Which expression can be used to calculate centripetal acceleration?

Which Expression Can Be Used To Calculate Centripetal Acceleration?

Answers

Answer 1
The answer is B.

- Hope this helps
Answer 2

Answer:

B)[tex]a_c = \frac{4\pi^2 R}{T^2}[/tex]

Explanation:

As we know that for uniform circular motion the speed of the object is given by

[tex]v = \frac{distance}{time}[/tex]

here we know that

[tex]v = \frac{2\pi R}{T}[/tex]

now we know the formula of centripetal acceleration as

[tex]a_c = \frac{v^2}{R}[/tex]

here we know that

[tex]a_c = \frac{(\frac{2\pi R}{T})^2}{R}[/tex]

by solving above we have

[tex]a_c = \frac{4\pi^2 R}{T^2}[/tex]


Related Questions

What are the features of general adaptation syndrome?
help Guys!!

Answers

ON EDGEN: The three steps in the general adaptation syndrome are alarm, resistance, and exhaustion. Alarm is the fight-or-flight response. Your hormones surge, breathing becomes rapid and shallow, glucose is released, your heart rate increases, and your pupils dilate. The second part is resistance, which includes either fighting, where a stressor is taken head on, or flight, where a stressor is avoided. It includes how your body uses stored energy, hormones, minerals, and glucose to react. The final stage is exhaustion, also known as burn out. After prolonged stress, exhaustion kicks in and the ability to manage stress becomes low. At this point, the system of the body can become compromised due to prolonged exposure to the hormones involved with stress.

The features of general adaptation syndrome (GAS)  are the Alarm stage, Resistance stage, and Exhaustion stage.

What is general adaptation syndrome?

General adaptation syndrome (GAS) is a term coined by Hans Selye, a pioneering researcher in the field of stress, to describe the body's response to stressors.

The general adaptation syndrome consists of three stages:

1. Alarm stage: In this stage, the body recognizes a stressor and responds with the "fight or flight" response. The sympathetic nervous system is activated, which causes an increase in heart rate, respiration, and blood pressure, and a release of stress hormones like adrenaline and cortisol.

2. Resistance stage: If the stressor persists, the body enters the resistance stage. In this stage, the body tries to adapt to the stressor by continuing to release stress hormones and maintain the elevated physiological responses from the alarm stage. The body may also try to repair any damage caused by the stressor during this stage.

3. Exhaustion stage: If the stressor continues for an extended period of time, the body may enter the exhaustion stage. In this stage, the body's resources are depleted, and it may no longer be able to maintain the physiological responses from the resistance stage. This can lead to a variety of physical and mental health problems, including illness, depression, and burnout.

The general adaptation syndrome is a model that explains how the body responds to stressors over time. Understanding this model can help individuals and healthcare professionals to better manage and cope with stress.

Therefore, the three main features of GAS are the Alarm stage, Resistance stage, and Exhaustion stage.

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Which best contrasts an electric generator and an electric motor? In a generator, slip rings function as a solenoid, and in a motor, an armature functions as a solenoid. In a motor, slip rings function as a solenoid, and in a generator, an armature functions as a solenoid. A generator converts electrical energy to kinetic energy, and a motor converts kinetic energy to electrical energy. A generator converts kinetic energy to electrical energy, and a motor converts electrical energy to kinetic energy.

Answers

Answer: (D)

A generator converts kinetic energy to electrical energy, and a motor converts electrical energy to kinetic energy.

Explanation:

Just remember a generator makes electricity, and motors move things therefore creates kinetic energy.

The best contrast between an electric generator and an electric motor is,

A generator converts kinetic energy to electrical energy and a motor converts electrical energy to kinetic energy. The main difference between the two is, that the generator works on the principle of Electromagnetic induction, and the motor works on the principle of the Effect of Magnetic field on a current-carrying coil.

