If an amount of heat Q is needed to increase the temperature of a solid metal sphere of

diameter D from 4°C to 7°C, the amount of heat needed to increase the temperature of a solid

sphere of diameter 2D of the same metal from 4°C to 7°C is

A. 8Q

B. 40

C. 20

D. Q

Answers

Answer 1

As a result, X heat required = 27Q is the amount of heat needed to raise the temperature.

Calculation

first case

Q = Specific Heat * Density of Sphere* (4/3*pi*D^3) * (7-4)     -1

Second case

X = Specific Heat * Density of Sphere* (4/3*pi*(3D)^3) * (7-4)    -2

Dividing 1 and 2 we get

Q/X = 1/27

27

How does the heat equation's Q work?

where Q is the amount of heat that is transported to or from the item, m is the object's mass, C is the material's specific heat capacity, and T is the resultant temperature change of the object.

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Related Questions

Is there any difference between antimatter, dark matter, dark energy, and degenerate matter?

Answers

Yes. Antimatter, dark matter, dark energy, and degenerate matter are all distinct entities that actually exist in our universe, despite their names sounding hazy and almost fictitious.

Is there a distinction between dark energy and dark matter?

Dark energy and dark matter are not the same, despite the name. The only difference is that both are invisible. Galaxies are pushed apart by dark energy, while dark matter holds them together.

Which of the three kinds of dark matter exists?

Candidates for dark matter can be either baryonic or non-baryonic, or a combination of the two. Most of the time, the non-baryonic forms fall into two categories: Hot Dark Matter (HDM) and Cold Dark Matter (CDM).

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A elastic spring is compressed by an amount x. Show that its P.E. is 1/2 kx2
where k is the spring constant.

Answers

Answer:

The potential energy (P.E.) stored in an elastic spring is equal to the work done in compressing or stretching the spring.

When a spring is compressed or stretched, the force required to do so is given by Hooke's law, which states that the force F required to compress or stretch a spring by an amount x is given by

F = kx, where k is the spring constant.

The work done in compressing or stretching a spring is equal to the force required to do so multiplied by the distance over which the force is applied.

In the case of a spring, this distance is equal to the amount x by which the spring is compressed or stretched.

Therefore, the work done in compressing or stretching a spring is given by

W = Fd = kx * x = kx^2.

The potential energy stored in the spring is equal to the work done to compress or stretch it.

Therefore, the potential energy of a spring that is compressed by an amount x is given by P.E. = W = kx^2.

Substituting kx^2 = 1/2 kx^2, we find that

P.E. = 1/2 kx^2.

This shows that the potential energy stored in an elastic spring is equal to 1/2 times the spring constant multiplied by the amount x by which the spring is compressed or stretched.

Explanation:

In a comic book, Superman carries a bus (with a bomb on board) up into the air, hovers for a second and then
throws the bus over the horizon while he stays hovering. How does this situation break the law of conservation
of momentum? What should have happened instead? Why?

Answers

This situation breaks Newton's Second Law of motion which states that for every action there is an equal and opposite reaction.

It could have been ideal if the force exerted on the bus by superman should also be exerted on superman by the bus because if we use the equation F=m*a, since superman's mass is so much less than the mass of the bus, he should experience a much higher acceleration than the bus does.

What is the second law ?

Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body and it states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.

Newton’s second law is one of the most important in all of physics. For a body whose mass m is constant, it can be written in the form F = ma, where F (force) and a (acceleration) are both vector quantities.

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What is the sound intensity level of a sound with an intensity of 4.0×10−6 W/m2 ?
Express your answer in decibels.

Answers

Answer: 66.02dB

Explanation: We use the equation β=(10dB)㏒([tex]\frac{I}{I_0}[/tex])

[tex]I_{0}[/tex]= the threshold of hearing which is 1.0×[tex]10^{-12}[/tex]W/[tex]m^{2}[/tex]

Plug in our knowns β=(10dB)㏒([tex]\frac{4.0*10^{-6} }{1.0*10^{-12} }[/tex])=66.02dB

A car drives to the right. There is a large amount of air resistance, and the car's engine provides the car's forward motion. Which force on the free-body diagram below represents the normal force acting on the car?

