If the cart's speed is 0.5 m/s and the puck's speed is 0.45 m/s, what are the two relative velocities?


0.05 m/s and -0.05 m/s


0.95 m/s and -0.95 m/s


0.95 m/s and -0.05 m/s


0.05 m/s and 0.95 m/s

Answers

Answer 1

The cart's speed is 0.5 m/s and the puck's speed is 0.45 m/s is 0.05 and .95m/s

Given:

A=The cart's speed is 0.5 m/s

B=The puck's speed is 0.45 m/s

Relative velocity formula =

[tex]V_{AB}=V_{A}-V_{B}[/tex]

[tex]V_{AB}=.5-.45=.05\\[/tex]

[tex]V_{BA}=V_{B}-V_{A}[/tex]

=.5+.45=0.95

The velocity of an object in respect to another object is defined as relative velocity. It is a measure of how rapidly two items move in relation to each other. In physics, relative velocity is significant because it explains how objects move and interact with one another. Many different sorts of interactions can have their relative velocity quantified. The velocity of an object in respect to another object is defined as relative velocity. It is a measure of how rapidly two items move in relation to each other. In physics, relative velocity is significant because it explains how objects move and interact with one another.

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Related Questions

An elevator is being lifted up an elevator shaft at a constant speed by a steel cable. all frictional effects are negligible. in this situation, forces on the elevator are such that:_____.

Answers

A steel cable is moving an elevator up an elevator shaft at a consistent speed. The consequences of friction are all insignificant. In this case, the forces acting on the elevator are such that the cable's upward force is equal to the force of gravity pulling downward.

Second Law of Motion of Newton:Often referred to as Newton's Second Law of Motion, the Law of Force and Acceleration asserts that an object accelerates when it is subjected to a force using the formula net force = mass x acceleration (F = ma). Thus, the acceleration of the item is directly proportional to its force and inversely proportional to its mass. A body's momentum is determined by its mass and velocity together. Momentum is a vector quantity, just like velocity, having both a magnitude and a direction. The amount, direction, or both of the momentum can vary when a force is applied to a body.

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Consider a situation where you exert a force f on a crate of mass m, moving it at a speed v a distance d across a floor in a time interval t. the quantity 1/2 mv2 is:______

Answers

The quality (1/2) mv² will be the kinetic energy of the crate .

The kinetic energy of an object is define as , it is a form of energy that an object or a particle has by reason of its motion.

We are know that,

Force exerted on the crate = f

Mass of the crate = m

Speed of motion of the crate =v

Distance traveled by the crate across the floor = d

Time interval passed = t

The motion can be defined as , the change in position of an object with respect to its surroundings in a given interval of time.

Kinetic energy is directly proportional to the mass of the object and to the square of its velocity. If the exert a force f on a crate of mass m, moving it at a speed v a distance d across a floor in a time interval t.

K.E. = 1/2 m v²

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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?

Answers

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. assuming a perpetual inventory system and using the weighted average method, determine the weighted average unit cost after the october 22 purchase. round your answer to two decimal places.

Answers

Assuming a perpetual inventory system and using the weighted average method, the weighted average unit is determined as $11.44 after the October 22 purchase.

What is Weighted Average Cost (WAC)?

The Weighted Average Cost (WAC) method of inventory valuation in accounting uses a weighted average to establish the COGS and inventory levels.

The price of the products up for grabs is divided by the quantity of them in the weighted average cost technique.

The WAC technique is appropriate under both GAAP and IFRS accounting. Weighted Average Cost (WAC) Method Formula

Weighted Average Cost

Weighted Average Unit Costs = [360 units×$12 + (320-180) ×$10] / [360+(320-180)]units}

Weighted Average Unit Costs = $5720 / 500 units

Weighted Average Unit Costs = $11.44

Costs of goods that are offered for sale are calculated using beginning inventory value plus acquisitions.

