Based on the description provided, the expected type of eruption for the volcano would be an O Hawaiian eruption characterized lava fluids.
This type of eruption is characterized by the effusion of fluid lava that typically produces lava flows rather than explosive events. Based on the information given, the state of the volcano can be classified as O Active Dormant. The volcano has a history of generating lava flows over the past 10,000 years, indicating that it is still capable of erupting. However, there is no mention of recent eruptions, and the volcano is currently not showing signs of activity. The presence of very little tephra and the memory of the last eruption causing only forest fires suggest a relatively low level of recent volcanic activity.
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How long should a pendulum be to have a period of 3.61 s?
please show all work
A pendulum should be approximately 3.23 meters long to have a period of 3.61 seconds.
The period of a pendulum, which is the time it takes for one complete oscillation, is determined by its length. The equation that relates the period (T) to the length (L) of a pendulum is:
T = 2π√(L/g)
where g is the acceleration due to gravity (approximately 9.8 m/s²).
Rearranging the equation to solve for the length:
L = (T²g)/(4π²)
Substituting the given period T = 3.61 s and the acceleration due to gravity g = 9.8 m/s² into the equation:
L = (3.61² × 9.8) / (4π²)
= (13.0321 × 9.8) / (4π²)
= 127.5758 / (4π²)
≈ 127.5758 / 39.478
≈ 3.2298 m
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What is the kinetic energy, in eV e V , of an electron with a de Broglie wavelength of 2.4 nm n m
The kinetic energy of the electron with a de Broglie wavelength of 2.4 nm is 3.07 eV.
Kinetic energy is the energy of motion of a particle. When a particle is moving, it has kinetic energy. The kinetic energy of a particle can be calculated using the de Broglie equation, which relates the momentum and wavelength of a particle to its kinetic energy.
In this case, we are given the de Broglie wavelength of an electron and asked to find its kinetic energy in eV.The de Broglie equation is given by:
λ = h/p, where λ is the de Broglie wavelength, h is Planck's constant, and p is the momentum of the particle. Rearranging this equation gives:
p = h/λ, which we can use to find the momentum of the electron:
p = h/λ = (6.626 x 10⁻³⁴ J s)/(2.4 x 10⁻⁹ m) = 2.76 x 10⁻²⁵ kg m/s
To find the kinetic energy of the electron, we use the formula for kinetic energy:
K = 1/2 mv², where m is the mass of the electron and v is its velocity. We can find the velocity of the electron using the momentum:p = mv, so
v = p/m = (2.76 x 10⁻²⁵ kg m/s)/(9.11 x 10⁻³¹ kg) = 3.03 x 10⁶ m/s
Substituting this value into the kinetic energy formula gives:K = 1/2 mv² = 1/2 (9.11 x 10⁻³¹ kg) (3.03 x 10⁶ m/s)² = 4.92 x 10⁻¹⁹J
To convert this value to eV, we use the conversion factor 1 eV = 1.602 x 10^-19 J:
K = (4.92 x 10⁻¹⁹ J)/(1.602 x 10⁻¹⁹ J/eV) = 3.07 eV
Therefore, the kinetic energy of the electron with a de Broglie wavelength of 2.4 nm is 3.07 eV.
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Activity:
Module No & Title:
1. Knowing the alcohol content of your product is crucial in determining its price
as well as complying with regulations set by the
2. What is the value of ABW and ABV?
- In a given value: Initial Reading = 1. 045; Final Reading = 1. 010
- Subtract final reading from initial reading:
x 105
- Multiply the difference by 105 to get alcohol by weight (ABW):
% ABW
Multiply ABW by 1. 25: 3. 68% x 1. 25 =
% ABV
Therefore, based on the given initial and final readings, the alcohol content of the product would be approximately 4.594% ABV.
The module title seems to be cut off, but based on the information provided, it appears to be related to determining the alcohol content of a product.
