The period of the planet is obtained as 3.5 years .
What is the period?We know that we can be able to obtain the period of the planet by the use of the Kepler's law. By the use of the Kepler law, we can see that the square of the period of the planet is equal to the cube of the length of the semi major axis.
We can now write;
T^2 = r^3
Now we have the semi-major axis length as 2.3 au.
We would now have to substitute the values and then obtain the period of the planet from the equation as;
T = r^3/2
T = (2.3)^3/2
T = 3.5 years
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what is the approximate mean distance and width of the cmz for a star with a mass of 8 solar masses?
Approximation of the mean distance is 80.A close proximity; a close approach: a goal is being approached. to estimate Three miles was about how far it was.
What does "rough distance" mean?A close proximity; a close approach: a goal is being approached. to estimate Three miles was about how far it was.Accurate or about so: although not precisely, close in value or quantity. an approximation of the answer. near together, with an approximate date.Assume that your thumb appeared to have jumped a certain distance. For instance, if it appeared to jump 8 times the distance of a structure that You estimate to be 100 feet long, it would have traveled a distance of 800 feet. Once you have the approximation of the distance you need, multiply the jump's number by 10. Approximation of the distance = 8*10 = 80.To learn more about Mean distance refer to:
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. what articulatory adjustment could move the second peak of the filter from its current location near the 20th harmonic to a region near the 10th harmonic
Articulatory adjustment could move the second peak of the filter from its current location near the 20th harmonic to a region near the 10th harmonic.
What is articulatory adjustment?
Articulator setting is a modern term for the components of a speaker's voice quality that result from habitual muscle adaptations (eg, the tendency to stick the tongue low in the mouth). However, the general concept of setting as the long-term trend underlying present articulatory and hyper articulatory phonetic articulations has been the subject of debate in phonetic writings since the mid-17th century.
What is Harmonic motion?
In mechanics and physics, simple harmonic motion (sometimes abbreviated SHM) is a special type resulting from dynamic equilibrium between inertial and restoring forces proportional to the acceleration of a body from its static equilibrium position. is the periodic motion of the object This force is directly proportional to the magnitude of the object's displacement and acts on the object's equilibrium position. This creates an oscillation that is represented by a sinusoid and continues indefinitely unless checked by friction or other energy losses.
Articulatory adjustment could move the second peak of the filter from its current location near the 20th harmonic to a region near the 10th harmonic.
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Which types of decay will cause the mass number a of a nucleus to change? select all that apply.
Nuclear decay is the type of decay that causes the mass number of a nucleus to change.
In the field of science, a mass number can be described as the number of neutrons as well as the number of protons in an atom.
Nuclear decay can be described as a process by which an unstable atom splits into two atoms in order to get stable. For such a process, the proton and neutron numbers in the nucleus will change. This is because the unstable element is splitting into a new stable element. Hence, we can say that nuclear decay is a process in which the mass number of an atom is subjected to change.
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12. Making Connections to Lightbulbs: Work is the transfer of energy. Power is the rate at which work is
done or the rate at which energy is expended. A 60W light bulb expends 60 J of energy per second. If
your power output could be harnessed and converted into electricity, could you produce enough power
to light a 60W bulb? How many?
A 60W light bulb expends 60 J of energy per second. If your power output could be harnessed and converted into electricity, we can produce enough power to light a 60 W bulb only one.
What is energy?Energy is the ability or capability to do tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form.
Power is energy per unit time so amount of time is 1 sec for light bulb glow for with 60 W power expand 60 joule of energy.
A 60 W light bulb expends 60 J of energy per second. If your power output could be harnessed and converted into electricity, we can produce enough power to light a 60 W bulb only one.
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Does the active site catalyze the reaction?.
The active site of an enzyme catalyzes the reaction.
The active site is the region of an enzyme where substrate molecules bind and undergo a chemical response. the energetic site includes amino acid residues that form temporary bonds with the substrate (binding site) and residues that catalyze a response of that substrate (catalytic site). the active site is the part of an enzyme to which substrates bind and where a reaction is catalyzed.
The catalytic site happens subsequent to the binding site, wearing out the catalysis. It is composed of around two to four amino acids, involved in catalysis. The amino acids that form the active site are located in wonderful elements of the amino acid sequence of the enzyme.
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Listed following are various physical situations that describe how light interacts with matter. Match these to the appropriate category.
