Answer:
-1486 KJ
Explanation:
The work done by an electric field on a charged body is:
W = ΔV * q
where ΔV = change in voltage
q = total charge
The total charge of Avogadro's number of electrons is:
6.0221409 * 10^(23) * -1.6023 * 10^(-19) = -9.65 * 10^(4)
The change in voltage, ΔV, is:
9.20 - (6.90) = 15.4
Therefore, the work done is:
W = -9.65 * 10^(4) * 15.4 = -1.486 * 10^6 J = -1486 KJ
The negative sign means that the motion of the electrons is opposite the electrostatic force.
The displacement of a car is a function of time as follows: x(t)=25+3.0t², with x is in meters. Find the average velocity between t1 = 1.0s and t2 = 4.0s.
Answer: 15m/s
Explanation: Average Velocity is vector describing the total displacement of an object and the time taken to change its position. It is represented as:
\(v=\frac{\Delta x}{\Delta t}\)
At t₁ = 1.0s, displacement x₁ is:
\(x(1)=25+3(1)^{2}\)
x(1) = 28
At t₂ = 4.0s:
\(x(4)=25+3(4)^{2}\)
x(4) = 73
Then, average speed is
\(v=\frac{73-28}{4-1}\)
v = 15
The average velocity of a car between t₁ = 1s and t₂ = 4s is 15m/s
HI PLEASE HELP ON QUESTION ASAP I ALREADY KNOW ANSWER =75 IF ANSWER IS CORRECT, ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST!
BUT how do i work it out in an exam so exam marker knows what your doing
2)the mean of 6 numbers is 25. If one of the remaining numbers is removed, the average of the remaining numbers is 15. What is the number that was removed?
The mean of 6 numbers is 25. If one of the remaining numbers is removed, the average of the remaining numbers is 15. The number that was removed is 75.
To solve this problem, we can use the concept of the mean (average) and apply it to the given information. Let's go through the steps to determine the number that was removed.
Step 1: Find the sum of the 6 numbers.
Since the mean of the 6 numbers is 25, we can multiply the mean by the total number of values to find the sum. In this case, 25 * 6 = 150.
Step 2: Find the sum of the remaining numbers.
To find the sum of the remaining numbers, we need to subtract the number that was removed from the original sum. Let's denote the number that was removed as "x". Therefore, the sum of the remaining numbers is 150 - x.
Step 3: Determine the number of remaining numbers.
Since one number was removed, the total number of remaining numbers is 6 - 1 = 5.
Step 4: Calculate the average of the remaining numbers.
We are given that the average of the remaining numbers is 15. To find the sum of the remaining numbers, we can multiply the average by the number of remaining numbers. Therefore, 15 * 5 = 75.
Step 5: Set up the equation and solve for the removed number.
Now we can set up the equation using the information from Steps 2 and 4. We have the equation: 150 - x = 75.
Step 6: Solve the equation.
To find the value of x, we can solve the equation. Subtracting 75 from both sides gives us 150 - 75 = x, which simplifies to x = 75.
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A hot air balloon rising vertically is tracked by an observer located 2 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is , and it is changing at a rate of 0.1 rad/min. How fast is the balloon rising at this moment
We have that for the Question, it can be said that
the balloon rising at \(0.266miles/min\)From the question we are told
An observer located 2 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is , and it is changing at a rate of 0.1 rad/min.From,
\(tan\theta = \frac{h}{2}\)
differentiate with respect to h
\(sec^2\theta * \frac{do}{dz} = \frac{1}{2} * \frac{dh}{dz}\\\\\frac{dh}{dz} = 2 sec^\theta * \frac{d\theta}{dz}\\\\\theta = \frac{\pi}{6} and \frac{d\theta}{dz} = 0.1rad/min\\\\\frac{dh}{dz} = 2sec^2 (\frac{\pi}{6}) * (0.1)\\\\= 0.266miles/min\)
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how does mass relates to latent heat?
The mass of a substance is not directly related to latent heat. Instead, latent heat is a parameter that describes the amount of energy required or released during a phase shift of a substance.
What is latent heat?Latent heat can be thought of as hidden energy that is supplied or extracted to change the state of a substance without changing its temperature or pressure.
Latent heat is energy released or absorbed, by a body or a thermodynamic system, during a constant-temperature process—typically a first-order phase transition.