To calculate the alcohol content, we first need to find the difference between the initial reading and the final reading:
Initial Reading = 1.045
Final Reading = 1.010
Difference = Initial Reading - Final Reading
Difference = 1.045 - 1.010
Difference = 0.035
To calculate the alcohol by weight (ABW), we multiply the difference by 105:
ABW = Difference × 105
ABW = 0.035 × 105
ABW = 3.675
The ABW value obtained is 3.675.
To convert ABW to alcohol by volume (ABV), we multiply ABW by 1.25:
ABV = ABW × 1.25
ABV = 3.675 × 1.25
ABV = 4.594
The ABV value obtained is approximately 4.594%.
Therefore, based on the given initial and final readings, the alcohol content of the product would be approximately 4.594% ABV.
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How do stationary charged particles interact at a distance with their surroundings?
Group of answer choices
by emitting protons into the surroundings
by creating magnetic force fields
by breaking up into smaller charges
by way of their electric fields
Stationary charged particles interact at a distance with their surroundings by the way of their electric fields.
We are aware that a magnetic field exists wherever current flows. This demonstrates that a magnetic field is present together with a flowing charge.
A stationary charge is a particle which produces only electric field in the surrounding space. If this charge moves, then it can produce magnetic field also.
It is unable to produce magnetic force fields, but it can interact with their environment at a distance via their electric fields. Magnets are unaffected by this electric field, which is caused by an imbalance in the electric charges. However, this might be expanded and felt in their surroundings in some way.
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We can roughly model a gymnastic tumbler as a uniform solid cylinder of mass 75 kg and diameter 1.0 m. If the tumbler rolls forward at .50 rev/s.A) how much total kinetic energy does he have? B) what percent of his total kinetic energy is rotational?
The gymnastic tumbler has a total kinetic energy of 0.9375 J, and 38.46% of that total kinetic energy is due to rotational motion.
What is kinetic energy?
Kinetic energy is the energy possessed by an object due to its motion. It is defined as the work required to accelerate an object of a certain mass from rest to its current velocity.
Given:
Mass of the tumbler (m) = 75 kg
Diameter of the tumbler (d) = 1.0 m
Angular velocity (ω) = 0.50 rev/s
The radius (r) of the tumbler is half of its diameter, so r = d/2 = 0.5 m.
Linear velocity (v) = ω * r
v = (0.50 rev/s) * (0.5 m)
v = 0.25 m/s
a) Total kinetic energy (K_total) of the tumbler consists of both translational and rotational kinetic energy. The translational kinetic energy (K_trans) can be calculated using the formula:
K_trans = (1/2) * m * v^2
K_trans = (1/2) * (75 kg) * (0.25 m/s)^2
K_trans = 0.9375 J
b) The rotational kinetic energy (K_rot) can be calculated using the formula:
K_rot = (1/2) * I * ω^2
I = (1/2) * m * r^2
I = (1/2) * (75 kg) * (0.5 m)^2
I = 4.6875 kg·m²
K_rot = (1/2) * (4.6875 kg·m²) * (0.50 rev/s)^2
K_rot = 0.5859 J
Percentage of rotational kinetic energy = (K_rot / K_total) * 100
Percentage of rotational kinetic energy = (0.5859 J / (0.9375 J + 0.5859 J)) * 100
Percentage of rotational kinetic energy ≈ 38.46%
Therefore, the gymnastic tumbler has a total kinetic energy of approximately 0.9375 J, and approximately 38.46% of that total kinetic energy is due to rotational motion.
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How could I track my running speed without a car or special equipment?
what happens to the current in a circuit if a 1.5 volt battery is removed and is placed by a 9 volt battery?
Answer:
The current would increase.
Explanation:
The current would increase. 10. The relationship between resistance and current in a circuit is that the greater the resistance the less the current and the greater the current the less the resistance is.
if a 1.5-volt battery is removed and placed by a 9-volt battery in a circuit, From Ohm's law we can say that the current flow inside the circuit will increase because the voltage increases (resistance remains constant).
What is Ohm's law?Ohm's Law is a fundamental law of physics that describes the relationship between the three basic electrical quantities: voltage, current, and resistance in a circuit.
