A system consisting of several objects attached to each other. If the net external torque acting on the system is zero, then there will be

a) a change in the system's moment of inertia
b) no change in the system's moment of inertia
c) a change in the system's angular momentum about its center of mass
d) no change in the system's angular momentum about its center of mass

I personally think its D. Thanks

Answers

Answer 1

Answer: its D yea

Explanation:

If the net external torque acting on the system is zero, the total angular momentum of a system remains constant, i.e. it is conserved


Related Questions

Naci ( table salt ) is an example of a (n)

Answers

Salt, or NaCl, is an example of an ionic compound. Ionic compounds are formed when a metal combines with a non-metal through the transfer of electrons.

What are crystalline compounds?

Crystalline compounds are compounds that have a well-defined, ordered, and repeating three-dimensional arrangement of atoms, ions, or molecules in a solid state. In a crystalline compound, the constituent particles are arranged in a highly ordered and repeating pattern called a crystal lattice.

In the case of NaCl, the sodium (Na) donates an electron to the chlorine (Cl), forming an ionic bond between them and resulting in the formation of an ionic compound. Ionic compounds typically have high melting and boiling points, are crystalline in structure, and conduct electricity when dissolved in water.

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A gas of volume 1 l at 10 degree Celsius is heated in such a way that both its volume and pressure become double calculate the final temperature of the gas

Answers

Answer:

P V = N R T        describes an ideal gas

T2 / T1 = P2 V2 / (P1 * V1) = 4

T1 = 273 + 10 = 283        initial absolute temperature of gas

Find the current in the given cicular loop of circuit if the given voltage is 8

Answers

The current flowing through the battery is 46.67 A.

The first step is to calculate the equivalent resistance of the circuit, which includes the resistance of the loop and the internal resistance of the battery. Since the points P and Q are connected to the battery, they are effectively in parallel, so the equivalent resistance is,

1/R = 1/40 Ω + 1/0.5 Ω = 0.025 Ω

R = 40 Ω || 0.5 Ω = 0.024 Ω

The total current flowing through the circuit is given by Ohm's law, I = V / (R + r), where V is the voltage of the battery, r is its internal resistance, and R is the resistance of the loop.

Substituting the given values,

I = 24 V / (0.024 Ω + 0.5 Ω) = 46.67 A

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--The complete question is, A circular loop has a resistance of 40Ω. Two points P and Q of the loop, which are one quarter of the circumference apart are connected to a 24V battery, having an internal resistance of 0.5Ω. What is the current flowing through the battery.--

The north and south poles of two magnets are attached to each other. A student pulls the poles apart and hold them at a distance of 10 cm. How does the energy stored in the system change?

A. Kinetic energy decreases because the magnets move in the opposite direction of the field.
B. Kinetic energy decreases, because the magnets move in the direction of the field.
C. Kinetic energy increases because the magnets move in the direction of the field.
D. Kinetic energy increases because the magnets move in the opposite direction of the field.

Answers

Kinetic energy increases because the magnets move in the opposite direction of the field.

What is magnets?

A magnet is an object that can attract certain materials, such as iron and steel. Magnets have two poles, a north pole and a south pole, and they can attract and repel other magnets. When two magnets are placed near each other, their magnetic fields interact and the force of attraction or repulsion can be felt. Magnets can also pick up objects made of iron and steel, such as paper clips and nails. Magnets can be made of different materials, including iron, nickel, cobalt, and other alloys. Natural magnets are found in the earth and are known as lodestones.

When two magnets are pulled apart, their relative motion generates a magnetic field that opposes the original field. This increases the kinetic energy stored in the system.

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Answer:

b

Explanation:

I have a test on this tomorrow I don’t get any of it if you can show your answers so I can try and figure out how you did it please and thank you (Will mark BRAINLYEST)

Answers

Conversion of following units:

1. 946000000 mm= 946 km

2. 0.4m = 0.0004 km

3. 0.019m = 19 cm

4. 30,925,800 cm= 309.258 km

5. 0.002651 Lt.=  2.651 ml

6. 0.04854mm= 0.004854cm

What is Conversion of units?

