A liquid x at 25 degree Celsius is poured to a height of 40cm in a capillary tube of length 70cm and the diameter is 1cm .Assume that volume does not change with temperature. A find the initial volume of the liquid in cm^3. B. The temperature is reduced by 10°C causing the liquid to reduce in height to 37cm.Find the volume coefficient of the thermal expansion of the liquid. C. At the initial height of 40cm and temperature of 25°C , what change in temperature is needed for liquid to rise to a height of 49cm.

Answers

Answer 1

The initial volume of the liquid is 31.4 cm³. The volume coefficient of thermal expansion of the liquid is 0.002 per degree Celsius. A temperature increase of 109.5°C is needed for the liquid to rise to a height of 49cm.

The initial volume of the liquid can be found using the formula for the volume of a cylinder:

V = πr²h

where r is the radius (half the diameter), h is the height, and π is approximately 3.14. Plugging in the given values, we get:

V = π(0.5 cm)²(40 cm)

V = 31.4 cm³

The volume coefficient of thermal expansion (β) is defined as the fractional change in volume per degree Celsius change in temperature. It can be calculated using the formula:

β = ΔV/(VΔT)

where ΔV is the change in volume, V is the initial volume, and ΔT is the change in temperature. We can rearrange this formula to solve for ΔV:

ΔV = βVΔT

We know that ΔT = -10°C (a decrease of 10°C) and that the height decreased from 40cm to 37cm, or by 3cm. The change in volume can be found using the formula for the volume of a cylinder again, with the new height of 37cm:

ΔV = π(0.5 cm)²(40 cm - 37 cm)

ΔV = 0.59 cm³

Plugging in all the values, we get:

0.59 cm³ = β(31.4 cm³)(-10°C)

β = 0.002

To find the change in temperature needed for the liquid to rise to a height of 49cm, we can use the same formula as before, but solve for ΔT:

ΔT = ΔV/(βV)

We know that ΔV is the difference between the initial volume and the volume at the new height, which is:

ΔV = π(0.5 cm)²(49 cm - 40 cm)

ΔV = 6.86 cm³

Plugging in all the values, we get:

ΔT = 6.86 cm³/(0.002)(31.4 cm³)

ΔT = 109.5°C

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Related Questions


6.
least 2 m. If the same car is moving with the speed 80K/h,what is the minimum stopping distance?
A car moving with a speed of 40 km/h can be stopped by applying the brakes after at-

Answers

The minimum stopping distance of the car is determined as 8 m.

What is the minimum stopping distance?

The minimum stopping distance of the car is calculated as follows;

d = (u²)/(2a)

where;

d is the minimum stopping distanceu is the initial velocitya is the acceleration of the car

when the minimum stopping distance = 2 m, initial velocity = 40 km/hr = 11.11 m/s

2 = (11.11²)/(2a)

a = (11.11²)/(2 x 2)

a = 30.86 m/s²

when the speed becomes 80 km/h, the minimum stopping distance is calculated as;

u = 80 km/h = 22.22 m/s

d = (22.22² )/ (2 x 30.86)

d = 8 m

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If we start with 24 grams of iodine-131, how much DAUGHTER material is made after 32 days?

Answers

1.5 grams  of Iodine-131 is left after 32 days

How do we explain?

The half life of a substance is given by:

No (1/2 ) ^ t / (t*1/2)

Where No is the substance remaining after the period

t(1/2) is the half life

t(1/2) = 8 days

t = 32 days

No =  24 grams

N = 24 x (1/2)^ 32/ 8

N = 1.5 grams

Half-life is  described as the length of time it takes for half of the radioactive atoms of a specific radionuclide to decay.

A good rule of thumb is that, after seven half-lives, you will have less than one percent of the original amount of radiation.

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Help me the question should be in the document.

Answers

The total system momentum would remain the same before and after the collision. Option D

What is the law of conservation of momentum?

The law of conservation of momentum, which states that when no external forces are exerted on a system of objects, the system's overall momentum will remain constant, is a fundamental principle of physics.

The momenta of all the objects added together in the system prior to an event or interaction are equal to the momenta of the objects added together after the event or interaction.

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What is the length of the x-component of the vector plotted below?
APEX

A. 23.6
B. 8.1
C. 72.5
D. 34.1

Answers

The length of the x-component of the vector is 8.1

What is x-component?

The component that pushes right or left is called the x-component, and the part that pushes up or down is called the y-component.

