The number of atoms required to span the given distance is [tex]9.1\times 10^8[/tex].
The SI unit of length is the meter. The unit conversion of the picometer and millimeter to the meter is:
[tex]1\ pm= 10^{-12}\ m\\1\ mm= 10^{-3}\ m[/tex]
Given:
The radius of the niobium atom, [tex]r=131\ pm[/tex]
The length to be covered is [tex](l) =2.40\ mm[/tex]
Convert both magnitudes into meters.
[tex]r=131\times10^{-12}\ m\\l=2.40\times10^{-3}\ m[/tex]
The number of atoms required to cover the length is calculated as:[tex]n=\frac{l}{2\times r}\\=\frac{2.40\times 10^{-3}}{2\times1.31\times10^{-12}}\\=9.6\times10^8[/tex]
Therefore, the number of atoms required to span the given distance is [tex]9.1\times 10^8[/tex].
To know more about unit conversions, click here:
https://brainly.com/question/28600662
#SPJ12
Final answer:
Approximately 9160 niobium atoms, each with a diameter of 262 pm, would need to be laid side by side to span a distance of 2.40 mm.
Explanation:
To determine how many niobium atoms would span a distance of 2.40 mm, we need to convert the length into picometers (pm) since the atomic radius of niobium is given in picometers. First, convert millimeters to picometers:
1 mm = 106 pm
Therefore, 2.40 mm equals 2.40 × 10⁶ pm:
2.40 mm = 2.40 × 10⁶ pm
Next, since the atomic radius of niobium is the distance from the center to the edge of one atom, the diameter of one niobium atom is twice the radius. Therefore, the diameter is 2 × 131 pm = 262 pm.
To find out how many niobium atoms fit into 2.40 mm, divide the total distance in picometers by the diameter of one niobium atom:
Number of Niobium atoms = Total distance (pm) / Diameter of one atom (pm)
Number of Niobium atoms = 2.40 × 10⁶ pm / 262 pm
Finally, calculate the number of niobium atoms:
Number of Niobium atoms = 9160.3
Since we cannot have a fraction of an atom, we round to the nearest whole number, which makes it roughly 9160 niobium atoms that would span 2.40 mm.
What is the mid-atlantic ridge? how many miles does it stretch?
The magnitude of the vectors f~ is 27 n, the force on the right is applied at an angle 58◦ and the the mass of the block is 54 kg. 54 kg f 58 ◦ f if the surface is frictionless, what is the magnitude of the resulting acceleration? answer in units of m/s 2 .
The magnitude of the resulting acceleration is 0.265 m/sec².
What is acceleration?The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is acceleration.
The net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity whose strength or magnitude is determined by the norm and whose direction correlates with a plumb bob.
Given the magnitude of the vectors f~ is 27 n, the force on the right is applied at an angle 58◦ and the the mass of the block is 54 kg. 54 kg f 58 ◦ f if the surface is friction less,
F cos(58) = ma
14.30 = 54.a
a = .265 m/sec²
The magnitude of the resulting acceleration is 0.265 m/sec².
To learn more about acceleration refer to the link:
brainly.com/question/12550364
#SPJ2
The acceleration due to gravity on the surface of Mars is about one third the acceleration due to gravity on Earth’s surface. The weight of a space probe on the surface of Mars is about _____.
Answer:
[tex]\frac{2}{5}[/tex]
Explanation:
Thinking process:
The weight of an object if defined as the gravitational pool on the object. This is the force that pulls an object downward. This is given as follows:
[tex]W = mg[/tex]
where w = weight (gravitational pull)
m = mass of the object (kg)
g = acceleration due to gravity (m/s²)
The acceleration due to gravity on Mars is about 3.924 m/s². This is [tex]\frac{2}{5}[/tex] of the acceleration on the earth.
Therefore, the weight of the object on Mars will weigh 2/5 of what it weighs on earth.
The density of a sample can be obtained by dividing its __________ by its _______________.
An object is suspended from the ceiling with two wires that make an angle of 40° with the ceiling. The weight of the body is 150 N. What is the tension in each wire?