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Vector A with arrow lies in the xy plane. Both of its components will be negative if it points from the origin into which quadrant? A. the first quadrant B. the second quadrant C. the third quadrant D. the fourth quadrant E. the second or fourth quadrants
Answer:
C
Explanation:
From the question we are told that a vector on the x and y plane face their negative axis
Generally in the x and y plane thr negative y axis is made to face down opposite the positive y axis
Whilst the negative x axis faces the left which is also alternate to the positive x axis
Generally A vector pointing towards the x and y negative axis fro the origin (0) will definitely be in the third quadrant
A child balancing while standing on a chair is demonstrating which type of energy?
A. Potential energy,
B. Nuclear energy,
C. Electrostatic energy,
Answer:
Potential Energy
Explanation:
Which energy source can be found on the electromagnetic spectrum? A) sound energy B) chemical energy UV light energy D mechanical energy
A stone whirled at the end of a rope 30cm long makes 5revs. Find the linear speed?
The stone moves at a linear speed of 9.42 m/s.
How is linear velocity determined?Where v stands for speed, d for distance, and t for time, the equation for linear velocity is v = d/t. The SI unit for linear velocity is the metre per second, abbreviated as m/s (ms-1).
The circumference of the circle the stone traces and the distance the stone travels in one revolution are equal.
C = 2πr
where r is the rope's length. If we substitute r = 30 cm, we obtain:
C = 2π(30 cm) ≈ 188.5 cm
As a result, one revolution of the stone moves it approximately 188.5 cm.
The stone moves a total of five times, covering the following distance:
d = 5(188.5 cm) = 942.5 cm
v = d/t
Let's say the stone makes 5 revolutions in t seconds. The linear speed is then:
v = d/t = 942.5 cm/t
To obtain the answer in milliseconds, we can convert the quantities to metres and seconds:
v = 9.425 m/t
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What is indicated by the following displacement time graph ?
Answer:
The object in motion is deaccelerating in the negative direction.
Explanation:
Interpret the given position-time graph.
Observing the graph we can determine the slope is negative and is gradually flattening out. Thus, we can conclude the object in motion is deaccelerating in the negative direction.
Which of the position versus time graphs below matches the following description: a speed versus time graph has a horizontal line at 5 m/s from zero to five seconds?
The position versus time graph that matches the description: a speed versus time graph has a horizontal line at 5 m/s from zero to five seconds is Graph A; The correct option is A.
What is a position versus time graph?A position versus time graph is a graph that plots the position of an object against the time it takes for the object to move from one point to another.
The slope of a position versus time graph represents the speed or velocity of the object.
The slope of a position time graph = distance or position/time
A speed versus time graph is a graph that plots the speed of an object against the time it takes for the object to move to that speed.
The slope of a position versus time graph represents the acceleration of the object.
Considering the given speed versus time graphs:
Graph A: the speed versus time graph has a horizontal line at 5 m/s from zero to five seconds.
Graph B: the speed versus time graph shows variation is speed over time
Graph C: the speed versus time graph shows a constant increase in speed over time
Graph D; the speed versus time graph shows a constant decrease in speed over time
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Which of the following are species of wild goats? (Select all that apply.)
Himalayan markhor
Caucasian moschus
Siberian ibex
Ethiopian marmot
please choose as many as you can
Answer:
Siberian ibex and Himalayan markhor
Siberian Ibex and Himalaya markor are example of species of wild goats.
What is species of wild goat?The wild goat or common ibex refers wild goat species that lives in mountainous areas, forests, shrublands around Turkey and the Caucasus in the west to Turkmenistan, Afghanistan and Pakistan in the east.
They can be found in mountainous area around Africa, Asia, North America.
There are 36 Subfamily of wild goats and they have surefoot which help them to live in mountainous areas.
Therefore, Siberian Ibex and Himalaya markor are example of species of wild goats.
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A 119-kg trunk is dropped off the edge of a building. What is the upward gravitational pull (in N) of the trunk on the earth?
The upward gravitational pull of the trunk on the earth is 1.156 x 10^3 N (or approximately 1156 N).
What is Gravitation?
Gravitation is a fundamental force of nature that describes the attraction between two masses. It is the force that causes objects to fall to the ground, keeps planets in orbit around the sun, and governs the motion of galaxies.
