Answer:
action and reaction forces are described by 3rd netwons law of motion.
A kilogram is a measure of an object's
O Gravity
O Weight
O length
O Mass
Answer:(d) mass
Explanation: The kilogram is the standard mass unit that is used almost globally and is the SI unit of mass. The kilogram weighs 9.8 Newtons under normal conditions on the surface of the Earth, and Newton is the corresponding SI unit of force and weight.
El monoxido de carbono reacciona con el hidrogeno gaseoso para producir metanol (ch3oh) calcule el reactivo limite y el reactivo en exceso si la reaccion inicia con 2,0 g de cada reactivo calcule cuantos gramos de metanol se obtiene
Answer:
Se obtienen 2,27 gramos de metanol.
Explanation:
La reacción entre monóxido de carbono e hidrógeno para producir metanol es la siguiente:
CO + 2H₂ → CH₃OH
Para encontrar el reactivo limitante y el reactivo en exceso, debemos calcular el número de moles de CO y H₂:
\(\eta_{CO} = \frac{m}{M} \)
En donde:
m: es la masa
M: es el peso molecular
\(\eta_{CO} = \frac{m}{M_{CO}} = \frac{2,0 g}{28,01 g/mol} = 0,071 moles \)
\(\eta_{H_{2}} = \frac{2,0 g}{2,02 g/mol} = 0,99 moles \)
Dado que la relación estequiométrica entre CO y H₂ es 1:2, el número de moles de hidrógeno gaseoso que reaccionan con el monóxido de carbono es:
\( \eta_{H_{2}} = \frac{2}{1}*0,071 = 0,142 moles \)
Entonces, se necesitan 0,142 moles de H₂ para reaccionar con 0,071 moles de CO y debido a que se tienen más moles de H₂ (0,99 moles) entonces el reactivo limitante es CO y el reactivo en exceso es H₂.
Ahora podemos encontar la masa de metanol obtenida usando el reactivo limitante (CO) y sabiendo que la realcion estequiométrica entre CO y CH₃OH es 1:1.
\( \eta_{CH_{3}OH} = \eta_{CO} = 0,071 moles \)
\( m = 0,071 moles*32,04 g/mol = 2,27 g \)
Por lo tanto, se obtienen 2,27 gramos de metanol.
Espero que te sea de utilidad!
Infrequent urination, dry skin, and dizziness are all symptoms of
Answer:
Dehydration
Explanation:
a ball with mr2/5 is released from rest at the top of an incline of height, h at an angle, . there is no friction between the ball and the surface of the incline. what is the velocity of the ball at the bottom of the incline?
The acceleration of the ball as it slides down the incline is (5/2)g sin θ. Correct answer is d.
The potential energy of the ball at the top of the incline is converted to kinetic energy at the bottom of the incline. Therefore, we can equate the potential energy at the top to the kinetic energy at the bottom:
mgh = (1/2)mv²
where m is the mass of the ball, g is the acceleration due to gravity, h is the height of the incline, and v is the velocity of the ball at the bottom of the incline.
We can rewrite the equation as:
v² = 2gh
The moment of inertia of the ball is (2/5)MR², where M is the mass of the ball and R is the radius of the ball. The torque acting on the ball as it rolls down the incline is due to the force of gravity acting on the center of mass of the ball. The moment of inertia and torque allow us to determine the angular acceleration of the ball.
τ = Iα
where τ is the torque, I is the moment of inertia, and α is the angular acceleration. The torque acting on the ball is given by:
τ = mgh sin θ
where θ is the angle of the incline.
Substituting the moment of inertia and torque into the equation for angular acceleration:
mgh sin θ = (2/5)MR² α
α = (5/2)g sin θ / R
The linear acceleration of the ball down the incline is equal to the product of the angular acceleration and the radius of the ball:
a = αR = (5/2)g sin θ
Therefore, the answer is (d).
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--The complete question is, A ball with (2/5)MR^2 is released from rest at the top of an incline of height, h at an angle θ. There is no friction between the ball and the surface of the incline. What is the acceleration of the ball as it slides down the incline?
a. g/2
b. g sinθ
c. 2g cos θ
d. (5/2)g sin θ
e. 0--
Calculate the kinetic energy of a 4 kg object moving at 10 m/s.