To calculate the x-component of the vector plotted below, we use the formula below

Formula:

X = Rcos∅.........................Equation 1

Where:

X = x-component of the vectorR = x-y value of the vector∅ = Angle of the vector with the horizontal

From the diagram,

Given:

R = 25∅ = 71°

Substitute these values into equation 1

X = 25cos71°X = 8.1

Hence, the right option is B. 8.1

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A student creates a dichotomous key to identify common household pets. What is wrong with this key?

Pet dichotomous key
A. Hamsters have hairy bodies.
B. Goldfish don't live in cages.
C. A pet can have a hairy body and live in a cage, or can be hairless and not live in a cage.
D. All of the above.

Answers

A student creates a dichotomous key to identify common household pets. The wrong  key is option  C. A pet can have a hairy body and live in a cage, or can be hairless and not live in a cage.

What is the dichotomous key?

A dichotomous key is an instrument utilized for the classification and identification of living organisms by examining their visible traits. It is comprised of a sequence of decisions or actions which guide the user towards accurately identifying the organism.

Every decision or move involves selecting between two alternative options or features that are contradictory to each other. Furthermore, the correct answer identified as option C acknowledges that pets can possess different traits and may not necessarily conform to a specific classification.

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A pedestrian waiting for the light to change at an intersection hears a car approaching with its horn blaring. The car's horn produces sound with a frequency of 381 Hz, but the pedestrian hears a frequency of 393 Hz.
Part A
How fast is the car moving? I’m
Express your answer to three significant figures and include the appropriate units.

Answers

The velocity of the car is determined as 10.47 m/s.

What is the velocity of the car?

The velocity of the car is calculated by applying the following formulas;

f' = f(v + vo)/(v + vs)

where:

f' is the observed frequency,f is the frequency of the source,v is the speed of sound in the medium,vo is the velocity of the observer, andvs is the velocity of the source = car.

The velocity of the car is calculated as follows;

vs = ((f' - f) / f')v

vs = ((393 - 381) / 393) x 343

vs = 10.47 m/s

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A car moving with a speed of 40km/h can be stopped by applying the brakes after atleast 2m. If the same car is moving with the speed 80k/h what is the minimum stopping distance?

Answers

The minimum stopping distance is determined as 8 m.

What is the minimum stopping distance?

The minimum stopping distance of the car is calculated as follows;

d = (u²)/(2a)

where;

d is the minimum stopping distanceu is the initial velocitya is the acceleration of the car

when the minimum stopping distance = 2 m, initial velocity = 40 km/hr = 11.11 m/s

2 = (11.11²)/(2a)

a = (11.11²)/(2 x 2)

a = 30.86 m/s²

when the speed becomes 80 km/h, the minimum stopping distance is calculated as;

u = 80 km/h = 22.22 m/s

d = (22.22² )/ (2 x 30.86)

d = 8 m

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Please help with the question below. I also attached a picture of the apparatus along with the question as well. Thank you in advance!

3) Suppose that the apparatus shown in the figure to the right is to be used to measure the speed of sound. The apparatus contains a tube that is open on both ends which has been placed into a beaker containing tap water. The distance between the top of the tube and the water level varies by raising or lowering the tube. Suppose that each lab group is provided with this apparatus as well as a ruler and tuning forks of various frequencies. By striking any particular tuning fork near the top of the tube, a standing wave may be created by adjusting the distance between the water level in the tube and the top of the tube.
(a) Design an experiment using the materials described above with the objective of measuring the speed of sound in air. Include steps to reduce uncertainty and include steps for describing your observations narratively and graphically.
(b) Consider the dependent variable(s) and independent variable(s) in your experiment. Make a sketch of the graph showing the general relationship between these variables and describe a method of graphical analysis that can be used to determine the speed of sound from the data.
(c) Suppose that two lab groups in different locations came up with different results. Other than measurement error, briefly describe two potential reasons for the differences.

Answers

The experiment to measure the speed of sound will involve recording the time for the loudest sound to be heard.

What are the dependent and the independent variables in the experiment?

The dependent variable in the experiment is the time and the independent variable is the frequencies of the tuning fork.

Some potential reasons for the two lab groups in different locations coming up with different results include:

the difference in temperature - the speed of sound is affected by temperature. The speed of sound generally increases with an increase in temperature.humidity - the difference in humidity in the two locations will affect the result the group obtains.

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The power P radiated by a loudspeaker at a rock concert is 50 W at a frequency of 1000 Hz.
a) Assuming that the speaker sends the sound waves uniformly in all direction, what is the
intensity I at a distance of 20 meters from the speaker.
b) At what distance will the sound intensity be at the threshold of pain of 1.00 W/m2?

