Answer:
15.33 m/s
Explanation:
We are here given that ,
Range = 24m (R)Maximum height= 6m (h)velocity of projection= ? (u)As we know that,
[tex]\longrightarrow R = \dfrac{u^2\sin2\theta}{g} \dots (1)\\[/tex]
And ,
[tex]\longrightarrow h =\dfrac{u^2\sin^2\theta}{2g} \dots (2)\\[/tex]
Divide equation 1 and 2 ,
[tex]\longrightarrow \dfrac{R}{h}=\dfrac{4 \cos\theta}{\sin\theta} \\[/tex]
[tex]\longrightarrow \dfrac{24m}{6m}=4 \cot\theta \\[/tex]
[tex]\longrightarrow \cot\theta = 1 \\[/tex]
[tex]\longrightarrow \theta = \cot^{-1}(1) \\[/tex]
[tex]\longrightarrow \underline{\underline{\theta = 45^{\circ}}}\\[/tex]
Now we may substitute this value in equation 1 as ,
[tex]\longrightarrow 24 =\dfrac{ u^2\sin(2\times 45^{\circ} )}{g} \\[/tex]
[tex]\longrightarrow 24g = u^2\sin90^\circ \\[/tex]
[tex]\longrightarrow u^2 = 24 \times 9.8 \\[/tex]
[tex]\longrightarrow u =\sqrt{235.2} m/s \\[/tex]
[tex]\longrightarrow \underline{\underline{ u \approx 15.33 \ m/s }}\\[/tex]
and we are done!
you got to the edge of the roof of the physics building and throw one of those other physics textbooks straight up with a speed of 15 m/s. how fast will the book be traveling just before it hits the ground 12m blow you
The book will be traveling at a speed of 15 m/s just before it hits the ground 12 m below you. Due to gravity, the speed of the book will increase as it falls and reach its maximum velocity of around 24.5 m/s just before it reaches the ground.
The book will be traveling at a speed of 15 m/s just before it hits the ground 12 m below you. Due to gravity, the speed of the book will increase as it falls and reach its maximum velocity of around 24.5 m/s just before it reaches the ground.
As the book falls, gravity will accelerate it toward the ground. The acceleration due to gravity, denoted as g, is a constant value of 9.8 m/s2. This means the book's velocity will increase by 9.8 m/s every second. Therefore, the book will reach its maximum velocity of 24.5 m/s after 2.5 seconds. After this point, the velocity will remain constant until it reaches the ground.
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Neglecting friction, if a Cadillac and Volkswagen start rolling down a hill together, the heavier Cadillac will get to the bottom:A. before the Volkswagen.B. at the same time as the Volkswagen.C. after the Volkswagen.
Answer is B. at the same time as the Volkswagen. Because without friction the mass will have no effect on acceleration.
How acceleration is effected by friction?
According to Newton's second law, an object's acceleration is inversely correlated with its net external force.
We now understand that the net force, also referred to as an unbalanced force, is the vector sum of all the forces that have been applied to the object. We are aware that friction frequently causes motion to go in the other direction. This implies that friction causes a contraction and cancels out some of the force that causes motion.
This suggests a smaller acceleration and a smaller net force.
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Let T R2 5 R2 be a linear transformation that sends the vector u = (5,2) into (2, 1) and maps 0 = (1,3) into (~1,3) . Use properties of a linear transformation to calculate T(Su) =( 25 ), T(_9v) =( T(Su 90)
To calculate T(Su 90), we use the fact that T is linear, meaning it respects and final answer is T(_9v) = -9*(-1,3) = (-45, 27).
What is the scalar ?A scalar is a single quantity that has magnitude but no direction. It is typically represented by a real number and is used to measure the magnitude of a physical or mathematical quantity. Examples of scalars include speed, temperature, mass, energy, and volume. Scalars are contrasted with vectors, which have both magnitude and direction.
T(Su) = (25, 5)
T(_9v) = (-45, 27)
T(Su 90) = (-225, -45) with explanation:
To calculate T(Su), we use the fact that T is linear, meaning it respects the distributive, associative, and scalar multiplication properties. Therefore, we can break down the expression into its constituent parts, T(S*u), which can be written as: T(S) * T(u).
Since S is a scalar (90) and u is a vector (5,2), we can calculate T(S) as 90*T(u) and T(u) as (2,1). Therefore, T(S*u) = 90*(2,1) = (180, 90).