Answer: 117
Explanation:
A mosquito flies toward you with a velocity of 2.4 km/h [E]. If a distance of 35.0 m separates you and the mosquito initially, at what point (distance and time) will the mosquito hit your sunglasses if you are travelling toward the mosquito with a speed of 2.0 m/s and the mosquito is travelling in a straight path?
First convert the speed of mosquito to m/s:
So the mosquito is flying at (2,400/3,600) m/s, or ⅔ m/s.
Since you are moving at 2m/s, so this makes the closing
velocity between you and the mosquito to be 2⅔ m/s.
40 POINTS CORRECT ANSWER
Why does hot air rise and cold air sink?
A ) Cold air has more kinetic energy than hot air.
B ) Hot air has more potential energy than cold air.
C ) Cold air is more dense than hot air.
D ) Hot air is more dense than cold air.
Hot air rises and cold air sinks because Cold air is more dense than hot air. The correct option is (C).
What is density?Density is a physical property of matter that describes how much mass is packed into a given volume of a substance. It is defined as the amount of mass per unit volume of a substance, and it is commonly measured in units of grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³).
The formula for density is:
Density = Mass / Volume
Where:
Density is the density of the substance (in kg/m³ or g/cm³)
Mass is the mass of the substance (in kg or g)
Volume is the volume of the substance (in m³ or cm³)
Here in The Question,
The main reason that hot air rises and cold air sinks is due to differences in their densities. When air is heated, it expands and becomes less dense. Conversely, when air is cooled, it contracts and becomes more dense. This is known as the density-temperature relationship.
Option (A) "Cold air has more kinetic energy than hot air" is not true because the temperature is a measure of the average kinetic energy of the particles in a substance. Hot air has a higher temperature and therefore, more kinetic energy than cold air.
Option (B) "Hot air has more potential energy than cold air" is not true because potential energy is related to an object's position or configuration. Temperature does not have a direct relationship with potential energy.
Option (D) "Hot air is more dense than cold air" is also not true. When air is heated, it expands and becomes less dense. Therefore, hot air is less dense than cold air.
Therefore, the correct option is (C) Cold air is more dense than hot air, which explains why hot air rises and cold air sinks.
To learn more about Archimedes' Principle click:
brainly.com/question/787619
#SPJ2
SELECT ALL THE CORRECT ANSWERS
a strong magnetic field surrounds Earth. How does Earth’s magnetic field help humans?
a. it holds people’s belongings thigh to the Earth’s surface.
b. it’s responsible for cycling water through Earth’s four spheres.
c. it keeps the solar wind from reaching Earth.
d. it helps people navigate using a compass.
e. it helps cool Earths surface.
Earth's magnetic field protects from solar wind, aids navigation with a compass, and creates the Aurora Borealis. the correct options are c & d.
Earth's magnetic field protects humans from harmful solar wind by deflecting most of it, preventing damage to life on Earth. The magnetic field also aids navigation through the use of a compass, guiding people in finding direction accurately.
The Aurora Borealis, or Northern Lights, is an awe-inspiring light display resulting from disturbances within Earth's magnetic field caused by solar storms.
Why must scientists often deal with politics?
Answer:Governments can pass laws about scientific research
Explanation:
1. It is common for people to face divorce, job layoffs, and debt at which of the following stages of life?
a. middle years
b. young adulthood
c. later middle years
d. older years
2. As we proceed on our life course, the events we experience are largerly influenced by
a. our social location and time period in which we were born.
b. our biological makeup
c. the type of groups we associate with when we become adults
d. our early childhood socialization.
The correct choice is (C) later middle years
Explanation:Later middle years is almost 30 to 40 years of a person's life. It is the most critical period of life because every person wants to get a successful life i this stage. We marry in this age and due to certain failures people get divorced too. Some people lose their jobs due to various reasons and many people also suffer from high debts because they want to stabilize themselves by starting a business if they don't get a suitable job.
