What is the critical angle for light propagating from a material with index of refraction of 1.50 to a material with index of refraction of 1.00?

For the given potential energy, the value of mass equals 0.4Kg.

The energy that was previously stored in the items before they were pushed out of balance by elastic rebound, gravity, or chemical reactions is released when the objects are displaced from their equilibrium locations.

Potential energy is the energy that an object accumulates because of its position, enabling it to perform more work. An extended rubber band, for instance, is full of potential energy. Similar to this, a ball will have more potential energy when released above the ground than when it falls.

Given,

The potential energy = 15J,

height of the object = 3.75m

Using the formula,

PE= mgh

Now substituting the values in the formula,

⇒ 15 = m × 10 × 3.75    [The value of acceleration due to gravity(g) = 10]

⇒ m = 15 / 10 × 3.75

⇒ m = 0.4Kg

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Explanation:

Variety in to an exercise program allows the body to adapt to many demands, from high intensity exercise to slow, steady state exercise. Variety is important in a fitness program because it allows for your body to be challenged on a consistent basis and to overcome a plateau.

Answer:

what are the statements?

Explanation:

Answer:

\(momentum = mass \times velocity \\ = 7.5 \times 1.6 \\ = 12 \: kg {ms}^{ - 1} \)

Mass is 7.5 kg

Velocity is 1.6 m/s

we know that,

momentum = mass × velocity

or; momentum =7. 5 kg × 1. 6 m/s

or; momentum = 12 kgms^1

Given data

*The given initial velocity is u = 0 m/s

*The given acceleration is a = 7 m/s^2

*The given final velocity is v = 25 m/s

The formula for the time taken to reach his final velocity is given by the kinematic equation of motion as

Substitute the known values in the above expression as

Thus, the time taken to reach his final velocity is t = 3.57 s

Answer:

\({ \tt{volume = \pi {r}^{2} h}}\)

The relative age of the crater Copernicus is 800 million years.

Crater is nothing but a large bowl-shaped cavity in the ground or on a celestial object, typically one caused by an explosion or the impact of a meteorite.

Copernicus is a lunar impact crater located in eastern Oceanus Procellarum. It was named after the astronomer Nicolaus Copernicus. It typifies craters that formed during the Copernican period in that it has a prominent ray system. It one of the most prominent craters on the Moon. It constitutes a classic example of a relatively young, well-preserved lunar impact crater.

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The factor in the Van Deemter equation that illustrates this phenomenon is the particle size (dp), which is associated with the C term (resistance to mass transfer). By reducing the particle size from 4 µm to 3 µm, the plate height (H) decreases, leading to improved peak resolution.

The Van Deemter equation is a mathematical formula that describes the relationship between the efficiency of chromatographic separation, the flow rate of the mobile phase, and the particle size of the stationary phase. The equation is as follows: H = A + B/u + C*u

Where H is the height equivalent to a theoretical plate, A is the eddy diffusion term, B is the longitudinal diffusion term, u is the linear velocity of the mobile phase, C is the mass transfer coefficient, and the last term represents the resistance to mass transfer between the stationary and mobile phases.

In the case of the column change from the old Nova-Pak C18 column to the new one, the peak resolution increased. This phenomenon is likely due to a decrease in particle size, from 4 µm to 3 µm, which would result in a decrease in the longitudinal diffusion term (B) in the Van Deemter equation. Longitudinal diffusion occurs when analyte molecules diffuse through the mobile phase in the direction of the flow, causing a broadening of the peaks and a decrease in resolution. A smaller particle size means a shorter diffusion path for the analyte molecules, resulting in less longitudinal diffusion and better peak resolution.

Therefore, the decrease in particle size in the new column likely led to a decrease in the longitudinal diffusion term (B) in the Van Deemter equation, resulting in increased peak resolution.

When the column was changed to a new Nova-Pak C18 Column (new Column: 60Å, 3 µm, 3.9 mm X 150 mm) from the old column (Nova-Pak C18, 60Å, 4 µm, 3.9 mm X 150 mm), the peak resolution increased. This can be explained by the Van Deemter equation, specifically the particle size term (dp) in the equation.
The Van Deemter equation is given by:
H = A + (B/u) + C*u
where H is the plate height, A represents the Eddy diffusion term, B is the longitudinal diffusion term, C represents the resistance to mass transfer term, and u is the linear velocity.

The change from 4 µm to 3 µm particle size in the new column decreases the plate height (H), which in turn improves the peak resolution. The particle size (dp) is related to the C term in the Van Deemter equation, so as dp decreases, the C*u term also decreases, leading to a smaller H value and better resolution.

In summary, the factor in the Van Deemter equation that illustrates this phenomenon is the particle size (dp), which is associated with the C term (resistance to mass transfer). By reducing the particle size from 4 µm to 3 µm, the plate height (H) decreases, leading to improved peak resolution.

