if the 1.5-m-long cord ab can withstand a maximum force of 3500 n, determine the force in cord bc and the distance y so that the 200-kg crate can be supported. fbc

Answers

Answer 1

3500 N is the same amount of force in cord BC as it is in cord AB. The equation of equilibrium Fy=Fabsin(theta)=Fbccos(theta), where theta is the angle between the two cords, may be used to compute the distance y.

The idea of force equilibrium can be used. To balance the weight of the crate (200 kg * 9.8 m/s2 = 1960 N), the force in cord BC (F bc) must be equal to the force in cord AB (3500 N). The idea of mechanical advantage may also be used to determine the distance y, which in this example equals the weight-to-force ratio of the BC cord. As a result, y = (200 kg * 9.8 m/s2) / 3500 N = 0.564 m if we assume that y is the distance from the point of suspension to the container. As a result, the distance y is 0.564 m and the force in cord BC is 3500 N.

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Related Questions

if your hot pot has a power rating of 600 watts, show how to find how long it will take to complete the process. (make sure you are comfortable using standard units of energy, and that you understand the relation of power to energy. hint: what are watts?)

Answers

It will take 91.125 sec (approximately 1 min and 30 sec) to complete the process using a hot pot with a power rating of 600 watts.

How does the conversion process of ice to water occur?

The process of converting 150 pieces of ice at -15 degrees Celsius into liquid water at 50 degrees Celsius is an endothermic process, meaning that heat is absorbed by the system. To represent this process in an energy-interaction diagram, we would start with the initial state of the ice at -15 degrees Celsius, with the horizontal axis representing the amount of energy absorbed by the system (in joules) and the vertical axis representing the temperature. As heat is added to the system, the temperature of the ice will increase, and the energy absorbed by the system will also increase. The process will continue until the ice has completely melted and reached a temperature of 50 degrees Celsius, at which point the energy absorbed by the system will reach its maximum value.

The amount of heat added to the system to complete this process can be calculated using the formula:

Q = mcΔT

where Q is the heat added (in joules), m is the mass of the ice (in kilograms), c is the specific heat capacity of ice (about 2.1 J/gC), and ΔT is the change in temperature (50 - (-15) = 65 degrees Celsius). The heat absorbed by the system is therefore calculated as follows:

Q = 150 pieces × 0.02 (kg/piece) × 2.1 (J/g*C) × 65(C) = 54675 J

It will take 91.125 sec (approximately 1 min and 30 sec) to complete the process using a hot pot with a power rating of 600 watts.

How does the conversion process of ice to water occur?

The process of converting 150 pieces of ice at -15 degrees Celsius into liquid water at 50 degrees Celsius is an endothermic process, meaning that heat is absorbed by the system. To represent this process in an energy-interaction diagram, we would start with the initial state of the ice at -15 degrees Celsius, with the horizontal axis representing the amount of energy absorbed by the system (in joules) and the vertical axis representing the temperature. As heat is added to the system, the temperature of the ice will increase, and the energy absorbed by the system will also increase. The process will continue until the ice has completely melted and reached a temperature of 50 degrees Celsius, at which point the energy absorbed by the system will reach its maximum value.

The amount of heat added to the system to complete this process can be calculated using the formula:

Q = mcΔT

where Q is the heat added (in joules), m is the mass of the ice (in kilograms), c is the specific heat capacity of ice (about 2.1 J/gC), and ΔT is the change in temperature (50 - (-15) = 65 degrees Celsius). The heat absorbed by the system is therefore calculated as follows:

Q = 150 pieces × 0.02 (kg/piece) × 2.1 (J/g*C) × 65(C) = 54675 J

To find out how long it will take to complete the process using a hot pot with a power rating of 600 watts, you can use the formula:

time (in seconds) = energy (in joules) / power (in watts)

time = 54675 J / 600 W = 91.125 sec (approximately 1 min and 30 sec)

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Which of the following practices are common ways in which journalists misrepresent research studies in their media articles?

