The objective lens used to determine the 3-dimensional shape of a specimen would depend on the type of imaging technique being used.
What is objective lens ?In general, the objective lens used would be one that is capable of providing high resolution and high contrast images in order to clearly distinguish the different features and structures of the specimen. Additionally, the objective lens should be matched to the type of imaging technique being used, as different techniques have different requirements for resolution, contrast, and depth of field.
For example, if using a scanning electron microscope (SEM), a high-resolution, high-magnification objective lens would be used to capture detailed images of the specimen's surface. On the other hand, if using a confocal laser scanning microscope (CLSM), a high numerical aperture (NA) objective lens would be used to capture images of the specimen in 3D by selectively illuminating and detecting fluorescence from specific depths within the specimen.
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by what multiplicative factor rk does the initial kinetic energy increase, and by what multiplicative factor rw does the work done by the force increase (with respect to the case when the particle had a mass m )? if one of the quantities doubles, for instance, it would increase by a factor of 2. if a quantity stays the same, then the multiplicative factor would be 1. you should enter the two factors separated by a comma.
The multiplicative factor rk for the initial kinetic energy is 2, as the kinetic energy doubles when the mass doubles.
What is kinetic energy?Kinetic energy is the energy possessed by an object due to its motion. It is equal to the work done to accelerate the object from rest to its current velocity. Kinetic energy is associated with the motion of an object and is measured in joules (J). Kinetic energy is one of the most important forms of energy, as it is involved in many physical and chemical processes. Kinetic energy is also related to velocity, and can be calculated using the formula KE = ½ mv2, where m is the mass of the object and v is its velocity.
The multiplicative factor rw for the work done by the force is 1, as the work done by the force does not change when the mass of the particle changes.
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HELP PLEASE What is the M.A. (Mechanical Advantage) of a screwdriver with a radius from the center to the outermost edge of the tip of 50.0 mm, and the radius of the handle of 240 mm? Remember that there are 1000.0 mm in 1.0000 m, and while solving the problem show your work of course.
Answer:
The Mechanical Advantage (MA) of a tool is the ratio of the output force to the input force. In the case of a screwdriver, the output force is the force applied to the tip of the screwdriver, and the input force is the force applied to the handle.
To calculate the MA of the screwdriver, we need to use the following formula:
MA = Output Force / Input Force = (Distance from the center to the outermost edge of the tip) / (Distance from the center to the outermost edge of the handle)
The radius from the center to the outermost edge of the tip of the screwdriver is 50.0 mm and the radius of the handle is 240 mm. To find the distance, we need to double the radius.
Distance from the center to the outermost edge of the tip = 2 * 50.0 mm = 100.0 mm
Distance from the center to the outermost edge of the handle = 2 * 240 mm = 480.0 mm
Now we can use the formula to calculate the MA:
MA = 100.0 mm / 480.0 mm = 0.208333
So the MA of the screwdriver is 0.208333. This means that for every 1 N of force applied to the handle, the tip of the screwdriver will exert 0.208333 N of force on the screw.
Explanation:
under what conditions can an object be treated as a particle? (note that some quiz questions have multiple correct answer. the check box is square instead of round on these questions.) select one or more: a. object must be able to be treated as round b. forces on object must be concurrent c. object must not deform under the forces d. object must not change shape e. object must not be large f. object must not rotate
Forces on object must be concurrent. Object must not deform under the forces. Object must not change shape. Object must not be large. Object must not rotate.
What is force?Force is a physical quantity that represents the interaction between two objects. Force can cause an object to accelerate or change its velocity. It can also cause a change in an object's shape or orientation. There are several types of force, such as gravitational force, electromagnetic force, and nuclear force.
An object can be treated as a particle under the following conditions:
Forces on object must be concurrent. Object must not deform under the forces. Object must not change shape. Object must not be large. Object must not rotate.
It's important to note that the concept of treating an object as a particle is a simplifying assumption used in some branches of physics, such as mechanics, and is only valid under certain conditions.