Units available for sale are the number of units that can be sold by a company or the total number of units that are in its inventory.

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Determine the tension developed in the cable ab required to support the traffic light, which has a mass of 25 kg . take h = 3.5 m.

Answers

The tension developed in the cable is 245.25 N.

What is tension Force?

In physics, tension is defined as the pulling force transmitted axially by a string, cable, chain, or other similar object, or by either end of a rod, truss member, or other comparable three-dimensional object.

Tension can also be thought of as the action-reaction pair of forces acting at each end of the aforementioned elements. The polar opposite of compression might be tension.

Calculation

Only two forces act on the traffic light: the tension T of the cable (upward) and the weight of the traffic light (downward).

The weight is mg = 25 x 9.81 = 245.25 N

If the traffic light is at equilibrium, the resultant of the two forces must be equal to zero (Newton's second law):

T - mg = 0

Therefore, the tension of the cable is.

T = mg = 245.25 N

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A cylindrical tube 12.5 cm high and 1.5 cm in diameter is used to collect blood samples. how many cubic decimeters (dm3) of blood can it hold (v of a cylinder = r2h)?

Answers

0.176 cubic decimeters (dm3) of blood it can hold (v of a cylinder = r2h).

What is a cylindrical tube?

Round and hollow Cylinders i.e., when the general change in cross-sectional region is significantly less than the overall change in tension along the cylinder. At the end of the day, the cylinder region variety should be slower than the spatial variety of the actual wave. Round and hollow cylinders are generally utilized as transport compartments to safeguard interior items. The holders are expected to keep from imploding in any event, when they would tumble to the ground and be affected. In certain cases, the terms might be utilized conversely, but there is one vital contrast among cylinder and line, especially in how the material is requested and resilience. Tubing is utilized in underlying applications, so the external breadth turns into the significant aspect.

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Find the x-component of this
vector:

Answers

Answer:

4.978 m

Explanation:

[tex]\mathsf v_x[/tex] , the x-component of a vector is given by [tex]\boldsymbol v\cos\theta[/tex] where [tex]\theta[/tex] is the angle formed by the vector with the x-axis. The sign of the x-component depends on which quadrant the vector is

Here [tex]\theta = 77.1[/tex]°

[tex]\cost\theta = \cos(77.1) = 0.22325[/tex]

The vector has magnitude of 22.3 m

So the x-component = 22.3 x 0.22325 = 4.978 m

what would happen to the bulb if we had one cell and one light bulb in a series circuit

Answers

All bulbs in the circuit go out happen to the bulb if we had one cell and one light bulb in a series circuit.

A series circuit consists of a channel via each component where the entire current flows. In a parallel circuit, the branches divide the current so that only a portion of it passes through each branch.

A circuit is referred to as a series circuit when all of the devices are linked in series. Each component of a series circuit is connected in such a way that only one channel for charge to travel via the external circuit is possible.

"A circuit with the components arranged in a straight line, so that all the current goes through each component in turn," is the definition of a simple series circuit.

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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)

Answers

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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Three objects are set in motion, a 4.4 kg object at 1.6 m/s, a 3.0 kg object at 3.0 m/s, and a 1.6 kg object at 4.4 m/s. which object has the most kinetic energy?

Answers

The third object has the most kinetic energy (15.49 joule).

We need to know about kinetic energy to solve this problem. kinetic energy can be defined as the energy of moving object. It can be determined by

KE = 1/2 . m . v²

where KE is kinetic energy, m is mass and v is speed of object.

From the question above, we know that:

m1 = 4.4 kg

m2 = 3.0 kg

m3 = 1.6 kg

v1 = 1.6 m/s

v2 = 3.0 m/s

v3 = 4.4 m/s

Find the kinetic energy

KE1 = 1/2 . m1 . v1²

KE1 = 1/2 . 4.4 . 1.6²

KE1 = 5.632 joule

KE2 = 1/2 . m2 . v2²

KE2 = 1/2 . 3. 3²

KE2 = 13.5 joule

KE3 = 1/2 . m3 . v3²

KE3 = 1/2 . 1.6 . 4.4²

KE3 = 15.49 joule

Hence, the third object has the most kinetic energy (15.49 joule).

