Derive an expression for the block's centripetal acceleration ac in terms of m , θ , and physical constants, as appropriate

Answers

Answer 1

The expression for the block's centripetal acceleration is derived as ω²r or v²/r.

What is centripetal acceleration?

The centripetal acceleration of an object is the inward or radial acceleration of an object moving in a circular path.

The expression for the block's centripetal acceleration is derived as follows;

ω = dθ/dt

where;

ω is the angular speed θ is the angular displacementt is the time of motion

ac = ω²r

where;

r is the radius of the circular path

Also, ω = v/r

ac = (v/r)²r

ac = v²/r

Thus, the expression for the block's centripetal acceleration is derived as ω²r or v²/r.

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Related Questions

The interior of a refrigerator has a surface area of 2. 6 m2. It is insulated by a 4. 5 cm thick material that has a thermal conductivity of 0. 0098 J/m · s · ◦ C. The ratio of the heat extracted from the interior to the work done by the motor is 4. 4% of the theoretical maximum. The temperature of the room is 37. 7 ◦C, and the temperature inside the refrigerator is 3. 7 ◦C

Answers

For an interior of a refrigerator has a surface area of 2. 6 m2, The power is  is mathematically given as

P= 71.56W

What is the power?

Generally, the equation for the  Fourier's law  is mathematically given as

H = ∆Q/∆t = k∙A∙∆T/∆x

Therefore

H= 0.0112* 4.2 *(33.3 - 6.8) / 0.022m

H= 58.18J/s

For The coefficient of performance(COP)

COP = Q/W = H/P

Therefore

COP = 279.95K/(306.45K - 279.95K)

COP = 10.564

In conclusion

P = H/COP

P= 58.18W / 0.813

P= 71.56W

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When the string on a violin vibrates, waves move in both directions along the string, interfering with each other. Sometimes these wave
interact to make nodes and antinodes. What are these kinds of waves called? (1 point)

A.) Superposition waves
B.) Frequency waves
C.) Electromagnet waves
D.) Standing Waves

Answers

When the string on a violin vibrates, waves move in both directions along the string, interfering with each other. These waves are standing waves (Option D).

What are Standing Waves?

The Standing Waves are waves generated due to the vibrational frequency that produces reflected waves capable of interfering with the incident waves.

Standing Waves generates a pattern of waves that form a standing still, it is for that reason of the name.

The nodes and antinodes of the standing waves are found elsewhere in the medium where waves form.

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Answer:

Standing waves

Explanation:

The following equation illustrates the chemical reaction that occurs in a plant.

water + carbon dioxide + light energy → sugar + oxygen

Based on the law of conservation of energy, what happened to the light energy in the reaction?

A. It was produced by the plant.

B. It was changed into oxygen gas.

C. It was destroyed during the chemical reaction.

D. It was converted into chemical energy stored in the sugar.

Answers

Answer:

option d

it was converted into chemical energy stored in the sugar

Answer:

D. It was converted into chemical energy stored in the sugar.

Explanation:

A. It was produced by the plant. This is false because light energy is a reactant and not a product formed by the plant.

B. It was changed into oxygen gas. This is false because light energy could not be transformed to oxygen gas by any chemical means. Instead, carbon dioxide leads to oxygen being produced by the plant.

C. It was destroyed during the chemical reaction. This is false, it cannot be destroyed during the chemical reaction. Instead, it was used up and converted into chemical energy stored in the sugar.

D. It was converted into chemical energy stored in the sugar. This is true.

hope this helps!! p.s. i really need brainliest :)

An object rotates with an angular speed that varies with time, as shown in the graph. How can the graph be used to determine the magnitude of the angular acceleration α of the object? Justify your selection.


Subtract the greatest value of the angular speed from the smallest value of the angular speed, because α=Δω.

Subtract the greatest value of the angular speed from the smallest value of the angular speed, because a equals delta omega .

Determine the slope of the line from 0s to 2s, because the slope represents ΔωΔt.

Determine the slope of the line from 0 second to 2 seconds , because the slope represents the fraction delta omega over delta t .

Determine the area bounded by the line and the horizontal axis from 0s to 2s, because α=12ωΔt.

Determine the area bounded by the line and the horizontal axis from 0 second to 2 seconds , because alpha equals one half omega delta t .