When an object is treated as a particle, it is assumed to have no internal structure, and that all forces acting on it act at a single point. The object is also assumed to be small enough that its deformation or shape change under forces can be ignored. Additionally, it is also assumed that the object does not rotate.
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. the resultant of two forces acting at a point at right angles to each other is 40 pounds. if one of the forces is 30 pounds, what is the other force and what angles does it make with the resultant force?
The resultant force will be 50pound .
A force is an influence that has the power to alter an object's motion. A force can cause an object with mass to accelerate when it changes its velocity, for as when it moves away from rest. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N).
We are given that,
F₁ = 40pound
F₂ = 30 pound
Fr = ?
The square root of the sum of the squares of the two forces can be used to determine the resultant of the two forces as follows,
Fr = √F²₁ + F²₂
Putting the value in above equation ,
Fr = √40² + 30²
Fr = √1600 + 900
Fr = 50pound
Therefore , the resultant force would be 50pounds.
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2. A body in motion has velocity of 5i +2j-3k and it is acted upon by a constant force of 4i +3j-2k compute the instantaneous power and the angle between the force and velocity
In order to calculate the instantaneous power, we can use the dot product of the force vector and the velocity vector. The dot product is defined as:
F·V = (4i + 3j - 2k)·(5i + 2j - 3k) = (45) + (32) + (-2*-3) = 20 + 6 - 6 = 20
So the instantaneous power is 20.
To calculate the angle between the force and velocity vectors, we can use the formula:
cos(θ) = (F·V) / (||F|| * ||V||)
where θ is the angle between the vectors, F is the force vector, V is the velocity vector, and ||F|| and ||V|| are the magnitudes of the force and velocity vectors.
First, we need to find the magnitudes:
||F|| = sqrt(4^2 + 3^2 + (-2)^2) = 5
||V|| = sqrt(5^2 + 2^2 + (-3)^2) = sqrt(29)
So we can now calculate the angle:
cos(θ) = (20) / (5 * sqrt(29))
We can get the angle by using the inverse cosine function (arccos)
angle = arccos(cos(θ))
Note that the angle is in radians, if you want to get the angle in degrees, you can use the conversion factor of 180/π.
An airplane passenger carries a 215-n suitcase up the stairs, a
displacement of 4.20 m vertically and 4.60 m horizontally.
a) how much work does the passenger do on the suitcase?
b) the same carries the same suitcase back down the same set of stairs. how much work does the passenger do on the suitcase to carry it down the stairs?
b) Work = force x displacement = 215 N x (-4.60 m) = -992.5 J. the same carries the same suitcase back down the same set of stairs. how much work does the passenger do on the suitcase to carry it down the stairs.
what is work ?
Work is an activity that involves physical or mental effort undertaken in order to achieve a result. It is usually done in exchange for money, but can also be done out of necessity or for pleasure. Work is often seen as an important part of life and it can come in many different forms, ranging from manual labour to professional and creative work.
Work can be rewarding and provide a sense of purpose and achievement for those who engage in it. It can also be a source of stress, especially when it is not well-suited to an individual’s skills or needs. The type of work an individual does can vary depending on their skills, interests, and resources. Working can help to build relationships, develop skills, and provide financial security.
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a force of magnitude acts on a particle during a time interval in which the displacement through a distance of the particle is exactly perpendicular () to the direction of the force. under these conditions the work done by the force will be:
Work done by a force will be the force is in the direction of displacement determined as Force × Displacement in the direction of force.
What does the force on the object do in terms of work?W = Fd is the formula for the amount of work W that a constant force does on an object. It is determined by dividing the force's intensity by the distance the body travels in the force's direction.
What is a distance's displacement?Displacement is simply the distance between an object's starting point and its final location, whereas distance is the length of an object's path. When measured along the shortest path between any two points, displacement is indeed the direct distance between them.
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Of the blocks listed below, which combination of materials will have the highest resistance to sliding?block Weight FrictionA 150lb 30lbB 20N 5NC 1,800lb 60lb
The higher the weight, the greater the static friction force, and the higher the resistance to sliding. Therefore, the combination with the highest resistance to sliding is C) 1,800lb 60lb.