Answer 2:The correct answer is (C) the type of groups we associate with when we become adults
Explanation:It is better said that a man is known by the company he keeps. So therefore it is a proven fact that all people are mostly influenced by their friends and social circle where they spend most of their time. The life style that we get and the behavior that we show is dependent upon the social circle and family members where we live. Therefore as we move in our lives the events we experience are largely influenced by the type of groups we associate with when we become adults
An inkjet printer's speed is measured in ____. select one:
a. cps
b. pps
c. ppm
d. dpi
An inkjet printer's speed is measured in pages per minute (ppm), which reflects the number of pages the printer can print in one minute.
Explanation:The speed of an inkjet printer is typically measured in pages per minute (ppm). This refers to the number of pages the printer is capable of printing in a single minute. It's important to note that this is an average speed and the actual speed may vary depending on the complexity of the document being printed, the quality settings used, and other factors.
Learn more about Inkjet Printer Speed here:
https://brainly.com/question/33719786
#SPJ6
The speed of an inkjet printer is measured in pages per minute (ppm), not characters per second (cps) or dots per inch (dpi). Thus, the right answer is c. ppm.
Explanation:In the realm of printing technology, the rate at which an inkjet printer can produce output is often denoted by the acronym 'ppm,' which stands for pages per minute. This metric provides a clear indication of the printer's efficiency in generating pages within a specified time frame, making it a widely recognized and practical measure for assessing printer speed.
On the other hand, 'cps,' or characters per second, is a less common unit of measurement and is not typically used to quantify printer speed but rather character-based data transmission or input/output rate in some specific contexts.
Additionally, 'dpi,' which stands for dots per inch, is a distinct and critical measurement parameter related to print resolution rather than speed. It specifies the level of detail and clarity in printed images by quantifying the number of ink or toner dots that can be placed in a linear inch, which is crucial for determining the print quality.
To sum up, when evaluating the swiftness of an inkjet printer's performance, 'ppm' remains the most relevant and widely accepted unit of measurement, while 'cps' and 'dpi' are utilized for different aspects of printer functionality, emphasizing the importance of choosing the appropriate metric for the specific evaluation of printer features.
Learn more about Inkjet Printer Speed here:https://brainly.com/question/33719786
#SPJ6
What is the difference between a foliated and a non-foliated metamorphic rock?
Foliated metamorphic rocks exhibit a layered or banded appearance due to the pressure differential during metamorphism, leading to a preferred orientation of minerals. Non-foliated metamorphic rocks, on the other hand, do not demonstrate this feature as they form under conditions where pressure is exerted equally from all sides or from minerals that don't align in planes.
Explanation:The primary difference between a foliated and a non-foliated metamorphic rock lies in their structure and formation process. Metamorphic rocks undergo a physical and chemical alteration due to high temperature and pressure. This transformation leads to two broad categories: foliated and non-foliated metamorphic rocks.
Foliated metamorphic rocks display a layered or banded appearance that's caused by the pressure differential during the metamorphism process. This causes minerals to be reoriented in the direction of the pressure, producing a foliated structure with parallel alignment of minerals, like in the case of slate and gneiss.
In contrast, non-foliated metamorphic rocks do not have this layered or banded appearance. They are generally formed from minerals that don’t align in planes or have uniform pressure exerted in all directions. Therefore, these rocks such as quartzite and marble, present a massive or granular structure without a preferred orientation of the mineral grains.
Learn more about Foliated and Non-foliated Metamorphic Rocks here:https://brainly.com/question/1984747
#SPJ6
The weight of the space shuttle is about 4.5 million pounds. How many people would it take to move it? Answer in units of people.
Assuming that they are
pulling the space shuttle straight up, and that this is done on the surface of
the earth, where gravity is equal to 9.8 m/s^2. So taking the average pull force
of a person to be 110 kg, then:
110 kg/person * 9.8 m/s^2 = 1078 kg*m/s^2, or 1078 N/person
(Newtons).
1 Newton is about 0.225
lb. So, 1078 N/person * 0.225 lb/N = 242.34 lb/person.
So if the space shuttle weighs 4,500,000 lb, then it would
take 4,500,000 lb / (242.34 lb/person) = 18,569 people.
Answer:
18,569 people
The cubic centimeter, which is often abbreviated as cc or cm3, is the metric unit of what
Answer:
Submultiplo of volume of the international system of units (cubic meter).