Answers

The intensity of waves is 9.96 × 10⁻³W/m².

Power radiated, P = 50 W

Frequency of the sound, f = 1000 Hz

a) Distance, r = 20 m

The intensity of waves,

I = P/4πr²

I = 50/(4π × 20²)

I = 9.96 × 10⁻³W/m²

b) We know that, the intensity of waves,

I ∝ 1/r²

So, I/I' = (r'/r)²

Therefore,

r' = r(√I/I')

r' = 20(√9.96 × 10⁻³/1)

r' = 0.19 m

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Which of the following statements are true?

It is proper to use the period when it is 1 second or greater.
It is proper to use the frequency when it is 1 Hertz or greater.
It is proper to use the period when it is less than 1 second.
It is proper to use the frequency when it is less than 1 Hertz.

Answers

Both of the first two statements are true:

- It is proper to use the period when it is 1 second or greater. The period is the time it takes for one complete cycle of a wave to occur, and it is typically measured in seconds. When dealing with waves that have periods of 1 second or longer, it is more convenient to use the period rather than the frequency.

- It is proper to use the frequency when it is 1 Hertz or greater. The frequency is the number of cycles of a wave that occur in one second, and it is typically measured in Hertz (Hz). When dealing with waves that have frequencies of 1 Hz or higher, it is more convenient to use the frequency rather than the period.

The last two statements are not true:

- It is not proper to use the period when it is less than 1 second. The period is still a valid measure for waves with periods less than 1 second, but it may be more convenient to use the frequency instead.

- It is not proper to use the frequency when it is less than 1 Hertz. The frequency is still a valid measure for waves with frequencies less than 1 Hz, but it may be more convenient to use the period instead.

How do fitness assessments help with a fitness program?
They provide an excuse to eat as much as you want.
They show the negative aspects of working out.
They ensure that the program is meeting the desired goals.
They demonstrate where a person can quit their program.

Answers

The fitness assessments helps as, they ensure that the program is meeting the desired goals.

option C.

What is fitness assessment?

Fitness assessment is defined as a process of evaluating an individual's physical fitness levels and overall health.

Fitness assessment typically involves a series of tests, measurements, and evaluations that are designed to assess various components of physical fitness, such as;

cardiovascular endurancemuscular strength and enduranceflexibilitybody composition, etc

Thus, fitness assessments ensure that the program is meeting the desired goals.

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Help me please!!!!!!!!!!

Answers

The velocity of the ball just before it hits the ground is 14.0 m/s

Let's solve the problem using the given equation:

[tex]v^2 = u^2 + 2as[/tex]

We know that u (initial velocity) is zero, s (distance traveled) is 10 meters, and a (acceleration due to gravity) is 9.81 m/s^2. We want to find the final velocity (v) just before the ball hits the ground.

Plugging in the given values, we get:

v^2 = 0 + 2(9.81)(10)

v^2 = 196.2

Taking the square root of both sides, we get:

v = sqrt(196.2)

v = 14.0 m/s

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--The complete Question is, A ball is dropped from a height of 10 meters. What is its velocity just before it hits the ground, assuming no air resistance? (Assume that the acceleration due to gravity is 9.81 m/s^2)

Hint: You can use the equation v^2 = u^2 + 2as, where v is the final velocity, u is the initial velocity (which is zero in this case), a is the acceleration due to gravity, and s is the distance traveled.--

Find the terminal velocity of a sphere that has a mass of 600g and a radius of 30cm. Take the density of air 1.2 kg/m^3 . Report the speed in mph.

Answers

The terminal velocity of the sphere is approximately 22.68 mph.

The terminal velocity of a sphere is the constant speed at which the gravitational force pulling the sphere down is balanced by the drag force pushing the sphere up. The drag force is proportional to the velocity of the sphere, and can be calculated using the following formula:

Fd = (1/2) * rho * Cd * A * v²

where Fd is the drag force, rho is the density of the fluid (air in this case), Cd is the drag coefficient (which depends on the shape of the object), A is the cross-sectional area of the object perpendicular to the direction of motion, and v is the velocity of the object.

The gravitational force pulling the sphere down is given by:

Fg = m * g

where m is the mass of the sphere and g is the acceleration due to gravity.

At terminal velocity, the drag force is equal in magnitude to the gravitational force, so:

Fd = Fg

Substituting the expressions for Fd and Fg and solving for v, we get:

v = √((2 * m * g) / (rho * Cd * A))

where A = pi * r² is the cross-sectional area of the sphere, and r is the radius of the sphere.