To calculate T(_9v), we use the same principle and break down the expression into its constituent parts, T(_9)*T(v). Since _9 is a scalar and v is a vector (1,3), we can calculate T(_9) as -9*T(v) and T(v) as (-1,3). Therefore, T(_9v) = -9*(-1,3) = (-45, 27).
Finally, to calculate T(Su 90), we use the fact that T is linear, meaning it respects.
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A plane flying in a straight line in the sky moves a total of 5100m in one minute ( not in second) How far was it traveling on average?
Answer:
see below
Explanation:
Distance = 5100m
time = 1min = 60s
avg speed= distance/time
v = 5100m/60s
v = 85m /s
so the plane was traveling a average distance of 85m per second.
A 180 kg motorcycle travels in a straight line on a horizontal road. The relationship between motorcycle’s velocity and time are given by the above graph. What is the acceleration during the first 5 s? What is the net force during first 5 s? What is the acceleration from 5 s to 10s? What is the net force from 5 s to 10 s? What is the acceleration from 10 s to 15 s? What is the net force from 10 s to 15 s? What is the acceleration from 15 s to 25s? What is the net force from 15 s to 25 s?A 180 kg motorcycle travels in a straight line on a horizontal road. The relationship between motorcycle’s velocity and time are given by the above graph. What is the acceleration during the first 5 s? What is the net force during first 5 s? What is the acceleration from 5 s to 10s? What is the net force from 5 s to 10 s? What is the acceleration from 10 s to 15 s? What is the net force from 10 s to 15 s? What is the acceleration from 15 s to 25s? What is the net force from 15 s to 25 s?
Answer:
need points my fault
Explanation:
The formula of metal chloride is MC13. It contains 20% of the metal. The atomic weight of the metal is
(a) 27 (c) 127
(b) 56 (d) .48
Answer:
56
Explanation:
Given that the metal chloride formula is MC13, we can assume that the metal (M) is represented by the atomic symbol "M" and the atomic weight of chlorine (Cl) is 35.5.
Since 20% of the total weight of the compound is the metal, the atomic weight of the metal (M) can be calculated as:
M = (0.2 * (13 * 35.5 + M)) / 13 = 0.2 * 35.5 + 0.2 * M
Solving for M:
0.2 * M = (0.2 * 35.5) / (1 - 0.2) = 7.1
M = 7.1 / 0.2 = 35.5
So the atomic weight of the metal (M) is 35.5, and the answer is (b) 56.
Which one of the following can be done to shorten the half-life of the radioactive decay of uranium-238? a. oxidize it to the +2 oxidation state b. freeze it c. none of the above d. heat it e. convert it to UF6
First off, no known chemical, physical, or environmental approach can change the half-life of a radioactive species so option c. is the correct choice.
Additionally, since radioactivity is a nuclear phenomenon and oxidation is a chemical process, the half-life is unaffected by changes in oxidation.
Additionally, we are performing a chemical reaction by converting it to UF6.
Because U-235 has a shorter half-life than U-238 (700 million), UF6 includes a little amount of it (4.7 billion).
Only altering the state of the electrons around the nucleus can change the half-life of radioactive decay. We can alter a radioactive isotope's half-life by only altering the atoms that are bound to it in its immediate surroundings.
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does the compound with the molecular formula c5h11no have a spectrum of 1 nmr considering that the ir spectrum shows an absorption of around 3400
No, the molecular formula C5H11NO does not necessarily have an NMR spectrum of 1.
What is molecular formula?Molecular formula is a notation system used to represent the chemical elements and their relative ratios that make up a particular compound. It is written as a combination of symbols representing each element in the compound, with subscripts indicating the number of atoms of each element.
An NMR spectrum is determined by the type of nuclei present in the molecule and the environment of those nuclei. In this case, the molecule contains Carbon (C), Hydrogen (H), Nitrogen (N), and Oxygen (O) nuclei, and the IR spectrum shows an absorption at around 3400 cm-1. This could indicate the presence of a C=O bond, which could influence the NMR spectrum. Therefore, it is not possible to determine whether or not the compound has an NMR spectrum of 1 without further information about the structure of the molecule.
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2. How does your model demonstrate the differences between the types of tectonic plates and the resulting observations in the asthenosphere?
