explain the term tenscopo
Answer: Here you go, i hope this kinda helps.
Explanation:Disambiguation is just a fancy way of saying "asking clarifying questions".
Watson Assistant replies to user's questions based on a confidence score.
Sometimes the customer's question could be interpreted in two or three different ways.
For example, if you say you'd like to "book a table for 8", the assistant is able to ask a clarifying question:
Did you mean booking a table for 8PM, 8AM, or booking a table for 8 guests?
Watson Assistant will ask the question when its confidence score is divided between a few options to ensure that your customers get exactly the right service they need.
A bimetallic strip (brass/steel), which is straight at room temperature, will be immersed in boiling water and allowed to equilibrate. I will then remove the strip and quickly place it on a piece of graph paper to measure the deflection of the end, i.e. how far the end is away from the original line, measured perpendicular to the original line.
The bimetallic strip is 222 mm long. The thickness was measured to be 0.036”.
Predict how far the end will deflect, to the nearest half millimeter.
The thermal expansion of the materials allows to find the deflection of the bimetallist strip is Δy = 3.48 cm
given paramers
* Bimetallic brass / steel tape
* Initial temperature, room temperature T = 20ºC
* Final temperature, boiling water = 100ºC
* initial length L₀ = 222mm (1cm / 10mm) = 22.2cm
* thickness of bimetallic tape e = 0.036 inch (2.54 cm/1 inch) = 0.0914 cm
to find
* perpendicular deviation or deflection (Δy)
Thermal expansion is the phenomenon of change in the length of a body due to the change in temperature, due to the increase in the length of the atomic and molecular bonds, macroscopically it is described by
ΔL = α L₀ ΔT
ΔL and ΔT are the variation of the length and temperature respectively, L₀ is the initial length and α the coefficient of expansion ends.
In this case we have a strip formed by two materials with different coefficient of thermal expansion,
Brass α_{brass} = 19 10⁻⁶ ºC⁻¹
Steel α_{steel} = 11 10⁻⁶ ºC⁻¹
In the attached we can see a diagram of the process, as the temperature increases, the material with greater thermal expansion lengthens more, so the system must curve towards the center of the material with less
thermal expansion. Let's find the length of the strip for each material
brass L_{f brass} - L₀ = α_{brass} L₀ ΔT
Steel L_{f steel} - L₀ = \alpha_{steel} L₀ ΔT
Note that the initial length is the same for the two materials and that the strip is in thermal equilibrium at room temperature.
If we assume that we have an arc of circumference, we can write the length of the arc
θ = L / r
where θ is the angle in radines, L the length of the arc and r the radius of curvature, let's write this equation for each material
brass L_{f \ brass} =θ r₁
steel L_{f \ steel} = θ r₂
we substitute in our equations
θ r₁ - L₀ = α_{brass} L₀ ΔT
θ r₂ - L₀ = α_{steel} L₀ ΔT
let's subtract the two equations
θ (r₁- r₂) = L₀ ΔT (α_{brass} - α_{steel})
the thickness of the strip is
e = r₁ -r₂
θ = \(Lo \ \Delta T \ \frac{\alpha_{brass} - \alpha_{steel}}{e}\)
we calculate
θ = \(22.2 \ (100-20) \ \frac{(19-11) \ 10^{-6}}{0.0914}\)
θ = 0.155 rad
Let's use trigonometry to find the perpendicular deflection
tan θ = Δy / L₀
Δy = L₀ tan θ
Δy = 22.2 tan 0.155
Δy = 3.48 cm
Using the thematic expansion of the two materials we find the deflection of the bimetallist strip is 3.38 cm
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You have a friend who wants to do the "Sky is Falling" experiment
like we did in science today! Explain the steps of the experiment so
they can repeat it at home.
Be sure to write the steps in order. (Sequencing)
oInclude an opening sentence, the major steps of the experiment,
and a closing sentence.
Use capital letters at the beginning of each sentence.
oInclude periods at the end of each sentence.
Capitalize I when talking about yourself.
Read your writing out loud before submitting to see if it makes
sense.
Better yet, have someone try the experiment by reading your
The steps of the experiment "Sky is Falling" are listed below:
Generate maps of ozone concentrations, Make a graph of the air quality indices, Propose solutions to problems with the ozone and air quality,What is an Experiment?This refers to the systemic activity that is done in order to make a discovery or to test a hypothesis, usually through the use of the scientific method.
