What is the formula for Charles Law?

Answer:

10 m/s

Explanation:

u of cue ball = 10 m/s

u of eight ball=0m/s

m of cue ball =0.16 kg

m of eight ball =0.16 kg

According to law of conservation of momentum

Momentum before collision = Momentum after collision

so

( m of cue ball X velocity of cue ball) + ( m of eight ball X velocity of eight ball)= (m of cue ball X velocity of cue ball after collision )+( m of eight ball X velocity of eight ball after collision)

thus

(0.16 X 10)+(.016 X 0)= (0.16 X 0)+ ( 0.16 X velocity of eight ball after collision)

1.6= 0.16 X velocity of eight ball after collision

1.6÷0.16= velocity of ball after collision

10= velocity of eight ball after collision

Answer:

normal force

tension force

and other example of force

The energy per photon associated with a frequency of 1260 kHz is 2.10×10^-25 J.

To calculate the energy per photon, we can use the equation: E = hf, where E represents the energy, h is the Planck's constant (6.62607015 × 10^-34 J·s), and f is the frequency of the photon. Given that the frequency is 1260 kHz, we need to convert it to hertz (Hz) by multiplying it by 10^3:

Frequency = 1260 kHz × 10^3 = 1.26 × 10^6 Hz

Now, we can substitute the values into the equation:

E = (6.62607015 × 10^-34 J·s) × (1.26 × 10^6 Hz)

E = 8.33929859 × 10^-28 J

The answer is given in scientific notation as 8.34 × 10^-28 J. However, the question specifically asks for the answer in the format of 0.00×10^0. To achieve this, we can multiply the result by 10^3 and adjust the exponent accordingly:

E = (8.33929859 × 10^-28 J) × (10^3)

E = 8.33929859 × 10^-25 J

Thus, the energy per photon associated with a frequency of 1260 kHz is 2.10×10^-25 J.

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Let's analyze the motion of the two masses in this system.

At time t = 0, m1 is projected vertically upward with an initial velocity v0. As m1 moves upward, the spring connected to m2 starts to stretch. Both masses experience the force of gravity pulling them downward, and m1 also experiences the restoring force from the stretched spring.

As time progresses, m1 reaches its highest point and starts to descend. At this point, the spring is fully stretched and its potential energy is at its maximum. As m1 descends, the spring force and gravity act in the same direction, causing m1 to accelerate downward.

Meanwhile, m2 on the table remains at rest due to the absence of any external forces acting on it. It doesn't move throughout the motion.

The positions of the two masses at any subsequent time t can be described as follows:

- m1: It oscillates vertically, going up and down periodically, following a simple harmonic motion.

- m2: It remains stationary on the table.

The exact positions of the masses at a given time t would require solving the equations of motion considering the forces involved, initial conditions, and the characteristics of the spring.

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Answer:

Reigon 1

Explanation:

It has the higest rate of landslides currently

Answer:

1.00 m is a more accurate measured length.

Explanation:

Denote length of the table by L.

For L=1.0 m, there is one significant digit after the decimal.

Care 1: When one more significant digit after decimal considered, the exact number can be from 0.95 to 1.05.

So, the possible span of error \(\Delta E_1= 1.05-0.95= 0.1m\)

For L=1.00 m, there is two significant digits after the decimal.

Case 2: When one more significant digit after decimal considered, the exact number can be from 0.095 to 1.005.

So, the possible span of error \(\Delta E_2= 1.005-0.095= 0.01m\)

Case 3: For L=1.000 m, there is three significant digits after the decimal.

When one more significant digit after decimal considered, the exact number can be from 0.0095 to 1.0005.

So, the possible span of error \(\Delta E_3= 1.0005-0.0095= 0.001m\)

As \(\Delta E_1 >\Delta E_2>\Delta E_3\)

So, the least error is in the third case when L=1.00m, hence, L= 1.00m is more accurate.

Answer:

20 N in West direction.

Explanation:

opposite forces cancel each other. so 20 N in north and 20N in south cancel each other. In west and east direction...

