. It does not have to be of material existence. In particular, legal abstractions and fictions are generally considered entities. Also, in general, an entity is not considered animate. The word entitative is the adjective form of the nominal entity. Something entity is considered for itself. In philosophy, ontology consists in recognizing entities. The words ontic and entity derive from the present participles of ancient Greek and Latin, respectively, meaning being.
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an analysis of the advantages and limitations of vacuum tubes in terms of performance and reliability
Vacuum tubes enjoy numerous upper hands over semiconductor gadgets in applications between 300 MHz and 300 GHz.
What is a vacuum tube?A vacuum tube, electron tube, valve (English use), or cylinder (North America), is a gadget that controls electric flow stream in a high vacuum between terminals to which an electric potential distinction has been applied.
The sort known as a thermionic cylinder or thermionic valve uses thermionic emanation of electrons from a hot cathode for basic electronic capabilities like sign intensification and current correction. Non-thermionic sorts, for example, a vacuum phototube, notwithstanding, accomplish electron outflow through the photoelectric impact, and are utilized for such purposes as the discovery of light powers. In the two sorts, the electrons are advanced from the cathode to the anode by the electric field in the cylinder. Sound power speaker utilizing tubes, in activity. Red-orange sparkle is from warmed fibers. Delineation addressing a crude triode vacuum tube and the polarities of the run of the mill dc working possibilities. Not shown are the impedances (resistors or inductors) that would be remembered for series with the C and B voltage sources.
Every group of vacuum tubes (triodes, tetrodes, and their subordinates including magnetrons, klystrons, crossed field speakers, voyaging wave tubes and gyrotrons) have their own qualities as far as working recurrence, quick data transmission, top power, mean power, gain (enhancers), electrical proficiency, linearity, dependability and lifetime. This makes it simpler to choose the most reasonable vacuum tube for a given application.
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Where on the x-axis can a third positive charge be placed so that the net electric force on it is zero?
A third positive charge [tex]x = \frac{2\sqrt{2}a }{1+\sqrt{2} }[/tex] can be placed on the x-axis so that the net electric force on it is zero.
whilst -factor charges are in touch, there may be
[tex]F = k \frac{q_{1}q_{2} }{ r^{2} }[/tex]
Where
[tex]k = 9 * 10^{9} Nm^{2}C^{-1}[/tex] = the coulomb constant.
The charges' magnitudes are [tex]q_{1}[/tex] and [tex]q_{2}[/tex].
r is the separation of the charges.
Let,
The third charge equals Q at, x equals x from the source.
because there is no net force acting on the third charge.
Hence,
[tex]f_{1} + f_{2} = 0[/tex]
⇒ [tex]k\frac{(2q)Q}{x^{2} }-k\frac{qQ}{(2a-x)^{2} } = 0[/tex]
⇒ [tex]\frac{2}{x^{2} } - \frac{1}{(2a-x)^{2} } = 0[/tex]
⇒ [tex]\frac{2}{x^{2} } = \frac{1}{(2a-x)^{2} }[/tex]
⇒ [tex]\frac{\sqrt{2} }{x} = \frac{1}{2a-x}[/tex]
⇒ [tex]2\sqrt{2}a - \sqrt{2} = x[/tex]
⇒ [tex]x = \frac{2\sqrt{2}a }{1+\sqrt{2} }[/tex]
handiest when forces resulting from previous prices cancel every different out will the pressure on a third fee be 0.
at the same time as the pressure between identical costs is repulsive and is interpreted as high-quality, the pressure between two opposing expenses is attracted and is interpreted as bad.
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Where will you store your carolina distance learning kit box when it is not in use, and why?
I will store carolina distance learning kit box in a refrigerator.
To increase their shelf life, they should be refrigerated as soon as they arrive. Keep the lyophilized cultures away from youngsters in a sealed, labeled plastic bag.
What is lyophilized cultures?Bacteria must be suspended in a medium that supports their viability during freezing, water removal, and subsequent storage if they are to be preserved by lyophilization.
The vials should be put within a freeze-dryer chamber, and the chamber should be vacuumed as directed by the manufacturer. Give the culture enough time to fully lyophilize (dry out).
Water is removed from a product after it has been frozen, and it is then placed in a vacuum, allowing the product to convert directly from solid to vapor without going through a liquid phase. This process is known as lyophilization or freeze drying.
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the total resistance of any number of parallel resistances, all having the same value, is equal to the value of any one of the resistors divided by the total number of resistors.
The correct answer is true.
The algebraic sum of the inverses of the individual resistances is then the inverse of the equivalent resistance of two or more resistors linked in parallel.