Answers

Journalists frequently misinterpret research studies in their media articles in a number of ways. Such practices can lead to inaccurate and potentially harmful messages about scientific research.

Misinterpretation of research studies occurs in several ways:

First, journalists may inaccurately represent the findings of a study, either by overstating its conclusion or by misinterpreting its results. For example, they may suggest that a study shows a causative relationship between two variables when the actual findings only show a correlation.

Second, journalists may fail to provide enough context for readers to understand the research. This includes not providing enough information about the study sample and design, as well as failing to explain the statistical methods used in the analysis.

Third, journalists may selectively report on research studies, emphasizing those that are most sensational or that support a particular narrative. By omitting certain study results, they may give an incomplete picture of the research at hand.

Finally, journalists may report on studies that contain weak or unreliable evidence. This is particularly problematic when the research is based on a small sample size or uses methods that are not well-validated.

In summary, journalists are prone to misrepresenting research studies by giving an incomplete account of the findings, failing to provide adequate context, selectively reporting on studies, and relying on unreliable evidence. Such practices can lead to inaccurate and potentially harmful messages about scientific research.

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the built-up shaft consists of a pipe ab and solid rod bc. the pipe has an inner diameter of 20 mm and outer diameter of 28 mm. the rod has a diameter of 12 mm. determine the average normal stress at points d and e and represent the stress on a volume element located at each of these points.

Answers

In order to determine the average normal stress at points D and E, we need to know the applied loading and the cross-sectional areas of the pipe and rod at these points.

It is assumed that pipe AB and solid rod BC form a built-up shaft that is subjected to an axial load, represented by P. The average normal stress at point D, which is located on the pipe, can be calculated by:

σD = P/A

Where A is the cross-sectional area of the pipe at point D. The cross-sectional area of the pipe can be calculated by:

A = π/4 * (D_o^2 - D_i^2)

Where D_o is the outer diameter of the pipe and D_i is the inner diameter of the pipe

The average normal stress at point E, which is located on the rod, can be calculated by:

σE = P/A

Where A is the cross-sectional area of the rod at point E. The cross-sectional area of the rod can be calculated by:

A = π/4 * D_r^2

Where D_r is the diameter of the rod

Therefore, by substituting the given values into the above equations we can calculate the average normal stress at points D and E.

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figure 22-53 shows two concentric rings, of radii r and r 3.00r, that lie on the same plane. point p lies on the central z axis, at distance d 2.00r from the center of the rings. the smaller ring has uniformly distributed charge q. in terms of q, what is the uni- formly distributed charge on the larger ring if the

Answers

Symmetry: According to the problem the charge on the larger ring is 4q.

What is Symmetry?

Symmetry is a type of balanced arrangement of parts or elements of a whole. It is a fundamental concept in mathematics, art, and nature. Symmetry can be seen in everyday objects, such as a human face, a butterfly, a snowflake, and a fingerprint.

This is because of the symmetry of the system. The electric field due to the smaller ring at point P is the same as the electric field due to the larger ring at point P, since the distance from point P to the center of both rings is the same. Since the charge on the smaller ring is q, the charge on the larger ring must also be q in order to produce the same electric field. Since the larger ring has four times the area of the smaller ring, the charge on the larger ring must also be four times that of the smaller ring, which is 4q.

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what is the direction of the acceleration of the object at moment 5? enter the letter of the arrow with this direction from the compass rose in the figure. type z if the acceleration vector has zero length.

Answers

The direction of the acceleration of the pendulum at moment 5 is towards A (center), which is perpendicular to the direction of motion of the bob.  

There is no any component of force acting along the tangent direction, when the bob is at the equilibrium mid-position as the string is completely vertical. Restoring force is momentarily absent in the bob when it is moving through the equilibrium position. The restoring force is only required when the pendulum bob has been slightly displaced away from the equilibrium position.

In the equilibrium position, the tension force is greater than the perpendicular component of gravity when the bob moves through this equilibrium position. As the bob continues its motion along a circular arc, so there must be a net centripetal force towards the center. So the direction will be towards A.

