One end of a spring with a constant of 9.0 N/m is attached to the ceiling, and a 1.6 kg block hangs from the other end at rest to initiate simple harmonic motion, you gently pull the block down through a vertical distance of 4.4 cm and then release it. The block oscillates in vertical simple harmonic motion How long does it take the block to first reach its highest position after you release it?​

Answers

Answer 1

The correct answer is t = 0.21 sec.

Spring constant  K = 9.0 N/m

Mass of the block = m = 1.6 kg

If the block is stretched away from equilibrium paint by distance y then restoring force is

F_(restoring) = ky = ma

a = (k/m) y

Angular frequency is w = √k/w

Time period of oscillation is T = 2π/ω

T = 2π √m/k

T = 2π × √ 1.6/9.0 sec

T = 0.421 sec

Initially block is released from negative extreme (y =-A)

When block is released from positive extreme ( y = +A)

for first time then it completes half of the complete oscillation. So time taken is equal to half of the time period t= T/2 = 0.421/2 sec

t = 0.21 sec

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Related Questions

As you move along the x axis, what changes?


A. The number of sprouted bean seeds increases.

B. The temperature increases.

C. Both A and B.

D. None of the above.

Answers

Answer:

Because the temperature Would Most likey increase And same with the Beans! :D <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3

Explanation:

Im pretty sure the answer is A and B

A patient is weighted by a scale on a deep-sloped floor part. The reading is the component of weight perpendicular to the slop. The reading is ___ the true weight.

A- more than
B- half of
C- less than
D- the same as

Answers

Answer:

Measuring a patient's body weight can be done to Assess and monitor fluid and nutrition status as part of a nutrition screening tool. Calculate drug doses. Calculate nutrition and fluid support if required. Monitor the effectiveness of nutritional support.

Explanation:

Question 1
Describe the motion of an object that is being affected by the four (4)
components of forces on a solid surface, in water and in air.
Edit View Insert Format Tools Table
12pt v Paragraph
30 pts
BIUA 2
2
T² :
|



Answers

When I started exercising consistently in my late 30s, I experienced firsthand the profound effects exercise has on both the body and the brain. Honestly, these realizations completely changed my inspiration to go to a recovery center.

It started when a powerboat tripped in Peru's mighty Cotahuasi Channel in one of the deepest valleys on earth. On this voyage, I found that although I was healthy, I was not as healthy as my relatives in the channel rafters.

There was a 16-year-old on a school trip who had more endurance than me, and a 60-year-old who had more endurance than me. I realized I had to take care of business. you are balanced These forces cancel each other out and the motion of the bodies they act on remains unchanged.

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Force has four components: its magnitude, its direction, point of application, and course of action.

A force acting on an item causes it to change shape or size, to move, to stop moving, to accelerate or decelerate. When two things come in contact, they exert a force on each other that is equal in size but opposing in direction.

Magnitude: The magnitude of the applied force is proportional to the object's mass and displacement. The greater the mass of the body, the greater the magnitude of the force used to push or pull it. The standard unit for force magnitude is named after Isaac Newton. As a result, the SI unit is N, newton.Direction: The force is acting in the same direction as the item. When the interaction ends, the force is no longer felt by the two objects. The force is directed perpendicular to the motion of the object. Forces arise exclusively as a result of contact.Point of application: The point of application is a weighted average position determined by the amount of force exerted. If the force were uniform, that would be the center. Because it isn't, and it's stronger closer to the long wire, the point will be shifted somewhat to the left of the center.Line of action: A force's path of action F denotes the geometric depiction of how force is exerted. It is the line that passes through the location where force is applied in the same direction as the vector F.

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A bird glides for 24 minutes and covers 2.6 kilometers. What was its average speed?

Answers

Answer:

6.5 km/ h

Explanation:

24 minutes = 24/60 = 0.4 hours

v = 2.6 / 0.4 = 6.5 km/h

Hope this helps

I walk 800 meters East, and then turn and walk 1200 meters North. What was my total distance?

