The constant velocity of center of mass when the spring is at maximum compression is V = ( [tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] ) / ([tex]m_{1} + m_{2}[/tex] )
When two objects collide the momentum is always conserved no matter the type of collision. But in case of kinetic energy, it is conserved only if the collision is elastic. Here the collision is elastic due to the presence of a spring. So, in this situation kinetic energy is conserved.
At maximum compression, According to law of conservation of momentum,
Sum of linear momentum before collision = Sum of linear momentum after collision
[tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] = ([tex]m_{1} + m_{2}[/tex] ) V
V = ( [tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] ) / ([tex]m_{1} + m_{2}[/tex] )
where,
V = Velocity of center of mass
[tex]m_{1}[/tex] = Mass of glider 1
[tex]m_{2}[/tex] = Mass of glider 2
[tex]v_{1}[/tex] = Velocity of glider 1
[tex]v_{2}[/tex] = Velocity of glider 2
Therefore, the constant velocity of center of mass when the spring is at maximum compression is V = ( [tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] ) / ([tex]m_{1} + m_{2}[/tex] )
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The price elasticity of demand for widgets is 0.5. assuming no change in the demand curve for widgets, an increase in sales of 8 percent implies a(n):________
The demand for widgets has a price elasticity of 0.5. If we assume no change in the demand curve for widgets, an increase in sales of 8 percent implies a(n) 32% reduction in price.
Solution and ExplanationThe basic formula for the price elasticity of demand coefficient is:
Percentage change in quantity being demanded/percentage change in the price
What is Demand elasticity?Demand elasticity the price elasticity of demand (PED) of a good is a measurement of how responsive the quantity demanded is to the price.
Almost all goods see a decrease in quantity demanded when prices rise, however certain goods experience this decrease more than others.
When a price increases by 1% while all other factors remain constant, the price elasticity provides the percentage change in the quantity required. If the elasticity is 2, a 1% increase in price results in a 2% decrease in the amount demanded.
Other elasticities gauge how changes in other factors affect the quantity needed (e.g., the income elasticity of demand for consumer income changes).
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True/false: you should begin viewing a specimen with the 10x objective lens.
a. true
b. false
You should begin viewing a specimen with the 10X objective lens that is false.
What is a lens?An optical device known as a lens uses refraction to focus or disperse a light beam. A compound lens is made up of multiple simple lenses (elements), typically aligned along a common axis, as opposed to a simple lens, which is one solid piece of transparent material. Glass or plastic are used to make lenses, which are then polished or molded into the required shape. In contrast to a prism, which just refracts light without focusing it, a lens can focus light to create an image. In addition to focusing visible light, lenses can also be used to disperse various types of waves and radiation, such as explosive, microwave, electron, and acoustic waves.
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A hockey puck is set in motion across a frozen pond. if friction and air resistance are ignored, how much force is required to keep the puck sliding at constant velocity? *
A hockey puck is set in motion across a frozen pond, if friction and air resistance are ignored, zero newton force is required to keep the puck sliding at constant velocity .
What is a friction?The force preventing solid surfaces, fluid layers, and sliding material components from moving in the same direction is known as friction. Friction between two surfaces causes kinetic energy to be converted into thermal energy when they move in relation to one another (that is, it converts work to heat). The utilization of friction produced by rubbing pieces of wood together to start a fire serves as an example of how this attribute can have dramatic effects. When a viscous fluid is agitated, for instance, kinetic energy is transformed into thermal energy. Wear, which can result in component damage or performance degradation, is another significant effect of various types of friction. Tribology is a field of study that includes friction.
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The illustration shows a class one lever, which is being used to lift an object with a weight of 8 Newtons.
4m
What is the output force of this lever?
2 N
The output force of the given lever is determined as 32 Joules.
What is output force?
The output force of an object is the product of load or weight of an object being lifted and distance through which the load moves.
The output force of the given lever is calculated as follows;
Output force = Load x distance moved load
Output force = 8 N x 4 m
Output force = 32 Joules
Thus, the output force of the given lever is determined as 32 Joules.