It states that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. Mathematically, Ohm's Law is expressed as:
V = I x R
Where:
V = the voltage or potential difference between two points in the circuit, measured in volts (V).
I = the current flowing through the circuit, measured in amperes (A).
R = the resistance of the conductor, measured in ohms (Ω).
In other words, the voltage (V) across a circuit component is equal to the product of the current (I) flowing through the component and its resistance (R). This law is applicable to both DC (direct current) and AC (alternating current) circuits, as long as the resistance is constant.
Ohm's Law can be used to calculate any one of the three variables if the other two are known. For example, if the voltage and resistance in a circuit are known, the current flowing through the circuit can be calculated using the formula:
I = V / R
Here in the question,
The current in a circuit is determined by the resistance of the circuit and the voltage applied to it, according to Ohm's Law. If a 9-volt battery replaces a 1.5-volt battery, the voltage applied to the circuit will increase, which may cause an increase in the current flowing through the circuit if the resistance remains the same.
However, the increase in voltage may also cause an increase in the heat generated by the circuit, which could potentially damage the components or cause a safety hazard. Therefore, it is important to ensure that the components in the circuit can handle the higher voltage before replacing the battery.
It's also important to note that the current may also depend on the internal resistance of the batteries. A 9-volt battery typically has a lower internal resistance than a 1.5-volt battery, which means it can supply more current to the circuit. So, even if the resistance of the circuit remains the same, the current may still increase due to the higher voltage and lower internal resistance of the 9-volt battery.
Hence, The current flowing through the circuit increased when we removed a 1.5-volt battery and replaced it with a 9-volt battery.
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valancy of an atom is +2. what does it mean.
Answer: I hope you find it useful
Explanation: Group 2 elements have two valence electrons. The two valence electrons are easily lost in the formation of chemical bonds. Once the two electrons are lost, the atom then has a full outer shell and is therefore more stable.
so, if an atom has valency 2 , then it means that the atom can combine with 2 other atoms .
Please help What is the main point of paragraph 3? Will mark brainliest! Give me a good answer please
Determine an expression for the velocity va of the cart a down the incline in terms of the upward velocity vb of cylinder
b. If h = 1.57 m, x = 3.17 m, and vb = 3.03 m/s, what is va?
Given :
h= 1.57 m, x = 3.17 m, and vb = 3.03 m/s .
To Find :
The upward velocity \(v_b\) of cylinder .
Solution :
Component of \(v_a\) along string \(v_s= v_acos\ \theta\) .
Now ,
\(tan\ \theta=\dfrac{h}{x}\\\\cos\ \theta=\dfrac{x}{\sqrt{x^2+h^2}}\)
Now , from the figure :
\(2v_b=v_s\\\\2v_b=v_acos\ \theta\\\\v _a=\dfrac{2v_b}{cos\ \theta}\\\\v_a=\dfrac{2v_b\sqrt{x^2+h^2}}{x}\)
Putting all given values in above equation :
\(v_a=\dfrac{2\times 3.03\times \sqrt{3.17^2+1.57^2}}{3.17}\\\\v_a=6.76\ m/s\)
Therefore , value of \(v_a\) is 6.76 m/s .
Hence , this is the required solution .
eo *Write any two uses of good condutor of heat
any two uses of good conductor of heat are
aluminium, cooper, metal are good conductor of heat and they are used for making utensils.
gold, silver, are also good conductor of heat they are used for making jewelleries.
A speeding car passes a highway patrol checkpoint, then decelerates at a constant rate. After 5 s, the car is 225 m from the checkpoint, and its speed is then 30 m/s. What was the car’s velocity when it passed the checkpoint?.