70N in west-50N in east= 20N in west

Answer:

a

 \(v_f = 0.916 v_{ex}\)

b

 \(v_f = 1.05 v_{ex}\)

Explanation:

Considering question a

From the question we are told that

   The mass of the rocket is  \(m_o\)  

    The mass of the fuel which is in the rocket is  m = 0.6 M  

Generally given that the rocket burns all it fuel in a single stage , the final velocity of the rocket is mathematically represented as

          \(v_f = v_{ex} ln [\frac{m_o}{m_k} ]\)

Here \(m_k\) is the mass  of the rocket without fuel which is mathematically evaluated as

        \(m_k = m_o- m\)

=>      \(m_k = m_o -0.6m_o\)

=>    \(m_k = [1- 0.6] m_o\)

=>      \(v_f = v_{ex} ln [\frac{m_o}{[1 - 0.6]m_o} ]\)    

=>      \(v_f = 0.916 v_{ex}\)

Considering question b

From the question we are told that

   The mass of the fuel it burn at the first stage is  \(m = 0.3 m_o\)

     The mass of the first stage fuel tank \(m_1 = 0.1 m_o\)

    The mass of the fuel at the second stage is  \(m_f = 0.3m_o\)

Generally the  velocity of the rocket at the first stage  is mathematically represented as

           \(v_i = v_{ex} * ln [ \frac{m_o }{[1- m]m_o } ]\)

=>         \(v_i = v_{ex} * ln [ \frac{m_o }{[1- 0.3]m_o } ]\)

=>         \(v_i = v_{ex} * ln [ \frac{1 }{0.7 } ]\)  

=>         \(v_i =0.357 v_{ex}\)

Generally the mass of the rocket after first stage is  

    \(m_r = m_o - 0.3m_o -0.1m_o\)

=>   \(m_r = 0.6m_o\)

Generally the final  velocity of the rocket at the second stage is  

     \(v_f = v_i + v_{ex} * ln [\frac{m_r}{ m_f } ]\)

=>   \(v_f = v_i + v_{ex} * ln [\frac{0.6 m_o }{0.3mo } ]\)

=>   \(v_f = 0.357 v_{ex} + 0.693 v_{ex}\)

=>   \(v_f = 1.05 v_{ex}\)

Answer:

5.59 m/s2

Explanation:

F = 1900 N

m = 340 kg

F = ma

Therefore, a = 1900/340 = 5.59

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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An athlete is running a race, and he needs energy, then mitochondria are the organelle that will supply the energy for cellular function.

The principal purpose of the mitochondrion, a membrane-bound organelle found in the nucleus of nearly all eukaryotic cells (organisms with clearly defined nuclei), is to produce lots of energy in the shape of adenosine triphosphate (ATP). The normal shape and size of mitochondria are circular to oval and range from 0.5 to 10 m.

In addition to generating energy, mitochondria also produce heat and regulate cell development and death. They also store calcium for use in cell signaling functions.

Human erythrocytes don't contain any mitochondrial, whereas liver and muscle cells may have hundreds or even thousands of mitochondria. This is because the amount of mitochondria per cell varies greatly.

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Answer:

Reproduction

Explanation:

because reproduction produces variation within the species allowing the species to survive selection

Answer: D = reproduction

Explanation:

Diffraction is responsible for someone being able to hear sound from the room while standing by the wall to the side of the opening.

What is diffraction?

Diffraction refers to a variety of events that occur when a wave collides with a barrier or an opening.

Diffraction is described as the bending of waves around the corners of an obstruction or through an aperture into the region of the obstacle's geometrical aperture's shadow.

Hence option 2 is right. Diffraction is responsible for the following phenomenon.

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the person above is right on edge

Its B. Diffraction

To calculate the additional distance the buoy will sink when a man stands on top, we need to consider the change in buoyancy force and the additional weight added to the system.

The buoyancy force is equal to the weight of the fluid displaced by the buoy. In this case, since the buoy is floating vertically, the buoyancy force is equal to the weight of the buoy itself.

Buoyancy force = Weight of the buoy = Mass of the buoy * Gravitational acceleration

Buoyancy force = 1200 kg * 9.8 m/s^2 = 11,760 N

When the man stands on top of the buoy, his weight is added to the system. The additional weight is:

Additional weight = Mass of the man * Gravitational acceleration

Additional weight = 80 kg * 9.8 m/s^2 = 784 N

The additional weight will increase the total weight of the system, and consequently, the buoyancy force will also increase.

