Therefore, the net force pushing out on the window is approximately 46816.6 N.
The net force pushing out on the window is equal to the pressure difference between the inside and outside of the window, multiplied by the area of the window. We can use the formula:
F = AΔP
where F is the net force, A is the area of the window, and ΔP is the pressure difference between the inside and outside of the window.
The pressure difference is given by:
ΔP = P_inside - P_outside
Substituting the given values, we get:
ΔP = 1.0 atm - 0.916 atm = 0.084 atm
We need to convert this pressure difference to SI units (Pascals) before using it in the formula for net force:
ΔP = 0.084 atm x 101325 Pa/atm = 8512.1 Pa
The area of the window is given by:
A = 2.5 m x 2.2 m = 5.5 m
Substituting the values we have found, we get:
F = AΔP = (5.5)(8512.1 Pa) = 46816.6 N
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a student designing an electric scooter uses a simple column type load cell with two strain gauges
A load cell is an essential sensor device used for converting a force, torque, pressure, or displacement into an electrical signal. It is a key component in electronic scales, force measuring instruments, and weighing devices. A student who designs an electric scooter uses a simple column type load cell with two strain gauges.
The load cell measures force or weight by converting the tension or compression acting on the load cell into an electrical signal. A load cell typically comprises four strain gauges that are arranged in a Wheatstone bridge configuration. A column type load cell is cylindrical in shape and is designed to measure loads in compression. It typically comprises two columns that are connected by a metal diaphragm. Two strain gauges are attached to the columns, one for measuring the compressive strain and the other for measuring the tensile strain.
The student designing an electric scooter uses a load cell to measure the weight of the rider and other loads on the scooter. The load cell is typically placed at the bottom of the scooter's frame, and the weight of the rider and the scooter is applied to it. The load cell measures the weight by converting the compression force acting on it into an electrical signal. The two strain gauges attached to the columns of the load cell measure the compressive and tensile strains, respectively. These strains are converted into an electrical signal using a Wheatstone bridge circuit, and the output of the bridge is proportional to the weight applied to the load cell.The student designing the electric scooter needs to select the right load cell for the application. The load cell must be able to measure the maximum weight that the scooter can carry. The column type load cell is suitable for measuring loads in compression, which is ideal for measuring the weight of the rider and the scooter. The two strain gauges attached to the columns of the load cell help to increase the sensitivity and accuracy of the load cell. The Wheatstone bridge circuit helps to convert the strain measurements into an electrical signal that can be processed by the scooter's control system.
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A sample of lead is heated up to a temperature of 100°C and then placed in a sample of water with an initial temperature of 5°C. If the mixture is thermally isolated from its surroundings, then it:
exchanges no thermal energy with the environment outside the system as it comes to a final temperature.
gains thermal energy from the environment outside the system as it comes to a final temperature.
both gains and loses thermal energy to the environment outside as it comes to a final temperature.
loses thermal energy to the environment outside as it comes to a final temperature.
None of these choices are correct.
If the mixture is thermally isolated from its surroundings, then it, loses thermal energy to the environment outside as it comes to a final temperature. The correct answer is d.
When the sample of lead is placed in the water, heat will flow from the lead to the water until they reach a common final temperature. Since the final temperature will be less than the initial temperature of the lead, heat must have flowed out of the lead into the surroundings, causing the lead to lose thermal energy to the environment outside the system.
Since the mixture is thermally isolated from its surroundings, no thermal energy is exchanged between the system (lead and water) and the environment during the process. However, heat can still flow within the system itself until thermal equilibrium is reached. Option d is correct.
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If mass of an empty 7.0 mL pycnometer is 10.2g and the mass of the same pycnometer with an unknown liquid is 21.8g. Determine the density of the unknown liquid to ONE DECIMAL PLACE in g/mL.
The formula for calculating density is expressed as
Density = mass/volume
From the information given,
mass of empty pycnometer = 10.2
mass of the same pycnometer with an unknown liquid is 21.8.