Answers

A force on the free-body diagram above which represents the normal force acting on the car include the following: D. Force A.

What is a free-body diagram?

In Science, a free-body diagram can be defined as a graphical illustration which is typically used in the field of science to visualize moments, tension, and applied forces that are acting on an isolated or rigid object (body), while using arrows to point in the direction of these forces.

Since this car was driven to the right, with a large amount of air resistance acting on it, and its engine provides the forward motion, we can reasonably infer and logically deduce that the normal force which is acting on the car is represented by Force A as illustrated by the free-body diagram shown in the image attached above.

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Why is dynamic stretching recommended before activity?

Answers

Dynamic stretching is recommended before activity because it helps to prepare the muscles for the upcoming activity.

It increases range of motion, flexibility, and muscular coordination, and also helps to increase blood flow to the muscles. This helps to improve the performance of the muscles and reduce the risk of injury. Additionally, dynamic stretching helps to improve the overall physical conditioning of an individual, which is beneficial for any type of physical activity.

Dynamic stretching is typically recommended for individuals preparing for physical activity. Dynamic stretching involves movements that gradually increase in range of motion and muscle length, such as arm swings, leg swings, and torso twists.

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An object with a negative charge of 1.2 mC exerts an attractive force of 13.6 N on a second charged object
0.072 m away. What is the charge and polarity (positive or negative) of the 2nd obiect?

Answers

Answer: N 0.072

Explanation:

First thing i did was figure out what the negative charge was originaly

The charge and the polarity of the 2nd object is 0.072 N.

What is Force?

Contact forces are the kinds of forces that develop when two objects interact and appear to be in physical contact with one another.

Frictional forces, tensional forces, normal forces, air resistance forces, and applied forces are a few examples of contact forces. Lesson 2 and subsequent lessons will cover these particular forces in greater depth.

Action-at-a-distance forces are those that happen even when the two interacting objects are not physically touching each other but are nevertheless able to push or pull against each other despite their physical separation.

Therefore, The charge and the polarity of the 2nd object is 0.072N.

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The work W required to lift an object varies jointly with the object's mass m and the height h that the object is lifted. The work required to lift a 120-kilogram object 1.8 meters is 2116.8 joules. Find the amount of work required to lift a 150-kilogram object 1.6 meters.

Answers

The work W required to lift an object varies jointly with the object's mass m and the height h that the object is lifted. The work required to lift a 120-kilogram object 1.8 meters is 2116.8 joules is 1,372J.

What does physics mean by a work done?

In physics, the term "work" refers to the measurement of energy transfer that takes place when an item is moved over a distance by an external force, at least a portion of which is applied in the direction of the displacement.

Work done can be computed using the formula:

[tex]w=Fd[/tex]

Where:

W = work (J)

F = Force (N)

d = Distance (d)

Looking at the given, you know that you do not have a value for force, so you will have to solve for it. 

[tex]F=Ma[/tex]

Where:

F = Force

m = mass

a = acceleration

Because the object is being lifted, the acceleration will rely on gravity. Acceleration due to gravity is a constant 9.8 m/s^2. Let's list our given first:

F = ?

m = 100kg

a = 9.8m/s^2

Put that into our equation and solve:

[tex]F=mA\\F=100*9.8\\F=980Kg.m/s^{2}[/tex]

Our force is then 980 N. 

Now that we have force we can solve for Work. The given for work is as follows:

F= 980N

d = 1.4mPut that into our formula and solve:

[tex]W=Fd[/tex]

[tex]W=(980)*(1.4)\\W=1372[/tex]

The work done is 1,372J.

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In about 6 billion years, the Sun will become a red giant. This will not be a problem for humanity because

Answers

The sun will become a red giant but it will not be a problem for humanity because the Earth will become inhabitable before that.

As per the research conducted it is said that the sun will eventually become a red giant and it engulf our planet Earth. The Earth will become extremely giant. This in turn will not become a problem for humanity, flora and fauna as the Earth will be completely inhabitable. All the forms of life will completely perish and no life form will exist. The planet will be engulfed by the red giant Sun. This is the reason it is not a problem for humanity.

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8. An object was lifted to a height of 1234 cm. The object gained a gravitational potential energy of 4321 J. What was the mass of the object in grams?


9. An apple has a mass of 150g, when the apple is at a height of 1.9 m on an unknown planet, the apply has a GPE of 190 J, what is the value of gravity on the unknown planet?


10. A banana has a mass of 183g, when the apple is at a height of 2.8 m on an unknown planet, theapply has a GPE of 250 J. what is the value of gravity on the unknown planet?

Answers

Question 8. The mass of the object is approximately 36.091 grams.

Explanation for question 8. The formula for gravitational potential energy is given by:

GPE = mgh

where GPE is the gravitational potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height to which the object was lifted.

We can rearrange the formula to solve for m:

m = GPE / (gh)

Plugging in the values given, we have:

m = 4321 J / (9.8 m/s^2 * 1234 cm)

Converting the height to meters and expressing the mass in grams, we get:

m = 4321 J / (9.8 m/s^2 * 12.34 m) = 4321 J / 119.852 m^2/s^2 = 36.091 grams

Therefore, the mass of the object is approximately 36.091 grams.

Question 9. The value of gravity on the unknown planet is approximately 15.16 m/s^2.

Explanation for question 9. The gravitational potential energy of an object is given by the equation:

GPE = mass * gravity * height

Rearranging this equation to solve for gravity, we get:

gravity = GPE / (mass * height)

Plugging in the values you provided, we get:

gravity = 190 J / (150 g * 1.9 m)

Converting the mass to kilograms (150 g = 0.15 kg) and performing the calculation, we find that the value of gravity on the unknown planet is approximately 15.16 m/s^2.

Question 10. The value of gravity on the unknown planet is approximately 10.3 m/s^2.


Explanation for question 10. In order to find the value of gravity on the unknown planet, you need to use the formula for gravitational potential energy (GPE), which is:

GPE = mass * gravity * height

You can rearrange this formula to solve for gravity:

gravity = GPE / (mass * height)

Plugging in the values you provided, you get:

gravity = 250 J / (183 g * 2.8 m)

Solving this equation, you find that the value of gravity on the unknown planet is approximately 10.3 m/s^2.



How much work is needed to overcome friction in a machine
depends on the machine's [blank]

Answers

The force that prevents motion between any two surfaces that are contacting is called friction. Every machine has friction because it involves motion. As a result, efficiency is never 100 percent.

What proportion of the work a user inputs into a machine is actually completed by the machine?

Efficiency is the proportion of user-inputted work (input work) that is converted into output work by a machine (output work). Because some of the input work is used to overcome friction, the output work is always less than the input work.

Do all devices eliminate friction?

The force that would grow or decrease in the absence of friction is reflected in the ideal mechanical advantage of a machine. It is consistently larger.

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A worker uses a pulley (Links to an external site.) system to raise a 225 N carton 16.5 m. A force of 129 N is exerted and the rope is pulled 33.0 m. What is the IMA of the system

Answers

Answer: 1.74

Explanation: “How do you calculate the mechanical advantage of a block and tackle pulley?To calculate the mechanical advantage, we can either divide the weight of the object being lifted by the force required to lift it or we can divide the amount of rope we have to pull by the distance the object moves."If we use the rope method the mech advantage is  33.0/16.5 = 2   now if we use the forces   MA = 225/129 =1.74 <==== this is not equal to '2' as we first found due to energy being lost to friction/deformation of rope etc.              SO I would say the truemechanical advantage = 1.74  Efficiency =  1.74/2 = 87%

A spring gains 2.34 joules of elastic potential energy as it is compressed 0.250 meter from its equilibrium position. What is the spring constant of this spring

Answers

According to the given information the spring constant is 74.9 J N/m

What are Joules Joules?

joule, unit of work or energy in the International System of Units (SI); it is equal to the work done by a force of one newton acting through one metre. Named in honour of the English physicist James Prescott Joule, it equals 107 ergs, or approximately 0.7377 foot-pounds.

What does Joules sell?

Established in the British countryside by Tom Joule in 1989, Joules is a true premium lifestyle brand with an authentic heritage. Now a truly multi-channel business, Joules designs and sells clothing, footwear, accessories, homeware, gifting and lifestyle product collections for all the family.

= PEs = 16kx² 234)

= 1/2k(25mm)² K

= 74.9 J N/m

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Consider you are X units in distance from a light source. You receive Y unit of light per unit time. You have to be _____ X units in distance from the light source in order to receive 4Y unit of light per unit time.

Answers

when it takes 4x units of distance from the light for you to receive 4Y units of light in a given amount of time.

What is a distance?

Distance is a measurement of the separation between two things or locations, either quantitatively or qualitatively. A physical distance or perhaps an estimate relying on other physics- or usage-related characteristics can both be referred to as distance. The phrase is also employed metaphorically to denote a measurement of the degree of distance between two common pieces since spatial intelligence is a rich source of implicatures in human understanding. The majority of these concepts of distance, both literal and figurative, are codified using the idea of a metric space.

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A truck was traveling at 24 m/s in came to a stop in 8 seconds. What was the truck's average acceleration over
that time period?
-3 m/s²
2 m/s²
3 m/s²
16 m/s²

Answers

Answer:

-3 m/s

Explanation:

how I don't know I just guessed but now yall know

He watched as night gave way to sunrise, dimming the stars in the sky. What is the meaning of dimming as it is used in the sentence

Answers

It is believed that human activity has increased the amount of particulates or aerosols in the atmosphere, including sulfate aerosols.

Dimming: What kind of word is that?

dimmed, dimming, verb (used with subject), dimmeddull or make dimmer. to change (a vehicle's headlights) from high to low beam.dimmed, dimming, verb (and use it without object), dimmed

Dim sum – how to use in a sentence?

The restaurant's dim sum was quite well-liked.On the weekends, waiters drive a cart that contains the dim sum in the old-fashioned manner.

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Every year, new records in track and field events are recorded. Let's take a historic look back at some exciting races. On August 20, 1989, in Cologne, West Germany, Said Aouita of Morocco also established a world record when he ran the 3000. m run in 7 minutes, 29.45 seconds. What was his average speed (in m/s) for the race

Answers

Said Aouita's average speed for the race was 12.089 m/s. To calculate this, we need to divide the total distance (3000 meters) by the total time (7 minutes and 29.45 seconds).

Converting the time to seconds, we get 449.45 seconds.

Therefore,

3000 / 449.45 = 12.089 m/s.

This is an impressive speed for a 3000 m race and it was a new world record at the time. Aouita was the first runner to break the eight minute barrier in the 3000 m, a feat he accomplished in 1987. His world record lasted for almost 3 years until it was broken by Moses Kiptanui in 1992. Aouita's world record is a testament to his incredible speed and endurance.

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Jocelyn stood in the middle of a trampoline causing the springs around the edge to stretch. Her identical twin, Jennifer, who has the same mass, joined her in the center of the trampoline Which statement best describes the effect this had on the springs? A The springs maintained the same amount of displacement B The springs stretched to double the original displacement, C The spring displacement reduced to half of the original displacement

Answers

B. The springs stretched to double the original displacement, is the the statement that best describe the effect this had on the springs.

What is displacement?

The displacement is the shortest distance in geometry and mechanics between the initial and final positions of a point P. From the starting position to the ending position of the point trajectory, it measures the length and direction of the net motion, or total motion, in a straight line. A displacement can be discovered by using the translation that joins the starting point and ending point.

Another way to define a displacement as a relative position is the relationship between a point's final position, or xf, and its starting position, or xi (resulting from motion). The corresponding displacement vector can be defined by the difference between the starting and final positions:

                                            [tex]$ s=x_{\textrm {f}}-x_{\textrm {i}}=\Delta {x}}$[/tex]

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A 1070-kg car starts from rest at the bottom of a drive way and has a speed of 3.00 m/s at a point where the drive way has risen a vertical height of 0.600 m. Friction and the drive force produced by the engine are the only two nonconservative forces present. Friction does -2870 J of work. How much work does the engine do

Answers

In the question the only nonconservative forces in play are friction and the engine's motive force. Work done by friction is -2870 J. The work done by the engine is 1285 J.

The work done by an engine can be determined by the change in kinetic energy of the car. The work-energy principle states that the net work done on an object is equal to its change in kinetic energy. The initial kinetic energy of the car is 0 J (at rest) and the final kinetic energy of the car is 1/2mv^2, where m is the mass of the car and v is its final speed. The work done by the engine is equal to the change in kinetic energy of the car, which is the final kinetic energy minus the initial kinetic energy.Work_engine = change in kinetic energy = (1/2)mv^2 - 0

Work_engine = (1/2)(1070)(3)^2 = 4155 J. The work done by friction is -2870 J, which is negative because it is opposing the motion of the car. The net work done by nonconservative forces is the sum of the work done by the engine and the work done by friction. Net work = Work_engine + Work_friction = 4155 J + (-2870 J) = 1285 J. Therefore, the work done by the engine is 1285 J.

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What cells are missing in SCID?

Answers

The term "combined immunodeficiency" refers to a genetic abnormality that affects T cells as well as at least one other kind of immune cell in SCID patients.

According to which immune cells—T, B, and/or NK cells—are damaged, different types of SCID are categorized. The deadly illness known as severe combined immunodeficiency (SCID) is caused by a variety of hereditary factors and is defined by severe impairments in T and B cell activity as well as, in some kinds, NK cell function.

X-SCID B cells typically have normal numbers, but they perform abnormally because IL-21 signaling, which is vital for the B-cell lineage's maturation, differentiation, and activation, is compromised (4, 5). Patients with SCID who receive HLA-identical transplants have a survival rate of about 90%. (3, 6).

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What is momentum moment Mcq?

Answers

Moment of momentum, which describes the rotating inertia of a system moving about an axis, gauges an object's propensity to keep spinning.

How do you gain traction?

List the object's mass and speed in step one. Convert any values into SI units in step two (kg, m, s). Step 3: To calculate an object's momentum, multiply the object's mass and velocity.

Can there be negative momentum?

Momentum can go wrong. As a vector quantity with both magnitude and direction, momentum has both. The sign, positive or negative, in physics serves as a cue as to the direction. Positive amounts normally signify a forward or upward motion, whereas negative quantities typically indicate a backward or downward motion.

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What is moment momentum?

An object has a density of 3.25 kg/m?. If it has a total volume of 12.65m?. What is the object's mass?

Answers

Answer:

The object's mass is 41.1125 kilograms.

Explanation:

We can use the general density equation to determine the mass.

Density Equation

[tex]p=\frac{m}{V}[/tex]

[tex]p[/tex] is the density

[tex]m[/tex] is the mass

[tex]V[/tex] is the volume

Lets solve for [tex]V[/tex].

Multiply both sides of the equation by [tex]V[/tex].

[tex]p*V=\frac{m}{V}*V[/tex]

Cancel out the common factor of [tex]V[/tex] on the right side.

[tex]pV=m\\m=pV[/tex]

Now we have an equation for mass.

We are given

[tex]p=3.25[/tex]

[tex]V=12.65[/tex]

Substituting our values into our equation gives us

[tex]m=3.25*12.65\\m=41.1125[/tex]

Notice the unit of the given density

[tex]kg/m[/tex]

Our answer will be in kilograms

Look at the diagram below. Calculate the present resistance of the variable resistor if the ammeter is reading 0.8A.

Answers

According to the given statement The variable resistor has a resistance value of 275Ω.

A variable resistor's resistance is, what?

