The riders make 15.09 rev/min when they are subjected to a centripetal acceleration 1.65 times that due to gravity.
Given that,
Radius of circular path = 6.5 m
Let ω be the angular velocity of ride
Centripetal acceleration is given by ω²r
which should be equal to gravity 1.65* (g)
ω²r = 1.65* g
ω² = (1.65* g)/r
ω = √(1.65* g/r) = √(1.65* 9.81/ 6.5) = 1.58 rad/sec
We know that, 1 rad/sec = 9.55 rev/min
So, converting rad/sec to rev/min we have,
ω = 1.58* 9.55 = 15.09 rev/min
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. One end of a uniform wire of length Land of weight Wis attached rigidly to a point in the roof and a weight Wis suspended form its lower end. If 'S' is the area of cross- section of the wire, then find the stress in the wire at height (3L/4) from its lower end ? 1) 3) w₁ +(3w/4) 1 S W₁ + W 4 2) 4) w+(3w₁/4) S 3w₁ + (w/4) S
To find the stress in the wire at a height of 3L/4 from its lower end, we need to calculate the force acting on the wire at that point. The force on the wire is equal to the weight of the wire itself and the weight of the object suspended from it. Therefore, non of the option is correct.
How is Stress calculated?The weight of the wire is given by the equation: W = gL, where g is the acceleration due to gravity and L is the length of the wire.
The weight of the object suspended from the wire is given by the equation: W1 = gL1, where L1 is the distance from the point of attachment to the object.
Therefore, the total force acting on the wire at a height of 3L/4 from its lower end is:
F = W + W1 = gL + g(L - 3L/4) = gL + 3gL/4 - 3gL/4 = gL
The stress in the wire is given by the equation: stress = F/S, where S is the cross-sectional area of the wire.
Substituting the values for F and S, we get:
stress = (gL)/S
Therefore, the stress in the wire at a height of 3L/4 from its lower end is (gL)/S.
None of the given options match this result, so the correct answer is not among the choices provided.
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an l-c circuit consists of a 65.0 mh inductor and a 300 μf capacitor. the initial charge on the capacitor is 6.50 μc, and the initial current in the inductor is zero.
a. What is the maximum voltage across the capacitor?
b. What is the maximum current in the inductor?
c. What is the maximum energy stored in the inductor?
d. When the current in the inductor has half its maximum value, what is the charge on the capacitor?
e. When the current in the inductor has half its maximum value, what is the energy stored in the inductor?
The maximum voltage across the capacitor is 2.1 * 10⁻² V and the initial energy in the capacitor is 7.042 * 10⁻⁶ J.
In the L-C oscillation, energy is transferred between capacitor and inductor with a certain periodicity.
Given that, Inductance L = 65 * 10⁻³ h
Capacitance C = 300 * 10⁻⁴ F
Initial charge q = 6.5 * 10⁻⁴ C
We know that,
1/2 q²/C + 1/2 L² = 1/2 C* v₀²
From the above equation, we can write v₀ = q/C
Substituting the values in the above equation, we get
v₀ = q/C = (6.5 * 10⁻⁴) / (300 * 10⁻⁴) = 0.021 V = 2.1 * 10⁻² V
The formula to calculate initial energy in the capacitor is 1/2* q²/C
where q is charge and C is capacitance
E = 1/2 * q²/C = (6.5 * 10⁻⁴)²/ 2 * (300 * 10⁻⁴)
⇒ (42.25 * 10⁻⁸)/ (6 * 10⁻²)
⇒ 7.042 * 10⁻⁶ J
Thus, maximum voltage across the capacitor is 2.1 * 10⁻² V and the initial energy in the capacitor is 7.042 * 10⁻⁶ J.
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A copper wire with a length of 50cm conducts a current of 1.5 A perpendicular to a magnetic field of 0.5 T What is the Magnetic Force acting on the wire
A copper wire with a length of 50cm conducts a current of 1.5 A and perpendicular to a magnetic field of 0.5 T, then the magnetic force acting on the wire is calculated as 0.375 N.
