An object travels 12 m in the 1st second of travel, 12 m again during the 2nd second of travel, and 12 m again during the 3rd second. Its acceleration is therefore ___ m/s2.

The 3kg of 20% of salt brine at 65 degrees Celsius has more enthalpy than the 5kg of 20% salt brine at 50 Degrees Celsius.

Enthalpy is defined as the total heat content of a system. The enthalpy is a measure of the total work which the system can do plus the internal energy of the system.

The enthalpy of the given solutions can be calculated as follows:

For the 3kg of 20% of salt brine at 65 degrees;

mass of salt = 3 * 20%  = 0.6 kg

specific heat capacity = 3.56kJ/kg*C

temperature change = 65°C

Enthalpy = 0.6 * 3.56 * 65

Enthalpy = 232 kJ

For the 5kg of 20% salt brine at 50 Degrees Celsius;

mass of salt = 5 * 20%  = 1 kg

specific heat capacity = 3.56kJ/kg*C

temperature change = 50°C

Enthalpy = 1 * 3.56 * 50

Enthalpy = 178 kJ

Therefore, the 3kg of 20% of salt brine at 65 degrees Celsius has more enthalpy.

In conclusion, the enthalpy or heat content of the solutions depends on the mass and temperature change.

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The final velocity of the ball is  20.8 m/s. Option C

Now we have the equation;

v^2 = u^2 + 2gh

v = final velocity

u = initial velocity

a = acceleration

s = distance

v^2 = (11.4)^2 + (2 * 10 * 15.5)

v^2 = 129.96 + 310

v = √ 129.96 + 310

v = 20.8 m/s

b)

Given that;

R = u^2sin2θ/g

Where;

g = acceleration due to gravity

θ = acute angle

u = velocity

R = (60)^2 sin2(30)/10

R = 310 m

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The direction angle of 4w- (2u v) is equal to 353.7°.

A vector's direction angle is the angle formed by the positive x-axis and the vector v. The arctangent of the ratio between the vertical and horizontal components of the vector, v=ai+bj, can be used to determine the direction angle,, of the vector.

Use the formula = arctan(y/x) to determine the direction of the vector v = (x, y), where is the smallest angle the vector makes with the horizontal axis and x and y are its component vectors.

The angle a vector creates with a horizontal line is used to determine the vector's direction. The formula:where x is the horizontal change and y is the vertical change, gives the direction angle of a vector.

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Explanation:

according to my understanding, the value of gravitational acceleration changes because;different planets have different gravitational pull.

for example you may ask yourself why is it that the gravitational acceleration is not the same on earth and the moon.

this is because the gravitational force acting on an object on earth is greater than the gravitational force acting on an object and the Moon .

You know the moon is located in the space and one can fly, stand,dance etc.

all because the gravitational acceleration is low.

as for me when the distance from the centre of the Earth increases,

the gravitational acceleration decreases.

A good example is given by the moon.

The moon is miles away from the Earth and its gravitational acceleration is quite low .hope you got me.

If the temperature is doubled to 2t, the rate at which it will now radiate is 160 W.

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The first three harmonics of the string are 131.8 Hz, 263.6 Hz and 395.4 Hz.

The velocity of the wave is calculated as follows;

v = √T/μ

where;

v = √(50/0.002)

v = 158.1 m/s

f₀ = v/λ

where;

f₀ = v/2L

f₀ = 158.1/(2 x 0.6)

f₀ = 131.8 Hz

f₁ = 2f₀

f₁ = 2(131.8 Hz)

f₁ = 263.6 Hz

f₂ = 3f₀

f₂ = 3(131.8 Hz)

f₂ = 395.4 Hz

Thus, the first three harmonics of the string are 131.8 Hz, 263.6 Hz and 395.4 Hz.