Conversion of units is defined as the conversion between different units of measurement for the same quantity by means of multiplicative conversion factors, which change the value of the quantity being measured without changing its effect.

For above given example,

1. 1 Pound= 0.453592kg

So, 200 pounds will equals to 9.07185kg

2. One quarter = 25 cents

13 quarters will have 325 cents.

3. 1 minute= 60seconds

1 hour= 60 minutes= 3600 seconds

1 day= 24hrs or 86400seconds

So, 3days= 259200seconds

4. 1 mile/hr.= 0.44704m/s

So, 30miles/hr.= 13.4112 m/s

Thus, Conversion of following units:

1. 946000000 mm= 946 km

2. 0.4m = 0.0004 km

3. 0.019m = 19 cm

4. 30,925,800 cm= 309.258 km

5. 0.002651 Lt.=  2.651 ml

6. 0.04854mm= 0.004854cm

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A cannon ball is fired horizontally with a velocity of 50m/s from the top of a cliff 90m high. After how many seconds will it strike the plain at the foot of the cliff? At what distance from the foot of the cliff will it strike? With what velocity will it strike the ground?

Answers

Answer: The cannon ball will hit the floor after 4.24 seconds. It will strike at a distance of 212m from the foot of cliff. As the object is travelling with the zero acceleration due to horizontal movement its final velocity will be 50m/s.

Speed =distance / time u can use this formula

find a magnitude and direction (the counterclockwise angle with the +x-axis) of a vector that is equal to a+b.
a: magnitude 27m direction 51°
b: magnitude 17m direction -6.5°
c: magnitude 19 m direction 0.0°
d: magnitude 27 m direction 39°

Answers

Magnitude and direction of a vector that is equal to a+b is 19m and 0.0° resp. Hence the correct option is C. magnitude 19 m direction 0.0°

What is Vector?`

Vector is a mathematical quantity which has both magnitude and direction.

Vectors are denoted with usual notation with an arrow upon it. for example, Force, Displacement, Velocity and Acceleration etc. are the vectors which has both magnitude as well as direction.

When two same vectors are acting at a point in two dimension. The magnitude of  resultant of this two vectors are given by,

R² = R₁² + R₁² +2R₁R₂cosθ......1

Where θ is the angle between them.

The direction of the resultant vector of two same vectors is given by the equation,

tanθ = (R₁ sinθ) ÷ (R₁ + R₂cosθ)......2.

In this picture, we have to find magnitude and direction of vector A+B, we have nothing to do with vector C.

vector A is at 37° from vertical, means 90-37 = 53° from positive x direction.

A = 12 m and 53°

B = 15m and 40°

angle between these two vectors are θ= 53+40 = 93°

magnitude of resultant of this two vectors are A+B which is given by the equation.

putting these values in equ. 1 we get,

R² = 12² + 15² +2(12×15)cos93°

R² = 350.15

R = 18.71 ≅ 19m ( magnitude)

From equation 2

tanα = (12 sin93°) ÷ (12+ 15cos93°)

tanα  = 0.8337

α  = 39.82° this angle is from vector B

so the angle of resultant from positive x axis is 40-39.82 = 0.17 ≅ 0.0°

Hence C is correct option is c: magnitude 19 m direction 0.0°

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2. Where a river flows from an area of hard rock to an area of soft rock, the softer rock may wear away, eventually forming a drop called a(n) __.
A. Oxbow lake
B. Waterfall
C. Gully
D. Delta

Answers

Where a river flows from an area of hard rock to an area of soft rock, the softer rock may wear away, eventually forming a drop called a waterfall. Thus, the correct option is B.

What is a Waterfall?

A waterfall is a river or other body of the water's steep which fall over a rocky ledge into a plunge pool below. Waterfalls are usually also called as cascades. The process of erosion, the wearing away of the earth, plays an important part in the formation of waterfalls in the world.

Waterfalls are generally created when the riverbed changes suddenly from the hard rock to soft rock. Rapids are formed where a fast-flowing river quickly cuts downwards through the waterbed of hard and soft rocks, eroding the soft rock and leaving the hard rocks which are standing above the water surface.