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the aurora is caused when electrons and protons, moving in the earth’s magnetic field of ≈5.0×10−5 t,≈5.0×10−5 t, collide with molecules of the atmosphere and cause them to glow. what is the radius of the circular orbit for

Answers

The radius of the circular orbit for an electron with a speed of 3 * [tex]10^{6}[/tex] m / s is 0.34 m

We know that,

[tex]F_{c}[/tex] = m [tex]V^{2}[/tex] / r

[tex]F_{m}[/tex] = q V B sin θ

where,

[tex]F_{c}[/tex] = Centripetal force

[tex]F_{m}[/tex] = Force due to magnetic field

m = Mass of electron

V = Speed of electron

r = Radius

B = Magnetic field

Given that,

B = 5 * [tex]10^{-5}[/tex] T

V = 3 * [tex]10^{6}[/tex] m / s

[tex]m_{e}[/tex] = 9.1 * [tex]10^{-31}[/tex] kg

[tex]q_{e}[/tex] = - 1.6 * [tex]10^{-19}[/tex] C

Since the electrons move in a plan perpendicular to the magnetic field,

Sin θ = Sin 90° = 1

By using force balance on electron,

[tex]F_{c}[/tex] = [tex]F_{m}[/tex]

m [tex]V^{2}[/tex] / r = [tex]q_{e}[/tex] V B

r = [tex]m_{e}[/tex] V / [tex]q_{e}[/tex] B

r = ( 9.1 * [tex]10^{-31}[/tex] * 3 * [tex]10^{6}[/tex] ) / ( - 1.6 * [tex]10^{-19}[/tex] * 5 * [tex]10^{-5}[/tex] )

r = 0.34

Centripetal force is the force on a body which makes it go in a curved path. It is denoted as [tex]F_{c}[/tex].

Therefore, the radius of the circular orbit for an electron with a speed of 3 * [tex]10^{6}[/tex] m / s is 0.34 m

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In the article, the study author recommends going on a "photo hunt." What was the purpose of this activity?

Answers

In a scavenger hunt, participants compete to collect the greatest number of objects from a predetermined list. As opposed to a scavenger hunt, a treasure hunt entails following a sequence of clues to locate a particular thing or objects.

A sheet containing a list of things will be supplied to each team or person. You have to locate every object and take a picture. Whoever has the most photos at the end of the timer wins. You must always remain as a team if you're participating in it. A spot-the-difference game is Photo Hunt. Players are presented with two identical photographs side by side at each stage, with just five distinctions between them.

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The driving force for heat transfer through physical contact between two objects is determined by:_______

Answers

The driving force for heat transfer through physical contact between two objects is determined by: The temperature gradient between the objects.

Briefing :Temperature gradient is what drives heat transfer. When it occurs between two things, this process is known as conduction. The rules of thermodynamics state that, without an external force, heat will move from high-temperature systems to low-temperature systems.Temperature is what drives heat transfer or the passage of heat. A state of higher temperature moves heat into a state of lower temperature. The potential difference or voltage between two terminals or electrodes is what generates electricity.For instance, the antifreeze that runs along the cylinder walls of your car's engine conducts heat from the engine by conduction. This stops your car's engine from overheating.

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In a certain digital waveform, the period is twice the pulse width. the duty cycle is?

Answers

A certain digital waveform has a period that is twice as wide as the pulse. the duty cycle is 50%.

Briefing:

The ratio of pulse width to pulse duration is known as the duty cycle.