Mass of unkown liquid = 21.8 - 10.2 = 11.6
volume of unknown liquid = 7
Thus,
Density = 11.6/7
Density = 1.7 g/ml
a pressurized cylindrical tank with a radius of 8 m has an internal pressure of 2.8 x 105 pa at point 1. point 1 is at the top of the water at a height of 15 m. point 2 is in pipe with a radius of 4 cm and is at a height of 1.8 m while point 3 is in a pipe with a radius of 6.8 cm and is at a height of 3 m. water is coming out of the pipe at 3. a) what is mass flow rate at point 3? b) what is the velocity of the water at point 2? c) what is the rate that the water level in the tank is falling?
a) To calculate the mass flow rate at point 3, we can use the continuity equation, which states that the mass flow rate through any pipe or channel must be constant, given that the fluid is incompressible. The equation is: m_dot = rho * A * v
Where m_dot is the mass flow rate, rho is the density of the fluid, A is the cross-sectional area of the pipe, and v is the velocity of the fluid. Since the water is coming out of the pipe at point 3, we can assume atmospheric pressure and neglect any changes in potential energy. Therefore, we can use the pressure at point 1 and the height difference between points 1 and 3 to calculate the velocity of the water at point 3 using Bernoulli's equation.
Using the given radius of the tank, we can calculate its cross-sectional area as A1 = pi*r^2 = 201.1 m^2. The height difference between point 1 and point 3 is 15 m - 3 m = 12 m. Using Bernoulli's equation, we can calculate the velocity of the water at point 3:
P1/rho + gh1 + 0.5*v1^2 = P3/rho + gh3 + 0.5*v3^2
Since P3 is atmospheric pressure, we can neglect it. Rearranging and solving for v3, we get:
v3 = sqrt(2*(P1-Patm)/rho + 2*g*(h1-h3))
where Patm is atmospheric pressure, g is the acceleration due to gravity, h1 is the height of point 1, and h3 is the height of point 3. Substituting the given values, we get:
v3 = sqrt(2*(2.8 x 10^5 Pa - 1.01 x 10^5 Pa)/(1000 kg/m^3) + 2*9.81 m/s^2*(15 m - 3 m)) = 17.81 m/s
Using the cross-sectional area of the pipe at point 3 (A3 = pi*r^2 = 0.046 m^2) and the density of water, we can calculate the mass flow rate:
m_dot = rho * A3 * v3 = 1000 kg/m^3 * 0.046 m^2 * 17.81 m/s = 8.19 kg/s
Therefore, the mass flow rate at point 3 is 8.19 kg/s.
b) To calculate the velocity of the water at point 2, we can use Bernoulli's equation again, assuming that the pressure at point 2 is atmospheric pressure and neglecting any changes in potential energy:
P1/rho + gh1 + 0.5*v1^2 = P atm/rho + gh2 + 0.5*v2^2
Rearranging and solving for v2, we get:
v2 = sqrt(2*(P1-Patm)/rho + 2*g*(h1-h2))
Substituting the given values, we get:
v2 = sqrt(2*(2.8 x 10^5 Pa - 1.01 x 10^5 Pa)/(1000 kg/m^3) + 2*9.81 m/s^2*(15 m - 1.8 m)) = 25.35 m/s
Therefore, the velocity of the water at point 2 is 25.35 m/s.
c) The rate that the water level in the tank is falling can be calculated using the equation of continuity and the principle of conservation of mass.
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I WILL MARK YOU THE BRAINLIEST NO LINKS
What is the net force acting on the airplane?
740 N right -->
700 N right -->
100 N left <--
760 N right -->
Answer:
100 N left <--
Explanation:
Answer:
100 to the left
Explanation:
Will mark Brainliest it's due TODAY PLEASE HELP ME
Explain how UY Scuti and J0523 are different.
Why will J1311 (the Black Widow Pulsar) eventually find itself without its companion star? How will this happen?
How did scientists determine SM0313 is the oldest star ever discovered?
What characteristics of HV2112 make it the best candidate to be classified as a Thorne-Zytkow object?
How does a star's mass determine its lifespan?
Discuss the characteristics of cool red dwarf stars, including their mass and age.
Discuss the correlation or connection between stars with a higher mass and the amount of fuel they have to work with.
How old is the sun and since its birth, how has the sun changed?
During its lifespan, what characteristics of the sun will change?