Answer:
1/2 * 10 kg) * 5 m/s2. or 125 Joules
Explanation:
What happens when the gravity of a massive star's collapsing core is able to overcome neutron degeneracy pressure
when the gravity of a massive star's collapsing core is able to overcome neutron degeneracy pressure, then The core contracts and becomes black hole.
What is degeneracy pressure:
The degeneracy pressure found in the interior of a white dwarf or neutron star. The degeneracy pressure is greatly needed in the interior of these stars to counteract the pressure due to gravity.Some neutron stars may have a surface layer of highly degenerate matter that is compressed to great density, but still has some protons
Unlike the main body of the neutron star which is Neutronium, matter compressed until it is all neutrons, packed together. Essentially a huge atomic nucleus.
The star cools and all remaining matter is bound by gravitation into a neutron star.
This object is composed primarily of degenerate neutron matter, this star will collapse into a black hole because gravity will overcome the neutron degeneracy pressure.
hence, when the gravity of a massive star's collapsing core is able to overcome neutron degeneracy pressure, The core contracts and becomes a black hole.
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PLS HELP WILL GIVE BRAINLIEST PLSSSS The equation for the reaction is: Mg(s) magnesium + 2 HCl(aq) hydrochloric acid MgCl2(aq) magnesium chloride + H2(g) hydrogen The student investigated how the rate of this reaction changed when the concentration of hydrochloric acid was changed. Write a plan the student could use. In your plan you should: • describe how you would carry out the investigation and make it a fair test • describe the measurements you would make.
Answer:
50 cm3 of 1M hydrochloric acid is a six-fold excess of acid. In this reaction, the magnesium and acid are gradually used up. However the acid is in excess, so it is mainly the loss of magnesium (surface area becomes smaller) that causes the change in the rate.
Explanation:
The equation for the reaction is: magnesium + hydrochloric acid → magnesium chloride + hydrogen
Mg(s) + 2HCl(aq) → MgCl2(aq) + H2(g)
Students follow the rate of reaction between magnesium and the acid, by measuring the amount of gas produced at 10 second intervals.
3 cm of magnesium ribbon typically has a mass of 0.04 g and yields 40 cm3 of hydrogen when reacted with excess acid. 50 cm3 of 1M hydrochloric acid is a six-fold excess of acid.
In this reaction, the magnesium and acid are gradually used up. However the acid is in excess, so it is mainly the loss of magnesium (surface area becomes smaller) that causes the change in the rate.
If a graph of volume (y-axis) against time (x-axis) is drawn, the slope of the graph is steepest at the beginning. This shows that the reaction is fastest at the start. As the magnesium is used up, the rate falls. This can be seen on the graph, as the slope becomes less steep and then levels out when the reaction has stopped (when no more gas is produced).
The reaction is exothermic, but the dilute acid is in excess and the rise in temperature is only of the order of 3.5˚C. There is some acceleration of the reaction rate due to the rise in temperature. Some students might notice the flask becoming slightly warm and they could be asked how this would affect the rate of reaction, and how they might adapt the experiment to make it a ‘fair test’.
Additional information
This is a resource from the Practical Chemistry project, developed by the Nuffield Foundation and the Royal Society of Chemistry. This collection of over 200 practical activities demonstrates a wide range of chemical concepts and processes. Each activity contains comprehensive information for teachers and technicians, including full technical notes and step-by-step procedures. Practical Chemistry activities accompany Practical Physics and Practical Biology.
To solve this we must be knowing each and every concept related to Le Chatelier′s Principle. Therefore, when concentration of hydrochloric acid was changed. the concentration of product will also change.
What is Le Chatelier′s Principle?When a stress is given to a chemical system in equilibrium, the equilibrium shifts to alleviate the tension, according to Le Chatelier′s Principle. In other words, it can anticipate the outcome of a chemical reaction with response to changes in temperature, concentration, quantity, or pressure.
While Le Chatelier's concept can be used to anticipate the reaction to a change from equilibrium, it doesn't explain why the system behaves as it does (at the molecular level).
Mg(s) + 2 HCl(aq) \(\rightarrow\) MgCl\(_2\)(aq) + H\(_2\)(g)
According to Le Chatelier′s Principle, when concentration of hydrochloric acid was changed. the concentration of product will also change.
Therefore, when concentration of hydrochloric acid was changed. the concentration of product will also change.