In actuality, duty cycle equals pulse duration divided by total out-of-band time.

i.e.) = pulse duration/total time period  

So pulse width=on time + off time  

i.e.)total time period

Duty Cycle=(1/2)*100  

=50%.

What is digital waveform and its types?

All Binary Information in Digital Systems Appear. A Digital Waveform Carries Binary Information as waveforms that represent sequences of bits – Common strategy: HIGH is 1 and LOW is 0.

What does a digital waveform look like?

Digital signals typically have one of two values, such as 0V or 5V. These signals' timing graphs resemble square waves. The main distinction between analog and digital waves is that.

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Scalar is a _____ having _______ (amount)

Answers

Scalar is a physical quantity  having only magnitude. (amount)

scalar quantity : The physical quantity which are specified with the magnitude are known as scalar quantities.

For example :

length - 5m

speed - 10 m/s , 10km/h etc

Mass - 6kg , 20g etc

energy - 30 joule

density - 56kg/m³

It has no direction. It has only magnitude. Described by real numbers.

There is another quantity known as vector quantity.

vector quantity : The physical quantity which are specified by its magnitude and direction also.

For example, velocity, acceleration, force etc.

Scalar is a physical quantity  having only magnitude. (amount)

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At an advertising agency, a team is in charge of creating a new commercial. Team members are respectful and honest when discussing which ideas are promising and which ones probably will not work. Team members support one another and help one another. What quality is this team showing?

A.
confusion

B.
causation

C.
correlation

D.
cohesion

Answers

If the members of a team are respectful and are able to get along with each other while supporting the ideas of each other, this is known as cohesion.

What is cohesion in a team?

A team is composed of people that are working together to achieve a common goal. Thus the members of a team have one focus even though the methods that they apply at achieving the ends may differ tremendously.

Thus, if the members of a team are respectful and are able to get along with each other while supporting the ideas of each other, this is known as cohesion.

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Describe a situation in which you can accelerate even though your speed doesn’t change.

Answers

Uniform circular motion is an example of this question.

Uniform motion in a circular path defines a uniform circular motion.For a circular motion, the essential condition to be fulfilled is having a centripetal force directed towards the centre of the locus.If not that kind of motion defines a uniform linear motion.According to Newton's second law, when there is a net force there exists an acceleration in the direction of the net force.This acceleration in a circular motion is called the "centripetal acceleration".Since the motion is uniform, its speed remains constant having only the direction of the instantaneous speed changing.Therefore, in that type of motion, there is the situation of no speed change with acceleration.

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An astronaut of mass 70 kg weighs 700 n on earth's surface. his weight on the surface of mars, where the acceleration due to gravity is 3.7 m/s2, would be about?

Answers

The astronaut's weight on the surface of Mars is 259 N

To solve this exercise, the formula and procedure to be applied is:

W = m * g

Where:

W = weightm = massg = gravity

Information about the problem:

g= 3.7 m/s2m = 70 kgW=?1 N = kg * m/s²

Applying the weight formula, we get:

W = m * g

W = 70 kg * 3.7 m/s2

W = 259 N

What is gravity?

In physics, gravity is the force of attraction that the earth exerts on all bodies possessing mass by pulling them toward its center.

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Why does the periodic table work?

Answers

Answer:

The table lists the chemical elements in order of increasing atomic number, which is the number of protons in an atom of an element.

Explanation:

The periodic table is a graphical collection of element data. The table lists the chemical elements in order of increasing atomic number, which is the number of protons in an atom of an element. The rows (periods) and columns (groups) organize elements according to similar properties.

The atomic number, or the number of protons in an element's atom, is used in the table to organize the chemical elements.

How does the periodic table ?

The Gaussian Model in subatomic particles, which allows the known elementary particles to be arranged according to their inherent properties, can be compared to the periodic table. The table is significant because it is set up to offer a wealth of knowledge on elements and their interactions in a single reference. Even elements that have yet to be found can have their properties predicted using the table.

What is periodic table and its importance?