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Answer:

focal length

Explanation:

This describes focal length of the beam

_______________

λ=2,4 nm = 2,4·10⁻⁹ m

c=3·10⁸ m/s

h=6,63·10⁻³⁴ J·s = 4,14·10⁻¹⁵ eV·s

_______________

E - ?

_______________

[tex]\displaystyle \boldsymbol{E}=h\nu =h \frac{c}{\lambda} =4,14\cdot 10^{-15} \; eV\cdot s\cdot \; \frac{3\cdot 10^8\; m/s}{2,4\cdot 10^{-9}\; m} =517,5\; eV\approx \boldsymbol{518\; eV}[/tex]

32.88grams of (Ag) silver would plate onto the pure electrode if a current of 6. 8A flowed through the cell for 72 minutes.

Silver can be electroplated at the cathode of an electrolysis cell by the half-reaction:

Ag+(aq)+e→Ag(s).

By Using the equation

Q= I×t,    where Q = charge

                           I = current = 6.8 A

                           t= time in seconds= 72×60=4320s

So,

Q=6.8×4320

Q = 29,376C

We see that 1 mole of electrons produces 1 mole of Ag from the half reaction.

1mole of electrons= 96,500C

xmoles of electrons= 29,376C

Cross multiplying;

29,376= 96,500 × x

Now , dividing both sides of the by 96,500

29,376/96,500=x

0.3044 moles of electrons will produce

0.3044×108 = 32.88grams of Ag

Therefore, 32.88grams of (Ag) silver would plate onto the pure electrode if a current of 6. 8A flowed through the cell for 72 minutes.

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The distance covered by the car before it stops is 98.58 m.

Force acting on the car will be

ma = -mg sinθ

where,

m = mass of the car

a = acceleration of the car

g = acceleration due to gravity

θ = angle of inclination

Given,

θ = 10°

Put the values in the above equation,

ma = -mg sinθ

a = -g sin 10°

a = -10 (0.173)

a = -1.73 m/s²

We know the initial velocity is 18.2m/s and when the car comes to a stop the final velocity becomes zero.

u = 18.2 m/s

v= 0 m/s

Using one of the kinematics equations,

v² - u² = 2as

0 - (18.2)² = 2 (-1.73) (s)

331.24 = 3.36 (s)

s = 98.58 m

Hence, the distance covered by the car before it stops is 98.58 m.

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The average force exerted by the runner is 200N.

A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

When a force is exerted across a distance to an item, work is accomplished. This implies that the total energy of an object will be impacted when a force is applied to it over a distance.

Work = Force x Distance

Force = work / distance

Force = 2000 J / 10 m

Force = 200 N

Hence, the average force exerted by the runner was 200N.

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Power output will be  = 637.7448 W

Newton's third law states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. The third law is also known as the law of action and reaction.

Power Output means the average rate of electric energy delivery during one Metering

The upward force by which the bicycle is riding up will be equal and opposite to m*g*sin(10°) (using newtons third law)

Force (upward ) =  m*g*sin(10°)

given

v = 4.4 m/s

mass (m) = 85 kg

F (upward ) =  m*g*sin(10°)

ma =  m*g*sin(10°)

a = g*sin(10°)

  = 9.8 * sin(10°)  = 1.7052 m / [tex]s^{2}[/tex]

Power = work / time = Force . displacement / time = mass * acceleration * velocity

           = m * a * v

           = 85 * 1.7052 * 4.4

           = 637.7448 W

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Thermo-Electrochemical converter (UTEC) is a thermodynamic cycle that does not account for the Carnot Efficiency.

Thermo-Electrochemical converter converts potential energy difference during oxidation and reduction of hydrogen in two cell structure to heat energy.

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The flow of electricity can be compared of water in the pipes because both water and electricity moves in the channel.

Water flowing in pipes is like flowing of electricity in a circuit. A battery is like a pump from where electricity comes and moves in the circuit. Electrons flowing through wires are like water molecules flowing through pipes. So in comparison between water and electricity, both water and electricity are similar to each other in flowing and movement.