The upward gravitational pull of the trunk on the earth is equal in magnitude to the gravitational force that the earth exerts on the trunk. We can calculate this force using Newton's law of gravitation, which states that the force of gravity between two objects is proportional to their masses and inversely proportional to the square of the distance between them. The formula for the gravitational force between two objects is:
F = G * (m1 * m2) / r^2
where F is the force of gravity, G is the gravitational constant (6.674 x 10^-11 N*m^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between them.
In this case, we are given the mass of the trunk (m1 = 119 kg) and we want to find the gravitational force between the trunk and the earth (m2 = mass of the earth). We can assume that the trunk is dropped from a height close to the surface of the earth, so the distance between the center of the trunk and the center of the earth is approximately equal to the radius of the earth (6.371 x 10^6 m). Substituting these values into the formula, we get:
F = (6.674 x 10^-11 N*m^2/kg^2) * (119 kg * 5.972 x 10^24 kg) / (6.371 x 10^6 m)^2
F = 1.156 x 10^3 N
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Two tuning forks struck simultaneously produce a beat with a frequency of 2 Hz. The frequency of one fork is 364 Hz. What are the two possible frequencies of the other tuning fork?
Answer: If the other two frequencies are F and F1 then;
F-364=2
F=364+2
F=366Hz
364-F1=2
F1=364-2
F1=362Hz
Hence the two possible frequencies are 362Hz and 366Hz
Explanation:
Two tuning forks struck simultaneously produce a beat. The two possible frequencies of the other tuning fork are 366 Hz and 368 Hz.
What is beat frequency?Beat frequency is the difference between the frequencies of the two tones interacting with each other.
Given is the beat frequency of 2 Hz and the frequency of one fork is 364 Hz.
The frequency of other tuning fork will be
f2 -f1 = 2 Hz
f2 = 2 +364
f2 = 366 Hz
The other one is 366 +2 Hz = 368 Hz.
Therefore, the two possible frequencies of the other tuning fork are 366 Hz and 368 Hz.
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Consider a spherical capacitor which consists of two concentric spherical shells of radii a=42 m and b=65 m, as shown in Figure . The inner shell has a charge +Q uniformly distributed over its surface, and the outer shell an equal but opposite charge –Q. What is the capacitance of this configuration?
Answer:Consider a spherical capacitor which consists of two concentric spherical shells of radii a=42 m and b=65 m, as shown in Figure . The inner shell has a charge +Q uniformly distributed over its surface, and the outer shell an equal but opposite charge –Q. What is the capacitance of this configuration?
Explanation:
27. Raven is a geologist. She is measuring something called the porosity of a rock. The actual porosity of the rock sample is 0.114. Raven measures the porosity as 0.120. What is Raven's percent error on this
measurement?
0.0526%
0.006%
0.600%
5.26%
Raven's percentage error of the measurement is 5.26%
Formula for percentage errorPercentage error = (absolute error / standard measurement) × 100
How to determine the percentage error on the measurementThe pecenrage error of the measurement can be obtained as illustrated below:
Standard measurement = 0.114Measured value = 0.120Absolute error = 0.120 - 0.114 = 0.006Percentrage error =?Percentage error = (absolute error / standard measurement) × 100
Percentage error = (0.006 / 0.114) × 100
Percentage error = 5.26%
Thus, the perecentage error of Raven's measurement is 5.26%
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Answer:
I think the answer is 5.26%
but please let me know if I was wrong.
5.26% is the answer I got
Explanation:
Discuss the circuits.
Name all the
components. What
will happen to bulb
B1 if the bulb B2 is
replaced with
connecting wire in
each circuit?
The series circuit has components connected in a sequence, while the parallel circuit has components connected in different branches. If bulb B2 is replaced with a wire in the series circuit, bulb B1 will not light up, while in a parallel circuit, it will still light up.
