NHT0015
16. A metal rod is heated increasing its temperature
by 10°C. The fractional change in its length is
1 *10-4. If a plate of same metal is heated raising
its temperature by 5°C, the fractional change in
its area will be .-
(1) 1 x 10-4
(2) 0.5 x 10-4
(3) 2 x 10-4
(4) 3 x 10-4​

Answers

Answer 1

Answer:

(1) 1×10⁻⁴

Explanation:

From the question,

α = (ΔL/L)/(ΔT)............. Equation 1

Where α = linear expansivity of the metal plate, ΔL/L = Fractional change in Length, ΔT = Rise in temperature.

Given: ΔL/L = 1×10⁻⁴, ΔT = 10°C

Substitute these values into equation 1

α  = 1×10⁻⁴/10

α = 1×10⁻⁵ °C⁻¹ .

β = (ΔA/A)/ΔT................... Equation 2

Where β = Coefficient of Area expansivity, ΔA/A = Fractional change in area.

make ΔA/A the subject of the equation

ΔA/A = β×ΔT.......................... Equation 3

But,

β = 2α.......................... Equation 4

Substitute equation 4 into equation 3

ΔA/A = 2α×ΔT................ Equation 5

Given: ΔT = 5°C, α = 1×10⁻⁵ °C⁻¹

Substitute into equation 5

ΔA/A = ( 2)×(1×10⁻⁵)×(5)

ΔA/A  = 10×10⁻⁵

ΔA/A  = 1×10⁻⁴

Hence the right option is (1) 1×10⁻⁴


Related Questions

discuss impact of Newton's second law on roads​

Answers

Answer:

The second law: When a force is applied to a car, the change in motion is proportional to the force divided by the mass of the car. This law is expressed by the famous equation F = ma, where F is a force, m is the mass of the car, and a is the acceleration, or change in motion, of the car

Boxers wear gloves that are padded to lessen the force of a punch. Calculate the force exerted by a boxing glove on an opponent's face, if the glove and face compress 8.50 cm during a blow in which the 7.00-kg arm and glove are brought to rest from an initial speed of 10.0 m/s. Give your answer in Newtons, do not include the unit in your answer.

Answers

Answer:

F = 4117.64

Explanation:

First, we will calculate the acceleration of the hand, by using the third equation of motion:

[tex]2as = v_f^2 - v_i^2\\[/tex]

where,

a = acceleration = ?

s = distance covered = compression = 8.5 cm = 0.085 m

vf = final speed = 0 m/s

vi = iniial speed = 10 m/s

Therefore,

[tex]2a(0.085\ m) = (0\ m/s)^2-(10\ m/s)^2\\a = - 588.23\ m/s^2[/tex]

negative sign hows deceleration.

Now, we will calculate the force exerted by the hand:

[tex]F = ma = (7\ kg)(588.23\ m/s^2)\\[/tex]

F = 4117.64 N

Two neutral objects - object A and object B - are rubbed together. During the process,
electrons are transferred from object A to object B. This would cause object A to acquire
a charge and object B to acquire a charge.

Answers

Answer:

I think it is + and + I could be wrong but I hope it helps

heena wants to measure the volume of a ball that is 24 cm across. How should she set up her equation? v = one-third pi 24 squared (12). v = one-third p 12 squared (24). v = four-thirds pi 24 cubed. v = four-thirds pi 12 cubed.

Answers

Answer:

v = four-thirds pi 12 cubed.

Explanation:

A ball has a spherical shape. The volume of a spherical shape can be calculated using the following formula:

[tex]V = \frac{4}{3} \pi r^3[/tex]

where,

V = Volume of Ball = ?

d = diameter of the ball = length across the ball = 24 cm

r = radius of ball = d/2 = 24 cm/2 = 12 cm

Therefore,

[tex]V = \frac{4}{3}\pi (12)^3[/tex]

Hence, the correct answer is:

v = four-thirds pi 12 cubed.

A wheelbarrow can be used to help lift a load, such as a pile of dirt, and then push the load across a distance. A man pushes a wheelbarrow.

