the specific heat capacity of material x is c1 and that of material y is c2 such that which of these substances requires more input energy for a temp change g

The convertion between minutes to second can be calculated by:

[tex]8\frac{1}{3} minutes = 8\frac{1}{3} . 60s =500s[/tex]

The convertion between km to meter can be calculated by:

150,000,000 km = 150,000,000 x 1,000 = [tex]1.5x10^{11}[/tex]m

The, the speed of light in m/s is [tex]\frac{1,5x10^{11} }{500}= 3x10^{8}[/tex] m/s

To learn more about speed, you can check on https://brainly.com/question/29775794

#SPJ1

The capacitance, C, of a capacitor is defined as the ratio of the maximum charge, Q, that can be stored in the capacitor to the voltage, V, applied across the plates of the capacitor. In other words, capacity is the maximum amount of charge per volt that can be stored in a device.

C = QV . C = QV

A capacitor is a system of two conductors separated by an insulator. While capacitance is the ability to store electric potential energy and electric charge. So the function of the capacitor and capacitance is an object that can store an electric charge.

The capacitors and capacitance can store electricity and redistribute it. Its use can be found as in flash lights on cameras, it is also widely used on electrical circuit boards on computers and on various electronic equipment.

In addition, these capacitors and capacitance can be used to smooth out the ripple that occurs when alternating current is converted to direct current in the power supply, so that it can be used in calculators or radios when the battery cannot be used.

Learn more about capacitance at https://brainly.com/question/28445252

#SPJ1

The model to show changes in the nucleus of an atom during nuclear fission and fusion is given in the images attached.

Alpha decay is a type of radioactive decay where the parent nucleus loses an alpha particle, which is made up of two protons and two neutrons. This results in the formation of a smaller nucleus. Alpha particles have a high amount of kinetic energy and can cause harm to skin and living tissue if not shielded properly. However, they are relatively easy to shield against as they can be stopped by simple materials such as paper or fabric.

Therefore, To compare the amounts of energy released in alpha decay to other events, one could look at the half-life of the radioactive material and the energy released during each decay event. For example, gamma decay releases a large amount of energy in the form of high-energy photons, which are much more difficult to shield against compared to alpha particles. Similarly, beta decay releases high-energy electrons, which can also cause harm to living tissue if not shielded against properly.

Learn more about nuclear fission from

https://brainly.com/question/1544488

#SPJ1

The correct option is C, the area of R is the area of the large triangle minus the area of the small triangle minus the area of the circle, which is [tex]$\frac{14^2}{2}-\frac{4^2}{2}-(\frac{5\sqrt{2}}{2})^2\pi=98-8-\frac{25\pi}{2}$[/tex] ,which is approximately 51.

Area is a mathematical concept that represents the size or extent of a two-dimensional region or surface. It is expressed in square units, such as square meters, square centimeters, or square miles. The area of a shape is determined by multiplying its length by its width.

Area is an important concept in various fields, such as architecture, construction, engineering, and physics. In architecture, for example, the area of a room or a building is used to determine its capacity, as well as its heating and cooling needs. In construction, the area of a plot of land is used to determine its value, and the area of a building’s roof is used to determine the amount of materials required for its construction.

To learn more about Area visit here:

brainly.com/question/14728099

#SPJ4

Complete Question: -

Let A(2,2) and B(7,7) be points in the plane. Define R as the region in the first quadrant consisting of those points C such that triangle ABC is an acute triangle. What is the closest integer to the area of the region R?

(A )25     (B) 39    (C) 51     (D) 60    (E) 80

Your body reacts to changes in speed, velocity, and acceleration because of Newton's laws of motion. According to these laws, an object in motion will remain in motion unless acted upon by an unbalanced force. When the car accelerates, the sudden increase in speed pushes your body back against the seat, as if you are being pulled by a force equal and opposite to the acceleration of the car. This is known as the law of inertia.

