The acceleration (or rather, deceleration, because it's slowing down) of the aircraft is -0.5 m/s².
How to solve for the accelerationa = Δv / Δt
where Δv is the change in velocity and Δt is the change in time.
Given that the aircraft is decelerating (i.e., slowing down), we can think of the acceleration as negative. The change in velocity is from 60 m/s to 0 m/s, so Δv = 0 m/s - 60 m/s = -60 m/s.
The change in time is given as 2 minutes, but we need to convert this to seconds (since the speed was given in m/s). 2 minutes is equal to 120 seconds, so Δt = 120 s.
Substitute these into the acceleration formula:
a = Δv / Δt
a = -60 m/s / 120 s
a = -0.5 m/s²
Therefore, the acceleration (or rather, deceleration, because it's slowing down) of the aircraft is -0.5 m/s².
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What is the period of oscillation of a pendulum that is. 5m long?
. 26 s
1. 42 s
6. 28 s
13. 9 s
Answer:1.42
Explanation:
A vertical aluminum beam in a factory supports a load of
48549 N.
Given that the unloaded length of the beam is 2.7 m and
its cross-sectional area is 0.0007 m2,
find the distance (in micro meters) that the beam is
compressed along its length due to the loading.
The beam is compressed approximately 2677.9 micrometers along its length due to the loading.
To calculate the distance that the aluminum beam is compressed along its length, we need to use Hooke's Law, which states that the deformation of an elastic material is directly proportional to the applied force.
The formula for calculating the compression of a beam is:
Compression = (Force × Length) / (Elastic modulus × Cross-sectional area)
In this case, the force applied to the beam is 48549 N, the unloaded length of the beam is 2.7 m, and the cross-sectional area is 0.0007 m^2.
We need to determine the elastic modulus of aluminum. The elastic modulus for aluminum is approximately 70 GPa (gigapascals) or 70 × 10^9 N/m^2.
Using these values, we can substitute them into the formula:
Compression = (48549 N × 2.7 m) / (70 × 10^9 N/m^2 × 0.0007 m^2)
Simplifying the calculation:
Compression = (131169.3 N·m) / (49 × 10^6 N/m^2)
Compression ≈ 2.6779 × 10^-3 m
To convert this value to micrometers (µm), we multiply it by 10^6:
Compression ≈ 2.6779 × 10^-3 m × 10^6 µm/m
Compression ≈ 2677.9 µm
Therefore, the beam is compressed approximately 2677.9 micrometers along its length due to the loading.
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What is the approximate wavelength of a light whose second-order dark band forms a diffraction angle of 15. 0° when it passes through a diffraction grating that has 250. 0 lines per mm? 26 nm 32 nm 414 nm 518 nm.
To find the approximate wavelength of the light, we can use the formula:
wavelength (λ) = (d * sin(θ)) / m
where d is the spacing between the lines of the diffraction grating, θ is the angle of diffraction, and m is the order of the dark band.
In this case, the diffraction grating has 250.0 lines per mm, which means the spacing between the lines is:
d = 1 / 250.0 mm
The second-order dark band has an angle of diffraction of 15.0°, and we want to find the wavelength. So we can plug these values into the formula:
wavelength (λ) = [(1 / 250.0 mm) * sin(15.0°)] / 2
Calculating this expression gives us:
wavelength (λ) ≈ 32 nm
Therefore, the approximate wavelength of the light is 32 nm.
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A hog air balloon is moving upward with a verlocity of 3m.s .a person inside the balloon then throws a stkne upwards at 2m.s calculate the time taken for the stone to reach its highest point
It takes approximately 0.204 seconds for the stone to reach its highest point before it starts falling back down.
To calculate the time taken for the stone to reach its highest point, we can use the following equation:
Final velocity (vf) = Initial velocity (vi) + Acceleration (a) × Time (t)
In this case, the stone is thrown upwards, so its final velocity at the highest point is 0 m/s (it momentarily stops before falling back down). The initial velocity of the stone is 2 m/s, and the acceleration due to gravity is approximately -9.8 m/s² (taking the downward direction as negative).