Answers

Answer:

B.) a wheel and axle and a lever

Explanation:

P.S - The exact question is -

Given - A wheelbarrow can be used to help lift a load, such as a pile of dirt, and then push the load across a distance. A man pushes a wheelbarrow.

To find - Which simple machines make up a wheelbarrow?

A.) a pulley and an inclined plane

B.) a wheel and axle and a lever

C.) a pulley and a wheel and axle

D.) a lever and a wedge

Proof -

The correct option is - B.) a wheel and axle and a lever

Wheelbarrows are used to carry more goods from place to place by using minimal force as compared when goods are carried by hand.

With this machine, During hauling people can save time.

Answer:

B.) a wheel and axle and a lever

Explanation:

Help Me!! 50pts
It will mean a lot

Answers

Answer: Full Moon

Explanation:
The image below will help you!

Explanation:

full moon

You hold an object up with a spring scale and it reads 5N.
What is the mass of the object?

Answers

Answer:

balance

Explanation:

this questions pls help

Answers

Answer:

1. True

2. False

3. True

4. True

5. False

True, False, True, True, False :) !

Which of the following statements is true for a ball thrown vertically upward

Answers

What are the word answers?

A uniform electric field, with a magnitude of 449 N/C, is directed parallel to the positive x-axis. If the potential at x= 4.59 m is 966 V, what is the potential at x= 1.61 m?

Answers

Answer:

2.334‬ kV

Explanation:

Since the electric field strength Ecosθ = -ΔV/Δx = -(V₂ - V₁)/(x₂ - x₁)

where V₁ = potential at x₁ = 966 V, x₁ = 4.59 m, V₂ = potential at x₂ = unknown, x₂ = 1.61 m and θ = angle between E and the x - axis.

Given that E = + 449 N/C and since it is directed parallel to the positive x - axis, θ = 0°

So,

Ecosθ = -ΔV/Δx

Ecos0° = -ΔV/Δx

E = -ΔV/Δx

E = -(V₂ - V₁)/(x₂ - x₁)

making V₂ subject of the formula, we have

-E(x₂ - x₁) = V₂ - V₁

-E(x₂ - x₁) + V₁ = V₂

V₂ = V₁ - E(x₂ - x₁)

Substituting the values of the variables into the equation, we have

V₂ = V₁ - E(x₂ - x₁)

V₂ = 966 V - 449 N/C(1.61 m - 4.59 m)

V₂ = 966 V - 449 N/C(-2.98 m)

V₂ = 966 V + 1,338.02‬ Nm/C

V₂ = 966 V + 1,338.02‬ V

V₂ = ‭2,334.02‬ V

V₂ ≅ ‭2,334‬ V

V₂ = ‭2.334‬ kV

Which two structures are not found in animal cells?
A) vacioles and ribosomes
B) chloroplasts and ribosomes
C) cell walls and chloroplasts
D) endoplasmic reticulum and cell walls

Answers

Answer:

C

Explanation:

So, lets start off by thinking about what we know is in both cells, and rule out from there.

There are just some basic things you need in eukaryotic cells, those include the following:

Nucleuscell membranemitochondriacytoplasm(dont get confused with chloroplast)Rough and smooth endoplasmic reticulumGolgi vescileGolci apparatusNucleolus(Dont get confused with nulceus)

Here are jsut a few examples of what can be found in both plant and animal cells, however we can already rule out all of the following except for:

C

Because remember, c talks about the chlorplast, which is not the chlorplasm found in both plant anf animal cells, its just the chloroplast found in plant cells.

Although I gave the asnwer to you. Here are some things that are in plant cells that arent in animal cells:

Cell wallvaciolescentral vaciolechlroplastplastids

Animal cells on the other hand, have a few things that plant cells do not as well:

LysomeCentrolsome

Hope this helps! ;)

Why are solar storms a concern to Earth?

Answers

Solar radiation can cause an EMP effect and knock out electric grids.

Suppose you needed to push a 1,500-N sofa up a frictionless ramp with a 30° angle. How much force would you have to apply to the sofa?Show your work below.