Similarly, when there is a sudden change in direction, such as when the car turns a corner, your body continues to move in a straight line due to inertia. This causes you to veer to one side or the other, as the change in direction creates a force that acts on your body. This is known as centripetal force, which is directed towards the center of the turn and is proportional to the speed and acceleration of the vehicle.

In conclusion, your body reacts to changes in speed, velocity, and acceleration in a vehicle because of the laws of motion, which describe how objects in motion interact with forces and accelerations. Your body's movements are the result of the forces acting on it, which can be explained by Newton's laws of motion.

Learn more about acceleration from

https://brainly.com/question/460763

#SPJ1

From this equilibrium position, a pendulum is drawn down an additional 0.15 m but then released after being pulled apart 13.0 cm.

Its gravitational energy is at its peak near the height of the swing. Gravitational energy declines and is converted to kinetic energy even as pendulum swings downward. It possesses the most kinetic energy and the least gravitational energy somewhere at bottom of its swing.

Energy may be found OR transferred easily, for instance The pendulum possesses kinetic energy when it is in motion. It also has gravitational force due to its height at the end of the swing. As the pendulum swings, heat is lost to the atmosphere, and kinetic energy transforms into potential energy, or KE to PE.

To know more about energy visit :

https://brainly.com/question/2409175

#SPJ4

The magnitude of the net gravitational force on the central particle due to the other particles is zero.

The direction of the net gravitational force is also zero, since all of the forces on the central particle due to the other particles cancel out.

Given the mass of central particle = m

It is surrounded by array of square of other particles.

The particles are separated by a distance of d or d/2

We know the force of gravity is F = GMm/r^2 where G is the gravitational constant and r is the distance between the particles.

Each particle's gravitational force on one side of the square cancels out the gravitational pull of one of the other side's particles.

The magnitude of gravitational force acting on the particles is zero because the forces due to all other charges cancel due to the symmetry considerations.

To learn more about gravitational force click here https://brainly.com/question/24783651

#SPJ4

Convolution is the technique of altering an image in image processing by applying a kernel to each pixel and its nearby pixels over the whole picture.

Convolution is the process of adding each picture component to its nearby neighbours while using the kernel's weighting. This is connected to a certain kind of convolution in mathematics. Despite being similarly indicated by the symbol *, the matrix operation being carried out—convolution—is not conventional matrix multiplication.

Conv2 can produce one of the following outcomes: full: larger than the original image, accounting for all pixels that the convolution kernel can calculate, even if their centres are outside of the image. This is the function's default option.

Learn more about kernel f

https://brainly.com/question/14502332

#SPJ4

In Edgar Allan Poe's "The Narrative of Arthur Gordon Pym of Nantucket," the narrator refers to the shore of the River Styx as "Pluto."

This allusion serves a symbolic purpose in the narrative. The River Styx was believed in Greek mythology to separate the land of the living from the land of the dead, with the ferryman Charon transporting souls across the river. By using the allusion of the River Styx, Poe creates a sense of foreboding and the idea that the narrator and the crew are crossing a threshold into an unknown and dangerous territory. This metaphor further emphasizes the theme of death and the unknown that runs throughout the narrative, heightening the suspense and eerie atmosphere of the story. By making this allusion, Poe effectively sets the stage for the events that are to come, suggesting that the narrator and crew are embarking on a journey into the unknown and possibly even the afterlife.

Learn more about Pluto:

brainly.com/question/13402868

#SPJ4

The time it takes the ball to roll down without slipping 1.7 mm down an incline is 0.046 s.