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A ball is rolled horizontally off the top of a table. After 3 seconds the ball lands on the ground with a final velocity of −3.5 m/s. Which kinematic equation would be most useful for finding the ball’s initial velocity? (Assume a= −9.8 m/s2)
The initial velocity of the ball cannot be found only using the given information. Horizontal distance travelled is required to calculate the initial velocity and vice-versa.
In a horizontally launched projectile motion, the initial velocity is the velocity in x-direction which is constant throughout the motion. In y-direction the initial velocity is zero. Using the information given in y-direction, vertical distance can be found.
According to kinematic equations,
Δy = [tex]u_{oy}[/tex]t + 1 / 2 gt²
Δy = 0 + ( 1 / 2 ) * 9.8 * 3²
Δy = 44.1 m
For calculating factors in the x-direction,
[tex]V_{0x}[/tex] = [tex]d_{x}[/tex] / t
Without one of the missing factors, the other cannot be found.
Therefore, the initial velocity of the ball cannot be found only using the given information.
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A) an electron has an initial speed of 226000 m/s. if it undergoes an acceleration of 4.0 x 1014 m/s2, how long will it take to reach a speed of 781000 m/s? answer in units of s.
The final speed is found to be 1.3 × 10⁻⁹ seconds.
Initial speed -226000 m/s
Acceleration - 4.0 x 1014 m/s2,
Speed - 781000 m/s
What is Acceleration?Acceleration is a rate of change of velocity with respect to time with respect to direction and speed.A point or an object moving in a straight line is accelerated if it speeds up or slows down.Acceleration formula can be written as,a = (v - u ) / t m/s²
As we have to find the time taken, the formula can be altered as,
t = v - u / a
where, t - time taken to reach a final speed
v - final velocity
u - initial velocity
a - acceleration.
Substituting all the given values,
[tex]t =\frac{781000 - 226000} {4* 1014}[/tex]
= 1.3875 × 10⁻⁹ seconds.
So, taken to reach the final speed is found to be 1.3 × 10⁻⁹ seconds.
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Convert the following temperatures.
a. 75 K to degrees Fahrenheit
b. 96°F to degrees Celsius
Isotopes share a(n) ____________ but differ in atomic mass because they have different numbers of neutrons.
Isotopes share the same atomic number but differ in atomic mass because they have different numbers of neutrons.
What are isotopes?Isotopes are two or more atom types that share the same atomic number (number of protons in their nuclei), location in the periodic table, and chemical element but have distinct nucleon numbers (mass numbers) as a result of having a different number of neutrons in their nuclei. The term isotope is derived from the Greek roots isos and topos, meaning "the same place," and refers to the fact that multiple isotopes of a single element occupy the same position on the periodic table, even though they have somewhat different atomic weights and physical properties.
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Acceleration is obtained of 6 m/s2 with a force of 36 n. what is the mass of the object accelerating?
The mass of the object is 6 kg.
Any push or pull applied to an object is termed a force. In other words, force is defined as the product of the mass of the object and its acceleration. SI unit of force is Newton and that is denoted by the symbol N. Force is termed as a vector quantity because it has both magnitude and direction.
[tex]Force = Mass × Accleration [/tex]
[tex] F = m × a[/tex]
Acceleration is defined as the rate at which velocity changes an object over time.
Si unit of the acceleration is a meter per second square.
[tex]Accleration = \frac{Velocity}{ Time}[/tex]
[tex]a = \frac{v}{t} [/tex]
Acceleration = 6 m/s²
Force = 36 N
The mass of the object is,
[tex]F = m × a[/tex]
[tex]36 = m \times 6[/tex]
[tex]m = \frac{36}{6} [/tex]
[tex]m = 6 \: kg[/tex]
Therefore, the mass of the object is 6 kg.