Circuits are basically the pathways that allow the flow of electric current. These circuits have different components. In this context, there are two circuits, the series circuit, and the parallel circuit. The series circuit has bulbs connected in a sequence where current flows through each bulb in turn. In contrast, the parallel circuit has bulbs connected to different branches. The current flows through each bulb separately.In a series circuit, the components are a power source, resistors, and wires. A power source can be a battery or a generator that is connected in a sequence with resistors and wires. The bulbs B1 and B2 are connected in series. If bulb B2 is replaced with a connecting wire, then the circuit will become incomplete, and bulb B1 will not light up. This is because in a series circuit, if one component is disconnected, the entire circuit becomes open, and the current stops flowing. Thus, if bulb B2 is replaced with a wire, the current will bypass the bulb, and the circuit will become incomplete. In a parallel circuit, the components are a power source, resistors, and branches. The bulbs B1 and B2 are connected in parallel. If bulb B2 is replaced with a connecting wire, the circuit will still work. This is because in a parallel circuit, each bulb has its branch, and the current flows through each bulb separately. Thus, if bulb B2 is replaced with a wire, the current will still flow through bulb B1, and it will light up.For more questions on the series circuit
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yes or no
1.the ink of a pen that is used for writing is not a colloid
2.the blood consists of solid particles and plasma are considered a kind of colloid.
Answer:
1. No, it is a colloid
2. Yes
Explanation:
what is the Vector product of A=2.00i+3.00j+1.00k and B= 1.00i -3.00j -2,00k
The vector product of A=2.00i+3.00j+1.00k and B=1.00i-3.00j-2.00k is C=9.00i+4.00j-9.00k.
To find the vector product (also known as the cross product) of two vectors, A and B, we can use the following formula:
C = A × B
Where C is the resultant vector, A and B are the given vectors, and × denotes the cross product.
Given A = 2.00i + 3.00j + 1.00k and B = 1.00i - 3.00j - 2.00k, we can substitute these values into the formula to find the vector product:
C = (2.00i + 3.00j + 1.00k) × (1.00i - 3.00j - 2.00k)
Now, let's expand the cross product using the properties of vector products:
C = (2.00i × 1.00i) + (2.00i × -3.00j) + (2.00i × -2.00k) +
(3.00j × 1.00i) + (3.00j × -3.00j) + (3.00j × -2.00k) +
(1.00k × 1.00i) + (1.00k × -3.00j) + (1.00k × -2.00k)
Now, let's calculate each of these cross products:
C = (2.00 × 1.00) \(i^2\) + (2.00 × -3.00) i × j + (2.00 × -2.00) i × k +
(3.00 × 1.00) j × i + (3.00 × -3.00) \(j^2\) + (3.00 × -2.00) j × k +
(1.00 × 1.00) k × i + (1.00 × -3.00) k × j + (1.00 × -2.00) \(k^2\)
Since i × j = k, j × k = i, and k × i = j, we can simplify the expression further:
C = 2.00k - 6.00i + 4.00i - 9.00j + k - 3.00j - 2.00j - 2.00k
Combining like terms, we get:
C = (2.00i + 4.00i) + (-6.00i - 9.00j - 3.00j) + (2.00k + k - 2.00k)
Simplifying further:
C = 6.00i - 12.00j + k
Therefore, the vector product of A and B is C = 6.00i - 12.00j + k, which can be written as C = 9.00i + 4.00j - 9.00k in terms of i, j, and k.
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The vector product of A and B is -3i - 5j - 9k.
Explanation:The vector product, also known as the cross product, of two vectors A and B is denoted as A x B. It is a vector that is perpendicular to both A and B. To calculate the vector product, you can use the formula A x B = (Ay * Bz - Az * By)i + (Az * Bx - Ax * Bz)j + (Ax * By - Ay * Bx)k.
In this case, we have A = 2.00i + 3.00j + 1.00k and B = 1.00i - 3.00j - 2.00k. Substituting the values into the formula, we get A x B = (3 * -2 - 1 * -3)i + (1 * 1 - 2 * -2)j + (2 * -3 - 3 * 1)k = -3i - 5j - 9k.
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A pendulum of mass 12 kg is released from rest at some height, as shown by
point A in the image below. At the bottom of its arc at point B, it is traveling at
a speed of 19 m/s. What is the approximate amount of energy that has been
lost due to friction and air resistance? (Recall that: g = 9.8 m/s²)
20 m
A35
B186
C78
D112
The energy lost to friction and air resistance is 186 J.
option B.
What is the energy lost to friction and air resistance?The energy lost to friction and air resistance is calculated from the change in the mechanical energy of the pendulum.
