Mike is swinging from a vine. The net force on Mike will be vertical upward at the bottom of the swing.
What is meant by centripetal force?A centripetal force is a force that causes a body to move in a curved path. Its direction is always orthogonal to the motion of the body and towards the fixed point of the path's instantaneous center of curvature.
Mike is on a swing, which means he must take a circle course. In a circular motion, centripetal force acts towards the motion's center, allowing it to travel in that direction.
As a result, the net force at each point on the circular part will be towards the center. The direction of net force will be vertical upward at the bottom position.
Therefore, the net force on Mike will be vertical upward at the bottom of the swing
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two pole-vaulters just clear the bar at the same height. the first lands at a speed of 7.41 m/s, while the second lands at a speed of 7.71 m/s. the first vaulter clears the bar at a speed of 0.749 m/s. ignore air resistance and friction and determine the speed at which the second vaulter clears the bar.
The second vaulter clears the bar at speed of 7.43 m/s.
Velocity is the directional speed of an item in motion as an indication of its price of change in role as located from a particular body of reference and as measured by a specific general of the time.
The velocity of the first vaulter at jump v1 = 7.50 m/s
Horizontal component of v1 v1x = v1 * cos ?1
1.00 = 7.50 * cos ?1
?1 = cos-1 (1.00 / 7.50
= 82.340
Hence vertical component v1y = v1 * sin ?1
= 7.5 * sin 82.340
= 7.43 m/s
Since both vaulters rise to the same height, their initial vertical velocity is the same. i.e.
v2y = v1y = 7.43 m/s
then v2y = v2 * sin ?2
?2 = sin-1 (7.43 / 7.70)
given v2 = 7.70 m/s
= 74.780
Hence velocity of the second vaulter as he clears the bar v2x = v2 * cos ? 2
= 7.70 * cos 74.780
= 2.02 m/s
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Based on the marble and the steel ball bearing, what happens to the kinetic energy of an object when the mass is cut in half?.
The kinetic energy of an object will be halved when the mass is cut in half.
What is kinetic energy?Kinetic energy may be described as the energy that an object possesses due to its motion. It is defined as the work required to accelerate a body of specified mass from rest to a specified velocity. After the body acquires this energy during acceleration, it retains this kinetic energy as long as the velocity does not change.
Kinetic energy (KE) is the energy that moves matter. Everything that moves has kinetic energy. The amount of kinetic energy of a moving object is directly related to its mass and velocity.
KE = 1/2 mass × velocity²
For the given question:
Since,
KE = ¹/₂ mv²
If mass is cut in half i.e m/2, then the KE will be:
KE = ¹/₂ m/2 v²
KE = ¹/₄ mv²
KE = ¹/₂ (¹/₂ m/2 v²)
This indicates that kinetic energy is halved as the mass is cut in half.
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what its average distance (semimajor axis) from the sun?
The dwarf planet Eris orbits the Sun every 557 years. The average distance (semimajor axis) from the Sun is 67.7 a.u.
A line segment that passes through the center and periphery foci and terminates at the broadest points of the perimeter is known as an ellipse's main axis in geometry. The semi-major axis goes from the center via a focus and out to the periphery since it is one of the main axes. In essence, it is the radius of an orbit at its two farthest points. The radius serves as the semi-major axis for the unique instance of a circle. The semi-major axis can be compared to the long radius of an ellipse.
A line segment associated with most conic sections, such as ellipses and hyperbolas, and which forms right angles to the semi-major axis is known as the semi-minor axis (a semi-minor axis).
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a block of unknown mass is attached to a spring of spring constant 3.3 n/m and undergoes simple harmonic motion with an amplitude of 5.8 cm. when the mass is halfway between its equilibrium position and the endpoint, its speed is measured to be 26.4 cm/s. calculate the mass of the block. answer in units of kg.
The correct answer of mass of the block is 16.379 Kg.
How is energy conserved in a spring?
The mass's kinetic energy is converted into elastic potential energy as the spring contracts and it slows down. The complete amount of mechanical energy is conserved throughout this transformation.