0 m/s = 2 m/s - 9.8 m/s² × t
Solving for time (t), we can rearrange the equation as follows:
9.8 m/s² × t = 2 m/s
t = 2 m/s / 9.8 m/s²
t ≈ 0.204 seconds
Therefore, it takes approximately 0.204 seconds for the stone to reach its highest point before it starts falling back down.
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In which of the following scenarios will the frequency decrease? Select all that apply. A. Speed decreases and wavelength remains constant. B. Speed remains constant and wavelength decreases. C. Speed increases by a factor of 2 and wavelength decreases by a factor of 0. 5. D. Speed decreases by a factor of 4 and wavelength increases by a factor of 2. E. Speed remains constant and wavelength increases
The option A is correct. When the speed of a wave remains constant and the wavelength of the wave increases, the frequency of the wave decreases.
The frequency is a measure of the number of waves that pass a point in a given period of time and the speed of a wave is inversely proportional to the frequency. As a result, when the speed of a wave decreases, the frequency of the wave decreases. When the wavelength of a wave decreases, the frequency of the wave increases. Therefore, option B is incorrect. When the speed of a wave increases by a factor of 2 and the wavelength of the wave decreases by a factor of 0.5, the frequency of the wave remains constant.
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how much tween 20 and TBS do instructor use to make 2liter of 0.05% tween 20 TBS buffer if they have 50ml 100% tween 20 and 1 liter
Since the instructor has 50ml of 100% Tween 20, using 1ml for 2 liters of buffer will be more than enough.
How to solve for the amount of TweenTween 20 is a detergent commonly used in biological experiments. TBS stands for Tris-buffered saline, a buffer solution containing Tris-HCl and sodium chloride.
When making a 0.05% Tween 20 TBS buffer solution, you need to know the desired volume, which in this case is 2 liters.
To calculate the amount of Tween 20 needed, multiply the total volume by the desired percentage concentration:
2 liters * 0.0005 (which is 0.05% in decimal form) = 1 ml of 100% Tween 20.
Now, since the instructor has 50ml of 100% Tween 20, using 1ml for 2 liters of buffer will be more than enough.
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Describe how resistance affects alternating current
Resistance affects alternating current by causing a voltage drop across the resistor, power dissipation as heat, and can contribute to a phase shift when combined with reactance. Impedance, which considers both resistance and reactance, describes the overall opposition to the flow of current in an AC circuit.
Resistance affects alternating current (AC) in several ways. When an AC voltage is applied across a resistor, the flow of current through the resistor is determined by Ohm's law, which states that the current is directly proportional to the voltage and inversely proportional to the resistance. In mathematical terms, Ohm's law can be expressed as:
I = V/R
Where:
I = Current flowing through the resistor
V = Voltage across the resistor
R = Resistance of the resistor
(1)Voltage Drop: When an AC voltage is applied across a resistor, a voltage drop occurs across the resistor due to its resistance. The magnitude of this voltage drop is determined by the resistance value and the current flowing through the resistor. This voltage drop can be calculated using Ohm's law.
(2)Power Dissipation: Resistance in an AC circuit leads to power dissipation. Power is the rate at which energy is consumed or supplied by an electrical device. In the case of a resistor, power dissipation occurs as electrical energy is converted into heat energy due to the resistance. The power dissipated in a resistor can be calculated using the formula:
P = I^{2 × R}
Where:
P = Power dissipated in the resistor
I = Current flowing through the resistor
R = Resistance of the resistor
(3)Phase Shift: Resistance alone does not cause any phase shift in an AC circuit. However, when resistance is combined with reactance (inductive or capacitive), it can result in a phase shift between the voltage and current waveforms. The phase shift depends on the relative values of resistance and reactance in the circuit.
(4)Impedance: Impedance is a generalized concept that incorporates both resistance and reactance in an AC circuit. It represents the total opposition to the flow of current. In a purely resistive circuit, the impedance is equal to the resistance. However, in circuits with reactive elements, the impedance is a complex quantity that takes into account the resistance and reactance.
In summary, resistance affects alternating current by causing a voltage drop across the resistor, power dissipation as heat, and can contribute to a phase shift when combined with reactance. Impedance, which considers both resistance and reactance, describes the overall opposition to the flow of current in an AC circuit.