TRANSMISSION:
-visible light meets clear glass
-cell phone signals pass through walls
A signal in signal processing is a function that communicates knowledge about a phenomenon. Any variable that is subject to variation in both space and time can be utilized as a signal to communicate between observers. The IEEE Transactions on Signal Processing lists sonar, radar, audio, video, and speech as examples of signals. Any visible change in a quantity over time or space (a time series), even if it does not convey information, can be referred to as a signal.
In nature, signals can be activities taken by one organism to notify other species. These actions can range from plants releasing chemicals to warn other plants of a nearby predator to animals making sounds or gestures to inform other animals of food.
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A two-stage rocket is traveling at 1210m/s with respect to the earth when the first stage runs out of fuel. Explosive bolts release the first stage and push it backward with a speed of 40m/s relative to the second stage after the explosion. The first stage is three times as massive as the second. What is the speed of the second stage after the separation???
(2). The air-track carts in the figure(Figure 1) are sliding to the right at 1.0 m/s. The spring between them has a spring constant of 140 N/m and is compressed 4.4 cm. The carts slide past a flame that burns through the string holding them together..What is the speed of 100-g cart?What is the speed of 300-g cart?
Expert Answer Let the second stage has mass M The total mass o…
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The first stage is three times as massive as the second.The speed of the second stage after the separation is 3495m/s
Given that,
Two stage rocket traveling at
V = 1210 m/s first stage on earth
When the fuel runs out, explosive bolts detonate and accelerate the rocket backward at a speed of V1 = 40 m/s in relation to the second stage.
Consequently, V1 = 40 - V2.
The first stage is three times more substantial than the second stage.
Allow the second-stage mass to be
M2 = M
Then, M1 = 3M
Velocity of second stage V2?
Applying conservation of linear momentum
Momentum before explosion = momentum after explosion
Momentum p=mv
Then
M1v1=M2v2
3M2×(1200m/s−35m/s)=M2
v23×(1165m/s)=v2
v2=3495m/s
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Are quotas good for producers?.
Yes, quotas are good for producers.
Quotas disrupt everyday commercial enterprise cycles and do not help innovation. even as it could seem like an awesome concept for producers to enact a production quota, it has lengthy-term bad results. customers will frequently try and locate alternative solutions.
In the end, quotas benefit and defend the producers of a very good in a home economy, although the purchasers end up paying extra if the regionally produced goods are priced better than imports.
Employers who impose quotas may turn out to be much less attractive to male job candidates. Quotas might also lead to low engagement and bad job attitudes amongst male personnel. moreover, this notion of unfairness may additionally purpose guys to become less supportive of variety rules than they were prior to implementing quotas.
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The tub is in the shape of a rectangular box that is 0. 5 foot wide, 4 feet long, and 3 feet deep. What is the rate of change of the depth of the water in the tub at time t=6 ?.
Based on the information given, the rate of change of the depth of the water in the tub at time t=6 will be 0.25029 ft/min.
What is the formula of water depth?The straightforward formula "d/2 = vt" is used to determine the depth "d" because the speed of sound in water is known.
The water in the tub has a surface area of 0.5 feet by 4 feet, it should be mentioned. As a result, when t=6, the rate of change of volume will be determined as follows:
V'(6) = F(6) -L(6) (6)
V'(6) = arctan(/2 -6/10) – 0.03(20(6)-62 – 75) = 0.77058 – 0.27000
V'(6) = 0.50058
As a result, the relationship between the rate of change in depth and volume may be seen in the formula V = Bh, where B is the prism's base area and h is the product of V/B h', V', and B h'(6).
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Radio stations can broadcast their signals over great distances. Which property enables a radio station signal to travel far from the source?.
Radio waves are more extensively utilized in communication than other electromagnetic waves, owing to their desirable propagation properties caused by their large wavelength.
What is radio station signal?The radio signal is a very fast electronic current moving back and forth. This field is radiated outward by a transmitter via an antenna; a receiver picks up the field and translates it to the sounds heard through the radio.
FM is an abbreviation for frequency modulation, which is a method of encoding an audio signal on the carrier frequency. The 88-108 MHz band is used by FM full power, low power, translator, and booster stations.
Radio waves can refract from the ionosphere at medium and shortwave frequencies (MF and HF bands).
This means that medium and short radio waves sent at an angle into the sky can be refracted back to Earth at great distances further than the horizon, even across continents.
Thus, this property enables a radio station signal to travel far from the source.