3. How did your hypotheses of your Tectonic Egg Model compare to your experimental results?
4. What are some shortcomings of using this model as a replicable of the Earth? Suggest a way that a scientist could create a more accurate model of Earth’s tectonic plates.
The answers include the following:
The model demonstrates the differences between the types of tectonic plates and in the asthenosphere there are two types of tectonic plates which are oceanic and continental.Hypotheses of your Tectonic Egg Model compare to your experimental results such that the former is denser due to it being formed from silica, magnesium etc. Some shortcomings of using this model as a replicable of the Earth is the absence of various materials and gases and a more accurate model of Earth’s tectonic plates can be done by making it rugged and youthful. What is Plate tectonics?This is referred to as a scientific theory that explains how major landforms are created as a result of Earth's subterranean movements.
The Tectonic Egg Model when compared to your experimental results is different such that the former is denser due to it being formed from silica, magnesium etc.
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600 ml of air is at 27c. What is the volume of 60c
The volume of 60c is 1333.33 ml
How to find the volumeThe volume of a gas is directly proportional to its temperature, provided the pressure remains constant. The equation for this relationship is:
V1 / T1 = V2 / T2
where
V1 is the initial volume,
T1 is the initial temperature,
V2 is the final volume, and
T2 is the final temperature.
when V1 = 600 ml and T1 = 27°C, we can solve for V2:
V2 = (V1 * T2) / T1
V2 = (600 ml * 60°C) / 27°C
V2 = 1333.33 ml
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he video shows a collapsing cloud of interstellar gas, which is held together by the mutual gravitational attractio
"The video shows a collapsing cloud of interstellar gas, which is held together by the mutual gravitational attraction of all the atoms and molecules that make up the cloud. As the cloud collapses, the overall force of gravity that draws the cloud inward because the strength of gravity follows an inverse square law with distance."
By the power of gravity, which is a natural phenomena, all objects with mass are drawn towards one another. It is most commonly experienced as the weight of objects pulling them toward the Earth’s centre. Gravity is the weakest of the four fundamental forces of nature, yet it is the most dominant force in determining the structure of the universe. It is the reason why planets, moons, and galaxies remain in their orbits.
Gravity is also responsible for the formation of stars and planets, as well as the attraction between objects such as planets and moons. The gravity between two objects depends upon their mass and distance between them. Gravity is an important factor in the motion of all objects in the universe and is directly responsible for the tides, the motion of the planets and their motion around the sun.
The question is incomplete. The complete question is 'The video shows a collapsing cloud of interstellar gas, which is held together by the mutual gravitational attraction of all the atoms and molecules that make up the cloud. As the cloud collapses, the overall force of gravity that draws the cloud inward because ___.'
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Humans have used many natural resources to the point of depletion.
They have also caused problems such as desertification and loss of
habitat. What is an example of a sustainable management practice
for natural resources?
An example of a sustainable management practice for natural resources is the adoption of conservation techniques and sustainable land-use practices, such as agroforestry.
What is agroforestry?Agroforestry refers to land-use systems and technologies in which woody perennials are intentionally used on the same land-management units as agricultural crops and/or animals in some form of spatial arrangement or temporal sequence.
Other practices include conservation agriculture, and ecologically based pest management, water harvesting and recharge, renewable energy production, reducing waste through recycling and composting, and engaging in sustainable forestry practices.
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Consider a planet orbiting the Sun in a noncircular orbit. It will slow down as it journeys away from the Sun and speed up as it moves closer to the Sun. A way of stating this motion is that the planet is______
A way of stating this motion is that the planet is accelerating towards the Sun and decelerating away from it.
This is because the gravitational force of the Sun is stronger when the planet is closer, and weaker when the planet is further away. As a result, the planet's speed changes as it moves along its orbit.
Planets orbit around the Sun in an elliptical path, which is shaped like an oval. This path is determined by the gravitational force of the Sun on the planet. The closer the planet is to the Sun, the faster it moves, and the further away it is, the slower it moves. This means that the planets can be closer or further away from the Sun depending on their position in their orbit. As the planets orbit the Sun, their distance from the Sun changes, and this causes the seasons on Earth.
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A hockey puck travels along the ice towards you, moving at a constant 8 m/s. You wish to meet the puck one quarter the distance from where you started (it travels the remaining three-quarter (3/4) distance t0 reach you).