What is static friction force?Static friction force is the force that resists two objects from moving relative to each other. It is the force that is generated when two objects are in contact with each other and in a stationary state. This force is also referred to as the static coefficient of friction. It is a force that is always present between two surfaces when they are in contact. The magnitude of this force is dependent upon the nature of the surfaces and the amount of force applied to the surfaces. The magnitude of static friction force is usually greater than the kinetic friction force. Therefore, it is necessary to overcome static friction in order to initiate movement between two objects.
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Complete Question:
Of the blocks listed below, which combination of materials will have the highest resistance to sliding?block Weight Friction
A) 150lb 30lb
B) 20N 5N
C) 1,800lb 60lb.
D) non of these
An electric car of mass 1000kg uses twenty five 12v batteries connected together to create a p.d. of 300V. The car accelerates from rest to a speed of 30ms^-1 in 12 seconds.
a) what is the final kinetic energy of the car?
b) what is the power of the car?
c) How much electrical current flows from the battery?
What assumptions have you made in calculating a) to c)?
Answer:
Explanation:
a) The final kinetic energy of the car is equal to the work done in accelerating the car from rest to a speed of 30ms^-1. Therefore, the final kinetic energy of the car is equal to:
KE = ½ mv^2 = ½(1000kg)(30ms^-1)^2 = 450,000 J
b) The power of the car can be calculated by dividing the work done by the time taken for the acceleration. Therefore, the power of the car is equal to:
Power = Work/Time = 450,000 J/12s = 37,500 W
c) The electrical current flowing from the battery can be calculated by dividing the power by the voltage of the battery. Therefore, the electrical current flowing from the battery is equal to:
Current = Power/Voltage = 37,500 W/300V = 125 A
Assumptions:
1. The car is assumed to be moving in a straight line with no friction.
2. The batteries are assumed to be wired correctly and in good condition.
3. The car is assumed to have a constant acceleration over the 12s period.
4. The voltage of the battery is assumed to remain constant over the 12s period.
A farsighted person has a near point of 72 cm rather than the normal 25 cm. What strength lens, in diopters, should be prescribed to correct this vision problem?
The strength lens to be prescribed to correct this vision problem is 2.61 diopters.
Near point = 72cm
Normal point = 25cm
Using the lens formula -
1/f = 1/u + 1/v
where
f is the focal length
v is the image distance
u is the object distance
Substituting the values in the formula -
1/f = 1/25 + 1/(-72)
1/f = 0.0261
f = 1/0.0261
Therefore,
f = 38.31
f = 0.383m
Now, since the dioptric power is inverse of the focal length strength;
Therefore,
D = 1/f
= 1/ 0.383
= 2.61
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What frequency does a photon of wavelength 4.5×[tex]10^{-4}[/tex]m have?
A.1.35×[tex]10^{5}[/tex] Hz
B.2.98×[tex]10^{-37}[/tex] Hz
C.1.47×[tex]10^{-30}[/tex] Hz
D.6.67×[tex]10^{11}[/tex] Hz
Answer:
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A car of mass 1500 kg, travelling at a steady speed, has a kinetic energy of 200 kj. what is the speed of the car?
The speed of the car is 16.32 m/s, when the mass of the car is 1500kg and the kinetic energy is 200kj.
What is kinetic energy?The energy of motion is known as kinetic energy, and it is manifested in the motion of objects and subatomic particles. Every particle and moving object contains kinetic energy. When something moves, such as when someone walks, a baseball soars, a piece of food falls off a table, or a charged particle moves in an electric field, kinetic energy is clearly visible. The kinetic energy of stationary objects is zero.
The potential energy of objects that aren't moving (the other main type of energy). Potential energy becomes kinetic energy when an object is propelled into motion by a force, such as gravity. For instance, a stretched rubber band stores elastic potential energy, which, upon release, is converted into kinetic energy.
The formula for kinetic energy is
K.E. = 1/2m × v²
200(1000j) = 1/2(1500) × v²
200000 = 750 × v²
v² = 200000/750
v² = 266. 6
v = √266. 6
v = 16.32 m/s
Thus, the speed of the car is 16.32 m/s
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Which cools at the faster rate, a pot of boiling/hot water left at room temperature? Or a same-size pot of lukewarm water left at room temperature?
