The shaft is supported by a smooth thrust bearing at a and a smooth journal bearing at
b. determine the resultant internal loadings acting on the cross section at
c. 600n/m b c lm -lsml sm 900

Answers

Answer 1

The resultant internal loading acting on the cross section of C are Normal force of 0 N, Shear force of 233.33 N and Bending moment of 433.325 N.

We know that Moment = Force * Distance.

Given that,

Force along span C = 600 N / m

First chart a free body diagram as shown in Fig 1.

The distributed load along span c is replaced by a point load F at its midpoint.

Force at midpoint of span C = 600 * 2 N

Take moments about point A

Σ [tex]M_{A}[/tex] = 0

-600 * ( 2 ) * [ 1 + ( ( 1 + 1 ) / 2 ) ] + [tex]B_{y}[/tex] ( 4.5 ) - 900 ( 6 ) = 0

- 2400 + 4.5 [tex]B_{y}[/tex] - 5400 = 0

[tex]B_{y}[/tex] = 1733.33 N

Consider a section at Point C and draw a free body diagram as shown in Fig 2.

In fig 2,

[tex]V_{C}[/tex] = Shear force at point C

[tex]N_{C}[/tex] = Normal force at point C

[tex]M_{C}[/tex] = Bending moment at point C

Applying equilibrium condition to the system. Consider equilibrium of Forces along X direction

Σ [tex]F_{x}[/tex] = 0

[tex]N_{C}[/tex] = 0 N

Consider equilibrium of Forces along Y direction

Σ [tex]F_{y}[/tex] = 0

[tex]V_{C}[/tex] - 600 ( 1 ) + [tex]B_{y}[/tex] - 900 = 0

[tex]V_{C}[/tex] = 600 - 1733.33 + 900

[tex]V_{C}[/tex] = 233.33 N

Take moment about point C

Σ [tex]M_{C}[/tex] = 0

- [tex]M_{C}[/tex] - 600 ( 1 ) ( 1 / 2 * 1 ) +  [tex]B_{y}[/tex] ( 2.5 ) - 900 ( 4 ) = 0

- [tex]M_{C}[/tex] - 300 + 2.5 ( 1733.33 ) - 3600 = 0

[tex]M_{C}[/tex] = 433.325 N

The resultant internal loading acting on the cross section are Normal force, Shear force and Bending moment

Therefore, The resultant internal loading acting on the cross section of C are as follows

Normal force [tex]N_{C}[/tex] = 0 N

Shear force [tex]V_{C}[/tex] = 233.33 N

Bending moment [tex]M_{C}[/tex] = 433.325 N

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The Shaft Is Supported By A Smooth Thrust Bearing At A And A Smooth Journal Bearing At B. Determine The
The Shaft Is Supported By A Smooth Thrust Bearing At A And A Smooth Journal Bearing At B. Determine The

Related Questions

You are looking at yourself in a plane mirror, a distance of 3 meters from the mirror. your brain interprets what you are seeing in the mirror as being a person standing ______ meters from you.

Answers

You are looking at yourself in a plane mirror, a distance of 3 meters from the mirror. your brain interprets what you are seeing in the mirror as being a person standing 6 meters from you.

Calculation

The plane mirror shows an exact replica of the real world. that means the distance of you from the mirror is the same distance as your reflection form the mirror at the opposite side of the mirror.

Thus, distance of image from the plane mirror is same as the distance of object (person) from the plane mirror but the image is formed behind the mirror.

Thereby we have v=u=3 m

Thus, distance between image and the person

is d = v + u = 3 + 3 = 6 m

Thus, the person is 6 meters away from the image.

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The earth diamiter is about 3 and 2 thirds times the diamiter of the moon. what is the angular diamiter of the earth seen by an oveserver on the moon?

Answers

The angular diameter of the Earth from the surface of the Moon is, between a=1.80226° (at apogee and the Earth is near the horizon) and a=2.02452° (at perigee and for an observer at the equator and when the Earth is at maximum altitude on the meridian)

We calculate the angular diameter of the Earth using the equation:

a=arctanD/d

where a is the angular diameter, D is the physical diameter of the Earth, and d is the distance from the Moon to the Earth.