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The property that enables signal over great distance to travel from the source is radiation. Radiation is a mode of energy transfer through vacuum.
What is wave propagation?Wave are disturbance in air or the propagation of energy. Electromagnetic waves are waves with an electric field associated with a magnetic field. Electromagnetic waves does not need a medium to propagate.
Practical radio transmission systems employ a variety of propagation types. Radio waves that propagate along a straight path from the transmitting antenna to the receiving antenna are said to be line-of-sight radio waves.
Medium-distance radio transmission, including that used by cell phones, cordless phones, walkie-talkies, wireless networks, FM radio, television broadcasting, radar, and satellite communication, is carried out using line of sight transmission.
Line-of-sight transmission on Earth's surface is only possible up to the height of the transmitting and receiving antennas, which is determined by the distance to the visual horizon.
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What is the property of dark matter that caused it to influence formation of galaxies?.
Dark matter would be an invisible type of matter with a total weight in the cosmos approximately five times the one of "regular" matter.
Dark matter, unlike ordinary matter, doesn't really interact well with electromagnetic force. It can't absorb, reflect, or emit light, which makes it extremely difficult to detect. Indeed, astronomers have deduced the presence of dark matter solely from the gravitational influence it appears to exert on visible stuff.
Dark matter would be the Universe's most enigmatic, non-interacting component. Their gravitational effects were needed to explain the spinning of galaxies, cluster dynamics, and the Universe's greatest-scale structure.
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emily pulls upward on her briefcase to support it as she stands at the bus stop, waiting for the bus to arrive.
For zero work ,either force acts perpendicular to displacement so emily pulls upward on her briefcase to support it as she stands at the bus stop, waiting for the bus to arrive is Zero work.
When force and displacement are perpendicular to one another or when neither of them is present, the work performed is referred to as zero work. For instance, when we hold an object and walk, the force acts downward while the displacement acts forward. A straightforward illustration of zero work is when you stand still while holding a bag in your hands. In order to counteract the gravitational force acting on the bag, you exert a force with your hands, but since the bag is not moved, neither gravity nor your force have any effect. When we carry an object while walking, displacement always moves the object forward rather than downward.
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Bon E The figure below (from the textbook) analyzes a falling ball. The system has been defined as earth + ball. Why? System y Front E on B E on B Environment Environment O To allow for thermal energy O To simplify the calculation of work To use potential energy rather than work O To converse energy O To be able to include the bounce
Bon E The figure below (from the textbook) analyzes a falling ball. The system has been defined as earth + ball then System y Front E on B E on B Environment Environment O To allow for thermal energy.
The earth-ball device accommodates the earth and the ball. Forces inner to the device encompass the gravitational pressure among them, and collisions among them. In the absence of outside forces, the overall momentum of the this device is constant. Of course, this is tough to measure, for the reason that the earth is so massive.
However, the momentum of the earth-ball device is modified by, for instance, the gravitational enchantment to the solar that is an outside pressure.
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use the instantaneous center of zero velocity to determine the angular velocity !ab of link ab and the velocity vb of collar b for the instant depicted. assume the quantities !0 and r to be known.
When the mass is at its equilibrium position (which corresponds to x=0), the velocity of the mass will be maximum.
Instantaneous center:
It is the center about a body moves in planer motion. The velocity of Instantaneous center is zero and Instantaneous center can be lie out side or inside the body. About this center every particle of a body rotates.
From the diagram
Where these two lines will cut then it will the I-Center. Point A and B is moving perpendicular to the point I.
If we take three link link1,link2 and link3 then I center of these three link will be in one straight line It means that they will be co-linear.
Therefore, when the mass is at its equilibrium position (which corresponds to x=0), the velocity of the mass will be maximum.
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block a below weighs 1.90 n, and block b weighs 4.20 n. the coefficient of kinetic friction between all surfaces is 0.30. find the magnitude of the horizontal force necessary to drag block b to the left at constant speed if a and b are connected by a light, flexible cord passing around a fixed, frictionless pulley.
The magnitude of the horizontal force necessary to drag block b to the left at constant speed is 2.52 N.