Please explain why though? I know it is the boiling water, but why? Shouldn't it be the lukewarm water?
Answer:
The pot of boiling/hot water will cool at a faster rate than the same-size pot of lukewarm water left at room temperature. This is because the boiling/hot water has more energy than the lukewarm water and is thus more likely to transfer energy to its surroundings. When energy is transferred, the temperature of the pot of boiling/hot water will decrease, while the temperature of the lukewarm water will remain relatively unchanged. This transfer of energy is called conduction, and it is the process by which heat is transferred from one object to another.
Explanation:
see above
Two bumper cars are driven toward each other. The initial momentum of bumper car 1 is 250. 0 kg and the initial momentum of bumper car 2 is –320. 0 kg. M/s. After the cars collide, the final momentum. Of bumper car 1 is –311 kg. M/s
What is the magnitude of the final momentum of bumper car 2?
Your answer should have three significant figures.
The final momentum of bumper car 2 is -241.0 kgm/s.
The magnitude of the final momentum of bumper car 2 can be found using the conservation of momentum principle, which states that the total momentum of a closed system remains constant before and after a collision.
To calculate the final momentum of bumper car 2, we can use the following equation:
initial momentum of system = final momentum of system
250.0 + (-320.0) = (-311.0) + final momentum of bumper car 2
-70.0 = (-311.0) + final momentum of bumper car 2
final momentum of bumper car 2 = -241.0 kgm/s
The final momentum of bumper car 2 is -241.0 kgm/s.
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can you write the steps of how we can answer this qustion
Answer:
5 sec
Explanation:
[tex]99 \div 21.8 [/tex]
When laser light of wavelength 632.8 nm passes through a diffraction grating, the first bright spots occur at +/1 17.8 degrees from the central maximum.
(a) What is the line density (in lines/cm) of this grating?
(b) How many additional pares of bright spots are there beyond the first bright spots?
(a) The line density of the given grating is calculated to be 4831 lines / cm.
(b) There are two additional pares of bright spots beyond the first bright spot. θ₂ = 37.7° and θ₃ = 66.5°
(a) Given that,
λ = 632.8 nm = 632.8 × 10⁻⁹ m
θ₁ = ± 17.8
We know that the brilliant fringes' angle is determined by,
sin θ = mλ/d
For first bright fringe, m = ± 1
sin θ₁ = λ/d ----(1)
Line density of this grating is given by, N = 1/d ----(2)
Making d as subject in (1), we have,
d = λ/ sin θ₁ ----(3)
Putting (3) in (2), we have,
N = sin θ₁/ λ = sin 17.8/(632.8 × 10⁻⁹) = 4.831 × 10⁵ line/m = (4.831 × 10⁵ lines/ 1m) × (1 m/100 cm) = 4831 lines / cm
(b) We know, d sin θ = m λ
So, d = m λ/sin θ = (632.8 × 10⁻⁹/sin 17.8) = 2067.4 × 10⁻⁹ m
Line density = 10⁻² / (2067.4 × 10⁻⁹) = 4830 lines/cm
To get additional bright spots, we take the condition sin θm < 1 which gives,
sin θ₂ = 2 sin θ₁ = 2× 0.3056 = 0.62
θ₂ = 37.7°
sin θ₃ = 3 sin θ₁ = 3 × 0.31 = 0.93
θ₃ = 66.5°
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Problem 5: A car and a dump truck are involved in an accident and crash into each other.
Assuming the only force acting is the force of collision, which one experiences the most force during the crash - the car or the dump truck? Multiple Choice 1) It depends on which one is moving faster. 2) The dump truck. 3) The car. 4) It depends on the angle of their collision 5) They experience the same size force.
5) They experience the same size force. Both car and dump truck will experience the force of same magnitude. But, change in acceleration is greater for smaller car.