Answer:
(3rd Question about the Black Widow Pulsar)
J1311 is a fast spinning neutron star, which means it emits strong beams of radiation from it's poles.
As the beam of the pulsar sweeps across the surface of the companion star, it heats it up and blows its material outward into space, thus decreasing its mass.
The amount of lateral strain in a tension member can be calculated using OA the coeficient of expansion B the moment of inertia OCthe yield stress OD Poisson's rati
The amount of lateral strain in a tension member can be calculated using Poisson's ratio.
To calculate the lateral strain, we can use the equation: ε_lateral = -ν * ε_longitudinal
Where:
ε_lateral = Lateral strain
ν = Poisson's ratio
ε_longitudinal = Longitudinal strain
Poisson's ratio (ν) is a material property that describes the ratio of lateral strain to longitudinal strain when a material is subjected to an axial load. It is defined as the negative ratio of the transverse strain to the longitudinal strain.
Calculating the lateral strain involves determining the longitudinal strain, which can be calculated using the equation:ε_longitudinal = ΔL / L
Where:
ε_longitudinal = Longitudinal strain
ΔL = Change in length of the tension member
L = Original length of the tension member
Once the longitudinal strain is calculated, we can use Poisson's ratio to determine the lateral strain by multiplying the longitudinal strain by the negative value of Poisson's ratio.
It is important to note that the lateral strain is typically very small compared to the longitudinal strain in a tension member, especially for materials with a low Poisson's ratio.
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A 0.15-m straight wire moves with a constant velocity of 7.0 m/s perpendicularly
through a magnetic field. If the magnetic field has a strength of 0.40 T, what is the
electromotive force?
Answer: force is 0.42 N
Explanation: F = l·v·B
A cannonball is launched straight upwards with a velocity of vi. If the cannonball reaches a height of 1.25 km, what was the launch speed?
Answer:
Explanation:
2aS=vf^2-vi^2
vf^2=2as+vi^2
vf^2=2*9.8*1.25*10^3+vi^2
vf^2=24500vi2
√vf2=√24500vi2
vf=156.5vi
There is nothing better than the smell of a delicious meal when you walk through the doo
how does the smell reach your nose?
Answer:
when we sniff
Explanation:
we have the ability to sniff
a spring is used to fire two identical marbles directly upward. immediately after firing, the first marble has an initial velocity, v, and rises to a height h above the spring. the second marble has an initial velocity 4v. what distance above the spring does the second marble reach?
As per the given statement the max height attained by the second marble is 16 times of the max height of the first marble with the velocity of 4v.
What is velocity?It can be defined as the rate of change of the object's position with respect to a frame of reference and time. Its S.I unit is m/s.
To calculate the max height attained by the second marble we use the following formula
\(\frac{1}{2}\)m\(v^{2}\)=mgh
Rearranging the equation, we get
h=\(v^{2}\)/2g
For the first ball,
\(h_{1}\)max=\(v^{2}\)/ 2g
acc. to the given data
Initial velocity of first marble= v
and height attained = h
For the second ball,
Initial velocity of second marble= 4v
So attained height is?
h2max=v22 /2g
h2max=(4v)2/2g
h2max=16v2/2g
h2max=16×v2/2g now (h1max=v21/ 2g)
h2max=16×h1max
The max height of the second marble is 16 times of the max height of the first marble with 4v velocity.
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What is the answer please help me!
Answer:
The greatest force of gravity on the ball will occur at the point when the ball is near to hit the ground
Explanation:
We know that the earth's center attracts everything towards its center with an acceleration of 9.8 m/s² so it simply means that the change in velocity must occur to produce acceleration. When the ball comes towards the earth, its speed continuously increases and it is at maximum level when it is about to hit the ground so this is the point where gravitational force is maximum.
I hope this helps ^_^
Was there any angle given with the question
Answer:
No.
Explanation:
In the question, no mathematical angle is shown.
3. a rocket, initially at rest, is fired vertically with a net upward acceleration of 12 m/s2 . at an altitude of 0.50 km, the engine of the rocket cuts off. a. how long is it in the air?
As a result, the rocket will soar to a maximum height of 0.5 km plus 510.2 m. One kilometre is equal to this. This becomes the beginning velocity for the second stage, and the acceleration in free fall is equal to -g.