--The given question is incomplete, the complete question is:

"what is the direction of the acceleration of the object at moment 5? enter the letter of the arrow with this direction from the compass rose in the figure. type z if the acceleration vector has zero length."

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A particle is launched with a horizontal velocity v0 = 0.55 m /s from the 30° position shown and then slides without friction along the funnel-like surface. Determine the angle θ which its velocity vector makes with the horizontal as the particle passes level O-O. The value of r is 0.9 m. [

Answers

The angle its final velocity makes with the horizontal is 60⁰.

What is the time of motion of the particle?

The time taken for the particle to travel through the 0.9 m radius is calculated by applying the following equation.

t = ( 2v sin (θ) ) / g

where;

v is the initial velocity θ is the angle of projectiong is acceleration due to gravity

t = ( 2 x 0.55 x sin 30 ) / ( 9.8 )

t = 0.056 s

The final vertical velocity is calculated as follows;

Vy = Vi + gt

Vy = ( 0.55 x sin 30 ) + (9.8 x 0.056 )

Vy = 0.82 m/s

The final horizontal velocity is calculated as follows;

Vx = V cos (30)

Vx = 0.55 m/s  x  cos ( 30 )

Vx = 0.48 m/s

The angle made with the horizontal is calculated as;

θ = arc tan ( Vy / Vx )

θ = arc tan  ( 0.82 / 0.48 )

θ = 59.7⁰ ≈ 60⁰

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999mm is added to 100 we get​

Answers

999mm is added to 100m, we get​ 100999m.

What is the Conversion of units?

A unit conversion is defined as the same property as a different unit of measurement such that time can be expressed in minutes instead of hours, while distance can be expressed in miles to kilometers or feet or lengths which can be converted to any other measurement.

In the above given information,

We have two numbers which are 999mm and 100m

So, we have to convert 100m into mm.

we know, 1cm=10mm

                     1m=100cm=100×10=1000mm

100m will be=100×1000=100000mm

Now, after adding 999m with 100000mm,

999mm+100000mm =100999mm

Hence, when 999mm is added to 100m we get 100999m.

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What is the average velocity of the marble?
note that 2 frames is one second

Answers

The average velocity of the marble based on the image is 2.75 m/s.

What is average velocity?

The ratio of the change in position or displacement (x) and the time periods (t) during which the displacement happens is known as average velocity.

Mathematically;

average velocity = ∆x / ∆t

where;

∆x = change in position or displacement∆x = change in time

The change in the displacement of the marble, ∆x = 7 m - (-4) m

The change in the displacement of the marble, ∆x = 11 m

The change in time, ∆x = 8/2 seconds

The change in time, ∆x = 4 seconds

The average velocity of the marble = 11 m / 4 seconds

The average velocity of the marble = 2.75 m/s

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The acceleration of a train that increases its velocity from 10.0 m/s to 15.0 m/s in 2.90 seconds is _____ m/s^2.

Answers

In 2.90 seconds, a train can accelerate from 10.0 m/s to 15.0 m/s, and this train accelerates at a rate of 1.94 ms2/m/s2.

For what reason does a train's acceleration diminish?

At the start of the trip, the train picks up speed as it accelerates. In the middle of the journey, it remains the same (where there is no acceleration). When the train comes to a stop, it gets smaller as it slows down.

Distance traveled by the train as a percentage of time is its speed. The time it takes for two trains to cross each other is determined by the length of the trains, say lengths a and b, and the speeds of the trains, x and y, respectively.

In 2.90 seconds, a train can accelerate from 10.0 m/s to 15.0 m/s, and this train accelerates at a rate of 1.94 ms2/m/s2.          

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does cloud spins faster due to conservation of angular momentum. or gravitational potential energy is converted to kinetic energy.happen firsty

Answers

The rules of energy conservation and angular momentum conservation ensure that any rotating, collapsing cloud will finish up as a spinning disk.

What is momentum?