A variable resistor's third terminal allows the user to adjust the resistance between zero and a predetermined maximum value. You can notice consistent resistance exists between the terminals 1 and 3 of the variable resistor when the circuit diagram in Figure 4 is closely studied.

Variable resistance: How does it work?

Changing the path that current must take allows a variable resistor to function. A conducting metal or ceramic strip that is connected to one area of the circuit is located inside the resistor. Another wire will be moved inside the resistor as you turn the dial.

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The complete question is -

Calculate the present resistance of the variable resistor if the ammeter is reading 0.8A. What is resistance value ?

What magnitude of force, in newtons, must an 82.5-kg grouper exert to stay submerged in salt water (with density 1025 kg/m3) if its body density is 1015 kg/m3

Answers

The magnitude of force, must an 82.5-kg grouper exert to stay submerged in salt water is 8.12 N.

To find the magnitude of force that the grouper must exert to stay submerged, we can use the buoyancy force equation, which states that the buoyancy force is equal. The buoyancy force is equal to the weight of the fluid displaced, which is the density of the fluid multiplied by the volume of the fluid displaced and the gravitational acceleration. The volume of the fluid displaced is equal to the volume of the object and can be found using the equation of volume of an object. The weight of the object can be found by multiplying the mass of the object and the gravitational acceleration.

The net force on the object is the difference between the buoyancy force and the weight of the object.

= Fb

= V * (density of fluid - density of object) * g

= Fb

= (82.5 kg / (1015 kg/m3) ) * (1025 kg/m3 - 1015 kg/m3) * 9.8 m/s^2

= Fb

= 8.12 N

The magnitude of force that the grouper must exert to stay submerged is 8.12 N

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A box of weight 150 N is placed on

an inclined plane. The component

of the box's weight acting along

the plane is given by W'. What

would be the value of W", in

Newtons?

Answers

The value W' along inclined plane = (150 sin α ) N

W = m x g = 150 N --> based on case

W = weigth

m = massa

g = gravity acceleration

Fn = Normal force

Fn = m x g x cos α = W cos α = 150 N x cos α

W’ = m x g x sin α = W sin α = 150 N x sin α

Since the angle α is not known it will be still variable, so we could say that the W’ = (150 sin α ) N

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An argon ion laser emits light at 488 nm. What is the frequency of this radiation

Answers

The frequency of the radiation will be 6.098 x 1014 Hz.

The frequency of a radiation is measured in hertz (Hz) and is the number of complete cycles per second of a wave. It is commonly used to measure electromagnetic radiation, such as radio waves and x-rays.

An argon ion laser emits light at a wavelength of 488 nm.

To find the frequency of this radiation, we need to use the equation f = c/λ, where

c is the speed of light (299,792,458 m/s) and

λ is the wavelength in meters.

Plugging in 488 nm (or 0.000488 m) for λ gives us a frequency of 6.098 x 1014 Hz.

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where does sound travel faster(the desert or the forest)?

Answers

Answer:

forest

Explanation:

cause of the echo

Answer:

forest

Explanation:

very spacious enough to make echo

A spinning disk has an initial angular speed of 12.5 rad/s. It is pushed by a kid with a constant angular acceleration of 3.41 rad/s2. a) What will be the angular speed in 5.26 s. What will be the angle turned in 5.26 s

Answers

The angle turned in 5.26 s is 6470 degrees. An initial angular speed of 12.5 rad/s and a constant angular acceleration of 3.41 rad/s2 are the characteristics of a pulley.

Does acceleration affect angular velocity?

The angular acceleration provides the rate of change of angular velocity, just like in the case of linear velocity and acceleration: The rate at which the angular velocity varies is determined by the angular acceleration's magnitude, and the change's direction is determined by the direction.

What is the formula for angular acceleration?

The rate at which angular velocity changes is referred to as angular acceleration. In an equation, angular acceleration is written as follows: = t, where t is the change in time and is the change in angular velocity.

