The radius of a potassium atom is 0.227 nanometer (nm). what is this radius in centimeters (cm)?
a. 2.27 Ã 10â8 cm
b. 2.27 Ã 106 cm
c. 2.27 Ã 10â10 cm
d. 2.27 Ã 10â11 cm check answer
A nanometer is equivalent to 10^-9 meter. While a centimetre is equivalent to 10^-2 meter. Therefore the conversion factors are:
1 nanometer = 10^-9 meter
1 centimeter = 10^-2 meter
So,
0.227 nanometer * (10^-9 meter / 1 nanometer) * (1 centimeter / 10^-2 meter) = 2.27 x 10^-8 centimeter
Answer:
a
if a four engine jet accelerates down the runway at 2.0m/s^2 and one of its engines suddenly fails how much acceleration will the remaining three produce
If one of the four engines suddenly fail, so this means that we only get 3 / 4 of the original force. Since force is the product of mass and acceleration and mass is constant, therefore we get 3 / 4 of the original acceleration.
So the remaining acceleration is:
a = (2.0 m/s^2) * (3 / 4)
a = 1.5 m/s^2
A car accelerates from rest to a velocity of 5 meters/second in 4 seconds. What is its average acceleration over this period of time?
A: its acceleration is 1.25 meters/second.
B: its acceleration is 5 meters/second.
C: its acceleration is 0.8 meters/second.
D: its acceleration is 1.25 meters/second^2.
E: its acceleration is 20 meters.
The train speeds passed Holly at 70 km/h north ward. This spider crawls past lukes foot in the same direction at 30 m/h. What is the velocity of the spider relative to Holly?
The value of acceleration due to gravity on pluto is about 0.61 meters\second. How much will an object that weighs 250 newtons on earth weigh on pluto?
Answer: B.
15.6 newtons
Explanation: edmentum
In comparing an electric circuit to a roller coaster, which part of the roller coaster would be equivalent to a battery?
The sun lives in which component of the milky way?
In an old-fashioned amusement park ride, passengers stand inside a 3.0-m-tall, 5.0-m-diameter hollow steel cylinder with their backs against the wall. the cylinder begins to rotate about a vertical axis. then the floor on which the passengers are standing suddenly drops away! if all goes well, the passengers will "stick" to the wall and not slide. clothing has a static coefficient of friction against steel in the range 0.60 to 1.0 and a kinetic coefficient in the range 0.40 to 0.70. what is the minimum rotational frequency, in rpm, for which the ride is safe?
Final answer:
The minimum rotational frequency needed for the amusement park ride to be safe is between 0.165 and 0.215 revolutions per minute. This is calculated based on the coefficient of static friction between the riders' clothing and the wall, and the radius of the cylinder.
Explanation:
In order for the riders to not slide down the wall of the amusement park ride, the centripetal force must be greater than or equal to the force of static friction between the riders' clothing and the wall. The centripetal force is given by the formula:
Fc = (mv^2) / r
where m is the mass of the rider, v is the linear speed, and r is the radius of the cylinder. The force of static friction is given by:
fs = μsN
where μs is the coefficient of static friction and N is the normal force.
At the minimum rotational frequency, the riders will experience the maximum static friction force:
fs(max) = μsN
Substituting the values and equations, we get:
(mv^2) / r = μsN
Since the normal force N is equal to the weight of the riders, we have:
(mv^2) / r = μs(mg)
Canceling out the mass on both sides and solving for v, we get:
v = √(μsgr)
The minimum rotational frequency is the linear speed v divided by the circumference of the cylinder:
f(min) = v / (2πr)
Substituting the value of v, we have:
f(min) = √(μsg / (2π))
Using the given range for the coefficient of static friction, the minimum rotational frequency is between 0.165 and 0.215 revolutions per minute.
In the pulley system shown below, a 360 N weight is slowly lifted. Assuming the system is 100% efficient and each pulley is weightless, what is the minimum input force needed to lift the weight? Rope Pile L= 16.74m
A. 61 N
B. 121 N
C. 181 N
D. 361 N
Answer:
A. 61 N
Explanation:
In this system, there are three moveable pulleys. In this case, the rope will have to move six times as far as the weight will rise. In other words, the input distance is 6 times the output distance ( d in =6⋅ d out ) . Because the efficiency is 100%, the work input is equal to the work output, so we have:
work input = work output
f( in) ⋅ d( in) = f( out) ⋅ d( out)
f( in) ⋅ (6 ⋅ d( out)) = f( out) ⋅ d( out)
f( in) ⋅ 6 = f( out)
f( in) ⋅ 6 = 360 N
f( in) = 60 N
Another way to think of this is that since the rope has to move 6 times as far as the height of the weight, the mechanical advantage will be 6. Therefore, the input force needed is 360 ÷ 6 = 60 N . Of course, 60 N will balance the object, so a force slightly greater than 60 N (like 61 N) will be required to lift it.