Plugging in the given values, we get:

v = sqrt((2 * 0.6 * 9.81) / (1.2 * 0.47 * pi * 0.3²)) ≈ 10.13 m/s

To convert this to mph, we multiply by 2.23694:

v ≈ 22.68 mph

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i need answers asap :)

Answers

The frequency of red light having wavelength 650nm in vacuum is 4.6 x 10¹⁴ Hz.

The frequency of light can be calculated using the formula:

frequency = speed of light / wavelength

In vacuum, the speed of light is approximately 3 x 10⁸ m/s.

Converting the wavelength to meters: 650 nm = 650 x 10⁻⁹ m

Plugging these values into the formula, we get:

frequency = (3 x 10⁸ m/s) / (650 x 10⁻⁹ m) = 4.6 x 10¹⁴ Hz

Therefore, the frequency of red light with a wavelength of 650nm in vacuum is 4.6 x 10¹⁴ Hz.

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An astronaut measure the period of a mass spring system on Earth. How would the period be affected if the astronaut measured the period of the same mass spring system on the moon? (Moon's gravity = 1/6 Earth's gravity.)

Answers

An astronaut measure the period of a mass spring system on Earth.

The period of a mass spring system on the moon would be longer than the period on Earth. This is because the period of a mass spring system is dependent on the square root of the ratio of the mass to the spring constant, and the acceleration due to gravity. Since the acceleration due to gravity on the moon is only 1/6th of that on Earth, the restoring force on the mass will be weaker, resulting in a longer period. Therefore, the astronaut would measure a longer period for the same mass spring system on the moon than on Earth.

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If a mass-spring system has a frequency of 9.7 Hertz, and a spring constant of 242 N/m, how much mass is on the spring? Answer to the nearest gram.

Answers

Answer:

Approximately [tex]65\; {\rm g}[/tex] (assuming that the spring is horizontal, and that mass of the spring is negligible.)

Explanation:

In a simple harmonic motion, assuming that the mass is at position [tex]0[/tex] when time is [tex]0[/tex], the position [tex]x[/tex] of the mass (the oscillator) at time [tex]t[/tex] would be:

[tex]x = A\, \sin(\omega\, t)[/tex], where:

[tex]A[/tex] is the amplitude of the motion, and[tex]\omega[/tex] is the angular velocity of the motion.

Note that [tex]\omega = 2\, \pi\, f[/tex] where [tex]f[/tex] is the frequency of the motion. It is given that [tex]f = 9.7\; {\rm s^{-1}}[/tex] in this question.

Differentiate [tex]x = A\, \sin(\omega\, t)[/tex] with respect to time [tex]t[/tex] to find the velocity of the oscillator at time [tex]t[/tex]:

[tex]v = A\, \omega \, \cos(\omega\, t)[/tex].

Differentiate again to find the acceleration of the oscillator:

[tex]a = (-A\, \omega^{2})\, \sin(\omega\, t)[/tex].

Let [tex]m[/tex] denote the mass of the oscillator and assume that mass of the spring is negligible. Assuming that the spring is horizontal, since all other force on the spring are balanced, the net force on the mass would be equal to the restoring force from the spring. By Newton's Laws of Motion, this net force would be:

[tex]F = m\, a = m\, (-A\, \omega^{2})\, \sin(\omega\, t)[/tex].

Divide the restoring force (which is equal to the net force) by displacement to find an expression for the spring constant:

[tex]\begin{aligned}k &= -\frac{F}{x} \\ &= -\frac{m\, (-A\, \omega^{2})\, \sin(\omega\, t)}{A\, \sin(\omega\, t)} \\ &= m\, \omega^{2}\end{aligned}[/tex].

Since [tex]\omega = 2\, \pi\, f[/tex], this equation becomes:

[tex]k = m\, \omega^{2} = (2\, \pi\, f)^{2}\, m[/tex].

Rearrange this equation to find mass [tex]m[/tex]:

[tex]\begin{aligned}m &= \frac{k}{(2\, \pi\, f)^{2}} \\ &= \frac{(242\; {\rm N\cdot m^{-1}})}{(2\, \pi\, (9.7\; {\rm s^{-1}}))^{2}} \\ &\approx 0.0651\; {\rm N\cdot m^{-1}\cdot s^{2}}\end{aligned}[/tex].

