A student performed a sphere drop experiment. The sphere was dropped from 1.50 m above the ground and the sphere has
a mass of 0.875 kg. Free fall times for the student's experiments are below.
a. Before the student calculates the acceleration due to gravity from the data, are there any trials that should be thrown
out? Justify your choice.

Answers

Answer 1

The experimental value of the expression due to gravity through the experiment will come out to be 7.8 u, the error in the value has Accord because of air friction.

What is Newton's law of motion?

Newton gave three laws of motion which can be utilised to find the velocity, acceleration and displacement of a body. These laws are only applicable for constant acceleration.

What is free fall?

When a body falls freely under only the force of gravitation due to the earth and no other force act on the body is known as free fall.

Given:

Mass of the sphere is 0.875 kg

Height of the free fall is 1.5 metre

Experiments are conducted in the following manner:

First the bob will be released and from the point that it is being released we will measure the distance using the inch tape we will also calculate the time it takes for the bob to hit the ground.Using the speedometer will measure the final velocity before it is  the ground.Now using Newton's first law of motion we can derive the acceleration due to gravity we know the final velocity using the speedometer the distance it has covered and the time it has taken to complete that distance.

Using Newton's first law of motion

i.e. v = u + a × t  

Where,

u is initial velocity

v is final velocity

a is acceleration due to gravity

t is time taken to cover distance

From the data given v = 15.6 m/s

t is 2 seconds

Substituting value in Newton's first law of motion we get

Value of acceleration due to the gravity = 7.8u

Therefore, The experimental value of the expression due to gravity through the experiment will come out to be 7.8 u , the error in the value has Accord because of air friction.

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Related Questions

slope of distance time graph will always be ?

Answers

Answer:

equal to the speed of the object.

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 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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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:

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

19. If an atom has an atomic number of 6 and a
mass number of 14, how many protons,
electrons, and neutrons are in the atom?

Answers

Answer:

protons: 6

electrons: 6

neutrons: 8

Explanation:

atomic number -> number of protons -> 6

mass number -> number of protons + number of neutrons

    so 14-6 = 8. 8 neutrons

this atom is neutral (net charge is 0), so the number of electrons is the same as the number of protons, which is 6

An underground tank with a capacity of 1700 litre (1.70 m³) is filled with ethanol that has an ini temperature of 19.0°C. After the ethanol has cooled off to the temperature of the tank and ground wh is at 10.0°C, how much air space will there be above the ethanol in the tank? (Assume that the volume the tank doesn't change). [Given: y for ethanol = 75 x 10-5 (Cº)-¹] [Ans: 0.11 cm​

Answers

Volume air = 1700 L(7.50 ⋅ 10^−4 K ^− 1 − 3 ⋅ 1.20 ⋅ 10^−5 K^−1) ⋅ 9 K ≈ 10.9L

Volume is a measurement of three-dimensional space that is occupied. [1] Numerous imperial units or SI-derived units, such as the cubic metre and litre, are frequently used to quantify it numerically (such as the gallon, quart, cubic inch). Volume and length (cubed) have a symbiotic relationship. The volume of a container is typically thought of as its capacity, not as the amount of space it takes up. In other words, the volume is the amount of fluid (liquid or gas) that the container may hold.

Arithmetic formulas can be used to quickly calculate the volume of several straightforward three-dimensional shapes. If a formula for the shape's boundary is known, it is possible to use integral calculus to determine the volumes of more complex shapes. Nothing in the dimensions of zero, one, or two has volume.

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+
he document will
3. Calculate the speed for line B.
15
10
Distance (m)
5
A
N
6
a. -2.14 m/s
b. 3 m/s
c. 2.14 m/s
d. 4 m/s
B

D
8
Time (s)
E
10 12 14 16

Answers

Answer:

d: 4m/s

Explanation:

speed=d/t

S=2-10/8-10

S=4

Identify details in lines 814-828 page 41 that show how beowulf wants to be buried and remembered

Answers

He wants to see the gold before he dies. It shows he just cares about fame, glory, and riches.

He wants to be remembered with the aid of a tower named Beowulf's tower constructed where he died so all the sailors can see it. They emphasize how the Geats understood that the riches and treasure Beowulf accumulated were nugatory compared to the bravery he showed. They make clear that Beowulf's followers did now not accept as true each person but their king with the riches and treasure. when they burn my frame, inform my warriors to construct a notable burial mound on the cliffs that stick out into the sea.

The king and warrior Beowulf is remembered and commemorated through his grave is placed at the pinnacle of a sea cliff. Beowulf's Barrow guarantees that any ship that passes through will see Beowulf's grave, encouraging the human beings in it to tell memories about his greatness. Beowulf orders Wiglaf to build a barrow for him on the coast after his frame has been burned on a funeral pyre. This barrow might be seen by ships and remind people of Beowulf's first-rate deeds.