Answers

Answer:

2,000

Explanation:

Answer: 2000 meters would be the distance you walked, but if you need it in feet, it is 6,561.67979.

Explanation: 1 meter = 3.28 feet.

A cart moving across a level surface accelerates
uniformly at 1.0 meter per second² for 2.0
seconds. What additional information is
required to determine the distance traveled by
the cart during this 2.0-second interval?

Answers

The initial velocity of the cart.

Newton, There can be a mass is four.080, So acceleration might be equal to 2.50 m in step with cent within the rectangular. Initial is that amount that relies upon total mass. The greater mass the more inertia. So Mass is 2000 kg and acceleration is 3 ms square. So this offers us an internet pressure identical to 6000 newtons or 6.0 and 210 to the power

In case you roll a ball, it initially will keep rolling except friction or something else stops it by means of pressure. you could also think about the way that your body maintains transferring ahead when you hit the brake on your bike. Translational Inertia = ma, in which m is the mass, and a is the acceleration of the object. Calculate the rotational inertia or the instant of inertia velocity by way of multiplying the mass of the object with a square of the gap between the item and the axis, the radius of rotation.

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The speed of light is 300,000 km/sec. What is the frequency in Hz if the wavelength is λ=0.70 X 10^-6 m?​

Answers

The frequency in Hz if the wavelength is 0.70 X 10-⁶ m is 4.3 × 10¹⁴ Hz.

How to calculate frequency?

The frequency of a wave can be calculated by dividing the velocity of the wave by the wavelength as follows:

f = v/λ

Where;

f = frequency (Hz)v = velocity (m/s)λ = wavelength (m)

According to this question, the wavelength of a wave is given as 0.70 X 10-⁶ m. The speed of light is 3.00 × 10⁸ m/s. The frequency can be calculated as follows:

f = 3 × 10⁸m/s ÷ 7 × 10-⁷m

f = 4.3 × 10¹⁴ Hz

Therefore, the frequency in Hz if the wavelength is 0.70 X 10-⁶ m is 4.3 × 10¹⁴ Hz.

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A 10,000-Ω resistor has a tolerance of 5%. What is the maximum values of this resistor?

Answers

The maximum value of the resistance is 105,000 Ω

What is the maximum value of the resistance?

We are given the following properties of the resistor as;

Resistance =  10,000-Ω

Tolerance = 5%

Now, when we say a tolerance of 5%, it means the value of the resistance can only reduce or increase by a maximum of 5%.

Thus;

For a decrease of 5%, we would get the minimum value of the resistance which is;

Minimum value = (100% - 5%) * 10000

Minimum value = 95000 Ω

Then the maximum value of the resistance is;

Maximum Value = (100% + 5%) * 10000

Maximum Value = 105,000 Ω

Thus, the maximum value of the resistance is 105,000 Ω

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One way to determine the age of Earth is to measure the ratio of certain radioactive elements to their more stable forms. By comparing the amount of the
radioactive form of an object with the stable one, and by knowing how long it takes to turn from one to the other, scientists can estimate the age of the object.
Some people argue that the decay rate has not always been the same and that it can be much faster than scientists have measured in labs.
Nuclear power plants use radioactive elements to produce power because, during the decay process, energy is released.
If scientists are wrong about Earth's age based on radioactive material and the decay rates are really much faster, how would nuclear power plants be affected?
OA. Nuclear fuel would remain useful longer.
OB. The rate of energy release would be higher.
OC. The amount of energy released would be less.
OD. Nuclear fuel would generate less radioactivity.

Answers

Your answer is A I took the same test today

Answer:

A

Explanation:

Relate what is produced during a
supernova to our lives

Answers

Answer:

wow

Explanation:

Answer: iron

Explanation: yw

When a 13- kg k g cart undergoes a 1.4 m/s m / s increase in speed, what is the impulse on the cart? Express your answer to two significant figures and include the appropriate units.