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A person that is sleeping on her stomach rolls over so that she is now sleeping on her back. The person moved from the ________ position to the _________ position. (2 points)
a
superior; inferior
b
inferior; superior
c
prone; supine
d
supine; prone
Answer:
c. prone; supine
Explanation:
Find the prime factorization of the integers of the form 10p-1 for p=1-7 what is the relevance of these factorizations to the behavior to the behavior of the decimal representation?
The integers can be arranged in the form of 10p - 1 such that p = 1-7 in the was as follows:
10p-1 = (10*1) - 1 = 9 = [tex]3^{2}[/tex] = 3x3
10p-1 = (10*2) - 1 = 19 = [tex]19^{1}[/tex]
10p-1 = (10*3) - 1 = 29 = [tex]29^{1}[/tex]
10p-1 = (10*4) - 1 = 39 = 3x13
10p-1 = (10*5) - 1 = 49 = [tex]7^{2}[/tex] = 7x7
10p-1 = (10*6) - 1 = 59 = [tex]59^{1}[/tex]
10p-1 = (10*7) - 1 = 69 = 3x23
Here we see that not all are in the form of 2^n x 5^m where n and m are non-negative integers.
As per the rule, if A =p/q be a rational number such that p and q are co-prime and the prime factorization of q is not in the form of 2^n x 5^m where n and m are non-negative integers, then A has a decimal expansion which is non-terminating recurring decimal.
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A ball is thrown vertically upward and then comes back down. During the ball's flight up and down, its velocity and acceleration vectors are?
During the ball's flight up its velocity and acceleration vectors are in opposite direction and during the ball's flight down its velocity and acceleration vectors are in same direction.
The velocity vector is always in the direction of motion of the object. So, during the ball's flight up its velocity vector is in the upward direction (90°) and during the ball's flight down its velocity vector is in the downward direction (270°).When there is a positive acceleration in the object the acceleration vector is in the direction of motion of the object. When there is a negative acceleration in the object the acceleration vector is in the opposite direction of motion of the object. So, during the ball's flight up its acceleration vector is in the downward direction (270°) and during the ball's flight down its acceleration vector is in the upward direction (90°).Velocity vector is the rate of change of position of an object. Acceleration vector is the rate of change of velocity of an object.
Therefore, during the ball's flight up its velocity and acceleration vectors are in opposite direction and during the ball's flight down its velocity and acceleration vectors are in same direction.
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Why is the use of carbon- 14 dating limited?
Answer:
because carbon 14 has only a short half life, rather than other elements with longer half lives.
Explanation:
✨science✨
A rectangular piece of land with an area of 260,000 m²
is 2,000 m long. Write the area and length in scientific
notation, and then find the width.
Considering the defintion of area of a rectangle and multiplication in scientific notation, you obtain:
the rectangular piece of land with an area of 2.6×10⁵ m² is 2×10³ m long.the width of the rectangular piece is 1.3×10² m.Scientific notationScientific notation is a quick way to represent a number using powers of base 10.
The numbers are written as a product:
a×10ⁿ
where:
a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number.n is a whole number, which is called an exponent or an order of magnitude. Represents the number of times the point decimal is shifted. It is always an integer, positive if it is shifted to the left, negative if it is shifted to the right.Area of a rectangle
A rectangle is a flat geometric figure with four sides, of which two sides that are opposite parallel to each other have the same length and the remaining two have another length.
The area of a rectangle is calculated from the two different sides (a and b). It is the product of the two contiguous sides of the rectangle:
Area of a rectangle= a×b
where a and b are the measures of the two sides.
Area and length in scientific notationA rectangular piece of land with an area of 260,000 m² is 2,000 m long.
To write the area and length in scientific notation, the following steps are performed:
The decimal point is moved to the left as many spaces until it reaches the right of the first digit. This number will be the value of a in the previous expression. Then: area= 2.60000= 2.6 and length= 2.000= 2.The base 10 is written with the exponent equal to the number of spaces that the decimal point moves. This is a positive number because the decimal point is shifted to the left, and it will have a value of: in the value of area: n=5 and in the value of length: n= 3.So, the rectangular piece of land with an area of 2.6×10⁵ m² is 2×10³ m long.