All known elements are grouped together in the periodic table of the elements into groupings with related properties. It becomes a crucial tool for chemists, nanotechnologists, as well as other scientists as a result. You can forecast how chemicals will react if we learn to use and comprehend the periodic table.

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The volume of a container is reported as 3.49 ft3. what is the volume in units of in3?

Answers

The volume in units of  in^3 is 6030.72 in^3.

The volume in units of 6.03x10^3 in3

1ft = 12 inch

So to convert foot into inches we have to multiply by 12

The volume of container = 3.49ft^3

=3.49×12×12×12

= 6030.72 in^3

What is the volume of a container?

The amount of space a container encloses, or how much room is inside of it, is measured by its volume. The volume of a box can be calculated using this straightforward formula: volume V = L × W × H for a box with height H, width W, and length L.

Many different units can be used, however because of the way this formula is written, the volume would have length to the third power dimensions. For instance, if the container's measurements are given in metres, the capacity of the box will be given in metres squared, or m3.

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URGENT QUESTION SOLVE FOR BRAINLYEST

Answers

Answer:

5.

a) it increases

b) 61.8

Explanation:

a) check the chart

b) add the wave speed of 4 and 5 then divide it by 2

What are the slope and the y-intercept of the linear function that is represented by the graph?

On a coordinate plane, a line goes through points (negative 3, 0) and (negative 2, 4).
The slope is 3, and the y-intercept is 9.
The slope is 3, and the y-intercept is 12.
The slope is 4, and the y-intercept is 9.
The slope is 4, and the y-intercept is 12.


ANSWER IS D

LETS GO BACK TO INDIANA CERA 1983 JUST 4 BOYS IN THE BASEMENT CHILLIN PLAYIN D&D THERE WAS LUCUS THERE WAS WILLIY WILL THERE WAS DUSTIN THERE WAS MIKE BUT ONE NIGHT WILL GOES MISSING WHILE HE RIDING ON HIS BIKE YAS! THAT'S WHEN THEY MET ME ELEVEN I HAD NO HAIR ON MY HEAD I HAD BEEN SO CLOSE TO DEAD CURTOSIY DOCTOR BRENNER WAS HUNTING ME 24/7 JOYCE WAS HANGING CHRISTMAS LIGHTS ON THE WEB STARTING HEARING SOME WILLY HAD SAID THIS COULD BE A MESSAGE FROM THE BEYOND WHAT HAPPEND TO BARB SHE'S JUST GONE IN THE UPSIDE DOWN HOPPER'S ONTOP OF THE CASE WHILE IM GOING DOWN INTO SPACE TRYING MY BEST TO FIND WILLY DUSTIN GOT PUDDING FOR DAYS DEMEGORGANS GETTING ALL IN MY WAY BLAST EM TO PEICES JUST LIKE A GRENADE WHAT HAPPEND TO ME IM IN THE UPSIDE DOWN WHAT ABOUT NOW

Answers

Answer:

D. The slope is 4, and the y-intercept is 12.

Explanation:

Use slope formula.

y2-y1/x2-x1

Points are (-3, 0) and (-2, 4)

4-0/-2+3=

=4/1=4

Slope is 4.

Use point slope formula.

y-y1=m(x-x1)

y-0=4(x+3)

y=4x+12

The y-intercept is 12.

D. The slope is 4, and the y-intercept is 12.

Hope this helps!

Please mark as brainliest if correct!

If your engine is flooded with gasoline, you should push the ____ to the floor and hold for _____. brake, 5 seconds brake, 1 minute accelerator, 1 minute accelerator, 5 seconds submit answer

Answers

You should depress the accelerator if the gasoline in your engine is flooded to the ground and maintain for five seconds.

An internal combustion engine, in particular, is a form of heat engine that is fueled by gasoline. The most popular means of propulsion for motorized vehicles are these engines. While gasoline can be used to power turbines, the term "gasoline engine" only applies to piston-driven gasoline engines.