What do you understand by magnetic force?Magnetic force is a consequence of the electromagnetic force which is one of the four fundamental forces of nature, and it is caused by the motion of charges.
Given : B=0.5T L=50 cm =0.5m I=1.5A
As we know that the copper wire is perpendicular to the magnetic field, therefore angle will be 90 degree
∴ We use the formula, F = I*L*B*sin(theta)
= 1.5 * 0.5 * 0.5 sin(90°)
So, Magnetic force = 0.375 N
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an electron is accelerated toward a target. find the minimum accelerating potential difference (magnitude) that would
The minimum accelerating potential difference (magnitude) that would be required will be 62 kV.
Can electrons be accelerated?Charged particles, such protons or electrons, are accelerated by particle accelerators to almost the speed of light. They then strike a target or additional particles with those fragments. According to Albert Einstein's special theory of relativity, the relativity of time prevents electrons from going faster than the speed of light when deciding whether they can do so.
How to solve the given question?Given, wavelength (λ) = 0.0220 nm = 0.22×10∧-10 m = 0.22 A°
λ = hc/eV
V = 12400/λ
V = 12400/0.22
V = 62000 V
V = 62 kV
The minimum accelerating potential difference (magnitude) that would be required to produce kV will be 62 kV.
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The complete question is,
An electron is accelerated toward a target. Find the minimum accelerating potential difference (magnitude) that would be required to produce kV. Assume the electron is initially at rest before accelerating toward the target.) wavelength of 0.0220 nm when the electron strikes the target. (Enter your answer in an x-ray with a kV.
what is the current in a circuit if the voltage applied to a load is 492 volts? the connected load contains two series-connected resistive heating elements that are each rated for 2.8 kw at 250 volts.
The current in a circuit if the voltage applied to a load is 492 volts is 5.52 A.
Current is the rate of flow of electric charge around an electrical circuit. It is measured in amperes (A). Current can be calculated by dividing the voltage (V) by the resistance (R) of a circuit, according to the formula I = V/R.
Calculate the total resistance of the two series-connected resistive heating elements:
R = (250 V) / (2.8 kW) = 89.29 Ω
Calculate the current in the circuit using Ohm's Law:
I = (V) / (R) = (492 V) / (89.29 Ω) = 5.52 A
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objects such as the great nebula in andromeda were once called extragalactic nebulae. it is now realized that they are actually
Objects such as the great nebula in andromeda were once called extragalactic nebulae. it is now realized that other galaxies much like our own.
What is nebula?A nebula is a distinctively luminous region of the interstellar medium, which may be made up of cosmic dust, neutral, neutrally ionised, or molecular hydrogen. Nebulae are frequently areas where stars are being formed, as seen in the Eagle Nebula's "Pillars of Creation."
The gas, dust, and other material formations in these areas "clump" together to form denser regions, which draw in more matter and finally reach a density where stars can form. Planets and other planetary system objects are then supposed to be formed from the leftover material.
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calculate the refractive index of an optical medium if light travels inside the medium at 2.5 x 10^8 m/s inside the medium.
If light moves through an optical medium at a speed of 2.5 x 108 m/s, the media's refractive index is 1.2.
The material's refractive index (n) may be defined as -
Refractive Index (n) = Light's speed in a vacuum (C) divided by its light speed in a medium (V)
Therefore, n = C/V
Given that the speed of light in the medium is V=2.5×10⁻⁸m/s
and the speed of light in the vacuum is C=3.0×10⁻⁸m/s
Therefore, the equation gives us n = C/V
n=3.0×10⁻⁸m/s÷2.5×10⁻⁸m/s,
which equals n=1.2 (Refractive index of the medium).
Refractive index: The refractive index, sometimes called the refraction index in optics, is a dimensionless quantity that describes how efficiently an optical material bends light.