The equatorial radius of the Earth is rE=6378.1km, the diameter is therefore

D=2×rE=12756.2.

   The mean distance to the Moon is d=384399km. This gives a (mean) angular diameter of a=1.90065°.

At Perigee the distance is d=362,600km. This gives an angular diameter of a=2.01482°

At Apogee the distance is d=405,400km. This gives an angular diameter of a=1.80226°

These Moon-Earth distances are as seen from the centre of the Moon. To calculate the diameter from the surface of the Moon, to subtract the position of the observer along the Moon-Earth axis.

If the observer is on the Moon's equator and the Earth is at zero-hour angle, the distance to the Earth needs to be subtracted by rM=1738.14km. Thus, we have;

 The mean distance to the Moon is d=384399−1738=382661km, giving an angular diameter of a=1.90928°.

At Perigee the distance is d=362600−1738=360862km. We have an angular diameter of a=2.02452°

At Apogee the distance is d=405400−1738=403662km. We have an angular diameter of a=1.81001°

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Calculate the wavelengths in air at 20∘c for sounds in the maximum range of human hearing. The speed of sound in air is 343 m/s.

Answers

The wavelengths in air is 8.8x10^-6 m for sounds in the maximum range of human hearing.

Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

The following equation can be used to compute wavelength: wavelength = wave velocity/frequency. In most cases, wavelength is measured in metres. Greek letter lambda is used to represent wavelength, so = v/f.

speed = wavelength x frequency or wavelength = speed / freq

for f = 20Hz, wavelength = 343m/s / 2.0 x 10^1 Hz = 17.2m

for f = 20,000 Hz, wavelength = 343m/s / 20,000Hz = 0.017 m

39MHz = 39x10^6 Hz so wavelength = 343m/s / 39x10^Hz = 8.8x10^-6 m

Hence, the wavelengths in air is 8.8x10^-6 m

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Suppose you push to the right on a heavy piece of furniture but not hard enough to make it slide. does a friction force act on the furniture?

Answers

Yes, a friction force to the right acts on the furniture.

What do you mean by friction force?

The force preventing solid surfaces, fluid layers, and material components from sliding past one another are known as friction. When surfaces in contact move past one another, the friction between the two surfaces transforms kinetic energy into thermal energy (that is, it converts work to heat). As demonstrated by the utilization of friction produced by rubbing pieces of wood together to start a fire, this feature can have dramatic effects. Every time there is motion with friction, such as when a viscous fluid is agitated, kinetic energy is transformed into thermal energy. Wear is a significant side effect of several types of friction that can result in deteriorated performance or component damage. The discipline of tribology includes friction.

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If a 390 n force f1 is applied to the piston with the 4 cm diameter, what is the magnitude of the force f2? neglect the weight of the pistons.

Answers

Given, Force = 390 N

Diameter of piston (1) = 4 cm

Diameter of piston (1) = 10 cm

now,

By using Pascal's Law which that states that " a pressure change at any point in a confined incompressible fluid is transmitted throughout the fluid such that the same change occurs everywhere", i.e. force per unit area is constant at any point in a confined incompressible fluid flow.

Mathematically, [tex]p=\frac{F1}{A1} = \frac{F2}{A2}[/tex]

where P is pressure at any point in a confined incompressible fluid

F1 and F2 = Force at point 1 and 2 respectively

A1 and A2 = Area of point 1 and 2

So,  [tex]F2 = \frac{F1}{A1} * A2[/tex]

[tex](A1 = \frac{\pi D1^{2} }{4} )\\(A2= \frac{\pi D2^{2} }{4} )[/tex]

[tex]F2 = 390 * \frac{\frac{\pi D2^{2} }{4} }{\frac{\pi D1^{2} }{4} }[/tex]

[tex]F2 = \frac{390}{4*4} * 10^{2}[/tex]

F2 = 2437 N

The magnitude of the force f2 is 2437 N

The given question is complete, complete question is...

"If a 390 N force F1 is applied to the piston with the 4 cm diameter, what is the magnitude of the force F2 that can be resisted by the piston with the 10 cm diameter? Neglect the weights of the pistons."