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6. A track athlete runs 24.0 m North and then 16.0 m South in 12 s. Find her
a.) Average speed
b.)Average velocity
a.) Average speed is 2.67 m/s, b.) Average velocity is zero. Scalar quantities are the ones with only magnitude. Vector quantities, on the other hand, have both magnitude and direction. Distance and speed are examples of scalar quantities. Examples of vector quantities include velocity and displacement.
In Physics, velocity is defined as the change in the object's displacement per unit time. Velocity is a vector quantity that has a magnitude (speed) as well as a direction. The average velocity of an object is the ratio of the change in its position to the change in time.
In physics, speed is defined as the magnitude of the velocity of an object, regardless of its direction. Average speed is the total distance traveled divided by the total time taken. Average speed is a scalar quantity that is used to describe the speed of a motion over an extended period. Formula for calculating average speed is given by:
average speed = distance traveled ÷ time taken
a.) Average speed: Average speed is the total distance divided by the total time taken. Average speed is a scalar quantity that is used to describe the speed of a motion over an extended period. It is calculated as follows:average speed = total distance / total time
average speed = (24.0 m + 16.0 m) ÷ 12 s
average speed = 2.67 m/s
b.) Average velocity: Average velocity is calculated by dividing the total displacement by the total time taken. The athlete starts from the north and runs towards the south, hence the displacement is zero. The average velocity will therefore be zero. The formula for average velocity is given as follows:
average velocity = total displacement ÷ total time taken
average velocity = 0 ÷ 12 s
average velocity = 0 m/s
Therefore, the athlete's average speed is 2.67 m/s.
The athlete's average velocity is zero.
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How much heat is needed to bring 25. 5 g of water from 29. 3 °C to 43. 87 °C.
The amount of heat needed is 11,324.25 Joules. To calculate it, you can use the formula:
[tex]Q = m * c * ΔT[/tex]
Where:
Q = Heat energy (Joules)
m = Mass of water (grams)
c = Specific heat capacity of water (4.18 J/g°C)
ΔT = Change in temperature (final temperature - initial temperature)
Plugging in the values:
[tex]Q = 25.5 g * 4.18 J/g°C * (43.87 °C - 29.3 °C)[/tex]
[tex]Q = 11,324.25 Joules[/tex]
Explanation:
To determine the heat needed, we use the formula for heat transfer, Q = m * c * ΔT. In this case, the mass of water (m) is given as 25.5 g. The specific heat capacity of water (c) is 4.18 J/g°C, which represents the amount of heat required to raise the temperature of 1 gram of water by 1 degree Celsius. The change in temperature (ΔT) is calculated as the final temperature (43.87 °C) minus the initial temperature (29.3 °C). By substituting these values into the equation, we find that the heat required to raise the temperature of the given quantity of water is 11,324.25 Joules.
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In a bus with help of petrol bus changes potential energy into?
Answer:
kinetic energy
Explanation:
As petrol combusts - it changes the molecules stored is petrol/gasoline to kinetic energy which allows the vehicle to move.
A 12 kg object speeds up from an initial velocity of 10 m:s-1north to a final velocity of 15 m.s-north. Calculate thechange in momentum.Select one:a. -60 kg.m/sb. 60 kg.m/sC. -80 kg.m/sd. 300 kg.m/s
To calculate momentum, you need to know the mass and velocity of the object. You can find the mass by weighing the object, and you can find the velocity by measuring how fast the object is moving.
Momentum is a vector quantity, meaning it has both magnitude and direction. In a one-dimensional scenario (motion along a straight line), the direction can be represented as positive or negative, depending on the chosen coordinate system.
The change in momentum is calculated by multiplying the mass of the object by the change in velocity. In this case, the mass is 12 kg and the change in velocity is 15 m/s - 10 m/s = 5 m/s. Therefore, the change in momentum is 12 kg * 5 m/s = 60 kg m/s.
The answer is b. 60 kg m/s.
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Part F
Turn off the second drip and then add a barrier with one slit. What do you observe on the right side of the wall? What do you
observe on the left side of the wall? From a physics perspective, explain your observations of what is happening on both sides
of the barrier.
If the second drip is turned off and a barrier with one slit is added, the following observations can be made:
On the right side of the wall (opposite the slit):
- An interference pattern will be observed. This is because the single slit acts as a new source of waves, causing the waves from the first slit to interfere with the waves from the single slit. Depending on the exact setup, this interference can result in regions of constructive interference (bright fringes) and regions of destructive interference (dark fringes).
On the left side of the wall (same side as the slit):
- A diffraction pattern will be observed. This is because the waves passing through the single slit spread out or diffract as they pass through the narrow opening. The diffracted waves will then spread out and create a pattern of alternating bright and dark regions.
From a physics perspective, the observations on both sides of the barrier can be explained by the wave nature of light. The interference pattern on the right side is due to the superposition of waves from the two slits, resulting in constructive and destructive interference. The diffraction pattern on the left side is caused by the bending or spreading out of waves as they pass through the single slit. These phenomena demonstrate the wave-particle duality of light and highlight the wave behavior of light in the context of interference and diffraction.
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What is the energy of a wave that has a frequency of 9. 50 x 10^12 Hz?
The energy of the wave with a frequency of 9.50 x 10^12 Hz is approximately 6.2947 x 10^-21 Joules.
The energy of a wave can be calculated using the equation E = h*f, where E represents the energy, h is Planck's constant (approximately 6.626 x 10^-34 J·s), and f is the frequency of the wave.
Given a frequency of 9.50 x 10^12 Hz, we can substitute this value into the equation to find the energy:
E = (6.626 x 10^-34 J·s) * (9.50 x 10^12 Hz)
E = 6.2947 x 10^-21 J
Therefore, the energy of the wave with a frequency of 9.50 x 10^12 Hz is approximately 6.2947 x 10^-21 Joules.
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A stone is tied to a string and swung along the path of a vertical circle at constant speed. When is the string most likely to break?.
When a stone is tied to a string and swung along the path of a vertical circle at a constant speed, the string is most likely to break at the topmost point of the circle.
The tension in the string is maximum at this point because the weight of the stone is acting in the downward direction, while the tension in the string is acting in the upward direction. The tension in the string is given by the formula: T = mv² / r + mg Where T is the tension in the string, m is the mass of the stone, v is the speed of the stone, r is the radius of the circle, and g is the acceleration due to gravity. The tension in the string is maximum at the topmost point of the circle because the speed of the stone is zero at this point, and the tension in the string is only due to the weight of the stone, which is acting in the downward direction. Therefore, the string is most likely to break at the topmost point of the circle when the stone is swung along the path of a vertical circle at a constant speed. A stone is tied to a string and swung along the path of a vertical circle at a constant speed. The tension in the string is given by the formula T = mv² / r + mg, where T is the tension in the string, m is the mass of the stone, v is the speed of the stone, r is the radius of the circle, and g is the acceleration due to gravity. The tension in the string is maximum at the topmost point of the circle because the speed of the stone is zero at this point, and the tension in the string is only due to the weight of the stone, which is acting in the downward direction. Therefore, the string is most likely to break at the topmost point of the circle when the stone is swung along the path of a vertical circle at a constant speed.
In conclusion, when a stone is tied to a string and swung along the path of a vertical circle at a constant speed, the string is most likely to break at the topmost point of the circle. The tension in the string is maximum at this point because the weight of the stone is acting in the downward direction, while the tension in the string is acting in the upward direction.
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In a game of pool, a 0. 4 kg cue ball is traveling at 0. 80 m/s when it hits a slower striped ball moving at 0. 38 m/s. After the collision, the striped ball moves off at 0. 62 m/s. What is the magnitude of the final velocity of the cue ball? Assume all pool balls have the same mass. 0. 20 m/s 0. 56 m/s 1. 0 m/s 1. 8 m/s.
When solving the problem of pool game and calculating the magnitude of the final velocity of the cue ball, the correct option is 0.56 m/s.
The following method: Use the principle of conservation of momentum, i.e. momentum before the collision is equal to the momentum after the collision, which is mathematically written as: [tex]$$mv_1+Mv_2=(m + M)v_3$$[/tex]
Where, m is the mass of the cue ball,
M is the mass of the striped ball,
v1 is the velocity of the cue ball before the collision,
v2 is the velocity of the striped ball before the collision, and
v3 is the velocity of the cue ball after the collision.
Using the above formula, we get the final velocity of the cue ball as:
[tex]$$v_3=frac {mv_1+Mv_2}{m+M}$$[/tex]
Plug in the given values, we get,
[tex]$$v_3=frac{0.4*0.80+0.4*0.38}{0.4+0.4}$$[/tex]
Solving for v3, we get [tex]$v_3=0.59$[/tex] m/s Therefore, the magnitude of the final velocity of the cue ball is 0.59 m/s.
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What are three ways to remember the difference between solar and lunar eclipses?.
There are three easy ways to remember the difference between solar and lunar eclipses. Here are the ways;1. "S" and "L" Rule:Solar Eclipse: "S" stands for "Sun".
When the sun is covered, it is a solar eclipse.
Lunar Eclipse: "L" stands for "Lunar" or "Moon". If the moon is covered, it is a lunar eclipse.
2. Light Source Rule:
Solar Eclipse: The Sun's light source is blocked.
So, it is a solar eclipse.
Lunar Eclipse: The Earth is blocking the sunlight that would usually reach the moon, resulting in a lunar eclipse.
3. Frequency Rule:
Solar Eclipse: Solar eclipses are less frequent than lunar eclipses.Lunar Eclipse: Lunar eclipses are more common than solar eclipses.
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What is the main advantage of dealing with electric potential instead of an electric field?.
Electric potential is better to deal with than electric fields.
This is because electric potential is a scalar quantity and has only one numerical value in each region of space, while electric fields are vector quantities and can have a different magnitude and direction at each point in space.
Hence, the main advantage of dealing with electric potential instead of electric fields is that the electric potential is a scalar quantity. Electric potential at any point in space is only dependent on the position of the charge, while the electric field at any point in space is dependent on the magnitude and direction of the charge. This makes the calculation of electric potential easier and more straightforward than that of electric fields.
Additionally, electric potential is independent of the test charge used to measure it, whereas the electric field depends on the test charge used to measure it. Thus, dealing with electric potential provides a simpler, more efficient, and more consistent way of analyzing and understanding electric fields.
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Light enters glass from air. The angle of refraction will be:.
When light enters glass from air, the angle of refraction will be different from the angle of incidence.
The relationship between the angles of incidence and refraction is described by Snell's Law, which states thatn1sinθ1 = n2sinθ2
Where n1 and n2 are the indices of refraction of the first and second medium, respectively, and θ1 and θ2 are the angles of incidence and refraction, respectively.
According to Snell's Law, the angle of refraction will depend on the angle of incidence and the indices of refraction of the two media.
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the gravitational pull will be lowest between which two spears
The gravitational pull between two objects depends on their masses and the distance between them. According to Newton's law of universal gravitation, the force of gravity decreases as the distance between two objects increases. Therefore, the gravitational pull will be lowest between two objects when they are the farthest apart.
In the context of your question, the term "spears" might refer to spherical objects or other bodies. If we assume these spears have the same mass, the gravitational pull between them will be lowest when they are farthest apart. As the distance between the spears increases, the gravitational force between them decreases.
It's important to note that the gravitational force is always present between any two objects, regardless of the distance. However, the magnitude of the force decreases with increasing distance. Therefore, the gravitational pull will be the lowest between the two spears when they are at their maximum distance from each other.
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When information consists of multiple discrete units, it is called____
information.
a.) digital
b.) analog
c.) secure
d.) discretionary
Please answer fast I have 30 minutes left on this test!!
The correct answer is "a.) digital." When information consists of multiple discrete units, it is referred to as digital information. Digital information is composed of distinct and separate units or elements, often represented by binary digits (bits), which can take on two possible values: 0 and 1. These units of information are processed, transmitted, and stored in digital systems, such as computers and electronic devices.
The term "digital" originates from the Latin word "digitus," meaning finger or numeral. In the context of information, digital refers to the representation of data in numerical form. Unlike analog information, which is continuous and can take on any value within a range, digital information is discrete and quantized into specific values or states.
Digital information has several advantages over analog information. It can be easily stored, replicated, and transmitted without loss of quality, thanks to its discrete nature. Additionally, digital systems allow for more precise control, manipulation, and processing of information, enabling complex operations and algorithms. The use of binary encoding in digital systems provides a reliable and efficient means of representing and transmitting information, as it is less susceptible to noise and interference compared to analog signals.
Examples of digital information include text documents, images, audio files, videos, and computer programs. These forms of information are stored and processed using binary digits, with each bit representing a specific piece of information. The discrete nature of digital information allows for precise encoding, decoding, and error correction, making it essential in various fields such as telecommunications, computing, and data storage.
In summary, when information is composed of discrete units, it is called digital information. This type of information is characterized by its quantized representation using binary digits and offers advantages in storage, transmission, and processing compared to analog information.
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Fusion reactions in the sun change nuclear energy into.
The fusion reactions that occur in the sun change nuclear energy into thermal energy and electromagnetic radiation, including visible light.
A fusion reaction is a nuclear reaction in which two light nuclei combine to form a heavier nucleus, releasing a significant amount of energy.
In the sun, hydrogen fusion occurs, converting hydrogen atoms into helium atoms in a series of fusion reactions that occur in the sun's core.
When hydrogen nuclei, also known as protons, combine, the result is helium.
The process generates a substantial amount of energy, which is why it's utilized as a source of energy in nuclear power plants.
The high temperature and pressure in the sun's core enable the fusion of hydrogen into helium.
The energy released in the fusion process is transported from the core to the surface of the sun through a mechanism known as radiative diffusion, which allows for the creation of thermal energy and electromagnetic radiation, including visible light.
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A woman pushes a 78 kg box for 10 s across a horizontal floor a distance 1 po
of 20 m while performing 40J of work. What power did she exert while
completing this work?
The woman exerted a power of 4 watts while pushing the box.
What is power in PhysicsPower is defined as the amount of work done per unit time, and it's usually measured in watts (W). One watt is equivalent to one joule of work done per second.
Given that the woman did 40J of work over a period of 10s, we can calculate the power she exerted as follows:
Power = Work / Time
Substitute the given values:
Power = 40J / 10s = 4W
So, the woman exerted a power of 4 watts while pushing the box.
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The complete conversion of 90. 0 grams of hydrogen to ammonia would require how many moles of nitrogen gas?
The complete conversion of 90.0 grams of hydrogen to ammonia would require approximately 14.88 moles of nitrogen gas.
To determine the number of moles of nitrogen gas required for the complete conversion of 90.0 grams of hydrogen to ammonia, we need to use the balanced chemical equation for the reaction.
The balanced equation for the formation of ammonia (NH3) from hydrogen (H2) and nitrogen (N2) is:
N2 + 3H2 → 2NH3
From the equation, we can see that one mole of nitrogen gas (N2) reacts with three moles of hydrogen gas (H2) to produce two moles of ammonia (NH3).
To find the number of moles of nitrogen gas, we need to determine the number of moles of hydrogen gas first. We can use the molar mass of hydrogen, which is approximately 1.008 g/mol.
The molar mass of hydrogen (H2) is 2.016 g/mol (2 hydrogen atoms).
Using the given mass of hydrogen (90.0 grams) and its molar mass, we can calculate the number of moles of hydrogen:
Number of moles of hydrogen = Mass of hydrogen / Molar mass of hydrogen
= 90.0 g / 2.016 g/mol
= 44.64 mol
According to the balanced equation, the ratio of moles of nitrogen gas to moles of hydrogen gas is 1:3.
Therefore, the number of moles of nitrogen gas required is one-third of the number of moles of hydrogen gas:
Number of moles of nitrogen gas = (1/3) * number of moles of hydrogen gas
= (1/3) * 44.64 mol
= 14.88 mol
Therefore, the complete conversion of 90.0 grams of hydrogen to ammonia would require approximately 14.88 moles of nitrogen gas.
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A gyroscope rotates through and angle of 200 radians while accelerating from rest at 2. 5 rad/s2.
a. How long does it take to reach 200 radians?
b. What is it final angular velocity?
c. What is the linear velocity at its edge (R = 0. 05 m)?
The linear velocity at the edge of the gyroscope is 2.5 m/s.
To solve these problems, we'll need to use some kinematic equations for rotational motion. Here are the solutions to each part:
a. How long does it take to reach 200 radians?
We can use the following kinematic equation for rotational motion:
θ = ω_0 * t + (1/2) * α * t^2
Where:
θ is the angular displacement (200 radians),
ω_0 is the initial angular velocity (0 rad/s),
α is the angular acceleration (2.5 rad/s^2),
t is the time.
Rearranging the equation to solve for time (t):
t^2 + (2 * ω_0 / α) * t - (2 * θ / α) = 0
Using the quadratic formula:
t = (-b ± √(b^2 - 4ac)) / 2a
In this case, a = 1, b = (2 * ω_0 / α), and c = (-2 * θ / α). Plugging in the values:
t = [-(2 * ω_0 / α) ± √((2 * ω_0 / α)^2 - 4 * 1 * (-2 * θ / α))] / 2 * 1
t = [-(2 * 0 / 2.5) ± √((2 * 0 / 2.5)^2 - 4 * 1 * (-2 * 200 / 2.5))] / 2
t = [± √(0 - (-1600))] / 2
Since time cannot be negative, the positive root is considered:
t = √1600 / 2
t = 40 / 2
t = 20 seconds
Therefore, it takes 20 seconds for the gyroscope to reach 200 radians.
b. What is its final angular velocity?
We can use the following kinematic equation for rotational motion:
ω = ω_0 + α * t
Where:
ω is the final angular velocity,
ω_0 is the initial angular velocity (0 rad/s),
α is the angular acceleration (2.5 rad/s^2),
t is the time (20 seconds).
Plugging in the values:
ω = 0 + 2.5 * 20
ω = 50 rad/s
Therefore, the final angular velocity of the gyroscope is 50 rad/s.
c. What is the linear velocity at its edge (R = 0.05 m)?
The linear velocity of a point on the edge of a rotating object can be calculated using the formula:
v = ω * R
Where:
v is the linear velocity,
ω is the angular velocity (50 rad/s),
R is the radius of the gyroscope (0.05 m).
Plugging in the values:
v = 50 * 0.05
v = 2.5 m/s
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When an unstoppable force meets an immovable object.
When an unstoppable force meets an immovable object, it creates an intriguing paradox. An unstoppable force refers to an object that has an enormous amount of power, and it cannot be stopped. In contrast, an immovable object refers to an object that cannot be moved, no matter how much force is applied to it. This essay aims to explore this paradox in detail.
The phrase “when an unstoppable force meets an immovable object” is used to represent a situation where two parties with equal power and determination meet. It also symbolizes a conflict that cannot be resolved through compromise, and it raises the question of what happens when two opposing forces collide.
There are different interpretations of the phrase, but one common interpretation is that it is a paradox that is impossible to resolve logically. Logically, an unstoppable force cannot coexist with an immovable object. It raises the question of what happens when two opposing forces collide. In reality, such a scenario is impossible. This is because an unstoppable force cannot exist in the same space as an immovable object.
The phrase can also be interpreted metaphorically, representing a situation where two opposing beliefs or ideologies clash. When two people with different opinions meet, they often try to convince each other that they are right. However, if the two people hold beliefs that are diametrically opposed to each other, they may find themselves in a situation where neither of them is willing to compromise.
In conclusion, when an unstoppable force meets an immovable object, it creates a paradox that is impossible to resolve logically. It raises the question of what happens when two opposing forces collide. While the phrase is often used metaphorically to represent a clash of ideologies, it is important to note that such a situation is unlikely to happen in reality. This paradox serves as a reminder that there are some conflicts that cannot be resolved through compromise.
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To find the mass of the dissolved solid in the solubility experiment, subtract the initial mass from the
To find the mass of the dissolved solid in the solubility experiment, subtract the initial mass from the final mass.
In a solubility experiment, the goal is to determine the amount of solid substance that dissolves in a given solvent. To calculate the mass of the dissolved solid, you need to measure the initial mass of the solid before it is added to the solvent and the final mass of the solution after the solid has dissolved.To find the mass of the dissolved solid, subtract the initial mass from the final mass. This calculation gives you the mass of the solid substance that has dissolved in the solvent and is now present in the solution. It's important to ensure accurate measurements of the initial and final masses to obtain reliable results. Additionally, it's recommended to perform multiple trials and take the average of the values to increase the precision of the experiment.