Light: light is the organic substance that activates vision and makes things visible
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Radio waves travel at a speed of 300,000,000 m/s. WFNX broadcasts radio waves at a frequency of 101,700,000 Hz. What is the wavelength of WFNX’z radio waves?
The wavelength of WFNX’s radio waves with the given speed and frequency is 2.95m.
What is wavelentgh?Wavelength can be defined as the distance between two successive crests or throughs of a wave.
The wavelength of WFNX’s radio waves with the given speed and frequency is 2.95m.
Given data in the question;
Speed of wave; c= 3×10^8
Frequency of wave; 1.017×10^8
wavelength; ?
To determine the wavelength of the radio wave, we use the expression for the relations between wavelength, frequency and speed.
C\f
Where is wavelength, f is frequency and c is the speed.
We substitute our given values into the equation
=2.95
Therefore, the wavelength of WFNX’s radio waves with the given speed and frequency is 2.95m.
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Why is the milky way galaxy not expanding together with the rest of the universe?.
What is the force of gravity between the earth and the sun?
Answer: approximately 3.54x10 22 N
Explanation:
Can you guys help me explain why Lisa from the amplify 6th grade science doesn't have anemia? Please provide evidence from the article. It can be located in the library on amplify, and explain how molecules move through the body when someone has anemia, and compare that to elisa's test results. This can be located in Amplify Microbiome lesson 2.7. Please yalll helpp
You will learn about the requirements for each system and cell in your body as we go along by using the anemia metabolism simulation.
What are anemia's three main causes?Blood's red color is due to the iron-rich protein known as hemoglobin. From the lungs, it transports oxygen to the rest of the body. Blood loss, a lack of red blood cell formation, and excessive red blood cell breakdown rates are the three basic causes of anemia.
What occurs when someone has anemia?When you have anemia, your body doesn't produce enough strong red blood cells to supply enough oxygen to the tissues. You may experience fatigue and weakness if you have anemia, commonly known as low hemoglobin.
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The scientist changed the temperature each time he cooked an egg. The temperature change is the...
manipulated/independent variable
responding/dependent variable
Answer: Independent variable
Explanation: i think
By what factor does the car's kinetic energy increase if its speed is doubled to 32 m/s ?.
The kinetic energy multiplies by four times.
Describe energy.Energy is the quantitative quality that, in physics, is transmitted to a physical body or system. Both heat and light are manifestations of energy, as well as how labor is carried out. According to the law of conservation of energy, energy is a resource that can never run out and can only be transformed from one form to another. The joule is the unit used by the SI (International System of Units) to measure energy. The kinetic energy of moving objects, the potential energy of stationary objects, the elastic energy of stationary objects, the chemical energy associated with chemical processes, and many other types of energy are common.
We know, kinetic energy, KE₁ = 1/2.m.v²
When v gets doubled, so
then kinetic energy,
KE₂ = 1/2.m.(2v)²
KE₂= 1/2.m.4v²
KE₂ = 4KE₁
As a result, kinetic energy multiplies by four.
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during an extreme emergency, your body must make sure it is in the correct mode to save your life. what modes?
During an extreme emergency, our body must be in fight or flight mode. There are three stages of stress response during an emergency. They are alarm, resistance, and fatigue.
Alarm is the first stage among the 3 stages in the stress response system. In alarm stage, the body and mind go on high alert. It is sometimes called the "fight or flight response". It prepares the body to either go for defending itself or to flee from a threat.
When you perceive a situation or event to be a threat, your body begins a stress response. The nervous system and the endocrine system are active during the body's response to stressors. This response is involuntary or automatic and happen in three stages.
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A book of mass 800 g is pushed off of a shelf with a force of 20 N. Given that the book falls with an initial velocity of 2 m/s, calculate the time of contact between the book and the hand pushing it.