0=1002−2×9.8×h
∴h=10,0002×9.8=510.2xm
Is a rocket's acceleration constant?As a result, although there is a constant force acting on the rocket, the resulting acceleration is not constant; rather, it is constantly rising. The amount of fuel burnt will thus have an impact on the rocket's overall change in velocity, and this dependency is nonlinear.
This indicates that the rocket's speed is increasing by 90 m/s every second. This is nine times the gravitational acceleration that is typical.
The space shuttle must accelerate from zero to 8,000 metres per second (almost 18,000 miles per hour) in eight and a half minutes in order to reach the minimum height needed to circle the Earth.
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Which quasar is most likely to have the highest number of hydrogen absorption lines in its spectrum?
A quasar with a lookback time of 13 billion years is most likely to have the highest number of hydrogen absorption lines in its spectrum
What is a quasar?Quasar is an abbreviation for quasi-stellar radio source. Quasars were given that name because, when they were initially discovered by astronomers in the late 1950s and early 1960s, they resembled stars. Quasars are not stars, though. They are young galaxies that are far away from us and are becoming more numerous as they approach the outer reaches of the visible cosmos, according to science. How are they still visible despite being so far away? Quasars are up to 1,000 times brighter than our Milky Way galaxy, which is the reason why they are so luminous. As a result, we are aware that they are extremely active and produce astounding amounts of radiation throughout the whole electromagnetic spectrum.
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Which of the technologies could mostly like be found in a wearhouse
The average 8- to 18-year-old spends __________ per day on average in front of a screen doing very little to no physical activity. A. 0 hours B. 30 minutes C. 1 hour D. 3 hours or more Please select the best answer from the choices provided. A B C D
Answer:
D. 3 hours or more
Explanation:
The average 8- to 18-year-old spends at least D. 3 hours every day in front of a screen, performing little to no physical activity. This is because, instead of exercising and socializing with their peers, children and teenagers frequently talk, watch a lot of movies/shows, or play video games on their computers. Unfortunately, this is typically considerably more than three hours every day. Although some children still prefer physical activities over this, the bulk of the population does not.
A student lifts a basketball to a height of 6 feet and lets the ball drop to the ground. Which statement accurately compares the ball's energy at a height of 6 feet (at rest) and at a height of 2 feet (falling)?
A.
The ball's kinetic energy is the same at both heights, but its potential energy is different.
B.
The ball has less potential energy and more kinetic energy at 6 feet than at 2 feet.
C.
The ball's potential energy is the same at both heights, but its kinetic energy is different.
D.
The ball has more potential energy and less kinetic energy at 6 feet than at 2 feet.
Answer:C
Explanation:
If you are holding the ball that would be the ball would have potential energy since it it not moving. Once you drop the ball it will have kinetic energy since it’s moving. If you drop the ball from 6ft it will have more kinetic since it will have more time to accelerate. If you drop the ball from 2ft then it will have less kinetic energy since it is closer to the ground and won’t have beeping time to accelerate and get rid of the potential energy.
Answer:
c
Explanation:
IF ITS RIGHT YOU WILL GET 5 STARS AND A BRAINLY WITH A LIKE
Answer:
DNA IS SMALLEST
NUCLEUS IS BIGGEST
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you are sitting at the center of a large turntable at an amusement park as it is set spinning freely. you decide to crawl towards the edge of the turntable. what does your action do to the rate of rotation of the turntable? explain
You are sitting at the center of a large turntable at an amusement park as it is set spinning freely. You decide to crawl towards the edge of the turntable. Rotational speed will decrease
There is no external torque
hence , the angular momentum of the table is conserved
L (initial) = L ( final)
since , L = m*v*r
where
m = mass
v = velocity
r = radius
If the person is crawled towards the outer rim, then the rotational inertia of the turntable will increase. In order to conserve the angular momentum , its rotational speed will decrease as mass and radius cannot be altered .
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One important concept in quantum mechanics is known as the correspondence principle. This idea states that as the energy increases, the behavior of a quantum mechanical system must approach the classical limit. For the particle in a box, the energy goes as the square of the quantum number, meaning that the spacing between adjacent levels increases with increasing n.