Answers

The impulse of the cart is 18.2 kg-m/s

We are required to find the impulse on the cart

It is given to us that mass of cart is 13kg

It is also given that increase in speed is 1.4 m/s

We are required to find the impulse on the cart

Impulse :

Impulse of a body is defined as change in the momentum of the cart.

Impulse I = m(v-u)/t

Now  (v-u)/t is the change in speed and it is given to us that there is increase in speed and hence it must be positive.

(v-u)/t = 1.4m/s

Therefore,

Impulse of cart is equal to its change in momentum:

Putting the value of mass  in the equation, we get:

I = m(v-u)/t

  = 13 x 1.4 = 18.2 kg-m/s

Therefore, the impulse of the cart is 18.2 kg-m/s

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(a) What must the charge (sign and magnitude) of a 1.45-g particle be for it to
remain stationary when placed in a downward-directed electric field of magnitude 650
N/C?
(b) What is the magnitude of an electric field in which the electric force on a proton is
equal in magnitude to its weight?

Answers

The charge is obtained as 2.19 * 10^-5 C the electric field is obtained as 1 * 10^-7 N/C.

What is the charge?

We know that the electric field is the created as a result of the presence of one charge close to another. The magnitude of the electric charge that would make the particle be for it to remain stationary when placed in a downward-directed electric field of magnitude 650 N/C is required here.

a) Recall that the eight is also a force and counterbalanced the electric force hence;

W = mg = Eq

mg = Eq

g = 9.8 m/s^2

1.45 * 10^-3 Kg * 9.8 m/s^2 = 650 N/C * q

q = 1.45 * 10^-3 Kg * 9.8 m/s^2/650 N/C

q = 2.19 * 10^-5 C

b) The charge on the proton is 1.6 * 10^-19 while the mass of the proton is 1.67 * 10^-27 Kg

F= 1.67 * 10^-27 Kg * 9.8 m/s^2 = 1.6 * 10^-26 N

The electric field is obtained from;  1.6 * 10^-26 N/1.6 * 10^-19

= 1 * 10^-7 N/C

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Robert a stunt man projects himself from a height of 50 m in a horizontal direction he safely lands at a horizontal distance of 100 m calculate the horizontal velocity with which Robert projected himself

Answers

The horizontal velocity with which Robert projected himself is v = 31.35m/s.

Equation :

Given,

Y = 50m

X = 100m

So, the position function is

Y = -(9.8/2)t²+ 50 = 0

t = 3.19s

Now use speed distance relationship

X = vt

So,

v = X / t

v = 100 / 3.19

v = 31.35m/s

What is the perfect definition of velocity?

A vector measurement of the rate and direction of motion is what is meant by the term "velocity." Simply put, velocity is the rate of movement in a single direction. Velocity can be used to gauge both the speed of a rocket launching into space and the speed of a car traveling north on a busy freeway. Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path.

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A laptop battery has an emf of 11.4 V. The laptop uses 0.60 A while running. By how much does the electric potential energy of this charge increase as it moves through the battery? I know the charge per second is 0.60 C.

Answers

The electric potential energy of this charge increase as it moves through the battery is 6.84 J.

What is electric potential energy?

The power required to move a charge in opposition to an electric field is known as electric potential energy. A charge must be moved through a stronger electric field with more energy, but it also must be moved through a weaker electric field with more energy. The energy gained when an object moves against an electric field is known as the electric potential energy. The electric potential is calculated for any charge by dividing the potential energy by the charge.

Emf of the battery = 11.4 V

Current used = 0.60 A

Current = Charge / Time

The charge per second is 0.60 C. Therefore, the electric potential energy will be:

U = qv

U = Current used × Emf

U = 0.60 × 11.4

U = 6.84 J

Therefore, the electric potential energy of this charge increase as it moves through the battery is 6.84 J.