Compare and contrast rutherford's "planetary model" of the atom with our current understanding of an atom's internal structure.
Rutherford's model revolutionized atomic theory by proposing a nucleated structure. Our current understanding, based on quantum mechanics, offers a more accurate and probabilistic description of the atom's internal structure.
Rutherford's model, proposed in 1911, was a significant departure from the earlier plum pudding model. It postulated a positively charged nucleus at the center of the atom, with negatively charged electrons orbiting around it in a manner similar to planets orbiting the sun.
However, our current understanding of the atom, based on quantum mechanics, is much more complex:
1. Electron Orbitals: Instead of well-defined orbits, electrons are found within orbitals, which are regions of space around the nucleus where the probability of finding an electron is high. These orbitals are defined by quantum numbers and have various shapes (s, p, d, f, etc.).
2. Quantization: Electrons can only occupy certain energy levels, and the energy of an electron in an atom is quantized. This is in contrast to the planetary model, where electrons could theoretically occupy any orbit at any distance from the nucleus.
3. Nuclear Structure: The nucleus itself is composed of protons and neutrons, which are further made up of quarks. Rutherford's model did not delve into the substructure of the nucleus.
4. Electron Spin and the Pauli Exclusion Principle: Electrons have an intrinsic property called spin, and the Pauli Exclusion Principle states that no two electrons in an atom can have the same set of quantum numbers.
Wo particles are separated by a certain distance. the force of gravitational interaction between them is f0. now the separation between the particles is tripled. find the new force of gravitational interaction f1.
The speed of a 4.0 n hockey puck, sliding across a level ice surface, decreases at the rate of 0.61 m/s2 . the coefficient of kinetic friction between the puck and ice is: hint: find the puck's mass first.
According to the periodic table, the average atomic mass of helium is
Helium has an atomic mass of 4.00 atomic mass units.
A 0.50 kilogram frog is at rest on the bank surrounding a pond of water. As the frog leaps from the bank, the magnitude of the acceleration of the frog is 3.0 meters per second^2. Calculate The magnitude of the net force exerted on the frog as it leaps.
The magnitude of net force exerted on the frog is of 1.5 N.
Given data:
The mass of frog is, m = 0.50 kg.
The magnitude of acceleration of frog is, [tex]a = 3.0 \;\rm m/s^{2}[/tex].
As per the concept of Newton's Second law, the force applied on any object is equal to the product of mass and acceleration of an object. Then the expression is given as,
[tex]F=m \times a[/tex]
Solving as,
[tex]F = 0.50 \times 3.0\\\\F=1.5 \;\rm N[/tex]
Thus, we can conclude that the magnitude of net force exerted on the frog is of 1.5 N.
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As Lucy pushes a box across the floor, she exerts a force on the box in the forward direction. What is the equal and opposite force in this interaction, according to Newton\'s third law?
Final answer:
Newton's third law dictates that as Lucy pushes a box forward, the box pushes back with an equal and opposite force.
Explanation:
According to Newton's third law, whenever Lucy pushes the box across the floor exerting a force on it, the box exerts an equal and opposite force back onto Lucy. This law states that forces occur in equal but-opposite-to pairs -- meaning, if object A exerts a force on object B, object B exerts a force of equal magnitude but in the opposite direction on object A. In Lucy's case, as she pushes the box forward, the box pushes back on her with the same amount of force.
Velocity question...is it A B Cor D
If a motorcycle starts from rest and maintains a constant acceleration of 3 m/s^2, what will its velocity be after 10 s?
A. 10 m/s
B. 30 m/s
C. 90 m/s
D. 100 m/s
Which of the following is not an example of an abiotic factor? a. plants b. air c. temperature d. soil Please select the best answer from the choices provided A B C D
The living beings in an ecosystem are named biotic factors. Living beings involve plants, creatures, bacteria, parasites and many more. The non-living components of an ecosystem are named abiotic factors. In an ecosystem, few abiotic factors are sunshine, temperature, climatic gases, water, and clay.
Plants are not an example of an abiotic factor.