Where a river flows from an area of harder rock to an area of the softer rock, the softer rock may wear away, and it eventually results into the formation of a drop called a waterfall.

Therefore, the correct option is B.

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b) On the surface of the Earth the spacecraft falls at 9.8 m/s². What is the Spacecraft's
acceleration at this new distance from Earth?

Answers

Acceleration due  to gravity of the spacecraft at a height of 6400 km from earth's surface is 2.45 m/s²

What is acceleration due to gravity ?

The acceleration of an object attained due to the gravitational force acting on it is called acceleration due to gravity.

Here,

The acceleration due to gravity on the surface of earth,

g = GM/R²

Acceleration due to gravity at a height h from earth's surface,

g' = GM/(R + h)²

So, g'/g = R²/(R + h)²

Therefore, g' = gR²/(R + h)²

 

Here, h = 6400 km = Radius of earth, R

so h = R

Therefore,

g' = gR²/(R + R)²

g' = gR²/4R²

g' = g/4 = 9.8/4

g' = 2.45 m/s²

Hence,

Acceleration due  to gravity of the spacecraft at a height of 6400 km from earth's surface is 2.45 m/s²

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Your question was incomplete, but most probably your full question was:

On the surface of the Earth the spacecraft falls at 9.8 m/s². What is the Spacecraft's acceleration at a height 6400 km from Earth?

a red lady appears ___ in blue light

Answers

The answer would be Black

Answer question in photo

Answers

The work done on the box, given that it moves 6.50 meters horizontally when a force of 25.72 N is applied is 144.78 J

How do I determine the work done on the box?

Work is defined as the product of force and distance moved in the direction of the force. This is given as:

Work done (Wd)  = force (F) × distance (d)

Wd = fd

When certain angle projection is involved, the work done is given as

Wd = FdCosθ

The following data were obtained from the question:

Distance (d) = 6.50 mForce (F) = 25.72 NAngle (θ) = 30°Workdone (Wd) =?

The work done can be obtained as follow:

Wd = FdCosθ

Wd = 25.72 × 6.50 × Cos 30

Wd = 167.18 × Cos 30

Wd =  144.78 J

In conclusion, we can say that the work done is 144.78 J

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0.025 kg of water is fired from a water pistol with a speed of 230 m/s.
If the water pistol has a mass of 0.9 kg, what is the recoil speed of the
water pistol?
Show Your Work

Answers

The recoil speed of the water pistol, given that the mass of the water pistol is 0.9 Kg is -6.39 m/s

How do i determine the recoil speed of the water pistol?

The following data were obtained from the question:

Mass of water (m₁) = 0.025 KgSpeed of water (v₁) = 230 m/sMass of water pistol (m₂) = 0.9 KgRecoil speed of water pistol (v₂) = ?

The recoil speed of the water pistol can be obtained as illustrated below:

m₁v₁ = -m₂v₂

(0.025 × 230) = -(0.9 × v₂)

5.75 = -0.9v₂

Divide both sides by -0.9

v₂ = 5.75 / -0.9

v₂ = -6.39 m/s

Thus, we can conclude that the recoil speed is -6.39 m/s

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___ is the force that every object in the universe exerts on every other object

Answers

Answer: Gravitational force

why is it more difficult to steer a bike when your hands are close together on the handlebars than when they are far apart?

Answers

Answer:

When the hands are close together on the handlebars of a bike, the steering is more sensitive and requires more effort to make small adjustments. This is because the steering axis of the bike, which is an imaginary line passing through the center of the front wheel and the center of the steering tube, is shorter. This means that even small movements of the handlebars translate to larger changes in the direction of the front wheel.

On the other hand, when the hands are far apart on the handlebars, the steering is less sensitive and requires less effort to make adjustments. This is because the steering axis of the bike is longer, meaning that larger movements of the handlebars are required to achieve the same change in direction of the front wheel.

Overall, the sensitivity of the steering depends on the length of the steering axis, which in turn depends on the distance between the hands on the handlebars. Therefore, it is more difficult to steer a bike when the hands are close together on the handlebars than when they are far apart.