What is collision?Collision is when two or more objects collide with each other, either directly or indirectly. In physics, collision is defined as the interaction between two or more bodies, where the total kinetic energy of the two bodies before the collision is greater than the total kinetic energy of the two bodies after the collision.
Collisions can involve two or more objects and can be elastic or inelastic. Elastic collisions involve objects that bounce off of each other and inelastic collisions involve objects that stick together after the collision. Collisions can also involve two or more particles, where the particles interact and exchange energy, momentum and angular momentum.
Both car and dump truck will experience the force of same magnitude. But, change in acceleration is greater for smaller car.
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the density of gold is 19.3 g/cm3. what is the mass of a cube of gold that is 2.50 cm long on each edge?
It is possible to measure a material's density by how closely it is packed. The mass per unit volume is how it is formally defined.
Examples of dense materials include iron, platinum, and lead. Dense material can be found in many different rock and mineral kinds. The relationship between a substance's mass and volume is what is referred to as its density. kilograms per cubic metre (kg/m3) is used to measure density in the SI system.
density = mass/ volume
rearranging formula we get
mass = density / volume
From the question
side of cube of gold = 2.50 g
volume of cube of gold = (2.50)³
Density = 19.3 g/cm³
Fill in the variables in the formula above to find the mass.
Mass is equal to 19.3 / (2.50)3 = 48.25.
Consequently, the gold cube's weight is 48.25 g.
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i need help plssssssss
The object with the greatest inertia is 8 kg bowling ball.
option A is the correct answer.
What is Newton's first law of motion?Newton's first law of motion states that a body at rest or uniform motion in a straight line will continue in that form unless it is acted upon by an external force.
Newton's first law of motion is also called the law of inertia because it depends on the mass of the object.
The inertia of a body or an object is the measure of the reluctance of the body or object to start moving when it is at rest or to to stop moving when it is in motion.
The inertia of an object depends on the mass of the object, thus the greater the mass of an object the greater the inertia of the object and vice versa.
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Ultrasound waves are used to measure blood- flow speeds. Suppose a device emits sound at 500 kHz, and the speed of sound in human tissue is taken to be 1540 m/s. What is the expected beat frequency if blood is flowing normally in large leg arter- ies at 2.0 cm/ s directly away from the sound source? How can you connect this analogue to the radars for example?
Since the relative velocity of the sound source and the blood flow is zero, the beat frequency is zero.
How to solve this problem?The expected beat frequency can be calculated using the Doppler shift formula, which states that the beat frequency (f) is equal to the difference between the emitted frequency (f0) and the received frequency (f) multiplied by the speed of sound in the medium (c) divided by the relative velocity of the blood flow (v) and the sound source.
f = (f0 - f) * c / (v + c)
Plugging in the given values:
f = (500 kHz - 500 kHz) * 1540 m/s / (2.0 cm/s + 1540 m/s)
f = 0 Hz
Since the relative velocity of the sound source and the blood flow is zero, the beat frequency is zero.
bund waves are similar to radar waves in that they both use sound waves to measure the distance and speed of objects. However, radar uses radio waves instead of sound waves, and it is typically used for detecting objects at a greater distance and at a higher speed than ultrasound.
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Consider the circuit shown in (Figure 1). Assume 1 =0.92 A. Part A What is the value of resistor R? Express your answer with the appropriate units. % R = Value Figure 1 of 1 Submit Previous Answers Request Answer 2.00 A Incorrect; Try Again; 2 attempts remaining Provide Feedback 10 15 Q
The maximum Current is 19.57 ohm, as mentioned inside the paragraph preceding.
What is a definition of a circuit simple?A circuit in electronics is a totally circular path that electricity passes through. A current source, wires, and a load are the components of a basic circuit. Any ongoing channel for the conveyance of energy, info, or a signal is referred to as a "circuit" in a wide sense.
Voltage across the left 10 ohm resistance is V = IR = 0.92A * 10 ohm = 9.2 V
Thus this is the voltage across the 15 ohm and R
Therefore the current in the 15 ohm = 9.2/15 = 0.61 A
Kirchoff's current law states that current in = current out
So, from the 10 ohm & 15 ohm resistors, 2A is entering, while 0.92 + 0.61 are exiting.
Let current from R resistance is I₁
So, 2A = 0.92 + 0.61 + I₁
I₁ = 0.47A
For Resistance R,
V = I₁R
R = V/I₁ = 9.2/0.47
R = 19.57 ohm
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your first response to reduced visibility should be: select one: a. looking for road edge markings to guide you. b. reducing your speed. c. turning on your windshield wipers. d. turning on your headlights.
Your first response to reduced visibility should be reducing your speed.
What does getting visible entail?The term "visibility" refers to how far or well you are seeing in a certain meteorological scenario. Poor visibility prevailed. 2. a noncount noun When something is said to be visible, such as a situation or an issue, it refers to how much it is observed or observed by other people.
What, for instance, does visibility mean?Visibility can indicate both "how well you can see" and "how well others will see something." Your running leggings' reflective stripes make you visible in the dark as they make you more visible to others.
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an astronomer observes the light of a galaxy that is 600 million light-years away. how old is the light?
"An astronomer observes the light of a galaxy that is 600 million light-years away. The age of light is 18.92 × 10¹⁵ s."
Given that,
Distance to the galaxy = 600 million light years = 600× 10⁶ light years = 6×10⁸ light years
We know the speed of light as, c = 3 × 10⁸ m/s
The relation between distance, speed and time is known to be,
Distance = Speed × Time
So, to know the age of time, let us make time as subject,
Time = Distance/Speed
1 light year = 9.46 × 10¹⁵ m
Putting in the above values,
Time = (6×10⁸ × 9.46 × 10¹⁵)/(3 × 10⁸) = 18.92 × 10¹⁵ s
Thus, the age of light is 18.92 × 10¹⁵ s.
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What are the effects of warm temperature on gas particles
Answer:
They move and collide faster.
Explanation:
This is because increasing the temperature increases the kinetic energy of the gas particles. As a result they move rapidly having more more frequent collisions.
Answer:
When the temperature of the container increases, the kinetic energy of the gas molecule becomes high.
Explanation:
This means the collision rate of the particles increases. Due to the collision of gas particles, the pressure increases across the wall of the container.
Calculate the gallons of gasoline needed to drive an equivalent distance of 7 trips between the Earth and its moon (1 trip = 239,000 miles). You will only type in the number for your result in scientific notation here (no units).
The the number of gallons needed for the trip will be 83.72 gallons.
What is scientific notation?Scientific notation is a method of displaying very large or very small numbers in a more simplified format. We know that entire numbers can be extended indefinitely, but such large numbers cannot be written on a piece of paper. Furthermore, the numbers in the millions place after the decimal required to be represented in a simpler format.
As a result, representing a few integers in their expanded form is challenging. As a result, we employ scientific notation. In this case, the gallons needed to travel is 1 gallon per 20000 miles.
The equivalent distance of 7 trips between the Earth and its moon will be:.
= 7 × 239,000 miles
= 1674400 miles
Since 1 gallon per 20000 miles,the number of gallons needed will be:
= 1674400 / 20000
= 83.72 gallons.
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Complete questions
The gallons needed to travel is 1 gallon per 20000 miles. Calculate the gallons of gasoline needed to drive an equivalent distance of 7 trips between the Earth and its moon (1 trip = 239,000 miles). You will only type in the number for your result in scientific notation here (no units).
Arianna lives in a neighborhood where gang members hang out to sell drugs. Shootings occur on a regular basis, usually caused by gang members targeting each other; but sometimes the shootings affect bystanders. When she is 15, Arianna begins to date a 17-year-old gang member, although her parents disapprove. She often sneaks out of her home late at night to meet him in the street.
Identify three of Arianna’s risk factors for an injury from gun violence. Identify whether each risk factor is behavioral, environmental, or genetic. Is each risk factor modifiable or nonmodifiable?
The risk factors which are associated with dating a gang member include severe issues such as drug addiction and disorders like depression and anxiety. This could be avoided by maintaining a healthy relationship with the parents and partners.
What are risk factors of dating a gang member?The risk factors which are associated with dating a gang member include many problems and disorders. Problems could be major such as drug addiction, trafficking, etc. The constant problems could lead to depression and anxiety in an individual which could be life-threatening if remains untreated for a long time.
The ways in which these risk factors could be minimized and Arianna could be saved from dating a gang member include cumulative protection across domains, cumulative protection in the family domain, educational aspirations and self-esteem in the individual domain, and parental supervision and parent/partner status in the family domain.
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4. make a prediction: if you were to chop this magnet in half, what would be the polarity of each piece? why?
This magnet may be divided in half to create two separate magnets, each featuring their own arrays of northern and southern magnetic poles. This is due to the absence of magnetic monopoles in nature.
What is magnet, exactly?Any substance that can draw iron and create a magnetic field around itself is a magnet. All known elements and several compounds had been investigated for magnetism by the end of 19th century, and it was discovered that every one of them has some sort of magnetic characteristic.
This demonstrates that magnetic monopoles cannot be created from a bar magnet. It is impossible for a bar to be split in two in order that one half possesses the magnetic north pole and the other the magnetic south pole. Instead, the east and west poles of each magnet will be unique.
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reen light is 550 nm (0.00000055 meters), and light moves at 299,792,458 m/s, what is the frequency of the green light?
The frequency of the green light is approximately 5.45×10¹⁴ Hz, for wavelength 550nm.
What is frequency?Frequency is the dimension of the number of times that a repeated event occurs per unit of time.
The frequency of wave-like patterns including sound, electromagnetic waves (similar as radio or light), electrical signals, or other swells, expresses the number of cycles of the repetitious waveform per second.
In SI unit is 1 Hz means one cycle (or wave) per second.
The frequency of a wave can be calculated by using the equation:
frequency (f) = velocity (v) / wavelength (λ)
In the case of green light, the velocity is given as 299,792,458 m/s and the wavelength is given as 550 nm (0.00000055 meters). upon placing the values in the equation,
f = 299,792,458 m/s / 0.00000055 m
To get the frequency of the green light in hertz (Hz), which is the unit of frequency in the International System of Units (SI).
f = 5.454545454545454545454545454545e+14 Hz
So, the frequency of the green light will be approximately 5.45×10¹⁴ Hz.
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a single electron orbits a lithium nucleus that contains three protons ( 3e). the radius of the orbit is 1.76 10-11 m. determine the kinetic energy of the electron.
The kinetic energy of the electron orbits a lithium nucleus that contains three protons ( 3e) whose radius of the orbit is 1.76x10-11 m is 123eV.
Given the lithium nucleus contains 3 protons also 3 electrons
The radius of orbit (r) = 1.76x10-11 m
We know the resultant force acting on the nucleus is F.
F = k x q(nu) x q(e)/r^2 = k x (3e) x(e) /r^2 = 3ke^2/r^2
This force is equal to centripetal force = mv^2/r where m is mass of electron, v is velocity
Then 3ke^2/r^2 = mv^2/r
3ke^2/r = mv^2
The kinetic energy is taken as (KE) = 1/2mv^2 = 3ke^2/2r
Here k = 8.99 x 10^9 Nm^2/C^2 and the charge on electron
(e) = 1.6 x 10^-19C
Then KE = 3 x 8.99 x 10^9 x ( 1.6 x 10^-19)^2 / 2 x 1.76x10-11
KE = 1.96 x 10^-17J = 122.6eV
Hence the required kinetic energy of the electron is 123eV.
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In this experiment, optical density is measured using a _______.
spectrophotometer
thermocycler
microscope
caliper
Using a spectrophotometer, optical density is determined in the experiment.
Describe optical density.The optical density of a transparent material is a measure of how quickly light passes through the material. The degree to which any optically dense medium bends transmitted light rays toward or away from the norm is known as its optical density.
High optical density: What does that mean?The slower the wave moves through the material, the higher the optical density. By examining the material's refractive index, one can establish its optical density. How much slower a light wave would flow through the medium in comparison to how quickly it would go through vacuum is represented by the dimensionless refractive index value.
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