The car’s velocity when it passed the checkpoint was of: 60 m/s
The formula and procedure we will use to solve this exercise is:
vi = [(2 *x)/ t] - vf
Where:
x = distancet = timevi = initial velocityvf = final velocityInformation about the problem:
x = 225mt = 5 svf= 30 m/svi = ?Applying the initial velocity formula we have:
vi = [(2 *x)/ t] - vf
vi = [(2 * 225m)/5 s ] - 30 m/s
vi = [(450 m)/5 s ] - 30 m/s
vi = 90 m/s - 30 m/s
vi = 60 m/s
What is velocity?It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).
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What does the following figure illustrate?
A. Diffraction
B. Refraction
C. Resonance
D. Interference
Answer:
the answer would be c sry if it is wrong
At rest, a car's horn has a frequency of
395 Hz. Car A passes car B on the street
in the same direction. If car A is traveling
at 22.0 m/s and car B is traveling
at 19.5 m/s, what frequency does
car B hear when car A honks?
(Speed of sound = 343 m/s)
(Unit = Hz)
The frequency heard by car A is determined as 398.4 Hz.
What is the frequency heard by car A?
The frequency heard by car A is determined by applying the following equation.
f = fs(v - v₀) / (v - vs)
where;
v is the speed of sound = 343 m/sv₀ is the speed car B = 19.2 m/svs is the speed of car A = 22 m/sfs is the frequency of car A = 395 Hzf is the frequency of car B = ?f = 395(343 - 19.2) / (343 - 22)
f = 395(1.0087)
f = 398.4 Hz
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list at least three differences between storms and atmospheric circulation on jupiter compared to those phenomena on earth.
Jupiter's storms and atmospheric circulation differ from those on Earth in their scale, composition, and dynamics.
Jupiter's atmospheric circulation and storms are much larger and more intense than those on Earth. For example, the Great Red Spot, a persistent storm on Jupiter, is over twice the size of Earth.
Jupiter's atmosphere is primarily composed of hydrogen and helium, while Earth's atmosphere is composed mostly of nitrogen, oxygen, and trace amounts of other gases. This difference in composition leads to different behaviors and processes in the atmosphere.
The energy source driving atmospheric circulation on Jupiter is primarily internal, from the planet's internal heat, while on Earth it is primarily driven by solar radiation. This leads to different patterns of circulation and different types of storms.
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A 200-kg boulder is 1000-m above the ground.
What is its kinetic energy when it is 1000-m above the ground?
The kinetic energy of the boulder when it is 1000 meters above the ground is 1,960,000 Joules.
The equation: gives the kinetic energy of an object.
Kinetic Energy is equal to (1/2)*matter*velocity2.
The boulder in this instance is 1000 metres above the surface, which indicates that it has gravitational potential energy. This potential energy is changed into kinetic energy as it descends.
The boulder's potential energy is supplied by: when it is 1000 metres above the ground.
Potential Energy equals mass times gravity times height.
Potential Energy = 200 kg x 9.8 m/s2 x 1000 m
1,960,000 Joules are equal to potential energy.
This potential energy is transformed into kinetic energy as the boulder falls. All of the potential energy is changed into kinetic energy when it touches the ground.
It's vital to note that this estimate makes the assumption that there won't be any energy lost because of things like friction or air resistance. These elements would have an impact on the boulder's actual kinetic energy when it hits the ground in a real-world setting.
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When a piece of metal is exposed to a magnetic field for a long time , how does it also become magnetized?
Answer: Ferromagnetism is a phenomenon that occurs in some metals, most notably iron, cobalt and nickel, that causes the metal to become magnetic. The atoms in these metals have an unpaired electron, and when the metal is exposed to a sufficiently strong magnetic field, these electrons' spins line up parallel to each other.
Solve the Football word scramble.
Answer:
1.Tackle
2.helmet
3.touchdown
4.quarterback
5.interference
6.touchback
7.safety
8.cornerback
9.handoff
10.lateral
11. reciever
12.completion
13.interception
14.center
15.referee
16.huddle
17.overtime
18. facemask
19.pigskin
20.penalty
Explanation:
The correct words are "Tackle, Theme, Touchdown, Quarterback, Interference, Touchdown, Safety, Cornerback, Offhand, Aerial, Receiver, Completion, Receptionist, Center, Referee Huddle, Overtime, Safesmack, Kicking, and Penalty."