Momentum is defined in Newtonian physics as the product of an object's mass and velocity. It is a vector quantity with magnitude and direction. Momentum is a measure of mass in motion: how much mass is involved in how much movement. It is commonly denoted by the sign p. Momentum is clearly defined as the measure of an object's kinetic energy. In layman's terms, momentum is the product of mass and velocity. Complete response: Simply said, momentum is concerned with the quantity of motion. It can also be referred to as the preserved quantity.

Here,

The laws of energy and angular momentum conservation guarantee that any rotating, collapsing cloud will end up as a spinning disk.

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Hellooooooooooopooooooo

Answers

Answer:

Hi ??? what is your question

a 64.0-kg bungee jumper steps off a bridge with a light bungee cord tied to her and to the bridge. the unstretched length of the cord is 15.0 m. the jumper reaches reaches the bottom of her motion 41.0 m below the bridge before bouncing back. we wish to find the time interval between her leaving the bridge and her arriving at the bottom of her motion. her overall motion can be separated into an 15.0-m free-fall and a 26.0-m section of simple harmonic oscillation.

Answers

The free-fall and oscillation sections, which is [tex]$3.02 \ s + 2.01 \ s = 5.03 \ s$[/tex].

What is oscillation sections?

Oscillation sections are sections of a waveform that repeat themselves over a certain period of time. This period of time is known as the oscillation period and is typically measured in seconds or milliseconds.

The time interval between the bungee jumper leaving the bridge and reaching the bottom of her motion can be found by summing the time intervals associated with the free-fall and oscillation sections of the motion.
The time interval associated with the 15.0 m free-fall can be found using the equation for the time it takes an object to fall a given distance, which is:
[tex]$t_{fall} = \sqrt{\frac{2d}{g}}$[/tex]
where d is the distance fallen and g is the acceleration due to gravity, which is [tex]9.81 m/s$^2$.[/tex]
Therefore, the time interval associated with the free-fall can be calculated as follows:
[tex]$t_{fall} = \sqrt{\frac{2 \cdot 15.0 \ m}{9.81 \ m/s^2}} = 3.02 \ s$[/tex]
The time interval associated with the 26.0 m of oscillation can be found using the equation for the period of a simple harmonic oscillator, which is:
[tex]$T = 2 \pi \sqrt{\frac{m}{k}}$[/tex]
where $m$ is the mass of the object and k is the spring constant.
In this case, the mass of the object is 64.0 kg, and the spring constant is the force of gravity acting on the jumper, which is [tex]$mg = 64.0 \ kg \cdot 9.81 \ m/s^2 = 628.64 \ N/m$[/tex]
Therefore, the time interval associated with the oscillation can be calculated as follows:
[tex]$T = 2 \pi \sqrt{\frac{64.0 \ kg}{628.64 \ N/m}} = 2.01 \ s$[/tex]
The total time interval between the bungee jumper leaving the bridge and reaching the bottom of her motion is the sum of the time intervals for the free-fall and oscillation sections, which is [tex]$3.02 \ s + 2.01 \ s = 5.03 \ s$[/tex].

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a person wants to transmit an audio file from a device to a second device. which of the following scenarios best demonstrates the use of lossless compression of the original file? What is the speed of the block immediately after the bullet exits?

Answers

The answer is that A device compresses the audio file before transmitting it to a second device. The second device restores the compressed file to its original version.

What is an compresses an audio file?

To compresses an  audio file is a term that connote the act of making an audio file to be smaller in size so as to fit into a given device or app. Note that the option that best demonstrates the use of lossless compression of the original file is that A device compresses the audio file before transmitting it to a second device. The second device restores the compressed file to its original version before playing it and as such, option A is correct.

Here,

The solution is that before sending the audio file to a second device, A compresses it. The second device converts the compressed file back to its original state.

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Occurs when the type, degree, and duration of force employed was not necessary or appropriate.