Explanation:

The AMA of the wedge is 4. If How do the force exerted on the wedge as time as the load.​

Answers

The AMA (mechanical advantage) of a wedge is given by the ratio of the length of the sloping side of the wedge to its width. If the AMA of the wedge is 4, it means that the length of the sloping side of the wedge is four times its width.

What is the AMA of a wedge?

The force exerted on the wedge depends on the load being lifted and the angle of the wedge; as the load increases, the force required to lift it also increases. However, the AMA of the wedge allows for the same load to be lifted with less force.

Force = Load / AMA

Hence, if the AMA of the wedge is 4, it means that the length of the sloping side of the wedge is four times its width.

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Blank provide us with the actual rocks from inside Earth. They are considered blank evidence of

Answers

Core samples provide us with the actual rocks from inside Earth. They are considered direct evidence of Earth's interior.

Rocks from the interior of the Earth are actually sampled via core samples. These are regarded as concrete proof of the interior of the Earth. Because they take a direct sample of the rocks that make up the layers that make up the Earth's surface and core, core samples provide clear proof of what is inside the planet.

Researchers can identify differences in weather patterns and climatic changes across time using geological core samples. Also, there may be proof of species, as well as the sedimentary make-up of lake and river beds, for instance. The dynamic character of the Earth's formation and how it changes through time are directly demonstrated by core samples. Where there are changes in the composition of the Earth can be determined thanks to seismic waves.

Seismograms can be used by geologists to determine the various components of the Earth's internal structure, such as which regions are solid, molten, or made of gases.

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Correct question is:

________ provide us with the actual rocks from inside Earth. They are considered ________ evidence of

The __weight_________ of the glass of water on the table is its force.

Answers

Answer: inertia

Explanation:

he glass of water has inertia — it will not move unless a big enough force acts on it. The force in this activity pulling on the glass of water is the friction between the tablecloth and the glass.

Would a flood plain form at point B? Why or why not?

Answers

Yes, the point B floodplain shape. Because the flat region next to the river, which continues until it reaches the neighboring sloping terrain, is the goal of producing flood fields.

These fields are often level areas of land close to rivers, which allows for easy flooding during rainy seasons. Flood damage is lessened by the comparatively low elevation of the flat ground. By establishing floodplains, we can lessen the likelihood of flooding and the devastation it causes.

A productive agricultural field that may be utilized to generate food and other resources, the level terrain also offers the perfect environment for growing crops.

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The question is -

Would a floodplain form at point B? Why or why not?

can i get help please

Answers

Answer: Binary fission

Explanation: Bacteria cells split into two using binary fission.

name five example of derived qualities​

Answers

Answer: 1. Intelligence

2. Creativity

3. Leadership

4. Empathy

5. Resilience

Explanation: NOW READ ONE PIECE MY SON

Which two statements describe force?

A. A force can be a push or a pull
B. Force cashes an objects motion to remain constant
C. Force is the ability to change an objects motion
D. A force can have mass or weight

Answers

Answer:

A. A force can be a push or pull

D. A force can have mass or weight

A. A force can be push or pull


Force is when is push or pull mass or weight of an object. This causes velocity, force represents as a vector, which means it has both magnitude and direction.

Answer question in the photo

Answers

The mass of an object on which force is exerted which displaces 8m of distance and changes its velocity from 0 to 7.18 m/s is m=F/3.22.

What is Newton's second law of motion?

Force(F) applied on the body is mass(m) times its acceleration(a).

i.e. F=ma

according to this equation we get acceleration as

a = F ÷ m this equation says that when we apply more force to the body, more acceleration it gets. When more is the mass of the body, greater force is needed to accelerate with same amount to that less mass.

Given,

Initial velocity u = 0 m/s

final velocity v= 7.18 m/s

Distance s = 8m

According to equation of kinematics,

v²=u²+2as

7.18²=2×8×a

a= 3.22 m/s²

F = ma

F= 3.22×m

m=F÷3.22

if force is given, we can calculate exact mass of an object.

Hence mass of an object is m=F/3.22.

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If a 100 kg car is moving at 5 m/s, does it have kinetic or potential energy? Calculate the energy.