A football word scramble is a game where a series of letters are provided in a scrambled order, and the goal is to rearrange those letters to form words related to football. Players need to unscramble the letters to identify the correct football-related terms, such as positions, equipment, or actions in the game. It is a fun and engaging activity that challenges players' knowledge and word-solving skills while connecting to the theme of football.
1. Tackle
2. Theme
3. Touchdown
4. Quarterback
5. Interference
6. Touchdown
7. Safety
8. Cornerback
9. Offhand
10. Aerial
11. Receiver
12. Completion
13. Receptionist
14. Center
15. Referee
16. Huddle
17. Overtime
18. Safesmack
19. Kicking
20. Penalty
Therefore, The correct answers are "Tackle, Theme, Touchdown, Quarterback, Interference, Touchdown, Safety, Cornerback, Offhand, Aerial, Receiver, Completion, Receptionist, Center, Referee, Huddle, Overtime, Safesmack, Kicking, and Penalty."
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What kind of effects should a drug have for it to be called psychoactive?
Dont decorate a tree in front of a cat lol we finished decorating the tree last night and the cat climbed up the tree and knocked it over XD
The diagram above shows a current-carrying wire (the red dot),
that produces the magnetic field pattern shown in the diagram
when viewed from above.
Which direction is the current flowing in?
The direction of the current flowing in the wire is inside the plane when viewed from above.
The direction of a magnetic field in a current carrying conductor can be found out by using Right Hand Thumb Rule.
According to this rule. if we suppose a straight wire is carrying current, not if we align the thumb of our right hand in the direction of the flowing current, then the direction of the magnetic field is same as that of the the curling fingers.
In our question, if we apply this rule then we can find, if we align our fingers in the same manner as that of the magnetic field, then the direction of our pointing thumb will be inside. The direction of thumb pointing will be same as that of the current.
So, we can say that by Right Hand Thumb Rule, the direction of the flowing current is Inside when viewed from top.
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The actual yield of a reaction can be compared with the maximum theoretical yield to calculate what?
Answer:
Explanation:
percentage yield
The actual yield of a reaction can be compared with the maximum theoretical yield to calculate the percent yield of a reaction.
What is a theoretical and actual yield?The theoretical yield is the maximum amount of product that could be obtained from the reaction under ideal conditions. The actual yield is the actual amount of product that was obtained from the reaction.
The actual yield of a reaction can be compared with the maximum theoretical yield to calculate the percent yield of a reaction. The percent yield is a measure of the efficiency of a chemical reaction and is calculated as follows:
Percent yield = (actual yield / theoretical yield) × 100
By comparing the two, the percent yield gives an indication of how well the reaction actually performed in comparison to the ideal conditions. A high percent yield indicates that the reaction was efficient and close to ideal conditions, while a low percent yield indicates that the reaction was less efficient and not close to ideal conditions.
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A ball is shot at an angle of 45 degrees into the air with initial velocity of 41 ft/sec. Assuming no air resistance, how high doss it go? How far away does it land? Hint: The acceleration due to gravity is 32ft per second squared. A particle is moving with acceleration a(t)=24t+16. its position at time t=0 is s(0)=12 and its velocity at time t=0 is v(0)=15. What is its position at time t=14 ? Find the average value of f(x)= x³8 +9x on the interval [1,2].
The ball reaches a maximum height of approximately 42.83 ft. the ball lands at a horizontal distance of approximately 81.36 ft. he average value of f(x)= x³8 +9x on the interval is 10.5.
To determine the maximum height and horizontal distance traveled by the ball shot at an angle of 45 degrees with an initial velocity of 41 ft/sec and neglecting air resistance, we can use basic kinematic equations.
Maximum Height:
The maximum height reached by the ball can be calculated using the equation for vertical displacement:
y_max = (v₀² * sin²θ) / (2g),
where v₀ is the initial velocity, θ is the launch angle (45 degrees), and g is the acceleration due to gravity (32 ft/s²).