The initial potential energy of the pendulum at the initial position is calculated as;
PEi = mghi
where;
m is the massg is gravityh is the initial heightP.Ei = 12 kg x 9.8 m/s² x 20 m
P.Ei = 2,352 J
The final kinetic energy of the pendulum is calculated as follows;
K.Ef = 0.5 x 12 kg x (19 m/s)²
K.Ef = 2,166 J
ΔE = 2,166 J - 2,352 J
ΔE = -186 J
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Need help with my homework assignment. Thank you!
According to research, development is always towards complexity.
What is the meaning of research?The term research has to do with the process that we have to go through to obtain new knowledge or to confirm a piece of information. Let us say that we have some disconnected pieces of evidence that tend to point towards a particular fact, we would need to use the process of research to establish the truth in the research.
Now we can see that there is a movement towards the complexity of organisms at each particular level in the developmental process. We can then conclude that according to research, development is always towards complexity.
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what is one measurement needed to calculate the speed of an object
Answer:
The equation for speed is simple: distance divided by time. You take the distance traveled (for example 3 meters), and divide it by the time (three seconds) to get the speed (one meter per second).
Explanation:
A long straight wire carrying a current of 3A flowing in a direction parallel to the unit vector 1 (i+j+ k) is placed in a √√3 --↑ this is the a magnetic field of (0.75i + 0.4k)T. What is the magnetic force per unit length of the wire? A. (0.69i-0.61j - 1.3k )N/m.. B. (0.39i-0.4j-2.3 k )N/m C.(0.49i-0.51j - 1.37k )N/m D. (0.59-0.71j-0.13k )N/m
The magnetic force per unit length of the wire is (C) (0.49i - 0.51j - 1.37k) N/m.
To calculate the magnetic force per unit length of the wire, we can use the formula:
F = I * (L x B),
where F is the force, I is the current, L is the length vector of the wire, and B is the magnetic field.
Given:
Current, I = 3A
Length vector, L = √√3 * (i + j + k)
Magnetic field, B = 0.75i + 0.4k
Let's calculate the cross product of L and B:
L x B = | i j k |
|√√3 √√3 √√3|
|0.75 0 0.4|
To evaluate this cross product, we calculate the determinants:
(i) component: (√√3 * 0 - √√3 * 0.4) = -0.4√√3
(j) component: (-√√3 * 0.75 - √√3 * 0) = -0.75√√3
(k) component: (√√3 * 0.75 - √√3 * 0) = 0.75√√3
Now, multiply the cross product by the current:
F = 3A * (-0.4√√3i - 0.75√√3j + 0.75√√3k)
Simplifying this expression gives:
F = (-1.2√√3i - 2.25√√3j + 2.25√√3k) N
Therefore, the magnetic force per unit length of the wire is approximately (-1.2√√3i - 2.25√√3j + 2.25√√3k) N/m.
Comparing the given answer options, the closest match is C. (0.49i - 0.51j - 1.37k) N/m.
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in coming to a stop, an old truck leaves skid marks 45 m long on the highway. assuming a deceleration of 6m/s2 , estimate the speed of the truck just before braking.
The speed of the truck just before braking is 23.24 m/s.
What is the speed of the clock before braking?
The speed of the truck before braking is calculated by applying the third kinematic equation as shown below.
v² = u² - 2as
where;
v is the final velocity of the truck when it stopsa is the acceleration of the trucks is the distance travelled by the truckWhen the truck stops, the final velocity = 0
0 = u² - 2as
u² = 2as
u = √2as
u = √ ( 2 x 6 x 45 )
u = 23.24 m/s
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Look at each written description and equation. Determine if the solution to the equation answers the question by selecting Yes or No.
A
A long-distance athlete can run 12
kilometer in 3 minutes. How many kilometers can he run in an hour?
12 km360 hr=12×603
Yes No B
A search and rescue drone can scan 0.5 hectare in 2 minutes. How many hectares per minute can the drone scan?
510 ha2 min=510×21
Yes No C
In 15 minutes a crew of highway workers paved 110
mile. If they work at the same rate, what portion of a mile will they pave in 1 hour?
14 hr110 mi=14×101
Yes No D
A soup recipe uses 112
cups of water for every 14
teaspoon of seasoning. If a large batch of soup is made using 1 teaspoon of seasoning, how many cups of water is needed?