The ball rolling without slip means that the ball experiences translational kinetic energy and rotational kinetic energy. The formula for the energy

PE = m × g × h

KE = 0.5 × m × v²

ME = PE + KE

RKE = 0.5 × I × ω²

ω = v/R

At the top

At the bottom

According to the law of conservation of energy

ME₁ = ME₂

PE₁  + KE₁ + RKE₁ = PE₂ + KE₂ + RKE₂

1.67 × 10⁻² × m + 0 + 0 = 0 + 0.5 × m × v² + 0.5 × I × ω²

1.67 × 10⁻² × m = 0.5 × m × v² + (1/2) × (2/3)mR² × (v/R)²
1.67 × 10⁻² = (1/2) × v² + (1/3)R² × v²/R²

1.67 × 10⁻² = (3/6)v² + (2/6)v²

1.67 × 10⁻² = (5/6)v²

v² = 1.67 × 10⁻² × (6/5)

v² = 2.0 × 10⁻²

[tex]v \:=\: \sqrt{2.0 \times 10^{- 2}[/tex]

v = 0.14 m/s

According to non-uniform motion

v² = u² + 2ad

v = u + at

Calculate the acceleration

v² = u² + 2ad

0.14² = 0² + (2 × a × 0.0032)

0.0196 = 0.0064a

a = 0.00196 ÷ 0.0064

a = 3.06 m/s²

Time traveled

v = u + at
0.14 = 0 + 3.06t

t = 0.14 ÷ 3.06

t = 0.046 s

Learn more about Rotational kinetic energy here: https://brainly.com/question/30459585

#SPJ1

The mass of a mole of dry air is approximately 28.97 g/mol, which we attain by adding up the mass of each component gas.

The mass of a mole of dry air can be calculated by determining the mass of each component gas in the mixture and adding them together. A mole of a gas is defined as the number of atoms or molecules of the gas that contains Avogadro's number of entities, which is 6.022 x 10^23.

To calculate the mass of a mole of air, we first need to determine the number of moles of each component gas in a sample of air. The volume percent of each gas in dry air can be used to calculate the number of moles of each gas in a sample. For example, the number of moles of nitrogen (N2) in a sample of air can be calculated as follows:

n(N2) = 0.78 x total number of moles of air

Similarly, the number of moles of oxygen (O2) and argon (Ar) in a sample of air can be calculated using their volume percentages.

Next, we need to determine the molecular weight of each component gas, which is the mass of one mole of the gas. The molecular weight of nitrogen is 28.02 g/mol, the molecular weight of oxygen is 32 g/mol, and the molecular weight of argon is 39.95 g/mol.

Finally, to calculate the total mass of a mole of air, we add up the mass of each component gas:

Mass of a mole of air = n(N2) x MW(N2) + n(O2) x MW(O2) + n(Ar) x MW(Ar)

The mass of a mole of dry air is therefore = 28.97 g/mol.

Learn more about mass here:

https://brainly.com/question/4393798

#SPJ4

The intermolecular forces present in Co is dipole-dipole, BF3 is dispersion, CH is dispersion, NaNO3 is dipole-dipole, Ar is London Dispersion Force and in NH4Cl dispersion forces are present.

Intermolecular forces are the main reason for the substance's physical characteristics. The condensed states of matter are caused by intermolecular forces. London dispersion forces are the intermolecular force seen in CO. Due to its high degree of polarity, CO engages in dipole-dipole interaction. Van der Waal's force is the sole intermolecular force present in the boron trifluoride molecule. Although C-H bonds have a small amount of polarity. For this substance, dispersion forces would be the most important intermolecular force. For noble gases like argon, there is an intermolecular force of attraction known as the London Dispersion Force (Ar). Since both molecules in NH4Cl are non-polar, the only forces at play are London dispersion forces.

To learn more about force click here https://brainly.com/question/13191643

#SPJ4

When a man approaches a bus that is standing still at speed of four m/s and bends the door at a distance of 6 m, the bus accelerates forward at a constant rate of 1.2 m/s.

An object's velocity can alter depending on whether it moves faster or slower or in a different direction. A falling apple, a moon orbiting the earth, and a car stopped at a stop sign are a few instances of acceleration.

A car is speeding as it rounds a corner at steady velocity because its trajectory is shifting. The acceleration increases with turning speed. As a result, an increase or a decrease in speed or direction, or both, when velocity changes, either in magnitude or both.

To know more about acceleration visit :

https://brainly.com/question/12550364

#SPJ4

The speed of the electron at point B is 4.51 x 10⁵ m/s.