Answer:
F = Δp / Δt ⇒ t = Δp / F (To get the time of contact, we divide the change in momentum by the applied force)
Since the book was stationary before we pushed it, the initial momentum is 0. Hence the change in momentum will just be the value of the final momentum.
Δp = mv
t = mv / F = (0.8 kg * 2 m/s) / 20 N = 0.08 s
Explanation:
Repond to the following baed on your reading. Compare and contrat the characteritic of metal and nonmetal. Decribe the electrochemical erie and why it’ important in undertanding metal. Decribe the theory of ionization in regard to acid and bae. Identify the role of indicator
The claim that metals are superior to non-metals in terms of heat and electrical conductivity is true.
What does the term "electrochemical" mean?Electrochemistry is the study of chemical processes that move electrons. It deals with the interactions between electromagnetic oil and power transformation. Example: The investigation of electrochemical cells is a part of electrochemistry. It involves cells that convert energy into electrical energy.
What use does electrochemistry serve?Electrochemistry has many common applications in daily life. All sorts are batteries, among them those that power lamps, calculators, and automobiles, primarily generate electricity through biochemical reactions. Plating objects with decorative metals like gold or chromium requires electricity.
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In the column, the red (water) substance has a _____________ density than the black (corn syrup) substance. 18 points
In the column, the red (water) substance has a less density than the black (corn syrup) substance.
Explain what density is.The measure of how densely a material is packed together is called density. As the mass per unit volume, it has that definition. Density Numeral: D or The density is calculated using the following formula: = m/V, where m is the object's mass and V is its volume.
The relationship between a substance's mass and the amount of space it occupies is known as its density (volume). The density of a substance is determined by the mass, size, and arrangement of its atoms. Density is calculated by dividing a substance's mass by its volume.
From the image, you can see that the black section is thicker and the red is a little bit light.
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Electric car are about to dramatically change tranportation. What change can you think of
Answer:
I think that the whole economy will change due to the fact that gas will not be used as much as before and the fact that many people will lose their jobs, people like gas pump attendantsattenents, gas companys and many more.
Explanation:
A 24 kg crate is moving at a constant speed because it is being pushed with a force of 53n. What would be the coefficient of kinetic friction between the crate and the floor?
Answer:
The coefficient of kinetic friction between the crate and the floor can be calculated using the formula μ = Ff / N, where Ff is the frictional force, N is the normal force, and μ is the coefficient of kinetic friction.
In this case, the normal force is equal to the weight of the crate, which is 24 kg * 9.8 m/s2 = 235.2 N. The frictional force can be calculated using the formula Ff = μ * N, where μ is the coefficient of kinetic friction and N is the normal force.
If we substitute the values for N and Ff into the formula for the coefficient of kinetic friction, we get:μ = 53 N / 235.2 N = 0.225
Therefore, the coefficient of kinetic friction between the crate and the floor is 0.225.
What happens to the ball when you put a backspin on the ball and the opponent hits it forward with a neutral or flat angle? -A. It returns with a topspin
B. It goes into the net
Or c:It flies high to the back of the table.
Answer: tbh I think it’s C I did research and says similar about it
Explanation:
( this is science but there’s no subject for that so ) Q: Was there work done? Describe the energy in the situation as well.
2. Answer the questions for this block.
3. Answer the questions for this block
The work done by force is negative in the first scenario because the force and displacement are acting in the opposing directions. As the force and displacement are perpendicular in the second condition, there is no work done.
What exactly is a physics "work done"?
The product of a force's component acting in the displacement's vector and its magnitude is known as the work done by the force. Formula. The following formula may be used to calculate work by multiplying force and distance in the direction of the force. Unit: W = F d.
What exactly is a work example?
The following situations include work: relocating a table. a door is pulled and pushed. Walking. raising a stone.