Answers

Answer:

Kinetic energy with 1250 J of energy

Explanation:

Kinetic energy formula = [tex]\frac{1}{2}[/tex]m[tex]v^{2}[/tex]

Potential energy formula = mgh

Velocity is given so we'll use kinetic energy

[tex]\frac{1}{2}[/tex]*100*[tex]5^{2}[/tex] = 1250 J

When you switched the direction of the voltage on the battery the magnetic compass needle moved. Which of the following is the best explanation for the movement of the compass needle?

A- The copper wire magnetized the compass needle.

B- The compass needle magnetized the copper wire.

C- The current in the wire produced a magnetic field.

D- The compass needle moved due to the Earth's magnetic field and was unaffected by the electromagnet.

Answers

The correct explanation for the movement of the compass needle when the direction of the voltage on the battery is switched is (C) The current in the wire produced a magnetic field.

What is voltage?

Voltage, also known as electric potential difference, is a measure of the electric potential energy per unit of charge in an electrical circuit. It is the force that drives the flow of electric charge in a circuit. Voltage is usually measured in volts (V) and is represented by the symbol "V".

When an electric current flows through a wire, it creates a magnetic field around the wire. The direction of the magnetic field depends on the direction of the current flow.

This magnetic field interacts with the Earth's magnetic field and causes the compass needle to move. Therefore, as the direction of the current in the wire changes when the voltage on the battery is switched, the direction of the magnetic field around the wire also changes, causing the compass needle to move.

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If the diameter of the space station is 770 m, how many revolutions per minute are needed for the "artificial gravity" acceleration to be 9. 80m/s?

Answers

To calculate the number of revolutions per minute required to create artificial gravity of 9.80 m/s² in a space station with a diameter of 770 m, we can use the formula for centripetal acceleration: a = (v²)/r

Where a is the centripetal acceleration, v is the velocity of the space station, and r is the radius of the space station. In this case, we want to solve for v, so we can rearrange the formula as: v = sqrt(a * r). Plugging in the given values, we get: v = sqrt(9.80 m/s² * 385 m), v = 62.39 m/s. To convert this to revolutions per minute, we need to know the circumference of the space station, which is: C = 2 * π * r, C = 2 * 3.14 * 385 m, C = 2415.4 m. So the number of revolutions per minute is: rev/min = v / C, rev/min = 62.39 m/s / 2415.4 m/rev * 60 s/min, rev/min = 1.56 rev/min. Therefore, the space station needs to make 1.56 revolutions per minute to create artificial gravity of 9.80 m/s².

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What is the formula for distance, time and acceleration to get to speed

Answers

The equations of motion are:

[tex]v=u+at\\v^2=u^2+2as\\s=ut+\frac{1}{2}at^2[/tex]

Hence, the formula for distance (or displacement (s) ), time (t), and acceleration (a) to get to speed (u), is:

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

what is the mass, Fnet and Fapp?

Answers

Mass is a measure of an object's inertia, or resistance to changes in its motion. It is measured in kilograms (kg).

What is Mass?

Mass is a physical property of an object that measures the amount of matter it contains. It is measured in kilograms (kg) or in grams (g). Mass is different from weight, which is the measure of the force of gravity on an object. Mass is the same everywhere in the universe and is unaffected by gravity, while weight depends on gravity and can vary from place to place. Mass is an important concept in physics, as it is used to calculate energy, momentum, and other physical properties of an object.

Fnet (net force) is the sum of all the forces acting on an object. It is measured in Newtons (N).

Fapp (applied force) is the force that is applied to an object in order to change its motion. It is also measured in Newtons (N).

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What is a large, rocky or metallic object that revolves around the sun?

Answers

Answer:

Asteroids

Explanation:

this is an asteroid because there is an asteroid belt close or so what close to the sun.

do all questions 4, 5, and 6 please and thankyou

Answers

1. No, a portion of the innermost wave front shown in Figure 6 cannot be approximated by a plane wave because the wave front is curved, meaning that the wave does not travel in a straight line.

What is wave?