Answers

Answer:

1299N

Explanation:

GIven data

Weight W= 1500N

Angle Ф= 30°

The applied force up the frictionless ramp is gotten by applying the formula below

F= WcosФ

substitute

F=1500 cos 30

F = 1500*0.8660

F= 1299N

Hence the applied force is 1299N

A microphone is attached to a spring that is suspended from the ceiling, as the drawing indicates. Directly below on the floor is a stationary 375-Hz source of sound. The microphone vibrates up and down in simple harmonic motion with a period of 1.80 s. The difference between the maximum and minimum sound frequencies detected by the microphone is 2.75 Hz. Ignoring any reflections of sound in the room and using 343 m/s for the speed of sound, determine the amplitude (in m) of the simple harmonic motion.

Answers

Answer:

[tex]0.361\ \text{m}[/tex]

Explanation:

[tex]f_s[/tex] = Frequency of source = 375 Hz

[tex]\Delta f[/tex] = Difference between the maximum and minimum sound frequencies = 2.75 Hz

v = Speed of sound in air = 343 m/s

T = Time period = 1.8 s

[tex]v_m[/tex] = Maximum speed of the microphone

We have the relation

[tex]\Delta f=2f_s\dfrac{v_m}{v}\\\Rightarrow v_m=\dfrac{\Delta fv}{2f_s}\\\Rightarrow v_m=\dfrac{2.75\times 343}{2\times 375}\\\Rightarrow v_m=1.26\ \text{m/s}[/tex]

Amplitude is given by

[tex]A=\dfrac{v_mT}{2\pi}\\\Rightarrow A=\dfrac{1.26\times 1.8}{2\pi}\\\Rightarrow A=0.361\ \text{m}[/tex]

The amplitude of the simple harmonic motion is [tex]0.361\ \text{m}[/tex].

Utility companies charge by the kilowatt-hour. The number of kilowatt-hours used equals the number of kilowatts multiplied by the number of hours an electrical device was used. How long would it take for a 50-watt fan to use 1 kilowatt-hour of electricity? (Hint: 50 watts = 0.05 kilowatts.)

Answers

Answer:

t = 3 minutes

Explanation:

Given that,

Power of fan, P = 50 W

Energy used, E = 1 kWh

We know that,

Energy = Power/time

As, 50 watts = 0.05 kilowatts

So,

[tex]t=\dfrac{P}{E}\\\\t=\dfrac{0.05\ kW}{1\ kWh}\\\\t=0.05\ h[/tex]

or

t = 3 min

So, the required time is equal to 3 minutes.

which apparatus is used to measure mass of a bread

Answers

Explanation:

a triple beam balance can measure the mass of one slice of bread

A bat produces a sound at 17,250Hz and wavelength 0.019m. What is
the speed of the sound?

Answers

Explanation:

v = f × /\

v = 17250 × 0.019

v = 327.75ms²

A produces a sound at a frequency of 17,250 Hz and wavelength of 0.079 m then the speed of sound will be equal to 327.75 m/s².

What is Wavelength?

The distance between two identical locations (adjacent crests) in successive cycles is known as the wavelength, and it is used to describe waveform signals that are transmitted over wires or into space. Typically, in wireless systems, this length is specified in meters (m), centimeters (cm), or millimeters (mm). The wavelength is more frequently described in nanometers (nm), which are units of 10⁻⁹ m, or angstroms, which are units of 10⁻¹⁰ m, for infrared (IR), visible light (UV), and gamma radiation.

As per the given information in the question,

Frequency, f = 17,250 Hz

The wavelength λ = 0.019 m

Then the speed of the sound (v) will be,

v = f × λ

v = 17250 × 0.019

v = 327.75 m/s²

To know more about Wavelength:

https://brainly.com/question/13533093

#SPJ2

Which is not a typical property of an acid?
A They react with alkalis producing water.
B They react with all metals producing hydrogen.
C They react with carbonates producing carbon dioxide.
D They turn litmus paper red.

Answers

Answer:

the answer is D acid don't turn paper red.

The one that is not a typical property of an acid is they react with all metals producing hydrogen. The correct option is D.

What is an acid?

A substance that reacts with certain metals to produce salts and releases hydrogen ions into water.

Acids give certain dyes a reddish tint and have a sour flavour. Some body-produced acids, such as stomach acid, can support organ function. Hydrochloric acid is a kind of acid.

