circular turns of radius r in a race track are often banked at an angle θ to allow the cars to achieve higher speeds around the turns. assume friction is not present, and use the coordinate system specified.
Answers
The normal reaction is given by: F_N = {F(g) v²} / g. r. sinθ. This can be solved by centripetal acceleration.
What is centripetal acceleration?A net force called a centripetal force works on an item to keep it moving in a circular motion. centripetal acceleration, or the speed of a body moving along a circle. Because velocity is a vector quantity (i.e., it has both a magnitude, the speed, and a direction), as a body moves on a circular course, its direction continually changes and as a result, its velocity varies, leading to an acceleration.
As the car goes around the turn, the centripetal acceleration in provided by Fy
So, we have:
mv² / r = F_N(x) ................ (1)
now, m = F(g) / g
F_N(x) = F_N sinθ
Substituting in equation (1) we get:
{F(g) / g}. v²/r = F_N sinθ
or, F_N = {F(g) v²} / g. r. sinθ
The normal reaction is given by: F_N = {F(g) v²} / g. r. sinθ
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Related Questions
to what part of the electromagnetic spectrum does the thermal radiation trapped in a greenhouse belong to?
Answers
Answer:
Considerando, que al tope de la atmósfera llega un 100% de la radiación solar, de este total, sólo un 25% llega directamente a la superficie de la Tierra y un 25% es dispersado por la atmósfera como radiación difusa hacia la superficie, esto hace que cerca de un 50% de la radiación total incidente llegue a la ...
Explanation:
A high surface tension results from _____.
Answers
Answer:
Capillary Action.
Explanation:
Capillary action is the ability of a liquid to flow in narrow spaces without the assistance of, or even in opposition to, external forces like gravity.
PLEASEE HELP!!!!!!Why are the youth not getting involved in their communities and voting? How is media influencing the voters?
Answers
Answer:
because they are underaged and prob dont care and also the gov thinks that the youth cant make a reasonable decision for them selves for sum like that and the media influnces them to by saying whats going on and who supports who
Please help meeeeeeeeeeeeeeeeee??????????!!!!!?!!??!!?!!!?
Answers
which is the smallest particle of an element ?
Answers
Answer:
Atoms
Explanation:
An atom is the smallest particle of an element that still has the properties of that element
Answer:
\( \huge{ \boxed{ \bold{ \sf{Atom}}}}\)
✎ Let's explore about Atoms :
⟶ The smallest particle of an element which takes part in a chemical reaction without its division is called an atom. All the atoms of an element are the same. The atoms of different elements are different. All the atoms of iron in an iron nail are the same. But the atoms of iron are different from the atoms of copper. All the atoms of elements except hydrogen are made up of electron , proton and neutron. A hydrogen atom is made up of only electron and proton. Most of the atoms of elements do not exit independently except the atoms of inert gases like helium , neon , krypton etc.
____________
✑ EXTRA INFO :
STRUCTURE OF THE ATOM :
⟶ According to scientists , an atom is a sphere with a diameter of approximately \( \sf{ {10}^{ - 10}} \) m. In the \( \sf{ {19}^{th} }\) century , it was found that there are other smaller particles in an atom. These smaller particles are called subatomic or elementary or fundamental particles. The main subatomic particles are electrons , protons and neutrons. Among three subatomic particles of an atom , protons and neutrons are located at the centre of the atom called nucleus. The nucleus shows the positive charge due to the positive charge of protons. It also helps to find atomic weights . Electrons are revolving around the nucleus in their respective orbits or shells. The number of electrons present in an atom determines the size of the atom as it occupies more space as compared to the nucleus. In any atom , the number of negatively charged electrons in the orbits is equal to the number of positively charged protons in the nucleus. So, An atom is electrically neutral.
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A student has been assigned to measure the density of an irregularly shaped piece of metal.which apparatus would be more appropriate to carry out this task
Answers
Complete Question:
A student has been assigned to measure the density of an irregularly shaped piece of metal.
Which apparatus would be most appropriate to carry out this task?
Group of answer choices
A. ruler, balance
B. beaker, crucible
C. flask, Bunsen burner
D. graduated cylinder, balance
Answer:
D. graduated cylinder, balance
Explanation:
In this scenario, A student has been assigned to measure the density of an irregularly shaped piece of metal.
The apparatus which would be most appropriate to carry out this task is a graduated cylinder and balance.