Answers

The type, degree, and duration of force that is employed during the moment was not necessary.

in mechanics, any action that seeks to preserve, modify, or deform a body's motion. Isaac Newton's three laws of motion, which are outlined in his Principia Mathematica, are frequently used to illustrate the concept of force (1687).

Simple people with simple minds teach simple subjects, like physics. The first thing physicists do when they examine an object is to simplify it. A book is a box, not a collection of paper sheets attached with glue and string. A automobile is a box; it doesn't have rotating rubber tires, six-way adjustable seats, lots of cup holders, or a rear window defogger. A human is not formed of bone, muscle, skin, and hair; rather, they are a box with two arms, two legs, and a head. This is the start of a free body diagram, a style of drawing popular among engineers and physicists.

The foundation of physics is the logical process of analysis, which involves dissecting complex circumstances into a collection of smaller ones.

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Explain the sources of instrumental errors

Answers

Answer:

A pH meter that reads 0.5 off or a calculator that rounds incorrectly would be the source of instrumental errors.

A 500 kg roller coaster car starts from rest at point A and moves down the curved track._ The speed of the car at the point C is 10 m/s. Calculate the energy loss due to friction from A to C

Answers

The appropriate values into the equation: E = (500 kg) (9.81 m/s2) (change in height between A and C).

What is equation?

An equation is a mathematical statement that expresses the relationship between two or more variables. It is composed of algebraic expressions, including constants, coefficients, variables, and operators, arranged in a particular order.

The energy loss due to friction from A to C can be calculated using the equation E = mgh, where m is the mass of the car (500 kg), g is the acceleration due to gravity (9.81 m/s2), and h is the change in height between points A and C.
Assuming that the track is level between A and C,
then the change in height is zero and the energy loss due to friction is also zero. If, however,
the track is not level and there is a change in height between A and C,
then the energy loss due to friction can be calculated by plugging in the appropriate values into the equation: E = (500 kg) (9.81 m/s2) (change in height between A and C).

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11. A metallic block of mass sokg exerts o pressure of ION/m² on the surface. Determine the area of contact between the block and the surface.​

Answers

The area of contact between the block and the surface is 50 m².

What is mass?

A body's mass is an inherent quality. Before the discovery of the atom and particle, it was widely considered to be tied to the amount of matter in a physical body.

The measure of matter in a particles or object is represented by the dimensionless quantity mass (symbolised m). The kilogramme is the International System's (SI) preferred unit of mass (kg).

What is pressure?

Pressure is defined as force applied on a body per unit area. Pressure is the force perpendicularly applied to an object's surface per unit area over which that force is distributed. Gauge pressure is the pressure in relation to the outside pressure. There are many different units used to express pressure.

Equation :

Given,

mass(m) = 50kg

pressure (p) = 10N/m²

Taking,

g= 10 m/s²

p= mg/A⇒ 10= 50 × 10/A∴

A= 500/10 = 50 m²

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A student standing on the ground throws a ball straight up. Theball leaves the student's hand with a speed of 15 m/s when the handis 2.0 m above the ground . HOw long is the ball in the air beforeit hits the ground? ( The student moves her hand out of the way)

Answers

The ball takes 1.62 seconds to return to the ground after reaching its  maximum height  As a result, the ball is in the ground for

1.5 seconds + 1.62 seconds, which is 3.12 seconds.

The student  throws the ball with the initial velocity vi=15m/s

The final velocity of the ball is [tex]v_{f} =0 \\[/tex] The gravitational acceleration is g=10m/[tex]s^{2}[/tex]

Let the maximum height the ball reached is  s

Using the equation of motion,

[tex]v_{f} ^{2} -v_{i} ^{2} =2gs-(15)^2[/tex]=11.25m

Consequently, the ball traveled 11.25 meters from student height till it began to fall to the ground. Identify the time t right now.Taken by ball to reach the height 11.25 musing the equation of motion

[tex]v_{f} =v_{i}+gt_{o}=15+(-10) t_{t} =1.5sec[/tex]

As a result, the ball reaches its highest point in 1.5 seconds.