The total or equivalent resistance, RT, is equal to half the value of one resistor if the two parallel resistances or impedances are equal and of the same value. That is equivalent to R/2, R/3, etc., for three parallel resistors of identical value.
The total resistance, RT, will always drop when more parallel resistors are added since the equivalent resistance is always smaller than the smallest resistor in the parallel network.
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a boat is stationary at 12\, \text{meters}12meters12, start text, m, e, t, e, r, s, end text away from a dock. the boat then begins to move toward the dock with an acceleration of 5.0\, \dfrac{\text{m}}{\text{s}^2}5.0 s 2 m 5, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction. how long will it take the boat to reach the dock?
The time taken for the boat to reach the dock is 2.19 s
Data obtained from the questionFrom the question given above, the following data were obtained:
Initial velocity (u) = 0 m/sDistance (s) = 12 mAcceleration (a) = 5 m/s² Time (t) = ?How to determine the timeThe time taken for the boat to reach the dock can be obtained as illustrated below:
s = ut + ½at²
12 = (0 × t) + (½ × 5 × t²)
12 = 0 + 2.5t²
12 = 2.5t²
Divide both side by 2.5
t² = 12 / 2.5
Take the square root of both side
t = √(12 / 2.5)
t = 2.19 s
Thus, the time taken is 2.19 s
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Match the type of Entrepreneurship to the description that best fits.
Has an ideal, product or service for the business world
Start up their business due to their lifestyles such as sports hobbies or passions
Has to innovative ideas for social change, solutions, etc.
Has multiple startups do to new ideas.
1. Business Entrepreneur
2. Social Entrepreneur
3. Serial Entrepreneur
4. Lifestyle Entrepreneur
A business entrepreneur has a product or service for the business world, a Social one has ideas for social change, a Serial one has multiple startups and a Lifestyle one starts up their business due to their lifestyles.
A business entrepreneur starts new business with his own money. Some of the famous business entrepreneurs are Steve Jobs, Mark Zuckerberg and Bill Gates. A social entrepreneur develops solutions for social issues and directly addresses them. For example, microfinancing institutions provide banking services to low - income and unemployed people.
A serial entrepreneur can create ideas into successful businesses on a regular basis. They do not stop at one business. Elon Musk is a great example of a serial entrepreneur. A lifestyle entrepreneur creates business to change their lifestyle. A lifestyle entrepreneur does not necessarily make profits. Blogging and photography are some of the examples of lifestyle entrepreneurship.
Therefore,
1. Business Entrepreneur - Has an ideal, product or service for the business world
2. Social Entrepreneur - Has to innovative ideas for social change, solutions, etc.
3. Serial Entrepreneur - Has multiple startups do to new ideas.
4. Lifestyle Entrepreneur - Start up their business due to their lifestyles such as sports hobbies or passions
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Answer:
1. Business
2. Social
3. Serial
4. Lifestyle
Can atomic theory be eliminated
Answer: Atoms cannot be created nor destroyed, and they are indestructible; they cannot be broken into smaller parts. This was based on the Law of Conservation
Explanation: hope this helps you a little!!
A small cube of metal measures 16.8 mm on a side and weighs 35.9 g.what is the density of the metal in g/cm3?
Answer:
21.4 g/cm3
Explanation:
why did scientists using classical, newtonian physics have difficulty explaining the photoelectric effect
The correct answer is :
According to classical electrodynamics, light energy is a wave that is absorbed by atoms in a manner similar to how an object absorbs radiant heat. So, the atoms of a metal would absorb more energy the brighter the light was. It would be feasible for an electron in a metal to break free from its atoms if it received enough energy from the incoming wave. The more energy absorbed, the more energetic the metal's released electrons would be. Additionally, no electrons could conceivably be ejected until each atom had enough light energy. Light intensity was far more important than light frequency.
In many respects, the photo-electric effect contradicted this strategy:
If the light was below a specific frequency, no matter how bright it was, no electrons were released. Increased light intensity increased the number of electrons that were released, but not their energy, if the light was above this frequency.Regardless of how weak the light was, electrons were nearly immediately emitted from the metal. Even though the intensity of the light was reduced, an increase in its frequency led to more energising electrons leaving the metal.To learn more about photo-electric effect refer the link:
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electricity is distributed from electrical substations to neighborhoods at 16000 v. this is a 60 hz oscillating (ac) voltage. neighborhood transformers, seen on utility poles, step this voltage down to the 120 v that is delivered to your house.