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Peter Popoff is a televangelist who claims to heal people.
A list of potential answers
True
False
The statement is True. Peter Popoff is indeed a televangelist who gained attention for his claims of healing people during his televised religious services. However, it is important to note that his practices and claims have been subject to controversy and skepticism.
Peter Popoff rose to prominence in the 1980s with his faith healing ministry. He claimed to have received divine messages about individuals' illnesses and personal details, which he would then share during his television broadcasts. He held large-scale healing crusades where he would pray for individuals, and many claimed to have experienced miraculous healings.
However, in 1986, investigative efforts exposed that Popoff was using an earpiece through which his wife would feed him information about the audience members, obtained through pre-show interviews and questionnaires. This revelation significantly undermined his credibility and led to a decline in his popularity.
While some individuals may believe in his healing abilities, the exposed deception has led to widespread skepticism and criticism of his practices. It is essential for individuals to approach such claims with critical thinking and to seek evidence-based medical treatment when dealing with health issues.
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A square, four-legged table with a weight of 400 n rests on an even concrete floor. Assuming the weight is evenly distributed, what is the direction and magnitude of the normal force between the floor and each foot of the table?.
The direction of the normal force is perpendicular to the surface and the magnitude of the normal force is equal to the weight of the table divided by the number of legs.
When a square, four-legged table with a weight of 400 N rests on an even concrete floor, assuming the weight is evenly distributed,
the direction and magnitude of the normal force between the floor and each foot of the table are determined by the weight distribution and the number of legs of the table.
The normal force is the force that a surface exerts on an object in contact with it, perpendicular to the surface.
It is equal in magnitude and opposite in direction to the force that the object exerts on the surface. In this case, the direction of the normal force is perpendicular to the surface,
which is the even concrete floor. The magnitude of the normal force is equal to the weight of the table divided by the number of legs.
Since the table has four legs, the magnitude of the normal force between the floor and each foot of the table is 400 N/4 = 100 N.
The direction of the normal force is perpendicular to the surface, while the magnitude of the normal force is equal to the weight of the table divided by the number of legs. For a square, four-legged table with a weight of 400 N resting on an even concrete floor, the magnitude of the normal force between the floor and each foot of the table is 100 N.
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The athlete at point A runs 150m east, then 70m west and then 100 m east. How do i Determine the resultant force acting on the object?
To determine the resultant force acting on the object we need to find the net displacement. We can find the net displacement by subtracting the total distance travelled in the opposite direction (west) from the total distance travelled in the east direction. We can use this formula: Net displacement = Total displacement in the East direction - Total displacement in the West direction. Once we find the net displacement we can calculate the resultant force acting on the object.
The athlete runs 150m towards east, 70m towards west and again 100m towards east. Thus, total displacement in the East direction = 150m + 100m = 250mTotal displacement in the West direction = 70mNet displacement = Total displacement in the East direction - Total displacement in the West direction= 250m - 70m= 180mTherefore, the net displacement of the athlete is 180m towards east.
This displacement is called as the resultant displacement. Since the athlete has been moving towards east in the positive direction and towards west in the negative direction, thus his resultant displacement is the sum of the positive and negative distances he covered.
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During an investigation, equal volumes of hot and cold baking soda solution and calcium chloride solution were mixed in four cups. A record of the investigation is shown below:
Investigation Record
Cup Baking Soda Solution Calcium Chloride Solution
W Hot Cold
X Cold Cold
Y Cold Hot
Z Hot Hot
Baking soda reacts with calcium chloride to form bubbles. In which cup will bubbles form the fastest?
Cup W
Cup X
Cup Y
Cup Z
Baking soda reacts with calcium chloride to form bubbles fastest in Cup Z
Does temperature affect rate of reaction?The rate of a chemical reaction is impacted by temperature. In general, a rise in temperature causes the rate of response to rise, whereas a fall in temperature causes the rate to fall.
The collision theory helps explain how temperature affects reaction rate. This hypothesis states that for a reaction to take place, reactant molecules must collide with enough force and in the proper direction. Temperature affects the frequency and energy of particle collisions, which in turn affects the rate of response.
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