The angular acceleration cannot be determined without knowing the rotational inertia of the object.

Answers

We can find it up angular velocity with respect to time graph .

As

[tex]\\ \rm\Rrightarrow m=\dfrac{\Delta \omega}{\delta T}[/tex]

[tex]\\ \rm\Rrightarrow \alpha=\dfrac{\Delta \omega}{\delta T}[/tex]

So we get

[tex]\\ \rm\Rrightarrow m=\alpha[/tex]

We need the slope in order to find angular acceleration

We can determine the angular acceleration of the object by taking the slope of the line in the plot of angular speed versus time because the change in linear here.

What is angular acceleration ?

The angular acceleration of an object is the measure of its rate of change in angular speed. Like the velocity, it a vector quantity and is characterized by a magnitude and direction.

The acceleration is the ratio of change in velocity to the time interval. From the graph of speed of an object versus the time taken, we can obtain the acceleration.

For a linear relation between the two quantities, the slope gives their ratio. Therefore, here, the slop of the line from 0 to 2 seconds represents the fraction delta omega over delta t. Hence, option D is correct.

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10. A ball is attached to a string of length 4 m to make a pendulum. The pendulum is placed at a location that is away from the Earth’s surface by twice the radius of the Earth. What is the acceleration due to gravity at that height and what is the period of the oscillations?

Please show all of your work.

Answers

Let's see

Radius of earth=6371mTwice of it=6371(2)=12742m

[tex]\\ \rm\rightarrowtail T=2\pi\sqrt{\dfrac{l}{g}}[/tex]

[tex]\\ \rm\rightarrowtail T=2\pi \sqrt{\dfrac{4}{g}}[/tex]

[tex]\\ \rm\rightarrowtail T=2\pi\dfrac{2}{\sqrt{g}}[/tex]

[tex]\\ \rm\rightarrowtail T=\dfrac{4\pi}{\sqrt{g}}[/tex]

So

[tex]\\ \rm\rightarrowtail g=\dfrac{16\pi ^2}{T^2}[/tex]

Answer:

g' = 1.09 m/s²

T = 12 s

Explanation:

Gravity due to acceleration

Distance from center of Earth = r + 2r = 3rgravity due to acceleration on surface, g = GM/r²Substitute 3r in the denominatorg' = GM/(3r)² = GM/9r²⇒ g' = g/9 = 9.8/9 = 1.09 m/s²

Time period

T = 2π√L/g'T = 2π√4/1.09T ≅ 12 s

The parenting style that can be described as restrictive and controlling is called __________. a. authoritarian b. permissive c. neglectful d. authoritative please select the best answer from the choices provided a b c d

Answers

The parenting style that can be described as restrictive and controlling is called authoritarian.

What is authoritarian?

The rejection of political plurality, the use of strong central power to maintain the political status quo, and reductions in the rule of law,

The separation of powers and democratic voting characterize authoritarianism.

Many typologies of authoritarian systems of administration have been developed by political scientists.

Authoritarian governments can be autocratic or oligarchic, and they can be founded on party or military authority.

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From left, a large candle A, a point C, a small candle B, a double convex lens D. A line passes below the base of the A and B, through C, and through the center of D. An eye looks left and up from below the line to the right of the lens. Dotted lines pass from the top of the large candle to the dotted center of the lens. Solid lines pass from the top of the small candle to the dotted centerline of the lens and then turn and pass down and right to the eye. Refer to the diagram to the left and use the drop-down menus to identify the parts of a magnifying glass. Label A: Label B: Label C:

Answers

Answer:

Label A: Virtual Image

Label B: Object

Label C: Focal point

Explanation:

Label A: Virtual Image

Label B: Object

Label C: Focal point

What is an eye ?

The visual system's organs include the eyes. They provide living things the ability to see, to take in and interpret visual information, and to perform a number of photoresponse activities that are not dependent on vision. Light is detected by the eyes, which transform it into electro-chemical impulses in neurons. In higher organisms, the eye is a sophisticated optical system that gathers light from the environment, controls its intensity through a diaphragm, focuses it through an adjustable arrangement of lenses to form an image, transforms this image into a series of electrical signals, and sends these signals to the brain via intricate neural pathways that connect the eye via the optic nerve to the visual cortex and other regions of the brain. The ability of resolving eyes has arrived.