Energy is conserved for the block-spring system between the maximum-displacement and the half-maximum points:
(K+U)i=(K+U)f
0+1/2 kA²=1/2 mv²+1/2 kx²
0.5 (3.3 N/m) (0.058 m) ²=1/2 m (0.26 m/s) ²+1/2(3.3 N/m) (2.90×10−² m) ²
=> 0.555 = 0.0338 m + 0.00138
=> mass = (0.555 – 0.00138) / 0.0338 = 16.379 Kg
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a motorboat accelerates uniformly from a ve- locity of 6.7 m/s to the west to a velocity of 2.2 m/s to the west. if its acceleration was 3.2 m/s2 to the east, how far did it travel during the acceleration? answer in units of m.
The acceleration, Distance is 7.407 m
What is acceleration?
The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities and accelerations. The direction of the net force acting on an object determines the direction of its acceleration.
Let the west direction is positive so the east direction is taken as negative.
initial velocity, u = 6.5 m/s
Final velocity, v = 1.5 m/s
acceleration, a = - 2.7 m/s^2
Let it travels a distance s during this acceleration.
Using the third equation of motion, we get
v²=u²+2as
1.5²= 6.5²-2x 2.7 xs
s = 7.407 m
Thus, the distance traveled is 7.407 m.
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which of the following statements correctly describe the information provided by quantum numbers? select all that apply.
a. the quantum number "n" indicates the principle energy level of an orbital.
b. the quantum number "l" indicated the shape of an orbital.
c. the relative size of the orbital is indicated by the value of "n"
Statements A and B have correctly described the information provided by quantum numbers.
A. The quantum number "n" indicates the principal energy level of an orbital.
B. The quantum number "l" indicated the shape of an orbital.
In quantum physics and chemistry, quantum numbers describe values of conserved quantities within the dynamics of a quantum system. Quantum numbers correspond to eigenvalues of operators that shuttle with the Hamiltonian—quantities that can be recognized with precision at the equal time as the system's strength—and their corresponding eigenspaces. collectively, a specification of all the quantum numbers of a quantum device absolutely symbolizes a basic kingdom of the system and might in principle be measured collectively.
A crucial thing of quantum mechanics is the quantization of many observable quantities of the hobby. This leads to quantum numbers that take values in discrete units of integers or half-integers; even though they might technique infinity in a few instances. This distinguishes quantum mechanics from classical mechanics in which the values that signify the gadget which include mass, price, or momentum, all vary constantly.
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Rank in order, from largest to smallest, the currents i1 to i7 at points 1 to 7.
Rank in order, from largest to smallest, the currents i1 to i7 at points 1 to 7 is I₄=I₇>I₁>I₂>I₃>I₄>I₅>I₆
Electric current refers to the perpetual motion of electrons in wire. Electric current for solid conductors is the flow of directed, negative-to-positive electrons from one atom to the next. Electrons and protons travel in the opposite directions in conductors such as liquids and gases where electric current is concerned. Electricity comes in two different forms: direct current (DC) and alternating current (AC) (AC). Electrons move just one way in direct current. DC is generated by batteries. Electrons flow both ways in alternating current. Always moving in the opposite direction are electrons. By convention, the direction of an electric current is the direction that a positive charge would move. Higher electric potential to lower electric potential is the direction in which current flows. Electrons move from a negative potential to a positive potential, and vice versa.
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the work done by a spring depends on ________.
Answer:
the change in length of the spring.
Explanation:
E = W = 1 ⁄ 2kx²
The amount of work the spring performs is influenced by its length change. Equal amounts of compression and extension result in the same amount of work being completed by the spring.
The diameter of the coil turns, the number of turns per unit length, the total length of the spring, and the stiffness of the spring material will all affect the spring constant. It also depends on the thickness of the wire from which the spring is wound. Work performed by a Spring: When a spring is extended or compressed, it applies force to the object that is doing the stretching or compression. It is possible to employ this force to convert an object's energy into elastic potential energy.
Let's lengthen the spring a little way, say d x dx dx. If F is the force used to stretch the spring, then the work involved in doing so is given by the equation d W = F d x, dW=Fdx, and dW=Fdx.