Given that the girl's hand was 2 meters above the ground. Consequently, the ball travels the distance before touching the ground.

11.25m + 2m = 13.25m

Using the equation of motion

[tex]S=v_{i} t+\frac{1}{2} gt^{2}[/tex]

S=13.25m, [tex]v_{i} =0[/tex], g=10m/[tex]s^{2}[/tex]

Substitute the values,

[tex]13.25=0 +\frac{1}{2} (10)t^{2}[/tex]

t=[tex]\sqrt\frac{13.25}{5}[/tex]

t=1.62sec

The time taken by ball to return to ground from maximum height is 1.62 sec.

Hence, The ball remains in ground before it hits the ground is 1.5 sec + 1.62 sec = 3.12 sec

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you have a lightweight spring whose unstretched length is 4.0 cm . first, you attach one end of the spring to the ceiling and hang a 2.6 g mass from it. this stretches the spring to a length of 5.1 cm . you then attach two small plastic beads to the opposite ends of the spring, lay the spring on a frictionless table, and give each plastic bead the same charge. this stretches the spring to a length of 4.4 cm . What is the magnitude of the charge (in nC) on each bead?

Answers

Magnitude of the charge on each bead is calculated as 14.7 nC

What is charge?

In physics, charge is a characteristic of unit of matter that expresses the extent to which it has more or fewer electrons than protons.

As, F = kΔL, where F is the force, k is the spring constant, and ΔL is the change in length of the spring.

Given mass is 2.6 gm and unstretched length is 4.0 cm .

So, F = mg = 2.6g * 9.8 m/s^2

ΔL = 5.1 cm - 4 cm = 1.1 cm

Hence, k = F/ΔL = (2.6*9.8)/(0.011) = 469.09 N/m

ΔL = 4.4 cm - 4 cm = 0.4 cm

F = kΔL = 469.09 N/m * 0.4 cm = 187.63 N

As we know, q = F/E

q = 187.63 N / (1/(4π8.85410^-12)) = 1.4710^-8 C

So, the magnitude of the charge on each bead is 1.4710^-8 Coulombs, or 1.4710^-8 * 10^9 = 14.7 nC

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two Casa distance to kilometer apart on a straight line if they are moving towards each other at 10 km per hour in 30 km per hour respectively how long it does say take to reach at their passing point​

Answers

The four different forms of speed are as follows: uniform speed. variable rate Typical rate.

What is the meaning of relative speed?The speed of one moving body in relation to another is known as relative speed. When two bodies are moving in the same direction, their difference is used to calculate their relative speed. The relative speed, however, is determined by summing the speeds of the two bodies when they are going in the opposite direction.Speed is a talent. It takes a lot of technical expertise to constantly use one's body's capabilities to its fullest capacity.Velocity, as opposed to speed, refers to the pace and direction of an object's movement as it moves down a path. In other words, whereas velocity is a vector, speed is a scalar quantity.

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Help me pleaseee!!
Would appreciate ^^
**BRAINLIST, thanks and
points***
With steps pls so I can
understand

The battery has an internal resistance of 2.50
4.1 Show that the resistance of the 6.2 V, 4.5 W lamp at its working potential difference
(pd) is about 9.

Look at photo for more info
4.2 The terminal pd across the battery is 6.2 V.
Calculate the emf of the battery.

Answers

4.1) Resistance of the 6.2 V, 4.5 W lamp at its working potential difference (pd) is about 9.   4.2) The emf of the battery is 6.2V.

What is potential difference?

The energy used between two points in a circuit is called potential difference, therefore it is measured between two points either side of component.

4.1)To calculate the resistance of the lamp;

resistance = pd / current

pd is the potential difference across the circuit and current is the flow of electricity through circuit.

Given, potential difference across the lamp is 6.2 V and the power of the lamp is 4.5 W,

So, Power = pd x current

4.5W = 6.2V x current

current = 4.5W / 6.2V

Hence, current = 0.726 A

resistance = pd / current

resistance = 6.2 V / 0.726 A

resistance = 8.56 ohm, approximately 9 ohm

4.2 The emf of battery is the maximum potential difference of the battery, when no current is flowing through circuit. In this case, emf of the battery is the same as terminal pd across the battery which is 6.2V. So the emf of the battery is 6.2V.