Note that [tex]1\; {\rm N} = 1\; {\rm kg\cdot m\cdot s^{-2}}[/tex]. Hence:

[tex]\begin{aligned}m &\approx 0.0651\; {\rm N\cdot m^{-1}\cdot s^{2}} \\ &= 0.065\; ({\rm kg\cdot m\cdot s^{-2}})\, ({\rm m^{-1}})\, ({\rm s^{2}}) \\ &= 0.0651\; {\rm kg\end{aligned}[/tex].

Apply unit conversion and round to the nearest gram:

[tex]m\approx 0.0651\; {\rm kg} \approx 65\; {\rm g}[/tex].

**NEED ANSWER ASAP**
Why does the Cosmic Microwave Background (CMB) peak in microwave if it was emitted in infrared?

**FAKE ANSWERS WILL BE REPORTED**

Answers

Cosmic Microwave Background (CMB) is a peak in the microwave if it was emitted in the infrared, as its peak is shifted from the optical and infrared because of the larger distance and redshifts.

Cosmic Microwave Background (CMB) is a kind of infrared radiation produced from stellar dust. This radiation is identified as the leftover of the Big Bang theory.

This radiation is in the microwave region of the electromagnetic spectrum. The radiation is very cold and passes throughout the universe.  The infrared region has a longer wavelength and hence it is transferred through the CMB.  

It is composed of infrared emissions from distant galaxies and by using powerful telescopes the redshifts and infrared emissions from the distant galaxies were detected.

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What is the total resistance in the circuit?

Answers

The total resistance in the circuit is 30 ohms. Option d is correct.

In an electric circuit, resistors can be connected in different ways, such as in series or parallel. When resistors are connected in series, the total resistance is equal to the sum of the individual resistances. This is because the same current flows through each resistor, and the total voltage across the resistors is divided among them.

The resistances in series is the sum of all resistances. The three resistances are, 10 ohms, 15 ohms and 5 ohms. Therefore,

Total Resistance = 10 ohms + 15 ohms + 5 ohms = 30 ohms.

Hence, option d is correct.

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The general gas law can be written as

Answers

PV = nRT. This is the formula for the General Gas Law.

A student sits on a rotating stool holding two 3.6-kg objects. When his arms are extended horizontally, the objects are 1.0 m from the axis of rotation and he rotates with an angular speed of 0.75 rad/s. The moment of inertia of the student plus stool is 3.0 kg · m2 and is assumed to be constant. The student then pulls in the objects horizontally to 0.43 m from the rotation axis. (a) Find the new angular speed of the student. rad/s (b) Find the kinetic energy of the student before and after the objects are pulled in. before J after J

Answers

(a) The new angular speed of the student is 2.34 rad/s, and (b) The kinetic energy of the student before the objects are pulled in is 8.22 J, and the kinetic energy of the student after the objects are pulled in is  24.8 J.

Angular speed, also known as rotational speed, is the measure of how fast an object rotates or revolves around a central point or axis, and it is measured in radians per second (rad/s) or degrees per second (°/s). It is a scalar quantity that describes the magnitude of the rotational velocity of an object.

(a) To solve for the new angular speed of the student, we can use the conservation of angular momentum. Initially, the student, stool, and objects have an angular momentum given by:

L = Iω

where I is the moment of inertia and ω is the angular speed. Since there is no external torque acting on the system, the angular momentum is conserved. Therefore, we can write:

I1ω1 = I2ω2

where I1 and ω1 are the initial moment of inertia and angular speed, and I2 and ω2 are the final moment of inertia and angular speed.

At the initial state, the moment of inertia of the student plus stool and objects is given by:

I1 = I_student + I_objects

where I_student is the moment of inertia of the student and stool and I_objects is the moment of inertia of the objects. The moment of inertia of the objects can be approximated as:

I_objects ≈ 2mr²

where m is the mass of one object and r is the distance from the axis of rotation to the object. Substituting the given values, we get:

I1 = 3.0 kg·m² + 2(3.6 kg)(1.0 m)² ≈ 29.04 kg·m²

At the final state, the moment of inertia is given by:

I2 = I_student + 2mr²

where r is the new distance from the axis of rotation to the objects. Substituting the given values, we get:

I2 = 3.0 kg·m² + 2(3.6 kg)(0.43 m)² ≈ 8.97 kg·m²

Substituting the known values and solving for ω2, we get:

I1ω1 = I2ω2

(29.04 kg·m²)(0.75 rad/s) = (8.97 kg·m²)ω2

ω2 ≈ 2.34 rad/s

So, the new angular speed of the student is approximately 2.34 rad/s.