A wave is a disturbance that propagates through a medium, such as air, water, or a solid material. Waves are caused by a source of energy, such as a vibrating tuning fork or a stone thrown into a pond. Waves can also be generated by seismic activity, such as earthquakes. Waves are characterized by their wavelength (the distance between two successive crests or troughs), frequency (the number of waves generated per unit of time), and amplitude (the maximum displacement of the medium from its equilibrium position).

2. In Figure 7, the source of the ripple waves is moving to the right.
3. If the source of the waves in Figure 7 is stationary, then the ripple tank must be moving to the left.

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Which advantage of stored digital data could also be a disadvantage?
A. Stored digital data are reliable.
B. Systems have been developed to protect stored digital data.
OC. Information in stored digital data can be quickly changed.
D. Stored digital data can be copied perfectly time after time.

Answers

The advantage of stored digital data that could also be a disadvantage is:

C. Information in stored digital data can be quickly changed.

What is Digital Data?

Digital data is any information that is stored or transmitted in digital form, usually as a series of binary digits (bits). This includes text, images, audio, video, and other types of data that can be represented using a series of 0s and 1s. Digital data is often created and processed using computers and other digital devices, and can be stored and transmitted using various types of digital storage media and communication channels.

While the ability to quickly change information in stored digital data can be advantageous for updating or correcting errors, it can also be a disadvantage if the information is changed inappropriately or maliciously. This can lead to inaccurate or false information being disseminated, potentially causing harm or confusion. Additionally, the ability to quickly change information can make it difficult to verify the accuracy or authenticity of the data. Therefore, while the ability to quickly change information in stored digital data can be beneficial, it is important to use caution and employ proper security measures to ensure the accuracy and integrity of the data.

