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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Marsha is pushing down and to the right on a 12 kg box at an angle of 30 degrees below horizontal. The box slides at a constant velocity across a carpet whose coefficient of kinetic friction with the box is 0.70. Determine the magnitude of applied force, normal force, and friction force.
To determine the magnitude of the applied force, normal force, and friction force, we can use the equations of motion.
The applied force (Fa) is the force that Marsha exerts on the box. It can be determined by the equation:
Fa = ma
where m is the mass of the box (12 kg) and a is the acceleration of the box (which is zero, since the box is moving at a constant velocity).
The normal force (FN) is the force exerted on the box by the surface it is sliding on, perpendicular to the surface. It can be determined by the equation:
FN = mg
where g is the acceleration due to gravity (9.8 m/s^2).
The friction force (Ff) is the force exerted on the box by the surface it is sliding on, parallel to the surface. It can be determined by the equation:
Ff = μFN
where μ is the coefficient of kinetic friction between the box and the surface (0.70).
So,
Fa = 12 * 0 = 0 N (since acceleration is zero)
FN = 12 * 9.8 = 117.6 N (perpendicular to the surface)
Ff = 0.7 * 117.6 = 82.32 N (parallel to the surface)
So the magnitude of applied force is 0 N, normal force is 117.6 N, and friction force is 82.32 N
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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?
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 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.
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 river flows with a uniform velocity v. a person in a motorboat travels 1.52 km upstream, at which time a log is seen floating by. the person continues to travel upstream for 91 min at the same speed and then returns downstream to the starting point, where the same log is seen again.
The velocity of the log relative to the river is 3.04 km/182 min = 0.017 km/min.
What is velocity?Velocity is a vector quantity that describes the rate and direction of the movement of an object or particle. It is composed of two components: speed and direction.
The speed of the river is constant and is denoted by v. Therefore, the velocity of the motorboat is v + u, where u is the speed of the motorboat relative to the river.
When the person travels 1.52 km upstream, the total distance covered by the motorboat is 1.52 km x (v + u). This is also the distance covered by the log during the same period of time.
The time taken by the person to travel upstream is 91 min. Therefore, the total time taken by the motorboat to cover the round trip (upstream + downstream) is 182 min.
The total distance covered by the motorboat during the round trip is 3.04 km x (v + u). Since the same log is seen again, the distance covered by the log during the round trip is also 3.04 km.
Therefore, the velocity of the log relative to the river is 3.04 km/182 min = 0.017 km/min.
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What fraction of its initial kinetic energy is lost?
Express your answer using two significant figures.
K lost/ K initial=?
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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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
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.To learn more about speed refer to:
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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)
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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In physics, the amount of work done on an object is the product of ______________.
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 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
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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Which of the following practices are common ways in which journalists misrepresent research studies in their media articles?
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.
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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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.
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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What is the average velocity of the marble?
note that 2 frames is one second
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 / ∆twhere;
∆x = change in position or displacement∆x = change in timeThe 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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a vertical air current that is generated by temperature-induced density differences (e.g., hot air rising) is an example of heat transfer by
Convection When a fluid, such as air or water, is heated and starts to circulate, heat transfer through convection takes place.
A cooler area is left behind when the hot fluid rises, carrying the heat energy it contains with it. As a result, energy is transferred from one place to another through a cycle of air or water currents. Convection is characterised by the vertical air current produced by temperature-induced density differences, such as hot air rising. Thermal convection is a crucial component of the climate system on Earth and is a type of convection. Convections always need a medium for the transfer of energy.
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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
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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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. [
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 gravityt = ( 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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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?)
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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999mm is added to 100 we get
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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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
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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How are atoms molecules, compounds, and pure substances
related?
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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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.
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 energyThe 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.
Hellooooooooooopooooooo
Answer:
Hi ??? what is your question
Explain the sources of instrumental errors
Answer:
A pH meter that reads 0.5 off or a calculator that rounds incorrectly would be the source of instrumental errors.
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.
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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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
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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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.
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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if the total number of joints (n) in a simple truss is three (3), calculate the total number of members (m) in the truss.
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 simple machine increases the distance that a force needs to be applied from 3 meters to 27 meters, and
the work done is 216 Joules. How much force is applied? (1 point)
a.8N
b.72 N
c.9N
d.81 N
the input force by the output force 2. by adjusting the force's necessary application direction 3. 3N4. W=△E5.
What is the most accurate explanation of direction?Direction can refer to the way something moves, the way you must go to get somewhere, the way something is beginning to take shape, or the direction you are facing. When you turn right rather than left, that is an illustration of direction.
What exactly is a feeling of purpose in life?Your direction perception refers to your capacity to generally understand where you are or which course to go, even if you're in a strange environment. He quickly got lost due to his weak sense of direction. If you claim someone
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How to find the greatest impulse
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.To learn more about impulse refer
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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.
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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