The density of water is 1.0g/cm*3. This is useful as it means we can measure the mass of water and easily work out its volume.

a. What is the mass of 1cm*3 of water?
b. What is the mass of 20cm*3 of water?
c. What is the volume of 10g of water?
d. What is the volume of 22.5g of water?

e. Milan is measuring the density of ethanol. He weighs a bottle three times: first, empty;
then filled with ethanol. Here are his results:
mass of empty bottle = 30.0g
mass of bottle filled with water = 90.0g
mass of bottle filled with ethanol = 78.0g
i. Calculate the volume of the bottle.
ii. Calculate the mass of the ethanol.
iii. Calculate the density of ethanol.

a) Mutual inductance = 0.108 H; Coupling coefficient = 0.482. b) - 4.95 V.


a) Mutual inductance, M between coil A and coil B can be given as:

M = k√(L_AL_B) here, k is the coupling coefficient, L_A and L_B are the inductances of the coil A and coil B respectively. Since 54% of flux produced by coil A links coil B,

So, K = 0.54

L_A = N_A Φ/I_AL_A

= 8120 × 0.02/6

= 27.07 mH

L_B = N_B Φ/I_BL_B

= 11842 × 0.078/6

= 154.63 mH

M = k√(LALB) = 0.482 × √(27.07 × 0.15463) = 0.108 H

b) The emf induced in coil B can be given as:-

ε = M (dI_B/dt)/L_B

ε = 0.108 × (-6/0.015) / 0.15463 = -4.95 V

Thus, the emf induced in coil B when the current is reversed in 0.015 seconds is -4.95 V.

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The energy required to remove the remaining electron from a singly ionized helium atom (He+) can be calculated using the concept of ionization energy. The ionization energy is expressed in electron volts (eV) and represents the amount of energy needed to completely remove an electron from an atom.

In the case of a singly ionized helium atom, one electron has already been removed, leaving a helium ion with a charge of +1. To remove the remaining electron, we need to consider the ionization energy of helium.

The ionization energy of helium is the energy required to remove one electron from a neutral helium atom. It is known that the ionization energy of helium is approximately 24.6 eV. However, since we are dealing with a singly ionized helium atom (He+), which already lost one electron, the energy required to remove the remaining electron will be different.

To find the energy required, we need to consider the ionization energy for helium, which is the energy needed to remove the first electron, and subtract it from the ionization energy for hydrogen, which is the energy required to remove the first electron from a hydrogen atom. The ionization energy for hydrogen is approximately 13.6 eV.

Therefore, the energy required to remove the remaining electron from a singly ionized helium atom is approximately (24.6 - 13.6) eV = 11 eV.

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Answer:

Mixture C (salt and sugar)

Explanation:

Both salt and sugar can dissolve in water. And you can't just separate the mixture by filtering it like you could in the other mixtures.

The position vs. time graph is a depiction of the motion of an object with time, while the acceleration vs. time graph is a depiction of how the acceleration of an object changes with time. The position-time graph will show an increasing slope for a moving object and a decreasing slope for a stationary object.

When an object is speeding up, its acceleration increases, and when it is slowing down, its acceleration decreases.The slope of the acceleration-time graph reflects the change in velocity over time. For an object that is speeding up, the acceleration-time graph has a positive slope since the object's speed is increasing, whereas for an object that is slowing down, the slope of the acceleration-time graph is negative, and the object's speed is decreasing. Finally, for an object that is stationary, the acceleration-time graph has a slope of zero since the speed is not changing.

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The net force on the block parallel to the incline is

∑ F = -mg sin(θ) = ma

where m is the mass of the block, g = 9.8 m/s² is the acceleration due to gravity, θ is the angle the incline makes with the horizontal, and a is the acceleration of the block. Solving for a gives

a = -g sin(θ)

so the block would slide down the incline with acceleration

a = - (9.8 m/s²) sin(30°) = -4.9 m/s²

Answer:

2 electrons in energy level 6

The dark fringes on either side of the central bright fringe in single-slit diffraction are caused by destructive interference. When light passes through a narrow slit, it diffracts, or spreads out, into a pattern of bright and dark fringes.