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A supply plane needs to drop a package of food to scientists working on a glacier in Greenland. The plane flies 130 m above the glacier at a speed of 160 m/s. How far short of the target should it drop the package?
The plane flies at speed of 160m/s should drop the package when it reaches at a distance of 824m.
How does Newton's second law relate to gravity?A dropped object travels quickly in the direction of the earth's center. Newton's second law states that the net force applied on an object determines its acceleration. If air resistance is small, the gravitational force, which is also known as an object's weight (w), acts as the net force on any falling object.
What other name does gravity's acceleration go by?Free-fall acceleration seems to be another name for gravitational acceleration. Gravitational fields established by masses pull other masses approach them.
\(h = ut + 1/2 gt^2 ; u=0130 = 1/2 \times 9.8 \times t^2t= 5.15sec\)
The packet travel with the time period of 5.15sec
The distance = v x t
160m/s x 5.15s = 824m
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If Steve throws a football 40 m and it travels for 3 seconds, what was the balls velocity?
Answer:
13.4 m/s^2
Explanation:
40 divided by 3 equals 13.3 repeating.
Sinuosoids on the plane have four basic features: amplitude, period, phase shift (sometimes called horizontal shift), and vertical shift (sometimes represented by the equation of the sinusoid's midline). Below is the graph of a particular sinusoid which is the graph of the function f(x). (Cilick on a graph to eniarge it) Using the graph, determine the amplitude, period, phase shift and midline for the above f(x).. Note, phase shift is sometimes called horizontal shift. Also, the midline should be written as an equation not just a numerical value. Amplitude Period Phase shift Midline Using the trig function sin(x), find an equation for the graph of f(x).. For example, y=5sin(6x−7)+22.
The amplitude of the function is 5/2Period. The phase shift is Phase shift is π/2Midline and the midline of the given function f(x) is Midline = 2Using the trig function sin(x), the equation for the graph of f(x) can be written as:f(x) = (5/2) sin (x - π/2) + 2
The amplitude, period, phase shift and midline of the given function f(x) is given below:
The given sinusoidal function oscillates between -5 and 5, which is a distance of 5 from the center line.
The amplitude is half of the distance between the minimum and maximum values, which is 5/2.
Hence the amplitude of the function is = 5/2Period:
The distance between the peaks on the graph of the given sinusoidal function is 4.
Hence the period of the function is Period = 4Phase shift:
The standard position of the graph of sin(x) is y = sin(x) where the graph passes through the origin (0,0).
The given function is also sin(x) shifted to the right by π/2 units.
Hence the phase shift is Phase shift = π/2Midline:
The midline is the average value of the function. For the sine function, the midline is y = 0.
The midline of the given function f(x) is Midline = 2Using the trig function sin(x), the equation for the graph of f(x) can be written as :f(x) = (5/2) sin (x - π/2) + 2
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State four factors that are affected by different substances interacting with different EM waves.
The four factors that can be affected by different substances interacting with different EM waves are absorption, reflection, transmission, and emission.
What are the four factors that affecting EM Waves?The four factors that can be affected by different substances interacting with different EM waves are;
Absorption: When a substance interacts with an EM wave, it can absorb some or all of the energy of the wave.
Reflection: Instead of being absorbed, some EM waves can bounce off a substance and reflect back.
Transmission: When EM waves pass through a substance, they can be affected by the properties of the substance.
Emission: Some substances can emit EM waves of their own when they interact with other waves.
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Playing shortstop, you pick up a ground ball and throw it to second base. The ball is thrown horizontally with a speed of 13 m/s directly toward point A. When the ball reaches the second baseman 0,44 s later, it is caught at point B. How far were you from the second baseman? What is the distance of the vertical drop, the distance between point A and point B.
You were approximately 5.72 meters away from the second baseman. The vertical drop or distance between point A and point B was approximately 0.4576 meters.
To determine the distance between you (the shortstop) and the second baseman, we can use the formula for horizontal distance (d) traveled by an object moving at a constant horizontal velocity:
d = v * t
where:
- d is the horizontal distance traveled,
- v is the horizontal velocity of the ball,
- t is the time taken.
Given that the horizontal velocity (v) is 13 m/s and the time (t) is 0.44 s, we can calculate the horizontal distance (d) as follows:
d = 13 m/s * 0.44 s = 5.72 meters
So, you were approximately 5.72 meters away from the second baseman.