The correct answer is 1.575 A.
a)
From Transformer turns ration
N_s/N_p =V_s/V_p
=>N_p =N_s × (V_p/V_s) =100 × (1.6 × 10^4/120)
N_P=1.33 × 10^4 Turns
b)
P_out =P_in
V_sI_s =V_PI_P
210 × 120 =(1.6 × 10^4)I_p
I_p=1.575 A
What is the working principle of an electric generator?
The generator is composed of a coil with many copper wires coiled around an iron core that is rectangular in shape. The armature is the term for this coil. This armature's purpose is to boost the magnetic flux. The armature revolves between two powerful permanent magnets that have been set. Here, the magnetic lines that are created are orthogonal to the axis of the armature. Two slip rings are further attached to the armature's arms. Two metallic brushes are also linked to the slip rings, which aid in moving current from the armature to the slip rings. These rings are employed for creating moveable contact. Last but not least, the current flows via a load resistance that is wired in parallel with and across the two slip rings.
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If the astronaut throws the tool with a force of 16. 0 n , what is the magnitude of the acceleration a of the astronaut during the throw? assume that the total mass of the astronaut after she throws the tool is 80. 0 kg.
The magnitude of the acceleration attained by the tool will be [tex]0.2\frac{m}{s^{2} }[/tex]
It is given that the force is acting upon a tool that attains an acceleration. The tool has a certain mass. We know that Force is calculated by the product of mass and acceleration of the object which gives us the following equation: => F = m*a, where F = Force, m = Mass of the object, and a = acceleration attained by the object.
Sp, F = 16N, M = 80 kg, and acceleration = a
Putting these values into the Formula to calculate Force we get :
=> F = ma => 16 = 80*a => a = 16/80
=> a = 0.2
Hence, we get Acceleration a = [tex]0.2\frac{m}{s^{2} }[/tex]
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light strikes a 5.0-cm thick sheet of glass at an angle of incidence in air of 50°. the sheet has parallel faces and the glass has an index of refraction 1.50. a. what is the angle of refraction in the glass? b. after traveling through the glass the light re-emerges into the air. what is the final angle of refraction in air? c. as it leaves the glass, by what distance is the path of the ray is displaced from what it was before entering the glass?
The angle of refraction in the glass is 30°.
Calculationi= 50°
u= 1.50
u1sini=u2sinr
⇒sinr =[tex]\frac{sin 50}{1.5\\}[/tex]
=0.50=1/2
so angle r = [tex]sin^{-1}[/tex](0.5) =30°
Then we have to calculate r final.
[tex]u_{glass}[/tex]sini= [tex]u_{air}[/tex] sinr
⇒ r = [tex]sin^{-1}[/tex] (1.5 x [tex]\frac{\sqrt{3} }{2}[/tex])
[tex]sin^{-1}[/tex](1.29) = 0.0225
Then the displacement can be calculated as follows:
T= thickness = 5cm
s= t (1- 1/u)
s= 2cm
Thus, all the values have been found out.
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you walk 3 km due east, then 2.5 km due south, then 11 km due west. how far are you from your start position?
If you walk 3 km due east, then 2.5 km due south, then 11 km due west, then you are 9.34 km far from the starting point.
Pythagoras theorem applicationIf you connect all the paths, it will make a triangle. If you join your current position with the start position, then you get the triangle ADE.
This question can be solved by using the application of Pythagoras theorem.
This theorem states that in a right-angled triangle, square of longest side is equal to the sum of the individual squares of the other two sides
Here, AD is the same as BC = 2.5km
and then EC = 11km and DC = AB = 3km
ED= EC-DC = 9 km
In the triangle ADE, according to Pythagoras theorem,
AE^2 = AD^2 + ED^2
so, AE = sqrt (9^2 + 2.5^2)
⇒ AE= sqrt (81 + 6.25)
⇒ AE = 9.34 km
Thus, you are about 9.34 km distance from your start point.
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A soccer ball was kicked toward the goal. The horizontal component of velocity was 22 m/s and the vertical component was 12 m/s. What is the magnitude of the resultant velocity of the soccer ball?.
The magnitude of the resultant velocity of the soccer ball is: 25.059 m/s
The formula for projectile motion that we will use to solve this exercise is:
vf= √[v(x)² + v(y)²]
Where:
vf= final velocityv(x)= horizontal component of velocityv(y)= vertical component of velocityInformation about the problem:
v(x)= 22 m/sv(y)= 12 m/svf=?Applying the final velocity formula we have:
vf= √[v(x)² + v(y)²]
vf= √[(22 m/s)² + (12 m/s)²]
vf= √[484 m²/s² + 144 m²/s²]
vf= √[628 m²/s²]
vf= 25.059 m/s
What is projectile motion?The projectile motion is the motion whose trajectory describes a parabola having a horizontal and a vertical component of motion.
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