(b) To solve for the kinetic energy of the student before and after the objects are pulled in, we can use the formula:

KE = (1/2)Iω²

where KE is the kinetic energy, I is the moment of inertia, and ω is the angular speed.

At the initial state, the kinetic energy is given by:

KE1 = (1/2)I1ω1² ≈ 8.22 J

Substituting the known values, we get:

KE1 ≈ (1/2)(29.04 kg·m²)(0.75 rad/s)² ≈ 8.22 J

At the final state, the kinetic energy is given by:

KE2 = (1/2)I2ω2²

Substituting the known values, we get:

KE2 ≈ (1/2)(8.97 kg·m²)(2.34 rad/s)² ≈ 24.8 J

So, the kinetic energy of the student before the objects are pulled in is approximately 8.22 J, and the kinetic energy of the student after the objects are pulled in is approximately 24.8 J.

Therefore, (a) The student's new angular speed is 2.34 rad/s, and (b) the student's kinetic energy before the objects are drawn in is around 8.22 J, and the student's kinetic energy after the things are pushed in is roughly 24.8 J.

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The absolute temperature of a sample of
monatomic ideal gas is doubled at constant
volume.
What effect, if any, does this have on the
pressure and density of the sample of gas?
Pressure Density
1. Remains the same Doubles
2. Remains the same Remains the same
3. Doubles Remains the same
4. Multiplied by 4 Doubles
5. Doubles Multiplied by 4

Answers

The pressure of the gas will also double, but the density of the gas remains the same.

option 3.

What is ideal gas law?

Ideal Gas Law, states that the  pressure of the gas is inversely proportional to its volume and directly proportional to its absolute temperature.

PV = nRT

Where;

P is pressureV is volumen is the number of moles of gasR is the ideal gas constantT is the temperature in Kelvin

When the absolute temperature of a sample of monatomic ideal gas is doubled at constant volume, the pressure of the gas will also double, but the density of the gas remains the same.

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A vertical column of water will be supported to what height by standard atmospheric pressure .
Answer please:

Answers

Answer: A vertical column of water can be supported to a height of about 10.3 meters (33.8 feet) by standard atmospheric pressure.

- This is because the weight of the column of water is balanced by the pressure exerted by the air above it. This phenomenon is known as hydrostatic pressure, and it is the reason why water towers and barometers work.

Which of the following types of energy does not directly result when a rocket is set off using chemical energy?
thermal energy
electromagnetic energy
radiant energy
sound energy

Answers

Answer:

potential energy

Explanation:

Light from a hydrogen discharge tube is sent through an optical lattice with 560 splits per mm.

Calculate the angle of the red line (λ = 656 nm) in the ∅₁ 1st order.

Answers

The angle of the red line (λ = 656 nm) in the ∅₁ 1st order is 0.0321 radians.

An optical lattice is a periodic structure formed by interfering laser beams, which creates a spatially varying pattern of light and dark regions. The lattice serves as a diffraction grating that can split light into its constituent wavelengths, enabling scientists to study the properties of light and matter. Optical lattices are widely used in experiments involving cold atoms, quantum optics, and condensed matter physics.

The angle of the red line (λ = 656 nm) in the ∅₁ 1st order can be calculated using the formula:

sin(θ) = mλ/d

where θ is the angle between the incident light and the diffracted light, m is the order of the diffraction (m = 1 for the ∅₁ 1st order), λ is the wavelength of the light, and d is the spacing between the diffracting elements of the grating (d = 1/560 mm in this case).

Substituting the values given, we get:

sin(θ) = (1)(656 nm)/(1/560 mm)

sin(θ) = 0.0005596

Taking the inverse sine of both sides, we get:

θ = sin⁻¹(0.0005596)

θ = 0.0321 radians

Therefore, the angle of the red line (λ = 656 nm) in the ∅₁ 1st order is 0.0321 radians.

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Ball 1, with a mass of 110 g and traveling at 15 m/s, collides head on with ball 2, which has a mass of 340g and is initially at rest.

What is the final velocity of the ball 2 if the collision is perfectly elastic?

What is the final velocity of the ball 2 if the collision is perfectly elastic?

What is the final velocity of the ball 1 if the collision is perfectly inelastic?

What is the final velocity of the ball 2 if the collision is perfectly inelastic?

Answers

The final velocity of the ball 2 if the collision is perfectly elastic is 5.87 m/s.

The final velocity of the ball 2 if the collision is perfectly elastic  7.12 m/s.