To find the vertical drop or the distance between point A and point B, we need to calculate the vertical component of the ball's motion. Since the ball is thrown horizontally, it will experience a constant vertical acceleration due to gravity.
The formula to calculate the distance (d) traveled vertically in free fall is:
d = 1/2 * g * t²
where:
- d is the vertical distance traveled,
- g is the acceleration due to gravity (approximately 9.8 m/s²),
- t is the time taken.
Given that the time (t) is 0.44 s, we can calculate the vertical distance (d) as follows:
d = 1/2 * 9.8 m/s² * (0.44 s)² = 0.4576 meters
So, the vertical drop or the distance between point A and point B is approximately 0.4576 meters.
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A piece of wood is has a density of 0. 600 g/cm^3. When dipped in water, what fraction of the wood is submerged inside water?
The fraction of the wood submerged in water is 0.600 or 60%.
The principle of buoyancy, also known as Archimedes' principle, states that when an object is submerged in a fluid (liquid or gas), it experiences an upward buoyant force equal to the weight of the fluid it displaces.
In other words, an object immersed in a fluid will experience an upward force that is equal to the weight of the fluid it "pushes aside" or displaces.
This buoyant force acts in the opposite direction to gravity and is responsible for the apparent loss of weight experienced by an object when submerged in a fluid. If the buoyant force is greater than the weight of the object, the object will float. If the buoyant force is less than the weight of the object, it will sink.
The magnitude of the buoyant force can be calculated using the formula:
Buoyant force = Density of fluid × Volume of displaced fluid × Acceleration due to gravity
This principle explains various phenomena, such as why objects feel lighter when submerged in water, why some objects float while others sink, and why ships and boats can float despite their large masses.
To determine the fraction of the wood submerged in water, we can use the principle of buoyancy. The fraction submerged can be calculated by comparing the density of the wood to the density of water.
The density of water is approximately 1 g/cm³. If the density of the wood is 0.600 g/cm³, we can compare these values to find the fraction submerged.
The fraction submerged can be calculated using the formula:
Fraction submerged = (Density of wood) / (Density of water)
Fraction submerged = 0.600 g/cm³ / 1 g/cm³
Fraction submerged = 0.600
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what magnetically happens when there is an electric current in a wire?
Answer:
you change the direction of the magnetic field.
Explanation:
Because the magnetic field created by the electric current in the wire is changing directions around the wire, it will repel both poles of the magnet by bending away from the wire.
how do atoms lose electrons ?
Answer:
Explanation:
By being close to an atom that will gladly take the electrons being offered.
Suppose you are talking about Be. It is in the second column. It has two outer electrons that can be given away. It will not give away one of the two remaining electrons because they are too close to the + nucleus.
Along comes a Fluorine atom. It has 7 electrons in its outer ring. The chemistry of the situation allows it to take on one of the two electrons Be is offering. It is all a matter of charges and attractions.
Another Fluorine atom will take on the remaining electron from the Be. The outer ring cannot take on more than 1 electron, but that is enough
at what angle in degrees is the first-order maximum for 475-nm wavelength blue light falling on double slits separated by 0.0510 mm?
The angle at which the first-order maximum occurs for 475-nm wavelength blue light falling on double slits separated by 0.0510 mm is approximately 0.53 degrees.
The angle at which the first-order maximum occurs for double-slit interference can be found using the formula:
sinθ = mλ/d
where θ is the angle between the central maximum and the first-order maximum, m is the order of the maximum (m = 1 for the first-order maximum), λ is the wavelength of the light, and d is the distance between the two slits.
In this case, we have:
λ = 475 nm = \(4.75 \times 10^{-7}\) m
d = 0.0510 mm = \(5.10 \times 10^{-5}\) m
m = 1
Substituting these values into the formula above, we get:
sinθ = mλ/d
= \(\dfrac{(1)(4.75 \times 10^{-7} m)}{(5.10 \times 10^{-5} m)}\)
≈ 0.0093
To find the angle θ, we can take the inverse sine of both sides:
θ = \(sin^{-1}(0.0093)\) ≈ 0.53 degrees
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The most striking "cloudmark" in Jupiter's atmosphere is the Select one: O a Great Red Spot. b. Brown Dwarf. c. Black Hole d Cassini Division. e Great Dark Spot s age
The most striking "cloudmark" in Jupiter's atmosphere is the Great Red Spot. The Great Red Spot is the most striking "cloudmark" in Jupiter's atmosphere. It is a persistent high-pressure region in the planet's atmosphere, characterized by a long-lived anticyclonic storm.