Calculation:-
F - T -f₁ - f₂ = 0
⇒ F = -T + f₁ + f₂
f₂ = μk(ma + mb)g
f₁ = μkmag
T = μmag
F = μmag + μkmag + μk(ma+mb)g
F = 3 × 0.30 × 1.40 + 0.30 × 4.20 = 2.52 N
Force is a push or pulls upon an item because of the object's interaction with some other object. pressure is a power that can exchange the motion of an object. A force can reason an object with mass to alternate its speed, i.e., to boost up. pressure also can be described intuitively as a push or a pull. A force has each significance and course, making it a vector amount.
The phrase 'Force' has a unique meaning. At this degree, it is absolutely appropriate to describe a force as a push or a pull. A force is not something that an object consists of or 'has in it. A force is exerted on one object through another. The concept of a force isn't always restricted to living matters or non-living matters.
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How do you find the degree?.
The degree of a polynomial is found by finding the largest degree of given monomials.
A polynomial is formed by adding or subtracting monomials. In simple terms a monomial is an algebraic expression with a single term but can have multiple variables of different degrees.
A degree is the power value of a variable. In a expression, ax² + bx + c, a, b and c are constants and x is the variable. Here the entire expression is a polynomial that has a degree of 2 formed by adding three monomials. The monomial 1 is ax² that has a degree of 2. The monomial 2 is bx that has a degree of 1. The monomial 3 is c that has a degree of 0.
Therefore, the degree of a polynomial is found by finding the largest degree of given monomials.
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What are the causes of stagflation?.
On the factors causing stagflation, economists are divided. Two basic hypotheses, however, can be derived: supply shock and bad economic policy.
Although there are numerous hypotheses, it is generally agreed that stagflation happens when the money supply is increasing while supply is being limited. For instance, stagflation would happen if a government printed money, increasing the money supply and inflation, while also hiking taxes, slowing economic development.
Slow economic development and relatively high unemployment, sometimes known as economic stagnation, are the hallmarks of stagflation, which is also characterised by rising prices (i.e. inflation). Stagflation typically happens when supply is restricted while the money supply is growing.
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compare blue and orange light from the visible spectrum. you are currently in a labeling module. turn off browse mode or quick nav, tab to items, space or enter to pick up, tab to move, space or enter to drop. which has the longer wavelength? which has the greater frequency? which has the greater energy? answer bank
When blue and orange color are given, then : Blue color has shorter wavelength and more energy as compared to orange.
What is visible spectrum?Visible spectrum is that portion of electromagnetic spectrum that is visible to the human eye. Electromagnetic radiation in this range of wavelengths is called visible light and human eye responds to wavelengths from about 380 to about 750 nanometers
Visible light comes in all the colors of the rainbow where each color has its own special frequency and wavelength. When all the colors are together, they make "white" light that we see.
Blue light has shorter wavelength more energy whereas orange light has the longer wavelength and low energy.
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How is the behavior of food coloring in the cool and heated water different Brainly?.
The food colouring quickly diffuses (spreads out) into boiling water. The food colouring slowly diffuses (spreads out) through cold water.
What occurs when food colouring is added to cold water?The food colouring slowly diffuses (spreads out) through cold water. The food colouring diffuses more quickly because of the hot water. Particles travel more quickly at higher temperatures. As a result of the rapid movement, diffusion proceeds more quickly.
The colour will progressively permeate the water due to the molecules' random mobility. Diffusion will go more quickly with agitation.
The colour may fade more rapidly than you'd like when the water is excessively hot, which may also lead to dryness. The cuticles are also loosened by the heat.
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a microscope is made of an objective (0.700 mm) and an eyepiece. what is the object distance from the eyepiece
The object distance from the eyepiece will depend on the magnification of the microscope, which is the ratio of the focal length of the objective lens to the focal length of the eyepiece. For example, if the eyepiece has a focal length of 10 mm, the object distance would be 7 cm (0.700 mm x 10 mm = 7 cm).
What is microscope?
The ability to see objects which are too small to be seen by the nak ed eye requires the use of a laboratory instrument called a microscope. Microscopy is the study of tiny objects seen through a microscope. It's challenging to see something microscopic without a microscope. There are many different types of microscopes, and they can all be categorised in different ways. One way is to describe how an instrument works with a sample and produces images by either having to send an electron as well as light beam thru the sample inside its light system, detecting photoelectron emissions from the sample, or using probe to scan across the sample's surface for a brief period of time.
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The lowest tone to resonate in a pipe of length L that is closed at one end but open at the other end is 200 Hz. Which one of the following frequencies will not resonate in that pipe? A) 200 Hz B) 400 Hz C) 600 Hz D) 1000 Hz E) 1400 Hz
The frequency at which the pipe will not resonate is found to be option B that is 400 Hz.