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What is the magnitude of a point charge in coulombs whose electric field 51 cm away has the magnitude 2.5 n/c?

Answers

The magnitude of a point charge is 0.189 x 10⁻⁹C.

Steps

We have stated that the point charge's electric field is E=2.5 N/C.

Distance from point charge R = 51 cm = 0.51 m

We are aware that the electric field resulting from a point charge is given as E = 1 / 4π∈₀ × Q / R²

so 2.5 = 9 x 10⁹ Q/ 0.68²

The magnitude of a point charge is 0.189 x 10⁻⁹C.

The electric force per unit charge is referred to as the electric field. It is assumed that the field's direction corresponds to the force it would apply to a positive test charge.

From a positive point charge, the electric field radiates outward, and from a negative point charge, it radiates in.

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A particle is moving along a projectile path at an initial height of 96 feet with an initial speed of 16 feet per second. this can be represented by the function h(t) = −16t2 16t 96. what is the maximum height of the particle? 100 feet 96 feet 60 feet 56 feet

Answers

The maximum height of the particle is 100feet

Calculation

Applying linear motion equations,

v^2 = u^2 - 2as

v = final velocity

u = initial velocity

g = acceleration due to gravity

s = height travelled

At max height,

velocity = 0 i.e. V=0,  initial velocity u = 16ft/sec

g = 32ft/[tex]sec^{2}[/tex]

so we have

0 = [tex]u^{2}[/tex] -2gs

S = [tex]u^{2}[/tex]/2g

= 16*16/2*32

= 4 feet

So maximum height = initial height + height travelled

= 96 + 4 = 100 feet

What is the maximum height and range formula?

The range is u2sin2g and the needed value of the maximum height is u2sin2g. Not to be confused with flying time is the maximum height attained.

What is the highest point?

Maximum Height refers to a structure or sign’s highest point as measured from the average natural ground level at the base of the supporting structure.

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Answer:

100 feet

Explanation:

One kilogram equals 1000 grams. one milligram equals 0.001 grams. how many milligrams are in one kilogram?

Answers

By conversion unit, 1 kilogram is equal to 10⁶ milligrams or 1000000 milligrams.

We need to know about a conversion unit to solve this problem. Kilogram is the SI unit for length but there are other units which able to determine the length such as gram and milligram. The conversion unit of milligram to kilogram is

1 mg = 10¯⁶ kg

1 mg = 0.000001 kg

From the question above, we know that the question is converting 1 kg to 1 mg, Hence

1 mg = 10¯⁶ kg

multiply by 10⁶

1 kg = 10⁶ mg

or we can write

1kg = 1000000 mg

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Which is an electronic tool that can be used to improve science?

Answers

Answer:

Telescope, Probware, etc,..

Answer: probeware

Explanation:

the answer is probeware

if you mean by the options,

A. a ruler

B. a thermometer

C. a beaker

D. probeware

Find the area under the standard normal curve to the right of z=0.49. round your answer to four decimal places, if necessary.

Answers

Left of z = 0.49 and right of z = 2.05, the area underneath the standard normal curve is equal to 0.7081.

What is  the standard normal curve?

The horizontal axis is approached by the standard normal bend as it extends indefinitely both in directions without ever being touched by it. The center of the bell-shaped, z=0 standard normal curve. Between z=3 and z=3, almost the entire area underneath the standard normal curve is located.

Use of the standard normal curve:

Use the normal distribution's standard form to calculate probability. Since the standard normal distribution is indeed a probability distribution, the probability that a variable will take on a range of values is indicated by area of the curve between two points. 100% or 1 is the total area beneath the curve.

According to the given data:

the region to the left of the standard normal curve,

z=0.49

To the right of,

z = 2.05

So,

The area will be:

= P[z < 0.49] + P[ z >2.05]

= P[z < 0.49] + 1 -  P[ z < 2.05]

= .6879 + 1 - .9798

= 0.7081

Left of z = 0.49 and right of z = 2.05, the area underneath the standard normal curve is equal to 0.7081.

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I understand that the question you are looking for is:

Find the area under the standard normal curve to the left of z = 0.49 and to the right of z = 2.05. Round your answer to four decimal places, if necessary.