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How are atoms molecules, compounds, and pure substances
related?

Answers

Elements are most simply made up of atoms. A pure element will only have one type of atom, for example, a pure chunk of gold will only have gold atoms, making it chemically pure.

Two identical atoms bonded chemically, most frequently by covalent bonds, to form a molecule. Halogens are typically diatomic molecules; for example, chlorine is known as Cl2.

A pure substance is made up of various elements that have been chemically combined. Ionic chemicals that are connected by ionic bonds are the most common way to observe this. Please remember that a compound is not the same as a mixture! Keep in mind that a combination is not linked chemically.

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How to find the greatest impulse

Answers

The impulse is equal to the average net external force times the length of time it takes for that force to act, as shown by the equation.

How do you calculate the impulse?p = F net t. Fnet t Fnet The impulse-momentum theorem describes the relationship between the quantities t and.The impulse is equal to the average net external force times the length of time it takes for that force to act, as shown by the equation.The momentum shift is equivalent to it.Momentum changes more dramatically the stronger the stimulus.Either the force's output or the time span over which it acts can be altered to alter the impulse.Momentum change is equivalent to impulse.Mv - mu = ft.The change in momentum has the same area under a force-time graph as the force.

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if the total number of joints (n) in a simple truss is three (3), calculate the total number of members (m) in the truss.

Answers

If the total number of joints in a simple truss is three, the total number of members in the truss is three.

What is truss?

In engineering, a truss is a structural member made of straight pieces of metal or wood that are joined together to form a series of triangles that lie in a single plane. Roofs, bridges, and towers are the most common structures that use trusses. Truss structures are classified into three types: simple, planar, and space frame. Various truss varieties have been developed over the years within these three basic types. A framework is made up of straight members joined at their ends to form a truss structure. Trusses can support both moving and stationary loads. Trusses are commonly used in roof supports, bridges, and other similar structures.

Here,

m=2j-3

j=3

m=2*3-3

m=3

The total number of members in the truss is 3 if the total number of joints in a simple truss is three.

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a steel pad supporting heavy machinery rests on four short, hollow, cast iron piers (see figure). the ultimate strength of the cast iron in compression is 50 ksi. the outer diameter of the piers is d 5 4.5 in., and the wall thickness is t 5 0.40 in. using a factor of safety of 3.5 with respect to the ultimate strength, determine the total load p that can be supported by the pad.

Answers

Respect to the ultimate strength, determine the total load p=294k that can be supported by the pad.

What is meant by strength?

Strength is frequently described as "the maximal force that a muscle or set of muscles can exert during a single contraction."Positive character characteristics or abilities are referred to as strengths. Knowledge, characteristics, abilities, and talents are examples of strengths. In contrast, weaknesses are shortcomings.Your strengths should typically be abilities that are reinforced by experience. If communication is one of your strengths, for instance, think back to a time when you used it to accomplish a task or solve a problem.Self-motivation, listening skills, and the ability to do tasks correctly and swiftly are some of my strongest traits.

σ U =50ksi

n=3.5

σ allow = nσ /U = 50ksi/3.5 =14.29ksi

d=4.5in.

t=0.4in.

[tex]d_{0}[/tex] =d−2t=3.7in.

A= π/4 [tex](d^{2} -d^{2} _{0})[/tex] = π/4[[tex](4.5in.)^{2} (3.7in.) ^{2}[/tex] ]=5.152[tex]in.^{2}[/tex]

P 1 = allowable load on one pier

P 1 =σ allowA =(14.29ksi)(5.152[tex]in.^{2}[/tex])=73.62k

Total load P = [tex]4P_{1}[/tex]=294k

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in an electric circuit, a single wire is connected to three branches that contain resistors. the three branches then connect back to a single wire. the current in each of the single wires is the same. conservation of which of the following best explains this phenomenon?