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Two solenoids have the same cross-sectional area and length, but the first one has twice as many turns per unit length as the second. The ratio of the self-inductance of the second solenoid to that of the first is.

Answers

Answer:

2:1

Explanation:

Which property of the water molecule causes two water molecules to be attracted to each other? (2 points)
Polar bonds between H and O atoms
Ionic bonding between water molecules
Hydrogen bonds between H atoms
Ionic bonding between O atoms

Answers

Answer:

hydrogen bonding between H atoms.

Explanation:

Ring of mass straight m and radius straight r is attached to the end of a thin rod of mass straight m and radius 2 straight r

Answers

The total moment of inertia about an axis is : [tex]L^{2} ( \frac{M}{3} + m ) + \frac{2mr^2}{5}[/tex] for a ring of mass m and radius straight r attached to a thin rod.

Determine the Total moment of Inertia about an axis

Given data:

mass of ring --> m

radius of ring --> r

mass of rod --> M

Length of rod ---> L ( 2 * radius )

Total Moment of Inertia about an axis = Irod  +  Iring

where : Irod = moment of inertia of rod,  Iring = moment of inertia of ring

Irod = ML² / 3

Iring = 2mr² / 5

moment of inertia around an axis by Iring = I

where ;  I = 2mr² / 5  + ML²   according to parallel axis theorem

Hence the Total moment of Inertia about an axis is :

Itotal =  2mr²/5  +  ML²  +  ML² / 3

        = [tex]L^{2} ( \frac{M}{3} + m ) + \frac{2mr^2}{5}[/tex]

 

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For a ring of mass m and radius straight r connected to a thin rod, the total moment of inertia about an axis is [tex]\rm I= L^2 (\frac{M}{3} +m)+\frac{2mr^2}{5}[/tex].

What is a moment of inertia?

The sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation expresses a body's tendency to resist angular acceleration.

The given data in the problem is;

m is the ring's mass.

r is the radius of a ring.

L is the rod length = 2r

The total Moment of Inertia about an axis;

[tex]\rm I = I_{rod}+I_{ring} \\\\ \rm I =\frac{ML^2}{3} +\frac{2mr^2}{5}[/tex]

According to the parallel axis theorem,

[tex]\rm I = \frac{2mr^2}{5} + ML^2[/tex]

The total Moment of Inertia about an axis will be;

[tex]\rm I_{total} = \frac{ML^2}{3} +\frac{2mr^2}{5}+ML^2 \\\\ \rm I_{total} =L^2 (\frac{M}{3} +m)+\frac{2mr^2}{5}[/tex]

Hence for a ring of mass m and radius straight r connected to a thin rod, the total moment of inertia about an axis is [tex]\rm I= L^2 (\frac{M}{3} +m)+\frac{2mr^2}{5}[/tex].

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Please Help Me!

A boy holds a toy soldier in from of a concave mirror. The focal length of the mirror is 0.45 m and the boy holds the toy soldier at a distance of 0.25m from the mirror. Find the image distance.

Answers

The image distance when a boy holds a toy soldier in front of a concave mirror, with a focal length of 0.45 m. is -0.56 m.

What is image distance?

This is the distance between the image formed and the focus when an object is placed in front of a plane mirror.

To calculate the image distance, we use the formula below.

Formula:

1/f = 1/u+1/v........... Equation 1

Where:

f = Focal length of the mirrorv = Image distanceu = object distance

From the question,

Given:

f = 0.45 mu = 0.25 m

Substitute these values into equation 1 and solve for the image distance

1/0.45 = 1/0.25 + 1/v2.22 = 4+1/v1/v = 2.22-41/v = -1.78v = 1/(-1.78)v = -0.56 m

Hence, The image distance is -0.56 m.