Acids and many metals, although not all, interact. As the metal combines with the acid to create a salt, hydrogen gas is created.

Acids and many metals, although not all, interact. As the metal combines with the acid to produce a salt, hydrogen gas is created.

The fact that acids react with all metals to produce hydrogen is the only characteristic of an acid that is unusual.

Thus, the correct option is D.

For more details regarding acid, visit:

https://brainly.com/question/14072179

#SPJ2

Maria's mother was deported 6 months ago, and she is staying with a cousin. She has to share a room with 3 other children and is very discouraged. She has little energy to do much of anything, and she cries a lot. She is probably suffering from?

Answers

The answer would be A.

She is probably suffering from a major depression. Depression results in emotional change and loss of interest in previously appreciated activities.

What is depression?

Depression is a frequent and significant medical ailment that has an adverse effect on how you feel, think, and act. It can cause a number of mental and physical difficulties, as well as a loss in your ability.

According to epidemiological research, a hereditary element is involved in 30% to 40% of instances of bipolar illness. As a result, environmental influences have a larger role in the development of depression.

Maria's mother was deported 6 months ago, and she is staying with a cousin. She has to share a room with 3 other children and is very discouraged.

She has little energy to do much of anything, and she cries a lot, she is probably suffering from a major depression.]

Hence, option A is correct.

To learn more about the depression, refer to the link;

https://brainly.com/question/9790235

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a) How is the single covalent bond usually shown in each diagram?​

Answers

Single bonds are represented in drawn structures by one line segments which connects two pairs of Adams kind a like this. H
|
H — C — H
|
H

A 200kg bumper car moving 3 m/s collides head on with a 392kg bumper car moving 6m/s. After impact, the larger car continues traveling in the same direction with a velocity of 1.6 m/s . Determine the speed of the other car.

Answers

Answer:

the final speed of the smaller car is 5.624 m/s

Explanation:

Given;

mass of the small car, m₁ = 200 kg

initial velocity of the small car, u₁ = 3 m/s

mass of the larger car, m₂ = 392 kg

initial velocity of the larger car, u₂ = 6 m/s

final velocity of the larger car, v₂ = 1.6 m/s

let the direction of the larger car be positive

let the direction of the smaller car be negative

Apply the principle of conservation of linear momentum to determine the final speed of the smaller car.

m₁u₁ + m₂u₂ = m₁v₁  +  m₂v₂

200(-3)  +  392(6)  = 200v₁   +  392 x 1.6

-600 + 2352  = 200v₁    +  627.2

1752   =  200v₁     +   627.2

1752  -  627.2     =  200v₁

1124.8  = 200v₁

v₁  =  1124.8/200

v₁ = 5.624 m/s

Therefore, the final speed of the smaller car is 5.624 m/s

Which object is an example of a mechanical wave?

A. light from a flashlight

B. microwaves used to heat food

C. police siren

D. sunlight​

Answers

Answer:

C.

Explanation:

Hope It Helps

brainliest please

Answer:

C. police siren

Explanation:

Sound waves are mechanical waves

The _____ of a mechanical wave is a direct measure of its energy.

speed

frequency

amplitude

hertz

Answers

The answer is amplitude. “Amplitude of a wave is a direct measure of its energy. The amplitude of transverse waves is the maximum distance the medium moves up or down from its rest position.”

The kinetic theory describes the __1__ of particles in matter and the forces of attraction between them. The theory assumes that the volume occupied by a gas is mostly __2__, that the particles of gas are relatively __3__, move __4__ of each other, and are in constant __5__ motion. The __6__ between particles are perfectly elastic so that the total __7__ remains constant. Gas pressure results from the simultaneous collisions of billions of particles with an object. Barometers are used to measure __8__ pressure. Standard conditions are defined as a temperature of __9__ and a pressure of __10__.

Answers

Answer:

1. Motion

2. Empty space

3. Far apart

4. Independently

5. Random or rapid

6. Collision

7. Kinetic energy

8. Atmospheric

9. 273 Kelvin or 0° Celsius

10. 1 atm, 101.3 kPa or 760 mmHg

Explanation:

In science, matter can be defined as anything that has mass and occupies space. Any physical object that is found on earth is typically composed of matter. Matter are known to be made up of atoms and as a result has the property of existing in states.