Show that the correspondence principle holds for the particle in a box by considering the ratio of the spacing between adjacent levels to the energy of the lower state.
The correspondence principle holds for the particle in a box, as the ratio of the spacing between adjacent levels to the energy of the lower state approaches zero with increasing energy.
In the particle in a box system, the energy levels are given by the equation:
\(E = (n^2 * h^2)/(8 * m * L^2)\)
where n is the quantum number, h is the Planck's constant, m is the mass of the particle, and L is the length of the box.
To examine the correspondence principle, let's consider the spacing between adjacent energy levels. The difference in energy between two adjacent levels can be calculated by subtracting the energy of one level from the energy of the next level:
ΔE = E(n+1) - E(n)
\(= [(n+1)^2 * h^2)/(8 * m * L^2)] - [(n^2 * h^2)/(8 * m * L^2)]\)
\(= [2n + 1] * (h^2/(8 * m * L^2))\)
Now, let's calculate the ratio of the spacing between adjacent levels to the energy of the lower state:
Δ\(E/E(n) = ([2n + 1] * (h^2/(8 * m * L^2))) / [(n^2 * h^2)/(8 * m * L^2)]\)
\(= (2n + 1) / n^2\)
As n increases, the spacing between adjacent levels (ΔE) will increase. However, the ratio ΔE/E(n) can be simplified to \((2/n) + (1/n^2),\)which approaches zero as n increases. This means that as the energy increases (as n increases), the ratio ΔE/E(n) approaches zero, indicating that the behavior of the particle in a box system converges to the classical limit.
Therefore, we have shown that the correspondence principle holds for the particle in a box, as the ratio of the spacing between adjacent levels to the energy of the lower state approaches zero with increasing energy.
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if a neutral conducting spherical shell with radius r is placed in a uniform electric field e, the charge on the shell will redistribute itself and create a sort of dipole. (a) show that the external field due to the redistributed charge on the shell is in fact exactly equal to the field due to an idealized dipole at the center of the shell. what is the strength p of the dipole?
To determine the strength of the dipole created by the redistributed charge on the conducting spherical shell, we can consider the concept of electric dipole moment.
The electric dipole moment (p) is defined as the product of the magnitude of either charge (q) in the dipole and the separation distance (d) between them:
p = q * d
In this case, the dipole moment arises from the redistribution of charge on the conducting spherical shell. The magnitude of the charge on the shell will depend on the electric field (E) it experiences.
Now, let's analyze the scenario step by step:
1. The electric field (E) is uniform and acts on the conducting spherical shell of radius (r).
2. Due to the presence of the electric field, charges on the shell will redistribute themselves until equilibrium is reached.
3. The redistribution of charges will result in a dipole-like configuration, where positive charge accumulates on one side and negative charge on the other side.
4. To calculate the strength of the dipole moment (p), we need to determine the magnitude of the charge (q) and the separation distance (d) between them.
5. In the case of a conducting shell, the electric field inside the shell is zero, and the charges redistribute themselves to the outer surface of the shell. This means that the separation distance (d) between the positive and negative charges is equal to the diameter of the shell (2r).
6. The magnitude of the charge (q) on each side of the dipole can be determined by considering the net charge on the shell, which is zero. Therefore, the charges on each side of the dipole are equal in magnitude.
Now, we can express the dipole moment (p) as:
p = q * d = q * 2r
To find the value of q, we need to consider the electric field (E) acting on the shell. The electric field due to an idealized dipole at the center of the shell is given by:
E = (kp * cosθ) / r^2
where kp is the electric dipole moment of the idealized dipole and θ is the angle between the direction of the electric field and the axis of the dipole.
Since the electric field (E) acting on the shell is the same as the field due to the idealized dipole, we can equate these two expressions:
E = (kp * cosθ) / r^2 = (kq * 2r * cosθ) / r^2
From this equation, we can deduce that kp = 2krq.
Therefore, the strength of the dipole moment (p) is given by:
p = q * 2r = (kp * r) / (2k)
Substituting kp = 2krq, we get:
p = (2krq * r) / (2k) = rq
Hence, the strength of the dipole moment is given by p = rq, where r is the radius of the conducting spherical shell and q is the magnitude of the charge on each side of the dipole.