How to calculate frequencies for one end closed tubes?A harmonic is a number that is an integer multiple of a pipe's fundamental or natural frequency. Open air columns will naturally resonate at particular frequencies when an antinode is present at one or both of the pipe's open ends (a closed end of the pipe has a node). The harmonic frequencies are calculated for an open-closed pipe using the following equation:
[tex]f = \frac{nv}{4L}[/tex]
where,
f = frequency
n = harmonic number
v = speed of sound
L = length of pipe in meters
We are given that fundamental frequency = 200 Hz and length = L, so on putting the values in above formula, we get:
200 = [tex]\frac{nv}{4L}[/tex] ( Here, n = 1)
Now, to calculate possible frequencies in the pipe, we need to calculate the other frequencies for pipe-
n = 1, 3, 5, 7...
Frequency of first over tone (n = 3)-
[tex]F1 = 3[/tex] × [tex]\frac{v}{4L}[/tex]
[tex]F1 =[/tex] 3 × 200
[tex]F1 =[/tex] 600 Hz
Frequency of second overtone (n = 5)-
[tex]F2 = 5[/tex] × [tex]\frac{v}{4L}[/tex]
[tex]F2 =[/tex] 5 × 200
[tex]F2 =[/tex] 1000 Hz
Frequency of third overtone (n = 7):
[tex]F3 = 7[/tex] × [tex]\frac{v}{4L}[/tex]
[tex]F3 =[/tex] 7 × 200
[tex]F3 =[/tex] 1400 Hz
Therefore, the frequencies which will resonate in the pipe are 200 Hz, 600 Hz, 1000 Hz, and 1400 Hz but the 400 Hz will not resonate.
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What is the distance of two objects the attraction?.
The attraction between two objects at a distance is the Gravitational force.
An attraction force that exists between all mass-bearing objects is the gravitational force. A massed object draws another massed object; The force's magnitude is inversely proportional to the square of the distance between the two objects and directly proportional to their masses.
Mathematically it can be written as
F = G × m₁m₂/d²
m₁ and m₂ are the masses of the objects in kilograms, and d is the distance between them in meters. G is the universal gravitational constant, which means that it is the same everywhere in the universe.
And G = 6.67 x 10⁻¹¹ N m² / kg²
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(Complete question)
What is the attraction between two objects at a distance?
A traffic accident occurred in a 35 km/hr speed limit zone on Millway Street in which a 3000-kg Cadillac Escalade SUV rear-ended a 2000-kg Subaru Outback Wagon that was stopped at a stop sign. Because the entire police investigative division has gone on vacation to Bora Bora to relax, the mayor has contracted my team of experts to determine what happened and what traffic laws were broken. Using the little bit of data we were supplied we were able to find out enough information to figure out if the driver of the 3000-kg Cadillac Escalade SUV was speeding.
Using our kinematics equations we used the formula Vf^2 = Vi^2 + 2ad to figure out the velocity of both the Wagon and the SUV. Using the skid marks we were able to determine the distance and we were given acceleration. On top of that we knew the final velocity had to be zero because the cars came to a complete stop. Using what we knew we solved for Vi and found that the SUV’s initial velocity was 2.8 m/s and the wagon’s initial velocity was 12 m/s. Since we found the velocity of both vehicles and the masses were given we were able to use the equation mv = p to calculate the momentum of both immediately following the collision. We found that the momentum of the SUV equaled a total of 8,400 kg*m/s and the wagon equaled 24,000 kg*m/s. Knowing that the momentum before the collision has to be equal to the momentum after the collision we were able to find the momentum of each vehicle immediately before the collision. We added up each cars momentum from after the collision and got a total of 32,400 kg*m/s but, because the wagon was sitting at a stop sign it had no momentum therefore the SUV had a momentum of 32,400 kg*m/s.
After finding the momentum of the cars before the collision we used the equation mv = p to calculate the speed/velocity before the cars collided. Using the given mass of 3000kg and the momentum of 32,400 kg*m/s we found the speed/velocity was 10.8 m/s for the SUV. The speed of the wagon had to be 0 because it was sitting still at the stop sign. Using what we know about conversions we were able to convert 10.8 m/s to km/hr finding out that the SUV was going 38.88 km/hr which was three km/hr over the speed limit. Therefore the SUV was indeed speeding.