The additional distance the buoy will sink can be calculated using Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid displaced by the object.

Additional distance = Additional weight / (Cross-sectional area * Fluid density)

The cross-sectional area of the buoy can be calculated using the diameter:

Cross-sectional area = π * (Diameter/2)^2 = π * (0.9 m / 2)^2

Assuming the fluid density of saltwater is 1025 kg/m^3, we can substitute the values into the equation:

Additional distance = 784 N / (π * (0.9 m / 2)^2 * 1025 kg/m^3)

Calculating the additional distance will provide the specific value based on the given dimensions and assumptions.

In summary, to find the additional distance the buoy will sink when a man stands on top, we consider the change in buoyancy force due to the added weight. By using Archimedes' principle, the additional distance can be calculated by dividing the additional weight by the cross-sectional area of the buoy multiplied by the fluid density.

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If the velocity of the boat is changing, then the boat is changing direction.

option C.

The velocity of a boat can change due to various factors such as;

Additionally, the boat's velocity can change if the boat's pilot applies the brakes or changes the direction of the boat. The boat's velocity can also be influenced by the shape and weight distribution of the boat, the speed of the water, and the presence of other boats and objects in the water.

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If we are directly in the line of a jet coming out of the lobe galaxy's core, we see a phenomenon known as a quasar.

Quasars are incredibly bright and emit vast amounts of energy.

They are thought to be powered by supermassive black holes at the centers of galaxies. When material falls into the black hole, it heats up and emits intense radiation that can be seen from great distances.

Quasars are also useful for studying the early universe because their light has been traveling towards us for billions of years, allowing us to observe galaxies and structures that existed long ago.

However, being in the direct line of a quasar's jet can be dangerous, as the intense radiation and energy can cause damage to nearby planets and stars.

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Bus A will cover 2400 meters and Bus B will cover 1800 meters. The buses will be separated by a distance of 600 meters after 2 minutes.

To determine the distances covered by the buses in 2 minutes, we need to calculate the distance traveled by each bus separately.

Bus A is moving towards the east with a velocity of 20 m/s. In 2 minutes (120 seconds), it will cover a distance of 20 m/s * 120 s = 2400 meters (or 2.4 kilometers).

Bus B is moving towards the west with a velocity of 15 m/s. Since it's moving in the opposite direction, its displacement will be negative. In 2 minutes, Bus B will cover a distance of -15 m/s * 120 s = -1800 meters (or -1.8 kilometers).

To find their separation, we add the distances covered by each bus. The total separation will be 2400 meters + (-1800 meters) = 600 meters. Therefore, the buses will be separated by a distance of 600 meters after 2 minutes.

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Answer:

Mental and physical health is fundamentally linked. There are multiple associations between mental health and chronic physical conditions that significantly impact people’s quality of life, demands on health care and other publicly funded services, and generate consequences to society.  The World Health Organization (WHO) defines: health as a state of complete physical, mental and social well-being and not merely the absence of disease or infirmity.   The WHO states that “there is no health without mental health.”

Nowhere is the relationship between mental and physical health more evident than in the area of chronic conditions. The associations between mental and physical health are:

1. Poor mental health is a risk factor for chronic physical conditions.

2. People with serious mental health conditions are at high risk of experiencing chronic physical conditions.

3. People with chronic physical conditions are at risk of developing poor mental health.

The social determinants of health impact both chronic physical conditions and mental health. Key aspects of prevention include increasing physical activity, access to nutritious foods, ensuring adequate income and fostering social inclusion and social support. This creates opportunities to enhance protective factors and reduce risk factors related to aspects of mental and physical health.

Understanding the links between mind and body is the first step in developing strategies to reduce the incidence of co-existing conditions and support those already living with mental illnesses and chronic physical conditions.

Explanation:

Hope this helps

Brainliness please and thank you

Answer:

x) KE and GPE

y) Only GPE

z) Only KE

Explanation:

From the diagram, we have;

1) At point X, the gall is at an elevation higher than the thrower, therefore, the ) ball has (gravitational) potential energy, GPE, because it can fall  to a lower level unassisted from the height it was thrown

And the ball is also in upward motion, with which it reaches the height 'Y', therefore, the ball has kinetic energy, KE, to move higher

2) At point 'Y' which is the maximum height, the ball no longer moves upwards and momentarily, the ball has no vertical motion, therefore, the ball has only energy due to height, which is the gravitational potential energy, GPE

3) At the point Z, at the instant just before the ball touches the ground, the elevation of the ball above the ground is small, while the velocity of the ball is close to maximum velocity, therefore, the ball has Only kinetic energy, KE

Given:

Two resistors each of resistance R = 60 ohms are connected in parallel.

To find the equivalent resistance of the parallel portion.

Explanation:

The equivalent resistance of the parallel circuit can be calculated by the formula

On substituting the values, the equivalent resistance of the parallel circuit will be

Thus, the equivalent resistance of the circuit is 30 ohms.

Given:

The charge is q1 = 9.4 nC

The charge q2 = -2.31 nC

The distance between them is r = 4.94 cm

To find the electric field strength at the midpoint between two charges.

Explanation:

The electric field strength at the midpoint will be the sum of electric field strength due to q1 and q2.

The electric field strength can be calculated by the formula

Here, k is the electrostatic constant whose value is

The electric field strength due to the charge q1 is

The electric field strength due to the charge q2 is

The electric field strength at the midpoint will be

Thus, the electric field strength at the midpoint between the two charges is 173000 V/m

Answer:

See explanation below

Explanation:

In this case, you want to know if you put an object between these forces, which direction would go.

To know this, we need to calculate the moment of an object, which is defined as the product of a force and it's distance. In other words:

M = F * d   (1)

And, in order to reach equilibrium the force will exert a direction in clockwise or anticlosewise, and these moments, should be even:

anticlockwise moment = clockwise moment.

The clockwise would be the forces to the right, and anticlock would the only force to the left of the axle.

Clockwise moment = (10 * 0.8) + (25 * 2.6) = 73 Ns

Anticlockwise moment = 34 * 3.5 = 119 Ns.

As we can see, the moment in the anticlockwise is higher than the actual clockwise moment, therefore, we can assume that the object will move anticlockwise, or simply move to the left.

Hope this helps

Explanation:

The change in entropy is a measure of temperature. When the temperature of a compound or a system increases, there will be more randomness in the system.

The boiling point is directly related to the number of carbon atoms but is indirectly proportional to the branching in a hydrocarbon.

Butane and methyl propane, both have 4 carbon atoms.

But, butane has 4 carbon atoms in a straight chain while methyl propane has 3 carbon atoms in a straight chain and 1 methyl substituent which makes it a branched hydrocarbon.

Thus, the boiling point of methyl propane will be less than the butane. Likewise, the pattern in entropies will be seen.

Heat is transferred from the sun-warmed surface of the earth to the cooler overlying troposphere via conduction.

Conduction, convection, latent heating, and water phase transitions all help to carry heat from the Earth's surface, which has been warmed by the Sun, to the cooler troposphere above.

Latent heat flux is the worldwide transfer of latent heat energy via water and air currents. Here, we demonstrate how air circulation transports latent heat energy horizontally to cooler regions, where it condenses into rain or is deposited as snow, releasing the heat energy that was previously trapped there.

When air is heated from below by sunshine or by coming into contact with a warmer land or sea surface, convection occurs and the air below becomes less dense than the air above.

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Using the formula for double-slit interference, we can calculate the unknown slit separation. By rearranging the formula, we find that the slit separation is approximately 0.188 mm.

In a double-slit experiment, the interference pattern observed on the screen is determined by the slit separation (d) and the wavelength of the light (λ). The formula for the position of the interference fringes is given by:

\(y=\frac{(m \lambda L)} {d}\)

where y is the distance of the fringe from the central line, m is the order of the fringe (in this case, m = 1 for the first-order line), λ is the wavelength, L is the distance from the slit to the screen, and d is the slit separation.

In this scenario, we are given the wavelength (639.6 nm), the distance from the slit to the screen (1.226 m), and the position of the first-order line (71.0 mm or 0.071 m) from the central line.

  Rearranging the formula, we have:

 \(d=\frac{(m \lambda L)} {y}\)

Substituting the given values, we can calculate the slit separation:

 \(d=\frac{(1 \times 639.6 nm \times 1.226 m)} {(0.071 m)}\)

By evaluating this expression, we find that the slit separation is approximately 0.188 mm.

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