When waves of light pass through a narrow slit, they spread out in all directions, forming a pattern of bright and dark fringes. The pattern is a result of interference between the waves of light. When two waves meet, they can either add together (constructive interference) or cancel each other out (destructive interference), depending on the phase of the waves.


This interference pattern consists of a central bright fringe (maximum) surrounded by alternating dark (minimum) and bright fringes. The dark fringes occur when light waves from the slit destructively interfere with each other. This means that the crest of one wave coincides with the trough of another wave, resulting in their amplitudes cancelling each other out and creating a dark fringe. This pattern continues on either side of the central bright fringe, with the dark fringes becoming progressively less distinct as they move further from the center.

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The velocity of the object when it hits the Earth's surface depends only on the height from which it was dropped and the acceleration due to gravity.

The velocity of an object when it hits the Earth's surface can be calculated using the principle of conservation of energy. When the object is released from rest at a distance r0 from the Earth's center, it has an initial gravitational potential energy of mgh0, where g is the acceleration due to gravity and h0 is the height of the object above the Earth's surface.

As the object falls towards the Earth's surface, its potential energy is converted into kinetic energy. When it hits the Earth's surface, all of its potential energy has been converted into kinetic energy. Therefore, we can write:

\(mgh0 = (1/2)mv^2\)

where v is the velocity of the object when it hits the Earth's surface.

Solving for v, we get:

v = sqrt(2gh0)

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The frequency f₁ of the string's fundamental mode of vibration is approximately 96 Hz, expressed to three significant figures.

The formula used to determine the frequency of a string's fundamental mode of vibration is given by:

f₁ = (1/2L) √(T/μ)

where:

f₁ is the frequency of the string's fundamental mode of vibration

L is the length of the string

T is the tension in the string

μ is the linear mass density of the string

Given values:

L = 0.600 m

T = 765 N

μ = 0.0075 kg/m

By substituting the values into the formula:

f₁ = (1/2L) √(T/μ)

f₁ = (1/2 × 0.600 m) √(765 N/0.0075 kg/m)

f₁ = (0.300 m) √(102000 N/m²)

f₁ = (0.300 m) (319.155)

f₁ = 95.746 Hz ≈ 96 Hz

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The box with the changing data shows that the acceleration is constant at 4.90 m/s2, but i thought g = 9.80 m/s2.

The acceleration due to gravity (g) is different from the acceleration of the object itself. Although g is usually taken to be 9.8 m/s2, it can vary depending on the object's location and height above the Earth's surface. As a result, a falling object can experience acceleration greater than, less than, or equal to g when air resistance is taken into account or not

In the given scenario, the box is not necessarily in free fall; it could be undergoing linear motion along a surface. Furthermore, the box could be in free fall, but with air resistance affecting its motion. In this situation, the box's acceleration would be less than g.The box's acceleration may have been determined using an accelerometer or a ticker tape. Regardless, the acceleration indicates the rate at which the box's velocity is changing, which may or may not be equal to g.

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The planetary body with the fastest orbit is Mercury, and the one with the slowest orbit is Neptune.

There is a general pattern between orbital velocity and orbital radius known as Kepler's second law of planetary motion. According to this law, a planet sweeps out equal areas in equal times as it orbits the Sun. This implies that planets closer to the Sun have smaller orbital radii and must travel faster to cover the same area in the same amount of time.

The relationship between orbital velocity and orbital radius can be expressed as v ∝ 1/r, where v represents the orbital velocity and r denotes the orbital radius. This relationship shows that as the orbital radius increases, the orbital velocity decreases. In other words, planets farther from the Sun have slower orbital velocities compared to those closer to the Sun.