The position of an object that is oscillating on a spring is given by the equation x = (17.4 cm) cos[(5.46 s-1)t]. what is the angular frequency for this motion?

Answers

The angular frequency of this motion is 5.46 rad/s.

The oscillation of spring is an example of Simple Harmonic Motion(SHM).

The general equation of an SHM is given by the formula.

X = Acos(wt)

Here A is the amplitude

ω is the angular frequency

T is the time

Comparing the above equation with the given condition,

X = 17.4 cm cos(5.46t)

A = 17.4 cm

ω = 5.46 rad/s

T = 1 s

Hence, the angular frequency of this motion is 5.46 rad/s.

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If your car is moving at 100 km/hr, how many kilometers will your car travel in 15 minutes?

Answers

It will be 25 if the car moves at that speed for 15 minutes

What is the statement domain for p1? express as line numbers. exclude syntactical markers, such as {, }, else, and end.

Answers

The statement domain for p1 will constitute for all those line sequences which can possibly be executed depending upon the inputted value of A. It can be stated as follows:

{ (1,2,3), (1,2,3,5,8,16,17), (1,2,3,5,6,13,16,17)}

In addition to the examination of the total study population, the DOMAIN statement also asks analysis of domains (subpopulations).

The variables that distinguish domains are known as domain variables and are named by the DOMAIN statement.

Both character and numeric domain variables are acceptable. Domain variables are treated as categorical variables by the technique.

Each level of a variable determines a domain in the research population if it appears in a DOMAIN statement by itself.

A domain is determined by every possible combination of levels of variables when two or more variables are connected by an asterisk (*). Within each of the domains that are established by the domain variables, the process does a descriptive analysis.

The levels of the categorical variables are based on the formatted values of the domain variables.

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

Answers

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

Series connection

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

There is only one path for current to flow.

Parallel connection

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

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

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

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

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

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What is the purpose of preheating the crucible and its cover prior to measuring its mass?

Answers

It is crucial to warm crucibles before use to lessen thermal stress on them.

Crucibles and covers are made up of porcelain that are like ceramic that contains pores in it. Any kind of water molecules from the air gets trapped in the pores of these crucible and cover.

These water molecules need to be driven out before the initial massing of the crucible and cover. The preheating helps to drive out these water molecules from the pores.

What does it mean to pre-heat a crucible?

By raising the crucible’s temperature to 200°C, moisture will be removed in this step. Crucibles are protected from potential moister risk by the moister elimination procedure.

Crucibles that are brand-new or have seen a lengthy pause should be progressively heated to 200°C.

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What is the acceleration of a car travelling with a constant speed of 6o mph on a curved road that has 400 ft radius?

Answers

A car traveling at a steady speed of 60 mph on a curved road with a 400-foot radius experiences an acceleration of a=19.36 feet per second.

How does acceleration work?

Acceleration is the rate of change in a moving object's speed and direction over time. When something moves faster or slower, it is considered to be accelerating. Motion on a circle accelerates even while the speed is constant because the direction is always changing.

What are the three different forms of acceleration?

Any change in an object's velocity causes an acceleration, whether it be an increase in speed (what most people refer to as acceleration), a decrease in speed (also known as a deceleration ), or a change in direction (called centripetal acceleration ).

Speed

V=60mph

V=60*1.4667

V=88 ft/s

Acceleration

a= v²/r

a=88²/400

a=19.36ft/s²

A car traveling at a steady speed of 60 mph on a curved road with a 400-foot radius experiences an acceleration of a=19.36 feet per second.

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the resistivity of a material is doubled when heated a certain amount. what happens to the resistance of a device made of this material when heated the same amount?

Answers

The resistance will also be doubled when the device is made of same material and when heated to the same amount.

Resistance is defined as the opposition in the flow of current in an electrical circuit. It is measured in ohm. The electrical resistance of a conductor of unit cross-sectional area and unit length is known as Resistivity. It is represented by ρ.

The relation between resistance and resistivity is, ρ = RA/l . Here, R is Resistance , A is Area of wire and l is length of wire. Resistivity is directly proportional to the resistance. The resistivity of a material is doubled when heated a certain amount. So, for a same material heated to same extend the resistance will also be doubled.