Width of the rectangular pieceIn this case, you know that a rectangular piece has:
an area of 2.6×10⁵ m².a length of 2×10³ m.Replacing in the definition of a rectangle:
2.6×10⁵ m²= width× 2×10³ m
2.6×10⁵ m²÷ 2×10³ m= width
To divide two numbers in scientific notation, you must divide the numbers that are not powers of 10 (what was previously called the "a" number). To divide the powers of ten, you must subtract the exponents. In this case:
Width= (2.6÷ 2)×10⁵⁻³ m
Width= 1.3×10² m
Finally, the width of the rectangular piece is 1.3×10² m.
SummaryIn summary, you obtain:
the rectangular piece of land with an area of 2.6×10⁵ m² is 2×10³ m long.the width of the rectangular piece is 1.3×10² m.Learn more about
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On vacation you and your family go from Charleston to New Orleans you leave at 7:00 am and arrive at 4:00 pm and the trip’s distance is 850 miles
The average velocity of you and your family go from Charleston to New Orleans is (Vₐ)= 152.92 km/h
What is velocity?The term velocity explains that the object or particle displacement within the respected time. Average velocity is total displacement divided by total time.
How can we calculate the value of average velocity?To calculate the value of average velocity we are using the formula here is,
Vₐ = (s₁+s₂)/(t₁+t₂)= sₐ/tₐ
Here we are known,
t₁= You and your family leave to go from Charleston to New Orleans = 7:00 am.
t₂=You and your family reached to go from Charleston to New Orleans = 4.00 pm.
tₐ=Time interval between the leaving and reaching time=9 hour.
sₐ= The trip’s distance to go from Charleston to New Orleans= 850 miles
Now we put the values in the above equation we get,
Vₐ =sₐ/tₐ
Or, Vₐ =850 miles/9 hour
Or, Vₐ =94.4 miles/hour.
Or, Vₐ = 152.92 km/hour.
According to the calculation we can write that,
The average velocity of you and your family go from Charleston to New Orleans is (Vₐ)= 152.92 km/h
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On vacation you and your family go from Charleston to New Orleans you leave at 7:00 am and arrive at 4:00 pm and the trip’s distance is 850 miles. what is the average velocity of the trip?
What is the maginitude of the average velocity of the particle between t = 1.0 s and t = 4.0 s
The correct answer for the maginitude of the average velocity of the particle between t = 1.0 s and t = 4.0 s is 0.67 m/s .
The average velocity concept was used to solve this problem.First, use the figure to calculate the distance and time required.The average velocity is then calculated using the time interval and total displacement. Average velocity is a measure of displacement over time. This is also known as the average rate of change in position over time.
The average velocity is as follows:
The velocity is denoted by v = (v 2-v 1) / (t 2- t 1)
t 1 = 4 sec
t 2 = 1 sec
t2 - t1 = 4 seconds - 1 second = 3 seconds
x1 = 2 m
x 2 = 0 m
x 2- x1 = 2 m
The velocity formula is v = (x 2- x1) / (t2- t 1)
the answer = 0.67 m/s
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As shown in the figure below, a seal and shark are playing a fun game of tag. The seal swims
leftward 10 m then dodges rightwards another 20 m. The seal swims a total time of 6
20m
10m
What is the seal's average velocity during the chase?
What is the seal's average speed during the chase?
The seal's average velocity during the chase is 1.67 m/s.
The seal's average speed during the chase is 5 m/s.
What is average velocity?
The average velocity of an object is the change in the displacement of the object with time.
The seal's average velocity during the chase is calculated as follows;
Δx = xf - xi
Δx = 20 m - 10 m = 10 m
v = Δx/t
v = 10 m / 6 s
v = 1.67 m/s
Average speed of the sealThe average speed is the ratio of total distance to total time of motion.
v = (10 m + 20 m) / 6 s
v = 30 m / 6s
v = 5 m/s
Thus, the seal's average velocity during the chase is 1.67 m/s.
The seal's average speed during the chase is 5 m/s.