So we can conclude that the flow of electricity can be compared of water in the pipes because both water and electricity moves in the channel.

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The current through the 10 Ω resistor is 0.586A which is connected with a resistor in series combination.

Voltage divides in a Series combination and current divides in a parallel combination.

Let the three resistors joined in parallel be R₁, R₂, R₃

where, R₁= 4 Ω

R₂ = 6 Ω

R₃ = 10 Ω

Given, a battery of 12V and a 2Ω resistor say r is series with the parallel combination.

Equivalent resistance(R) in parallel combination is:

1/R = 1/R₁ + 1/R₂ + 1/R₃

1/R = 1/4 + 1/6 + 1/10

On solving, R = 1.9 Ω

Now, the Equivalent resistance(R) of parallel combination is in series with r = 2Ω

Let Equivalent resistance of Series combination be R'

R' = R + r

R' = 1.9 + 2 Ω

R' = 3.9 Ω

Now let's calculate the voltage drop in the resistor r = 2Ω

v = i × r           where, i is the current in r and v is the voltage drop across r

v = 3.07 × 2

v = 6.14V

Voltage drop, V' across the Equivalent resistance(R) in parallel combination = Total voltage - voltage drop in the resistor r

V' = 12 - 6.14 V

V' = 5.86V

Now, the Voltage drop, V' across the Equivalent resistance(R) in parallel combination is same for all the three resistors R₁, R₂, R₃

So, Voltage is same in a parallel combination.

V' = I × R₃

5.86 = I × 10

I = 0.586A

Hence, The current through the 10 Ω resistor is 0.586A

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The mass of the electron is [tex]1.72\times 10^{-30}[/tex] Kg.

To calculate the mass of the electron we are using the formula,

[tex]m=\frac{m_{0} }{\sqrt{1-\frac{v^{2} }{c^{2} } } }[/tex]

Here we are given,

[tex]m_0[/tex]=The rest mass of an electron =  [tex]9. 11 \times 10^{-31}[/tex] kg.

v= The velocity of electron =  0. 85c.

c= The velocity of light = c.  (c=[tex]3\times 10^8[/tex] m/s)

We have to found the mass of an electron = m Kg.

Now we substitute the known values, we found that,

[tex]m=\frac{9. 11 \times 10^{-31} }{\sqrt{1-\frac{(0.85c)^{2} }{c^{2} } } }[/tex]

Or,[tex]m=\frac{9. 11 \times 10^{-31} }{\sqrt{1-(\frac{0.85c}{c})^2 } }[/tex]

Or,[tex]m=\frac{9. 11 \times 10^{-31} }{\sqrt{1-({0.85})^2 } }[/tex]

Or, [tex]m=1.72\times 10^{-30}[/tex] Kg.

From the above calculation we can conclude that, The mass of the electron is [tex]1.72\times 10^{-30}[/tex] Kg.

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It follows coulombs law.          

According to Coulomb’s law, the force of attraction or repulsion between two charged bodies is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. It acts along the line joining the two charges considered to be point charges.

In Short: F ∝ q1q2/d2

where,

ε is absolute permittivity,

K or εr is the relative permittivity or specific inductive capacity

ε0 is the permittivity of free space.

K or εr is also called a dielectric constant of the medium in which the two charges are placed.

One coulomb of charge is that charge which when placed at rest in vacuum at a distance of one metre from an equal and similar stationary charge repels it and is repelled by it with a force of 9 x 109 newton.

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The angle the velocity of the electron make with the magnetic field is     sin(∅) = 90° answer.

  The equation F = qv X B may be damaged down into two elements, the significance and the path. The importance is given by F = qv B sin(∅),

Magnetic field =  1. 25-tesla

                  F = qv B sin(∅)

               = sin(∅) = F/qv B

                 sin(∅) =  qv X B/qv B

                   sin(∅) = 90° answer.

The most importance of the magnetic pressure appearing at the electron whilst its velocity v is perpendicular to B i.e magnetic discipline. The route of the force acting on the electron is the course the palm of the left hand faces. The path of the magnetic area, the direction of the transferring rate, and the route of the pressure on the particle are all perpendicular to each other.

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Two vectors are added geometrically (by drawing them), they arranged in such a way that Tail of one touching the head of the other .

A vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity. Triangle law of vector addition is used to find the sum of two vectors when the head of the first vector is joined to the tail of the second vector.

Magnitude of the resultant sum vector R: R = √([tex]P^{2}[/tex] + 2PQ cos θ + [tex]Q^{2}[/tex])

According to the Parallelogram law of vector addition: If two vectors are considered to be the adjacent sides of a parallelogram, then the resultant of the two vectors is given by the vector that is diagonal passing through the point of contact of two vectors. drawn from the same point.

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The central pitch around which a scale and its associated harmonies is built is called Tonic.

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Segment

The space between two waves is known as a segment in an ECG. Beginning at the end of the P wave and ending at the beginning of the QRS complex is the PR segment. Beginning at the end of the QRS wave and ending at the beginning of the T wave is the ST segment.

An electrocardiogram (ECG) is a quick test that can be used to examine the electrical activity and rhythm of your heart. The electrical signals that your heart beats out each time it beats are picked up by sensors that are affixed to your skin.

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The voltage is reduced by a factor of 2.

What is resistance?

                                                     R = V I.

        where,

        R is the resistance of the resistor R in ohms (Ω)

        V is the voltage   drop in the resistor in volts.

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They are helium nuclei, which consist of two protons and two neutrons. The net spin on an alpha particle is zero. They result from large, perilous atoms via a process called alpha decay.

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A process in which a large nucleus splits into two or more parts is called ?

(A) nuclear fission

An alpha particle is made up of _____.

(C) two protons and two neutrons

Which statement best describes the type of radioactive decay shown in the model?

(D) The model shows alpha decay, which is a type of nuclear fission.

Is beta decay a form of nuclear fission?

Responses

(A) No, it is not because the mass number does not change.

Which statement correctly classifies gamma emission?

(D) Gamma emission is a type of radioactive decay, but it is not a fission reaction.

i just did the quick check, hope this helps.

Electric potential energy of that charge at origin  = 40 V

Electric potential, the amount of work needed to move a unit charge from a reference point to a specific point against an electric field.

The electric potential energy of any given charge or system of changes is termed as the total work done by an external agent in bringing the charge or the system of charges from infinity to the present configuration without undergoing any acceleration.

Electric potential energy is defined as the total potential energy a unit charge will possess if located at any point in the outer space.

Potential energy at a point = change in electric potential to bring it from infinity to that point

Potential energy = Potential at that point - Potential at infinity

conventionally , potential at infinity is taken as zero

Potential energy = Potential at that point

hence , Potential energy of that charge at origin = Electric Potential at the origin

Potential energy of that charge at origin  = 40 V

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If a violin string vibrates at 430 hz as its fundamental frequency,then the frequencies of the harmonics are 880, 1320, 1760

The frequency in physics is the number of waves passing a fixed location in a unit of time. It also indicates how many cycles or vibrations a body in periodic motion experiences in a given unit of time.

How frequently something occurs is what is meant by the word frequency. A person blinking their eyelids 47 times in a minute is an example of frequency. the quality or state of happening frequently.

Integer (whole-number) multiples of the fundamental frequency are used to define harmonics, which are voltages or currents that function at certain frequencies. This means that for a waveform with a fundamental frequency of 50 Hz, the second harmonic frequency would be 100 Hz (2 x 50 Hz), the third harmonic would be 150 Hz (3 x 50 Hz), etc.

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a) 4.8 m/s² his average acceleration during the first 2.5 s

b) 15 m distance he cover during the first 2.5 seconds.

c) 31 m/s his speed as he finished the race.

Average acceleration is calculated by using Newtons first law of motion

v = u + at

where

u is initial velocity

v is final velocity

a is constant acceleration

t is time

Given u = 0m/s , v = 12 m/s and t = 2.5 sec

Therefore average acceleration is given by

[tex]a=\frac{v}{t}[/tex]

[tex]a=\frac{12}{2.5}[/tex]

a = 4.8 m/sec²

b) Here we will use newtons second law of motion

[tex]s=ut+\frac{1}{2}at^{2}[/tex]

On substituting value we get

s = 15m

c) Here we will use newtons third law of motion

v² = u² + 2as

Here u = 0 , a = 4.8 m/s² and s = 100 m

Therefore

v² = 960

v = 31 m/s

Disclaimer: the question was given incomplete in the portal. Here is the complete question.

Question: Usain Bolt's 100m sprint Runner set the world record for the100 meter sprint during the 2009World Championships in Berlin with a time of 9.58 s, reaching a top speed of 12 m/s in about 2.5 s.

a. What was his average acceleration during the first 2.5 s?

b. What distance did he cover during the first 2.5 seconds, assuming his acceleration was constant?

c. If he were able to maintain this constant rate of acceleration, what would have been his speed as he finished the race?

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Energy is transferred.

Every time labour is performed, energy is transmitted, as shown by the definition of work in physics. Work is the result of the displacement's magnitude and the component of force acting in that direction.

What are 3 types of work done?

Work is the result of force and distance, or the force exerted over a specific distance. In other words, Work = Force x Distance.

Joules are used to measure work.

1. Positive Work: Positive work is when a force moves an object in that direction. The motion of a ball descending toward the earth while it is displaced in the direction of the force of gravity is an illustration of this type of labour.

2. Negative Work: The work is said to be negative if the force and the displacement are in the opposing directions. For instance, if a ball is thrown high, its displacement will also be upwards, while the force from the earth's gravity will be downward.

3. Zero Work: When the force and displacement directions are parallel to one another, there is no work done on the item by the force.

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Answer:Energy is transferred.

Explanation: Took the test and Passed

The current must change at a rate of [tex]10^{4}[/tex] A/sec to induce an emf of 1000 volts.

We have a inductor of inductance 100 millihenry.

We have to calculate at what rate the current in the inductor have to change to induce an emf of 1000 Volts.

According to the faraday's law of induced voltage, the voltage induced in the conductor present in the time changing magnetic field is directly proportional to the negative of the rate of change of magnetic flux passing through it per unit time. Mathematically -

ε = [tex]- N\frac{d\phi}{dt}[/tex]

Where -

ε is the induced voltage

N is the number of turns

[tex]\frac{d\phi}{dt}[/tex] represents the rate of change of magnetic flux

Now, in the question it is given that -

L = 100 mH = 0.1 H

ε = 1000 Volts

Now - the voltage across the inductor is given by :

[tex]V = L \frac{di}{dt}[/tex]

[tex]\frac{di}{dt} = \frac{V}{L} = \frac{1000}{0.1} = 10^{4}[/tex] A/sec

Hence, the current must change at a rate of [tex]10^{4}[/tex] A/sec to induce an emf of 1000 volts.

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The application of faraday's law to the existence (not the sign) of the induced voltage before you energize the primary coil

The magnitude of the emf generated in a circuit is proportional to the rate of change with time t of the magnetic flux that cuts across the circuit emf, according to this relationship, also known as Faraday's law of induction (to distinguish it from his laws of electrolysis).

According to Faraday's law of induction, when a magnetic field changes, a voltage results. This difference in electric potential can induce electric currents to flow.

The first faraday's law states that the amount of chemical change caused by a current at an electrode-electrolyte interface is proportional to the amount of electricity used, while the second law states that different substances can undergo different amounts of chemical change when the same amount of electricity is applied to them.

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