Electromagnetic Induction:Electromagnetic induction is the process of generating electric current with a magnetic field. Whenever a current flowing conductor is passing through lines of force in a magnetic field, electrical energy is generated.In this way a generator converts mechanical energy into electrical energy

Effect of Magnetic field on a current-carrying coil:A force is applied when an electric current is present in a magnetic field. This results in mechanical action.In this way an electric motor converts electrical energy into mechanical energy.

Thus, the best contrast between a generator and an electric motor is the energy conversions. A generator converts mechanical energy into electrical energy and an electric motor converts electrical energy into mechanical energy.

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How are the energy of infrared, visible light and ultraviolet rays related? And why?

A) Infrared contains the least energy and ultraviolet contains the most energy. The energy of a wave is proportional to its wavelength.
B) Infrared contains the most energy and ultraviolet contains the least energy. The energy of a wave is proportional to its wavelength.
C)
Infrared contains the least energy and ultraviolet contains the most energy. The energy of a wave is inversely proportional to its
wavelength.
D)
Infrared contains the most energy and ultraviolet contains the least energy. The energy of a wave is inversely proportional to its
wavelength.

Answers

Infrared contains the least energy and ultraviolet contains the most energy. The energy of a wave is inversely proportional to its

Answer: The correct answer is Option C.

Explanation:

Energy of the Electromagnetic Spectrum is given by the Planck's equation:

[tex]E=h\nu[/tex]

Where,

E = Energy of the wave

h = Planck's constant

[tex]\nu[/tex] = Frequency of the wave

And we know that,

[tex]\nu=\frac{c}{\lambda}[/tex]

where,

c = Speed of light

[tex]\lambda[/tex] = Wavelength of the wave

Putting the value of frequency in energy equation, we get:

[tex]E=\frac{hc}{\lambda}[/tex]

From the above relation, we get that energy is inversely related to wavelength of the wave.

From the spectra, we know that order of wavelength follows:

Infrared > Visible > UV

So, the order of energy gets reversed and the order becomes:

Infrared < Visible < UV

From the above information, we conclude that the correct option is Option C.


a non reactive metal can be identified from other metals because it's surface is?

Answers

Nonreactive - it doesn't react with other substances

A girl floating in the ocean and watches 12 wave crests pass her in 46 s. Calculate the wave frequency and period?

Answers

The frequency of the ocean waves is approximately 0.261 Hz, and the period is approximately 3.83 seconds, calculated based on the observation that 12 wave crests passed the observer in 46 seconds.

To calculate the wave frequency and period of ocean waves that a girl floating in the ocean observes, you can use the following definitions and formulas:

Frequency (f) is the number of wave crests passing a fixed point per unit of time. It is measured in hertz (Hz), which is equivalent to one wave per second.Period (T) is the time it takes for one complete wave cycle to pass a point. It is the inverse of the frequency and is measured in seconds (s).

Given that 12 wave crests pass the observer in 46 seconds, the frequency (f) can be calculated as:

f = Number of waves / Time = 12 waves / 46 s
≈ 0.261 Hz

To find the period (T), you can use the formula:

T = 1 / f
≈ 1 / 0.261 Hz
≈ 3.83 s

Therefore, the frequency of the waves is approximately 0.261 Hz, and the period is approximately 3.83 seconds.

How do I find the acceleration in this problem?

Answers

using the formula, F= ma

Resultant force = mass x acceleration

6000-1000 = 2500a
a= 5000/2500
a= 2m/s2

Final answer:

To calculate acceleration, determine the change in velocity and the change in time, then use the formula a = ∆v/∆t where 'a' is acceleration, ∆v is the change in velocity, and ∆t is the change in time.

Explanation:

To find the acceleration in a problem, follow these general steps:

Determine the change in velocity (Δv), which is the difference between the final velocity (Vf) and the initial velocity (Vo).

Identify the change in time (Δt) over which the velocity change occurs.

Use the formula for average acceleration, which is a = Δv/Δt, where 'a' represents the acceleration, Δv is the change in velocity, and Δt is the change in time.