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a book with a mass of 0.25 kg is lifted 2 m onto a bookshelf. how much gravitational potential energy does it gain? ( g = 10 N/kg)​

Answers

Gravitational Potential Energy = mass x gravity x height

(Gpe=mgh)

0.25 x 10 x 2 = 5J

A car slows down at -5.00m/s^2 until it comes to a stop after traveling 15.0m. What was the initial speed of the car?

Answers

The steady deceleration of a car traveling at 15 m/s starts. After ten seconds, it abruptly ends. starting speed of the vehicle

What is the physics of speed?

When subtracting the distance even by travel time, speed is calculated. The distance and time information must be understood in order to calculate the pace units. The measurements in the this case will be performed in meters per second (m/s), as the length was measured in meters and the time is stated in minutes (s).

What connection exists between speed and velocity?

Velocity is the rate and direction of an object's motion, whereas speed is the rate at which an object moves along a path over time. In other words, whereas speed is in fact a scalar value, velocity is a vector.

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Question 19 of 20 Which statement best describes the cause of division in the United States during the 1850s? A. Northern states wanted lower tariffs, while southern states wanted higher tariffs. B. Southern states wanted to abolish slavery, while northern states wanted slavery to spread to new territories. C. Northern states wanted to abolish slavery, while southern states wanted slavery to spread to new territories. D. Southern states wanted fugitive enslaved people freed, while northern states wanted them returned to their enslavers. How do you know if a linear system has one solution? Can someone help me find x for both 10c. What other sequence of transformations would produce the same final image from the original pre image? Check your answer by performing the transformations Then make a conjecture that generalizes your findings. What color light does a leaf reflect? Sophia buys 11 bottles of pineapple juice at the corner store for a total cost of $9.90. Assume each bottle of juice is the same price. If c represents the total cost in dollars and cents of the juice for any number, j, of bottles of juice, write a proportional equation for c in terms of j that matches the context. How do I do that PLEASEEE HELP ASAP!!After reading Meet Me at the Clock, what do you think the theme of this poem is? The poem is attached below.I also need help with another question that is also attached.Whoever answers first and correctly gets brainlist!! Which property is demonstrated below?a times c = c times a A. associative property B. distributive property C. commutative property D. identity property help me please :(help:( Find the percent decrease from 133 to 120. Round your answer to the nearest tenth In Baseball, the batting average is the number of hits over the number of at bats. Player A has a greater batting average than Player B in the first half of the season and the second half of the season. Is it possible that Player B would have a higher batting average for the entire season.Is it necessarily true that Player A's batting average for the entire season is greater than Player B's?Batting Average (as I understand it) is number of hits divided by number of at bats.I wrote a proof (which is flawed) showing that the answer is: Yes. The text's author says the answer is: No.Will somebody please provide me with a counterexample? URGENT: What process helps a web developer to prevent mistakes while helping provide solutions to a customer? Which form is not a type of program music?Responsesart songsymphonic poemprogram symphonyconcert overture Which of the following best explains a factor that led to President Johnson's impeachment? Johnson removed Edwin Stanton from his office. Thomas Nast stepped down from his position in Congress. Congress felt Johnson was too supportive of Radical Republicans. President Johnson and Congress worked together with the same political goals. A pizza has an 18 inch diameter and is sliced into 12 pieces. What is the length of the crust on the edge of one piece of pizza?answers: 3 pi4.5 pi6 pi 1.5 pi Eric picks 5/8 basket of strawberries. Kiki picks 1/5 basket of strawberries. Which answer is the most accurate estimate for how many more baskets of strawberries Eric picks than Kiki? What are 2 examples of culture? The graph shows money in dollars as a function of timein days. Write an equation for the function, anddescribe a situation that it could represent. Include theinitial value, rate of change, and what each quantityrepresents in the situation. Petroleum is a fossil fuel containing many different carbon compounds. If the carbon atoms in petroleum have been in the ground for 100 million years, what fraction of the initial 14C atoms is still there Sep Obtain Information What are the Limitations to Making Progress with Engineering Better Batteries ? What progress have Battery Engineers Made?