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When a 10-V battery is connected to a resistor, the current in the resistor is 2 A. What is the resistor's value

Answers

Answer:

5 ohms

Explanation:

V = IR

10 = 2 R

R = 5

To measure a population’s baseline genetic state, it must have _____________ to be in hardy-weinberg equilibrium

Answers

Answer:

b

Explanation:

b

An object when placed in front of convex lens forms a real image of 0.5 magnification. If the distance of the image from the lens is 24 cm, Calculate Focal Length of Lens.​

Answers

[tex] \text{u =?} \\ \text{ v = 24cm} \\ \text{ m = 0.5} \\ \text{ f = ?}[/tex]

[tex] \implies \text{m} = \frac{ \text{v}}{ \text{u}} = \frac{24}{ \text{u}} [/tex]

[tex] \implies 0.5 = \frac{1}{2} = \frac{24}{ \text{u}} \\ \\ \therefore \text{u} = 48 \text{cm}[/tex]

[tex] \implies \frac{1}{ \text{f}} = \frac{1}{ \text{v}} - \frac{1}{ \text{u}} [/tex]

[tex] \implies \text{f} = \frac{1}{24} - \frac{1}{48} = \frac{2 - 1}{48} = \frac{1}{48} [/tex]

[tex] \text{f} = 48 \text{cm}[/tex]

[tex]\underline{ \text {According To Question,}}[/tex]

[tex] \text{24cm is the distance of object from lens,}[/tex]

[tex] \text{m} = \frac{ \text{v}}{ \text{u}} \\ \\ \implies \frac{1}{2} = \frac{ \text{u}}{24} [/tex]

[tex] \therefore \text{v} = \frac{24}{2} = 12 \text{cm}[/tex]

[tex] \implies \frac{1}{ \text{f}} = \frac{1}{ \text{v}} - \frac{1}{ \text{u}} [/tex]

[tex] \implies \frac{1}{ \text{f}} = \frac{1}{12} - ( \frac{1}{ - 24} )[/tex]

[tex] \implies \frac{1}{ \text{f}} = \frac{1}{12} + \frac{1}{24} = \frac{2 + 1}{24} = \frac{3}{24} [/tex]

[tex] \implies \text{f} = \frac{24}{3} = 8 \text{cm}[/tex]

Hope this helps

To predict whether a star will ultimately become a black hole, what is the key property of the star we should look at?.

Answers

A star will ultimately become a black hole when it collapses due to end of fuel.

Which star becomes a black hole?

When a star burns through the last of its fuel, the object may collapse, or fall into itself. For smaller stars which are about three times the sun's mass, the new core will become a white dwarf but when a larger star collapses, it turns into a black hole.

So we can can conclude that a star will ultimately become a black hole when it collapses due to end of fuel.

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If an electron is released at the equator and falls toward earth under the influence of gravity, the magnetic force on the electron will be toward the

Answers

Using Fleming’s left hand rule,

The magnetic force on the electron will be west. Example: If it is dropped above the equator in Africa, the electron will head towards North America.

how do greenhouse gases affect global temperatures​

Answers

Answer:

Less heat radiates into space, and Earth is warmer

help me with this plsssssssssssssss

Answers

Answer:

D

Explanation:

The digestive system does all of these functions

the stomach and small intestine breaks down foodthe small intestine absorbs nutrientsthe large intestine eliminates waste

all these components (and more) make up the digestive system.

if you are unsure, visit bbc bitesize for more information.

The water was used to power a generator, creating _______________ energy

Answers

Answer:

electric

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The objects shown in the following diagrams have different masses and are different distances apart. Which diagram shows the two objects that have the greatest force of gravity acting between them?

Answers

Answer:

C. 10kg to 10kg

Explanation:

You have to picture to it I think

Where are globular clusters located in the milky way?.

Answers

Answer:

Globular star clusters are located in the great spherical halo.

Explanation:

Hope this helps! :)

My Noacid performs a physics lab to determine the speed of sound inside a tube. She blocks off one end of the 120. 0 cm tube with a book and places a microphone at the other end. When she snaps her finger she determines the time for the sound to get back to the microphone is. 00695 s. What was the speed of sound that day

Answers

The speed of sound inside a tube when she snapped her finger is determined as 345.32 m/s.

Speed of the sound

The speed of the sound wave can be determined by applying echo formula as shown below;

v = 2d/t

where;

d is the distance traveled by the sound wave = 120 cm = 1.2 mt is the time when the sound wave was heard = 0.00695 s

Substitute the given parameters and solve for speed.

v = (2 x 1.2)/(0.00695

v = 345.32 m/s

Thus, the speed of sound inside a tube when she snapped her finger is determined as 345.32 m/s.