Note: The negative sign indicating the direction of the dipole is not considered here since we are only interested in the magnitude of the dipole moment.
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how far away is lightning if thunder sounds 10 seconds after the lightning flashes?
Sound travels at approximately 343 meters (or 1,125 feet) per second in dry air at room temperature.
To determine how far away lightning is when thunder sounds 10 seconds after the lightning flash, we can use the speed of sound.
Distance = Speed × Time
Distance = 343 m/s × 10 s
Distance = 3,430 meters
Therefore, if thunder sounds 10 seconds after the lightning flash, the lightning is approximately 3,430 meters (or 3.43 kilometers) away.
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How do I solve these problems?
Answer:
1.) The 1ˢᵗ three term is (-32), (-7) and 18
2.) The 1ˢᵗ three term is 127, 106 and 85
Step-by-step explanation:
1.)Here,
First Term = a₁ = - 32
Common Difference = (d) = 25
Now, For 1ˢᵗ three term,
n = 1
a₁ = - 32
n = 2
aₙ = a + (n - 1)d
a₂ = (-32) + (2 - 1) × 25
a₂ = (-32) + 1 × 25
a₂ = (-32) + 25
a₂ = -7
n = 3
aₙ = a + (n - 1)d
a₃ = (-32) + (3 - 1) × 25
a₃ = (-32) + 2 × 25
a₃ = (-32) + 50
a₃ = 18
Thus, The 1ˢᵗ three term is (-32), (-7) and 18
2.)Here,
First Term = a₁ = 127
Common Difference = (d) = -21
Now, For 1ˢᵗ three term,
n = 1
a₁ = 127
n = 2
aₙ = a + (n - 1)d
a₂ = 127 + (2 - 1) × (-21)
a₂ = 127 + 1 × (-21)
a₂ = 127 - 21
a₂ = 106
n = 3
aₙ = a + (n - 1)d
a₃ = 127 + (3 - 1) × (-21)
a₃ = 127 + 2 × (-21)
a₃ = 127 - 42
a₃ = 85
Thus, The 1ˢᵗ three term is 127, 106 and 85
-TheUnknownScientist
A student accurately measured the volume of a solution, but spilled some before measuring solution mass. What is the effect on calculated solution density? Choose the best answer.The calculated solution density is higher than the actual density.The calculated solution density is lower than the actual density.The calculated solution density is the same as the actual density.
The effect on calculated solution density is option (b) The calculated solution density is lower than the actual density
Density is defined as the mass of an object or substance divided by its volume. Therefore, to calculate the density of a solution, you need to measure both its mass and its volume accurately. In this case, the student accurately measured the volume of the solution but spilled some of it before measuring its mass. This means that the measured mass is less than the actual mass of the solution.
As a result, the calculated density, which is the measured mass divided by the measured volume, will be lower than the actual density, which is the actual mass divided by the actual volume. This is because the measured mass is less than the actual mass, but the measured volume is accurate, leading to an overall lower density calculation.
Therefore, the correct option is (b) The calculated solution density is lower than the actual density
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A ball was kicked horizontally off a cliff at 14m / s. how high was the cliff if the ball landed 83 m from the base of the cliff?
The height of the cliff from which the ball fell is 172.3 m.
What is the time of motion of the ball?
The time of motion of the ball is the time taken for the ball to travel from its initial position to the final position.
X = Vt
where;
X is the horizontal distance travelled by the ballV is the horizontal velocity of the ballt is the time of motion of the ballt = X/V
t = (83 m) / (14 m/s)
t = 5.93 s
The height of fall of the ball is calculated as follows;
h = vt + ¹/₂gt²
where;
v is the initial vertical velocity = 0g is acceleration due to gravityh = 0 + ¹/₂gt²
h = ¹/₂gt²
h = ¹/₂(9.8)(5.93)²
h = 172.3 m
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What's this please
w
The best explanation for the phenomenon shown in the picture is that electrons are moving between the cloud and the three forming a current.
How does lighting occur?During a storm, the energy inside clouds becomes unstable due to the movement caused by air currents. As a result, clouds become negatively charged while the ground has a positive charge.