Answers

The current in each of the single wires being the same in an electric circuit with a single wire connected to three branches that contain resistors and then connecting back to a single wire is explained by the conservation of charge.

What is conservation of charge?

Conservation of charge states that total charge in an isolated system remains constant. In electric circuit, charge flows through circuit in the form of electric current. Therefore, amount of charge flowing into any point in the circuit must be equal to the amount of charge flowing out of that point.

This means that current flowing into a branch in the circuit must be equal to the current flowing out of that branch. As the current in the single wire connected to the three branches is the same, current flowing into and out of each branch must also be the same, as per the conservation of charge principle.

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A 65.2 kg base runner begins his slide into second base while moving at a speed of 4.93 m/s. He slides so that his speed is zero just as he reaches the base. The acceleration of gravity is 9.8 m/s². What is the magnitude of the mechanical energy lost due to friction acting on the run- ner? Answer in units of J.​

Answers

Answer:

  about 792 J

Explanation:

You want the mechanical energy lost by a 65.2 kg base runner who slides into second base from a speed of 4.93 m/s, reaching the base with a speed of 0.

Kinetic energy

The runner's kinetic energy is ...

  KE = 1/2mv²

  KE = 1/2(65.2 kg)(4.93 m/s)² = 792.33974 J

As the runner slides into second base, his speed decreases to zero, so all of his kinetic energy is lost to friction.

The energy lost to friction is about 792 J.

In physics, the amount of work done on an object is the product of ______________.

Answers

Answer:

In physics, the amount of work done on an object is the product of the force applied to the object and the distance over which the force is applied, also known as the force's displacement. Mathematically, it is represented as W = F * d.

Explanation:

a cup of hot tea initially at 95*c, cools to 75*c, in 5.0 minutes when sittinf in 25*c surroundings. use newton's law of cooling to determine how long it will take to cool to 35*c

Answers

According to Newton's law of cooling, the rate of cooling is inversely related to the temperature differential between the object and its surroundings. For this, the equation is:

dT/dt = k (T - Ts) (T - Ts)

where T is the object's temperature, Ts is the environment's temperature, and k is the cooling constant. where dT/dt is the rate of change in temperature.

This equation can be used to calculate the cooling constant k for the cup of tea. We know that the temperature started off at 95 degrees Celsius, dropped to 75 degrees Celsius, and took 5 minutes to cool down.

95 - 75 = 20, dT/dt = k (20), dT/dt = k (20) *(1/5), and dT/dt = 4k.

Then, we can determine how long it will take for the temperature to cool to the desired level by using this cooling constant and the target temperature (35°C).

35 - 75 = -40\s-40 = 4k(t) (t)

t = -40 / 4k

We are unable to solve for t since we lack the value for k. But if we assume that the cooling rate is comparable to the rate we currently know, we can come up with an estimate. If we assume that the rate of cooling is constant, we can calculate how long it will take for the tea to cool from 75 to 35 degrees by using the rate of cooling from 95 to 75 degrees.

t = -40/20 equals 2 minutes.

It would take around 2 minutes to cool the tea from 75c to 35c under the assumption of similar cooling rate.

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What fraction of its initial kinetic energy is lost?
Express your answer using two significant figures.
K lost/ K initial=?

Answers

The fraction of its initial kinetic energy lost can be estimated to be 0.10 to 0.20.

What is initial kinetic energy?

Initial kinetic energy is the energy possessed by an object due to its motion. It is the energy of an object before any other external forces, such as gravity, friction, or air resistance, act upon it. Kinetic energy is a scalar quantity, meaning it has magnitude but not direction.

The fraction of kinetic energy lost will depend on the nature of the collision and the amount of energy dissipated. Generally, it is estimated that about 10% to 20% of the initial kinetic energy is lost in a collision. Therefore, the fraction of its initial kinetic energy lost can be estimated to be 0.10 to 0.20.

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