This pattern is consistent with observations in our solar system. The inner planets, such as Mercury, have smaller orbital radii and faster orbital velocities, while the outer planets, like Neptune, have larger orbital radii and slower orbital velocities.

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The vertical component of the velocity at the starting is 12.5 m/s upwards.

Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time.

In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a fundamental idea.

Given that  stone is thrown upwards with an initial velocity of 25 m/s at angle of 30°.

Hence,  the vertical component of the velocity in upward direction = 25 sin30° m/s

= 25 × 1/2 m/s

= 12.5 m/s.

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thats the answer 121500J

The total mechanical kinetic energy of the rider and motorcycle is  121500 Joule.

Mechanical energy, also known as kinetic energy or potential energy, is the energy that an object possesses when it is in motion or the energy that an object stores due to its location. Renewable energy is also fueled by mechanical energy. In order to efficiently produce electricity or convert energy, many sources of renewable energy depend on mechanical energy.

Given parameters:

Mass of the person: m = 70 kg.

Mass of the motorcycle: M = 200 kg.

Speed of the motorcycle: v = 30 m/s.

Total mass of the person and the motorcycle = m + M = 70 kg + 200 kg = 270 kg.

Hence, total mechanical kinetic energy = 1/2 × total mass × speed²

= 1/2 × 270 × 30² Joule

= 121500 Joule.

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The number of water molecules in the hot tub is 1.47×10²⁷ molecules

The following data were obtained from the question:

The number of water molecules in the hot tub can be obtained as follow

Number of molecules = Mass of water / mass of one molcule

Number of molecules = 4.38×10³ / 2.98×10⁻²⁴

Number of molecules = 1.47×10²⁷ molecules

Thus, number of molecules in the hot tub 1.47×10²⁷ molecules

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Answer:

fbddb

Explanation:

dsbse

The discoverer of X-rays was Roentgen. Option c

Wilhelm Conrad Roentgen, a German physicist, discovered X-rays on November 8, 1895. Roentgen was experimenting with cathode rays in a vacuum tube when he noticed a fluorescent screen in his lab was emitting light despite being far from the cathode ray tube.

He realized that an unknown ray was passing through the tube and causing the screen to glow. Roentgen called this new type of ray "X-ray," and he went on to study and document its properties.

This discovery led to a revolution in medical imaging, allowing doctors to see inside the human body without the need for invasive procedures. Roentgen was awarded the Nobel Prize in Physics in 1901 for his discovery.

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to find the modulus of elasticity MoE at 23% of moisture content based on the already given modulus of elasticity of 12% moisture content we need to consider a shrinkage behavior of material. the expected MoE comes out to be approximately \(6,836 N/mm².\)

given information:

Modulus of elasticity at 12% moisture content =7,920 N/mm²

resultant shrinkage or final shrinkage percentage FSP = 30%

To calculate the expected MoE at 23% moisture content we have the following equation:

MoE-23% =   \(MoE-12%\) \((1 - FSP (23 - 12) / (100 - 12))\)

MoE-23% = \(7,920 N/mm² × (1 - 0.30 × (23 - 12) / (100 - 12))\)

MoE-23% =\(7,920 N/mm² × (1 - 0.30 × 11 / 88)\)

MoE-23% = \(7,920 N/mm² × (1 - 0.1364)\)

MoE-23% = \(7,920 N/mm² × 0.8636\)

MoE-23% =  \(6,836 N/mm²\)

therefore the expected modulus of elasticity at 23% moisture content comes out to be approx \(6,836 N/mm²\).

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Answer:

Your average velocity would be 20 m/s.

Explanation:

hope this helped!

Answer:

3.33 A

Explanation:

Equalent Resistance=30 ohms

I = V / R

I = 100 / 30

I = 3.33 A

11.The time at 75° East longitude would be 1 hour and 20 minutes behind. 12.The time at 135° degrees East longitude would be 4 hours ahead. and 13. the time in Lima, Peru (15° South latitude, 75° West longitude) would also be 9:30 AM.