The speed of the proton at point B is 1.913 × 10⁴ m/s.

Part A: The electric field will exert a force on the electron in the opposite direction of its motion. The magnitude of the force is given by the product of the electric field strength (1.51 N/C) and the charge of the electron (-1.60 x 10⁻¹⁹C). The acceleration of the electron due to this force is given by the force divided by its mass (9.11 x 10⁻³¹ kg). The velocity of the electron after a time t can be calculated using the kinematic equation v = v₀ + at, where v₀ is the initial velocity and a is the acceleration.

The time t can be calculated from the distance the electron moves in the electric field (0.380 m) and its initial velocity: t = x / v₀

Finally, the speed of the electron at point B can be calculated as the magnitude of its velocity.

Putting everything together, we get:

F = qE = -1.60 x 10⁻¹⁹ C x 1.51 N/C = -2.42 x 10⁻¹⁸ N

a = F / m = -2.42 x 10⁻¹⁸ N / 9.11 x 10⁻³¹ kg = -2.65 x 10¹² m/s²

t = x / v₀ = 0.380 m / 4.51 x 10⁵ m/s = 8.38 x 10⁻⁷ s

v = v₀ + at = 4.51 x 10⁵ m/s - 2.65 x 10¹² m/s² x 8.38 x 10⁻⁷ s = 4.51 x 10⁵ m/s - 0.22 m/s

The speed of the electron at point B is approximately 4.51 x 10⁵ m/s - 0.22 m/s = 4.51 x 10⁵ m/s.

Part B: The velocity of a charged particle moving in a uniform electric field is given by v = v₀ + at, where v₀ is the initial velocity, a is the acceleration, and t is the time elapsed.

In this case, the electric field acts on the proton, which has a positive charge, and thus the direction of acceleration is to the west. The magnitude of the acceleration is given by a = qE/m, where q is the charge of the proton and m is its mass.

Since the electric field is uniform, we can use the equation x = v₀t + 0.5at², where x is the displacement of the proton, to find the time elapsed.

Plugging in the given values, we have:

x = 0.380 m

v₀ = 1.91 × 10⁴ m/s

q = 1.6 × 10⁻¹⁹ C (charge of a proton)

E = 1.51 N/C

m = 1.67 × 10⁻²⁷ kg (mass of a proton)

Solving for t, we find that t = 4.40 × 10⁻⁷ s.

Substituting this value back into the equation for v, we find that the speed of the proton at point B is 1.913 × 10⁴ m/s.

Learn more on speed of electrons here: https://brainly.com/question/13016209

#SPJ1

Answer:

70 N

Explanation:

F = m x a ( Newton’s second law )

= 6 kg x 10 m/s2 (Acceleration due to gravity is 9.8 m/s2 but 10 when rounded)

= 70 N

Hope it helps!

He possesses an extra electron at the same energy level as H and a higher nuclear charge than H.

Photoelectron Spectroscopy (PES):

PES (photoelectron spectroscopy) is a technique for determining the relative energy levels of electrons in atoms and molecules. Scientists typically employ PES to investigate molecular bonding or to identify the constituent constituents of a substance.

Photoelectron spectroscopy (PES) is a method that determines the composition and electronic state of a sample's surface area by ionising it and analysing the kinetic energy distribution of the emitted photoelectrons.

It is feasible to analyse the electronic structure of molecules by determining the binding energy, intensity, and angular distributions of photoelectrons by measuring their kinetic energy. It differs from conventional spectroscopy in that it investigates the electrical structure of a substance by detecting electrons rather than photons.

Photoelectron spectroscopy allows one to determine the relative energy of electrons in atoms and molecules (PES).

A graph of the photoelectron count against binding energy is a PES spectrum.

PES peaks represent the electrons in the different subshells of an atom. Core electrons are represented by the peaks with the highest binding energies, while valence electrons are represented by the peaks with the lowest binding energies.

For such more question on Photoelectron Spectroscopy

https://brainly.com/question/25113404

#SPJ4

Because Loeffler medium enhances primary and secondary isolation and cultivation of fastidious pathogenic microorganisms especially from nose and throat. It also restores virulence and other identifying properties.