The spot is located in the southern hemisphere of Jupiter and is about 22 degrees south of the planet's equator. It is so large that it could easily engulf the Earth. The storm has been observed for more than 300 years, and its exact cause is still unknown. The spot is thought to be associated with the planet's powerful jet streams, which are responsible for carrying clouds of ammonia and water vapor around the planet. While other cloudmarks have been observed on Jupiter, such as the Great Dark Spot, they are not as prominent or long-lasting as the Great Red Spot. Therefore, the most correct answer to this question is option (a) Great Red Spot.
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The most striking "Cloudmark" in Jupiter's atmosphere is option a. Great Red Spot.
This massive storm has been raging for centuries and is much larger than the size of the Earth. It is believed that the Great Red Spot is a high-pressure region, caused by the rotation of Jupiter's atmosphere. It is made up of various gases, including ammonia, methane, and water vapor.
The Great Red Spot was first observed by astronomers in the 1600s, and since then, it has become an iconic feature of Jupiter's atmosphere. Despite its name, the Great Red Spot has been known to change color and even shrink in size over the years. However, it remains a fascinating area of study for scientists who hope to learn more about the dynamics of Jupiter's atmosphere.
In addition to the Great Red Spot, Jupiter is also known for its many other cloud features, including the Great Dark Spot, which was observed by the Voyager 2 spacecraft in 1989. This storm was similar in size to the Great Red Spot but disappeared within a few years.
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A clamp on ammeter has both wires clamped onto a two wire 120 volt circuit that is drawing 5 amps. what will the ammeter read as the total amperage?
Answer:
See below
Explanation:
Question is a bit unclear as to how the ammeter is wired.
If the ammeter is clamped on the + and the - wires it will read infinite (essentially) current as the ammeter is a very low resistance circuit...a fuse inside will blow, or the ammeter will fry.
if it is clamped INLINE with the circuit it will read 5 amperes.
i) Show that total energy of the body at points A, B and C during the fall is same. ii) Find the distance from A to B and final velocity of the ball just reach before C. mass =5 kg, total height (h)= 100m
The total energy of the body at evevry point is remained same due to the law of conservation of energy. Distance from A to B and final velocity of the ball just reach before C is 44.3 m/s.
d (distance) from A to B is = √2gh
In this case given are, g = 9.8 m/s² and h = 100m,
so here d = √(2⋅9.8⋅100) = 44.3m.
Final velocity ,v = √2gh
Here given are , v is the velocity, g is the acceleration due to gravity, and h is the height. In this case,
g = 9.8 m/s² ,h = 100m,
v = √(2⋅9.8⋅100)
= 44.3 m/s (final velocity)
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when there is no wind, an airplane is flying 70 m/s with its nose pointed due north. a wind begins blowing toward the west with a constant speed relative to the ground of 18 m/s. what is the direction and speed of the plane relative to the ground?
The relative velocity of the plane with respect to the ground will be 72.57 at an angle of tan⁻¹(0.25) from the north.
The speed of the airplane when there is no wind is 70 m/s in the north direction.
The speed of the wind is 18m/s related to the ground in the direction of West.
As we know, that both west and north are perpendicular to each other, the resultant speed by the observer on the ground will be observed in the direction of the resultant of both the speeds.
Let us say that we is the resultant of both the speeds,
Because the two speeds are perpendicular to each other the resultant is given by,
R = √((70)²+(18)²)
R = 72.27m/s.
The angle with north,
Tan A = 18/70
Tan A = 0.25
So, the speed of the airplane from the ground will be observed as 72.27 degrees and at an angle of tan ⁻¹(0.25) from the north.
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Help me brainstorm for my Physics Project!!!! 100 points if completed!!!!!!
I can suggest three sports that could be interesting to explore the physics behind them:
Golf
Skateboarding
Snowboarding/Skiing
How to explain the sportsGolf: Golf is a sport that involves a lot of physics, such as the motion of the ball, the force applied to the club, and the aerodynamics of the ball. Exploring the physics behind golf can be fascinating.
Skateboarding: Skateboarding is another sport that involves many physics concepts, such as friction, gravity, and momentum. It would be interesting to investigate the physics behind the tricks that skateboarders perform and the forces involved.