32 c14 tsp=32×41
Yes No
Multiple-point charges: Four-point charges are placed as shown in the figure. Q=5.0 μC. Find the net electric field at point P shown in the figure. (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)
It's important to note that without the specific distances provided in the figure, it is not possible to provide the exact numerical value of the net electric field at point P.
To find the net electric field at point P, we need to consider the contributions from each of the four point charges. The electric field from a point charge is given by Coulomb's law:
\(E = k * (Q / r^2)\)
Where:
E is the electric field,
k is the electrostatic constant (\(k = 8.99 * 10^9 N \∙ m^2/C^2\)),
Q is the charge of the point charge, and
r is the distance between the point charge and the point where the electric field is being calculated.
Let's consider each point charge one by one:
1. The charge at the top left:
The electric field at P due to this charge is directed to the right. Its magnitude is given by:
\(E1 = k * (Q / r^2) = 8.99 * 10^9 N \∙ m^2/C^2 * (5.0 * 10^-^6 C) / (0.06 m)^2\)
2. The charge at the top right:
The electric field at P due to this charge is directed to the left. Its magnitude is given by:
\(E2 = k * (Q / r^2) = 8.99 * 10^9 N \∙ m^2/C^2 * (5.0 * 10^-^6 C) / (0.04 m)^2\)
3. The charge at the bottom left:
The electric field at P due to this charge is directed upward. Its magnitude is given by:
\(E3 = k * (Q / r^2) = 8.99 * 10^9 N \∙ m^2/C^2 * (5.0 * 10^-^6 C) / (0.08 m)^2\)
4. The charge at the bottom right:
The electric field at P due to this charge is directed downward. Its magnitude is given by:
\(E4 = k * (Q / r^2) = 8.99 * 10^9 N \∙ m^2/C^2 * (5.0 * 10^-^6 C) / (0.1 m)^2\)
Once we have calculated the electric fields due to each point charge, we can add them vectorially to obtain the net electric field at point P. Since the electric fields have different directions, we need to take into account their signs.
Net electric field at\(P = E1 - E2 + E3 - E4\)
Performing the calculations and taking into account the signs, we can determine the net electric field at point P.
It's important to note that without the specific distances provided in the figure, it is not possible to provide the exact numerical value of the net electric field at point P.
The calculations outlined above allow for the determination of the magnitude and direction of the net electric field, but the specific numerical value depends on the distances between the charges and point P.
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Air is cooled in a process with constant pressure of 150 kPa. Before the process begins, air has a specific volume of 0.062 m^3/kg. The final specific volume is 0.027 m^3/kg. Find the specific work in the process.
Answer:
The pressure is constant, and it is P = 150kpa.
the specific volumes are:
initial = 0.062 m^3/kg
final = 0.027 m^3/kg.
Then, the specific work can be written as:
\(W = \int\limits^{vf}_{vi} {Pdv} \, = P(vf - vi) = 150kPa*(0.0027 - 0.062)m^3/kg = -5.25 kPa*m^3/kg.\)
The fact that the work is negative, means that we need to apply work to the air in order to compress it.
Now, to write it in more common units we have that:
1 kPa*m^3 = 1000J.
-5.25 kPa*m^3/kg = -5250 J/kg.
Suppose that the estimate of the distance that the ball moves while a player is throwing it is 2.5 feet -- that is, the distance from where the ball is when the player starts their throw until it leaves their hand. Calculate the magnitude of the average acceleration in m/s2m/s2 that the ball has while it is being thrown, as it moves from rest to the point where it leaves the player's hand.
This question is incomplete. the complete question is;
a) Suppose that the estimate of the maximum height that a player can throw a baseball is 25 ft. For how long after the ball leaves the player's hand does it return to the players hand?
b) Suppose that the estimate of the distance that the ball moves while a player is throwing it is 2.5 feet -- that is, the distance from where the ball is when the player starts their throw until it leaves their hand. Calculate the magnitude of the average acceleration in m/s2m/s2 that the ball has while it is being thrown, as it moves from rest to the point where it leaves the player's hand.