Positive work is produced when a spring is stretched or compressed. Reason: When force is applied and displacement is in the same direction, work is said to be positive.
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an object having an initial momentum that may be represented by the vector below strikes an object that is initially at rest. which of the following sets of vectors may represent the momenta of the two objects after the collision? note carefully: the original vector above and the following vectors are all drawn to the same length scale.
The sets of vectors that may represent the momenta of two objects after the collision is shown in the image attached.
If a moving object strikes an object at rest at an angle, after collision both the objects will move at right angles to each other. The final momentum vector may or may not be same in magnitude. If the moving object strikes the stationary object head on instead of at an angle, the moving object will become stationary and the stationary object will follow the moving object path. In this scenario both the objects are considered to have same size and mass.
If the object have different size, they bot will move at different velocities. If the moving ball is bigger, they both will move in the same direction. If the stationary ball is bigger, the stationary ball will follow the path of moving ball and the moving ball will go in exactly opposite direction.
Therefore, the sets of vectors that may represent the momenta of the two objects after the collision is shown in the image attached.
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Answer:
One arrow slightly up and to the right; one arrow slightly down and to the right.
Explanation:
Look at the picture.
he magnetic field inside a 25-cm-diameter solenoid is increasing at 2.4 T/s. How many turns should a coil wrapped around the outside of the solenoid have so that the emf induced in the coil is 15 V?
Using induced emf inside the magnetic field which is Faraday’s Law of Induction, we can calculate the number of turns a coil wrapped around the outside of the solenoid should have is 127 turns to induce 15v.
According to the Faraday’s Law of Induction, Faraday's law of induction is a basic law of electromagnetism predicting how a magnetic field will interact with an electric circuit to produce an electromotive force (emf) a phenomenon known as electromagnetic induction.
Induced emf = N ( dФ / dt )
where, N is the number of coil
and dФ is the change in magnetic flux
again, as we know,
dФ / dt = A (db/dt)
so, Induced emf = N A ( db/dt )
where A is the area of solenoid
Area of solenoid = πr² = π * ( 0.125 )² (diameter is 25cm)
putting the appropriate values, we get
15 = N x π x ( 0.125 )² x 2.4
N = [tex]\frac{15}{\pi * 0.015625 * 2.4}[/tex]
N = 15/0.11775
N = 127.38
N = 127 turns
hence 127 turns is needed to generate 15 v emf.
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What is the value of work done on an object when a 70–newton force moves it 9. 0 meters in the same direction as the force?.
The value of work done on an object when a 70-newton moves it 9.0m in the same direction as the force is 6.3 * 10^2 J
In physics, it measure of energy transfer that occurs when an object is moved over a distance by an external force at least part of which is applied in the direction of the displacement. In its simplest form, for a constant force aligned with the direction of motion, it equals the product of the force strength and the distance traveled.
How to calculate the value of work done on an object?
The formula for work (w) done is = force * distance
f = 70 N
d = 9 m
w = 70 × 9m
w = 630 J = 6 × 10² J
work is positive because work is being done on the object.
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a car rounds a curve at a steady 50 kph. if it rounds the same curve at 70 kph, will its acceleration be any different?
Yes, as the car's speed rises, the acceleration will also. rate of change of velocity with time, both in terms of speed and direction
What is an effective instance of acceleration?An object has positive acceleration when it is going faster than it was previously. Positive acceleration was demonstrated by the moving car in the first scenario. The acceleration will be in the same direction as that of the car's motion since the vehicle is moving ahead and accelerating.
Does zero acceleration exist?Acceleration is the product of velocity and time. Therefore, velocity must be constant if acceleration is zero. Currently, that constant might be anything, such as 5 m/s. Additionally, a zero velocity also means a zero acceleration.
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Questions High-speed video can record sporting events at a frame rate of 60 frames per second (frame/s). 8 a What is the time interval between one frame and the next?
The frame interval will be 1/60th of a second.
Solution:
60f = 1sec
1f = x
x = 1/60 sec.
The 24 frames per second standard are prevalent in film and video technology. This frame rate allows a video from a series of images to be perceived as a fluid whole. The I-frame interval configures the number of fields that occur between frames in the video stream.
A timeframe is defined as a span of seconds minutes days, hours weeks months, or years in which something occurs or occurs. For example, a project with a two-week deadline indicates a timeframe. A time interval is the length of time between two specific points in time. For example, The time difference between 3:00 and 4:00 is 1 hour.
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two forces, f1 and f2, are applied to a block on a frictionless, horizontal surface as shown. if the magnitude of the block's acceleration is 2 m/s^2, what is the mass of the block?
The mass of the block on the frictionless horizontal surface is 5 kg.
How to determine the mass of the block?The mass of the block is determined by applying Newton's second law of motion:
F = ma
The given parameters are
the magnitude of the first force, F₁ = 12 N
the magnitude of the second force, F₂ = 2 N
acceleration of the block, a = 2 m/s²
So, determining the mass of the block is
F = ma
∑F = ma
F₁ - F₂ = ma
12 - 2 = 2m
10 = 2m
m = 5 kg
Thus, the mass of the block on the frictionless horizontal surface is 5 kg.
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A man falls 2.0 m to the floor (assume down to be the negative direction.)
How long does the fall take?
What is his velocity when he hits the floor?
With the use of equation of motion formulas, the time taken for him to fall is 0.64 s and his final velocity when hitting the floor is 6.3 m/s
Motion Under GravityThe motion of an object under gravity is the vertical motion of the object under the influence of acceleration due to gravity.
Given that a man falls 2.0 m to the floor and it is assumed that downward direction to be the negative direction.
To know how long it will take the object to fall, we will make use of the formula h = ut + 1/2gt²
Where
Height h = 2 mInitial velocity u = 0Acceleration due to gravity g = 9.8 m/s²Time t = ?Substitute all the parameters into the formula
2 = 1/2 × 9.8 × t²
2 = 4.9t²
t² = 2/4.9
t² = 0.408
t = √0.408
t = 0.64 s
His velocity when he hits the floor can be calculated by using the formula
v = u + gt
where u = 0
v = 9.8 × 0.64
v = 6.3 m/s
Therefore, it takes 0.64 s to fall and his velocity when he hits the floor is 6.3 m/s
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A 40. 0-kilogram child exerts a 100. -newton force on a 50. 0-kilogram object. The magnitude of the force that the object exerts on the child is.
The magnitude of the force that the object exerts on the child is 100 N.
Calculation:-
mass of object = 50 kg
Force exerted by child = 100 N
From newton's third law of motion, equal and opposite force is applied.
Hence, force the object exert is same 100 N.
Force is a push or pulls upon an item because of the object's interaction with some other object. pressure is a power that can exchange the motion of an object. A force can reason an object with mass to alternate its speed, i.e, to boost up. pressure also can be described intuitively as a push or a pull. A force has each significance and course, making it a vector amount.
The phrase 'Force' has a unique meaning. At this degree, it is absolutely appropriate to describe a force as a push or a pull. A force is not something that an object consists of or 'has in it. A force is exerted on one object through another. The concept of a force isn't always restricted to living matters or non-living matters.
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a runner travels 500m in a straight line then pauses for a water break. He continues traveling straight for another 700m in the same direction. What is the runners total displacement.
Answer:
1200m
Explanation:
700+500=1200m
g a concave mirror has a focal length of 40 cm. if an object is placed 50 cm in front of the mirror, where will its image be located, and how will its size (height) compare to the original object?
image is formed at a distance 10 cm in front of the mirror
the focal length of concave mirror is 8cm.
What is concave mirror ?
A concave or converging mirror has a reflective surface that is recessed inward (away from the incident light). A concave mirror reflects light inwards towards a focal point. They are used to focus light. Unlike convex mirrors, concave mirrors display different types of images depending on the distance between the object and the mirror.
The mirror is called a "collecting mirror". This is because they tend to collect the light that hits the mirror and refocus the parallel incident rays to a focal point. This is because the normal to the mirror surface is different at each point, so light is reflected at different angles at different points on the mirror.
Given u=40 cm (negative)
m=14 (negative for the real image)
a. From m=−vu,−14=−v(−40) or v=-10 cm
Thus the image is formed at a distance 10 cm in front of the mirror.
b. Now from relation 1u+1v=1f
1f=1(−40)+1(−10)
=−540
or f=−405=−8cm
i.e., the focal length of concave mirror is 8cm.
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The density of a cube that measures 1. 00 cm on each side and has a mass of 2. 0g is __.
The density of a cube that measures 1. 00 cm on each side and has a mass of 2. 0g is 2 g/cm³.
calculation:-
length of each side = 1 cm
The volume of a cube = length × breath × height
= 1 × 1 ×1
= 1 cm³
mass = 2 g
Density = mass/ volume
= 2/1
= 2 g/cm³
Density is the substance's mass consistent with the unit of quantity. The symbol most customarily used for density is ρ, despite the fact that the Latin letter D can also be used. Density is the size of ways tightly a cloth is packed together. it's far defined as the mass consistent with unit quantity.
ρ = m/V, wherein ρ is the density, m is the mass of the item and V is the quantity of the object.
The density is of two types, one is absolute density, and the alternative is relative density. Relative density is also called unique gravity, which is the ratio of the density of a material to the density of a reference material. typically, the reference fabric is water.
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What is the value of the magnetic flux at coil 2 due to coil 1, which has a current i passing through it?.
Magnetic flux is zero
Magnetic flux (B) =
Magnetic field x area x cosစ
And စ being the angle between magnetic field and area vector
So we are given စ= 90°
B = magnetic field x area x cos(90)
B= 0
The quantity of magnetic field lines that travel through a specific closed surface is known as the magnetic flux. It offers a way to measure the total magnetic field that traverses a specific surface area.
The quantity of magnetic field lines that flow regularly through a surface is known as the magnetic flux associated with that surface. Weber is the SI unit for it.
The magnetic flux equation is provided by. When B = B A Cos,
The magnetic flux alters as the surface oscillates or spins between two poles of a magnet. According to Faraday's law, a change in magnetic flux results in the creation of an induced electric current with an electromotive force, or EMF.
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equal amounts of heat are added to equal masses of aluminum and iron at the same initial temperature. which metal will have the higher final temperaturem and how much greater will that temperature change be than th etemperature change of the other metal?
After using the heat capacity 1130220 J temperature change be than the temperature change of the other metal.
What is heat capacity?
A physical feature of matter known as heat capacity or thermal capacity is the quantity of heat that must be applied to an object in order to cause a unit change in temperature. J/K is the metric unit for heat capacity. A broad property is heat capacity.
Q = m c dT
for constant heat, increased temperature observed in the material of lower heat capacity.
so the silver will be the correct answer.
dTs / dTa = 0.9 / 0.233 = 3.86
Q = 3* 4186* (90 - 0)
Q = 1130220 J
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s the force that will stretch it right to its breaking point larger than, smaller than, or equal to 5000 N?
Yes, the force that will stretch is rights to the breaking point equal to 5000 N. Because the longer wire will аlso breаk аt 5000 N. The force per unit аreа is the sаme in both cаses.
What happens to stretch wire to breaking point?When а stress is аpplied to а piece of mаteriаl, the mаteriаl undergoes а corresponding deformаtion or strаin. Under а tensile stress, the mаteriаl stretches. Initiаlly, the аmount by which it stretches is proportionаl to the аpplied force. Thаt is, the mаteriаl obeys Hooke’s Lаw, which is expressed by the equаtion F = -kx, where k is а constаnt аnd x is the chаnge in the length of the mаteriаl.
Your question is incomplete, but most probably your full question was
A wire is stretched right to the breaking point by a 5000 N force. A longer wire made of the same material has the same diameter. Is the force that will stretch it right to the breaking point larger than, smaller than, or equal to 5000 N?
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An ideal incompressible fluid flows at 12 m/s in a horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wider section?.
The flow speed in the wider section of horizontal pipe is 3 m/s
How to find the value of flow speed in the wider section?Based on the Law of Continuity which states that a flowing fluid will have a constant discharge, where this discharge has a formula:
Q = A × v
where
Q = fluid discharge (m³/s)
A = pipe area (m²/s)
v = fluid speed (m/s)
From that formula, we can solve the problem by the formula of Q1 = Q2, here it is
A1 x v1 = A2 x v2
(π · r²) x 12 = (π · (2r)²) x v2
r² x 12 = (4) r² x v2
v2 = 12/4 m/s
v2 = 3 m/s
v2 is the speed from the pipe section that widens to twice from its original radius.
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Describe where gamma rays are found on the ems compared to the other six forms of radiation. In your description, compare and contrast its wavelength, frequency and energy with those of other regions of the ems.
The wavelength of UV radiation is longer than that of x-rays and gamma rays but shorter than that of radio waves, microwaves, infrared, and visible light.
The frequency of UV radiation is higher than that of radio waves, microwaves, infrared light, and visible light, but it is lower than that of x-rays and gamma rays.
UV radiation has a lower level of hazard.
What do you mean by wavelength, frequency and energy?Wavelength:
Distance between the crests of two waves, or from one wave's point to the same of the second.
Frequency:
Wavelength and frequency are inversely proportional, the larger the wavelength the lesser the frequency
Energy: The relationship between frequency and energy is straightforward.
From longest to shortest wavelengths, this is a list of electromagnetic waves.
Radio wave, Microwave, Infrared, Access to light, Ultraviolet rays, X-ray, Gamma rays
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if we lived in a system with only one planet, which of kepler's laws could never be discovered observationally?
Answer:
If we lived in a system with only one planet, Kepler's Third Law could never be discovered observationally.
A student is subjected to a reaction force of 10 n northward from a 5 kg block while pushing the block over a smooth, level surface. Ignoring friction, what is the acceleration of the block?.
Ignoring the Friction, the Acceleration of the block would be 2 [tex]ms^{-2}[/tex].
The relation of force with mass and acceleration is given by :
Force = Mass * Acceleration
Here the Force is 10N and the mass of the block is 5 Kg so substituting the values in the formula we get
Acceleration = [tex]\frac{Force}{Mass}[/tex] = [tex]\frac{10}{5}[/tex] = 2 [tex]ms^{-2}[/tex] .
What is force-
According to physics. 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). Force is denoted by the letter F. (formerly P).
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Celine is measuring all of the dry ingredients she needs for a recipe by packing them into containers and measuring their what?.
The term "visual weight" refers to a visual power that emerges from the contrasts of light among some of the individual visual elements that make up an image.
How does measuring work?Associating numerals with quantities and events is the process of measuring. The sciences, engineering, building, and other technological professions, as well as practically all daily activities, all depend on measurement.
What does measuring mean?Comparing a physical quantity to a recognized standard amount of the same kind is the activity of measurement. For instance, measuring length with Vernier Calipers and determining wire diameter with a screw gauge.
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A type of air cooler works by blowing air from the room through
a sponge soaked in water.
Explain how blowing air through a sponge soaked in water lowers
the temperature of the air.
Plants Have hormones/
Yeah. Plants have hormones. There are five major types of plant hormones: auxins, cytokinins, gibberellins, ethylene, and abscisic acid.
-_-
16. Energy is transferred by collisions during conduction. What is transferred between the
particles?
a. heat
b. energy
c. radiation
d. germs
Energy is transferred by collisions during conduction and a)heat is transferred between particles.
What is transferred between particles?Conduction heat transfer is the transfer of heat through matter without bulk motion of the matter. We can also say that, conduction is the transfer of energy from the more to less energetic particles of a substance due to interaction between the particles.
Process by which heat energy is transmitted through collisions between neighboring atoms or molecules is called conduction.
In conduction, heat is transferred through the vibration of molecules and as something gets warmer, it increases the vibration and movement of the molecules . Particles are closely packed together and are in direct contact in solids.
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