Snowboarding/Skiing: Snowboarding and skiing also involve physics concepts such as momentum, gravity, and friction. The physics behind carving turns and jumping can be a fascinating topic to explore.
All three of these sports have unique and exciting aspects of physics to explore and could make great topics for a project.
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If Siobhan hits a 0.25 kg volleyball with 0.5 N of force, what is the acceleration of the ball?
m/s2
Answer:
2ms-2
Explanation:
F = ma
a = F/m
= 0.5 / 0.25
= 2ms-2
Answer 2m/s^2
Explanation:
mass=0.25kg
Force =0.5N
Acceleration=force/ mass
Acceleration=0.5/0.25
Acceleration=2
Acceleration =2m/s^2
Consider two monochromatic light beams, one red and one green. They have the same cross-sectional area and the same intensity. The energy of each photon is
The energy of each photon is determined by its frequency, with higher frequencies corresponding to higher energies.
The red beam has a longer wavelength and lower frequency than the green beam, which has a shorter wavelength and higher frequency. Since both beams have the same intensity, this means that the rate at which energy is being delivered by each beam is the same.
However, each photon in the green beam has more energy than each photon in the red beam, since the energy of a photon is proportional to its frequency.
The energy of a photon can be calculated using the formula:
E = hf
where E is the energy of the photon, h is Planck's constant, and f is the frequency of the photon.
Therefore, since the green beam has a higher frequency than the red beam, each photon in the green beam has more energy than each photon in the red beam.
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A gannet is a seabird that fishes by diving from a great height. You may want to review If a gannet hits the water at 32 m/s, what height did it dive from? Assume that the gannet was motionless before starting its dive. Express your answer to two significant figures and include the appropriate units. h =
After considering the given data the height from which the gannet dived is approximately 51.84 m.
To evaluate the height from which a gannet dived if it hits the water at 32 m/s, assuming that the gannet was motionless before starting its dive, we can apply the law of conservation of energy, which projects that the initial potential energy of the gannet is equivalent to its final kinetic energy prior to hitting the water. Then, we can write:
\(mgh = (1/2)mv^2\)
Here:
m = mass of the gannet
g = acceleration due to gravity
h = height from which the gannet dived
v = velocity of the gannet just before hitting the water
Considering that the mass of the gannet is 1 kg, and applying substitution of the given values, we get:
\((1 kg)(9.8 m/s^2)(h) = (1/2)(1 kg)(32 m/s)^2\)
\(h = (1/2)(32 m/s)^2 / (9.8 m/s^2)\)
h = 51.84 m
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The complete question is
A gannet is a seabird that fishes by diving from a great height. If a gannet hits the water at 32 m/s , what height did it dive from? Assume that the gannet was motionless before starting its dive.
Finding the work done in stretching or compressing a spring.
Hooke's Law for Springs.
According to Hooke's law the force required to compress or stretch a spring from an equilibrium position is given by F(x)=k, for some constant & The value of (measured in force units per unit length) depends on the physical characteristics of the spring. The constant & is called the spring constant and is always positive
Part 1.
Suppose that it takes a force of 20 N to compress a spring 0.8 m from the equilibrium
The force function, F(x), for the spring described is:
F(x) = 16.67x, where x is the displacement from the equilibrium position and F(x) is the force required to compress or stretch the spring.
To find the force function, F(x), for the spring described, we can use the given information and Hooke's law equation, F(x) = kx.
Given:
Force required to compress the spring = 20 N
Compression of the spring = 1.2 m
We can plug these values into the equation and solve for the spring constant, k.
20 N = k * 1.2 m
Dividing both sides of the equation by 1.2 m:
k = 20 N / 1.2 m
k = 16.67 N/m (rounded to two decimal places)
Therefore, the force function, F(x), for the spring described is:
F(x) = 16.67x, where x is the displacement from the equilibrium position and F(x) is the force required to compress or stretch the spring.
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The complete question is :-
According to Hooke's law, the force required to compress or stretch a spring from an equilibrium position is given by F(x)=kx, for some constant k. The value of k (measured in force units per unit length) depends on the physical characteristics of the spring. The constant k is called the spring constant and is always positive.
Part 1. Suppose that it takes a force of 20 N to compress a spring 1.2 m from the equilibrium position. Find the force function, Fx, for the spring described.