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Find the momentum (in kg m/s) for a 1.6 kg brick parachuting straight downward at a constant speed of 9.9 m/s

Answers

the momentum can be calculated by the formula p= mv here m is mass of the brick and v is the velocity so momentum is 1.6kg X 9.9 m/s= 15.85 kg m/s

momentum is the result of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force acting on the particle equals the time rate of change of momentum. According to Newton's second law, if a constant force is applied to a particle for a specific amount of time, the result of the force and the time (the impulse) is equal to the change in momentum. On the other hand, a particle's momentum represents the length of time needed for a consistent force to bring it to rest.

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11 short response to the following questions "Physics has made our lives comfortable." Justify this statement​

Answers

Physics has made our lives comfortable because without physics there would be no modern life.

In the modern days before the invention of physics, the life was not as comfortable as today's world. Some basic examples, include controlling the living conditions. In colder days, you can warm yourself using a heater and in hotter days you can cool yourself using an air conditioner.

Physics along with other branches of science led the invention of all the equipment, gadgets, electric devices etc. These inventions makes life easier and comfortable.

Therefore, Physics has made our lives comfortable.

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There is a negative surface charge density in a certain region on the surface of a solid conductor. just beneath the surface of this region, the electric field

Answers

Just beneath the surface of this region, the electric field is zero.

Surface charge density

Charge density is a measure of the amount of electric charge present in a space per unit volume in one, two, or three dimensions, according to electromagnetism.

The quantity of electric charge per surface area or volume, respectively, is known as the linear surface or volume charge density.

What is the surface charge density equation?

Σ = q/A

The formula for surface charge density is = q/A, and the SI unit for surface charge density is coulombs per square meter (cm2). Assuming q is the charge and an is the area of the surface over which it flows

What does surface charge mean?

A two-dimensional surface having a positive electric charge is called a surface charge. This 2-D surface and surface are restricted by these electric charges.

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A ball is thrown vertically into the air. because of air resistance, its time coming down compared to its time going up is:_________
a. less.
b. the same.
c. more.

Answers

A ball is launched into the air vertically. Because of air resistance, it takes less time to come down than to get up.

What is air resistance?

The forces that oppose an object's relative motion as it travels through the air are known as air resistance. These drag forces cause the object to move more slowly by acting in opposition to the speed of the incoming flow. Since drag is the part of the net aerodynamic force operating in the opposite direction to the direction of the movement, it differs from other resistance forces in that it directly depends on velocity.

Another way to describe it is to say that air resistance is caused by the leading surface of the object smacking with air molecules. Therefore, it can be claimed that the object's speed and cross-sectional area are the two most frequent variables that directly affect the quantity of air resistance. Thus, an increase in air resistance will be caused by both increasing speeds and cross-sectional areas.

In the context of aerodynamics and flight, the term "drag" refers to both the forces opposing and perpendicular to propulsion (i.e. lift). Depending on the circumstances, atmospheric drag can be either a positive or negative factor in astrophysics. When a spacecraft is returning to Earth from orbit, it both uses fuel and reduces efficiency during takeoff.

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During an adiabatic compression a volume of an air decrease to 1/4 th its original size calculate its final pressure if its original pressure was 1 atm

Answers

The final pressure is 6.96 atm.

We know that in an adiabatic process,

[tex]p_{1} V_{1} ^{gamma}[/tex] = [tex]p_{2} V_{2} ^{gamma}[/tex]

where,

p = Pressure

V = Volume

Gamma = Isentropic expansion factor

Given that,

[tex]p_{1}[/tex] = 1 atm

γ = 1.4 ( Assuming the air as an ideal gas )

[tex]V_{2}[/tex] = [tex]V_{1}[/tex] / 4

[tex]V_{1}[/tex] / [tex]V_{2}[/tex]  = 4

[tex]p_{1} V_{1} ^{1.4}[/tex] = [tex]p_{2} V_{2} ^{1.4}[/tex]

[tex]p_{2}[/tex] = 1 * [tex]( 4 )^{1.4}[/tex] = 6.96 atm

An adiabatic process is a thermodynamic process without the involvement of heat. Usually it takes place in an insulated box.