A. If you start at rest, calculate the constant acceleration you would need to do this! Assume it takes youU seconds to meet the puck.
(Note that you don" know the initial distance between you and the puck)! (a=3 m/s2) B. Calculate the ratio of your average velocity to the puck's constant velocity: (-1/3)
Using algebraic expressions, the constant acceleration is represented as 2(d/4)/t^2 and the ratio of the the average velocity is 8/t
What is the constant accelerationA. To meet the puck one quarter of the distance from where you started, you need to cover one quarter of the total distance that the puck travels.
Let's call the initial distance between you and the puck "d". Then, the total distance the puck travels is d, and the distance you need to cover is d/4.
The time it takes for the puck to travel d is d/8 (since the puck's velocity is 8 m/s). The time it takes for you to cover d/4 is t.
Using the equation of motion, we can find the acceleration needed:
d = (1/2)at^2
d/4 = (1/2)(a)t^2
(1/2)(a)t^2 = d/4
a = 2(d/4)/t^2
We don't know the value of "d", so we cannot calculate the exact value of "a". But we can find it in terms of "t".
B. To calculate the ratio of your average velocity to the puck's constant velocity, we can use the equation:
v(average) = d/t
Let's call your average velocity "v". Then,
v/8 = d/(4t)
v/8 = d/4 * 1/t
v/8 = v(average)/t
v/8 = v(average)/t
v/v(average) = 8/t
Again, we don't know the value of "d" or "t", so we cannot calculate the exact value of the ratio. But we can represent it in terms of "t".
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When infrared radiation is absorbed by a greenhouse gas molocule the infared radiation can never leave earths atmospher. T/F?
The given statement about “When infrared radiation is absorbed by a greenhouse gas molecule the infrared radiation can never leave Earth atmosphere” is false, because the circulating infrared radiation in the atmosphere will eventually escape into space.
Greenhouse gases are needed in order to maintain a temperature on our planet that is suitable for the continuation of life. Without the natural greenhouse effect, the heat that the Earth radiates into space would simply escape outwards from the surface of the planet, and the average temperature of the planet would be somewhere about -20 degrees Celsius.
Because it emits energy into space as infrared radiation, which is invisible to the human eye, the Earth does not get hotter and hotter as it receives energy from the sun. The Earth must emit an amount of infrared radiation that is equal to the amount of energy that is absorbed from sunlight in order for there to be an energy balance. The temperature of the Earth affects how much infrared radiation energy it emits.
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Below are the blackbody curves for three different stars.
a.) Rank the temperature of the three stars from hottest to coldest.
b.) Which star will appear reddest? Which star will appear bluest?
(a) The ranking of the stars from the hottest to coldest is star A , star C and then star B.
(b) The star that will appear the reddest is star C and the star that will appear the bluest is star A.
Which star has the highest temperature?
The star with the highest temperature is determined by based on the energy of the stars.
The star with the highest temperature is ranked as follows;
star Astar C star BOn one end of the spectrum is red light, with the longest wavelength. Blue or violet light has the shortest wavelength. So the star that will appear the reddest is star C and the star that will appear the bluest is star A.
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A man pushes a lawn mower on a level lawn with a force of 211 N. If 50% of this force is directed forward, how much work is done by the man in pushing the mower 5.7 m?
Answer:
1201.7 N.m
Explanation:
The amount of work done by the man in pushing the mower 5.7 m can be calculated using the following formula: Work = Force x Distance. Therefore, the amount of work done by the man in this case can be calculated as: Work = 211 N x 5.7 m = 1201.7 N.m.
How do you solve Newton's law of cooling in differential equations?
Newton's law of cooling states that the rate of change of the temperature of an object is proportional to the difference between its own temperature and the temperature of its surroundings. This relationship can be mathematically modeled using a first-order ordinary differential equation.
The general form of the equation for Newton's law of cooling is:
[tex]dT/dt = k(T_s - T)[/tex]
where T is the temperature of the object, [tex]T_s[/tex] is the temperature of its surroundings, k is the constant of proportionality known as the cooling rate, and t is time.
To solve this differential equation, we need to find the function T(t) that satisfies the equation. One method to solve this equation is to use the method of separation of variables. We separate the variables T and t, integrate both sides, and then solve for T.