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As shown in the figure below, a seal and shark are playing a fun game of tag. The seal swims leftward 10 m then dodges rightwards another 20 m. The seal swims a total time of 6 s.
Answer:
What is the seal's average velocity during the chase?
Answer: 1.67 m/s
What is the seal's average speed during the chase?
Answer: 5 m/s
The potential at points a and b are: va = -2 v and vb = 6 v. when a 5 c charge is moved from a to b, the change in potential energy of this system is answer j.
The change in potential energy of this system is = 40 J.
What is the potential difference?The potential difference, often known as voltage, is equal to the amount of current times the resistance. One Joule, or one Volt, of energy is required for one Coulomb of charge to flow from one place in a circuit to another.
What is the formula for potential difference?V=Uq The change in potential energy of a charge q transported from point A to point B, divided by the charge, is what is used to determine the electric potential difference between points A and B, or VBVA. The joules per coulomb unit of potential difference is called the volt (V).
This system's potential energy changed by 40 J.
Energy = charge * potential difference
=> Energy = (8v)*5
=> Energy = 40 J
The change in potential energy of this system is = 40 J.
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How many ml of a 5.0 m solution of sodium borate must be added to a 200 ml solution of 50 mm boric acid in order for the ph to be 9.6? the pka of boric acid is 9.24.
4.6 ml of a 5.0 m solution of sodium borate must be added to a 200 ml solution of 50 mm boric acid in order for the ph to be 9.6. the pka of boric acid is 9.24.
More about BoraxBorax, also known as sodium hydrated borate, is an ionic molecule having the chemical formula Na2H20B4O17, also written as Na2B4O710H2O. It is a crystalline solid that has no color and dissolves in water to form a simple solution.
It is frequently sold in powder or granular form and has a wide range of industrial and domestic applications, including as a pesticide, metal soldering flux, ingredient in glass, enamel, and pottery glazes, tanning agent for skins and hides, artificially ageing agent for wood, pharmaceutic alkalizer, and pesticide.
It serves as a buffer in laboratories that work with chemicals.
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Describe one way to decide whether a sample of matter is a substance or a mixture
One way to decide whether a sample of matter is a substance or a mixture is by either finding its boiling (liquid) or melting (solid) point.
A substance has a constant boiling/melting point whereas a mixture has different boiling/melting points.
A substance is an element or a compound that cannot be separated using physical or chemical properties. A mixture is made up of two or more compounds which can be separated using physical or chemical properties.
Therefore the easiest way to decide whether a sample of matter is a substance or a mixture is by either finding its boiling (liquid) or melting (solid) point. If after multiple test the result is same it is a substance and if it is different it is a mixture.
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Controlled variables (constants) and a negative control group are easily confused by students. How would you explain the difference between these two words?
Answer:
A control variable is any factor you control or hold constant during an experiment and a negative control group is a control group that is not exposed to the experimental treatment or to any other treatment that is expected to have an effect
A red water balloon is thrown horizontally from the top of a bridge. At the same instant, a yellow water balloon is dropped off the bridge from the same height. Compare the time of fall for the two balloons. Assume air resistance is negligible.
The time of fall for the two balloons is equal.
Here the conditions given resembles a free fall. Since the air resistance is negligible, gravitational force is the only force acting on both the balloons which means the two balloons are falling in a vacuum. In a vacuum, if two objects of different mass are thrown from the same height, both objects will reach the ground at the same time.
Free fall is nothing but a condition in which an object falls solely under the influence of gravity.
Therefore, the time of fall for both yellow and red water balloons is equal no matter the weight where air resistance is negligible.
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Did helium created in fusion in the solar core reach the solar surface? explain.
The fusion of hydrogen nuclei in stars produced all of the helium in the Universe.
However, most stars undergo an internal transformation after turning a considerable percentage of their hydrogen to helium. The interior core compresses and warms up until it is hot enough to fuse helium into bigger atoms, for as by fusing three helium atoms into carbon. At the same time, some helium will combine with the carbon to generate oxygen. Outside the core, in what is known as the envelope, there is still enough hydrogen to fuse into additional helium. However, the center starts fusing heavier nuclei. This, by the way, is the transition from a 'regular' star like our Sun to a Red Giant.