Is a gasoline engine a diesel engine?

Diesel engines primarily use compression, whereas gasoline engines mostly use spark-fired combustion.The word "gasoline" is an American term for motor vehicle fuel. The trademark "Cazeline" or "Gazeline," which bears the last name of British publisher, coffee trader, and social activist John Cassell, is claimed to have had some impact on the phrase.Petroleum-derived combination of flammable, volatile liquid hydrocarbons used as fuel for internal combustion engines; often spelled gasolene, gas, or petrol. Additionally, it serves as a fat and oil solvent.

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The vernal equinox is now just entering the constellation aquarius. In what constellation will it lie in the year a. D. 10000?.

Answers

The constellation Scorpio will be visible in the year 10,000 A.D.

What makes the constellation of Scorpio unique?In addition to having a unique shape, one of the brightest constellations in the sky, the Scorpius constellation has long piqued people's interest.Despite having the name Scorpius, which is Latin for scorpion and literally means "the beast with the fiery sting," not everyone would consider Scorpius to be a scorpion.Scorpius is a wonderful and instantly identifiable constellation. It portrays a scorpion from a Greek myth that the goddess Artemis dispatched to slay the hunter Orion. Antares, a massive star that is hundreds of times bigger than the sun, is located at the center of the scorpion.

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A tie fighter is traveling around naboo with a velocity of 607 m/s. the tie fighter slows down at a rate of -7.5m/s^2 for 14.6 s. how far did the tie fighter travel while slowing?

Answers

The Total Distance covered by the train while slowing down is 8062.85 meters.

In the given situation,

We can find the distance covered by the tie fighter from the formula :

                               =>  [tex]S = ut + \frac{1}{2}at^{2}[/tex]

Here S = Distance, u = Initial Velocity, t = Time taken, a = Acceleration

It is given that, u = 607m/s, t = 14.6s, a = -7.5 m/s^2

The negative Acceleration means it is a case of Slowing down.

Putting values into the equation,

                               => S = (607)*(14.6) + (1/2)*(-7.5)*(14.6)^2

                               => S = 8862.2 + (-799.35)

                               => S = 8062.85

The total distance traveled while slowing is: 8062.85m

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A hypothetical metal has the bcc crystal structure, a density of 7.24 g/cm3, and an atomic weight of 48.9 g/mol. the atomic radius of this metal is:_________

Answers

BCC unit in a cell : It consists of 8 atoms on vertices and 1 atom at the centre.

Therefore, side length =  0.282 nm

1. No of atoms in the BCC cell = 1 / 8  *8 + 1 = 2 atoms

Atomic atoms = No of atoms * weight

= 2 * 48.9 g/mol = 97. 8 g / mol;

Mass of one mole = Atomic weight / No of mole

= 97.8 /6.022 * 10²³

= 16. 24 * 10⁻²³ g

Density = mass /  volume

7.24 = 16. 24 * 10⁻²³  /  a³

a = 2.82 * 10⁻⁸ cm ⇒ Side length

Relation between side length and the radius of atom is

a = 4R / √3

2.82 * 10⁻⁸ = 4R / √3

= 1.2212 * 10⁻⁸ cm

Radius = 0.122 nm

side length = 0. 282 nm

The atomic mass of an element is defined as?

The atomic mass of an element is defined as the weighted average mass of that element’s is absolutely False

Atomic mass (Also called Atomic Weight, although this denomination is incorrect, since the mass is property of the body and the weight depends on the gravity) Mass of an atom corresponding to a certain chemical element). The uma (u) is usually used as a unit of measure. Where u.m.a are acronyms that mean "unit of atomic mass". This unit is also usually called Dalton (Da) in honor of the English chemist John Dalton.