For instance, if a train starts at rest (Vo = 0) and reaches a velocity of 30.0 km/h (Vf) in 20.0 seconds (Δt), convert the velocity to meters per second (since 1 km/h is equal to approximately 0.27778 m/s), calculate Δv, and then divide by Δt to find acceleration.

What will happen to this current if a magnet is brought near the cord?

Answers

an electric current will move through in the wire caseing causing more power to be released

Answer:

It will exert a force on the electric current.

Explanation:

how high is a 0.5 kg squirrel sitting if it has 36 j of energy

Answers

Assuming potential energy. PE=mgh
7.35 meters above ground

The squirrel is sitting at a height of 7.35 m.

The energy possessed by a body by virtue of its position is called potential energy.

If the squirrel has a mass m and if it sits at a height h then, the potential energy E of the squirrel is given by,

[tex] E=mgh [/tex]

here, g is the acceleration due to gravity.

Given:

[tex] m=0.5 kg;E=36 J [/tex]

Take the value of acceleration due to gravity [tex] g=9.8 m/s^2 [/tex]

Rewrite the equation for energy in terms of h.

[tex] h=\frac{E}{mg} [/tex]

Substitute the given values and calculate the value of h.

[tex] h=\frac{E}{mg} \\ =\frac{36 J}{(0.5 kg)(9.8 m/s^2)} \\ =7.35 m [/tex]

The squirrel is at a height of 7.35 m

In Faraday's experiment if instead of moving the magnet towards the coil we move the coil towards the magnet, will there be any induced current? Justify. Compare 2 cases

Answers

Yes, there will still be induced current. Actually, the result of the experiment will be the same.

In fact, Faraday Neumann Lenz law says that a variation of the magnetic flux enclosed by a circuit produces an induced electromotive force in the circuit itself (and so an induced current), and the intensity of this e.m.f. is equal to the negative of the variation of the flux in time:
[tex]\epsilon = - \frac{d \Phi _B}{dt} [/tex]

If we are moving the magnet towards the coil, we are increasing the magnetic flux through the area enclosed by the coil (because the intensity of the field becomes stronger). If instead we moves the coil towards the magnet, we are still increasing the magnetic flux through the area enclosed by the coil, because the coil is coming closer to the magnet and therefore the field intensity is increasing. Therefore, the net effect will remain the same, and so the induced current will be the same in the two situations.

Asexual organisms, as compared to sexual organisms, tend to be smaller, have shorter life spans, and produce little or no genetic variability between generations. This makes it harder for an individual asexual organism to survive and reproduce. What is one advantage that asexual organisms have that helps them to overcome these disadvantages? A. They have higher reproductive rates. B. They use energy more efficiently. C. They never need to sleep. D. They are able to find food easier.

Answers

I would go with b) hoped that helped.

a) they have higher reproductive rates

Which ordered pair on a distance versus time graph represents a distance of 1 km and a time of 10 minutes? (10,1) (1,10) (1,9) (9,1)

Answers

Answer:

(10,1)

Explanation:

Given: distance of 1 km and time taken 10 minutes.

To Find: Which ordered pair represents a distance of 1 km and a time of 10 minutes in distance time graph.

Solution:

Consider the file attached.

We know that any point in a graph with point [tex]\text{x}_{i}[/tex] on x-axis and [tex]\text{y}_{i}[/tex] on y-axis=[tex](\text{x}_{i},\text{y}_{i})[/tex]

in a distance versus time graph,

Y-axis represents Distance and X-axis represents Time

plotting the points in Distance versus time graph,

distance [tex]1\text{km}[/tex] is plotted on Y-axis

Time [tex]10\text{minutes}[/tex] is plotted on X-axis

from graph,

the ordered pair for distance of [tex]1\text{km}[/tex] and Time [tex]10\text{minutes}[/tex] is represented by [tex](10,1)[/tex].