After the red giant phase, the Sun will shed its outer layers, leaving behind a helium-rich core that will gradually cool throughout the course of the Universe. After the red giant phase with stars more massive than the Sun, it becomes practically a free for all for producing heavier and heavier atoms. When the helium in the core runs out, the star collapses again, heats up, and begins fusing carbon and oxygen into bigger atoms. If the star is large enough, this will continue until iron is fused. At such time, a hotter core will still not result in fusion. The star falls, becomes unstable, and explodes, resulting in supernovae and neutron stars (or black hole).
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what fives the identity of an atoms and its place on the periodic table
Answer:
atomic number
Explanation:
In the modern periodic table, the elements are listed in order of increasing atomic number. The atomic number is the number of protons in the nucleus of an atom. The number of protons define the identity of an element (i.e., an element with 6 protons is a carbon atom, no matter how many neutrons may be present).
*in the question you have written fives i think it has to be gives .*
please make my answer as brainelist
A bike accelerates from rest at 4 m/s/s. what is the velocity 3.5 s after the bike starts moving?
A decrease in one's ability to hear high-pitched, high frequency sounds is known as:_________
A decrease in one's ability to hear high-pitched, high frequency sounds is known as high-frequency hearing loss.
What is hearing?The term hearing has to do with the ability to pick out sounds. It is the ability to comprehend the meaning of sounds which may be disconnected or coherent.
Hearing occurs both at low and high frequency. The loss of hearing depends on what area of the ear that has been affected. Thus, if the inner ear of a person has been affected, there is a decrease in one's ability to hear high-pitched, high frequency sounds which is known as high-frequency hearing loss.
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In traditional mass media, __________ is the paid media space that sponsors use to persuade audiences
In traditional mass media, advertising is the paid media space that sponsors use to persuade audiences
Advertising is a form of communication aimed at publicizing a product or service in order to influence the public to purchase or use it.
This type of communication is paid and promoted by companies and media with a commercial purpose.
For example, a company specializing in designing and implementing ads for other company's products is an advertising company.
There are four types of advertising:
DisplayVideoMobileNativeWhat is communication?the communication is a process through which information is transmitted through the use of oral or written language.
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Answer:
Use the table below to answer questions 5-6.
Answer:
its also difficult for me.
The constellation hercules, named after an ancient greek mythical hero. Page from a 1430 copy of the book of fixed stars, an astronomy book written by a tenth-century muslim scientist
An artwork from The Book of Fixed Stars is seen in the figure.
A man is depicted in the drawing holding a sickle with his left hand and extending his right arm forth. The person is hunched over on his left knee, and above him is inscribed in Arabic calligraphy. There are dots all throughout the artwork with Arabic text that identify specific stars and their brightness as observed by Muslim astronomers.
The monarch of the Turkic Timurid dynasty, which ruled over a large portion of Central Asia in the fifteenth century, received this copy of The Book of Fixed Stars. Individual stars are represented by the dots spread throughout the picture, and the symbols next to the dots denote the stars' varying luminosities, as observed by Muslim astronomers.
The greatest evidence that intellectual activities in the Muslim world persisted in the era between 1200 and 1450, despite the dissolution of the Abbasid Caliphate, is the sponsorship of scholarship by Turkic dynasties, such as the Timurids.
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Find the mass of body which is accelerated by applying a force of 200n,that speed up it to 36 ms^-2
The mass of body which is accelerated by applying a force of 200n,that speed up it to 36 m/s^2 is 5.5 grams.
Given that,
Applied Force = 200n
Acceleration = 36m/s^2
Let,
consider a mass of the object = m
Now,
Formula used:
Force = mass / acceleration
F = m / a
m = f / a
m = 200/ 36
m = 5.5 gm
Therefore,
Mass of the body will be 5.5 grams.
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