It is equivalent to one twelfth of the mass of the nucleus of the most abundant isotope of carbon, carbon-12. It corresponds roughly to the mass of a proton (or a hydrogen atom). It is abbreviated as "uma", although it can also be found by its English acronym "amu" (Atomic Mass Unit). However, the recommended symbol is simply "u".

The atomic masses of the chemical elements are usually calculated with the weighted average of the masses of the different isotopes of each element taking into account the relative abundance of each of them, which explains the non-correspondence between the atomic mass in umas, of an element, and the number of nucleons that harbors the nucleus of its most common isotope.

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Write a formula for a triangular wave with period 6, minimum value 0 and maximum value of 10

Answers

The equation for triangular wave with period 6 and amplitude 10 is -

[tex]$y=\frac{40}{6} |(x -\frac{6}{4})\;mod\;6)-\frac{6}{2}| - 10[/tex].

We have a triangular waveform.

We have to determine the equation representing this triangular waveform.

What is Waveform?

A waveform is a graphical representation of the shape of a wave that indicates its characteristics such as frequency and amplitude.

According to the question, we have -

Time Period = 6

Minimum value = 0

Maximum value = 10

Therefore -

Range → R ∈ [0, 10]

Amplitude = Max. value - Min. value = 10 - 0 = 10

The general equation for a triangle wave with amplitude 'a' and period 'p'  is given by →

[tex]$y=\frac{4a}{p} |(x -\frac{p}{4})\;mod\;p)-\frac{p}{2}| - a[/tex]

Now -

a = 10

p = 6

Substituting values -

[tex]$y=\frac{40}{6} |(x -\frac{6}{4})\;mod\;6)-\frac{6}{2}| - 10[/tex]

Hence, the equation for triangular wave with period 6 and amplitude 10 is -

[tex]$y=\frac{40}{6} |(x -\frac{6}{4})\;mod\;6)-\frac{6}{2}| - 10[/tex]

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How long will it take a car to go from a complete stop to 44 km/hr if they are accelerating
at 5m/s²?

Answers

Answer:

Time taken = 2.444sec

Explanation:

Greetings !

Given values :-

Final velocity (Vf) =44km/hr =12.22m/s Initial velocity (Vi) = 0m/sAcceleration (a)= 5m/s²

Required values:-

Time taken (t) =?

Solution/ work-out:-

Firstly change the km/hr value to m/s

Then, recall the Velocity-Time Equation:

[tex]vf = vi \: + at[/tex]

substitute known variables into the equation

[tex](12.22) = (0) + (5)t[/tex]

Solve for time

[tex]t = 2.444sec[/tex]

Hope it helps!!

In the worst case, a linear search locates a value in an array of length n in ____ steps.

Answers

In the worst case, a linear search locates a value in an array of length n in O(N) steps.

Briefing :The best case scenario for a linear search on a list of n items is when the goal value is equal to the very first item on the list. In these circumstances, just one comparison is required. The best case performance is therefore O(1). A linear search in linear time can perform a maximum of n comparisons, where n is the length of the list. As a result, O represents the computing complexity of linear search (N). When the search item occurs at the top of the list and is O(1), the Linear Search algorithm performs at its best. The worst-case scenario is when the search result does not appear at all or appears at the bottom of the list. The worst case scenario is O(N) because this would require N comparisons.

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How would you connect multiple batteries in order to get the biggest possible voltage?

Answers

We connect multiple batteries in series in order to get the biggest possible voltage.

Series connection

A circuit is set to be connected in series when there is same flow current through all the component in the circuit.

There is only one path for current to flow.

Parallel connection

A circuit is said to be connected in parallel when all the components are connected across each other's lead.

If we connect two batteries in series then the two batteries add up their voltage. And we have the combined voltage. (as shown in image)

series means connecting one anode to the another cathode of next.

similarly if batteries placed in parallel then the voltage in circuit is same as of individual battery.

We connect multiple batteries in series in order to get the biggest possible voltage.

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