70,000 kgm/s is the momentum in traffic accident occurred in a 35 km/hr speed limit zone on Millway Street in which a 3000-kg Cadillac Escalade SUV rear
mass= 2000 kg
velocity=35 km/h
momentum= mv
momentum=2000×35
momentum=70,000 kgm/s
The combination of a particle's mass and velocity produces momentum. Momentum is a vector quantity that has both magnitude and direction. According to Isaac Newton's second equation of motion, a particle's force is equal to its rate of change in momentum over time.
The momentum of any collection of particles is equal to the vector sum of their momenta. According to Newton's third law, which states that particles exert equal and opposite forces on one another, a change in one particle's momentum is precisely balanced by a change in the momentum of another particle.
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a baseball is thrown upward from a height of 2 meters with an initial velocity of 12 meters per second. determine its maximum height. (round your answer to two decimal places.)
Maximum hieght can be calculated by solving this equation:
h(t) = -4.9t² + 12t + 2
Formula:
h(t) = (1/2)at² + [tex]v_{0}[/tex]t + [tex]h_{o}[/tex]
where,
h(t) = height at time t
a = acceleration due to gravity = -9.8 m/s2
t = time
[tex]v_{0}}[/tex] = initial velocity = 12 m/s
[tex]h_{o}[/tex] = initial height = 2 m
hence,
∴ h(t) = (1/2)at² + [tex]v_{0}[/tex]t + [tex]h_{o}[/tex]
= h(t) = -4.9t² + 12t + 2
Take the derivative of h(t) with respect to t, set it to zero, and solve for t. It will get two answers. The positive ones are the ones you should use. This is when the ball reaches its maximum height. Substitute this t value into the h(t) equation to get the maximum height.
Therefore, Maximum height can be calculated by solving this equation:
h(t) = -4.9t² + 12t + 2
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what evidence led astronomers to conclude that the oort cloud is a spherical distribution of comets?
The finding that comets orbit the sun in a variety of directions.Cometary orbits are more circular due to gravitational interaction with neighboring stars and galactic tides.
Why do scientists think the Oort cloud is spherical?Cometary orbits are more circular due to gravitational interaction with neighboring stars and galactic tides.As a result, the outer Oort cloud's roughly spherical shape makes sense.It is constructed of planetesimals from the outer solar system that were sent into far-off orbits by collisions with the jovian planets.Both the direction and the plane of their orbit are unpredictable.Long-period comets are thought to originate from the Oort cloud based on calculations from their observed routes.A spherical envelope called the Oort cloud may stretch 30 trillion kilometers (or roughly 20 trillion miles) beyond our Sun. The comets that are currently part of the Oort cloud first formed close to the Jovian planets or close to Jupiter, Saturn, Uranus, and Neptune.To learn more about Oort cloud refer
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which of the following is a false statement about the methods? group of answer choices the time class has three constructors. time() is the default constructor. equals, lessthan, and tostring are all accessor methods. there are no static methods in this class. increment is a mutator method.
There are no static methods in this class is correct statement.
We are physically surrounded with friction. An object moving along a path is resisted by a force known as static friction. Lastly, use an easy example to comprehend it. Think about the activity we perform frequently called walking. We are constantly in contact with the floor while we work. Motion presses against the ground as we move it backward, and we then advance our feet.
One key concept to be aware of in order to minimize friction is the fact that it operates in the opposite direction from relative motion. This phenomena may be useful for reducing the speed of the action until it eventually comes to a stop.
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mary slides down a snow-covered hill on a large piece of cardboard and then slides across a frozen pond at a constant velocity of 2.40 m/s. after mary has reached the bottom of the hill and is sliding across the ice, sue runs after her at a velocity of 4.80 m/s and hops on the cardboard. how fast do the two of them slide across the ice together on the cardboard? mary's mass is 68.0 kg and sue's is 55.0 kg. ignore the mass of the cardboard and any friction between the cardboard and the snow and/or ice. (indicate the direction with the sign of your answer.)
Mary and Sue would cross with a speed of 3.288 m/s
Given: m1 = 69 kg for Mary's mass
Sue weighs 56 kilograms per square meter.
Mary's v1 velocity is 2.4 m/s.
Sue's v2 speed is 4.4 m/s.
The two people's joint speed is v.
We resolve this using the linear momentum conservation concept.