Hence, we can see that the steps to perform the "Sky is Falling" experiment is listed above and they are:
Generate maps of ozone concentrations, Make a graph of the air quality indices, Propose solutions to problems with the ozone and air quality,Read more about experiments here:
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Please help I’m confused on this
Answer:
inversely proportional to
explain why the ray does not bend when it enters the semi circular glass block
The ray does not bend when it enters the semi circular glass block - Light ray incident on semicircular block at 90 degrees, therefore there is no change in the direction of ray at P.
Electromagnetic radiation that falls within the region of the electromagnetic spectrum that the human eye can see is known as light or visible light.
Light is electromagnetic radiation that the human eye can perceive. From radio waves with wavelengths measured in meters to gamma rays with wavelengths shorter than around 1 1011 meters, electromagnetic radiation occurs throughout an incredibly broad range of wavelengths.
Light governs our sleep-wake cycle and is crucial to our health and wellbeing. In actuality, "light" that is visible is a type of radiation, which is just energy that moves in the form of electromagnetic waves. It can alternatively be explained as a flow of "wave-packets," or particles, known as photons.
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A scientist heated a tank containing 50 g of water. The specific heat of water is 4.18 J/gºC. The temperature of the water increased from 25ºC to 37ºC. How much heat energy did the water absorb?
1: 2,508 joules
2: -2,508 joules
3: 5,225 joules
4: 7,733 joules
Answer: a) 2,508
Explanation:
How are magnetic fields like vectors?
Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.
Explanation:
Use the drop-down menus to complete the sentences.
The first step in a bill becoming a law is for the bill to be
.
Next, the bill goes to
to be marked up, dropped, or sent to the floor.
After that, the bill is debated on the floor and can pass on a majority vote of
.
In the next stage, the bill must go to the
to repeat the process.
After the bill is resolved in the
, it goes to the president.
The first step towards a bill becoming a law is for the bill to be introduced in Congress.
Next, the bill goes to a committee to be marked up, dropped, or sent to the floor.
After that, the bill is debated on the floor and can pass with a majority vote of the house that sponsored it.
In the next stage, the bill must go to the other chamber, to repeat the process.
After the bill is resolved in the conference committee, it goes to the president.
What is the Congress?The Congress is sometimes referred to as Senate and it can be defined as a deliberative assembly or council of elected citizens found in the upper chamber or house of a bicameral legislature.
This ultimately implies that, Congress is a federal legislative arm of government of the United States of America, which is saddled with the responsibility of enacting and passing federal laws and bills for the citizens, with the steps enumerated above.
Generally speaking, the first step of making bill to become a law is introducing it to the Congress while the last step is the resolution of a bill if it is voted in favor by at least 44 senators, and then it finally goes to the president for assent through his or her signature.
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Complete Question:
Use the drop down menus to complete the sentences.
The first step in a bill becoming a law is for the bill to be _____.
Next the bill goes to _____ to be marked up, dropped or sent to the floor.
After that, the bill is debated on the floor and can pass on a majority vote of ____.
In the next stage, the bill must go to the ____ to repeat the process.
After the bill is resolved in the ____, it goes to the president.
H H H O H O N C C N C C H O H H O H H C H H H ALANINE GLYCINE
What is the difference between these two amino acids?
a bus with a maximum speed of 20m/s takes 21sec to travel 270m from stop to stop. Its acceleration is twice as great as its deceleration. Find: A, the acceleration B, the distance traveled at maximum speed
Answer:
We can use the kinematic equations to solve this problem.
Let a be the acceleration and d be the distance traveled at maximum speed.
First, we can use the equation:
d = vt + (1/2)at^2
where v is the maximum speed, t is the time traveled at maximum speed, and a is the acceleration.
We know that the bus takes 21 seconds to travel 270 meters, so the time traveled at maximum speed is:
21 - 2a = t
We also know that the acceleration is twice as great as the deceleration, so we can write:
a = 2d
Then, we can substitute these expressions into the first equation:
d = (20)(21 - 2a) + (1/2)(2d)(21 - 2a)^2
Simplifying and solving for d, we get:
d = 210 - 5.25a + 0.25a^2
To find the acceleration, we can use the fact that the maximum speed is reached at the midpoint of the trip, so the distance traveled at maximum speed is half the total distance:
d = 1/2(270)
Solving for d, we get:
d = 135
Substituting this value into the equation for d, we get:
135 = 210 - 5.25a + 0.25a^2
Simplifying and solving for a, we get:
a = 8 m/s^2
Finally, we can use the equation:
d = vt
to find the distance traveled at maximum speed:
d = (20)(21 - 2a)
Substituting the value of a, we get:
d ≈ 188.4 m
Therefore, the acceleration of the bus is 8 m/s^2 and the distance traveled at maximum speed is approximately 188.4 meters.
Developer a model diagram that shows how different amounts of GPE are stored in the earth-ball system when the ball is raised to different heights on the ramp
The ball's gravitational potential energy may be calculated in proportion to the velocity obtained by the ball as it rolls down the ramp.
The following is a model of the ball's GPE;
The height of the ball is related to the square of the velocity attained when rolling down the ramp.h ∝ v²
Which is the method used to obtain the model for the GPE of the ball?The gravitational potential energy, GPE, is given as follows;
GPE = m·g·Δh
Where;
m = The mass of the ball
g = The acceleration due to gravity
Δh = The change in elevation of the ball
The gravitational energy of the ball at the ramp's beginning (lowest) point, when h = 0, is 0
When a modest amount of energy is provided to the ball by moving it slowly, it advances up the ramp for a short distance before stopping.
When more energy is provided to the ball, it moves to a higher position on the ramp.
When energy is given to the ball, it is transformed into gravitational potential energy, and the height of the ball reflects the quantity of gravitational potential energy in the ball.
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Sanjeev noticed his plants were wilting and turned on the sprinklers in his garden. An hour later, he notices that the plant's leaves aren’t wilted any longer. Why did this happen?
A) The xylem stored the water in the stem of the plant, making it more rigid
B) The water flowed out of the vacuole creating turgor pressure in the plant’s cells
C) The plant’s stored energy was activated by the water
D) The water entered the vacuole creating turgor pressure in the plant’s cells
help please ASAP
Answer:
B
Explanation:
Answer:
D
Explanation:
Walking down a pebble beach becomes less painful as you enter the sea. Explain why.
Answer:Since pressure = force/area, the same force on a smaller area means more pressure. When you are walking on sand, the force being applied by your body is spread out over the entire surface of your foot. ... So, more pressure applied on a given area of your foot causes more pain.
Explanation:
Good Question
1. Ignoring air resistance, a 1.4 kg metal can was dropped from an unknown height. Just before it hits the ground, the metal can had a velocity of 3.8 m/s. Find the height the can was dropped from.
Answer:
The can was dropped from a height of 0.74 meters.
Explanation:
We can use the Conservation of Energy to evaluate the height.
The formula for the Conservation of Energy is
\(\frac{1}{2} mv^2=mgh\)
Lets solve for \(h\).
Cancel the common factor of \(m\).
\(\frac{1}{2} v^2=gh\)
Rewrite \(\frac{1}{2} v^2\) as \(\frac{v^2}{2}\) .
\(\frac{v^2}{2}=gh\)
Multiply both sides by 2.
\(v^2=2gh\)
Divide both sides by \(2g\).
\(\frac{v^2}{2g}=h\)
Numerical Evaluation
We are given
\(v=3.8\\g=9.81\)
Substituting our values into our equation for height gives us
\(h=\frac{3.8^2}{2*9.81}\)
Evaluate \(3.8^2\).
\(h=\frac{14.44}{2*9.81}\)
Multiply \(2\) and \(9.81\).
\(h=\frac{14.44}{19.62}\)
\(h=0.736235\)
Note: We also could have solved this using the kinematics equations. Both methods give you the same answer.
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Raju completes one round of a circular track of diameter 200m in 30s. Calculate
a. The distance travelled by Raju
b. The magnitude of displacement travelled by Raju at the end of 30 s.
Explanation:
Given:
Diameter = 200 m
Radius, r = 200/2 = 100 m
Time taken, t = 30 seconds
Formula to be used:
Distance traveled, = circumference of circle = 2πr
Answer:
Putting all the values, we get
Distance traveled = 2πr
Distance traveled = 2 × 22/7 × 100 Distance traveled = 4400/7 Distance traveled = 628.57 mSo, the distance traveled by Raju is 628.57 m.
Now, magnitude of the displacement,
At the end of 30 seconds, Raju will come to starting position or initial position, so displacement is zero.
1. which of the following is the speed of light? 300,000 km/sec 186,283 kilometers per second 186,283 meters per second 186,283 meters per hour 300,000 km/hr
Speed of light, is generally 299,792,458 m/s. The appropriate choice is "186,283 kilometers per second.
The speed of light is approx. 299,792,458 m/s. This is equal to approximately 186,282.397 miles per second or approximately 300,000 kilometers per second.
Therefore, the correct answer is "186,283 kilometers per second" or "300,000 km/sec". The other choices are incorrect because they are not the correct units for the speed of light. Visible light is an example of electromagnetic radiation that moves at the speed of light. Light and other electromagnetic waves appear to move instantly for many practical uses, but their finite speed has dramatic implications for vast distances and particularly sensitive measurements. The starlight that can be seen from Earth has been out there for a very long time, allowing people to view far-off objects and learn about the evolution of the universe. It can take minutes to hours for signals to reach from Earth to a spacecraft when corresponding with far-off space missions. The absolute shortest communication delay between computers, to computer memory, and within a CPU is fixed in computing at the speed of light.
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A person pushing a bin with 45 N of force slides the 3 kg plastic bin on a rough surface with friction. The plastic bin is moving with a constant velocity. What is the net force acting on the box?
Answer:
F = 0
Explanation:
Given that,
Force acting to push a bin = 45 N
Mass of the plastic bin, m = 3 kg
The plastic bin is moving with a constant velocity.
We need to find the net force acting on the box. Constant velocity means the change in velocity is equal to 0. It means acceleration will be 0.
As a result, the force acting on the box is equal to 0.
A man yells across a canyon to his friend who hears the yell 3.25 seconds later. How far away is the man's friend? (speed of sound in air = 343 m/s)
The man's friend is at a distance 552.5 m away.
Speed of sound in air, v = 340 m/s
Time after which the echo is heard, t = 3.25 s
The expression for the total distance covered by the sound in the given time,
d = v x t
d = 340 x 3.25
d = 1105 m
Therefore, the distance where the friend is staying would be half of the total distance covered by the sound during the given time.
So, the distance of the friend from the man,
d' = d/2
d' = 1105/2
d' = 552.5 m
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Mae puts on her new winter scarf. Signals are sent to her brain telling her that the scarf is soft. Which sense provides her brain with this information?
Answer:
Touch
Explanation:
1. Two equally charged particles are held apart when they are released from rest, the initial acceleration of 1st particle is 7.22 m/s^2 and 2nd is 9.16 m/s^2. The mass of the 1st particle is 6.31×10^(-7) kg. Find the mass of 2nd particle and common charge.
The mass of 2nd particle be 4.97×10⁻⁷ kg.
The common charge can not be determined.
What is force?An object's push or pull is seen as exerting a force. The interaction of the objects produces push and pull. You can also use words like stretch and squeeze to describe force.
The definition of force in physics is: The push or pull on a mass-containing item changes its velocity.
Given that: two equally charged particles are held apart when they are released from rest. So force acting on them is same.
For 1st particle:
Mass: m₁ = 6.31×10⁻⁷ kg.
Acceleration: a₁ = 7.22 m/s².
For 2nd particle:
Acceleration: a₂ = 9.16 m/s².
Mass: m₂ = ?
As force acting on both particle is same.
m₁a₁ = m₂a₂
⇒ m₂ = m₁a₁/a₂ = ( 6.31×10⁻⁷ kg)×( 7.22 m/s²)/( 9.16 m/s²) = 4.97×10⁻⁷ kg.
So, the mass of 2nd particle be 4.97×10⁻⁷ kg.
As there has no mention of distance between them and which type of particle it is, common charge can not be determined.
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Seismic waves, known as P – waves, and S – waves can be use to study the earths interior, which otherwise would have be been impossible to explore. Which properties of P Dash and S – waves allow the study of earths interior.
(Multiple choice)
A. They travel at varying speeds, depending on the composition of layer.
B. They deflected while passing through layers of different compositions.
C. They are produced during earthquakes and volcanic eruptions.
D S – waves cannot pass through a layer of liquid composition
The amount of light that enters the pupil is controlled by the:
retina.
lens.
inis.
Answer: The amount of light that enters the pupil is controlled by the Iris
Explanation:
As a truck rounds a curve, a box in the bed of the truck slides to the side farthest from the center of the curve. This movement of the box is a result of
Answer:
inertia
Explanation:
the mass of the box will want to continue on its straight line motion.
As centripetal force on the wheel treads causes the truck to turn, frictional force between the box and truck bed is insufficient to keep the box turning at the same rate that the truck turns, so relative velocity occurs between box and bed until the centripetal force is increased by contact with the truck side wall farthest from the center of curvature.
In a laboratory experiment, a student was exploring the stretch of a spring based on the pull of the force. The student used weights of 1 N, 2 N, 3 N, 4 N, and 5 N. The points were plotted, and the relationship was analyzed. The graph is shown.
A graph titled stretch versus force is shown with stretch on the vertical axis and force on the horizontal axis. The graph is a straight diagonal line from bottom left to top right going through points 0 comma 0, 1 comma 1.0, 2 comma 3.6, 3 comma 5.5, 4 comma 7.2, and 5 comma 9.1.
Which of the following values would be considered an interpolation?
Force = 0 N, stretch = 0 cm
Force = 3 N, stretch = 5.5 cm
Force = 4.4 N, stretch = 7.9 cm
Force = 5.2 N, stretch = 9.3 cm
Interpolation refers to determining a value within an established dataset. In the context of the spring stretch experiment, the value 'Force = 4.4 N, stretch = 7.9 cm' is considered an interpolated value as it falls within the used force range (0N to 5N). The other values are either used in the experiment or extrapolations.
Explanation:In this context, interpolation refers to the process of determining a value within an existing data set or between two known values. In your given data for the spring stretch experiment, the force values used in the experiment range from 0N to 5N. As such, an interpolated value would need to fall within this range.
Given that, the value Force = 4.4 N, stretch = 7.9 cm would be considered an interpolation because it falls within the known values used in the experiment. The rest of the options are either values used in the experiment (0 N, 3 N) or extrapolation (5.2 N) as they are outside of the range of force investigated.
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Considering the values from the experiment, the interpolated value between the known points on the graph is 'Force = 4.4 N, stretch = 7.9 cm', since it falls within the range of given values.
Explanation:In the context of this laboratory experiment, interpolation refers to predicting a value within a range of known values. From the given points plotted on the graph, the values of force range from 0 N to 5 N, and the corresponding stretch ranges from 0 cm to 9.1 cm. Looking at the listed options, the value Force = 4.4 N, stretch = 7.9 cm falls within these known ranges of both force and stretch, thereby qualifying as an interpolation.
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B6. [9 Marks] 30⁰ 20140X20 DE Ofe OTO A stainless-steel orthodontic wire is applied to a tooth as shown in the diagram below. The wire has an unstretched length of 3.1 cm and a diameter of 0.22 mm. If the wire is stretched by 0.10 mm during the procedure, find the magnitude and direction of the force on the tooth. Disregard the width of the tooth and assume Young's modulus for stainless-steel is 18 × 10¹0 Nm-².
The magnitude of the force on the tooth is approximately 0.022 N.
To find the magnitude and direction of the force on the tooth, we can use Hooke's Law, which states that the force exerted on an object is directly proportional to the change in length of a material when it is stretched or compressed.
First, we need to calculate the strain (ε) of the stainless-steel wire.
Strain is defined as the change in length divided by the original length:
ε = ΔL / L₀
Given that the change in length (ΔL) is 0.10 mm \((0.10 \times 10^{-3} m)\) and the unstretched length (L₀) is 3.1 cm \((3.1 \times 10^{-2} m)\), we can calculate the strain:
\(\epsilon=(0.10 \times 10^{-3} m)/(3.1 \times 10^{-2} m)=0.003225\)
Next, we can use Young's modulus (E) to calculate the stress (σ) in the wire.
Stress is defined as the force per unit area:
σ = E * ε
Given that Young's modulus (E) for stainless-steel is 18 × 10¹⁰ N/m², we can calculate the stress:
σ = (18 × 10¹⁰ N/m²) * 0.003225 = 5.805 × 10⁸ N/m²
Now, we can find the force (F) on the tooth by multiplying the stress by the cross-sectional area (A) of the wire:
F = σ * A
The cross-sectional area (A) can be calculated using the formula for the area of a circle:
A = π * (d/2)²
Given that the diameter (d) of the wire is 0.22 mm\((0.22 \times 10^{-3} m)\), we can calculate the cross-sectional area:
\(A = \pi * (0.22 \times 10^-3 m / 2)^{2} = 3.802 \times 10^{-8} m^2\)
Finally, we can calculate the force:
\(F = (5.805 \times 10^{8} N/m^{2}) * (3.802 \times 10^-8 m^{2}) \approx 2.206 \times 10^{-2} N\)
Therefore, the magnitude of the force on the tooth is approximately 0.022 N.
Since the wire is stretched, the force is pulling the tooth in the direction opposite to the stretching.
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Some students are trying to determine whether the radius of a metal sphere affects the amount of charge that it can hold. The students have metal spheres of different radii and known masses that can be attached to a stand by a string, as shown above. The stand is midway between a set of large plates that are connected to a battery to create a nearly uniform electric field in the region between them and near their centers. The students rub a rod with cloth and touch it to each sphere to charge the sphere, and they observe the deflection of the sphere as it is attracted to one plate. They keep adding charge to each sphere until they cannot observe any change in deflection. Which of the following data will give them information that is useful for quantitatively comparing the amount of charge on each sphere?
The number of times they rub the cloth back and forth on the rod
The number of times they touch the rod to the sphere
The string's angle of deflection
The string's angle of deflection is useful for quantitatively comparing the amount of charge on each sphere.
The angles of trajectory that all of your strings take across and behind the nut and saddles of your instrument are, in a nutshell, what is meant by this term. The string's angle, which are located above the headstock, are the downward angles your strings make when they travel through the nut slot, emerge over the fingerboard, and exit the rear edge of the nut to the string wraps on the machine head posts. It is the angle that the string makes at the bridge between your saddle and the spot where the ball end of your string is located.
The string's ability to transfer downward stresses into the guitar is governed by break angles.
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What do you know about the current at different points in a series circuit?
A)it increases the farther it gets from the battery
B)it decreases the farther it gets from the battery
C)it decreases based on the resistance of the devices
D)it is the same at all points in the circuit
Answer:
D
Explanation:
In a series circuit there is only one path for the current to complete the path....so D
Two objects are dropped from a bridge, an interval of 1.0 s apart, and experience no appreciable air resistance. As time progresses, the DIFFERENCE in their speeds
a.
increases.
b.
remains constant.
c.
decreases.
d.
increases at first, but then stays constant.
e.
decreases at first, but then stays constant.
Answer: a
Explanation:
Drag the tiles to the correct boxes to complete the pairs
Match the particles with their characteristics.
subatomic particles with a positive charge
subatomic particles with a negative charge
subatomic particles with no charge
made of atoms
neutrons
electrons
protons
malaria
Answer:
1. Protons.
2. Electrons.
3. Neutrons.
4. Molecules.
Explanation:
1. Protons: subatomic particles with a positive charge. They are bound together in the nucleus of an atom due to strong nuclear forces.
2. Electrons: subatomic particles with a negative charge. Electrons can be defined as subatomic particles that are negatively charged and as such has a magnitude of -1.
3. Neutrons: subatomic particles with no charge. The negative charge of the electrons cancels the positive charge of the protons.
4. Molecules: they are made of atoms.
Generally, molecules attach on the inside of a mineral to give it shape. Therefore, the molecule of a mineral is a crystal three-dimensional regular structure (arrangement) of chemical particles that are bonded together and determines its shape.
Due to the fact that these molecules are structurally arranged or ordered and are repeated by different symmetrical and translational operations they determine the shape of minerals.
A spring stretches 0.294-m when a 0.360-kg mass is gently suspended from it as in Fig. 11–3b. The spring is then set up horizontally with the 0.431-kg mass resting on a frictionless table as in Fig. 11–5. The mass is pulled so that the spring is stretched 0.250-m from the equilibrium point, and released from rest.
Determine:
(a) the spring stiffness constant k.
The spring constant k based on the information is 12.0 N/m.
How to calculate the valueFrom the information, a spring stretches 0.294-m when a 0.360-kg mass is gently suspended from it as in Fig. 11–3b. The spring is then set up horizontally with the 0.431-kg mass resting on a frictionless table.
The spring constant k is the force required to stretch or compress the spring by a unit distance. In this case, the spring is stretched by 0.294 m when a 0.360 kg mass is suspended from it.
This means that the force exerted by the spring is equal to the weight of the mass, which is 0.360 kg x 9.8 m/s^2 = 3.53 N.
Therefore, the spring constant k is:
= 3.53 N/0.294 m
= 12.0 N/m.
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