Generally, matter exists in three (3) distinct or classical phases and these are;

I. Gas.

II. Solid.

III. Liquid.

Filling the missing words or texts in the question, we have;

The kinetic theory describes the motion of particles in matter and the forces of attraction between them. The theory assumes that the volume occupied by a gas is mostly empty space, that the particles of gas are relatively far apart, move independently of each other, and are in constant random or rapid motion. The collision between particles are perfectly elastic so that the total kinetic energy remains constant. Gas pressure results from the simultaneous collisions of billions of particles with an object. Barometers are used to measure atmospheric pressure. Standard conditions are defined as a temperature of 273 Kelvin or 0° Celsius and a pressure of 1 atm, 101.3 kPa or 760 mmHg.

In a car collision, is it better for the passenger if the change in momentum is over a short period of time or a long period of time?

Answers

Explanation:

The force on the passenger will be F = ma

Here, m does not change, but a is the variable.

If the cars slows down very fast, the acceleration will be higher, and thus the force will be higher.

If the acceleration is lower, the force will be lower as well, which would be the most desirable scenario for the passenger.

I'm stuck between B and C

In the problem, I know the potential energy increases because the height increases.

A block is at the bottom of a frictionless ramp and is given a kick so that it has some initial velocity and starts to slide up the ramp. There
is no air resistance. Which of the following is true of the energy of the block as it slides?
(A) Its potential energy will increase; its kinetic energy will decrease.
(C) Both its potential and kinetic energies will increase.
(B) Its potential energy will decrease; its kinetic energy will increase.
(D) Both its potential and kinetic energies will decrease.

Answers

Answer:

Explanation:

The answer is A. First of all, due to the First Law of Thermodynamics, energy cannot be created or destroyed, it only changes form. That being said, it is impossible for the PE and the KE to both increase or decrease at the same time. The second one starts decreasing, the other starts increasing at the exact same rate. PE exists or is at its highest when an object has the potential to fall to a point lower than it is, and it is at this point where Kinetic energy is the lowest. If this block is kicked UP a ramp, which is odd but there you have it, the potential energy increases as it gets higher off the ground. Because of gravity, and assuming that once the block is kicked, the foot that kicked it is no longer important to it (meaning it's not being pushed up, it's just kicked once and that's it) and it will slow down very quickly. KE exists where there is a great amount of velocity.

The answer is A.

Help please:A boy weighing 30 kg rides a scooter. The total kinetic energy of the boy and the scooter is 437.6 J. Determine the speed at which the boy moves if the mass of the scooter is 5kg?​

Answers

Answer:

5 m/s

Explanation:

Mass of the boy + scooter system =  35 kg

Kinetic Energy =  437.6 J

437.6 = [tex]\frac{1}{2} 35 {v}^2[/tex]

25.0057143 = [tex]v^{2}[/tex]

v = 5 m/s

1.What is the kinetic energy of an object with a velocity of 7m / s and a mass of 14kg
2. What is the kinetic energy of an object with a velocity of 5m / s and a mass of 5kg
Helppppp!

Answers

Answer:

Explanation:

The formula for KE is

[tex]KE=\frac{1}{2}mv^2[/tex] and we fill in to solve for KE:

[tex]KE=\frac{1}{2}(14)(7.0)^2[/tex] I used 2 significant digits in the velocity because 1 isn't accurate enough. Therefore, my answer will be rounded to 2 sig fig's:

KE = 340 J (rounded from 343). And we do the exact same thing in #2:

[tex]KE=\frac{1}{2}(5.0)(5.0)^2[/tex] (Used 2sig fig's for both the mass and the velocity) to get

KE = 63 J (rounded from 62.5)

What is a mechanical advantage?

Answers

The answer is C I think

Answer:

B

Explanation:

 A Mechanical Advantage is when you use a piece of machinery to help you do work, and it is an easy advantage.

If a cart at the top of a hill has 50 newtons of pot. energy what will it have when it comes down?

Answers

Answer:

50 newtons of kenetic energy?? im guessing ngl

Explanation:

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