The solution to this differential equation gives us the time-dependent temperature of the object as it cools down to the temperature of its surroundings. This solution is useful in understanding the cooling process of objects in various real-world scenarios such as heat transfer in electronics, refrigeration, and air conditioning systems.
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If the _____of proteins changes, this is called a mutation
If the sequence of amino acids of proteins changes, this is called a mutation.
What is amino acid?Amino acids are the building blocks of proteins. They are organic molecules that contain an amino group (-NH2), a carboxyl group (-COOH), a side chain (R group) unique to each amino acid, and a central carbon atom.
There are 20 different types of amino acids that can be combined to form a protein. The specific sequence of amino acids determines the protein's three-dimensional structure and its function.
Amino acids play an important role in performing several biological and chemical functions in different parts of our body, including building and repairing the tissues, the formation and function of enzymes, food digestion.
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3. A water wave has a frequency of 2 hertz and a wavelength of 5 meters. Calculate its speed.
4.
A wave has a speed of 50 m/sec and a frequency of 10 Hz. Calculate its wavelength.
5.
A wave has a speed of 30 m/sec and a wavelength of 3 meters. Calculate its frequency.
6.
A wave has a period of 2 seconds and a wavelength of 4 meters.Calculate its frequency and speed.
Note: Recall that the frequency of a wave equals 1/period and the period of a wave equals 1/frequency.
7.
A sound wave travels at 330 m/sec and has a wavelength of 2 meters. Calculate its frequency and period.
8.
The frequency of wave A is 250 hertz and the wavelength is 30 centimeters. The frequency of wave B is
260 hertz and the wavelength is 25 centimeters. Which is the faster wave?
9. The period of a wave is equal to the time it takes for one wavelength to pass by a fixed point. You stand on a
pier watching water waves and see 10 wavelengths pass by in a time of 40 seconds.
a. What is the period of the water waves?
W
b. What is the frequency of the water waves?
C.If the wavelength is 3 meters, what is the wave speed?
A wave is a disturbance in a medium. It is a product of wavelength and frequency, and time period of a wave is the reciprocal of frequency of wave.
What is a Wave?A wave is a disturbance in a medium which carries energy without a net movement of particles in the medium. Wave may take the form of elastic deformation, a variation of pressure, electric or magnetic intensity, or temperature.
Speed of a wave = wavelength of the wave × Frequency of the wave
3. Frequency = 2 Hz, Wavelength = 5 m.
Speed of the wave = wavelength × Frequency
Speed of the wave = 2 × 5
Speed of the wave = 10 m/s
4. Speed of wave = 50 m/s, wavelength = 3 m
Speed of wave = wavelength of the wave × Frequency
frequency = Speed of wave/ wavelength
Frequency of wave = 50/3
Frequency of wave = 16.66 Hz.
5. Speed of wave = 30 m/s, wavelength = 3 m,
Frequency of wave = Speed of wave/ wavelength
Frequency of wave = 30/3
Frequency = 10 Hz.
6. Time period = 2 seconds, wavelength = 4 meters,
Frequency of wave = 1/T
Frequency = 1/2
Frequency = 0.5 Hz,
Speed of wave = Wavelength × Frequency
Speed of wave = 4 × 0.5
Speed of wave = 2 m/s
7. Speed of wave = 330 m/s, wavelength = 2 m
Frequency = ?
Time period = ?
Speed of wave = Wavelength × Frequency
Frequency = Speed of wave/ Wavelength
Frequency = 330/2
Frequency = 165 Hz,
Time period = 1/f
Time period = 1/165
Time period = 0.0060 seconds
8. Wave A: Frequency = 250 Hz, wavelength = 30 cm,
Wave B: Frequency = 260 Hz, wavelength = 25 cm,
Time period of Wave A = 1/ 250
Time period of Wave B = 1/ 260
Time period of Wave B is less than time period of Wave A. Therefore, Wave B is faster than Wave A.
9. Number of waves = 10, Total time = 40 seconds,
Therefore, time period = Number of waves/ Total time
Time period = 10/ 40
Time period = 1/4
Time period = 0.25 seconds.
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a) Work out the value of 2³ + 5²
b) Work out the value of 7^2-3³
c) Work out the value of 8^2+ √100
One pass traveled 63 yards from quarterback to receiver. The pass was thrown at 45 degree angle, what was the speed at which the ball left the quaterback’s hand?