Which ratio is greater than 5/8

A)12/24

B)3/4

C)15/24

D)4/12

Answers

12/24=4x3/8x3

=4/8

4/8 is not correct ans it is less than 5/8

B) 3/4

multiply and divide it by 2 so the denominator should be equal to 8

3x2/4x2=6/8

6/8 is greater that 5/8 hence b is correct option

C)15/24=5/8 which is equalt to 5/8 hence it is not correct answer

D)4/12=1/3 it is also less than 5/8


a wall switch is connected to a wall outlet. A lamp is plugged into the same outlet. You turn the switch on, but the lamp stays off. Give three reasons why this might happen.

Answers

1:   only half  the outlet is switched  and the lamp is in the  other half
2:  the lamp is turned off.
3:   The  light bulb  is burned out
4:  the switch might be broken
5:   the fuse   might be blown
6: the electricity might be off

A wall switch is connected to a wall outlet. A lamp is plugged into the same outlet. You turn the switch on, but the lamp stays off. Three reasons why this might happen are a Defective bulb, a Faulty switch and Issues with the outlet.

Defective bulb: The lamp's bulb may be burned out, causing it not to light up.

Faulty switch: The wall switch itself may be faulty and not properly completing the circuit to the lamp.

Issues with the outlet: There could be a problem with the electrical outlet, like a loose connection or no power supply.

if a droplet has 3 extra electrons, what is its measured charge? A. 1/3 of an elementary charge B. 1 elementary charges. C. 2 elementary charges. D. 3 elementary charges.

Answers

It's D. 3 elementary charges

Hope this helps!!!

:)

If a droplet has 3 extra electrons, the measured charge will be three elementary charges.

Elementary charges:It is the amount of charge carried by a single photon or electron. It is a physical constant that has the value of about [tex]1.6 \times 10^{-19 } \rm \ C[/tex].If a droplet has 3 extra electrons means it has 3 extra elementary charges.The charge will be 3 x  [tex]1.6 \times 10^{-19 } \rm \ C[/tex].

Therefore, if a droplet has 3 extra electrons, the measured charge will be three elementary charges.

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Select all of the examples of a base.


Vinegar


Baking soda


Lemons


Tomatoes


Bleach


Soap


Bananas


Ammonia

Answers

Ammonia, Bananas, Bleach,
 Tomatoes, Baking Soda are all examples of a base.

Answer:

The following are bases:  baking soda, bleach, soap, and ammonia.

The other items are acidic.

Explanation:

Bases have four different properties. They are bitter, feel slippery, do not react with carbonates, and turn red litmus paper blue.

In comparison, an acid tastes sour, reacts with metal and carbonates, and turns blue litmus paper red.

A ball is dropped and falls with an acceleration of 9.8 m/s2 downward. It hits the ground with a velocity of 49 m/s downward. How long did it take the ball to fall to the ground?

Answers

Hey!

NOTE-:

u= initial velocity
v= final velocity
g= acceleration due to gravity
t= time

u= 0
v= 49 m/s
t=?
g= 9.8 m/s^2

Using first equation of motion -

v-u=at
49-0= 9.8×t
49 = 9.8t
49/9.8= t
t= 5 second


Hope it helps...!!!

what type of adaptation helps a living thing hide in its environment

Answers

That would be known as camouflage. Many animals use it, including: iguanas, tigers, lions, spiders, snakes , frogs, panthers, moose, and deer. 

If you have any other questions, just let me know! :)
camouflage helps living creatures hide in their environment (such as the stripes on a tiger to blend in with their surroundings)

The ability to regulate the amount of charge flowing in a circuit is

Pennfoster:
(A. resistance.)
B. direct current.
C. alternating current.
(D. voltage.)

Answers

You can think of resistance as a sort of friction. It can limit the flow of charge in a circuit. Hindering the flow allows it to regulate how much current will flow through the device. Resistance is your answer, letter A. 

If you take into account the voltage, although it can also regulate the current by choosing a power source, when you talk about the charge flowing WITHIN the circuit given a specific power source, it is resistance that will temper the flow. 

Our turtle Adel walks 10 feet in 50 minutes. How fast is Adel travelling? Be sure to include the equation for speed in your answer.

Answers

First, divide
ft/min
10/50= .2
so
.2 ft per minute
Equation for speed is
Speed= Distance/Time
Speed = (distance covered) / (time to cover the distance)

     (10 ft) / (50 minutes)  =  0.2 ft/minute

                                        =  2.4 inch/minute

                                        =  12 ft/hour 

when you lift a book from the ground to your desk, what kind of work do you do, negative or positive? by lifting the book what do you change? does the book gain engery or lose engery? what kind of engery?

Answers

1. When you lift a book from the ground to your desk, what kind of work do you do, negative or positive?

 The work is the product of the vector by the force by the distance; so if the direction in which the force is applied to the object and its displacement has opposite sign or are opposite, the work is negative. So, when you lift a book from the ground to your desk, you are applying a force upwards and the book is upwards too, then, both are going in the same direction. Therefore, the work is positive.

 2. By lifting the book what do you change?

 By lifting the book from the ground to your desk, its height changes, therefore you change its gravitational potential energy, which is equal to the mass of the book by height by the acceleration of gravity.

 3. Does the book gain energy or lose energy? What kind of energy?

 The book gains energy. The kind of energy that the book gains is called: "Gravitational potential energy".

which two forms of electromagnetic energy mostly passes through the atmosphere to Earth's surface

Answers

i believe it is visible lighy and radio waves, these two types of waves easily pass through the atmosphere and hits the earths surface the most

Final answer:

The two forms of electromagnetic energy that mainly pass through Earth's atmosphere are visible light and certain microwaves, which are crucial for life and climate balance.

Explanation:

The two forms of electromagnetic energy that mostly pass through the Earth's atmosphere to reach the surface are visible light and certain microwave frequencies. While our atmosphere acts as a shield, it selectively filters out most other wavelengths of incoming solar radiation. However, it allows the transmission of the majority of visible light and certain bands of the infrared spectrum, while absorbing harmful ultraviolet rays and other frequencies. This filtering is crucial for protecting life on Earth and for the climate balance by controlling the energy received at the surface.

What is the difference between States of matter and phases of matter?

Answers

Answer:

The States of Matter. States of matter are solids, liquids, gasses, and plasma.

Phases of Matter. A phase of matter is uniform with respect to its physical and chemical properties.

Examples. At room temperature and pressure, the state of a piece of dry ice (carbon dioxide)...

Explanation:

in real machines , efficiency is always

Answers

less than 1. because of internal friction you cannot have a 100% efficient
 machine 

Astronomers use tiny wobbles of distant stars to detect the presence of planets orbiting those stars. This occurs because the star exerts a gravitational pull on the planet while the planet A) repels the star it orbits. B) exerts no force on the star. C) creates friction between itself and the star. D) exerts a gravitational pull on the star it orbits.

Answers

The answer is D. Exerts a gravitational pull on the star it orbits.

Answer:

D) exerts a gravitational pull on the star it orbits

Explanation:

When light from a distant star appears to slightly red shift or slightly blue shift i.e., it seems to sometimes move away from us and sometimes move towards us, it is most likely to have planets around it. This method is known as Doppler spectroscopy.

This happens because of the unequal masses of the planet and the star the center of gravity does not lie in between them but rather in the star itself. Around this center of gravity the planet and the star will move. This causes the star to wobble.

Please help me on 3,4 and 6.
Thanks

Answers

3. The second piston will experience the same force as compared with the first. This is because since the pressure is the same everywhere inside the fluid system, the force is proportional to the surface area. We are told that both the first and the second piston have the same surface area, therefore, they will both experience the same force/pressure.


4. The situation is much the same as number 3 above, with the exception that the second piston is twenty times larger than the first. Again, since the pressure is the same everywhere inside the fluid system, the force is proportional to the surface area. We are told that the second piston is 20 times larger than the first, therefore, the larger piston will experience 20 times larger the force of the small one.


6. The answer is TRUE. The hydraulic braking system of most cars makes use of a vacuum servo (or booster), which is located between the brake pedal and the master cylinder piston. This vacuum servo amplifies the force applied from the brake pedal.

The gravitational attraction between two objects will BLANK if one object acquires more mass.

Answers

the gravitational attraction will increase.

Three examples of telescopes that detect different types of electromagnetic radiation

Answers

Three examples of telescopes that detect different types of electromagnetic radiation are : X-Ray Telescope, Radio Telescope &, Optical Telescope. Each is capable to detect different electromagnetic radiation. 

X-Ray Telescope is consist of optics which collects the radiation entering the telescope, and the detector,where the radiation is collected and measured.

Radio Telescope studies the radio frequency part of  the electromagnetic  spectrum which is emitted by astronomical objects.

Optical Telescope gathers and focuses light, mainly from the visible part of the electromagnetic spectrum. 

Chemical properties of an acid include...


Corrosive, increases the concentration of hydrogen ions when added to water, forms hydrogen gas when it comes in contact with a metal, and forms salt and water when added to a base.


Corrosive, tastes sour, forms hydrogen gas when it comes in contact with a metal, and feels sticky to the touch.


Corrosive, increases the concentration of hydrogen ions when added to water, reacts with metals to form Hydrogen, and tastes sour.


Taste sour, increases the concentration of hydrogen ions when added to water, frequently burn nose when smelt, and forms salt and water when added to a base.

Answers

Answer: Option (a) is the correct answer.

Explanation:

Chemical properties are defined as the properties that show chemical nature of a substance or compound.

For example, toxicity, reactivity, combustion etc are all chemical properties.

Properties in which there is no change in chemical nature of a substance is known as physical property.

For example, solubility, density, volume, mass etc are all physical properties.

When a substance becomes corrosive in nature then it means oxidation of substance has occurred.

When concentration of hydrogen ions increases then it means acidity of a substance increases.

When an acid comes in contact with a metal then it releases hydrogen atoms.

For example, [tex]2HCl + Mg \rightarrow MgCl_{2} + H_{2}[/tex]

When we add an acid to a base then it will result in the formation of salt and water.

For example, [tex]HCl + NaOH \rightarrow NaCl + H_{2}O[/tex]

An acid does not feel slippery but a base feels slippery on touch.

Thus, we can conclude that chemical properties of an acid include corrosive, increases the concentration of hydrogen ions when added to water, forms hydrogen gas when it comes in contact with a metal, and forms salt and water when added to a base.

If you drop a gum rapper on the floor is that pollution

Answers

No pollution is in the air, dripping a gum wrapper on the floor is littering
not exactly, it is littering. littering makes the place look unpleasing and unclean, but it wont necessarily kill us. now if a factory is dumping their sewage and whatnot in the water, that is considered as industrial pollution because it is killing almost all the wildlife that live in the water, and it can contaminate the water so if you take a swim in it and accidentally swallow some of the water, it can make you sick and can possibly kill you. 

If the velocity of a moving object decreases from 60 m/s to 30 m/s, what happens to its momentum?

Answers

Hello!

momentum is p=mv so if the velocity is decreased by a factor of 2, which is 1/2 the value, then the momentum of that object will decrease by the same factorial.

Hope this helps, any questions please ask. Thank you!

Qualitatively the momentum is the amount of motion contained in the body.

Quantitatively momentum is the product of mass and velocity of the body.

Mathematically momentum= mass×velocity

                                       i.e p=m×v

where p denotes the momentum.

As per the question the initial velocity of the particle is given as [u]=60 m/s

The final velocity of the particle is given as [v]=30 m/s

Let the mass of the particle is m kg

The initial momentum [tex]p_{1} =m*u[/tex]

                                                  =60m kg m/s

the final momentum [tex]p_{2} =m*v[/tex]

                                                   =30m kg m/s

Hence the change in momentum is given as -

                                   [tex]p_{2} -p_{1} =[30m -60m] kg m/s[/tex]

                                                              = -30m kg m/s

Here the minus sign indicates the loss of momentum

Hence the momentum is decreased by twice as the velocity is decreased by twice.

In general if velocity is decreased by m times ,then the momentum is decreased by m times also.


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