The final velocity of the ball 1 if the collision is perfectly inelastic 4.4 m/s

The final velocity of the ball 2 if the collision is perfectly inelastic 4.4 m/s

Momentum is defined as product of mass and velocity of the body. It is denoted by letter p and it is expressed in kg.m/s. Mathematically p = mv. it discuss the moment of the body. body having zero mass or velocity has zero momentum. The dimensions of the momentum is [M¹ L¹ T⁻¹].

according to conservation law of momentum,

momentum before collision is equal to momentum after collision.

for elastic collision,

m₁v₁ +m₂v₂ = m₁v₁' + m₂v₂'

for inelastic collision,

m₁v₁ +m₂v₂ = (m₁+ m₂)v

where,

mass of the ball 1 m₁ = 110g = 0.11 kg

mass of the ball 2 m₂ = 340 g = 0.34kg

initial velocity of ball 1 v₁ = 15 m/s

initial velocity of ball 2 v₂ = 0 m/s

final velocity of ball 1 v₁' = ?

final velocity of ball 2 v₂' = ?

velocity of both ball v = ?

for elastic collision,

m₁v₁ +m₂v₂ = m₁v₁' + m₂v₂'

putting all the values,

0.11× 15 = 0.11v₁' + 0.34v₂'

1.65 = 0.11v₁' + 0.34v₂' _______1)

According to conservation energy in elastic collision,

1/2m₁v₁² + 1/2m₂v₂² = 1/2m₁v₁'² + 1/2m₂v₂'²

1/2×0.11×15² = 1/2×0.11×v₁'² + 1/2×0.34×v₂'²

12.37 = 0.055×v₁'² + 0.17×v₂'²______2)

Solving this simultaneous equation we get,

v₁' = 5.87 m/s

v₂'= 7.12 m/s

for inelastic collision,

m₁v₁ +m₂v₂ = (m₁+ m₂)v

0.11×18 + 0 = (0.11 + 0.34 )v

v = 4.4 m/s

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Need help Physics Will make Brainliest

Answers

F=(k q1 q2)/ r^2

Force between q1 and q2
F= (8.99*10^9)(8*10^-6)(3.5*10^-6)
F= 25.2 N
Meaning 25.2 N to the right

Force between q2 and q3
F= (8.99*10^9)(3.5*10^-6)(-2.5*10^-6)
F= -3.5 N
Meaning 3.5 N to the left

Resultant force= 25.2-3.5
Resultant force on q2= 21.6 N to the right

Hope this helps :)

The net force on particle q₂ is 1.05 x 10¹³ N, directed towards particle q1.

To find the net force on particle q₂, we need to calculate the force between q₁ and q₂, and the force between q₂ and q₃, and then add these two forces together.

The force between two point charges can be calculated using Coulomb's law, which states that

F = k × q₁× q₂ / r²

where F is the force, k is Coulomb's constant (9.0 x 10⁹ N m² / C²), q₁ and q₂ are the magnitudes of the charges, and r is the distance between the charges.

The force between q₁ and q₂ is

F₁ = k × q₁ × q₂ / r₁²

where r₁ = 0.10 m.

Substituting the values, we get

F₁ = 9.0 x 10⁹ N m² / C²  × 8.0 C  × 3.5 C / (0.10 m)² = 2.52 x 10¹³ N

The force between q₂ and q₃ is

F₂ = k  × q₂  × q₃ / r₂²

where r₂ = 0.15 m.

Substituting the values, we get

F₂ = 9.0 x 10⁹ N m² / C²  × 3.5 C  × (-3.5 C) / (0.15 m)² = -1.47 x 10¹³ N

Note that the negative sign indicates that the force is attractive, since q₂ and q₃ have opposite signs.

The net force on q₂ is the vector sum of F₁ and F₂

[tex]F_{net}[/tex] = F₁ + F₂ = 2.52 x 10¹³ N - 1.47 x 10¹³ N = 1.05 x 10³ N

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Explain how you know that the electron configurations

Answers

The electron configuration of an atom describes the arrangement of its electrons in various energy levels and orbitals. The total number of electrons in an atom is equal to its atomic number.

How to determine electron configurations?

(a) Boron has an atomic number of 5, meaning it has 5 electrons. The electron configuration of boron is 1s²2s²2p¹, that is it has 2 electrons in the 1s orbital, 2 electrons in the 2s orbital, and 1 electron in the 2p orbital. The total number of electrons is 2+2+1=5.