At 2:00 AM at 90° East longitude, the time at 75° East longitude would be 1 hour and 20 minutes behind. This is because for every 15 degrees of longitude, there is a time difference of approximately 1 hour. Since the two longitudes in question have a difference of 15 degrees, we can divide this by 15 to calculate the time difference.

If it is 8:00 PM at 15° East longitude, the time at 135° East longitude would be 4 hours ahead. Similarly, for every 15 degrees of longitude, there is an approximate time difference of 1 hour. Since the two longitudes in question have a difference of 120 degrees, we can divide this by 15 to calculate the time difference.

There is a 7-hour difference** between 105° West longitude and the Prime Meridian (0° longitude). The Prime Meridian, passing through Greenwich, England, serves as the reference point for determining time zones. As one moves westward from the Prime Meridian, each 15 degrees of longitude corresponds to a time difference of approximately 1 hour. Therefore, the time at 105° West longitude would be 7 hours behind the time at the Prime Meridian.

If it is 9:30 AM in New York (41° North latitude, 75° West longitude), the time in Lima, Peru (15° South latitude, 75° West longitude) would also be 9:30 AM. The latitude does not affect the time difference between the two locations. However, since both locations have the same longitude (75° West), they would experience the same local time. The time difference between different latitudes is primarily significant for determining time zones rather than the actual time within a specific time zone.

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Answer:

La distancia por carretera de Chitré a Parita es de 12 km o 39370.08 pies.

Explanation:

La regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y un valor desconocido, estableciendo una relación de proporcionalidad entre todos ellos.

Si la relación entre las magnitudes es directa, es decir, cuando una magnitud aumenta, también lo hace la otra (o cuando una magnitud disminuye, también lo hace la otra), se debe aplicar la regla directa de tres. Para resolver una regla directa de tres, se debe seguir la siguiente fórmula, siendo a, b y c los valores conocidos y x el valor a determinar:

a ⇒ b

c ⇒ x

Entonces \(x=\frac{c*b}{a}\)

La regla directa de tres es la regla que se aplica en este caso donde hay un cambio de unidades. Para realizar esta conversión de unidades, primero debes saber que 1 km = 3280,84 pies. Entonces, si 1 km son 3280,84 pies, ¿cuántos pies son 12 km?

1 km ⇒ 3280.84 pies

12 km ⇒ x

\(x=\frac{12 km*3280.84 pies}{1 km}\)

x= 39370.08 pies

La distancia por carretera de Chitré a Parita es de 12 km o 39370.08 pies.

The expected chain length (number of repeating units per chain) that would be formed in the experiment, assuming all initiators initiate chains and all monomers add onto the chains can be calculated using the following formula.

Expected chain length = (Number of moles of monomers used/Number of moles of initiators used) + 1Where,+ 1 denotes the length of the initiator's unit and is added to the average number of monomer units. Hence, it indicates the length of the polymer's first unit.The number of moles of monomers used can be determined as follows

The number of moles of initiators used can be determined as follows:Number of moles of initiators = (Mass of initiators used/Molecular weight of initiators)Example:If the mass of monomers used is 0.05 g and the molecular weight of monomers is 100 g/mol, then the number of moles of monomers used

= (0.05/100) mol

= 5 × 10⁻⁴ molIf the mass of initiators used is 0.01 g and the molecular weight of initiators is 200 g/mol

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Given:

Energy = 1 kWh

Voltage = 220 Volts

Let's find the amount of electric current that must flow through the light bulb.

To find the amount of electric current, apply the formula:

Where:

P is the power in watts = 1 kWh = 1000 Watts

V is the voltage = 200 V

I is the electric current.

Rewrite the formula for I and solve:

Therefore, the amount of electric current that must flow through the light bulb is 4.5 Ampere

ANSWER:

4.5 A

Answer:

it's either carbon or silicone

Answer:

The heat necessary to warm 500g of water from 20°C to 65°C is 37,620 J.

Explanation:

GIVEN: m = 500 gm, T₂ = 65°C AND T₁  = 20°C, we know that c (specific heat capacity) = 4180

TO FIND: The heat necessary to warm 500g of water from 20°C to 65°C.

SOLUTION:

By using the heat equation,

              Q=m c ΔT  

             ΔT = T₂ - T1

             ΔT = 65 - 20 = 45°C

In this case,

Q = 0.2 × 4180 × 45 = 37,620 J

A neuron's internal electrical potential in relation to the surrounding extracellular space is known as the resting membrane potential. A neuron is an illustration of a cell that may be excited electrically. The neuron has a negative charge while at rest in relation to its surroundings.

Whenever you refer to someone or something as having potential, you are referring to their capacity for future success or utility. The kid is quite talented. The school works hard to recognize each student as a person and to support them in achieving their full potential.

This new drug's potential advantages have doctors quite enthusiastic. A potential environmental concern, according to critics, is the factory. future expansion of the institution. His candidacy for president is conceivable.

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A neuron's internal electrical potential in relation to the surrounding extracellular space is known as the resting membrane potential. A neuron is an illustration of a cell that may be excited electrically. The neuron has a negative charge while at rest in relation to its surroundings.

What does having potential entail?

Whenever you refer to someone or something as having potential, you are referring to their capacity for future success or utility. The kid is quite talented. The school works hard to recognize each student as a person and to support them in achieving their full potential.

What does potential and an example mean?

This new drug's potential advantages have doctors quite enthusiastic. A potential environmental concern, according to critics, is the factory. future expansion of the institution. His candidacy for president is conceivable.

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Thus the complete question is :

What is resting membrane potential? Choose the correct option.

A) Difference in electrical charge across the membrane at rest

B) Generation and conduction of action potential at rest

C) Positive charge inside the membrane with respect to outside at rest

D) Isolation of the cytosol from extracellular fluid

Answer:

a) given that mass=0.6kg,distance of stretching from equilibrium position x=0.9m from new ton's second law,F=ma where a is acceleration of the body.Therefore,force on the spring -mass syste

Explanation:

hope it helps

The force field F(p) = -(k/p^2)e represents an inverse square force law, where k is a constant and p is the radial distance from the origin. To find the angular frequency of polar vibrations around stable circular motion, we can consider the equation of motion for a particle in a circular orbit.

For circular motion, the centripetal force is given by Fc = mω^2p, where m is the mass of the particle, ω is the angular frequency, and p is the radial distance.Equating the centripetal force to the force field, we have:-
(k/p^2)e = mω^2p
Simplifying, we get:
k/p^3 = mω^2
Taking the square root and rearranging, we find:
ω = √(k/(mp^3))
This is the angular frequency of polar vibrations around stable circular motion.To show that this frequency is equal to the rotational angular frequency of circular motion, we can recall that in circular motion, the rotational angular frequency ω_rot = v/p, where v is the tangential velocity.Since the tangential velocity v = ω_rot * p, we can substitute this into the equation for ω:
ω = √(k/(m * p^3)) = √(k/(m * p^2)) * (1/p)
Using the relation v = ω_rot * p, we can rewrite the expression as:
ω = √(k/(m * p^2)) * (1/p) = √(k/(m * p^2)) * (1/(v/p))
Simplifying, we get:
ω = √(k/(m * p^2)) * (p/v) = v/√(m * k)
This shows that the angular frequency ω is equal to the rotational angular frequency ω_rot. Therefore, the angular frequency of polar vibrations around stable circular motion is equal to the rotational angular frequency of circular motion.

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Answer:

B.

Goals are scored by kicking the ball through goalposts.

Explanation: