Each of the five connected particles has a mass of 0.6 kg, with G as the center of mass of the system. At a certain instant the angular momentum of the system about G is 1.20k , and the x- and y-components of the velocity of G are 3 m/s and 4 m/s, respectively. Calculate the angular mom

Answers

Answer 1

The angular momentum of the system about G is 1.49k

To calculate the angular momentum of the system about the center of mass G, we can use the formula:

L = Iω,

where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.

Given that the mass of each particle is 0.6 kg and there are five particles, the total mass of the system is:

m_total = 5 × 0.6 kg = 3 kg.

The center of mass G has an x-component velocity of 3 m/s and a y-component velocity of 4 m/s.

Since the system is in motion, the angular velocity can be calculated as:

ω = v_perpendicular / r,

where v_perpendicular is the component of the velocity perpendicular to the position vector r.

Let's assume the particles are arranged in a regular pentagon, with G at the center.

The distance from each particle to G can be calculated using basic trigonometry:

r = (side length) / (2sin(π/5)),

where the side length can be found using the formula for the circumference of a regular polygon:

C = 2πr,

where C is the circumference.

Given that the angular momentum about G is 1.20k, the moment of inertia can be calculated using the equation:

L = Iω.

Rearranging the equation, we have:

I = L / ω.

Finally, we can substitute the values into the formulas and calculate the angular momentum:

Calculate the side length of the regular pentagon:

C = 2πr,

r = C / (2π),

r = (3 × 5) / (2π) = 7.64 m.

Calculate the angular velocity:

v_perpendicular = \(\sqrt{(v_x^2 + v_y^2)}\)

v_perpendicular = (\(\sqrt{3^{2} + 4^{2}}\)) = 5 m/s,

ω = v_perpendicular / r,

ω = 5 / 7.64 rad/s.

Calculate the moment of inertia:

I = L / ω,

I = 1.20k / (5 / 7.64) = 1.49k.

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Related Questions

Wire gages in an automobile generally range from gage 0 to gage ____.

A.
24

B.
18

C.
20

D.
30

Answers

Answer:

18 gauge

Explanation:

Standard automotive primary wire is 18 gauge. (internet search) Hope this helps

In a high-quality coaxial cable, the power drops by a factor of 10 approximately every 5 km. If the original signal power is 0.25 W (=2.5 x 10-1), how far will a signal be transmitted before the power is attenuated to 25 μW? As part of your answer, include a Table showing the signal power vs. distance in 5 km intervals. If optical fibre is used instead of the coaxial cable, briefly explain how you would expect the above calculated distance value to change. You are not required to include another Table.

Answers

Answer:

20 km for 40 dB loss80 km for 40 dB loss, or 10 dB loss for 20 km

Explanation:

Here's your table of (distance, power level):

  (0 km, 250 mW), (5 km, 25 mW), (10 km, 2.5 mW),

  (15 km, 250 μW), (20 km, 25 μW)

The signal can be transmitted 20 km before being attenuated to 25 μW.

__

Reportedly, the loss in fiber optic cable is about 0.5 dB/km. This compares to 10 dB/5 km = 2 dB/km for the coaxial cable. Loss in dB/km is a factor of 4 less for fiber optic cable, so the distance for the same loss would be multiplied by 4.

What is the mass per unit area of an 7 inch by 10 inch lead sheet that weighs 192 gm. ____________g / cm2

Answers

Answer:

M/A = 0.425 g/cm²

Explanation:

Given the following data;

Mass = 192 grams

Dimensions = 7 * 10 inches.

To find the mass per unit area;

First of all, we would determine the area of the lead sheet;

Area = 7 * 10

Area = 70 in²

Conversion:

1 square inch = 6.452 square centimeters

70  inches = 70 * 6.452 = 451.64 square centimeters

Next, we find the mass per unit area;

M/A = 192/451.64

M/A = 0.425 g/cm²

In an orthogonal cutting operation, the tool has a rake angle = 0°. The chip thickness before the cut= 0.30 mm and the cut yields a deformed chip thickness = 0.65 mm. Calculate (a) the shear plane angle and (b) the shear strain for the operation.

Answers

The shear plane angle is calculated as 49.4 degrees while the shear strain is given as 1.17

What is Shear Strain

Shear strain is a measure of deformation resulting from an applied force that is parallel to the surface of an object. It is usually expressed as a fractional change in the length of the object. Shear strain is a measure of the displacement of the surface points of an object in the direction perpendicular to the direction of the applied force.

The shear plane angle is the angle between the plane of shear stress and the normal to the plane of shear. It is typically measured in degrees and can range from 0 to 90 degrees.

(a) Shear plane angle = tan⁻¹((0.65-0.30)/0.30) = 49.4°

(b) Shear strain = (deformed chip thickness - initial chip thickness)/initial chip thickness

Substituting the values into the formula;

Shear Strain = (0.65-0.30)/0.30 = 1.17

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steel-frame construction has been likened to ____.

Answers

Steel-frame construction has been likened to "Mechano"

Steel-frame construction has been likened to a game of erector sets, where the pieces are prefabricated in a factory and then transported to the construction site for assembly.

This comparison highlights the efficiency and precision of the steel-frame construction process, which allows for buildings to be erected quickly and with minimal waste.

Additionally, steel is a strong and durable material that can withstand extreme weather conditions and seismic activity, making it a popular choice for modern buildings.

Overall, the use of steel in construction has revolutionized the industry and helped to create innovative and sustainable structures.

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If chestnut hair (E) is dominant over black hair (e), can two horses with black hair produce an offspring with chestnut hair? Explain your answer.

Answers

Answer:

No, the offspring of two black horses cannot have chestnut hair. Since the black hair allele is recessive, both parents have to be hz recessive and do not carry the dominant chestnut hair allele. The only allele the parents can pass back to their offspring is the black allele.

Explanation:

Edg. 2022

Answer: The offspring of two black horses cannot have chestnut hair. Since the black hair allele is recessive, both parents have to be his recessive and do not carry the dominant chestnut hair allele. The only allele the parents can pass back to their offspring is the black allele.

Explanation:

The spd grounding conductor must be installed according to the manufacturer's instructions.

a. True
b. False

Answers

It is TRUE to state that the SPD grounding conductor must be installed according to the manufacturer's instructions.

What is an SPD Grounding Conductor?

An SPD (Surge Protective Device) grounding conductor refers to the dedicated conductor used to establish a low-resistance path for electrical surges to safely discharge into the ground.

It connects the surge protective device to an effective grounding system, helping to redirect and dissipate potentially damaging transient voltage spikes or surges.

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Salma used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy: The ratio of AD:EH is 1:2. What is the length, in meters, of side GH on the photocopied image

Answers

Since the photocopy was a dilatation and the ratio of AD:EH is 1:2, side GH on the duplicated image is the same length as side AD on the original design. As a result, side GH's length is the same as side AD's length.

The length of side GH in the photocopy is equal to the length of side AD in the original design when a monorail track system is enlarged through the use of a photocopier.

This is owing to the fact that the ratio of AD to EH is specified as 1:2, indicating that during dilation, matching sides are scaled by a factor of 2.

Thus, the proportional relationship created by the dilation process is maintained because side GH on the photocopied picture is the same length as side AD was in the original design.

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Which of the following is static characteristics of measurement?

Answers

Unwanted static traits in measurement systems include drift, static inaccuracy, dead zone, and non-linearity.

Which one of the following does not describe a measurement system's static characteristics?

Explanation:Sincerity is not a fixed quality.It is an element of an instrument's dynamic.In terms of measurements, fidelity relates to how accurate a number is when compared to a quantity that hasn't experienced any dynamic mistakes.

What qualities does measuring have?

It offers a definition for each of the five key attributes of a measuring device: scale length, sensitivity, accuracy, "finesse," and response time.

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The irreversible losses in the penstock of a hydroelectric dam are estimated to be 7 m. The elevation difference between the reservoir surface upstream of the dam and the surface of the water exiting the dam is 140 m. If the flow rate through the turbine is 4000 L/min, determine (a) the power loss due to irreversible head loss, (b) the efficiency of the piping, and (c) the electric power output if the turbine-generator efficiency is 84 percent.

Answers

Answer:

a) the power loss due to irreversible head loss is 4.57 kW

b) the efficiency of the piping is 95%

c) the electric power output is 72.9918 kW

Explanation:

Given the data in the question below;

Irreversible loses \(h_L\) = 7m

Total head, H = 140 m

flow rate Q = 4000 L/min = 0.0666 m³/s

Generator efficiency n₀ = 84% = 0.84

we know that density of water is 1000 kg/m³

g = 9.81 m/s²

a) power loss due to irreversible head loss \(P_L\) is;    

\(P_L\) = p × Q × g × \(h_L\)

we substitute

\(P_L\) = 1000 × 0.0666 × 9.81 × 7

\(P_L\) = 4573.422 W

\(P_L\) = 4573.422 / 1000

\(P_L\) = 4.57 kW

Therefore, the power loss due to irreversible head loss is 4.57 kW

b) the efficiency of the piping n is;

n = (Actual head / maximum head) × 100

n = (( H - \(h_L\) ) / H) × 100

so we substitute

n = (( 140 - 7 ) / 140) × 100

n = (133/140) × 100

n = 0.95 × 100

n = 95%

Therefore, the efficiency of the piping is 95%

c) the electric power output if the turbine-generator efficiency is 84 percent;

n₀ = \(Power_{outpu\) / \(power_{inpu\)

\(Power_{outpu\) = n₀ × \(power_{inpu\)

\(Power_{outpu\) = n₀ × ( pQg( H - \(h_L\) ))

so we substitute

\(Power_{outpu\) = 0.84 × ( 1000 × 0.0666 × 9.81( 140 - 7 ))

\(Power_{outpu\) = 0.84 × 653.346( 133)

\(Power_{outpu\) = 0.84 × 86895.018

\(Power_{outpu\) = 72991.815 W

\(Power_{outpu\) = 72991.815 / 1000

\(Power_{outpu\) = 72.9918 kW

Therefore, the electric power output is 72.9918 kW

On a day in which the local atmospheric pressure is 99.5 kPa, answer each of the following: (a) Calculate the column height of mercury in a mercury barometer in units of meters, feet, and inches. (b) Francis is concerned about mercury poisoning, so he builds a water barometer to replace the mercury barometer. Calculate the column height of water in the water barometer in units of meters, feet, and inches. (c) Explain why a water barometer is not very practical. (d) Ignoring the practicality issue, which of the two (mercury or water) would be more precise

Answers

Answer:

C . . . . . . . . . . . . . . . . . . . . . .

(a) The column height of mercury in a mercury barometer is 7.32 meters, or 24.0 feet, or 95.2 inches.

What is the column height?

(b) The column height of water in a water barometer is 995 meters, or 3268 feet, or 33.9 feet.

(c) A water barometer is not very practical because it would need to be very tall to measure atmospheric pressure.

(d) Ignoring the practicality issue, a mercury barometer would be more precise because mercury is denser than water.

Mercury barometer: 7.32 m, 24 ft, 95.2 in

Water barometer: 995 m, 3268 ft, 33.9 ft

Water barometer not practical because it would be too tall

Mercury barometer more precise because mercury is denser

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Hey guys can anyone list chemical engineering advancement that has been discovered within the past 20 years

Answers

Top 10 Emerging Technologies in Chemistry
Nanopesticides. The world population keeps growing. ...
Enantio selective organocatalysis. ...
Solid-state batteries. ...
Flow Chemistry. ...
Porous material for Water Harvesting. ...
Directed evolution of selective enzymes. ...
From plastics to monomers. ...

Which of the following is not a runtime exception in java?
a. NullPointerException
b. ArraylnderOutOfBoundException
c. ArithmeticException
d. ClassNotFoundException

Answers

Option (d) ClassNotFoundException is not a runtime exception in Java. ClassNotFoundException is a checked exception in Java, which means that it must be either handled or declared in the method signature using the throws keyword.

Runtime exceptions are a type of exception that can occur at any point during program execution and are not checked at compile time. ClassNotFoundException, on the other hand, is a checked exception that occurs when the JVM tries to load a class at runtime, but the class cannot be found or accessed. This can occur when the class file is missing, the class is in a different package, or there is a problem with the classpath. Checked exceptions are typically used for errors that can be anticipated and handled by the program, unlike runtime exceptions which usually indicate a bug or error in the program logic. The other options - a. NullPointerException, b. ArraylnderOutOfBoundException, and c. ArithmeticException - are all runtime exceptions in Java.

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What force do mechanical anchors use to create their holding strength?Select one:a. Expansionb. Gravityc. Mechanicald. Thrust

Answers

Mechanical anchors rely on expansion to create their holding strength. When the anchor is inserted into a hole, the expansion mechanism (usually in the form of a sleeve or cone) expands to grip the sides of the hole tightly, creating a secure hold. This expansion creates a mechanical interlock between the anchor and the surrounding material, giving it its strength. It is important to note that the expansion force may vary depending on the type of anchor being used and the type of material it is being installed into.  mechanical anchors work and create their holding strength as there are various types of mechanical anchors and different factors that can affect their performance.


Mechanical anchors create their holding strength by expanding within the material they are installed in. When tightened, the anchor expands against the sides of the hole, creating friction and a secure connection.

Mechanical anchors, also known as expansion anchors, work by utilizing the force of expansion. Once inserted into a pre-drilled hole in the material (such as concrete or masonry), the anchor is tightened. As it tightens, the anchor expands and presses against the sides of the hole. This creates friction and a secure connection, allowing the anchor to hold heavy loads.

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The amount of torque produced by the motor , operating at rated voltage and frequency , at the instant the load the motor to stall is called

Answers

The amount of torque produced by a motor at the instant the load causes it to stall is called the "stall torque." When a motor operates at its rated voltage and frequency, it is designed to deliver a specific amount of torque to drive the load it is connected to.

Torque is the rotational force exerted by the motor to generate motion or maintain the position of the load. The motor's ability to produce torque depends on factors such as its design, construction, and power supply.

Under normal operating conditions, the motor generates torque that is sufficient to overcome the load and maintain rotation. However, when the load exceeds the motor's torque capability, the motor reaches its maximum torque output, known as the stall torque. At this point, the motor cannot produce enough torque to continue rotating, and it comes to a halt or stalls.

The stall torque is a crucial parameter in motor specifications as it provides information about the motor's ability to handle heavy loads or start-up conditions where a high torque is required. It represents the maximum torque output that the motor can generate when it is unable to overcome the load and maintain rotation.

Motor manufacturers provide stall torque ratings in motor datasheets or technical specifications. It is important to consider the stall torque when selecting a motor for applications where the load demands high starting torque or requires the motor to handle heavy loads without stalling.

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A wheel tractor-scraper is operating on a 3% adverse grade. Assume
that no power derating is required for equipment condition, altitude,
and temperature. Use equipment data from Figure 6.10.
Disregarding traction limitations, what is the maximum value of
rolling resistance (in lb per ton) over which the empty unit can
maintain a speed of 15 mph?

Answers

The empty wheel tractor-scraper can maintain a speed of 15 mph on a 3% adverse grade as long as the rolling resistance is less than or equal to 1102 lb per ton.

What is traction?

Traction is basically the action of drawing or pulling something over a surface, especially a road or track.

From Figure 6.10, we can find the horsepower-to-weight ratio (HP/T) of the empty wheel tractor-scraper at a speed of 15 mph on a 3% adverse grade. For a 631G wheel tractor-scraper, the HP/T is approximately 0.045.

The rolling resistance (Rr) can be calculated using the equation:

Rr = (M x g x %grade) / V

Where M is the weight of the empty wheel tractor-scraper in tons, g is the acceleration due to gravity (32.2 ft/s²), %grade is the grade expressed as a decimal (3% = 0.03), and V is the speed in mph.

Assuming the weight of the empty wheel tractor-scraper is 46 tons (92,000 lb), we can calculate the maximum value of rolling resistance as follows:

Rr = (46 * 2000 * 32.2 * 0.03) / 15

Rr = 1102 lb

Thus, the answer is 1102 lb.

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Your question seems incomplete, the probable complete question is:

A wheel tractor-scraper is operating on a 3% adverse grade. Assume that no power derating is required for equipment condition, altitude, and temperature. Use equipment data from Figure 6.10. Disregarding traction limitations, what is the maximum value of rolling resistance (in lb per ton) over which the empty unit can maintain a speed of 15 mph?

A wheel tractor-scraper is operating on a 3% adverse grade. Assumethat no power derating is required

What is An ampere is

Answers

Answer:

the SI base unit of electrical current.

Answer:

An ampere is the SI base unit of electrical current

c) Three AC voltages are as follows:
e1 = 80 sin ωt volts;
e2 = 60 sin (ωt + π/2) volts;
e3 = 100 sin (ωt – π/3) volts.
Find the resultant e of these three voltages and express it in the form
Em sin (ωt ± φ). [5 MARKS]
When this resultant voltage is applied to a circuit consisting of a 10-Ω resistor and a capacitance of 17.3 Ω reactance connected in series, find an expression for the instantaneous value of the current flowing, expressed in the same form. [4 MARKS]

Answers

Answer:

E = 132.69 sin(ωt -11.56)

i(t) = 6.64 sin (ωt +48.44) A

Explanation:

given data

e1 = 80 sin ωt volts                       80 < 0

e2 = 60 sin (ωt + π/2) volts          60 < 90

e3 = 100 sin (ωt – π/3) volts        100 < -60

solution

resultant will be  = e2 + e2 + e3

E =  80 < 0 + 60 < 90 + 100 < -60

\(\bar E\) = 80 + j60 + 50 - j50\(\sqrt{3}\)

\(\bar E\) = 130 + (-j26.60)

\(\bar E\) = 132.69  that is less than -11.56

so

E = 132.69 sin(ωt -11.56)

and

as we have given the impedance

z = (10-j17.3)Ω

z = 19.982 < -60

and

i(t) = \(\frac{132.69}{19.982}\) sin(ωt -11.56 + 60)  

i(t) = 6.64 sin (ωt +48.44) A

A company wants to develop audio speakers using an inexpensive type of plastic that has a very high quality of sound output. Which customers would most likely give a high evaluation of this product?

Answers

Answer:A

Explanation:

Those who want to save money and will use the product for only a few years

Answer:

THE ANSWER is A - those who want to save money and will use the product for only a few years

Explanation: Got it right on edg 2021

A regulator is required on a nitrogen cylinder to

Answers

A regulator is required on a nitrogen cylinder in order to reduce very high pressure within the gas cylinder to a safer pressure.

What is a regulator?

A regulator can be defined as a mechanical device that is designed and developed to ensure that a controlled amount of nitrogen gas is supplied from a gas cylinder.

This ultimately implies that, a regulator is required on a nitrogen cylinder in order to reduce very high pressure within the gas cylinder to a safer pressure.

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A particle moving on a straight line has acceleration a = 5-3t, and its velocity is 7 at time t = 2. If s(t) is the distance from, the origin, find s(2)-S(1).

Answers

Given acceleration a = 5-3t, and its velocity is 7 at time t = 2, the value of s2 - s1 = 7

How to solve for the value of s2 - s1

We have

= \(\frac{dv}{dt} =v't = 5-3t\\\\\int\limits^a_b {v'(t)} \, dt\)

\(= \int\limits^a_b {(5-3t)} \, dt\)

\(5t - \frac{3t^2}{2} +c\)

v2 = 5x2 -  3x2 + c

= 10-6+c

= 4+c

\(s(t) = \frac{5t^2}{2} -\frac{t^3}{2} +3t + c\)

S2 - S1

\(=(5*\frac{4}{2} -\frac{8}{2} +3*2*c)-(\frac{5}{2} *1^2-\frac{1^2}{2} +3*1*c)\)

= 6 + 6+c - 2+3+c

12+c-5+c = 0

7 = c

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oscilloscopes have parallel metal plates inside them to deflect the electron beam. these plates are called the deflecting plates. typically, they are squares 3.0 cm on a side and separated by 5.0 mm, with very thin air in between.

Answers

These plates are typically squares that measure 3.0 cm on each side and are separated by a distance of 5.0 mm. The reason for this separation is to allow for a very thin layer of air between the plates.


When a voltage is applied to the deflecting plates, they create an electric field between them, which in turn affects the path of the electron beam. The magnitude and direction of the voltage applied to the plates determines the amount and direction of deflection that the electron beam undergoes. This allows the oscilloscope to display a graphical representation of the electrical signals it is measuring.

Overall, the deflecting plates are a crucial component of the oscilloscope, as they allow for precise and accurate measurements of electrical signals.

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he following is true for a Function Generator (select all that apply): Select one or more: a. It produces a variety of patterns of voltage in adjustable range of frequencies and amplitudes. b. Its main use is to provide input signals to circuits to test the response to known signals. c. It can deliver the set voltage level of the signal waveform to any load connected to its outputs without any attenuation. d. It can measure peak to peak voltage of sine waves. e. Some of common useful signal it can generate include sine, square, pulse, triangular, sawtooth waveforms.

Answers

Answer:

A,C and E

Explanation:

It should be understood that a function generator can be explained as a piece of electronic test equipment or software which is used in generating different types of electrical waveforms over a wide range of frequencies. It should be noted that some of the examples of waveforms produced by the function generator are the sine wave, square wave, triangular wave and sawtooth shapes.

Therefore, the reason why of picking the options as highlighted above.

when a parent class contains a private data field, the field is ____________________ in the child class. a. read-only b. hidden c. public d. directly accessible

Answers

The correct answer is Option B) hidden. When a parent class contains a private data field, the field is hidden in the child class.

How is the private data field treated in the child class?

When a parent class contains a private data field, the field is hidden in the child class. This means that the child class cannot directly access or modify the private field of the parent class. Private members are intended to be accessible only within the class that defines them, and they are not inherited by child classes. In object-oriented programming, the concept of encapsulation allows us to control the visibility and accessibility of class members. By declaring a data field as private in the parent class, we restrict its visibility to that class only.

As a result, the child class cannot access the private field directly, nor can it modify its value. However, it is important to note that private data fields in the parent class can still have an impact on the behavior of the child class. They can be indirectly accessed and modified through public or protected methods provided by the parent class. These methods act as an interface for interacting with the private data, allowing controlled access to and manipulation of the field's value.

Therefore, the correct answer is Option B) hidden.

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Which of these is the number of degrees of crankshaft rotation for which the valve is
lifted off the seat?
A. Duration
B. Lift
C. Overlap
D. Underlap

Answers

It would be B because when you lift the sit
The answer to that will be B: Lift

Two identical billiard balls can move freely on a horizontal table. Ball a has a velocity V0 and hits balls B, which is at rest, at a point C defined by θ=45°. knowing that the coefficient of restitution between the two balls is e=0.8 and assuming no friction , determine the velocity of each ball after impact?

Answers

Answer:

Velocity of ball B after impact is \(0.6364v_0\) and ball A is \(0.711v_0\)

Explanation:

\(v_0\) = Initial velocity of ball A

\(v_A=v_0\cos45^{\circ}\)

\(v_B\) = Initial velocity of ball B = 0

\((v_A)_n'\) = Final velocity of ball A

\(v_B'\) = Final velocity of ball B

\(e\) = Coefficient of restitution = 0.8

From the conservation of momentum along the normal we have

\(mv_A+mv_B=m(v_A)_n'+mv_B'\\\Rightarrow v_0\cos45^{\circ}+0=(v_A)_n'+v_B'\\\Rightarrow (v_A)_n'+v_B'=\dfrac{1}{\sqrt{2}}v_0\)

Coefficient of restitution is given by

\(e=\dfrac{v_B'-(v_A)_n'}{v_A-v_B}\\\Rightarrow 0.8=\dfrac{v_B'-(v_A)_n'}{v_0\cos45^{\circ}}\\\Rightarrow v_B'-(v_A)_n'=\dfrac{0.8}{\sqrt{2}}v_0\)

\((v_A)_n'+v_B'=\dfrac{1}{\sqrt{2}}v_0\)

\(v_B'-(v_A)_n'=\dfrac{0.8}{\sqrt{2}}v_0\)

Adding the above two equations we get

\(2v_B'=\dfrac{1.8}{\sqrt{2}}v_0\\\Rightarrow v_B'=\dfrac{0.9}{\sqrt{2}}v_0\)

\(\boldsymbol{\therefore v_B'=0.6364v_0}\)

\((v_A)_n'=\dfrac{1}{\sqrt{2}}v_0-0.6364v_0\\\Rightarrow (v_A)_n'=0.07071v_0\)

From the conservation of momentum along the plane of contact we have

\((v_A)_t'=(v_A)_t=v_0\sin45^{\circ}\\\Rightarrow (v_A)_t'=\dfrac{v_0}{\sqrt{2}}\)

\(v_A'=\sqrt{(v_A)_t'^2+(v_A)_n'^2}\\\Rightarrow v_A'=\sqrt{(\dfrac{v_0}{\sqrt{2}})^2+(0.07071v_0)^2}\\\Rightarrow \boldsymbol{v_A'=0.711v_0}\)

Velocity of ball B after impact is \(0.6364v_0\) and ball A is \(0.711v_0\).

Which of the following will return a tuple of length 1 , i.e. if the returned output is a then type(a) will return tuple and len(a) will return 1 tuple([1]) (5, (3) (1,2)[1] (1,2)[:1] (1,2)[−1:] (1,2)[1:1]

Answers

The expression that will return a tuple of length 1 is: tuple([1]).

The expression `tuple([1])` creates a tuple from a list containing a single element, which is the integer `1`. The `tuple()` function takes an iterable as an argument and converts it into a tuple. In this case, the iterable is `[1]`, which is a list with one element.

By calling `tuple([1])`, the list `[1]` is converted into a tuple, resulting in `(1,)`. The comma at the end of `(1,)` is necessary to differentiate it from the parentheses used for grouping in expressions.

To verify that the resulting object is indeed a tuple of length 1, you can use the `type()` and `len()` functions:

```python

a = tuple([1])

print(type(a))  # Output: <class 'tuple'>

print(len(a))   # Output: 1

```

The `type(a)` will return `<class 'tuple'>`, indicating that `a` is a tuple. The `len(a)` will return `1`, indicating that the tuple `a` has a length of 1.

Therefore, the expression `tuple([1])` satisfies the condition of returning a tuple of length 1, as mentioned in the question.

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When we drive our car at 90 feet per second​ [ft/s], we measure an aerodynamic force​ (called drag) of 59 ​pounds-force ​[lbf​] that opposes the motion of the car. How much horsepower​ [hp] is required to overcome this​ drag?

Answers

Answer:

P = 9.65 hp

Explanation:

Given that,

Speed of a car, v = 90 ft/s

Force that opposes the motion of the car, F = 59 pounds-force

90 ft/s = 27.432 m/s

1 pound-force = 4.448 N

59 pounds-force = 262.445 N

Power required is given by :

\(P=F\times v\\\\P=262.445\ N\times 27.432\ m/s\\\\P=7199.391\ W\)

Since, 1 hp = 745.7

7199.391 W = 9.65 hp

So, 9.65 hp of power is required to overcome the drag.

Can space debris take out a whole state

Answers

Yes depends how big the debris is

I need help on this ASAP PLZ?

I need help on this ASAP PLZ?

Answers

Answer:

Explanation:

7. False

8. True

9. True

10.True

11. True

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