Loeffler medium enhances primary and secondary isolation and cultivation of fastidious pathogenic microorganisms especially from nose and throat. It also restores virulence and other identifying properties (microscopic and colonial) after they have been lost due to prolonged incubation or repeated subculturing.Ions are supplied by sodium chloride. Dextrose is a fermentable carbohydrate source. During the sterilising process, the eggs and beef serum cause the medium to coagulate and are sources of protein that the coynebacteria and other organisms utilise for metabolism.

To know more about loeffler medium visit:

https://brainly.com/question/29570577

#SPJ4

The final velocity of the toy car after the collision with the wall is 2.46 m/s.

The final velocity of the toy car after the collision with the wall is determined from the formula of impulse and momentum.

Impulse = change in momentum

Also, impulse = force * time

change in momentum = mv - mu

where:

m is the mass = 0.25 kg

v is the final velocity = ?

u is the initial velocity = 0.86 m/s

From the graph, the force is 40 N and the time of impact is 0.01 seconds

40 * 0.01 = 0.25v - 0.25 * 0.86

0.25v = 0.615

v = 2.46 m/s

Learn more about impulse and momentum at: https://brainly.com/question/20586658

#SPJ1

Elliptical galaxies make up both the largest and smallest galaxies in the cosmos. One trillion or more stars can be found in giant elliptical galaxies. Dwarf ellipticals have less than 10 million stars.

The solar system is a very large area compared to your neighbourhood , your nation, or even planet Earth. However, there are much larger systems—groups of two, two hundred, or two billion stars—in the cosmos. Star clusters are somewhat bigger groups of stars than star systems, which are smaller groups of stars.

The nucleus, a central bulge, a disc, spiral arms, and a large halo are the four main structural divisions of this structure.

Learn more about solar system

https://brainly.com/question/1286910

#SPJ4

If an airplane is  is accelerating down a runway at 2.5 m/s². It's velocity changes 2.5 m/s in each second.

Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.

Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.

Hence, the velocity of the airplane changes 2.5 m/s in each second  when it  is accelerating down a runway at 2.5 m/s².

Learn more about acceleration here:

brainly.com/question/12550364

#SPJ1

The phase velocity in a printed circuit board with a relative dielectric constant (εr) of 4.6 can be calculated using the formula, so the final answer will be [tex]2.36 \times 10^{8} m/s.[/tex]

The symbol for it is r. It is a substance's capacity to permit the passage of an electric current. the capacity of empty space to permit the passage of an electric current the proportion of a substance's permittivity to the permittivity of empty space It is influenced by frequency.

The relative permittivity was once known as the dielectric constant and represented by the Greek letter kappa: = 0; r = 0; Since we frequently use the same units, F/m, for both and 0, r is a dimensionless number. Air and vacuum. A vacuum has a relative permittivity of 1 by definition.

vp = c / √εr

vp = 3 x 10^8 m/s / √4.6

vp = 2.36 x 10^8 m/s

to know more about  phase velocity here:

brainly.com/question/18565646

#SPJ4

By the use of Coulomb's law The value of charge is q = 89.7 nC

Coulomb's law is the mathematical expression describing how these three factors affect electric force. According to Coulomb's law, the electrical force between two charged items is inversely proportional to the square of the separation distance between the two objects and directly proportional to the product of the quantity of charge on the objects. When two items behave as point charges, the force between them can be accurately described by the Coulomb's law equation. When interacting with other charged objects, a charged conducting sphere behaves as though its whole charge were concentrated in its centre. Although the charge is evenly distributed around the sphere's surface, the centre of charge can be thought of as the sphere's centre.

m = 1.4g = 0.0014 kg is the mass of each sphere

r = 2.1 cm =m is the distance between the spheres

a = 130m[tex]s^{-2}[/tex] is the acceleration of the spheres

Let us assume that the spheres accelerate away from one another. This would tell us that the charges have the same sign. So here we can get the force from the mass and acceleration:

F = ma

Now this force is also equal to Coulomb's law since the charges are the only source of force here. We can thus equate:

ma = [tex]\frac{k \times q ^ 2}{r ^ 2}[/tex]

We isolate the charge q:

q = [tex]\sqrt\frac{m\times a \times r ^ 2}{k}[/tex]

We substitute:

q= [tex]\sqrt\frac{0.0014\times 130\times (0.021 ) ^ 2}{9\times10^9}[/tex]

We thus get:

q = [tex]8.918\times10^{-7}[/tex]

q= [tex]8.918\times10^{-7}[/tex] x  [tex]\frac{1 nC}{1 \times 10^{-9}}[/tex]

q = 89.7 nC

Learn more about Coulomb's law

brainly.com/question/506926

#SPJ4

The force constant is used to make an educated guess regarding the vibrational frequency of an atom-to-atom link.

We can roughly determine the vibrational frequency of a bond between two atoms of mass m1 and m2 using the equation shown in this illustration. In this equation, f stands for the spring's force constant, which stands for the bond's tensile strength, and mred for the system's reduced mass. A molecule's link can rotate and vibrate in a variety of ways. A measure of a bond's strength is the force constant (K). As a result, as bond strength grows, the value of stretching frequency of a bond also increases. However, the question implies that the force constant would remain unchanged, thus we must only rely on the other factor—reduced mass.

To learn more about frequency click here https://brainly.com/question/17196899

#SPJ4

The three indices of the fraud triangle include . ( The correct answer is (a.).

The Fraud Triangle consists of three components: pressure, opportunity, and rationalization.

Pressure -- Fraud can originate from either personal financial pressure or work pressure. Personal financial pressure can be due to greed, personal debt, addiction to drug/gambling, large pending bills, unexpected losses, etc. Work pressure can include a sense of dissatisfaction at work, unrealistic performance targets, pressure from superiors, etc.

Opportunity -- The pressurized employee looks for an opportunity to commit the fraud. Opportunity can be the situation which makes an individual believe that there is an enough room available to commit the fraud. Few examples of such situations can be poor internal controls, gaps in the employee policies, ineffective monitoring of the existing controls, etc.

Rationalization -- Rationalization, in simple terms, is when an individual justifies and convinces himself/herself that it is okay to do something (in this case, commit fraud). A few reasons that might be considered when rationalizing include the idea that the practice is "normal," convincing oneself that the money will be paid back, the unfilled deserving of a pay rise, etc.

Learn more about fraud triangle

brainly.com/question/15347384

#SPJ4

If the light spring is stretched with a spring constant of 102 N/m then, the elongated length of the spring will be 0.48 meters.

Spring constant is the force which is needed to stretch or press a spring, divided by the distance that the spring gets longer or shorter.

Given,

Spring constant of light spring k = 102.0N/m

mass of balloon m = 1.75g = 1.75 × 10⁻³ Kg

Density of helium (He) = 0.179 kg/m

Density of air = 1.204 kg/m³

Volume of balloon/helium V = 4.92 m³

We have 3 forces acting on the spring, two directed downward, one upward. Downward forces are the weight of the balloon and weight gas inside it. of the helium

Upward force is the buoyant force. helium is of lesser density. air.

Now, Fnet = mg + e(He) vg - Ve(air)g

Fnet = g[m + v(e(He)-e(air))]

Fnet = 9.8 (1.75 × 10⁻³+ 4.92(0.179-1.204))

Fnet = 9.8(0.00175 + (-5.04125))

Fnet = 9.8 × -5.04125

Fnet = -49.40 N

The elongation of the spring = IFnetI/ K

Length = 49.40/ 102

Length of spring = 0.48 meters

Therefore, the elongated length of the spring will be 0.48 meters.

Learn more about Spring here:

https://brainly.com/question/14670501

#SPJ1

The magnitude of vector A is determined as 3.52 m.

The value of vector A is calculated by applying the principle of vector addition.