A graduated cylinder can be defined as a measuring cylinder used for the measurement of the volume of an irregularly shaped piece of metal or liquids. It is typically marked with horizontal lines on its side as units of measurement for volume. The balance is then used to weigh the metals mass.
two metal balls are the same size but one weighs twice as much as the other. you roll them off a horizontal table with the same speed. in this situation:
Answers
When two metal balls of the same size are rolled off a horizontal table with the same speed, the heavier ball will hit the ground with more force than the lighter ball.
The kinetic energy of both balls will be the same since they have the same speed. However, the heavier ball will have more potential energy than the lighter ball due to its greater mass. When both balls hit the ground, their potential energy will be converted to kinetic energy as they bounce back up.
The heavy ball will have more kinetic energy than the lighter ball because it has more mass, which means it will bounce higher. The light ball will not bounce as high because it has less kinetic energy than the heavy ball.
This is because kinetic energy is proportional to mass and speed. Since both balls have the same speed, the heavier ball will have more kinetic energy than the lighter ball.
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HELP!!
8. The speed that the car is going at an instant of time is called the (5 points)
average speed
final speed
initial speed
instantaneous speed
Answers
Answer:
the speed that the car is going at an instant of time is called the instantaneous speed.
Hope this helps.
What is the final step in the fourth stage of technological design, after a product has been improved abs approved
Answers
Answer:
Evaluate the solution.
Explanation:
A technological design is designed as the design and study of a solution that can be provided from the solution by identifying the root cause or problem and trying to solve by various means.
A good technological design requires the minimum effort and resources while meeting the requirement of the problem.
The steps involved in the technological design are :
1. search and identify the problem or need.
2. design a solution
3. Implement a solution.
4. Evaluate the solution.
Therefore, the final step or the fourth step in the process of a technological design is " evaluating or communicating the final design solution".
Which component of health-related fitness is developed by performing a wall sit?
A, Body composition
B, Muscular endurance
C, Reaction time
D, Coordination
Answers
Answer:
The answer is Muscular endurance
Explanation:
It is this because your seeing how long your muscles can with stand. I answered by guessing lol.
2. Which of the following will have no effect on the reaction time of a person driving an
automobile?
age
of the driver
b) Distractions in the environment
c) The speed of the automobile
d) Talking on a cell phone while driving
a) The
Answers
Nuclear Fission vs nuclear fusion worksheet answers
Answers
1. Nuclear fission is a process in which a heavy nucleus splits into two or more smaller nuclei.
2. The energy released in nuclear fission is much greater than that released in chemical reactions.
3. Nuclear fission is used to generate electricity in nuclear power plants.
4. Nuclear fission can also be used to create weapons of mass destruction.
Nuclear Fusion:
1. Nuclear fusion is a process in which two or more lighter nuclei combine to form a heavier nucleus.
2. The energy released in nuclear fusion is much greater than that released in nuclear fission.
3. Nuclear fusion is used to power stars, including our own sun.
4. Nuclear fusion is not currently used to generate electricity on Earth, but is being researched as a potential energy source.
The use of which one of the following is the most preferred in a disinfection process for salon implements?
A.
A. autoclave
B.
B. gamma radiation
C.
C. ultraviolet radiation
D.
D. high frequency sound waves
Answers
Among the options given, the use of "autoclave" is the most preferred in a disinfection process for salon implements. Autoclave is a method of sterilizing materials through high-pressure steam.
Autoclaves are the best means of disinfecting salon implements because they kill both bacterial spores and fungi, as well as viruses.An autoclave is used in beauty salons to sterilize items that may have been contaminated with blood, fungi, or bacteria. An autoclave, unlike other forms of sterilization, completely eliminates all types of microorganisms, including viruses and spores, from tools and equipment.
Disinfection is the method of reducing the number of microorganisms on an item to a degree where it is no longer harmful. Bacterial endospores are the most challenging microorganisms to remove or kill. An autoclave is the only method of sterilization that effectively kills all types of bacterial endospores.
An autoclave is the best way to disinfect salon implements since it destroys both bacterial spores and fungi as well as viruses. Sterilization, the process of killing or removing all types of microorganisms, is necessary for beauty salons to guarantee the safety of their customers. Disinfection is the procedure of reducing the number of microorganisms to a point where they are no longer dangerous. Autoclaving is the preferred method of sterilization for salon equipment since it is the only method that can kill bacterial spores.Autoclaves have been used in beauty salons for a long time to sterilize tools and equipment. They are highly effective and have been shown to kill all types of microorganisms, including spores. Autoclaves work by subjecting the objects being sterilized to high-pressure steam. This procedure ensures that all microorganisms are killed and that the objects are safe to use. In conclusion, the use of autoclave is the most preferred in a disinfection process for salon implements because it is the only method that can kill all types of microorganisms, including bacterial spores, fungi, and viruses.