Which of the following are odd-electron species? Select all that apply.Multiple select question.a. ClOb. ClO2-c. N2Od. NO2
b. ClO2- and NO2 are odd-electron species because they have an odd number of valence electrons.
Odd-electron species are molecules or ions with an odd number of valence electrons.
To determine if a species is odd-electron, we need to count the total number of valence electrons and see if it is an odd number.
For example, ClO has 18 valence electrons which is an even number, so it is not an odd-electron species.
Here is the electron count for each option:
a. ClO: 7 + 6 + 1 = 14 valence electrons (even)
b. ClO2-: 7 + 6 + 6 + 1 = 20 valence electrons (odd)
c. N2O: 5 + 5 + 6 = 16 valence electrons (even)
d. NO2: 5 + 6 + 6 = 17 valence electrons (odd)
Therefore, the odd-electron species are ClO2- and NO2.
Summary: ClO2- and NO2 are odd-electron species because they have an odd number of valence electrons.
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A ball of mass 0.25 kg falls from a height of 50 m. Using energy
considerations, find the final velocity. Let g = 9.8 m/s
A . 2.97 m/s
B . 21.0 m/s
C . 33.3 m/s
D . 44.1 m/s
Therefore, the velocity of the ball just before it hits the ground is approximately 22.1 m/s. Therefore, the closest value to this option is 21.0 m/s.
When a ball of mass 0.25 kg falls from a height of 50 m, we can calculate its velocity using the principle of conservation of energy. According to this principle, the sum of the potential and kinetic energy of an object remains constant.
Therefore, we can equate the potential energy at the initial height to the kinetic energy at the final velocity.Let's calculate the potential energy of the ball at the initial height
:Eg = mghEg = 0.25 kg × 9.81 m/s² × 50 m
Eg = 122.625 J
This is the energy that the ball has due to its position. As it falls, this energy is transformed into kinetic energy. At the moment the ball reaches the ground, all the potential energy has been transformed into kinetic energy
.Ek = 1/2mv²Ek = Egv² = 2Ek/mv = √(2Ek/m)
Let's plug in the values we obtained:Eg = 122.625 Jm = 0.25 kgv = √(2Ek/m)
We obtain:v = √(2 × 122.625 J / 0.25 kg)v = √(245.25 J/kg)v = 22.116 m/s
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How do astronomers measure the mass that the galaxy contains inside the orbit of the sun?.
The degree mass of many different spiral galaxies close by after which takes a median. They add up all the observations at 21-cm wavelengths because the mass of hydrogen gas is some distance greater than the mass in all of the stars.
Astronomers have four simple techniques to degree the hundreds of galaxies and clusters: rotation curves, random velocities, X-ray emission, and gravitational lensing. Rotation curves: In astronomy, we often infer loads from orbits.
Because it's impossible to weigh a galaxy virtually by way of searching at it tons less when the observer occurs to be inner of it, as is the case with our Milky way researchers deduce a galaxy's mass by means of analyzing the motions of celestial gadgets as they dance across the host galaxy, led by using its gravitational pull.
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How to derive the formula for centripetal acceleration.
Because r is given, we can use the second expression in the equation ac=v2r;ac=rω2 a c = v 2 r ; a c = r ω 2 to calculate the centripetal acceleration. Solution.
A banked highway is designed for traffic moving at 94.0 km/h. The radius of the curve is 309 m. What is the angle of banking of the highway?
The angle of banking for the highway is approximately 13.2 degrees.
To find the angle of banking for a highway designed for traffic moving at 94.0 km/h with a curve radius of 309 m, you can follow these steps:
1. Convert the speed from km/h to m/s:
94.0 km/h * (1000 m/km) / (3600 s/h) = 26.11 m/s
2. Use the formula for the angle of banking (θ), which is:
tan(θ) = v^2 / (g * r)
where v is the speed (26.11 m/s), g is the acceleration due to gravity (approximately 9.81 m/s^2), and r is the radius of the curve (309 m).
3. Calculate the tangent of the angle:
tan(θ) = (26.11 m/s)^2 / (9.81 m/s^2 * 309 m) = 0.233
4. Find the angle by taking the inverse tangent (arctan) of the result:
θ = arctan(0.233) ≈ 13.2°
So, the angle of banking for the highway is approximately 13.2 degrees.
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