Further Explanation:
Many factors affect the environment such as some factors determines how much the tree can grow, why birds are migrating one place to another, and where the plants and animals are found. There are mainly two types of factors that influence the environment are
Biotic Abiotic
Abiotic factors are referred as a non-living part of an environment that can easily influence living organisms. These factors are very crucial for living organisms. Every plant and animal requires these factors to live. Without these factors organism can become dehydrated, and week. Examples of Abiotic factors are:
Water Sunlight Temperature Oxygen Soil
Biotic factors are referred to as all the living parts of an ecosystem. For example, animals and plants are biotic factors. These living things of the ecosystem interact with each other in different ways. Thus, plants are part of biotic factors and not part of abiotic factor.
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Answer Details:
Grade: High School
Subject: Biology
Chapter: Ecology
Keywords:
Biotic, abiotic, sun, light, water, oxygen, plant, animal, non-living, living, ecosystem, organism, tree, grow, bird, migration.
When did galileo discover projectile motion?
A copper ball and an aluminum ball of mass 150 g each are heated to 100°C and then cooled to a temperature of 20°C. The heat lost by the copper ball is 4.6 kJ. The heat lost by the aluminum ball is 10.8 kJ. What is the specific heat of copper, if the specific heat of aluminum is 0.90 J/g°C?
The specific heat of aluminum is actually simply a diversion. Because we can directly compute for the specific heat of copper using the formula:
ΔH = m C ΔT
where ΔH is change in enthalpy or heat lost, m is mass, C is specific heat and ΔT is change in temp
4,600 J = 150 g * C * (100 °C - 20°C)
C = 0.38 J/g°C
Answer:
0.383 J/g°C
Explanation:
The heat emitted by the copper ball while cooling down is given by:
[tex]Q=m C_s \Delta T[/tex]
where:
m = 150 g is the mass of the ball
Cs = ? is the specific heat of copper
[tex]\Delta T=100^{\circ}C-20^{\circ}C=80^{\circ}C[/tex] is the change in temperature
We know that the heat lost by the copper ball is
[tex]Q=4.6 kJ=4600 J[/tex]
So we can re-arrange the formula to find the specific heat capacity:
[tex]C_s = \frac{Q}{m \Delta T}=\frac{4600 J}{(150 g)(80^{\circ} C)}=0.383 J/g^{\circ}C[/tex]
What kinds of images are made by painting or drawing on top of the surface of a rock?
What two minerals would be most useful as grains on sandpaper
Diamond Abrasive and Mineral Polisher are the most useful as grains on sandpaper.
What is Sandpaper?Sandpaper is also known as glasspaper. It is used for a type of coated abrasive consisting of sheets of paper or cloth with abrasive material glued to one face.
Sandpaper is produced in a variety of grit sizes which are used
1. Remove material from surfaces to make them smooth or to remove a layer of material
2. Surface roughening
Diamond abrasives and mineral polishers are some examples of sandpapers used as a grain. Diamond abrasive powder or crushed diamond used as an abrasive is also known as diamond powder. A mineral polisher is a mineral that forms or finishes a workpiece by rubbing it.
Thus, Diamond Abrasive and Mineral Polisher are the most useful as grains on sandpaper.
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The wavelength of a wave is the wavelength of a wave is how strong the wave is. equal to the speed of the wave times the wave's frequency. the distance between where the wave is emitted and where it is absorbed. the distance between two adjacent peaks of the wave. the distance between a peak of the wave and the next trough.
The wavelength is the distance between two adjacent peaks of the wave.
Hence, option C is correct.
What is Wavelength?The distance between two identical locations (adjacent crests) in successive cycles is known as the wavelength, and it is used to describe waveform signals that are transmitted over wires or into space. Typically, in wireless systems, this length is specified in meters (m), centimeters (cm), or millimeters (mm). The wavelength is more frequently described in nanometers (nm), which are units of 10-9 m, or angstroms, which are units of 10-10 m, for infrared (IR), visible light (UV), and gamma radiation.
Frequency, which is defined as the number of wave cycles per second, and wavelength have an inverse relationship. The wavelength of a signal decreases with increasing frequency, or we can say that wavelength and refractive index are inversely proportional to each other.
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If a space craft that seems to be motionless in deep space is given some type of quick push what will happen?
A: the space craft will not move due to air resistance
B: the space craft will not move because it only works on earth
C: the space craft will move and then slowly come to a stop on it own
D: the space craft will move and will not stop until it is stopped by an equal and opposite force
Final answer:
In deep space, d) a spacecraft given a quick push will keep moving indefinitely until an equal and opposite force stops it, in accordance with Newton's First Law of Motion. This is due to the lack of air resistance and minimal gravitational pull in deep space.