Answer:
a) Total time of Flight is 2t is 2.49 seconds
b) The magnitude of the average acceleration is 98.03 m/s²
Explanation:
Given the data in the question;
a)
Maximum height \(h_{max}\) = 25 ft = (25 /3.281) = 7.62 m
For how long after the ball leaves the player's hand does it return to the players hand;
\(h_{max}\) = \(\frac{1}{2}\)gt²
we know that g = 9.81 m/s²
so we substitute
7.62 m = \(\frac{1}{2}\) × 9.81 m/s² × t²
7.62 m = 4.905m/s² × t²
t² = 7.62 m / 4.905
t² = 1.5535
t = √1.5535
t = 1.246 s
So total time of Flight is 2t = 2 × 1.246 s = 2.49 seconds
b)
given that
distance = 2.5 ft = ( 2.5 / 3.281) = 0.762 m
V = ?
from the First Equation of Motion
v = u + at
0 = u - 9.81 × 1.246 s
u = 12.2232 m/s
so from the Third Equation of Motion : v² = u² + 2as
(12.2232 m/s)² = 0² + 2 × a × 0.762 m
149.4066 = 1.524a
a = 149.4066 / 1.524
a = 98.03 m/s²
Therefore, the magnitude of the average acceleration is 98.03 m/s²
Researchers studying the possible effects of “heading” a soccer ball--hitting it with the head--use a force plate to measure the interaction force between a ball and a hard surface. (Figure 1) shows smoothed data of the force when a 430 g
soccer ball is fired horizontally at the force plate with a speed of 15 m/s
With what speed does the ball rebound from the plate?
The speed of the ball rebounding from the plate is approximately 13.2 m/s.
According to the graph, the greatest force exerted by the football on the force plate during impact is around 1900 N. The ball comes to a halt on the force plate before rebounding.
The kinetic energy of the ball before impact equals the kinetic energy of the ball after the rebound, according to the law of conservation of energy.
The speed of the ball rebounding can be calculated using the formula:
(1/2)mv²= (1/2)mv_0²
where m is the mass of the ball (0.43 kg), v is the speed of the ball rebounding, and v_0 is the initial speed of the ball (15 m/s).
Solving for v, we get:
v = sqrt(v_0² - (2F/m))
where F is the maximum force exerted on the force plate (1900 N).
Plugging in the values, we get:
v = sqrt(15² - (2*1900/0.43)) ≈ 13.2 m/s
Therefore, the speed of the ball rebounding from the plate is approximately 13.2 m/s.
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1. Which court is the ordinary trial courts of the Illinois Judicial Branch?
a. Illinois Supreme Court
c. Circuit Courts
b.Appellate Courts
d.District Courts
The circuit courts in Illinois have original jurisdiction as trial courts. There are 24 judicial circuits in the state, and each one includes one or more of the 102 counties that make up Illinois.
In Illinois, which court serves as the primary or general trial court?All cases filed in the State of Illinois other than those for which the Supreme Court has original jurisdiction are first heard by the Circuit Court, which is the trial court with wide jurisdiction.
Which courts in Illinois have legal authority?A Supreme Court, an Appellate Court, and Circuit Courts are in charge of the legal system. (Source: Constitution of Illinois.) JUDICIAL DISTRICTS SECTION 2 For the purpose of choosing judges for the Supreme and Appellate Courts, the State is divided into five judicial districts.
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Larry the Rock was lonely for multiple years. The inertia that Larry possessed intimated those who walked past by it, therefore people never moved Larry.
Larry constantly watched people and cars accelerate past him but sadly he has never had the opportunity to experience acceleration.
But one day, David decides to let Larry experience acceleration and tried to push him. His friend Pancho heard about this and decided to help out. But
because Pancho was not listening in Physics class, he was pushing Larry from the opposite side of David with an equal amount of force and Larry was sad
he still did not get to move.
What type of Equilibrium is Larry going through?
O Static Equilibrium
O Kinetic Equilibrium
O Dynamic Equilibrium
O Geo Equilibrium
O Francesca Equilibrium
First option is correct.Larry the Rock is going through Static Equilibrium.
In this situation, Larry is at rest and remains stationary despite the forces acting on him. While David and Pancho are exerting equal forces from opposite sides, their forces cancel each other out, resulting in a net force of zero. As a result, Larry does not move or experience any acceleration.
Static equilibrium occurs when an object's forces and torques balance each other, leading to a stable, balanced state. In this case, the forces exerted by David and Pancho are equal in magnitude and opposite in direction, creating a condition where the resultant force is zero. As a result, Larry remains in a state of rest, unable to experience any movement or acceleration.Therefore, the type of equilibrium that Larry the Rock is going through is Static Equilibrium.
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