Plugging in the values, we get:
y_max = (41² * sin²45°) / (2 * 32) = 42.83 ft.
Therefore, the ball reaches a maximum height of approximately 42.83 ft.
Horizontal Distance:
The horizontal distance traveled by the ball can be calculated using the equation for horizontal displacement:
x = v₀ * cosθ * t,
where x is the horizontal distance and t is the time of flight.
Since the ball goes up and then comes back down, the total time of flight can be calculated as:
t_total = 2 * (v₀ * sinθ) / g.
Plugging in the values, we get:
t_total = 2 * (41 * sin45°) / 32 ≈ 2.88 s.
Using this total time, we can find the horizontal distance:
x = 41 * cos45° * 2.88 ≈ 81.36 ft.
Therefore, the ball lands at a horizontal distance of approximately 81.36 ft.
Moving on to the second question:
To find the position of a particle at time t = 14, given its acceleration, initial position, and initial velocity, we can use the equations of motion.
The position function s(t) can be obtained by integrating the acceleration function twice with respect to time. Since the given acceleration is a linear function, we have:
s(t) = (1/6)at³ + (1/2)v₀t² + s₀,
where a is the acceleration, v₀ is the initial velocity, and s₀ is the initial position.
Plugging in the given values, we get:
s(14) = (1/6)(24)(14)³ + (1/2)(15)(14)² + 12 ≈ 546.67.
Therefore, the position of the particle at time t = 14 is approximately 546.67.
Lastly, for the average value of f(x) = x³ + 9x on the interval [1, 2], we can use the formula for the average value of a function on an interval:
Average value = (1 / (b - a)) * ∫[a, b] f(x) dx,
where [a, b] represents the interval.
Plugging in the values, we have:
Average value = (1 / (2 - 1)) * ∫[1, 2] (x³ + 9x) dx.
Evaluating the integral, we get:
Average value = (1 / 1) * [(1/4)x⁴ + (9/2)x²] evaluated from 1 to 2,
Average value = (1/4)(2⁴ + 9(2²)) - (1/4)(1⁴ + 9(1²)),
Average value = (1/4)(16 + 36) - (1/4)(1 + 9),
Average value = (1/4)(52) - (1/4)(10),
Average value = 13 - 2.5,
Average value ≈ 10.5
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Subduction zones are associated with
Group of answer choices below
A. divergent boundaries.
B. transform boundaries.
C. convergent boundaries.
D. none of these
Subduction zones are associated with convergent boundaries.
option C is the correct answer.
What is subduction zone?
Subduction zones are plate tectonic boundaries where two plates converge or meet together, and one plate is pushed below the other plate due to underlying forces.
The following are characteristics of subduction zones;
In a subduction zone, at least one of the converging plates must be cold and dense. The more dense plate is usually the older oceanic plate.One plate must bend and move beneath the other plate. That is one plate must be on top while the other plate must be below.Convection currents, or cycling, in the mantle, must be moving downwards, pulling on the denser plate.Subduction zones is usually associated with some geo-hazards, such as;
earthquakes and volcanoesThus, we can conclude that the main feature or characteristics of subduction zones is convergent boundaries resulting from the convergent plates.
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Suppose a pv farm requires 2,000 panels to generate power at 40% efficiency. If a new panel were invented that was 50% efficient, how many panels would be required?.
The number of panels required when the efficiency of the machine changes to 50% is 1,600 panels.
What is the efficiency of a machine?The efficiency of a machine or any device is the measure of the ratio of the output energy or output work of the machine or device to the input work or energy of the device.
The efficiency of the PV farm describes how well it converts solar energy from the sun into useful energy.
The smaller the number of panels required by the PV farm, the more efficient the PV farm is and vice versa.
The number of panels required when the efficiency of the machine changes is calculated as follows;
40% ------> 2,000 panels
50% --------> ?
