a car accelerates uniformly from rest and reaches a speed of 22.5 m/s in 8.95 s. (a) if the diameter of a tire is 58.6 cm, find the number of revolutions the tire makes during this motion, assuming that no slipping occurs. (b) what is the final angular speed of a tire in revolutions per second?

Answers

Answer 1

The number of revolutions the tire makes during this motion, assuming that no slipping occurs is 54 and the final angular speed of a tire in revolutions per second is 12.2 revolutions per second.

Given Data

Initial speed (u) = 0, Final speed (v) = 22.5 m/s, Time (t) = 8.95 s, Diameter of tire (d) = 58.6 cm = 0.586 m, Radius of tire (r) = d/2 = 0.293 m(a)

Number of revolutions the tire makes during this motion: The circumference of the tire is given as:

Circumference = πd = 3.14 x 0.586 = 1.84 m

Since there is no slipping, the distance covered by the car in 8.95 s is given by: d = ut + 1/2 at²,

Where acceleration (a) = (v - u)/t = 22.5/8.95 = 2.51 m/s²

Therefore, d = 0 x 8.95 + 1/2 x 2.51 x (8.95)² = 100 m

The number of revolutions of the tire during the motion can be given by the ratio of the distance covered by the circumference of the tire.

Revolutions = Distance covered/Circumference = 100/1.84 = 54.35 or 54 revolutions (approx.)

(b) The final angular speed of a tire in revolutions per second:

We can use the following formula to find the angular speed of the tire:

v = ωr

Where, v = final velocity, ω = angular velocity, and r = radius of the tire

So, ω = v/r = 22.5/0.293 = 76.8 rad/s

Number of revolutions per second = 76.8/2π = 12.23 or 12.2 revolutions per second (approx.)

Thus, the number of revolutions the tire makes during this motion, assuming that no slipping occurs is 54 and the final angular speed of a tire in revolutions per second is 12.2 revolutions per second.

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Related Questions

This 200 mL bottle of cooking oil weighs 174 g. Calculate the
density of the oil.

Answers

Answer:

Density is calculated by dividing the mass of a substance by its volume. In this case, the mass of the cooking oil is 174 g and its volume is 200 mL (or 0.2 L). So the density of the oil can be calculated as follows:

Density = Mass / Volume Density = 174 g / 0.2 L Density = 870 g/L

So the density of the cooking oil is approximately 870 g/L.

A boat is sailing east at 7 mph. if the wind is blowing northwest at 10 mph, What is the resultant and direction of the boat?

Answers

Answer:

To solve this problem, we can use vector addition. We can represent the velocity of the boat as a vector pointing east with magnitude 7 mph, and the velocity of the wind as a vector pointing northwest with magnitude 10 mph.

To add these two vectors, we can break the wind velocity vector into its x and y components, using trigonometry. Since the vector is pointing northwest, we know that it makes a 45 degree angle with both the x and y axes. Therefore, the x component is:

10 mph * cos(45) = 7.07 mph

and the y component is:

10 mph * sin(45) = 7.07 mph

Now we can add the x component of the wind velocity vector to the velocity of the boat, since they are both pointing in the same direction (east):

7 mph + 7.07 mph = 14.07 mph

The y component of the wind velocity vector is pointing north, while the velocity of the boat is pointing east, so we cannot simply add them. Instead, we can use the Pythagorean theorem to find the magnitude of the resultant vector:

sqrt(14.07^2 + 7.07^2) = 15.78 mph

The direction of the resultant vector can be found using trigonometry. The angle between the resultant vector and the east direction is:

tan^-1(7.07/14.07) = 26.56 degrees

Therefore, the boat is sailing at a speed of 15.78 mph in a direction that is 26.56 degrees north of east.

Explanation:

consider the resonant m-values for the systems we are studying. what are the possible resonant values m can take for a system with asymmetric boundary conditions?

Answers

The possible resonant values m can take for a system with asymmetric boundary conditions are given below:

Asymmetric boundary conditions, such as a string fixed at one end and free at the other end, have resonant m-values that are odd integers (1, 3, 5, etc.). The first resonant frequency occurs when the length of the string is equal to half the wavelength of the standing wave.

The resonant frequencies of a string with asymmetric boundary conditions, such as a string fixed at one end and free at the other, are all odd harmonics of the fundamental frequency (1f, 3f, 5f, etc.). Standing waves have antinodes at the open end of the string and nodes at the fixed end, resulting in odd harmonics.

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a spring with spring constant 2.5×104 n/m has a 1.4-kg cart at its end. part a if its amplitude of vibration is 0.030 m, what is the total energy of the cart spring system?

Answers

Total energy of the cart-spring system is 11.25 Joules.

A more detailed explanation of the answer.

The total energy of the cart-spring system with a spring constant of 2.5×10⁴ N/m, a 1.4-kg cart, and an amplitude of vibration of 0.030 m calculated using the formula for the potential energy stored in a spring:

PE = (1/2) * k * x²

where k is the spring constant (2.5×10⁴ N/m) and x is the amplitude of vibration (0.030 m).

Step 1: Put the values into the formula given
PE = (1/2) * (2.5×10⁴ N/m) * (0.030 m)²

Step 2: Calculate the potential energy
PE = 0.5 * (2.5×10⁴ N/m) * (0.0009 m²)
PE = 11.25 J (Joules)

Since the system is oscillating and there is no external force or damping, the total energy of the cart-spring system will be constant and equal to the potential energy calculated. Total energy of the cart-spring system calculated is 11.25 Joules.

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What is the specific heat of the masses in this experiment? Infer the substance the masses are made of and explain your inference using your data as support. Based on your calculation of the metal's specific heat, what is the metal?

water mass: 189 g

I followed the procedure (put water in calorimeter > measure temperature; boil some water > insert mass for 1 minute > take mass from boiling plate > insert into calorimeter > put lid on calorimeter and stir until equilibrium temperature is reached > record temperature) and I get different specific heats for each mass, but I have no idea why.

Answers

Aluminum is the metal with a specific heat capacity that is most similar to the measured value.

Definition of specific heat capacity

The amount of heat needed to increase a unit mass of a substance's temperature by one kelvin is known as the object's specific heat capacity.

Where c is the specific heat capacity and is the change in temperature, Q = mC

For this initial test, set the mass of the metal at 50 g and the mass of the water at 50 g.

It is determined how much heat the water absorbs.

Q = 50 x 4.184 x 8.4 Q = 1757.28J

For the initial test, the metal's specific heat capacity is determined as follows;

Heat from water is equal to heat from metal.

C = Q/m Δθ

17.57.28/50x8.4 C equals 4.184 J/goC.

For the second test, the metal's specific heat capacity was 200 g for 200 g of water.

C2 is equal to 1757.28/150x15.2 and 0.77 J/goC.

The metal's third trial's specific heat capacity is C3 = 1757.28/250x20.8 C3 = 0.34 J/goC.

Fourth trial specific heat capacity of the metal: C4 = 1757.28/350x25.4 C4 = 0.19 J/goC

For the sixth test, the metal's specific heat capacity was 1757.28/450x29.6 C5, or 0.13 J/goC.

C = 1.12 J/goC, the average specific heat capacity

Aluminum is a metal with a specific heat capacity that is comparable to the figure shown above.

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Where is the north magnetic pole of this current loop? A_ Top side. B. Bottom side. C. Right side. D. Left side. E. Current loops don't have north poles

Answers

The clock face rule can be used to determine this magnet's polarity. Each face of a loop will display the North Pole if indeed the current is running anticlockwise. The South Pole is visible on the loop's face.

Correct option is, E.

Where is the magnetic north pole?

This dipole establishes an axis that splits the surface of the Earth into two geomagnetic poles, which are antipodal points. Its magnetic north pole is located at 72.68°W longitude with 80.65°N latitude, or the magnetic south pole is located at 107.32°E longitude or 80.65°S latitude, according to the WMM2020 coefficients in 2020.0.

Where are the south and north poles located in a circle?

In the plane of a table inside the loop, the magnetic field is directed perpendicularly downward; beyond the loop, it is directed outward. The north pole is on the plane's top side, and the south pole is on the lower side.

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calculate the rf value for a spot in a tlc experiment if the solvent moved 12.8 cm and the spot moved 9.0 cm from the origin.

Answers

The rf value for a spot in a TLC experiment if the solvent moved 12.8 cm and the spot moved 9.0 cm from the origin is 0.7031.

In a TLC experiment, the rf value can be calculated by dividing the distance traveled by the solute by the distance traveled by the solvent.

The solvent moved 12.8 cm. The spot moved 9.0 cm from the origin. To calculate the rf value,

we use the formula:

rf value = distance traveled by solute / distance traveled by solvent

rf value = 9.0 cm / 12.8 cm

rf value = 0.7031

Therefore, the rf value for the given spot in a TLC experiment is 0.7031.

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at 3 s into a run, a football player is traveling at 3 m/s. four seconds later, the player is traveling at -5 m/s. the change in velocity (delta v) is equal to:

Answers

The change in velocity (delta v) is equal to -8 m/s.

Delta v, the change in velocity, is calculated as the final velocity minus the initial velocity. In this case, the initial velocity is 3 m/s and the final velocity is -5 m/s, so we have:

delta v = final velocity - initial velocity

delta v = (-5 m/s) - (3 m/s)

delta v = -8 m/s

Therefore, the change in velocity (delta v) is equal to -8 m/s. This means that the football player's velocity decreased by 8 m/s over the course of 4 seconds, which corresponds to an acceleration of -2 m/s² (since acceleration is defined as the change in velocity divided by the time interval over which the change occurs).

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a 3.0-kg mass is located at (0.0 m, 8.0 m), and a 1.0-kg mass is located at (12 m, 0.0 m). you want to add a 4.0-kg mass so that the center of mass (or center of gravity) of the three-mass system will be at the origin. what should be the coordinates of the 4.0-kg mass?

Answers

In order to attain a center of mass at the origin, the coordinates of the 4.0 kg mass ought to be (-3 m, -2 m).

What is a Centre of Mass?

A point in a system of objects or particles that moves as if all the system's mass were concentrated there is known as the center of mass. It is the mass distribution-weighted average position of all the mass in a system.

The following formula can be used mathematically to determine the center of mass of a system containing n particles, each of which has mass mi and is located at a position vector:

R = (1/M) * (mi * ri), where M is the system's total mass and the sum is calculated across all n particles.

Solving for x and y, we get:

x = -3 m

y = -2 m

mass ought to be (-3 m, -2 m).

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1. ) Why must we conserve and find alternatives for non-renewable energy?


A

It takes thousands of years to make non-renewable resources, so we could run out.


B

Non-renewable resources are replenished quickly.


C

Renewable resources are made from non-renewable resources.


D

Non-renewable resources are the only fuels that can provide energy for our cars and homes.



2. ) Conservation is the practice of using fewer natural resources and reducing waste. Conservation practices are helpful by

A

slowing population growth.


B

preventing habitat destruction and by reducing pollution.


C

decreasing biodiversity.


D

decreasing the spread of exotic species and by creating new habitats

Answers

A) It takes thousands of years to make non-renewable resources, so we could run out.

B) preventing habitat destruction and by reducing pollution.

The correct answer is A: It takes thousands of years to make non-renewable resources, so we could run out. Non-renewable energy sources, such as fossil fuels (coal, oil, and natural gas), cannot be replenished on a human timescale. Once they are depleted, they cannot be replaced for thousands or even millions of years. As a result, it is crucial to conserve and find alternatives for non-renewable energy to ensure a sustainable energy supply for future generations.

The correct answer is B: preventing habitat destruction and by reducing pollution. Conservation practices aim to reduce the use of natural resources, minimize waste, and protect the environment. By using fewer resources and producing less waste, conservation helps to preserve natural habitats and prevent environmental degradation. This, in turn, helps to reduce pollution and protect biodiversity. While conservation alone cannot solve all environmental problems, it is an essential component of sustainable development and can help to mitigate the negative impacts of human activities on the planet.

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if all the energy stored in the capacitor is delivered in electric current, what is the voltage difference at which the current was delivered? give your answer in volts.

Answers

If all the energy stored in the capacitor is delivered in electric current, the voltage difference at which the current was delivered is 124V.

The voltage difference at which the current was delivered is equal to the voltage stored in the capacitor. In other words, if the capacitor is charged to a certain voltage, then the current delivered will be at that same voltage. So, the voltage difference is equal to the voltage stored in the capacitor in Volts.

The voltage difference at which the current is given by the formula:

V = sqrt(2E/Q)

Where, V is the voltage difference, E is the energy stored in the capacitor and Q is the capacitance of the capacitor. Thus, the voltage difference at which the current was delivered can be found by calculating the square root of two times the energy stored in the capacitor divided by the capacitance of the capacitor. This is given as:

V = sqrt(2E/Q)

Where, E = 1/2 × C × V² (energy stored in capacitor), C = 1.8 × 10^-3 F (capacitance of the capacitor), V = 120V (voltage of the capacitor)

Substituting the values above:

E = 1/2 × 1.8 × 10^-3 F × (120 V)^2 = 13.824 J

Therefore,

V = sqrt(2 × 13.824 J/1.8 × 10^-3 F) = sqrt(15360) = 124 V

Thus, the voltage difference at which the current was delivered is 124V.

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What happens when two substances with different temperatures come into contact?

Potential energy is transferred from the warmer substance to the cooler substance.

Thermal energy is transferred from the warmer substance to the cooler substance.


Both substances gain thermal energy.


Thermal energy is transferred from the cooler substance to the warmer substance.

Answers

When two substances with different temperatures come into contact, thermal energy is transferred from the warmer substance to the cooler substance.

This is due to the fact that thermal energy flows from higher temperature regions to lower temperature regions in an attempt to reach thermal equilibrium, where both substances have the same temperature.

During this process, the warmer substance loses thermal energy as its temperature decreases, while the cooler substance gains thermal energy as its temperature increases. This transfer of thermal energy is called heat transfer and can occur through three mechanisms: conduction, convection, and radiation. The specific mechanism of heat transfer that occurs depends on the nature of the substances and the conditions under which they are in contact.

Therefore, the correct answer to your question is "Thermal energy is transferred from the warmer substance to the cooler substance."

What is thermal energy ?

Thermal energy is the energy that is associated with the temperature of an object or a system. It is a type of internal energy that is related to the random motion of the atoms and molecules that make up the object or system. The greater the temperature of an object or system, the greater its thermal energy.

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How long does a minus, 12000, N,−12000N force act on a 1800, k, g,1800kg object moving at 13, m, slash, s,13m/s if after the period of time the object is stationary?

Answers

The minus 12000 N force acts on the 1800 kg object for 1.95 seconds in order to bring it to a stop from an initial velocity of 13 m/s.

What is stationary ?

Stationary refers to a state of rest or lack of motion.

We can use the following kinematic equation to solve for the time (t) that the force acts on the object:

vf = vi + at

Where

vf is the final velocity (which is zero, since the object comes to a stop) vi is the initial velocity (which is 13 m/s) a is the acceleration (which can be found using Newton's second law) t is the time

Using Newton's second law, we can find the acceleration (a) of the object:

F = ma

Where

F is the force (-12000 N)m is the mass of the object (1800 kg)

a = F/m = -12000 N / 1800 kg = -6.67 m/s^2 (the negative sign indicates that the acceleration is in the opposite direction of the force)

Substituting the values into the kinematic equation:

0 = 13 m/s + (-6.67 m/s^2) × t

Solving for t:

t = 13 m/s / 6.67 m/s^2 = 1.95 s

Therefore, the minus 12000 N force acts on the 1800 kg object for 1.95 seconds in order to bring it to a stop from an initial velocity of 13 m/s.

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which of the following best describes how modern astronomers view astrology? group of answer choices astrology was a great idea until it was disproved by the work of copernicus, tycho, kepler, and galileo. astrology is new age mumbo-jumbo that was a waste of time when it was invented thousands of years ago and remains a waste of time today. astrology is a synonym for astronomy. astrology played an important part in the development of astronomy in ancient times, but it is not a science by modern standards.

Answers

Astrology played an important part in the development of astronomy in ancient times, but it is not a science by modern standards. This statement best describes how modern astronomers view astrology.

While astrology was once an important part of early astronomy, modern science has demonstrated that there is no scientific evidence to support astrology's claims. Modern astronomy relies on empirical evidence, experimentation, and rigorous scientific methodology, and astrology does not meet these criteria. As such, astrology is not considered a science by modern astronomers, but rather a form of divination or belief system.

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what frequency will an observer approaching a stationary 1000 hz sound source hear if the speed of the observer is twice the speed of sound?

Answers

The observer hears a frequency of 1715 Hz if the speed of the observer is twice the speed of sound as it depends on the speed of the observer, the speed of the sound, and the frequency of the sound.

In this case, the observer is approaching the sound source at a speed twice the speed of sound. To calculate the frequency the observer will hear, we can use the formula given below:

frequency heard = (v ± u) / (v ± us) * frequency emitted where

v is the speed of sound

u is the speed of the observer

f emitted is the frequency of the sound emitted

The frequency of the sound source is given as 1000 Hz. The speed of sound in air is approximately 343 m/s. Therefore, we can calculate the frequency heard by the observer as follows:

f heard = (v + u) / (v + us) * f emitted

f heard = (343 + (2 × 343)) / (343 + (2 × 343 / 343)) * 1000

f heard = 1715 Hz

In physics, the Doppler effect is the change in frequency of a wave in relation to an observer who is either moving toward the source of the wave or away from it. When an observer is moving toward a stationary sound source, he hears a higher frequency, and when he moves away from the sound source, he hears a lower frequency.

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If it takes 726 watts of power to move a mass 36 meters in 14 seconds, then what is the magnitude of the object’s mass?

A. 12. 1 kg

B. 20. 2 kg

C. 28. 8 kg

D. 282 kg

Answers

Answer: The mass of the object if it takes 726 watts of power to move an object 36 m in 14 s is 28.8 kg.

What is mass?

An object's inertia, a fundamental property, is measured by its mass, a fundamental indicator of the volume of substance inside the thing. Definitions of mass can seem circular since it since it  such a fund such a fundamental quantity and is challenging to define in terms of another.

It is possible to define every mechanical quantity in terms of mass, length, and time. The SI unit for mass, denoted by the letter m, is the kilogram. While mass is typically thought of as an immutable feature of an item, relativistic mass must be taken into account when traveling at speeds close to the speed of light.

Given:

The Power, p = 726 watt

The Time, t = 14 sec

distance travelled, d = 36 m

Calculate the power by the given formula

p = W / t  

p = m * g * h / t  ( w = m * g* h)

726 = m * 9.8 * 36 / 14 ( g = 10 m/s^2)

m = 28. 8 kg

Therefore,  the mass of the object If it takes 726 watts of power to move an object 36 m in 14 s is 28.8 kg.

at which point is the magnitude of the magnetic field the greatest? all points are equidistant with respect to the wires.

Answers

According to the Biot-Savart Law, the magnetic field of a wire depends on the distance from the wire and the amount of current flowing through the wire. The magnitude of the magnetic field is maximum when the point is equidistant from both wires in the same direction.

If there are two parallel current-carrying wires of equal radius, and they are equidistant from each other, then the magnetic field will be maximum in the central region that is equidistant from both wires. As the point moves closer to one of the wires and farther away from the other, the magnitude of the magnetic field will decrease. The magnetic field strength is also proportional to the current flowing through the wire.

When the current is increased, the magnetic field strength will also increase. This effect can be seen by bringing the two wires closer to each other while keeping the current constant. If the two wires are brought close enough, then they will attract each other, indicating the presence of a strong magnetic field.

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when two parallel feeders are installed to each of the synchronous condensers, the conductors can be sized for _______ the value of the required ampacity.

Answers

When two parallel feeders are installed to each of the synchronous condensers, the conductors can be sized for double the value of the required ampacity.

Let's discuss it further below.

A synchronous condenser is a rotating electric device that performs reactive power compensation by either generating or absorbing reactive power to regulate voltage levels in power systems. The unit's active power output is small or zero.

A synchronous condenser's performance is often expressed in terms of its reactive power rating, which is specified in units of kilovolt-amperes-reactive (kVAR). It must be operated with a certain amount of mechanical power and is usually driven by an electric motor.

The synchronous condenser aids in the regulation of transmission voltage levels and the stabilization of power system operations in response to disturbances. When in the form of an electric motor, it also serves as a mechanical brake for turning devices when shut down.

A conductor is a material that carries an electrical current. Metals are typically good conductors. For electrical applications, copper and aluminum are widely used. Gold, silver, and copper are the best electrical conductors. Among metals, the most commonly used for electrical wiring are copper and aluminum.

Ampacity refers to the maximum amount of electrical current that can be carried by a conductor. It is a function of the conductor's cross-sectional area, the material it is composed of, and the temperature of the conductor.

The ampacity of a conductor must be greater than or equal to the load's current to prevent overheating and conductor failure. When multiple conductors are grouped together, derating factors are used to account for the increased temperature that results from the conductors' proximity to one another.

The ampacity of conductors connected to synchronous condensers may be sized for twice the value of the required ampacity when two parallel feeders are used.

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what is the period of a satellite in a geosynchronous orbit?

Answers

The period of a satellite in a geosynchronous orbit is 24 hours. This is because a geosynchronous orbit is an orbit around the Earth with a period of one day, meaning the satellite revolves around the Earth at the same rate that the Earth rotates on its axis.

A satellite is a space vehicle or a machine that orbits the Earth, the Moon, or other planets, or celestial bodies to collect data, take images, and conduct experiments. There are two types of satellite orbits: Geostationary Orbit (GEO) and Low Earth Orbit (LEO). The geosynchronous orbit is the location at which a satellite orbits around the Earth with the same period as the Earth's rotation. A satellite's orbital period, which is determined by the distance of the orbit from the Earth's center, can be calculated using Kepler's laws.

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interference with the normal pattern of the electrical current is also referred to as .:

Answers

Interference with the normal pattern of the electrical current is also referred to as arrhythmia.

What is arrhythmia?

Arrhythmia refers to an irregular heartbeat, meaning the heart beats too quickly, too slowly, or in an irregular manner. The heart's electrical signals are responsible for its rhythm. Arrhythmias are often caused by underlying heart disease.

These diseases include congenital heart disease, high blood pressure, coronary artery disease, heart valve disorders, cardiomyopathy, and many more. Heart disease, alcoholism, hyperthyroidism, electrolyte imbalances, caffeine consumption, smoking, and drug use can all cause arrhythmias.

Treatment for arrhythmias can range from simple monitoring to medication to surgery or pacemaker implantation.

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How is speed connected to energy of a skateboarder?

Answers

Kinetic energy rises along with the skater's pace. The kinetic energy rises as the speed falls.

A skateboard will have greater kinetic energy as it glides more quickly up or down a slope. Some of this kinetic energy, which was transformed into motion through friction, will be lost as heat when skaters reach the bottom of the ramp and begin travelling again in a horizontal direction (between surfaces).

As the skateboarder changes positions along the track and changes velocities, her potential energy is transformed into kinetic energy (KE), or the energy of motion. The system's total potential energy determines how much kinetic energy the skateboarder can have at any given time.

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Can someone help please.

Answers

Answer:

Electrical : Lightning

Mechanical : Compressed Springs

Elastic : Coiled Spring

Explanation:

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a proton enters at 3.5 e 6 m/s through a slit between first plate of a parallel metal plates separated by a distance 0.23 m. what should be the value of magnetic field pointing into the page so that the proton just misses colliding with the opposite plate?

Answers

The value of magnetic field pointing into the page so that the proton just misses colliding with the opposite plate is 0.136 T.
The proton's motion can be explained by the Lorentz force. The Lorentz force formula is F = q(v x B), where F is the force on the particle, q is the particle's charge, v is the velocity of the particle, and B is the magnetic field. For a particle traveling in a straight line through a magnetic field, the Lorentz force provides a centripetal force that bends the particle's path into a circle. The centripetal force on the proton is given by: F = mv^2/r where m is the proton's mass, v is its velocity, and r is the radius of its path. The centripetal force is also given by F = qvB, so we can set these two equations equal to each other to get: mv^2 / r = q v B. We can rearrange this equation to solve for B: B = m v / q r. Since the proton travels through the slit between the plates, it will collide with the opposite plate if the radius of its path is less than the distance between the plates.

So, we need to solve for the magnetic field that will cause the radius of the proton's path to be just equal to the distance between the plates: r = d/2. Because the plates are parallel, the magnetic field must be perpendicular to the plane of the plates. So, the magnetic field must point into the page. Therefore, the value of magnetic field pointing into the page so that the proton just misses colliding with the opposite plate is B = m v / (q d/2). Now, let's substitute the given values: m = 1.67 x 10^-27 kg, v = 3.5 x 10^6 ms^-1, q = 1.6 x 10^-19 C, d = 0.23 m. So, B = (1.67 x 10^-27 kg) (3.5 x 10^6 ms^-1) / (1.6 x 10^-19 C) (0.23 m / 2) B = 0.136 T

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A converging mirror has a focal length of 15cm. An object is placed 40cm from the mirror. Determine the image distance

Answers

Answer: 24 cm

Explanation:

F = 15 cm; d = 40 cm;

f - ?

[tex] \frac{1}{f} = \frac{1}{15} - \frac{1}{40} = \frac{1}{24} [/tex]

f = 24 cm (according to the proportion)

in what direction would a positive charge be deflected if travelling from left to right, if the magnetic field is acting into the page?

Answers

A positive charge travelling from left to right would be deflected in an upward direction if the magnetic field is acting into the page. This is because a positive charge is affected by the magnetic field in the same direction as the right-hand rule. The right-hand rule states that if your thumb points in the direction of the magnetic field, your fingers curl in the direction of the deflection of the positive charge.
A positive charge traveling from left to right would be deflected upwards if a magnetic field is acting into the page. A magnetic field is a force that surrounds a magnet and other magnetic materials. The magnetic field's direction depends on the magnet's polarity. The magnetic field exerts a force on a moving charged particle. This force is known as the Lorentz force. The direction of the Lorentz force is perpendicular to both the magnetic field and the direction of the charged particle's motion.

As a result, a positively charged particle moving from left to right will be deflected upwards if the magnetic field is acting into the page. This is due to the right-hand rule of the magnetic force on a charged particle. The right-hand rule states that if the thumb of the right hand points in the direction of the charged particle's velocity and the fingers curl in the direction of the magnetic field, the palm points in the direction of the force on the charged particle.

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a transparent sphere of unknown composition is observed to form an image of the sun on its surface opposite the sun. what is the refractive index of the sphere material?

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I don't really know this the right answer, but i the answer is 2.00cm

a wave of amplitude 4.0 meters interferes with a second wave of amplitude 6.0 meters. if both waves are positive, what is the largest amplitude that will result?

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The largest amplitude that will result from two positive waves of amplitude 4.0 meters and 6.0 meters interfering is 10.0 meters. This is because when two waves with the same frequency interfere constructively, the resulting wave has an amplitude equal to the sum of the individual amplitudes.


When two waves of the same wavelength interfere with each other, the resultant wave can be calculated by adding the displacement of each wave at each point on the medium. This addition results in a wave with either greater or lesser amplitude than the original wave. In this question, two waves of amplitude 4.0 meters and 6.0 meters interfere with each other. We need to find out the largest amplitude that will result.

When two waves interfere with each other, their amplitude is added up. If both the waves have the same amplitude and wavelength and are in-phase, their amplitude will be added up, and the maximum amplitude that will result will be 10 meters. However, in this case, the amplitudes of the two waves are different. One has an amplitude of 4.0 meters, while the other has an amplitude of 6.0 meters.

When waves of different amplitudes interfere with each other, the amplitude of the resulting wave can be calculated by using the following formula:

Resultant amplitude = (amplitude of wave 1) + (amplitude of wave 2)

The largest amplitude that will result when a wave of amplitude 4.0 meters interferes with a second wave of amplitude 6.0 meters is:

Resultant amplitude = (amplitude of wave 1) + (amplitude of wave 2)
                   = 4.0 + 6.0
                   = 10.0 meters

Therefore, the largest amplitude that will result is 10.0 meters.

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the action spectrum is broader than the absorption spectrum because

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The action spectrum is broader than the absorption spectrum because it takes into account all wavelengths of light that can drive a particular biological process, not just those absorbed by a specific pigment.

The action spectrum shows the efficiency of a biological process, such as photosynthesis or vision, at different wavelengths of light. It measures the biological response to each wavelength, regardless of which pigment is responsible for absorbing the light.

On the other hand, the absorption spectrum only shows the wavelengths absorbed by a particular pigment, such as chlorophyll or rhodopsin. Therefore, the action spectrum is broader than the absorption spectrum because it considers all the wavelengths that can activate the biological process, while the absorption spectrum only shows the wavelengths absorbed by a specific pigment.

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how could you prove that rock layers in one area match rock layers found in another area?

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To prove that rock layers in one area match rock layers found in another area, geologists use the principles of stratigraphy, including fossil, lithologic, and chemical correlation techniques.

One way to prove that rock layers in one area match rock layers found in another area is by using the principle of stratigraphy, which is the study of rock layers (strata) and their relationships. Geologists can use several techniques to correlate rock layers between different locations, including:

Fossil correlation: If a particular fossil is found in two different rock layers at different locations, it is a good indicator that the layers are of the same age. This is because certain fossils only existed during specific time periods, and so if the same fossil is found in two different rock layers, it can be inferred that those layers were deposited during the same time period.

Lithologic correlation: Rocks can have unique characteristics that allow geologists to match them to other rocks of the same type. For example, sandstone can have unique grain sizes or shapes that can help identify it as coming from a specific location.

Chemical correlation: Some rocks have unique chemical compositions that can be used to match them to other rocks of the same type. For example, volcanic rocks can have unique isotopic signatures that can help identify them as coming from a specific volcano.

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Which index of refraction is bigger? Which medium light travels faster?

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Refraction is the bending of light as it passes from one medium to another with a different refractive index.

When light passes from a medium with a lower refractive index to one with a higher refractive index, it bends towards the normal (the imaginary line perpendicular to the surface of the boundary).

When it passes from a medium with a higher refractive index to one with a lower refractive index, it bends away from the normal. This bending of light is due to a change in its speed as it enters a new medium.

What is refractive index ?

Refractive index is a measure of how much a material slows down light. It is defined as the ratio of the speed of light in a vacuum to the speed of light in the material. The higher the refractive index, the more the material will bend light as it passes through it. Refractive index is an important property in optics and is used to calculate the angle of refraction when light passes through a boundary between two materials with different refractive indices.

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