Explanation:
If a spacecraft that seems to be motionless in deep space is given some type of quick push, the correct answer is D: the spacecraft will move and will not stop until it is stopped by an equal and opposite force. This outcome is dictated by Newton's First Law of Motion, often referred to as the law of inertia. According to this law, in the absence of an external force, an object at rest remains at rest, and an object in motion continues in motion with the same speed and in the same direction. Space, particularly deep space, has neither air to cause resistance nor sufficient gravitational pull from nearby masses to significantly alter the craft's course, assuming it's far enough from any massive body.
For example, spacecraft in interplanetary space operate for the most part without continuous thrust. They rely on brief engine fires to make adjustments to their trajectory or speed and then continue on their course due to the lack of resistance. Similarly, an asteroid travelling through space distant from gravitational forces will not slow down unless acted upon by another force.
A player holds two baseballs a height (h) above the ground. He throws one vertically upward at speed (vo) and the other one vertically downward at the same speed. Determine the speed of each ball when it strikes the ground and the difference between their times of flight.
Final speeds of both baseballs will be the same when they hit the ground, calculated by the kinematic formula, and the difference in time of flight is twice the time it takes for the upward-thrown ball to reach its highest point and start falling.
When a player throws one baseball vertically upward at speed (vo) and another vertically downward at the same speed, the formula to calculate the final velocity (v) at the point of impact, ignoring air resistance, is given by v = √(v₀^2 + 2gh), where g is the acceleration due to gravity (9.81 m/s²) and h is the height from which the balls were thrown.
The ball thrown downwards will have an initial speed of v₀ downwards; therefore its final speed will be v = v₀ + √(2gh).
The ball thrown upwards will reach a velocity of zero before changing direction and falling back down, thus its final speed will converge on the same value as a ball thrown downwards (ignoring air resistance and the initial upward speed).
The difference in time of flight is due to the time it takes for the upward thrown ball to stop and start falling, which is t = v₀/g.
So, the upward thrown ball will take an additional 2t (up and down) time to hit the ground compared to the downward thrown ball.
Utilizing the kinematic equations for projectile motion can aid in solving for these values.
A 30.0 kg object has an initial velocity of 7.00 m/s and a final velocity of 10.0 m/s. The work done on the object is ___________ J. (Report the answer to three significant figures.)
The work done on the object during this motion is 765 J.
The given parameters;
mass of the object, m = 30 kginitial velocity of the object, u = 7 m/sfinal velocity of the object, v = 10 m/sThe work done on the object is determined by applying work-energy theorem.
W = ΔK.E
W = ΔK.E = ¹/₂m(v² - u²)
W = ¹/₂ x 30(10² - 7²)
W = 765 J
Thus, the work done on the object during this motion is 765 J.
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If I drop a watermelon from the top of one of the tower dorms at CSU, and it takes 3.34 seconds to hit the ground, calculate how tall the building is in meters
Which is a major area of study in psychology?mentalism totalculturalism behaviorism actionism
Answer: behaviorism
Explanation:
The psychology can be define as the scientific study of the function of the mind and the behavior associated with it. The wide discipline of psychology deals with the study of the human development, health, sports, clinical , cognitive and social behavior.
The major area of study in psychology is the behaviorism. It is a systematic approach which is used to understand the behavior of the human beings. The behavior is the response to various stimuli of the environment. The behavior is associated with the reinforcement and punishment.
What influences the strength of an electric field?
25 points!
A boy with a mass 50 kg walks up the stairs from the ground to the top of a spiral water slide in 1 minute. The height of the slide is 11.5 m above the ground. As the boy slides down the slide and reaches the bottom, his speed is 12 m/s and the distance traveled along the slide is 108 m.
Find the mechanical energy lost by the boy in sliding down the slide.
What is the average frictional force acting on the boy?
On a typical seismogram, _____________ will show the highest amplitudes.
a. p waves
b. surface waves
c. s waves
d. body waves
On a typical seismogram, surface wave will show the highest amplitudes. The correct option is b.
What is seismogram?A seismograph produces a graph known as a seismogram. It is a log of the ground motion over time at a measurement station.
Seismograms typically capture motions along three cartesian axes, with the x and y axes parallel to the surface of the Earth and the z axis perpendicular to it.
Earthquake location and magnitude are found via seismograms. It is possible to think of an earthquake's magnitude as changing depending on how much energy is released at the rupture point.
Geologists utilize a seismometer, sometimes known as a seismograph, to measure and capture seismic waves. Surface waves often have the highest amplitudes on a seismogram.
Thus, the correct option is b.
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