R² = A²  + B²

where;

The resultant vector is given as 2 times vector A.

( 2A)² = A² + ( 6.1 )²

4A² = A² + 37.21

3A² = 37.21

A² = 37.21 / 3

A² = 12.4

A = √ ( 12.4 )

A = 3.52 m

Thus, the value of vector is determined from vector addition of A and B.

Learn more about addition of vectors here: https://brainly.com/question/2927458

#SPJ1

The satellite's radius of rotation, r, expressed in terms of the provided values, [tex]fc=mv^2/r $and$ fg=GmM/r^2.[/tex]

We can determine the orbital period by noting the interval between transits. If the mass of the orbiting star is known, one may use Kepler's Third Law to calculate the orbital radius of the planet (R3=T2Mstar/Msun; the radius is in AU and the period is in earth years).

Kepler's law specifies the relationship between the circular path's radius (r) and time period (T). Kepler asserted that the cube is directly proportional to the square of the time period.

To know more about radius visit:-

brainly.com/question/13067441

#SPJ4

Question:

Quantitatively determine the radius of revolution, R, of the satellite in terms of the given quantities and any fundamental constants

Fc=Fg

Fc=_______

fg=_______

Fc=_______=Fg=_______

a) The Cartesian components of tension TnA for unit vector by the magnitude of tension is (-87.89, -74.59, 47.44), i lb, j lb, k lb.

b) The tension in cable DC is TnC = 74.59 lb.

Part A: Determining Cartesian components of force

To find the Cartesian components of the tension TnA, we need to determine the direction of the tension from point D to point A. The direction can be expressed in terms of unit vectors i, j, and k.

The direction from point D to point A can be expressed as the vector (AXD) = (-4.50,-3.80,2.80) ft - (0,0,0) ft = (-4.50,-3.80,2.80) ft.

To convert the direction vector into a unit vector, we divide each component by the magnitude of the vector:

AXD = (-4.50,-3.80,2.80)/√((-4.50)² + (-3.80)² + (2.80)²) = (-8.158, -6.889, 4.532)

Finally, the Cartesian components of tension TnA can be found by multiplying the unit vector by the magnitude of tension:

TnA = 10.6 lb × (-8.158, -6.889, 4.532) = (-87.89, -74.59, 47.44), i lb, j lb, k lb

Part B: Determining an unknown force

To find the tension in cable DC, we need to find the net force acting on the ball. The net force can be expressed in terms of its Cartesian components, which can be calculated as the sum of the tensions in cables DA, DB, and DC.

Let's call the tension in cable DC TnC. The net force in the x-direction is equal to the sum of the x-components of the tensions, which is:

-87.89 + TnC = 0

TnC = 87.89 lb

Similarly, the net force in the y-direction is equal to the sum of the y-components of the tensions, which is:

-74.59 + TnC = 0

TnC = 74.59 lb

Since the net force must be zero, TnC must be equal in both the x-direction and the y-direction. Therefore, TnC = 87.89 lb = 74.59 lb.

Learn more about cartesian force at

https://brainly.com/question/10981560

#SPJ4

The question is -

To determine Cartesian force components from the magnitude and determine the position and resultant vectors by summing Cartesian components. Part A- Determining Cartesian components of force As shown, a 3.3-lb ball is suspended at point D inside a box with dimensions w = 8.90 ft, d 6.40 ft, and h = 4.50 ft.

The ball is held in place by three cables anchored at points A, B, and C on the surface of the box. The tension in cable DA has a magnitude of TnA = 10.6 1b. Find the Cartesian components of tension TnA which is directed from D to A.

D is the origin of the Cartesian coordinate system, point A is located at (-4.50,-3.80,2.80) ft, point B is located at (1.90,-3.80,1.80) ft, and point C is located at (1.90, 5.10, -1.70) ft.

Part B- Determining an unknown force If the tensions in cables DA and DB are Tpa = 10.6 lb and TDB 6.98 lb, respectively, what is the tension in cable DC? Express your answer to three significant figures and include the appropriate units.