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5 benefits of muscular strength training
Answer:
1/ Better Health
2/ Reduce injury posibility
3/ Increase energy level when exercising
4/ Bigger muscle
5/ Prevent disease
Explanation: The training helps you get the five benefits above. There is more benefit, but I think the five above are the most important!
the axis on which earth now rotates is tilted at an angle. if the axis was to be changed so that it was perfectly upright, which change would be expected on earth?
There wouldn't be any light and dark phases if the axis were adjusted so that it was absolutely upright. Since winter will usually prevail in the Southern Hemisphere, this alteration would not be unexpected on Earth.
What is an angle?In planar geometry, an angle is a shape made up of two rays or lines that share an endpoint. The common terminal of two rays is known as the vertex, and the two rays are referred to as sides of an angle. The Latin word "angulus," which means "corner," is the basis of the English name "angle." In Euclidean geometry, an angle is a shape composed of two rays, referred to as the angle's sides and vertices, respectively, and having a common terminus. Two rays can form angles in the plane where they are positioned.
What is the measure of an angle ?One can measure and calculate angles in terms of degrees with a protractor. The black arrow in the figure below, for instance, uses a protractor to point to 100°, crossing 90°. Consequently, the angle has a size of 100°.
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A vehicle travels at constant speed of 6.0 m/s around a horizontal circular curve with a radius of 24
meters. The mass of the vehicle is 4400 kg. An icy patch is located at P on the curve. What is the
magnitude of the frictional force that keeps the vehicle on it's circular path?
Answer:
6600 N
Explanation:
[tex]F=\frac{mv^{2} }{r} \\\\F=\frac{4400*6^{2} }{24}\\ \\F=6600 N[/tex]
the milky way galaxy is approximately 100,000 light-years across while the solar system is 1.9 light-years across. what is the scale ratio of the size of the solar system to the galaxy?
The Galaxy Milky Way is 100 million times bigger than the solar planetary System. Hence, on a 1-to-10 billion scale, The Galaxy Milky Way is about 100,000 light-years across while the solar system is 1.9 light-years across.
The Solar Planetary System is a system that is gravitationally bound. It includes the Sun and the planets that orbit it directly or indirectly. The biggest of the objects that orbit the Sun directly are the 8 planets, with the dwarf planets and small Solar System bodies making up the most. Natural satellites orbit the Sun indirectly. Since it lacks a definite limit, determining the extent of the Solar planetary System is difficult. The size of the solar system is [tex]10^{10}[/tex] km.
A galaxy is a gravitationally bound set of stars, dust, and hydrogen. Galaxies can be seen all over the world, and their sizes differ tremendously. Supermassive black holes are believed to exist at the cores of almost all large galaxies. Lenticular galaxies, irregular galaxies, Spiral galaxies, and elliptical galaxies are the four primary groups of galaxies. The size of a galaxy is [tex]10^{18}[/tex] km.
The result obtained by comparing Milky Way's size to the Solar planetary System is, the Galaxy Milky Way is 100 million times bigger than the solar planetary System.
It is calculated by:
Size of a galaxy= 1,000,000,000,000,000,000 ([tex]10^{18}[/tex] ) km
Solar planetary system’s Size = 10,000,000,000 ([tex]10^{10}[/tex] ) km
Thus,
([tex]10^{18}[/tex] km / [tex]10^{10}[/tex] km) = [tex]10^{8}[/tex]
Hence,
The Galaxy Milky Way is 100 million times bigger than the solar planetary System. Hence, on a 1-to-10 billion scale, The Galaxy Milky Way is about 100,000 light-years across while the solar system is 1.9 light-years across.
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does the pivot point (i.e., the triangle in the diagram upon which the ruler balances) exert a force on the ruler? does it exert a nonzero torque about the pivot?
Yes, the pivot point (i.e., the triangle in the diagram upon which the ruler balances) exert a force on the ruler. No, it does not exert a nonzero torque about the pivot.
What is meant by a pivot point?Pivot point is that point where an object rotates around. Sometimes, it is called the fulcrum or rotational axis.