The speed at which the ball left the quaterback’s hand was 23.76 m/s.
What is projectile motion?When a particle is hurled obliquely near the surface of the earth, it travels along a curved path while accelerating continuously in the direction of the planet's centre.
Such a particle's motion is known as projectile motion, and its route is referred to as a projectile.
The range of the pass is = 63 yards = 63 × 0.9144 meter = 57.6072 meter
Angle of projection = 45 °
Acceleration due to gravity = 9.8 m/s²
Hence, the initial speed is = √{(9.8 × 57.6072)/sin(2×45°)} m/s
= 23.76 m/s
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collars a and b are connected by a 25-in.-long wire and can slide freely on frictionless rods. consider a 105-lb force q applied to collar b as shown. determine the tension in the wire when x
a) The tension in the wire when x=9 is 60 lb.
b) The corresponding magnitude of the force P required to maintain the equilibrium of the system is 96 lb.
The tension in the wire and the corresponding magnitude of the force P required to maintain the equilibrium of the system:
1. Draw a free-body diagram for each collar.
2. Apply the principle of equilibrium to each collar.
Collar A:
[tex]\sum F_x = 0[/tex]
P - T = 0
P = T
Collar B:
[tex]\sum F_y = 0[/tex]
T - Q = 0
T = Q
Use the equations from step 2 to solve for T.
P = T = Q
T = 60 lb
3. Use the equation [tex]$T = \frac{F}{2} + \frac{P \cdot x}{l}$[/tex] to find the force P.
[tex]T = \frac{F}{2} + \frac{P \cdot x}{l} $$[/tex]
[tex]60 = \frac{F}{2} + \frac{P \cdot 9}{25} $$[/tex]
[tex]120 = F + \frac{9P}{25} $$[/tex]
[tex]120 = F + \frac{9}{25}P $$[/tex]
[tex]120 - \frac{9}{25}P = F $$[/tex]
[tex]\frac{25}{16}P = F $$[/tex]
[tex]P = \frac{16}{25}F $$[/tex]
[tex]P = \frac{16}{25} \cdot 120 $$[/tex]
[tex]P = \frac{16}{25} \cdot 120[/tex]
P = 96 lb
So, the tension in the wire when x=9 in is 60 lb and the corresponding magnitude of the force P required to maintain the equilibrium of the system is 96 lb.
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The question is -
Collars A and B are connected by a 25-inch-long wire and can slide freely on frictionless rods. If a 60 -lb force Q is applied to collar B as shown, determine (a) the tension in the wire when x=9 in. (b) the corresponding magnitude of the force P required to maintain the equilibrium of the system.
A box of mass m is hung by a spring from the ceiling of an elevator. When the elevator is at rest, the length of the spring is L = 1m.1)As the elevator accelerates upward, the length of the spring will be?a) L < 1 mb) L = 1 mc) L > 1 m
The spring needs to be stretched further in order to provide the additional upward force needed for acceleration, hence c) L > 1m.
What is elevator acceleration?
If the elevator is stationary or travelling at a constant speed, N = mg.
If the elevator has an upward acceleration, N = mg + ma.
If the elevator has a downward acceleration, N = mg - ma.
Your perceived weight is equal to the normal force.
As a result of the fact that in this instance both the individual and the elevator are initially travelling up at a constant speed before slowing down to rest on a higher floor. The elevator accelerates in a downward direction.
The spring needs to be stretched further in order to provide the additional upward force needed for acceleration, hence L > 1m.
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how to determine if the encoded and measured values of a resistor were within the tolerance of one the other?
The encoded and measured values of a resistor were within the tolerance of one the other is determined by colour code.
What is a resistor?In both electrical and electronic circuits, resistors can be used in a variety of ways to control the flow of current or to produce a voltage drop. However, the actual resistor must possess some sort of "resistive" or "resistance" value in order to accomplish this.
The larger width tolerance band oriented to the right side of the resistor colour code markings indicates its tolerance. The resistor colour code markings are always read one band at a time starting from the left to the right.
The first digit of the resistance value is identified by comparing the colour of the first band with its corresponding number in the digit column of the colour chart below.
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The electric potential V in a region of space is given as a function of positions x by the equation V = 6x−4x^2 , where V is in volts and x is in meters.
Find the magnitude of the electric field at the point (3,0).