= (40 x 2000) / 50
= 1,600 panels
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Think of Rutherford's experiment. Most alpha particles passed straight through, but a few were repelled so strongly that they were bounced back or deflected at large angles. This led Rutherford to conclude that the charge of the nucleus of an atom must be... what?
Answer:
Rutherford considered these observations and he concluded: The fact that most alpha particles went straight through the foil is evidence for the atom being mostly empty space. A small number of alpha particles being deflected at large angles suggested that there is a concentration of positive charge in the atom.
Hope it helps
Most alpha particles passed straight through, but a few were repelled so strongly that they were bounced back or deflected at large angles. This led Rutherford to conclude that the charge of the nucleus of an atom must be positive.
What are atomic models?There are some models that are used to explain the arrangements of subatomic particles inside the atom based on the atomic theory of atoms known as the atomic models.
As given in the problem statement Think of Rutherford's experiment. Most alpha particles passed straight through, but a few were repelled so strongly that they were bounced back or deflected at large angles.
Most alpha particles were resisted so strongly that they were bounced back or deflected at huge angles, but a handful did not.
Hence, Rutherford came to the conclusion that an atom's nucleus must have a positive charge as a result of this.
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the complete photoelectron spectrum for an element is shown above. which of the following observations would provide evidence that the spectrum is consistent with the atomic model of the element?
The energy required to remove one electron from the atom is low hence the atom will form compounds where it has a charge of +1.
The photoelectron spectrum can be used to determine the energy of electrons in atoms and molecules. The technique depends on the use of ultraviolet light to cause ionization of atoms from chemicals species and the binding energy of these electrons are determined.
From the question, we can see that there are two values of binding energy. However, the magnitude of difference between the energy levels is high so the electrons can not be in one shell. Therefore, the element will form compounds in which it has a charge of +1.
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What is a valid frame of reference for observing motion if you
are riding on a bus with a friend?
a the bus driver at the front of the bus
b the wastebasket on the bus
c your friend sitting next to you
d objects like trees and houses outside the windows
Answer: D
Explanation:
a boeing 777 is initially moving down the runway at 7.5 m/s preparing for takeoff. the pilot pulls on the throttle so that the engines give the plane a constant acceleration of 1.6 m/s2. the plane then travels a distance of 1600 m down the runway before lifting off. how long does it take from the application of the acceleration until the plane lifts off, becoming airborne?
It takes the Boeing 777 approximately 35.4 seconds to lift off and become airborne.
To solve this problem, we can use the equation of motion:
d = v_initial * t + 0.5 * a * t^2
Where d is the distance (1600 m), v_initial is the initial velocity (7.5 m/s), a is the acceleration (1.6 m/s^2), and t is the time we want to find.
We can rearrange the equation to solve for t:
t = (-v_initial + sqrt(v_initial^2 + 2 * a * d)) / a
Plugging in the values:
t = (-7.5 + sqrt(7.5^2 + 2 * 1.6 * 1600)) / 1.6 ≈ 35.4 seconds
Summary: With a constant acceleration of 1.6 m/s^2 and an initial velocity of 7.5 m/s, the Boeing 777 takes about 35.4 seconds to travel 1600 meters down the runway and become airborne.
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a child with a mass of 30 kg is standing on a spring scale in an elevator. if the spring scale reads 360 n, what are the magnitude and direction of the acceleration of the elevator at this time? the acceleration due to gravity is 10 m/s2 .
The acceleration of the elevator at this time was 2m/s² and the elevator was accelerating the upward direction.
The mass of the child standing on a spring scale in an elevator is 30 kg the elevator is showing a reading of 360 Newtons.
The reading note by the elevator is given by radiation,
W = M(g+a)
Where w is the reading of the spring scale,
M is the mass of the child,
g is the gravitational acceleration which is given to be 10m/s² and a is the acceleration of the elevator.
Putting values,
360 = 30(10+a)
12 = 10+a
a = 2m/s²
As you can see from the above result that the acceleration of the lift is 2m/s² and because it is positive it means that the elevator is accelerating in the upward direction.
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