Explanation:
The cubic centimer is a submultiple of the unit of measure of volume in the International System of Units, which is the cubic meter.
It corresponds to the volume of a cube of one centimeter side. It is equivalent to one millionth of a cubic meter and also one milliliter.
(i) a force of 35.0 n is required to start a 6.0-kg box moving across a horizontal concrete floor, (a) what is the coefficient of static friction between the box and the floor? (b) if the 35.0-n force continues, the box accelerates at 0.60 m/s2. what is the coefficient of kinetic friction?
a. The force applied would be equal to the frictional force.
F = us Fn
where, F = applied force = 35 N, us = coeff of static friction, Fn = normal force = weight
35 N = us * (6 kg * 9.81 m/s^2)
us = 0.595
b. The force applied would now be the sum of the frictional force and force due to acceleration
F = uk Fn + m a
where, uk = coeff of kinetic friction
35 N = uk * (6 kg * 9.81 m/s^2) + (6kg * 0.60 m/s^2)
uk = 0.533
The coefficient of static friction between the box and the floor is 0.60
The value of coefficient of kinetic friction is 0.061
Given data:
The magnitude of force to start the box is, F = 35.0 N.
The mass of box is, m = 6.0 kg.
The magnitude of acceleration is, [tex]a = 0.60 \;\rm m/s^{2}[/tex].
(a)
The force due to static friction is given as,
[tex]f = \mu mg[/tex]
Here, [tex]\mu[/tex] is the coefficient of static friction.
Solving as,
[tex]35.0= \mu \times 6 \times 9.8\\\mu \approx 0.60[/tex]
Thus, the coefficient of static friction between the box and the floor is 0.60.
(b)
If box accelerates, the frictional force comes to play to oppose the motion. Therefore,
[tex]f = F\\\mu_{k} \times m\times g = ma\\\mu_{k}\times g = a\\\mu_{k}\times 9.8 = 0.60\\\mu_{k} = 0.061[/tex]
Thus, the value of coefficient of kinetic friction is 0.061.
Learn more about the kinetic friction here:
https://brainly.com/app/ask?q=kinetic+friction
A tennis ball, a bowling ball, and a feather are dropped from the top of a tall building at the same time. Consider what you have learned about air resistance. Which object reaches the ground first?
What heat transfer method usually occurs through movement of hot smoke and fire gases?
What is the net force on a bright red mercedes convertible traveling along a straight road at a steady speed of 100 hm/h?
What are possible formulas for impulse? Check all that apply.
Impulse is the variance of the momentum of a thing when the thing is operated upon by a force for an interval of time. Following are the possible formulas for impulse as;
Momentum is product of mass and velocity. According to newton’s second law, F =ma is by putting values of acceleration (a = ( vf - vi ) / t. Therefore, F =( m v ) / t. F t = m v and F t is impulse.
J = Ft
J = mv
J = p
A skipper on a boat notices wave crests passing his anchor chain every 10 s. he estimates the distance between wave crests to be 15 m. he also correctly estimates the speed of the waves. what is this speed?
How many moons does planet Neptune have
Neptune is eighth the farthest planet from the Sun. It is about 2.8 billion miles (4.5 billion km) away. Neptune appears to look blue because of the gas in its atmosphere. Neptune has at least 14 known moons. Triton is Neptune's largest moon. Triton has volcano-like eruptions that burst from openings in the surface.
What is the purpose of strip cropping? a. prevent soil erosion b. maintain nutrient levels c. reduce plant disease d. all of the above
The purpose of strip cropping is to prevent soil erosion.
What is strip cropping?Strip cropping involves cultivating a field partitioned into long, narrow strips following the natural contours of the terrain to prevent wind and water erosion of the soil.
Apart from improving fertility of soil, strip cropping reduces soil erosion. Due to the strip of soil in between the crops, erosion of wind and water is prevented as the strip in between serves as a break in the movement of both water and wind.
What is soil erosion?Soil erosion is a process of movement and transport of the upper layer of soil also called topsoil by different agents particularly water, wind, and mass movement causing its deterioration in the long term.