The electric field E at a point in space is defined as the gradient of the electric potential at that point, which is the negative of the rate of change of the potential with respect to position. In this case, the gradient of the electric potential V can be found by taking the derivative of V with respect to x: dV/dx = 6 - 8x
The magnitude of the electric field at the point (3,0) is then given by the magnitude of the gradient at that point:
E =|dV/dx| = |6 - 8x| = |6 - 8(3)| = |-18| = 18 Volts/meter. So the magnitude of the electric field at the point (3,0) is 18 Volts/meter.
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A player hits a ball with a bat. The action force is the impact of the bat against the ball. What is the reaction to this force?A. The force of the ball against the batB. The weight of the ballc. C. Air resistance on the balld. D. The grip of the player's hand against the bate. E. none of the above
The reaction to this force is A: "The force of the ball against the bat".
Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction. When a player hits a ball with a bat, the action force is the impact of the bat against the ball. The reaction to this force is the equal and opposite force of the ball against the bat, meaning the ball will push back against the bat with the same amount of force that the bat hit it with.
So, the force of the ball against the bat is the equal and opposite reaction to the impact of the bat against the ball.
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The working formula for the electric charge (Eq.(13) in the text which is q = -K (vt^1.5)/V) contains a constant involving the properties of the gas environment, plastic sphere, and the electric field chamber. List these properties, together with their SI units of measurement?
[tex]\mathrm{K = 4\pi \epsilon_0r}[/tex], where ε_0 is the permittivity of free space (8.85 x 10⁻¹² F/m) and r is the radius of the plastic sphere in meters (m).
What are the three properties of the measurement system?Rational zero, intervals, and magnitude are the three features of measurement scales also referred to as ratio scales. It is impossible to fully understand ratios of numbers when using interval scales; for instance, John's height to Mary's height is 1.32. Only by utilising the greater strength of a rational zero is this possible.
The formula for electric charge on a plastic sphere (Eq.(13)) is:
[tex]\mathrm{q = -K (vt^{1.5})/V}[/tex]
where q is the electric charge on the plastic sphere, v is the velocity of the gas molecules, t is the time during which the gas is in the electric field chamber, V is the volume of the electric field chamber, and K is a constant that depends on the properties of the gas environment, plastic sphere, and the electric field chamber.
The SI units of measurement for these properties are:
Electric charge (q): Coulombs (C)
Velocity of gas molecules (v): Meters per second (m/s)
Time (t): Seconds (s)
Volume of electric field chamber (V): Cubic meters (m^3)
Constant (K): Coulombs per meter (C/m)
Note that the constant K may also be expressed in terms of other physical quantities such as the permittivity of free space (ε₀) and the radius of the plastic sphere (r) as:
[tex]\mathbf{K = 4\pi \epsilon_0r}[/tex]
where ε₀ is the permittivity of free space (8.85 x 10⁻¹² F/m) and r is the radius of the plastic sphere in meters (m).
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Wind energy is increasingly relied upon to help meet global energy needs. Wind energy can be used to generate electricity using wind turbines. Which of the following are often used for energy storage of wind power? A). Converters B). Generators C). Batteries D). Rotor blades
Batteries are frequently used to store wind energy.
What is energy?Energy is a quality of matter and radiation that serves as a gauge of work-doing capacity. It can manifest in a variety of ways, including as electromagnetic radiation, thermal energy, kinetic energy, and more.
It is necessary to store the wind energy produced by wind turbines so that it can be used when there is no generation due to unfavorable wind conditions. The energy produced by wind turbines can be stored in batteries and made available for use as needed. Battery energy can also be utilized to stabilize the power system, increasing its dependability and enhancing the grid's overall ability to integrate wind energy.
a. In order to convert the direct current (DC) electricity produced by wind turbines into the alternating current (AC) electricity that is typically used in homes and businesses, converters are needed.
b. Although they can be used to generate electricity, generators are not typically used in wind power systems for energy storage.
d. Rotor blades, which are a component of wind turbines, are used to collect wind energy and transform it into mechanical energy, which is later transformed into electricity. Energy is not stored in rotor blades.
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At what point(s) is the gravitational potential energy (GPE) the greatest?
Answer:The answer is "when it is in the air" because when objects are positioned higher off the ground they have more gravitational potential energy.
Explanation: