6. A merry-go-round rotates from rest with constant angular acceleration 'a'. Ratio of time to rotate first 2 revolutions and next 2 revolutions is (1) 1:1 12(V2 + 1):1 (3) 2:1 (4) 1:2

The maximum wavelength of light capable of dissociating the f–f bond in one molecule of fluorine if the bond energy, or bond dissociation energy, is 157 kJ/mol is 7.625 × 10⁻⁵ meters.

Given:  

Bond dissociation energy = 157 kJ/mol.

we know,

Avogadro's number = 6.023 × 10²³ mole⁻¹

Speed of light = 3 × 10⁸ms⁻¹

Planck constant = 6.626 × 10⁻³⁴ Js

To calculate the maximum wavelength of light capable of dissociating the f–f bond in one molecule of fluorine,

The energy required to break one f--f bond is calculated as,

⇒ Bond energy / Avogadro's number

= 157 × 10³/ 6.023 × 10²³

= 26.067 × 10⁻²⁰ Joules

Let the wavelength of the light required to break one f -f bond be λ.

We find the maximum wavelength by using Einstein's equation for photon energy.

Einstein's equation for photon energy is represented mathematically by the following formula:

E = hf = hc / λ

In this equation,

Substituting the values in the formula,

⇒ 26.067 × 10⁻²⁰ = ( 6.626 × 10⁻³⁴ × 3 × 10⁸) / λ

⇒  λ = ( 6.626 × 10⁻³⁴ × 3 × 10⁸) / 26.067 × 10⁻²⁰

       =  7.625 × 10⁻⁵ m

Hence, the maximum wavelength is 7.625 × 10⁻⁵ m.

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Answer:

B.

Explanation:

The amount of momentum that an object has is dependent upon two variables: how much stuff is moving and how fast the stuff is moving. Momentum depends upon the variables mass and velocity. In terms of an equation, the momentum of an object is equal to the mass of the object times the velocity of the object.

The change in momentum is the mass and the change in velocity. Option E is correct.

To determine the change in an object's momentum, you need to know the object's mass and the change in its velocity. The momentum of an object is termed as the product of its mass as well as velocity. Mathematically, momentum (p) is expressed as:

p = m × v

Where:

p is the momentum,

m is mass of the object, and

v is the velocity of the object.

The change in an object's momentum (∆p) is given by the difference between its initial momentum (p₁) and its final momentum (p₂):

∆p = p₂ - p₁

Since momentum is dependent on both mass and velocity.

Hence, E. is the correct option.

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--The given question is incorrect, the correct question is

"Which quantities do you need to know in order to determine the change in an object's momentum? A. Change in time and force B. Velocity and change in time C. Acceleration and change in direction  D. Change in speed and force E)  Mass and change in velocity."--

Answer:

3.75 kg

Explanation:

m=2xKE / v²

Answer:

True.

This is because, from the information provided so far, it could be concluded that, the policy makers don't have any single idea of what they are doing regarding to the economy.

This could be seen in the series of poor performance of the economic indicators as shown which has lead to poor economic growth in our country.

Explanation:

The voltage across the second lamp in the circuit is 8 V.

In a series circuit, the current remains the same throughout. Therefore, if the current through one lamp is 1 A, the current through the other lamp is also 1 A.

Given that the voltage across the circuit is 9 V and the voltage across the first lamp is 1 V, we can use the concept of voltage division. Since the lamps are in series, the voltage across the second lamp can be calculated as follows:

Total voltage = Voltage across the first lamp + Voltage across the second lamp

9 V = 1 V + Voltage across the second lamp

Voltage across the second lamp = 9 V - 1 V

Voltage across the second lamp = 8 V

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The complete question is:

In a circuit of two lamps in series, if the current through one lamp is 1 A, The current through the other lamp is also 1 A. If a voltage of 9 V is impressed across the circuit and the voltage across the first lamp is 1 V, what is the voltage across the second lamp?

The mass of the object would be 58.4 kg.

The problem can be solved using Newton's second law of motion, which states that the net force (F_net) acting on an object is equal to the mass (m) of the object multiplied by its acceleration (a):

F_net = m*a

We are given that the net force acting on the object is 328 N, and we know the object's acceleration from the change in velocity over time:

a = (final velocity - initial velocity) / time

a = (18 m/s - 0 m/s) / 3.2 s

a = 5.625 m/s^2

Substituting these values into the equation for Newton's second law, we get:

328 N = m * 5.625 m/s^2

Solving for m, we get:

m = 328 N / 5.625 m/s^2

m ≈ 58.4 kg

Therefore, the mass of the object is approximately 58.4 kg.

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a. The work function of potassium is 3.45 x \(10^{-19}\) J.

b. The cutoff wavelength of potassium is 573 nm.

c. The threshold frequency for potassium is 5.21 x \(10^{14}\) Hz.

a) To find the work function of potassium, we can use the equation:

the kinetic energy of the emitted electron = energy of the photon-work function

The energy of a photon can be calculated using the equation:

energy of a photon = Planck's constant x speed of light / wavelength

where Planck's constant = 6.626 x \(10^{-34}\) Joule seconds, and the speed of light = 3.00 x 10^8 m/s.

Substituting the given values, we get:

energy of a photon = (6.626 x \(10^{-34}\) J s) x (3.00 x \(10^8\) m/s) / (350 x \(10^{-9}\) m)

= 5.67 x \(10^{-19}\) J

Now, we can use the first equation to find the work function:

work function = energy of the photon - kinetic energy of the emitted electron

work function = (5.67 x \(10^{-19}\) J) - (1.31 eV x 1.60 x \(10^{-19}\) J/eV)

= 3.45 x \(10^{-19}\) J

Therefore, the work function of potassium is 3.45 x \(10^{-19}\) J.

b) The cutoff wavelength is the longest wavelength of light that can eject an electron from the metal surface. This occurs when the energy of the photon is just enough to overcome the work function of the metal.

Using the equation for the energy of a photon, we can rearrange it to find the cutoff wavelength:

energy of a photon = Planck's constant x speed of light / wavelength

wavelength = Planck's constant x speed of light/energy of a photon

Substituting the work function as the energy of the photon, we get:

cutoff wavelength = Planck's constant x speed of light / work function

cutoff wavelength = (6.626 x \(10^{-34}\) J s) x (3.00 x \(10^8\) m/s) / (3.45 x \(10^{-19}\) J)

= 573 nm

Therefore, the cutoff wavelength of potassium is 573 nm.

c) The threshold frequency is the minimum frequency of light that can eject an electron from the metal surface. This can be calculated using the equation:

threshold frequency = work function / Planck's constant

Substituting the given values, we get:

threshold frequency = 3.45 x \(10^{-19}\) J / 6.626 x 10^-34 J s

= 5.21 x \(10^{14}\) Hz

Therefore, the threshold frequency for potassium is 5.21 x \(10^{14}\) Hz.

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Answer:

A. Looking at stick shadows on the equinox.

Explanation:

He measures the circumference by placing a pole when the sun is overhead on the days of solstice. He determined the circumference by measuring the difference between  Alexandria to Syene and the angle of the pole's shadow.

The equation used for the calculation of circumference is as follow

\(\frac{360 degrew}{7.2 degree} = \frac{Circumference of earth}{Distance from Alexandria to Syene}\)

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The bottleneck event of the plants in an area results in secondary succession.

A bottleneck is an event that drastically reduces the population size of an organism. The bottleneck may be caused by various events, such as an environmental disaster, the hunting or habitat destruction that results in the deaths of organisms.

Secondary succession is a type of ecological succession in which plants and animals recolonize a habitat after a major disturbance such as a devastating flood, wildfire, landslide, lava flow, or human activity e.g., farming or road or building construction.

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Answer:

Explanation:

When resistors are connected in parallel combination, then equivalent resistance is given by,

\( \to \quad \bf{ \dfrac{1}{R_1} + \dfrac{1}{R_2} =\dfrac{1}{R_p}}\)

Inserting values,

\( \to \quad \bf { \dfrac{1}{R_1} + \dfrac{1}{R_2} =\dfrac{1}{R_p} } \\ \\ \to \quad \bf { \dfrac{1}{R_1} + \dfrac{1}{221} =\dfrac{1}{120.7} } \\ \\ \to \quad \bf { \dfrac{221+R_1}{(R_1)(221)} =\dfrac{1}{120.7} } \\ \\ \to \quad \bf { \dfrac{221+R_1}{221R_1} =\dfrac{1}{120.7} } \\ \\ \to \quad \bf { 120.7(221+R_1) = 221R_1(1)} \\ \\ \to \quad \bf { 26674.7 + 120.7R_1= 221R_1} \\ \\ \to \quad \bf { 26674.7= 221R_1- 120.7R_1} \\ \\ \to \quad \bf { 26674.7 = 100.3R_1} \\ \\ \to \quad \bf { \dfrac{26674.7 }{100.3} =R_1} \\ \\ \to \quad\underline{\boxed{ \bf { 265.9 \; \Omega=R_1}}} \\ \)

Telomeres play a crucial role in the aging process by protecting the integrity of the chromosomes and regulating cellular lifespan.

Telomeres are repetitive DNA sequences at the ends of chromosomes that act as protective caps. With each cell division, telomeres gradually shorten, and when they reach a critically short length, cells enter a state of replicative senescence or undergo programmed cell death (apoptosis).

The progressive shortening of telomeres over time is associated with aging and age-related diseases. This is because shortened telomeres can lead to genomic instability, cellular dysfunction, and impaired tissue renewal. Cells with critically short telomeres may experience DNA damage, chromosomal abnormalities, and increased susceptibility to mutations.

Telomeres also play a role in regulating cell proliferation and tumor suppression. In some cases, cells can bypass the limitations imposed by telomere shortening through telomerase, an enzyme that can restore telomere length. However, excessive activation of telomerase is associated with cancer development.

Overall, telomeres contribute to the aging process by serving as a cellular clock and influencing cellular and tissue functions. Understanding telomere biology is important in unraveling the mechanisms of aging and exploring potential interventions for age-related diseases.

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The mass of the block is approximately 0.23 kg of it oscillates with a frequency of 1.1hz.

We can use the equations for simple harmonic motion to solve this problem. The period of oscillation (T) is the inverse of the frequency (f):

T = 1/f = 1/1.1 Hz = 0.9091 s

The spring constant (k) can be calculated from the force (F) and displacement (x):

F = kx

k = F/x = 1.0 N / 0.11 m = 9.09 N/m

The angular frequency (ω) of the oscillation is:

ω = 2π/T = 6.91 rad/s

The mass (m) of the block can be found from the angular frequency and the spring constant:

ω =

\( \sqrt{ (k/m)}\)

m = 9.09 N/m / (6.91 rad/s) ≈ 0.23 kg

The problem involves a block attached to a horizontal spring, which is pulled back from its equilibrium position by a force of 1.0 N, causing it to oscillate with a frequency of 1.1 Hz. To find the mass of the block, we use the equations for simple harmonic motion, which relate the period (T), angular frequency (ω), mass (m), spring constant (k), force (F), and displacement (x).

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The thermal capacitance of the coil is neglected with respect to the tank wall and the tank liquid. Energy balance is done only on the tank liquid. Option C is the correct answer.

The consequence of neglecting the thermal dynamics of the cooling coil in a stirred tank can vary depending on the specific situation and the magnitude of the neglected effects. However, in general, neglecting the thermal capacitance of the cooling coil in relation to the tank wall and the tank liquid can have the following consequences:

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Based on the Latent heat of vaporization of iron, the choice that calculates the amount of energy needed to change the state of iron during intervals D-E is 6272.0 KJ.

The amount of heat needed to transform a unit mass of a substance from a liquid to a gas at that solid's boiling point is known as the latent heat of vaporization.

The following is the formula to determine a substance's latent heat of vaporization:

L = q/m, the latent heat of vaporization where;

Δq is the heat change \sm is the mass of the liquid

The interval D to E is vaporization

Heat required = 349.6 kJ/mol * 112 g / 56g/mol

Heat required = 699.2 kJ

Therefore, Based on the Latent heat of vaporization of iron, the choice that calculates the amount of energy needed to change the state of iron during intervals D-E is 6272.0 KJ.

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Answer:

b decreases as a increases and c stays constant

It all depends on the definitions of a, b, and c, and the relationship among them. Your question doesn't give us any of this information.

The 3.00 kg particle needs to be placed at coordinates

(-0.330 m, -0.950 m) to achieve the desired center of mass.

The coordinates for placing the 3.00 kg particle to achieve the desired center of mass are (-0.330 m, -0.950 m).The center of mass of a system of particles is determined by the distribution of mass and their respective positions. The center of mass coordinates can be calculated using the formula:

\(x_c_m\) = (\(m\)₁\(x\)₁ + \(m\)₂\(x\)₂ + \(m\)₃\(x\)₃) / (\(m\)₁ + \(m\)₂ +\(m\)₃)

\(y_c_m\) = (\(m\)₁\(y\)₁ + \(m\)₂\(y\)₂ + \(m\)₃\(y\)₃) /(\(m\)₁ + \(m\)₂ +\(m\)₃)

By substituting the given values and solving the equations, the required coordinates for the 3.00 kg particle can be determined. Placing the particle at (-0.330 m, -0.950 m) will ensure that the center of mass of the three-particle system matches the specified coordinates.

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For a planet or moon to have planet-wide convection cycles, it must have a molten or partially molten interior, a strong global magnetic field, and a thick mantle that can support convection over long periods of time.

For a planet or moon to have planet-wide convection cycles, several conditions need to be met. The first requirement is that the planet or moon must have a molten or partially molten interior, which allows for the movement of material within the mantle. This movement is driven by heat transfer from the planet's core, which creates thermal gradients that cause material to rise and fall in a convection cycle.
Another requirement is the presence of a strong, global magnetic field. This magnetic field is generated by the movement of molten material in the planet's core and helps to protect the planet from harmful solar radiation. It also plays a crucial role in driving convection cycles, as the magnetic field interacts with the convecting material in the mantle.
Finally, the planet or moon must have a relatively thick mantle that is capable of supporting convection over long periods of time. This requires a sufficient amount of heat to be generated within the core and a slow cooling rate, which allows the mantle to remain molten for billions of years.
In summary, for a planet or moon to have planet-wide convection cycles, it must have a molten or partially molten interior, a strong global magnetic field, and a thick mantle that can support convection over long periods of time.

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This phrase describes the several circumstances and biases that may affect survey results.

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Answer:

its light traveled through space for 1 billion years to reach us

Explanation:

Answer:

Option D. 9.47 V

Explanation:

We'll begin by calculating the equivalent resistance of the circuit. This can be obtained as follow:

Resistor 1 (R₁) = 20 Ω

Resistor 2 (R₂) = 30 Ω

Resistor 3 (R₃) = 45 Ω

Equivalent Resistance (R) =?

R = R₁ + R₂ + R₃ (series connections)

R = 20 + 30 + 45

R = 95 Ω

Next, we shall determine the current in the circuit. This can be obtained as follow:

Voltage (V) = 45 V

Equivalent Resistance (R) = 95 Ω

Current (I) =?

V = IR

45 = I × 95

Divide both side by 95

I = 45 / 95

I = 0.4737 A

Finally, we shall determine, the voltage across R₁. This can be obtained as follow:

NOTE: Since the resistors are in series connection, the same current will pass through them.

Current (I) = 0.4737 A

Resistor 1 (R₁) = 20 Ω

Voltage 1 (V₁) =?

V₁ = IR₁

V₁ = 0.4737 × 20

V₁ = 9.47 V

Therefore, the voltage across R₁ is 9.47 V.

Answer:

9.47

Explanation:

Just Took the Test

Answer:

Im not smart

Explanation:

but im your bff

Answer:

it explain how everythings work you should work with the speed of light multiply with the distance of the equator

A uniform magnetic field of magnitude B exists when the magnetic field strength and direction are the same at all points within the region of interest.

Given: Uniform magnetic field of magnitude 1.7 T Dimension of the loop = 15 cm × 16 cm = 0.15 m × 0.16 m = 0.024 m²

Formula used: Φ = BA, where Φ is the magnetic flux, B is the magnitude of magnetic field and A is the area of the loop perpendicular to the magnetic field, here B is perpendicular to the loop.

Φ = BA

where,B = 1.7 T (Given)

A = 0.024 m² (Given)

Φ = 1.7 × 0.024Φ = 0.0408 Wb

Hence, the magnetic flux through the loop is 0.0408 Wb.

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The average force applied by the club on the ball is 0.6 N.

Average force is the force applied by a body that's travelling at a definite velocity (rate of speed) for a definite period of time .

To calculate the average force applied by the club, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

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ANSWER:

3) 1234 m

STEP-BY-STEP EXPLANATION:

Precision refers to how close two measurements are to one another. The highest number with a significant digit is the most precise, the number that has the most significant figures. Therefore, the less accurate is the opposite.

Which means that in this case, the least precise number is 1234 m.

Answer:

Total time of moving at constant velocity = 50 seconds ( at C, E and G)

Ice crystals that form by accretion are fairly large, they fall slowly because of there high surface area to volume ratio, which cause high air resistance.

Ice crystals that form by accretion are large and have a high surface area to volume ratio. This high surface area causes more air resistance, which slows their fall. The larger the surface area, the more air resistance there is, and the slower the crystals fall. Additionally, the shape of the crystals can also affect their fall speed, with more irregular shapes experiencing more air resistance and thus falling slower. Ice crystals are the building blocks of snowflakes and have a well-defined and ordered internal structure. The structure of an ice crystal depends on the conditions under which it forms, such as temperature and humidity. At very cold temperatures, the crystals are usually simple hexagonal structures, while more complex branching structures can form at warmer temperatures.

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The initial moments after the Big Bang and the current universe have a few things in common like Expansion; Radiation; Structure formation; etc.

Expansion: The universe has been expanding since the Big Bang, and this expansion is still happening. The initial moments after the Big Bang were characterized by a period of rapid inflation, and this expansion has continued to shape the structure of the universe we see today.

Radiation: The universe was filled with intense radiation in the initial moments after the Big Bang, and this radiation still exists in the form of the cosmic microwave background (CMB) radiation.

This radiation is thought to have been produced about 380,000 years after the Big Bang and has been traveling through space ever since, providing us with valuable information about the early universe.

Formation of structure: The initial moments after the Big Bang set the stage for the formation of the large-scale structure of the universe we observe today, such as galaxies, stars, and planets. The tiny fluctuations in the density of matter in the early universe were amplified by gravitational attraction over time, leading to the formation of these structures.

However, there are also many differences between the early universe and the universe as it exists now. For example, the universe was much hotter and denser in the early moments after the Big Bang, and there were no stars or galaxies yet.

The universe has also undergone many complex physical processes over billions of years, such as the formation of black holes and the evolution of stars, that were not present in the early universe.

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Answer:

37.33m

Explanation:

To calculate the distance using d= 1/2 at², the time taken for this projectile object (ball) must be calculated.

Time of a projectile = 2u sinθ/ g

Where u = velocity = 27m/s

g = 9.8m/s²

θ = 30°

T = 2usinθ/ g

T = 2 × 27 × sin 30°/9.8

T = 54sin30°/9.8

T = 27/9.8

T = 2.755

T = 2.76s

If the time taken for the ball to move is 2.76s, the distance travelled is:

D = 1/2at²

D = 1/2 × 9.8 × 2.76²

D = 1/2 × 9.8 × 7.6176

D = 74.65248/2

D = 37.33m

The horizontal distance the ball travels is 37.33m

The horizontal distance travel by ball is 37.32 meters.

First we have to calculate time of projectile,

               \(Time=\frac{2usin\theta}{g}\)

Where g is acceleration due to gravity and u is velocity.

Given that, \(u=27m/s, \theta=30\)

Substitute values in above relation.

       \(Time=\frac{2*27*sin30}{9.8}=\frac{2*27*0.5}{9.8}=2.76s\)

The horizontal distance is given by,

              \(d=\frac{1}{2}gt^{2}\\ \\ d=\frac{1}{2}*9.8*(2.76)^{2} \\\\d=37.32m\)    

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Explanation:

F = 40 N

d = 3 m

Work

W = Fd

where: W - work, J

F - force, N

d - distance, m

W = Fd

W = (40 N)(3 m)

W = 120 Nm or 120 J