The equation is:
m1.v1 + m2.v2 = m1.v + m2.v
m1.v1 + m2.v2 = (m1 + m2) v
= [(m1.v1) + (m2.v2)] / (m1 + m2) \sv
= [(69 * 2.4) + (56 * 4.4)] / (69 + 56) v
= (164.6 + 246.4) / 125 \s
= 411 / 125 \s
v = 3.288 m/s
Mary and Sue will therefore slide across the ice at a pace of 3.288 meters per second.
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What is the retention factor for a dye that travels 60 mm if the solvent travels 80 mm?.
The retention factor for the dye is 0.75.
What is retention factor?Retention factors can be used to quantify the distance that each element in a mixture travels. The ratio of the spot's position above the origin to the solvent front's position above the origin is known as a material's retention factor. The following formula can be used to determine it:
Retention factor = distance travelled by the dye/ distance travelled by the solvent.
Given parameters:
distance travelled by the dye = 60 nm
distance travelled by the solvent = 40 nm.
So, the retention factor = 60 nm/80nm = 3/4 = 0.75.
Hence, retention factor for it is 0.75.
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Stoichiometric amounts of nitrogen gas and hydrogen gas react in a calorimeter to produce 5. 00 g of ammonia gas. The calorimeter temperature rises 0. 42°c. The calorimeter and water have a combined heat capacity of 32. 16 kj/k. Calculate the heat of formation of ammonia, δh°f, in kj/mol.
The heat of formation of ammonia is 46.02kJ/mol.
what is heat of formation?
Heat of formation, also known as enthalpy of formation or standard enthalpy of formation, is the amount of heat absorbed or evolved when one mole of a compound is produced from its constituent elements, with each material in its normal physical condition (gas, liquid, or solid). It is represented by ΔH°[tex]_{f}[/tex].
The given reaction occurs as follows:
[tex]0.5N_{2} + 1.5H_{2}[/tex] → [tex]NH_{3}[/tex]
The formula to calculate the moles of is as follows:
moles of [tex]NH_3[/tex] = [tex]\frac{given mass of NH_3}{molar mass of NH_3}[/tex]
The given mass of is 5 g.
The molar mass of is 17.03 g/mol.
Substitute these values in equation .
moles of [tex]NH_3[/tex] = [tex]5 / 17.03 = 0.2935mol[/tex]
the heat energy of reaction [tex]Q = c[/tex]Δt
Here,
Q is the amount of heat transferred.
c is the specific heat of the substance.
Δt is the change in temperature of substance.
Δt = 0.42 K.
c = 32.16 kJ/K.
Substitute these values in equation
[tex]Q = (32.16 kJ/K ) (0.42K)\\Q = 13.5072 kJ[/tex]
The heat of formation of ammonia is calculated as follows:
ΔH°[tex]_{f}[/tex] = [tex]\frac{13.5072kJ}{0.2935}[/tex]
ΔH°[tex]_{f}[/tex] = [tex]46.0211kJ/mol[/tex]
ΔH°[tex]_{f}[/tex] ≅ [tex]46.02kJ/mol[/tex]
The heat of formation of ammonia is 46.02kJ/mol.
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unpolarized light with intensity 330 w/m2 passes first through a polarizing filter with its axis vertical, then through a second polarizing filter. it emerges from the second filter with intensity 137 w/m2 . you may want to review (pages 897 - 898) .
The intensity of unpolarized light when it passes the first filter is 165 W/[tex]m^{2}[/tex] and the angle with which it falls is 24.32°.
The initial Intensity of the light is [tex]I_{0}[/tex]
The expression for the intensity of the unpolarized light after passing through the first filter is given by,
[tex]I = \frac{I_{0} }{2}[/tex]
So, the intensity of light after it passes through the first filter, we have
I = 330/2 = 165 W/[tex]m^{2}[/tex]
According to the Law of Malus,
[tex]I = I_{0} Cos^{2} \alpha[/tex]
Let the intensity that comes out of the second filter be I' and the intensity with which it falls is 165 W/[tex]m^{2}[/tex]
So, we have
[tex]I' = \frac{ I_{0}}{2} Cos^{2} \alpha\\[/tex]
[tex]Cos^{2}\alpha =\frac{2I' }{I_{0} }[/tex]
Putting [tex]I_{0}[/tex] = 330 W/[tex]m^{2}[/tex] and I' = 137 W/[tex]m^{2}[/tex]
we get, [tex]\alpha = 24.32[/tex]°
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