This difference causes a current to be created between the surface of the land and the cloud. In this, electrons play a major role as atoms gain or lose electrons in this process.
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to explain the physical arrangement of place, an object, or an event, a speaker should be which pattern of arrangement?
a. topical
b. problem-solution
c. spatial
d. causal
A speaker should employ the spatial pattern of organisation to describe the physical arrangement of a location, an item, or an event.
Physical arrangement describes how things are laid out or organised spatially in the physical world. It can be used to describe the placement, tilt, and connections of various elements inside a given space. In a variety of professions, including architecture, urban planning, and interior design, it is crucial to comprehend how things are physically set up. A biological organism's physical structure or the arrangement of the planets in the solar system are two examples of how it might be useful in understanding or interpreting natural occurrences. In public speaking, the spatial pattern of arrangement can be used to describe the physical arrangement of a location, an item, or an event in order to aid the audience in visualising and comprehending it.
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if the milky way galaxy is 100,000 light years in diameter, how long would it take light to travel from the center of the galaxy to the edge? (time, not distance!)
It would take light about 31,542 years to travel from the center to the edge of the Milky Way galaxy.
To determine how long it would take light to travel from the center of the Milky Way galaxy to the edge, we need to consider the speed of light and the distance between the center and the edge of the galaxy.
The speed of light in a vacuum is approximately 299,792 kilometers per second (or about 186,282 miles per second). This is a fundamental constant of nature denoted by the symbol "c."
Given that the diameter of the Milky Way galaxy is approximately 100,000 light-years, we need to convert this distance to a more familiar unit of measurement, such as kilometers or miles, before calculating the time it would take light to traverse it.
One light-year is defined as the distance that light travels in one year, which is approximately 9.461 trillion kilometers (or about 5.879 trillion miles). Therefore, the diameter of the Milky Way galaxy is roughly 9.461 trillion kilometers (or 5.879 trillion miles).
Now, we can calculate the time it would take light to travel from the center to the edge of the galaxy:
Time = Distance / Speed of light
For the distance of 9.461 trillion kilometers, divided by the speed of light (299,792 kilometers per second), we get:
Time = (9.461 x 10^12 km) / (299,792 km/s)
Calculating this equation gives us approximately 31,542 years. So, it would take light about 31,542 years to travel from the center to the edge of the Milky Way galaxy.
It's important to note that this calculation assumes a straight path from the center to the edge of the galaxy and does not account for any variations in density or structures within the galaxy. Additionally, the actual size and structure of the Milky Way can have some uncertainties, so the value provided here is an estimate based on current knowledge.
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A 0.150-kg baseball moving at a speed of 45.0 m/s crosses the plate and strikes the 0.250-kg catcher's mitt (originally at rest). The catcher's mitt immediately recoils backwards (at the same speed as the ball) before the catcher applies an external force to stop its momentum. If the catcher's hand is in a relaxed state at the time of the collision, it can be assumed that no net external force exists and the law of momentum conservation applies to the baseball-catcher's mitt collision. Determine the post- collision velocity of the mitt and ball.
The post-collision velocity of both the catcher's mitt and the baseball will be 22.5 m/s in the opposite direction of their initial velocities.
According to the law of conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision. Initially, the baseball has a momentum of 0.150 kg * 45.0 m/s = 6.75 kg·m/s in the positive direction, and the catcher's mitt has a momentum of 0 kg·m/s since it is at rest.
After the collision, both objects move with the same final velocity in opposite directions. Let's assume the post-collision velocity of both the baseball and the mitt is v. According to the law of conservation of momentum, the total momentum after the collision is (0.150 kg + 0.250 kg) * v = 0.400 kg * v.
Setting the initial momentum equal to the final momentum, we have:
6.75 kg·m/s = 0.400 kg * v.
Solving for v, we get v = 6.75 kg·m/s / 0.400 kg = 16.875 m/s.
Since both objects move in opposite directions, the post-collision velocity of the mitt and the ball will be 16.875 m/s in the opposite direction of their initial velocities, which is -16.875 m/s. Rounded to two decimal places, the post-collision velocity is approximately -22.50 m/s.
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