A lever has a rigid bar that is able to pivot at one point and this point of rotation is known as the fulcrum. Force is applied at some point away from the fulcrum.
Torque is a measure of how much force acting on the object causes that object to rotate. The object rotates about an axis, which is called as the pivot point.
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Suppose one rollercoaster car has two people riding in it, while a second car has four people riding in it. Assume all the people have approximately the same mass. Which car has a greater gravitational force acting on it? Why?
So, the only forces acting on the riders are the normal force and the force of gravity (the force of the seat pushing up on the rider). While the normal force is always pointed perpendicular to the automobile seat.
What does gravitational force depend on?The size of this force is determined by the mass of the each item and the separation of their centers. According to mathematics, the gravity's force is proportional to the square of the distance between both the objects and directly related to the masses of the items.
What influences the gravitational field?There are just two factors that matter when discussing the gravitational force between two objects: mass and distance. The squared of the distance of two things has an inverse relationship with the force of gravity, which relies directly on the mass of the two items.
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A large, moving truck crashes into a small parked car. How do the magnitudes of the impulses and theforces on each vehicle compare during the collision?
A. The truck experiences less force and less impulse.
B. The truck experiences equal force and equal impulse.
C. The truck experiences less force but more impulse.
D. The truck experiences more force but less impulse.
A large, moving truck crashes into a small parked car. How do the magnitudes of the impulses and the forces on each vehicle compare during the collision: A The truck receives more force but less impulse.
In physics, value is defined really as “distance or amount.” It depicts absolutely the relative course or length wherein an item actions within the experience of movement. it's far used to specify the scale or scope of something. In physics, value commonly refers to distance or quantity.
Magnitudes are the scale of something. for example, in the case of speed, a vehicle is moving faster than a bike. in this instance, the importance of the speed of the auto is higher than that of the bike. It tells the route or size that is absolute or relative in which an item travels in the experience of motion.
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when a tandem axle truck is equipped with a 6s/4m split configuration, how are the brakes on the drive axles modulated during abs braking?
Each of the vehicle's six wheels would have a wheel speed sensor, but there would only be four modulators in the six-in/four-out system.
What does an ABS brake do?Anti-lock braking systems (ABS) help you manoeuvre in an emergency by restoring traction to your tyres. What It Does: Assists in stopping wheel locking so that the driver may steer to safety. What It Isn't Able To Do The stopping distance might not be lowered, and it's okay if the pedal wobbles or pushes back.
Does ABS affect braking and its disadvantages?By keeping the brakes from locking, ABS gives the driver better steering control while braking. ABS rarely activates, unless you reside in a state with lots of snow and ice. It groans and rattles when it does. Many motorists claim that they feel as though their brakes had failed.
The main drawback of ABS brakes is the additional expense that it adds to the base price of a vehicle. Additionally, maintenance expenses increase since each wheel's pricey sensors might be expensive to replace if they become out of calibration. Anti-lock brakes' primary function is to offer sure-footed braking.
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a 0.1 kg arrow is shot at 120 m/s, a 4 kg cannonball is fired at 50 m/s, and a 1.2 kg model rocket launches with a velocity of 75 m/s. determine which has the greatest momentum.
The cannonball has the greatest Momentum among all.
The momentum of any body is defined as the product of its mass and its velocity.
Momentum = Mass × velocity
It is given that the mass of the arrow is 0.1 kg and it is short with a speed of 120m/s and the Cannonball has a mass of 4 kg and it is fired with the speed of 50m/s and a model Rocket is launched at a speed of 75m/s which has a mass of 1.2 kg.
From the standard relation of the momentum we can find the momentum of the arrow, cannonball and the rocket as,
Momentum of Arrow = 0.1 × 120
= 12 kgm/s.
Momentum of cannonball = 4 × 50
= 200 kgm/s.
Momentum of model Rocket = 1.2 × 75
= 90 kgm/s.
The cannonball has the greatest momentum.
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