Soil erosion decreases soil fertility, which can negatively affect crop yields.
The preventive measures should be taken for soil erosion. Some of them are
Plant trees on barren lands to limit erosion of soil.Preventing excessive grazing.Mulch matting can be used to reduce erosion on the slopes.Prevention of deforestation.Thus, Strip cropping method is used when a slope is too steep or too long, or otherwise, when one does not have an alternative method of preventing soil erosion.
To learn more about Strip cropping here
https://brainly.com/question/12542517
#SPJ2
A dart is thrown at some speed v at 45° above the horizontal, with the aim of hitting the bull's eye of a dartboard located 2.5 m away. if the dart leaves the hand of the player at a height located 20 cm below the bull's eye, at what speed v must the dart be thrown?
Final answer:
To hit a target 2.5m away and 20cm above the release point, the dart must be thrown at a speed of approximately 4.95 m/s when launched at a 45° angle. This is derived using projectile motion equations, catering to the horizontal range and maximum height.
Explanation:
To find the initial speed v at which a dart must be thrown at a 45° angle to hit a target 2.5m away, positioned 20cm above the release height, we can use the projectile motion equations. Due to the symmetry of projectile motion at a 45° launch angle, where the horizontal and vertical components of initial velocity are equal, we can solve for v using the formula for the range of a projectile and the formula for the maximum height.
Firstly, assuming no air resistance, the horizontal range R is given by R = v^2 × sin(2°) / g, where g = 9.8 m/s2 is the acceleration due to gravity. At 45°, sin(90°) is 1, thus R = v^2 / g. Setting R = 2.5m gives us the equation to find v.
For the vertical motion, considering the dart must rise 0.20m above the release height, we use the equation y = vy^2 / (2g), where vy is the vertical component of v. Since vy = v × sin(45°), and sin(45°) = sqrt(2)/2, this simplifies the calculation. However, due to the symmetry of the problem, both components contribute equally to achieving the required range and height. Thus, solving the range equation gives us the necessary initial speed directly.
Plugging 2.5m into the range equation R = v^2 / g and solving for v, we find that v = sqrt(R × g). Hence, v = sqrt(2.5 × 9.8), which calculates to approximately 4.95 m/s. Therefore, the dart must be thrown at a speed of roughly 4.95 m/s to hit the bull's eye.
What happens if there is air in the needle?
What did galileo discover in his legendary experiment on the leaning tower of pisa?
Is there a correlation between moonrise and high tide?
What particles are responsible for nearly all the mass of an atom?
a bird flies north with a force of 11N, the air resistance is 2N.show the vectordiagram, with the magnitude and displacement indicated clearly.
This problem involves a bird flying with a force of 11N against an air resistance of 2N. In the vector diagram, the bird's force is represented as an upward arrow of length 11, and the air resistance as a downward arrow of length 2. The net force is 9N, represented by an upward arrow of length 9, which indicates the direction and strength of the bird's motion.
Explanation:In this problem, a bird is flying north with a force of 11N while the air resistance is posing a force of 2N. Given the directions, we should make a vector diagram. A vector is characterized by both magnitude (in this case, the strength of force) and direction. The magnitude is the length of the vector, while the direction shows the way the force is applied.
Let's assume the northward direction is upward. You can represent the bird's motion as an upward arrow of length 11. This represents the 11N force north. The force due to air resistance, being 2N, can be represented as a downward arrow of length 2, indicating it's acting in the opposite direction to the bird's motion.
The net force is the vector sum of these two forces. Since they are in opposite directions, you subtract the smaller from the larger, giving a net force of 9N (11N bird's force - 2N air resistance). This net force can be represented by an upward arrow of length 9, indicating the bird still continues its movement to the north.
The displacement is the distance and direction the bird has moved. This will depend on the time the bird has been flying and is not indicated in the question.
Learn more about Vector diagram here:https://brainly.com/question/34635225
#SPJ12
Explain how newton's first law of motion can be considered to be a consequence of newton's second law.
The variable that the experimenter decides to change to see if there is or is not an effect is the Independent Variable.
True
False