Therefore, the final pressure is 6.96 atm

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A star that has exhausted its supply of hydrogen is considered _____. group of answer choices
a. depleted
b. eroded
c. mature
d. dead

Answers

Answer:

A mature star is a star that has exhausted its supply of hydrogen

Explanation:

For the most part, a star is powered by nuclear fusion. The energy is first produced by the fusion of hydrogen atoms in the core of a main-sequence star. Later, when the helium predominates in the core, stars like the Sun begin to fuse hydrogen along a spherical shell around the core. This allows the star to steadily increase in size, passing through the subgiant stage and eventually reaching the red giant stage.

When they reach this stage, the hydrogen in them nearly completely depletes, and they get brighter and hotter, eventually becoming low-mass white dwarfs.

When a star's supply of hydrogen in its core runs out, leaving only helium, the outward force provided by fusion begins to diminish, and the star can no longer maintain equilibrium. When the force of gravity exceeds the force of internal pressure, the star begins to disintegrate. The outcome of this collapse is determined by the mass of the star.

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A powerful motorcycle can accelerate from rest to 26.8 m/s (100 km/h) in only 3.90 s.
(a) what is its average acceleration?
(b) how far does it travel in that time?

Answers

The average acceleration is 6.87 m/s^2.

It travels up to 52.25m in that time.

Calculation

a) The motorcycle is initially at rest. this means that the initial velocity is Zero.

The average acceleration is caused by the kinematic equation of motion in terms of velocity, acceleration and time.

V = u + at

So substituting all the values, we have,

26.8 = 0 + 3.90*a

⇒ a = 26.8/3.90

⇒ a = 6.87 m/s^2

Hence the Motorcycle has the average acceleration 6.87 m/s^2

b) The distance travelled by the motorcycle in the time 3.9s can be found be the kinematic equation of motion in terms of position with constant acceleration.

S = ut + 1/2 at^2

Substituting all the values,

x = 0*3.9 + 1/2[(6.87)(3.90)^2]

x = 1/2[(6.87)(3.90)^2]

⇒ x = 52.25m

Thus, the motorcycle can travel upto 52.25m in that time.

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The density of mercury is 13,580 kg/m3 and the density of water is 1000 kg/m3. the specific gravity of mercury is _____.

Answers

A fluid's specific gravity is determined by comparing its density to the density of a standard reference fluid, often water.

13,580,1000 ≈ 13.6

What is the weight density of mercury?

Mercury is a highly heavy, dense metal that is silver-white and liquid at normal temperature. Because water has a density of 1.0 g/mL, and mercury has a density of 13.5 g/mL, it feels quite weighty for such a small amount of mercury.

Mercury also has a very high surface tension, which causes tiny mercury droplets to condense on glass to create virtually spherical beads. Liquid mercury can be used in thermometers like the lab thermometer below because it expands and shrinks predictably with temperature. However, due to the element's health risks, the usage of mercury thermometers has generally been discontinued.

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A measure of central tendency called the _____ can be a particularly biased or misleading measure of central tendency when there are a few extreme scores.

Answers

A measure of central tendency called the mean can be a particularly biased or misleading measure of central tendency when there are a few extreme scores.

"The statistical metric that identifies a single value as representative of an entire distribution" is the definition of central tendency. It strives to give a precise account of all the facts. It is the lone value that best typifies or reflects the information gathered.

The mean, median, mode, and the midrange are the four indicators of central tendency. The arithmetic mean of the maximum and minimum values in a data set is used here to describe the midpoint or mid-extreme of a set of statistical data values.

A dataset's arithmetic mean (which is distinct from its geometric mean) is calculated by dividing all of the values by the total number of values. Due to the fact that the computation takes into account all values, it is the most widely used central tendency measure.

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Use logarithmic differentiation to find the derivative of the function. y = x4 sin x

Answers

The derivative of the function is dy/dx = 4([tex]x^{4sinx}[/tex])[(sin x) / x + (cos x) (ln x)]

y = [tex]x^{4sin x}[/tex]

Taking the log of both sides:

ln y = sin x ln [tex]x^{4}[/tex] = (sin x) * (4 ln x) = 4 (sin x)(ln x)

Now differentiate both sides.  On the left you'll need to use the chain rule, and on the right you'll use the product rule:

1/y dy/dx = 4[(sin x) (1/x) + (cos x)(ln x)] = 4 [(sin x) / x + (cos x)(ln x)]

Multiply both sides by y

dy/dx = y * 4 [(sin x) / x + (cos x)(ln x)]

Since y = [tex]x^{4sinx}[/tex], we can rewrite this as:

dy/dx = [tex]x^{4sinx}[/tex] * 4 [(sin x) / x + (cos x)(ln x)]

dy/dx = 4[tex]x^{4sinx}[/tex] [(sin x) / x + (cos x)(ln x)]

Chain rule is the formula used to find the derivative of a composite function. Product rule is used to find derivative of products of two or more functions.

Therefore, the derivative of the function y = [tex]x^{4sin x}[/tex] is dy/dx = 4([tex]x^{4sinx}[/tex])[(sin x) / x + (cos x) (ln x)]

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A north american tourist takes his 25.0-w, 120-v ac razor to europe and plugs it into 240 v ac. assuming constant resistance, what power does the razor consume as it is ruined?

Answers

The power consumed by the razor is 100W.

According to Ohm's law,

Resistance R = Voltage V / Current ICurrent I = Power P / Voltage V

Therefore Resistance R = [tex]V^{2}[/tex] / P

Given,

Power in North America P[tex]^{NA}[/tex] = 25 w

Voltage in North America V[tex]^{NA}[/tex] = 120 V

Voltage in Europe V[tex]^{EU}[/tex] = 240 V

Resistance in North America R[tex]^{NA}[/tex] = [tex]120^{2}[/tex] / 25 = 576 Ω

Resistance in Europe R[tex]^{EU}[/tex] = 576 Ω ( Assumed constant )

Power in Europe P[tex]^{EU}[/tex] = [tex]240^{2}[/tex] / 576 = 100 w

Ohm's law describes that the Current across a conductor is directly proportional to the Voltage across those two points.

Therefore power consumed by the razor is 100W.

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At what temperature does a process with [delta]h = 20. kj and [delta]s = 300. j become spontaneous? (give the answer in 3 sig figs)

Answers

The Temperature at a process with ΔH and ΔS become spontaneous is 66.6k

Gibbs free energy  - It can be defined as that can be used to calculate the amount of work done performed by a closed system at constant temperature and pressure.

It's symbol is G.

Gibbs free energy equation is given as

ΔGΔH−TΔS

where

ΔG = Gibbs free energy.

ΔH =  Enthalpy change.

T = Temperature in Kelvin.

ΔS = Entropy change.

ΔH= 20kJ = 20000J

ΔS= 300J/K

if ΔG<0, process is spontaneous

if ΔG>0, process is non spontaneous

if ΔG=0, process is in equilibrium

To find the temperature at which the given reaction becomes spontaneous, the minimum T value for which we obtain a negative value of the Gibbs free energy change is

ΔH−TΔS > 0

T > ΔH/ΔS

We have ΔH=20kJ=20000J

ΔS= 300J/K

T > 20000/300

T> 66.6K

The Temperature at a process with ΔH and ΔS become spontaneous is 66.6k

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Why did the Industrial Revolution lead to the creation of jobs in human resources? A. More people were going to work on farms and in small shops. B. More people were working together in large groups. C. Once companies built factories, employees no longer needed training. D. Once companies built factories, there was no need to hire employees.

Answers

The Industrial Revolution led to the creation of jobs in human resources because more people were going to work on farms and in small shops and is therefore denoted as option A.

What is Industrial Revolution?

This is referred to a period which experienced a change from a handicraft economy to one which was dominated by a lot of technological innovations and productions.

This period led to the production of a lot of machines which helped to make jobs easier for the workers. It led to the increase in the way different goods and products were processed which led to the need to employ more people to run the operations.

Working on farms with equipment such s tractors, plough etc and the creation of shops to sell more processed goods is what led to the creation of jobs in human resources.

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