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Other Questions
30. When the polynomial f(x) = (p-1)x + px + qx +r, where p, q and r are constants, is divided by (x + 2) and (x - 1), the remainders are - 5 and 4 respectively. If (x + 1) is a factor of f(x), find the values of p, q and r. Hence, factorize f(x) completely. Suppose an economy produces steel, wheat, and oil. The steel industry produces $100,000 in revenue, spends $4,000 on oil, $10,000 on wheat, pays workers $80,000. The wheat industry produces $150,000 in revenue, spends $20,000 on oil, $10,000 on steel, and pays workers $90,000. The oil industry produces $200,000 in revenue, spends $40,000 on wheat, $30,000 on steel, and pays workers $100,000. There is no government. There are neither exports nor imports, and none of the industries accumulate or de-accumulate inventories. Calculate GDP using the production and income methods. PROMPT: In what ways did Jim Crow (the system of laws and the character) hinder the (political, social, economic,and/or legal) advancement of African Americans during the 20th century?CFS: 10 sentences+ (complete sentences and punctuation) Defines/describes both components of Jim Crow ACQC Style Includes 2+ pieces of textual evidence from Jim Crow Laws To identify by how much the cost of living has changed over time, economists calculate percentage change ina. The CPI b. Real GDPc. The GDP deflator d. Nominal GDP find the value of each variable using sine and cosine. Instructions: Select only ONE scenario from the three I have posted for "Assignment #1". Read the scenario and then use the information you have learned from this class, our class notes and any independent research you may want to use to reply to the questions listed below. Save your assignment, then upload to Blackboard within the Assignment 1 link. Please print your nam . Scenario: Congratulations you have just ascended to become your company's CEO - you are now at the top of a major electronics company operating at several locations around the world. Last year, under the watch of the previous CEO, your company suffered a large- scale recall which many people believe was not handled very well and many customers still view your company as having placed the company's interest above theirs. Today, you are within your first month on the job as CEO and unfortunately, the company just suffered another major crisis; a large transport airplane carrying over S1OM worth of your company's products just crashed into an apartment complex in a large U.S.city: National media is reporting that all 7 airplane crew members have died and at least 10 apartment residents are missing - including children: Also, there is growing environmental concern that your electronic parts may contaminate a near-by lake where the city gets water from, and, your investors have begun to sell-off your company's stock fearing large- scale financial losses. What should you do and why? 1. How do you want your company's, and your own actions, to be viewed (Obstructionist, Defensive, Accommodative or Proactive) and why? (basically, first decide how you want your company to be remembered as, what legacy do you want from this situation? This will guide your next actions). 2. Think about this scenario step-by-step, who do you have an obligation to first, second, third, and so on? 3. What can you depend on to give you a sense of what to do? (HINT: think about codes of conduct. core values and mission statements, etc.). 4. What else should you do? *I need to see 3-4 sentences per question here! Continue to next page. In-class Assignment ! Scenario B What are the factors that could guarantee maximum freedom for citizens? Please help me I dont want to fail Leslie is a biologist. She is going to randomly select one animal from her lab to study. There are 555 salamanders, 333 crayfish, and 121212 minnows in her lab.What is P(salamander)P(salamander)start text, P, left parenthesis, s, a, l, a, m, a, n, d, e, r, end text, right parenthesis? In which direction would you travel from Colombia, South America to the Gulf of Mexico? The scene of Wiesel and his father approaching the inferno is particularly vivid. How is such artistry achieved? A roller couster turns in a circular path that has a radius of 25 meters, what's the fastest Velocity the roller coaster can travel without exceeding a centripetal acceleration of 16m/s^2 John Deere expects the cost of a tractor part to increase by $10 per year beginning 4 years from now. If the cost in years 1-3 is $80, determine the present worth in year 0 of the cost through year 10 at an interest rate of 12% per year a culture of a certain bacteria is known to dpuble in number every 4 hr. if the culture has an initial count of 25, what will be the population of the culture at the end of the 24 hr? This is an excerpt from a memo sent by U.S. Secretary of the Treasury Henry Morgenthau to President Franklin D. Roosevelt on January 13, 1944.This [United States] government has for a long time maintained that its policy is to work out programs to save those Jews of Europe who could be saved. I am convinced on the basis of the information which is available to me that certain officials in our state department, which is charged with carrying out this policy, have been guilty not only of gross procrastination and willful failure to act, but even of willful attempts to prevent action from being taken to rescue Jews from Hitler.Based on this excerpt, how did the United States government respond to the Holocaust prior to 1944?A. It obstructed rescue opportunities and blocked the flow of Holocaust information.B. It used government departments to intervene on behalf of Jews.C. It collaborated with private organizations to rescue Jews.D. It initiated a global campaign to make the world aware of the Holocaust. Nathan asks his friends what fraction of an hour it takes each of them to get ro school. Use the data to create a line plot 4. In an experiment, 170.9 g of C_{2}*H_{4} was reacted with 52.75L of , 64.1 g of C*O_{2} is produced .What is the limiting reagent? ) What is the percent yield of this reaction? Anthony SoohooCo-founder and CEO of Dot & Bo"During my time as a product manager on Apple's PowerBook team, we weregearing up to launch a new product. As part of testing, we had found that avery small sample size was flawed and could be harmful. I was undertremendous pressure to make a decision on whether or not to hold off bringing the product tomarket. And there were good arguments on both sides."On the one hand, the defected sample size was small and not statistically significant, andmillions of dollars would be lost by holding off shipment. On the other hand, Soohoo believedthe long-term impact risk was high."If the flaw was bigger than we thought, it could have created a huge loss of trust with ourcustomers," he says.When there is a difficult decision to make, make it based on what would create long-term valueinstead of gaining the short-term win.Ultimately, Soohoo decided to delay the launch of the product. "In the end, it came down totaking a long-term perspective, and it just made more sense to delay the launch," he says."Putting myself in the shoes of our customers, I think that's what they would have expectedApple to do. Not a popular decision at the time, but it was the right decision for the business."The lesson: "Trust your gut to do the right thing for the customers. When there is a difficultdecision to make, make it based on what would create long-term value instead of gaining theshort-term win. That lesson has remained with me throughout my career."Identify- The Ethical Issue the leader faced- Identify 2 negative outcomes of the Ethical Dilemma Analyse and provide your opinion If 500. g of magnesium chloride is produced in the above reaction, how many grams of hydrogen gas would be produced? If someone is holding a briefcase normally, would the be doing any work when they lift it up to their shoulders?