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Answer:

(a) electrical energy or chemical energy

(b) sound energy, potential energy, light energy.

(c) Work (J) = Force (N) * Distance (m)

                   = 80 * 15

                   = 1200 Joules.

Answer:

F = M a    is a vector equation

F has the same sign as A and is in the same direction as the vector a

If a is positive then F must also be positive

If an object has an increasing positive acceleration, then  we can assume that there is some unbalanced increasing force acting on it as the force is the product of the mass of the object and the acceleration.

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

The acceleration of an item rises proportionately to the force applied to it. So, doubling the force also doubles the acceleration.

Since the force is equal to the product of the item's mass and acceleration, if an object is moving at an increasing positive acceleration, we may infer that there is an imbalanced growing force acting on it.

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Answer:

less than 10 inches, or 25 centimeters, of precipitation a year.

Explanation:

PS. the precipitation recieved in the desert can be in the form of either rain or snow.

Hi there!

We can use the equation for the charge of a charging capacitor:
\(q(t) = C\epsilon( 1 - e^{-\frac{t}{RC}})\)

Using Capacitor equations:
\(C = \frac{Q}{V}}\\\\Q = CV\)

Therefore, Cε equals the steady-state charge of the capacitor (the function approaches this value as t ⇒ ∞.

We can plug in the givens and solve.
\(\epsilon = 5 V\\\\C = 100\mu F = 0.0001 F\)

\(Q = C \epsilon = (0.0001)(5) = \boxed{0.0005 C}\)

The charge on the capacitor when the circuit has reached a steady-state is 0.0005C.

The capacitance of a conductor is defined as the ratio of the quantity of electric charge stored on it to the difference in electric potential.

Given that the resistance of the resistor is 20 kω, while the capacitance of the capacitor is 100 μf, and the voltage of the battery is 5V.

Now, the charge on the capacitor when the circuit has reached a steady-state can be written as,

\(Q=CV\\\\Q = 100\mu F \times 5V\\\\Q = \dfrac{100}{1,000,000}F \times 5V\\\\Q = 0.0005C\)

Hence, the charge on the capacitor when the circuit has reached a steady state is 0.0005C.

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The surface charge density on the disks is, \(4.3910^{-5} C/m^2\). The surface charge density on the glass is, σ = \(-4.39\times 10^{-5} C/m^2\).

We can solve this problem using the capacitance equation for a parallel plate capacitor with a dielectric material between the plates:

C = εA/d

where C is the capacitance, ε is the permittivity of the dielectric material, A is the area of the plates, and d is the distance between the plates.

The potential difference V between the plates is related to the charge Q on the plates and the capacitance C by:

V = Q/C

The capacitance of the parallel plate capacitor is:

C = εA/d = \((4.78.85\times 10^{-12} \text{ F/m})\times \dfrac{\pi (0.025 m)^2}{0.00061 m}\)

\(= 4.22 \times 10^{-11} F\)

The charge on each plate is:

Q = CV

\(= (4.22\times 10^{-11} F)(1300 V)\\\\ = 5.48\times10^{-8} C\)

The surface charge density on each disk is:

\(\sigma = Q/A\\\\ = 2\dfrac{Q}{\pi r^2}\\\\ = \dfrac{2(5.4810^{-8} C)}{\pi (0.025 m)^2}\\\\ = 4.3910^{-5} C/m^2\)

The surface charge density on the Pyrex glass is equal and opposite to the surface charge density on the disks. This is because the total charge on the system must be conserved. Therefore, the surface charge density on the Pyrex glass is:

σ = \(-4.39\times 10^{-5} C/m^2\)

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Answer:

Explanation:

Average speed is found by adding together the total distances traveled by the athlete and divide that total by the total time it took.

Average velocity is vector, which means it includes direction. If the athlete heads one way and then turns around, his displacement might actually be negative! Yikes! Let's look at speed first:

\(s=\frac{600+1000}{2+1}=\frac{1600}{3}=533\frac{1}{3}\frac{m}{min}\)

Velocity is the displacements added together divided by the total amount of time it took. The displacement is the same as the distance here, since the athlete did not veer off his straight-path and didn't turn around.

Average velocity = average speed = 533.3 m/min

Answer:

The law of conservation of energy states that energy can neither be created nor destroyed - only converted from one form of energy to another. This means that a system always has the same amount of energy, unless it's added from the outside

The current world record for the hundred yard dash is 9.0 seconds, set by Ivory Crockett on June 14, 1974.

The hundred yard dash is a sprint race in track and field. It is no longer an official event, as it has been replaced by the 100-meter dash. However, the world record for the hundred yard dash is still recognized.

The current world record for the hundred yard dash is held by Ivory Crockett, who set the record on June 14, 1974. Crockett completed the race in 9.0 seconds.

It is important to note that the hundred yard dash is not as commonly run or recognized as the 100-meter dash, which is the standard sprint race in track and field today.

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The world record for the hundred yard dash is 9.0 seconds.

The hundred yard dash is a sprint race covering a distance of 100 yards, which is equivalent to approximately 91.44 meters. The record of 9.0 seconds was set by Bob Hayes of the United States on June 20, 1963, in Sacramento, California.

Bob Hayes' time of 9.0 seconds in the hundred yard dash stands as the current world record. It is important to note that this record was set prior to the adoption of the metric system for track and field events. Since then, the hundred yard dash has been largely replaced by the 100-meter dash as the standard sprint event. Therefore, current records and official competitions primarily focus on the 100-meter dash rather than the hundred yard dash.

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When doing somersaults, you'll more easily rotate when your body is (c) curled into a ball shape. This is because of the conservation of angular momentum. Angular momentum depends on two factors: the moment of inertia and the angular velocity.

By curling your body into a ball shape, you decrease the moment of inertia, which is a measure of how spread out the mass is in an object. When the moment of inertia is reduced, the angular momentum remains constant.

By decreasing the moment of inertia, you effectively concentrate the mass closer to the axis of rotation, making it easier to rotate. In contrast, when your body is straight with both arms above your head or at your sides, the moment of inertia is larger, requiring more effort to initiate and maintain the rotation. Curling into a ball shape reduces the moment of inertia, facilitating faster and easier rotation during somersaults.

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Therefore for cart to stay here on track when it arrives at point P, the net force applied to it must be greater or equal than for the heaviness of the cart.

The force is an impact that has the power to alter an object's motion. A mass-containing object's velocity can be altered by a force. An obvious way to describe force is as a pushed or a pull. A vector quantity is called a force since it has both strength and the direction.

The strongest force in existence is thought to be the strong force. The gravitation, weak, and electromagnetism forces come after it in lowest to highest.

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The radioactive half-life is given by:

Where:

Answer:

Req= 220 ohm

Explanation:

In series combination just add the resistances.

Req=R1+Req(23)

Req=100+120

Req= 220 ohm

The overall resistance of the combination is 1.53 Ω.

When resistors are connected in parallel, the total resistance is calculated using the formula:1/R_total = 1/R1 + 1/R2 + 1/R3 + ...In this case, the three resistors have values of 3.00 Ω, 7.00 Ω, and 15.0 Ω. Plugging these values into the formula, we get:
1/R_total = 1/3.00 + 1/7.00 + 1/15.0.Calculating the sum on the right-hand side gives us:1/R_total = 0.3333 + 0.1429 + 0.0667 = 0.5429. To find the overall resistance, we take the reciprocal of the sum:R_total = 1/0.5429 = 1.53 Ω.
Therefore, the overall resistance of the combination is 1.53 Ω.

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Answer:

90x20=1800

Explanation:

just multiply 10 & 9 and then mutiply 90x20 or 20x90

The final temperature of the mixture is closest to 32.5 °C

Heat loss = Heat gain

MᵥᵥC(Tᵥᵥ – Tₑ) = M꜀C(Tₑ – M꜀)

50 × 4.184 (40 – Tₑ) = 30 × 4.184(Tₑ – 20)

209.2(40 – Tₑ) = 125.52(Tₑ – 20)

Clear bracket

8368 – 209.2Tₑ = 125.52Tₑ – 2510.4

Collect like terms

8368 + 2510.4 = 125.52Tₑ + 209.2Tₑ

10878.4 = 334.72Tₑ

Divide both side by 334.72

Tₑ = 10878.4 / 334.72

Tₑ = 32.5 °C

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Answer:

Our planet's rotation produces a force on all bodies moving relative to theEarth. Due to Earth's approximately spherical shape, this force is greatest at the poles and least at the Equator. The force, called the "Coriolis effect," causes the direction of winds and ocean currents to be deflected.

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We know the Sun is primarily made from hydrogen and helium on the basis of its spectrum. The option d is correct answer.

The spectrum of the sun is obtained by observing the light it emits. When sunlight passes through a prism or spectrometer, it is separated into a continuous spectrum by black absorption lines. These lines correspond to specific wavelengths of light absorbed by the elements in the solar wind.

By comparing these absorption lines with well-known ones of different elements, the researchers found that the main absorption lines in the solar spectrum are similar to those produced by hydrogen and helium. This indicates that these two elements are the main components of the solar wind.

Other evidence, such as the Sun's mass, brightness, age, and color, cannot provide direct information about its composition. While these conditions are important for understanding the properties and behavior of the sun, they do not specifically indicate the abundance of hydrogen and helium in its composition.

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The acceleration is given as:

where vf is the final velocity, v0 is the initial velocity and t is the time. In this case we have that the final velocity is 10 m/s, the initial one is zero m/s and the time it takes is 60 seconds, plugging this values we have:

Therefore the acceleration is:

Inside the nucleus, there are nucleoplasm, nucleolus and chromatin network

Answer:

Sound waves bend around the corners of various obstacles.

Explanation:

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