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A certain net force acting on a 5kg mass produces an acceleration of 2 m/s2 calculate the force

Answers

Answer:

10 N

Explanation:

Newton's Second Law equation: Fnet = ma

Assuming no frictional force, plug in the values to get your answer!

Fnet = 5kg x 2m/s^2 = 10 N

Which graph below represents how the velocity of the sphere changes over time when falling with constant acceleration?
Justify your choice.

Answers

Graph B represents the velocity of the sphere changes over time when falling with constant acceleration.

Acceleration is the measure of how quickly a body's velocity varies with regard to time, and constant acceleration occurs when a body's velocity changes proportionately over a period of time, or at a constant rate. It measures in m/s2.It is claimed that a body has continual positive acceleration when it begins to move with an initial velocity of zero and gradually increases to a positive value over time.Constant positive acceleration is demonstrated by a ball falling freely in a vertical direction.

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please give the answer of mass of electron in physics

Answers

Answer:

electron, lightest stable subatomic particle known. It carries a negative charge of 1.602176634 × 10−19 coulomb, which is considered the basic unit of electric charge. The rest mass of the electron is 9.1093837015 × 10−31 kg, which is only 1/1,836the mass of a proton.

Explanation:

I hope this will be helpful for you.

20 pts
A physics teacher has just demonstrated how a certain component in a circuit can cause the electrical current to decrease over time. Which of the following values shows this measurement in the correct SI base units?
amperes per second
candelas per second
moles per minute
amperes per hour

Answers

In the SI unit, the quantity could be measured in amperes per second.

What is the resistance?

The resistor refers to the opposition that is offered to the flow of current. This opposition to the flow of current is offered by a circuit component that is called the resistor. Technically, any of the circuit components except the cell is able to offer this kind of opposition to the flow of current.

Recall that Ohm's law states that the voltage is directly proportional to the current in the circuit. The constant of proportionality here is the resistor. We can now write;

V = IR

V = voltage

I = current

R = resistance

Note that the SI system is the system that details the correct unit for quantities that is internationally accepted globally. Now from the SI units base, we can see that the resistance could be measured in Amperes per second. This unit is commonly called the ohm.

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slope of distance time graph will always be ?

Answers

Answer:

equal to the speed of the object.

The plates of a parallel-plate capacitor have a separation of 3.34
mm, and each has an area of 10.0 cm². Each plate carries a
charge of magnitude 6.70x10-8 C. The plates are in vacuum.
You may want to review (Page).
For related problemsolving tips and strategies, you may want to
view a Video Tutor Solution of Properties of a parallel-plate
capacitor.

Answers

The potential in the parallel-plate capacitor which has a separation of 3.34mm, and each has an area of 10.0 cm² has a potential of 2.52 giga .

What is capacitance?

Capacitance of a capacitor is a physical property that refers to the ratio of charge store in the parallel plate capacitor to its potential.

What is permittivity constant?

Vacuum permittivity, commonly denoted ε₀, is the value of the absolute dielectric permittivity of classical vacuum. It may also be referred to as the permittivity of free space, the electric constant, or the distributed capacitance of the vacuum.

Given:

Charge in the parallel plate capacitor =  670 micro coulomb

Area of the parallel plate capacitor = 10 cm square

Area of separation between plate = 3.34 mm

First we will find the the capacitor in the parallel plate capacitor using its formula.

Capacitance = 2.65 Pico meter

Using the defination of capacitance we have,

Potential of the parallel plate capacitor = capacitance × charge

Potential of the parallel plate capacitor = 670/2.65

Potential of the parallel plate capacitor = 2.52 giga

Therefore, The potential in the parallel-plate capacitor which has a separation of 3.34mm, and each has an area of 10.0 cm² has a potential of 2.52 giga .

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Objects motion plus blank forces equal blank velocity

Answers

Answer:\

unbalances and slow direction is the answer

Explanation:

Answer:

no change in motion

Explanation:

Which phrase describes a surface wave?
O a type of electromagnetic wave
O a wave that travels through space
O a wave that moves along the interface of two different materials, like air and water

Answers

Answer:

a wave that moves along the interface of two different materials, like air and water

Explanation:

A ball rolls off a table with a horizontal velocity of 4 m/s. If it takes 0.5 seconds for the ball to reach the floor, how high above the floor kd tje tabletop? (Use g = 10 m/s^2)

Show work please :)​

Answers

Answer:

1.25 m

Explanation:

Constant Acceleration Equations (SUVAT)

[tex]\boxed{\begin{array}{c}\begin{aligned}v&=u+at\\\\s&=ut+\dfrac{1}{2}at^2\\\\ s&=\left(\dfrac{u+v}{2}\right)t\\\\v^2&=u^2+2as\\\\s&=vt-\dfrac{1}{2}at^2\end{aligned}\end{array}} \quad \boxed{\begin{minipage}{4.6 cm}$s$ = displacement in m\\\\$u$ = initial velocity in ms$^{-1}$\\\\$v$ = final velocity in ms$^{-1}$\\\\$a$ = acceleration in ms$^{-2}$\\\\$t$ = time in s (seconds)\end{minipage}}[/tex]

When using SUVAT, assume the object is modeled as a particle and that acceleration is constant.

Consider the horizontal and vertical motion of the ball separately.

As the ball rolls off the table with a horizontal velocity only, the vertical component of its initial velocity is zero.

Acceleration due to gravity = 10 ms⁻²

As we need to find the vertical displacement of the ball, resolve vertically, taking ↓ as positive:

[tex]u=0 \quad a=10 \quad t=0.5[/tex]

[tex]\begin{aligned}\textsf{Using} \quad s&=ut+\dfrac{1}{2}at^2\\\\s&=(0)(0.5)+\dfrac{1}{2}(10)(0.5)^2\\s&=0+\dfrac{1}{2}(10)(0.25)\\s&=(5)(0.25)\\ \implies s&=1.25 \; \sf m\end{aligned}[/tex]

Therefore, the vertical displacement of the ball is 1.25 m, and so the table is 1.25 m above the floor.

4. Summarize the patterns of sensory and perceptual development in infancy.

Answers

The physical stimulation of the sense organs is known as sensation. The act of mentally classifying, interpreting, analyzing, and integrating stimuli from the senses and the brain is known as perception.

The sensory world of a baby is not as stable and clear as our own as adults. The infant's capacity for the environment's sensory and perceptual development happens day by day.Babies begin to group sounds into intricate patterns. From the moment of birth and even before, infants hear. Infants start to show a sense of musical phrasing between 4 and 7 months.Infants are able to differentiate almost all of the sounds used in human languages, and they prefer listening to human speech to other sounds.Humans rely on vision more than any other sense when it comes to investigating their environment.Even very young infants have a highly developed sense of smell, and some 12- to 18-day-old babies can recognize their mothers just by smell.

Therefore, sensory and perceptual development is very necessary in infants.

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If a falling rock were somehow equipped with a speedometer, what would the speedometer reading on the falling rock be 4.5 seconds after it drops from rest?
How about 8 seconds after it is dropped?
Om/s and 4 m/s
45 m/s and 80 m/s
4.5 m/s and 8 m/s

Answers

Answer: 45 m/s and 80 m/s

Explanation:

The acceleration due to gravity on an object is 9.8 m/s^2

Simply multiple this my the the time that it has fallen (in seconds) and this will provide you with its velocity at that time.

(4.5 seconds) (9.8) = 44.1 m/s

(8 seconds) (9.8) = 78.4 m/s

Values are rounded off for the final answer.

A car travels with an average speed of 58 mph what is this speed in km/h

Answers

The average speed in km/h will be 93.342 km/hr for 58 mph.

What is the average speed?

Speed is defined as the ratio of distance and time, and average speed is defined as the overall distance the object covers in a given amount of time is its average speed. The scalar quantity represents the average speed. It does not have direction; it is represented by magnitude.

Average Speed=[tex]\frac{total distance}{total time}[/tex]

According to the question, the speed is given i.e., 58mph

1 mph=1.61 km/hr

⇒58 mph= 1.61×58

⇒93.342 km/hr

Hence, the speed in km/hr will be 93.342 km/hr for 58 mph.

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explain newtons law of motion applied in this game​

Answers

Newton’s first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

Newton’s second law is a quantitative description of the changes that a force can produce on the motion of a body. 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 third law states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. The third law is also known as the law of action and reaction. This law is important in analyzing problems of static equilibrium, where all forces are balanced, but it also applies to bodies in uniform or accelerated motion.

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The first law represented in the game would be the candy. If you blow it, it would move but then stop due to friction.

The second law would be represented by blowing the candy. Since the candy was light, it would be easier to blow but if it was heavier, it would be a lot harder.

The final law represented in the game would be if you decided to blow the candy with a ballon instead, the candy would move the opposite direction the ballon is moving.

Hooke's Law Quick Check
6 of 66 of 6 Items



Question
Suppose a 100-gram mass, when attached to a spring, causes the spring to stretch 8 cm.

What would you expect a 25-gram mass to do when attached to the same spring?

(1 point)
Responses

Stretch the spring 4 cm.
Stretch the spring 4 cm.

Stretch the spring 32 cm.
Stretch the spring 32 cm.

Stretch the spring 8 cm.
Stretch the spring 8 cm.

Stretch the spring 2 cm.


(1 point)

Answers

When a 25 g mass is attached to the same spring, the spring is stretched by 2 cm.

What is Hook's law?

According to the question, when a spring is stretched or compressed, the restoring force generated in the spring (towards its mean position) is directly proportional to the length to which it is stretched or compressed.

Mathematically - F = - Kx

Given is a situation in which a stretch of 8 cm is caused by a 100g mass.

From this, we can write -

Mass [m] = 100 g = 0.1 Kg

Displacement [x] = 8 cm = 0.08 m

According to the question -

We will first find the spring constant [K]. Using Hook's law -

F = -Kx

mg = -Kx

K = - mg/x

K = - (0.1 x 9.8) / 0.08

K = - 12.25 N/m

|K| = 12.25 N/m

Now, when mass [M] = 25g = 0.025 Kg, using Hook's law -

|F| = |- kx| = kx

Mg = 12.25x

x = Mg/12.25

x = (0.025 x 9.8)/12.25

x = 0.02

x = 2 cm

Therefore, when a 25 g mass is attached to the same spring, the spring is stretched by 2 cm.

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Given the information in the velocity vs. time graph, what is the displacement of the object after 1 second?


_____ m


After 3 seconds?


_____ m


After 5 seconds?


_____ m


Thank you!!!

Answers

The displacement of the object after 1 second, is 3 m.

The displacement of the object after 3 seconds, is 9 m.

The displacement of the object after 5 seconds, is 15 m.

What is displacement?

The displacement of an object is the change in the position of the object.

displacement of the object after 1 second

The displacement of the object after 1 second, x = 3 m/s x 1 second = 3 m

displacement of the object after 3 second

The displacement of the object after 1 second, x = 3 m/s x 3 s = 9 m

displacement of the object after 5 second

The displacement of the object after 1 second, x = 3 m/s x 5 s = 15 m

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pls help i do not understand this and it’s a unit test question is in the picture :))

Answers

The sides of a small rectangular box are measured to be 1.80 ± 0.01 cm, 2.05 ± 0.02 cm, and 3.1 ± 0.01 cm long. Its volume and uncertainty is 11.4 ± 0.2 cm³.

What is true value?

While doing certain experiments or calculation we can end a less precise value that what actually it's the answer of the experiment, this exact value of the experiment is called true value.

What is uncertainty in physics?

In physics uncertainty refers to the possible variation from the true value. Variation is calculated for possible increment in the precision of the result.

These are the rules for doing basic operation on uncertainty :

If you're adding or subtracting quantities with uncertainties, you add the absolute uncertainties.

If you're multiplying or dividing, you add the relative uncertainties.

If you're multiplying by a constant factor, you multiply absolute uncertainties by the same factor, or do nothing to relative uncertainties.

Now in the given question we have to multiply the uncertainty, so we will simply add the relative error.

To find volume of the cubic structure we simply multiply the error free values.

Volume of the cuboid = Length × Breadth × Height

Volume of the cuboid = 1.80 cm × 2.05 cm × 3.10 cm

Volume of the cuboid = 11.4 cm³

Uncertainty in the volume[tex]= \frac{0.01\ cm}{1.80\ cm} \times 100\% + \frac{0.02\ cm}{2.05\ cm} \times 100\% + \frac{0.01\ cm}{3.1\ cm} \times 100\%[/tex]

= (0.55 + 0.97 + 0.32) × 11.4

= 1.84 × 11.4

= 20.976

Now,

δA = Percent Uncertainty / 100%

     = 20.976 / 100

     = 0.2 cm³

Thus from the above conclusion we can say that Its volume and uncertainty is 11.4 ± 0.2 cm³.

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The graph of function f is shown. Function g is represented by the equation. g(x) = 9(1/3)^x - 4 Which statement correctly compares the two functions? OA. They have the same y-intercept but different end behavior. OB. They have different y-intercepts but the same end behavior. OC. They have different y-intercepts and different end behavior. OD. They have the same y-intercept and the same end behavior. According to the map, which European nation dominated the Caribbean? A- British B- French C- DutchD- SwedishE- Portuguese F- Spanish Mr. Sowers wants to purchase expo markers for his classroom. He has a budget of $35. A four pack of markers costs $5.49, including tax. Write and solve an inequality to solve for the number of packs of markers Mr. Sowers can purchase ______ utilitarianism urges managers to take those actions that provide the greatest pleasure after having subtracted the pain or harm associated with the action in question. Use the Distance Formula to find the distance between the pair of points. A(0,0), B(15,20) Whats the balanced equation of sodium bicarbonate reacting with citric acid? How much work (in J ) is involved in a chemical reaction if the volume decreases from 4.00 to 1.34 L against a constant pressure of 0.879 atm ? Combine two sentences to create a complex sentence. Use the second sentence to create the adjective clause in the sentence. The student is from Canada. She sits next to me all the time in class. If the force of gravity and the force of fusion within a star are equal, what might that mean about the stars life and mass? Find the measures of the sides of X Y Z and classifytriangle by its sides. X(-4,-2), Y(-3,7), Z(4,-2) A different scaffold that weighs 400 n supports two painters, one weighing 500 n and the other weighing 400 n. the reading in the left-hand scale is 800 n. what is the reading in the right-hand scale? 40 oz= ___pounds Find each measure if m D G F=53 and m A G C=40 . m 4 what is the defntion of space shuttle. PLS HELP A craftsman wants to build this fiddle. He needs to know the area of the face of the fiddle. How could he use the measurements shown to find the area? Use your strategy to find the area of the face ofthe fiddle. Four students plan to rent a minivan for the weekend and equally share the rental cost. By adding one more people, they can each save $6. How much is the total rent of the car? Public schools in the united states are operated by the government. this is an example of:_________ Five of seven kittens in a litter had black markings. Write a simplified ratio for each of the following:Kittens without black markings to kittens with black markings: 2 to 5s: 2 to 72 tKittens without black markings to total kittens:Kittens with black markings to total kittens: 5 to 7 what's that symbol mean? What was an accomplishment by the tang dynasty of china? the tang dynasty manufactured the first paper currency in history. the tang dynasty defeated kublai khan after a long war. the tang dynasty expanded into the mongol empire. the tang dynasty created a golden era of asian artistic expression.