a horizontal 2.0-kgkg rod is 2.0 mm long. an 7.0-kgkg block is suspended from its left end, and a 5.0-kgkg block is suspended from its right end. part a determine the magnitude of the single extra force necessary to keep the rod in mechanical equilibrium. express your answer with the appropriate units. ff
Answers
The magnitude of a single extra force necessary to keep the rod in its mechanical equilibrium is 20N in the same direction with the 5.0kg blocks' weight force.
A system is in the mechanical equilibrium when it is at rest and the resultant of the force working on the system is equal to zero (0) or no movement happen within the system.
Please take a look at the drawing below.
The existance of 2 blocks attached to each of the rod's ends are enable the rod to move in a circular form. Hence, we could conclude that both of the blocks are giving centripetal forces to the rod.
Centripetal force is the force that works in a system and make a system to move within the curved path. The direction of this force is always perpendicular to the system fixed center point.
On the case, the center point is the center of gravity of rod, where the weight force (W) working in the system. Assuming that the rod is a symetrical solid rod, hence the center point is exatcly at the middle of the rod.
Both of the blocks are giving weight forces to the system with their mass. However since they are differences on their mass, their weight forces are also working differently.
Both of the blocks are working to the system and moving the system into their respective direction, which are the opposite of each other.
Hence, we could conclude that we need to give extra force into one of the block's force direction to balance all the forces working in the system.
Because we want the system to be in its mechanical equilibrium, we have to use the First Law of Newton where the force resultant of the system must be equal to zero (0).
We could write the equation for this system:
∑F = 0
Fs1 - Fs2 + Fs3= 0
(W1 × 1) - (W2 × 1) + (F3 × 1) = 0
(7×10×1) - (5×10×1) + F3 =0
70 - 50 + F3 = 0
F3 = - 20N
Hence, we need to give an extra 20N force in the same direction with the 5.0kg blocks' weight force to make system reaches its mechanical equilibrium.
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Related Questions
A spacecraft orbits mars (mass = 6.40 x 10^23 kg) in a circular orbit of radius 8.01 x 10^5 km. What is the period of the spacecraft?
Answers
Answer:
Explanation:
Given:
M = 6,40·10²³ kg
R = 8.01·10⁵ km = 8.01·10⁸ m
G = 6.67·10⁻¹¹ N·m²/kg²
____________________
T - ?
Orbital speed:
V = √ ( G·M / R) = √ (6.67·10⁻¹¹·6,40·10²³ / 8.01·10⁸) ≈ 220 m/s
Orbit length:
D = 2·π·R = 2·3.14·8,01·10⁸ = 5·10⁹ m
Period:
T = D / V = 5·10⁹ / 220 ≈ 23·10⁶ s = 266 days
could you help me answer these question? thank you!
Answers
The isotope that is best for the preservation of food is technetium.
Which isotope is better for the irradiation of food?We know that a radioactive isotope is one that does decay after some time. This implies that the radioactive isotope would undergo the process of spontaneous disintegration and gradually disappears as it is converted to the daughter nucleus which may not be radioactive.
In this case, we know that what is being irradiated is food hence we have to look at the various options of the isotopes that we have and then look at the one that has the shortest half life.
The reason why we must go this way is that the isotope that has the shortest half life is more likely to be completely decayed in a short time before the food is consumed thereby posing no threat to the consumer.
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cover the top half of a camera lens. what effect does this have on the pictures taken, if nothing else changes?
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When we cover the top part of the lens, the image becomes dimmer. So we lose about half of the light from all areas of the object when we block half of the lens.
What is meant by an optical instrument?The camera is used to capture images, events, and so on. It is photographic and consists of a lens system convex lens and photographic film encased in a black box to make it light proof. The camera's operating mechanism is similar to the eye's, but the camera can also make tangible images.
The image becomes dimmer when we cover the top of the lens. This means that light from all areas of the object passes through all of the lens and then creates the image, so when we block half of the lens, we lose about half of the light from all areas of the object.
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under development at mit, photonic crystals allow solar panels to be twice as efficient by absorbing and converting the sun’s ___.
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Under development at MIT, photonic crystals allow solar panels to be twice as efficient by absorbing and converting the sun’s Heat.
A periodic change in the refractive index characterizes an optical nanostructure known as a photonic crystal. Similar to how the shape of natural crystals causes X-ray diffraction and how semiconductors' atomic lattices (crystal structure) affect their conductivity of electrons, this has an impact on how light travels. In nature, photonic crystals take the shape of structural colouring and animal reflectors, and when created artificially, they hold promise for a variety of uses.
It is possible to create photonic crystals in one, two, or three dimensions. Thin film layers that are placed on top of one another can form one-dimensional photonic crystals. For two-dimensional ones, photolithography or drilling holes in an appropriate substrate can be used.
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An object of mass 10 kg is placed on a frictionless incline of 25°. Deduce how many seconds it would take to travel down a 5.0 m incline from rest.
Answers
MAIN ANSWER- [tex]5/\sqrt{21} sec[/tex]
supporting answer-When a body is moving, it experiences resistance because it interacts with its surroundings. This resistance is a friction force. Friction opposes relative motion between systems in contact but also allows us to move, a concept that becomes obvious if you try to walk on ice. Friction is a common yet complex force, and its behavior still not completely understood. Still, it is possible to understand the circumstances in which it behaves.
body of the answer- a block of mass m with 10kgs is sliding on a inclined plane with frictionless surface
final answer- [tex]5/\sqrt{21} sec[/tex]
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a 22.0 kg block is initially at rest on a horizontal surface. a horizontal force of 72.0 n is required to set the block in motion. after it is in motion, a horizontal force of 62.0 n is required to keep the block moving with constant speed. find the coefficients of static and kinetic friction from this information.
Answers
The work energy of speed is
1304.2 .
What is work energy ?
work energy is the most fundamental quantity of physics . Work is said to be done when a force applied to an object cause a displacement of a object.
Solution -
As per the given-
Mass of runner m = 74kg
Initial velocity of runner u=4.8 m/s
Final velocity of runner v =0
Coefficient of friction ¥=0.7
Let's d be the distance moved by runner till the stop.
a- mechanical energy lost due to friction
As friction does negetive work causing the runner to stop.
As we know,
Mechanical energy lost= Kinetic energy of runner
Mechanical energy lost =
1/2 mv^2 = 1/2 ×74×4.8^2=852.2
Distance move by runner-
Work done by friction = mechanical energy lost
-¥×mg×d =852.2 j
-0.7×74×9.8×d = -491.2
Solving the equation we get
1304.2.
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a truck has four times the mass of a car and is moving with twice the speed of the car. if kt and kc refer to the kinetic energies of truck and car respectively, it is correct to say that
Answers
The velocity of the car is 46.48 m/s.
What is velocity?
velocity is directional speed of a object in motion as an induction of it's rate of change in position observed from a particular frame of reference and as measured by a particular standard of time.
Sol- The linear momentum of a body is defined as the product of its mass and its velocity, given by-
P = mv
According to the question the momentum of the truck is-
Pr=2250×25 kgm /s
Pr=56250 kgm/s
Now we can see the momentum of the car and the truck must be same that is Pc=Pr
1210×v =56250 kgm/s
v= 56250/1210
v= 46.48 m/s
Thus the velocity of the car is 46.48m/s .
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explain what you observed when you held the magnet close to the tube. why did the beam get deflected the way you observed? more specifically, why does it spiral instead of just changing the radius?
Answers
The magnetic field lines will combine when the magnet is closer to the the cathode ray tube, bending the beam of electrons as a result. The magnet pole orientation on either side of the cathode ray tube determines which way it bends.
what is magnrtic field lines?
Magnetic field lines are the lines that make up a magnetic field; their tangents at different points indicate the direction and amplitude of the field, respectively. The number of magnetic field lines affects how strong the magnetic field is.
B and H are used to denote the magnetic field. The SI units for B and H are Newtons per metre per ampere or Teslas, respectively.
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The magnetic field lines will combine when the magnet is closer to the the cathode ray tube, bending the beam of electrons as a result. The magnet pole orientation on either side of the cathode ray tube determines which way it bends.
What is magnrtic field lines?
Magnetic field lines are the lines that make up a magnetic field; their tangents at different points indicate the direction and amplitude of the field, respectively. The number of magnetic field lines affects how strong the magnetic field is.
B and H are used to denote the magnetic field. The SI units for B and H are Newtons per metre per ampere or Teslas, respectively.
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A 8.0-cm-long spring is attached to the ceiling. When a 2.2kg mass is hung from it, the spring stretches to a length of 18cm .
What is the spring constant k?
Express your answer to two significant figures and include the appropriate units.
How long is the spring when a 3.0 kg mass is suspended from it?
Express your answer to two significant figures and include the appropriate units.
Answers
The spring force comes out to be 220k/m and when the 3kg block is tied the extension in spring is 13.67cm.
Solution is attached.
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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The big surprise about the first planet discovered around another regular star was that it.
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The primary surprise regarding the first planet found orbiting another regular star was the fact that its orbit took only 4 days to complete.
What method was employed by astronomers to make the first verified discovery of a planet orbiting a star similar to the Sun?Astronomy has long employed the method, also known as the radial velocity method. The same telescope that astronomers used to find this planet was also used to find the first planet ever discovered around a sun-like star using radial velocity.
Finding exoplanets can be done using the Doppler method. The motion and characteristics of the star and planet are examined using the Doppler effect. The planet and the star are revolving around the same mass.
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20.) In an experiment that measures how fast a student reacts, a meter stick dropped
from rest falls 0.20 meter before the student catches it. The reaction time of the student approximately
a)0.30s
b)0.20s
c)0.10s
d)0.40s
Answers
The reaction time of the student is approximately 0.2 s (Option B)
How do I determine the reaction time of the student?Considering the question given above, the following formula can be use to obtain the time
h = ½gt²
Where
h is the heightg is the acceleration due to gravityt is the timeNow, let us calculate the reaction time of the student. This is shown below:
Height (h) = 0.20 meterAcceleration due to gravity (g) = 9.8 m/s²Reaction time (t) = ?h = ½gt²
0.20 = ½ × 9.8 × t²
0.20 = 4.9 × t²
Divide both side by 4.9
t² = 0.20 / 4.9
Take the square root of both side
t = √(0.20 / 4.9)
t = 0.2 s
Thus, the reaction time is 0.2 s (Option B)
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when water is cooled and circulated throughout the building to air-heat exchange coils, the water is referred to as a(n
Answers
Water is referred to as a secondary refrigerant when it is cooled and circulated all through the building to higher ventilation coils.
How do secondary refrigerants work?With the help of secondary refrigerants, the quantity of primary refrigerants that are bad for the environment can be kept to a minimum and contained. In contrast to conventional refrigerants like HCFCs, secondary refrigerants, such as water, air, hydrocarbons, ammonia, and carbon dioxide, are less harmful to the environment.
Why are secondary refrigerants advantageous?The benefits of using refrigerants for industrial cooling include having a low primary refrigerant charge, preserve and enhance by limiting the use of the primary refrigerant to the engine compartment, a secondary pipe system that may occasionally be smaller, and the ability to use alternative insulations.
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The average density of the material in intergalactic space is approximately 2. 5 × 10^–27 kg/m^3. What is the volume of a gold sample, rho = 19 300 kg/m^3, that has the same mass as 8. 0 × 10^24 m^3 of intergalactic space?.
Answers
The Volume of gold with the given mass and density would be 1.03 X 10^-5 m^3.
Density of material = [tex]2.5 * 10^{-27}[/tex] Kg/m^3
Density of gold = 19300 kg/m^3
Volume of material = [tex]8 * 10^{24}[/tex] m^3
mass of material = [tex]2.5 * 10^{-27}[/tex] X [tex]8 * 10^{24}[/tex] Kg
= [tex]2 * 10^{-2}[/tex] Kg
Since we know that mass of gold sample is same as mass of material
mass of gold = [tex]2 * 10^{-2}[/tex] Kg
Volume Of Gold = Mass / Density of gold
= (2 * 10^-2) / (19300) m^3
answer = 1.03 X 10^-5 m^3
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an electron is confined to a region of space of the size of an atom (0.1 nm). (a) what is the uncertainty in the momentum of the electron? (b) what is the kinetic energy of an electron with a momentum equal to p? (c) does this give a reasonable value for the kinetic energy of an electron in an atom?
Answers
The uncertainty momentum of the electron is 5.28×10-24 kg.m/s and the kinetic energy is 95.5eV .
What do you understand by Heisenberg uncertainty principle?
Heisenberg uncertainty principle states that it is very difficult or impossible to measure the exact position as well as the momentum of a given object. This is mainly based on the wave particle duality of matter. This principle holds a significant value in the quantum world. This principle is for those particles which holds both particle as well as wave nature.
a) Heisenberg uncertainty principle :
ΔxΔp≥h/4π
where x = uncertainty position
p= momentum
h = planck's constant (6.63×10-34)
uncertainty in momentum = Δp
Δp= h/Δx4π
Given, Δx = 0.1 nm = 1.0 ×10-11 m
⇒6.63×10 -34/4π×1.0 ×10-11 m
⇒5.28×10-24 kg m/s
b) Δp = mΔv
m = mass of electron=9.11×10-31 kg
Δv= Δp/m
⇒5.28×10-24/9.11×10-31 kg
⇒5.79×10 6 m/s
Kinetic energy = 1/2 mv²
⇒1/2(9.11×10-31 kg)(5.79×10 6 m/s)²
⇒1.53×10 -17 J/ 1.6×10 -19 ×1 eV
⇒95.5eV
c) Yes, it gives a reasonable value for the kinetic energy of an electron in an atom.
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using energy considerations and assuming negligible air resistance, show that a rock thrown from a bridge 20.0 m above water with an initial speed of 15.0 m/s strikes the water with a speed of 24.8 m/s independent of the direction thrown.
Answers
Using energy considerations Since Ef=Ei, a rock thrown from the tip of a bridge doesn't matter which direction it is thrown in.
Given that,
Height of the bridge is 20m
Initial before he throws the rock
The height is hi = 20 m
Then, final height hitting the water
hf = 0 m
Initial speed the rock is throw
Vi = 15m/s
The speed at final is at which the rock hits the water
Vf = 24.8 m/s
Using given energy conservation
Ki + Ui = Kf + Uf
Where
Ki is initial kinetic energy
Ui is initial potential energy
Kf is final kinetic energy
Uf is final potential energy
Then,
Ki + Ui = Kf + Uf
Where
Ei = Ki + Ui
Where Ei is initial energy
E i =1/2mVi² +m*g*hi
E i =1/2m × 15² + m *9.8*20
E i = 112.5m + 196m
E i = 308.5m J
Now,
E f = Kf + Uf
E f =1/2mVf² + m*g*hf
E f =1/2m*24.8² + m*9.8* 0
E f = 307.52m + 0
E f = 307.52m J
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a 1.0 m long wire is placed perpendicular to a magnetic field of strength 0.20 t. if the wire experiences a force of 0.60 n, what is the magnitude of the current moving through the wire?
Answers
I = 3.0A
What is current?
A stream of charged particles, such as electrons or ions, traveling through an electrical conductor or a vacuum is known as an electric current. The net rate of electric charge flowing through a surface or into a control volume is how it is calculated.
For a current-carrying wire running perpendicular to a magnetic field, the magnetic force acting on the wire is given by:
F = ILB
F = magnetic force, I = current, L = wire length, B = magnetic field strength
Given values:
F = 0.60N, L = 1.0m, B = 0.20T
Plug in and solve for I:
0.60 = I(1.0)(0.20)
I = 3.0A
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two ropes support a load of 663 kg. the two ropes are perpendicular to each other, and the tension in the first rope is 1.94 times that of the second rope. find the tension in the second rope. the acceleration of gravity is 9.8 m/s 2 . answer in units of n.
Answers
Formulas for the balancing of forces
Examine the force diagram in the graph that is attached:
∑Fx=0
T1sen - T2cos = 0 Equation
∑Fy=0
T1cos ∝ + T2sin ∝ - W = 0. Equation(2)
forces in the x and y directions,
Horizontal movement
T1*CosA=T2*Cos(90-A)
Vertical Movement
m*g = T1*SinA + T2*Sin(90-A) (2)
We also know that T1=1.91 and T2 (3)
Thus, the final equations are
T1*CosA=T2*Cos(90-A)
A=62.365235 degrees using (2) and substituting a value for (3)
460*9.8 = 1.91*T2 *Sin(62.365235) + T2 *Cos(62.365235)
T2 = 4508 / (2.1559) = 2090.96 N
T1 = 1.91*T2 = 3993.737 N
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a negatively charged electroscope has separated leaves. (a) suppose you bring a negatively charged rod close to the top of the electroscope, but not touching. how will the leaves respond? (b) how will the leaves respond if you bring a positively charged rod close to the top of the electroscope, but not touching?
Answers
The leaves of a negatively charged electroscope will move apart if a positively charged rod is brought close to the top of the electroscope, but not touching it.
What is an electroscope?
An early scientific tool used to find an electrical charge on a body is called an electroscope. The movement of a test object caused by the Coulomb electrostatic force is used to detect charge. An object's charge is inversely proportional to its voltage.
part a) leaves will repel. leaves will move further apart.
part b) all the negative moves to the top to get closer to the positive leaves go back together as an excess negative move to the top. leaves separate less.
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a projectile is launched horizontally from a height of 65 meters with an initial horizontal speed of 35 meters pre second. what is the projectile's horizontal speed after it has fallen 25 meters? 22 m/s 35 m/s
Answers
Answer: 35m/s
Explanation: answer from castle learning
A projectile is launched horizontally from a height of 65 meters with an initial horizontal speed of 35 meters pre second. projectile's horizontal speed after it has fallen 25 meters is 35 m/s.
what is speed ?Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
The formula of speed is represented as s=d/t, Where, s is the speed in m.s-1, d is the distance traveled in m, t is the time taken in s
There are four types of speed such as Uniform speed, Variable speed, Average speed, Instantaneous speed
Uniform speed is an uniform speed when the object covers equal distance at equal time intervals, variable speed is defined as when the object covers a different distance at equal intervals of times.
Average speed is defined as the uniform speed the ratio of total distance travelled by an object to the total time taken by the object.
Instantaneous speed is defined as an object is moving with variable speed, then the speed at any instant of time is known as instantaneous speed.
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What is the density of an object with a mass of 40.0g and a volume of 80.0cm3?
Answers
Density of liquids and gases.
Data:
d = ?
m = 40.0 g
v = 80.0 cm³
The formula for the density of liquids and gases
d = m/v
Since it asks us to calculate the density, it is not necessary to clear the formula. We just substitute data and solve.
d = 40.0 g/80.0 cm³
d = 0.5 g/cm³
The density of an object with a mass of 40.0 g and a volume of 80.0 cm^3 is 0.5 g/cm^3.2. if water vapor comprises 1% of an air parcel whose total pressure is 1000 mb, the water vapor pressure would be ( ) mb?
Answers
Since water vapor makes up 1% of the air mass while that there are 1,000 mb of total pressure, the water evaporation rate would be 35 mb.
What is an illustration of pressure?By applying a scalpel to a slice of fruit, one can observe a basic pressure. The surface won't be cut if you press the flat section of the sword against the fruit. The force is dispersed over a broad region.
How can pressure be determined?Absolute, gauge, & differential pressure measurements are the three types. While gauge and difference pressures are reference to another pressure, such as the outside air pressure or the pressure in a nearby vessel, absolute pressure is defined as the maximum stress in a vacuum.
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Energy released by the electron transport chain is used to pump h+ ions into which location.
Answers
Energy released by the electron transport chain is used to pump h+ ions into the mitochondrial inner membrane space.
Describe the process of electron transport?
The last phase of aerobic respiration is electron transport. In this phase, energy from the Krebs cycle products NADH and FADH2 is converted to ATP.Energy from the chemical bonds in glucose is stored at the end of the Krebs Cycle in a variety of energy carrier molecules, including four ATPs, two FADH2 molecules, and ten NADH molecules.Transferring energy from the electron carriers to additional ATP molecules, the "batteries" that power the work within the cell, is the main function of the final step of cellular respiration, the electron transport chain.The electron transport networks employed in photosynthesis are similar to the pathways for ATP generation in stage 3 of aerobic respiration. Energy-carrying electrons cascade from one to another in both electron transport chains, losing a small amount of energy along the way because energy carrier molecules are arranged in a specific order within a membrane.
The electron transport chain, often known as the "respiratory chain," is embedded in the inner membrane of the mitochondria during aerobic respiration. The FADH2 and NADH molecules generated during glycolysis and the Krebs Cycle provide high-energy electrons to energy carrier molecules inside the membrane. In order to pump hydrogen ions into the mitochondrial intermembrane gap and produce an electrochemical gradient, they lose energy as they go from one carrier to another.
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By how much does the density of air increase when it is compressed to half its volume?.
Answers
When the air is compressed to half its volume the density gets doubled.
What is density?Density refers to mass of matter per unit volume. The most common symbol for density is ρ. Density provides a convenient means of obtaining the mass of an object from its volume and vice versa. A change in the mass or volume of an object can change the density of the object. So, when volume increases density decreases simultaneously.
Since, Density = Mass/ Volume
If the volume is compressed to half i.e. V/2 then,
ρ = M/(v/2)
ρ = 2M/V
Hence, density gets twice it's original value when we lower the volume to half.
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What is the main difference between vulnerability scanning and penetration testing?.
Answers
The main difference between vulnerability scanning and penetration testing is the automation.
A vulnerability scan is an automated, high-level test which looks for potential vulnerabilities and reports those vulnerabilities. A vulnerability scan is also known as vulnerability assessment. It assesses computers, systems and networks for security weaknesses.
A penetration test is done by a real person rather an automated machine. It is a detailed hands on examination that tries to detect and exploit weaknesses in your system. A penetration test simulates a hacker's attempt to get into a business system through research and the exploitation of vulnerabilities.
Therefore, the main difference between vulnerability scanning and penetration testing is the automation.
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if you showed a child with concrete operations two identical short, wide glasses with the same amount of water in them and then poured one of the glasses of water into a taller, thinner glass, the child would likely say that:
Answers
Since the water level is higher in the tall, thin glass than it is in the shorter glass, there is more water in it.
Water is a liquid that possesses a variety of anomalies in its specific volume, as well as unusually high melting and boiling temperatures, a significant heat capacity, one of the highest dielectric constants among non-metallic liquids, and a number of other anomalies. Water is also a very effective solvent because it can dissolve a wide variety of substances. Water is widely accessible in all three states due to its low freezing and boiling points deu to temperature. Water, a substance that exists in the gaseous, liquid, and solid states and is made up of the chemical elements hydrogen and oxygen, has a very high specific heat. It is among the most common and necessary compounds. At room temperature, it is an odorless, tasteless liquid with the significant property of dissolving many other substances.
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a trash compactor can reduce the volume of its contents to 0.808 their original value. neglecting the mass of air expelled, by what factor is the density of the rubbish increased?
Answers
The factor by which the density is increased F = 2.86.
What is density?The amount of something per unit of length, area, or volume: as the substance's mass per unit volume given in grams per cubic centimeter is density.How much "stuff" is contained in a specific quantity of space is factor of its density. For instance, a block of the harder, lighter element gold (Au) will be denser than a block of the heavier element lead (Pb) (Au). Styrofoam blocks are less dense than bricks. Mass per unit volume serves as its definition.This equation can be used to determine an object's or substance's density: Mass in kilograms divided by volume in meters cubed gives density in kilograms per square meter (p = m/v).To learn more about density from the given link :
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2. electrical appliances are usually grounded in order to (a) maintain a balanced charge distribution (b) prevent the buildup of heat on them (c) run properly using household electricity (d) prevent the buildup of static charges on their surfaces
Answers
Electrical appliances are usually grounded in order to-
(a) maintain a balanced charge distribution.
What is meant by Grounding?
By transferring electrons between one thing and a larger object, a process known as grounding allows one to reduce an object's excess charge.When an object is grounded, the excess charge is reduced due to the transfer of electrons from the grounded object to the ground.
A ground is essentially an object that acts as an apparently endless source of electrons. It has the ability to send electrons to or absorb electrons from charged objects in order to neutralize such objects.
Hence, the correct option is-
(a) maintain a balanced charge distribution.
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What exerts a force that causes other electric charges to move.
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causes other electric charges in the electric field to move. When a charge is placed in an electric field, the field will either pull or push the charge.
What propels the charges forward?A charge moves, transferring energy that can be put to use for work. The force of attraction or repulsion between charged particles is what moves a charge because it is the same force that builds up a charge in the first place.
The electric charge is pushed by what?An electric field pushes the charges forward. We require an electric potential (voltage) source to force electrons from a point of low potential energy to one of higher potential energy.
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Which indicates what happens to the kinetic energy of an object when its speed increases?.
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The kinetic energy increases by the square of the same factor as the speed increase.
Kinetic energy only changes when speed changes. Speed is only related to the size of an object. Kinetic energy increases as speed increases. All moving objects have the same kinetic energy.
The equation for Kinetic Energy is:- KE = 1/2 mv².
Kinetic energy has a direct relationship with mass, meaning that as mass increases so does the Kinetic Energy of an object. The same is true of velocity.
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Calculate the effective value of g, the acceleration of gravity, at (a) 6400 m, and (b) 6400 km, above the earth's surface.
Answers
The gravitational acceleration at 6400 m is 9.74 m/s² and at 6400 km is 2.43 m/s².
We need to know about the gravitational field to solve this problem. The gravitational field is the area where affected by gravitational force. The magnitude of the gravitational field can be calculated by this equation
g = G . m / (R+r)²
where g is the gravitational field, G is gravitational constant (6.67 x 10¯¹¹ Nm²/kg²), m is the mass of the planet and r is the radius of the planet
From the question above, we know that
m = 5.94 x 10²⁴ kg
R = 6371000 m
ra = 6400 m
rb = 6400000 m
Find the gravitational acceleration at 6400 m
g = G . m / (R + r)²
g = 6.67 x 10¯¹¹ . 5.94 x 10²⁴ / (6371000 + 6400)²
g = 9.74 m/s²
Find the gravitational acceleration at 6400 km
g = G . m / (R + r)²
g = 6.67 x 10¯¹¹ . 5.94 x 10²⁴ / (6371000 + 6400000)²
g = 2.43 m/s²
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