(b) Aluminum has 13 electrons since it has an atomic number of 13. Aluminum's electron configuration is 1s²2s²2p⁶ 3s²3p¹, which means it contains two electrons in the 1s orbital, 2 electrons in the 2s orbital, 6electrons in the 2p orbital, 2 electrons in the 3s orbital, and 1 electron in the 3p orbital. The total number of electrons is correct: 2+2+6+2+1=13.

(c) Potassium has an atomic number of 19, meaning it has 19 electrons. The electron configuration of potassium is 1s²2s²2p⁶ 3s²3p⁶ 4s¹, that is it has 2 electrons in the 1s orbital, 2 electrons in the 2s orbital, 6 electrons in the 2p orbital, 2 electrons in the 3s orbital, 6 electrons in the 3p orbital, and 1 electron in the 4s orbital. Total number of electrons is 2+2+6+2+6+1=19.

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4. A 40.0 kg child swings in a swing supported by two chains, each 3.00 m long. If the tension in each at the lowest point is 350N, find (i) The child’s speed at the lowest point ,

Answers

The child's speed at the lowest point is 5.42 m/s.

At the highest point of the swing, the child is momentarily at rest and has only potential energy. At the lowest point, the child has only kinetic energy.

Using the conservation of mechanical energy, we can write:

Potential energy at highest point = Kinetic energy at lowest point

mgh = (1/2)mv²

where m is the mass of the child, g is the acceleration due to gravity, h is the height of the swing at the highest point, and v is the speed of the child at the lowest point.

First, we need to find the height of the swing at the highest point. Since the swing is supported by two chains, the height of the swing at the highest point is half the length of the chains:

h = (1/2)3.00 m = 1.50 m

Next, we can solve for the child's speed at the lowest point:

mgh = (1/2)mv²

40.0 kg * 9.81 m/s² * 1.50 m = (1/2) * 40.0 kg * v²

588 J = 20.0 kg * v²

v² = 29.4 m²/s²

v = 5.42 m/s

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MATERIAL SPECIFIC HEAT
water (pure) 4,184
aluminum 900
steel 470
silver 235
oil 1,900
concrete 880
glass 800
gold 129
wood 2,500

A 0.8-kilogram piece of aluminum increases its temperature 15°C when heat is added. How much heat energy produced this change in tempurature?

A) 12 Joules
B) 900 Joules
C) 5,600 Joules
D) 10,800 Joules​

Answers

To calculate the heat energy produced, we can use the formula:

Q = m * c * ΔT

where Q is the heat energy produced, m is the mass of the object, c is the specific heat of the material, and ΔT is the change in temperature.

Substituting the given values, we get:

Q = (0.8 kg) * (900 J/kg°C) * (15°C)
Q = 10,800 J

Therefore, the amount of heat energy produced is 10,800 Joules. The answer is (D).

Which statements accurately compare the tectonic activity of the planets? Check all that apply. The terrestrial planets experience quakes; the gas giants do not. The gas giants have multiple plates; the terrestrial planets do not. The gas giants have no true surfaces, so they experience tectonic activity. Terrestrial planets experience (or experienced) tectonic activity; gas giants do (or did) not. Mountains and volcanoes are found on the gas giants, not on terrestrial planets. Activity in the molten interior of the terrestrial planets results (or resulted) in tectonic activity.

Answers

1. The terrestrial planets experience quakes; the gas giants do not. 4.Terrestrial planets experience tectonic activity; gas giants do not.

6. Activity in molten interior of the terrestrial planets results in tectonic activity. Correct options are: 1, 4, 6.

Terrestrial planets, such as Earth, Mars, and Venus, have a solid surface that is broken into several pieces called tectonic plates. Gas giants like Jupiter and Saturn, on  other hand, do not have a solid surface and, therefore, do not experience quakes. For example, is responsible for the formation of mountains, ocean basins, and other geological features. Heat generated by decay of radioactive elements within Earth's core causes convection currents, which move the tectonic plates around. Hence Correct answer: 1,4,6.

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--The complete Question is, Which statements accurately compare the tectonic activity of the planets?

Check all that apply.

1. The terrestrial planets experience quakes; the gas giants do not.

2. The gas giants have multiple plates; the terrestrial planets do not.

3. The gas giants have no true surfaces, so they experience tectonic activity.

4. Terrestrial planets experience (or experienced) tectonic activity; gas giants do (or did) not. 5. Mountains and volcanoes are found on the gas giants, not on terrestrial planets.

6. Activity in the molten interior of the terrestrial planets results (or resulted) in tectonic --

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