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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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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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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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1. True or False: All aspects of health are equally important. A problem in one area can affect
other areas.
A true
B false

Answers

This is true so the answer would be A

Objects motion plus blank forces equal blank velocity

Answers

Answer:\

unbalances and slow direction is the answer

Explanation:

Answer:

no change in motion

Explanation:

Relate Bernoulli's principle to the sport of your choice.​

Answers

Answer:

Daniel Bernoulli – a Swiss physicist and mathematician – discovered that for an inviscid flow of a non-conducting fluid, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid’s potential energy. * This is known as the Bernoulli Principle.The Bernoulli principle can also be used to describe a downward lift force, such as that required by speed skiers, cyclists and racing cars. The car, bike and skis need to be pushed down into the ground so a greater frictional force is created

Explanation:

Hope this helps ♡

the pitcher threw a 70 mph curve ball and then a 100 mph fastball, which law of motion is it most closely connected to?

Answers

The pitching of a 70 mph curveball and a 100 mph fastball can be most closely connected to Newton's Laws of Motion, specifically the first law, which is also known as the law of inertia.

What is Newton's First Law of Motion?

According to Newton's first law, an object at rest will stay at rest, and an object in motion will continue in motion with the same velocity and in the same direction unless acted upon by an unbalanced force. In the case of the pitcher throwing the curve ball and fastball, the ball initially starts at rest in the pitcher's hand, and the pitcher then applies a force to the ball, accelerating it to the desired velocity. Once the ball is in motion, it will continue to move at a constant velocity unless acted upon by external forces, such as gravity or air resistance.

The curveball and fastball also demonstrate the third law of motion, which states that for every action, there is an equal and opposite reaction. When the pitcher throws the ball, the force he applies to the ball generates an equal and opposite force on the pitcher's arm. This reaction force is what propels the ball forward and enables it to travel at high speeds.

Therefore, the pitching of a 70 mph curveball and a 100 mph fastball can be most closely connected to Newton's Laws of Motion, specifically the First and Third laws.

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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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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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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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What might happen to the composition of air in the future

Answers

Since the beginning of the industrial revolution, human activity has been responsible for a substantial alteration in the chemical makeup of the atmosphere as well as a large rise in the concentration of greenhouse gases. These gases enable the atmosphere to retain more heat, similar to how a greenhouse works, which ultimately results in long-term changes to our climate.

This is further explained below.

What is the composition of air?

Generally, The molecules of the many gases that make up our atmosphere make up the air that we breathe.

Nitrogen makes up roughly 78 percent of the atmosphere, followed by oxygen (about 21 percent), and argon (nearly 1 percent). There are also, but in much lower concentrations, other chemicals that may be found in the air we breathe.

In conclusion, gases enable the atmosphere to retain more heat, similar to how a greenhouse works, which ultimately results in long-term changes to our climate.

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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 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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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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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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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.

Relate what is produced during a
supernova to our lives

Answers

Answer:

wow

Explanation:

Answer: iron

Explanation: yw

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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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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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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Explain the Newton's formula for the velocity of sound in air and raplace correction ?​

Answers

Explanation:

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>>State Newton's formula for the velocity

Question

State Newton's formula for the velocity of sound in a gas. What is the Laplace's correction?

Hard

Open in App

Updated on : 2022-09-05

Solution

Verified by Toppr

According to Newton, velocity of sound in any medium is given by v=pE where E is the modulus of elasticity and p is the density of the medium.

For gases E = B, bulk modulus

∴v=pB.............(1)

When sound waves travel through a gas alternate compressions and rarefactions are produced. At the compression region pressure increases and volume decreases and at the rerefaction region pressure decreases and volume increases. Newton assumed that these changes take place under isothermal conditions i.e., at a constant temperature.

Under isothermal condition, B = P, pressure of the gas.

∴ In (1) v=pP.............(2)

This is Newton's formula for velocity of sound in gas.

For air at NTP, P=101.3 kPa and p=1.293 kgm−3

Substituting the values of P and p in, equation (1) we get v = 280 m/s. This is much lower than the experimental value of 332 m/s. Thus Newton's formula is discarded.Laplace's correction:

According to Laplace, in a compressed region temperature increases and in a rarefied region it decreases and these changes take place rapidly. Since air is an insulator, there is no conduction of heat. Thus changes are not isothermal but adiabatic.

Under adiabatic condition, B=y P, where y is the ratio of specific heats of the gas.

Substituting in equation (1) v=pγP

The above equation is called Newton - Laplace's equation

Sunstituting the values of P, p and y in the above equation, give the velocity of sound in air at NTP to be about 331 m/s. This is in close agreement with the experimental value.

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