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If there were no external forces acting on the two pucks, their complex motion could be described as the combination of the uniform linear motion of the center of mass and a uniform circular motion of the pucks about the center of mass. Describe how well your results agree with this expectation, and explain any deviations that you observe from the predicted behavior

Answers

The absence of external forces will make the pucks move in the form of a uniform circular motion.

What is a circular motion?

It should be noted that a circular motion simply means the movement of an object along the circumference of the circle.

In this case, the absence of external forces will make the pucks move in the form of a uniform circular motion.

If the friction is absent, the pucks will continue to move on the same path due to the first law of Newton and the law of conversation of energy. In this case,the results will match the predictions until there's loss in energy.

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Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

Gases that are very good at absorbing long wave photons of infrared light

Explanation:

Green house gases examples are Carbon monoxide, nitric oxide etc.These gases absorb long wave photons of infrared light of sun's rays They melts the glaciers and increase the sea level .

The three fundamental colors of visible light are red, green and blue. Why does a yellow T-shirt appear yellow to you

Answers

This one is leisure for people with common sense. Yellow is an assortment of two of the rudimentary colors, red and green. Yellow appears yellow because red light is being imaged in our eyes, so that's one thing. Green reflections are capable of being enthralled by the shirt; hopefully, this should be meticulous adequate for you to have a basic understanding of this "phenomenon". Cheers!

A yellow T-shirt appear yellow to human eye because it reflects both red and green lights and our eye detects it as a combination of two fundamental colors (red and green), which is yellow.

What is color?

Color is a perception. Our eyes sense something (the sky, for instance), and information is transferred from our eyes to our brains informing us that it is a particular color (blue). Different combinations of wavelengths of light are reflected by objects. When our brains detect certain wavelength combinations, they transform them into the phenomena known as color.

There has three fundamental color: red, blue and green. Red and green lights are combined to create yellow light. If a shirt reflects both red and green light, it appears yellow to human eyes. These two fundamental colors of light must be present in the incident light for red and green light to reflect yellow light to human mind.

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The vertebral region is _________ to the scapular region.

Answers

Answer:

The answer is medial!

Explanation:

The vertebral region is medial to the scapula.

Hope This Helps!

-Justin:)

Infrared, ultraviolet and visible light are all part of the electromagnetic spectrum. The basic difference between them is their.

Answers

Answer:

The basic difference is wavelength (frequency)

ultraviolet < visible < infrared where the visible spectrum lies at

4000 - 7000 Angstroms =  400 - 700 millimicrons (10^-9 meters)

Tjhe shorter wavelengths (ultraviolet) carry more energy / photon

Who discovered the basic laws of planetary orbits?.

Answers

Answer:

kepler

Explanation:

While Copernicus rightly observed that the planets revolve around the Sun, it was Kepler who correctly defined their orbits. At the age of 27, Kepler became the assistant of a wealthy astronomer, Tycho Brahe, who asked him to define the orbital mars

According to the inverse square law, the force due to gravity between two masses will _____________.

Answers

Answer:

The inverse square law proposed by Newton suggests that the force of gravity acting between any two objects is inversely proportional to the square of the separation distance between the object's centers.

Explanation:

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With upward speeds of 12.5 m/s, the elevators in the Yokohama Landmark Tower in Yokohama, Japan, are among the fastest elevators in the world. Suppose a passenger with a mass of 70.0 kg enters one of these elevators. The elevator then goes up, reaching full speed in 4.00 s. Calculate the net force that is applied to the passenger during the elevator's acceleration.

Answers

The net force that is applied to the passenger during the elevator acceleration is 218.75 N.

What is net force?

This is the single force obtained from the combinatiion of two or more forces

To calculate the net force that is applied to the passenger during the elevator's acceleration, we use the formula below.

Formula:

F = m(v-u)/t............ Equation 1

Where:

F = forcem = massv = Final velocityu = initial velocityt = time.

From the question,

Given:

m = 70 kgu = 0 m/sv = 12.5 m/st = 4 s

Substitute these values into equation 1

F = 70(12.5-0)/4F = 218.75 N

Hence, The net force that is applied to the passenger during the elevator acceleration is 218.75 N.

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