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A golf ball with a speed of 8m/s rebounds at 45 degrees with a speed of 6m/s. What is the magnitude of the ball's change in velocity?
Answers
The magnitude of the ball's change in velocity is approximately 2.2 m/s.
The change in velocity of the golf ball can be calculated using the vector subtraction of the initial velocity vector from the final velocity vector.
Initial velocity = 8 m/s at an angle of 0 degrees (since it is not specified in which direction the ball is traveling)
So, the initial velocity vector can be written as:
vi = 8 m/s [0 degrees]
Final velocity = 6 m/s at an angle of 45 degrees (since it rebounds at 45 degrees)
So, the final velocity vector can be written as:
vf = 6 m/s [45 degrees]
Now, we can calculate the change in velocity vector:
Δv = vf - vi
To do this, we need to resolve the velocity vectors into their x and y components:
vi = (8 cos 0) i + (8 sin 0) j = 8i
vf = (6 cos 45) i + (6 sin 45) j = (6/√2)i + (6/√2)j
Now we can calculate the change in velocity vector as:
Δv = vf - vi = [(6/√2) - 8]i + [(6/√2)]j
To find the magnitude of the change in velocity, we use the Pythagorean theorem:
|Δv| = √[(6/√2 - 8)²+ (6/√2) ²] ≈ 2.2 m/s
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A ball is thrown horizontally at a height of 1.6 metres above the ground, with initialspeed 14 m s^-1a)Find the time of flight of the ball, giving the answer as a fraction.b)Find the range of the ball.
Answers
Given:
The initial height of the ball, h=1.6 m
The initial speed of the ball, u=14 m/s
To find:
a) The time of flight of the ball.
b) The range of the ball.
Explanation:
As the ball is thrown horizontally, the ball will have no vertical component of the initial velocity. The velocity of the ball is completely horizontal.
Thus the vertical component of the initial velocity of the ball is u_y=0 m/s.
The horizontal component of the initial velocity of the ball is u_x=u=14 m/s.
a)
From the equation of motion,
\(h=u_yt+\frac{1}{2}gt^2\)Where g is the acceleration due to gravity and t is the time of flight of the ball.
On substituting the known values,
\(\begin{gathered} 1.6=0+\frac{1}{2}\times9.8\times t^2 \\ \implies t=\sqrt{\frac{2\times1.6}{9.8}} \\ =0.57\text{ s} \end{gathered}\)b)
The range of the ball is given by,
\(R=u_xt\)On substituting the known values,
\(\begin{gathered} R=14\times0.57 \\ =7.98\text{ m} \end{gathered}\)Final answer:
a) The time of flight of the ball is 0.57 s
b) The range of the ball is 7.98 m
7 (a) Smoke particles are introduced into a glass box containing air. Light shines into the box so that, when observed through a microscope, the smoke particles can be seen as bright points of light. Describe the motion of the smoke particles and account for this motion in terms of the air molecules.
Answers
Answer:
smoke particles move in brownian motion (zig -zag motion ) .
Explanation:
this is because air molecules collide against smoke particles hence they attain kinetic energy which keeps them in continuous motion .
The motion of the smoke particles is Brownian motion that is the zigzag motion of the particles that particles move in a random direction.
What is a Brownian Movement?In chemistry, the term "Brownian Movement" refers to the random zigzagging motion of a particle that is typically seen under a high power ultra-microscope. The term "Brownian movement" refers to the exact motion of pollen grains in water, as described by Robert Brown.
More crucially, Albert Einstein eventually clarified the Brownian movement in his study by claiming that water molecules were responsible for moving the pollen. This discovery provided compelling proof that atoms and molecules exist.
According to the question, the reason is that air molecules collide against smoke particles, hence the particles get kinetic energy which keeps them in continuous motion or in zigzag motion.
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Which has the greatest number of hydrogen atoms?
a) 1020 hydrogen atoms
b) 100 g of a substance that is 2% h by mass
c) 100 g of water
d) 20 g of hydrogen gas
Answers
1020 hydrogen atoms has the greatest number of hydrogen atoms
What is hydrogen atoms?An atom of the chemical element hydrogen is known as a hydrogen atom. The Coulomb force holds a single positively charged proton and a single negatively charged electron to the nucleus of the electrically neutral atom. About 75% of the universe's total baryonic mass is made up of atomic hydrogen.
Isolated hydrogen atoms, often known as "atomic hydrogen," are highly uncommon in normal life on Earth. In contrast, a hydrogen atom usually joins forces with other atoms to form compounds or with another hydrogen atom to generate common (diatomic) hydrogen gas, H2. In everyday English, the terms "atomic hydrogen" and "hydrogen atom" have similar but distinct meanings. A water molecule, for instance, has two hydrogen atoms but no atomic hydrogen (which would refer to isolated hydrogen atoms).
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What fraction of chlorine-36 remains UN-decayed after 800,000 years?
Answers
Select all of the following that are true about meiosis.-creates four haploid cells from one diploid cell-produces gametes with half the number of chromosomes as compared to somatic cells-includes two cell divisions
Answers
The statements that are true about meiosis include:
creates four haploid cells from one diploid cellproduces gametes with half the number of chromosomes as compared to somatic cellsincludes two cell divisions.What is meiosis?Meiosis is a type of cell division that occurs in sexually reproducing organisms. It involves two rounds of cell division, resulting in the production of four haploid cells from one diploid cell.
This is accomplished through a series of stages including prophase I, metaphase I, anaphase I, telophase I, and cytokinesis, followed by prophase II, metaphase II, anaphase II, telophase II, and cytokinesis.
Meiosis results in the production of gametes, such as sperm and egg cells, each with half the number of chromosomes as compared to somatic cells.
This ensures that when two gametes combine during fertilization, the resulting zygote has the correct number of chromosomes.
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Two magnets are placed near each other on a space station orbiting Earth.
Their north poles are facing each other. Which statement explains what will
happen to the magnets?
O A. They will be repelled because they are in each other's magnetic
field.
B. They will not move because they have only half of a magnetic
field.
C. They will not move because they have very small gravitational
fields.
D. They will be attracted because their electric fields will add
together
Answers
Answer: A. They will be repelled because they are in each other's magnetic
field.
Explanation: Apex and gravity and electrical don't have effect on magnets magnetic field.
The statement that described the happening to the magnets should be that they will be attracted because they are in each other's magnetic.
What is a magnet?Magnet refers to the piece of iron or other material that comprise of the atoms also it inbuilt the magnetism properties like attraction of other type of iron objects. In the case when the two magnets shoud be placed near to each other also their north poles should be faced each other so it should be attracted since it is considered as the each other magnetic.
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calculate the total resistance of a circuit where a fan of 2 ohms and 4 lights 1 ohm each are all connected in parallel
Answers
The total resistance of a circuit where a fan of 2 ohms and 4 lights 1 ohm each are all connected in parallel is 2/9 ohms.
1: Find the reciprocal of the resistance of each component.
Reciprocal of the fan's resistance: 1/2 ohms
Reciprocal of each light's resistance: 1/1 ohms (for each light)
2: Add the reciprocals of all the resistances together.
Total reciprocal of resistances = (1/2) + (1/1) + (1/1) + (1/1) + (1/1)
3: Simplify the equation.
Total reciprocal of resistances = (1/2) + 4(1/1) = (1/2) + 4 = 9/2
4: Find the reciprocal of the total reciprocal of resistances to find the total resistance.
Total resistance = 1/(9/2) = 2/9 ohms
So, the total resistance of the circuit with a 2-ohm fan and four 1-ohm lights connected in parallel is 2/9 ohms.
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the circuit is protected by a ground fault interrupter in the plug. the water in the tank is grounded. the two bare wires correspond to the two pins on the ground fault interrupter plug. if the __________ wire is touched to the water, the ground fault interrupter will disconnect the circuit.
Answers
The two bare wires line up with the ground fault interrupter plug's two pins. The ground fault interrupter will off the power if the hot wire comes into contact with water, the ground fault interrupter will disconnect the circuit.
GFCI or a GFI This gadget safeguards against electric shocks caused by malfunctions in household electric appliances. Comparing the current on the input side, which displays the hot side, to the current on the exterior, which displays the neutral side, would accomplish the desired result.In the scenario when the hot wire provides a 120 VAC current source, the neutral wire provides the hot wire's return path.
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Why is electrical energy considered as potential energy as its the energy of moving electrons?
Answers
Answer:
Explanation: When the electrons move in another direction, they convert this chemical potential energy to electricity in the circuit, thus discharging the battery. So, the battery is all potential energy.
Answer:
because when it is in the electrical state it isn't really doing much. like a battery. it isn't making light, heat, sound, our movement. thus it is potential energy. like a compressed spring its holding energy ready to be used but it is not using it. hope that helped you.
in an alternating current circuit that contains a resistor a inductor and a capacitor with 120v how do you find current
Answers
In an alternating current circuit that contains a resistor, an inductor, and a capacitor with 120V, you can find the current by using Ohm's Law.
Ohm's Law states that the current is equal to the voltage divided by the resistance.
To calculate the resistance in an alternating current circuit, you must take into account the resistor, inductor, and capacitor.
For example, if the resistor has a resistance of 10 ohms, the inductor has a resistance of 5 ohms, and the capacitor has a resistance of 20 ohms, then the total resistance would be 35 ohms.
Therefore, the current in the circuit would be 120V/35 ohms = 3.43A.
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Solids in which the atoms have no particular order or pattern are called
Answers
Answer:
Amorphous solids are composed of atoms or molecules that are in no particular order. Each particle is in a particular spot, but the particles are in no organized pattern. Examples include rubber and wax. Crystalline solids have a very orderly, three-dimensional arrangement of atoms or molecules
Explanation:
A merry go round at the park is spinning. You stand on the outer edge and are traveling at constant speed of 5 m/s. You walk halfway toward the center. What happened to your acceleration?
Answers
Answer:
a' = 2a
Explanation:
The acceleration during this circular motion is the centripetal acceleration. Initially, the acceleration will be given as:
a = v²/r --------------------- equation (1)
Where,
a = centripetal acceleration at outer edge
v = speed of merry go round = 5 m/s
r = distance from center of round to person (outer edge)
Now, when the person moves half way towards center. Then, the acceleration becomes:
a' = v²/r'
where,
r' = r/2
Therefore,
a' = v²/(r/2)
a' = 2v²/r
using equation (1):
a' = 2a
Atoms are known to form charges due to their ability to gain and lose electrons in reactions. As a result, atoms
become ions that are positively or negatively charged depending on the loss or gain of electrons. Which of the
following atoms has a charge of +2 given the number of electrons?
O A. O: 10 electrons
OB. N: 10 electrons
O C. Fe: 24 electrons
OD. Cl: 18 electrons
Answers
Answer:
C. Fe: 24 electrons
Explanation:
From the analogy given, the atom with a charge of +2 is Fe having 24 electrons.
To calculate the charges on an atom;
Number of charges = Number of protons - Number of electrons.
O: 10 electrons: 8 protons = 8 - 10 = -2
N: 10 electrons; 7 protons = 7 - 10 = -3
Cl: 18 electrons; 17 protons = 17 - 18 = -1
So;
Fe: 24 electrons and 26 protons = 26 -24 = +2
Therefore, the solution is Fe
Calculating Force ^F=? air Fballoon=-3 N The action force is the balloon pushing the air out. What is the magnitude of the reaction force of the air pushing on the balloon? IN.
Answers
According to Newton's third law of motion, the reaction force exerted by the air on the balloon is equal in magnitude but opposite in direction to the action force exerted by the balloon on the air.
Given that the magnitude of the action force (F_balloon) is -3 N, the magnitude of the reaction force (F_air) will also be 3 N. The negative sign indicates that the forces are in opposite directions, but when considering magnitudes, we ignore the negative sign.
Therefore, the magnitude of the reaction force of the air pushing on the balloon is 3 N.
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Hello I need help with this science problem
A= N=
Answers
Answer:
charge of the atom = -1
charge of the nucleus = 4
calculate the time taken to raise the temperature of 1.5 kg of water in a kettle from 15°C to 100°C given that specific heat capacity of water is 4200 J/kg/K and the heater is rated 250V , 2kW
Answers
Answer:
270 s or 4.5 min
Explanation:
First find the amount of heat needed:
q = mCΔT
q = (1.5 kg) (4200 J/kg/K) (100 − 15) K
q = 535,500 J
q = 535.5 kJ
Power is energy per time.
P = E / t
2 kW = 535.5 kJ / t
t = 270 s