The reasoning developed for counting microstates applies to many other situations involving probability. For example, if you flip a coin 5 times, how many different sequences of 3 heads and 2 tails are possible? Answer: 10 different sequences, such as HTHHT or TTHHH. In contrast, how many different sequences of 5 heads and 0 tails are possible? Obviously only one, HHHHH, and our equation gives 5!/[5!0!]=1, using the standard definition that 0! is defined to equal 1 If the coin is equally likely on a single throw to come up heads or tails, any specific sequence like HTHHT or HHHHH is equally likely. However, there is only one way to get HHHHH, while there are 10 ways to get 3 heads and 2 tails, so this is 10 times more probable than getting all heads. Use the expression 5!|[N!(5−N)!] to calculate the number of ways to get 0 heads, 1 head, 2 heads, 3 heads, 4 heads, or 5 heads in a sequence of 5 coin tosses. Make a graph of the number of ways vs. the number of heads.

The power loss over the given distance in which the current is carried is 12 MW.

option D is the correct answer.

The current carried in the power line is calculated by applying Ohms law as follows;

V = IR

P = IV

I = P/V

where;

I = (250 x 10⁶) / (230,000)

I = 1,086.96 A

The power loss over the given distance in which the current is carried is calculated as;

P = I²R

where;

P = (1,086.96²) x 10

P = 11.8 x 10⁶ W

P ≈ 12 x 10⁶ W

P = 12 MW

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You will take 3 second to stop and you will go 9 meters far.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Given that:

Initial velocity: u = 6 m/s.

deceleration: a = 2 m/s^2.

Final velocity = 0 m/s.

We have to find:  time: t = ? and distance travelled: s = ?

So, time taken to stop = v/a = 6/2 second = 3 second.

Distance travelled in this process: s = v^2/2a = (6×6)/(2×2) meter = 9 meter.

Hence, you will take 3 second to stop and you will go 9 meters far.

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The separation distance in B is a number times greater than in A, then the force of attraction in B is less than A.

The force of attraction between two charged object is determined by applying Coulomb's law.

Coulomb's law states that the force of attraction or repulsion between two charged objects is directly proportional to the product of the charges and inversely proportional to the square of the distance between the charges.

Mathematically, this law is written as;

F = Kq₁q₂/r²

where;

From the formula given above, as the distance of separation increases, the magnitude of the force of attraction between the charges decreases. Also, as the distance of separation between the charges decreases, the magnitude of the force of attraction between the charges increases.

Thus, the magnitude of the force of attraction between charged objects is a function of the magnitude of the charges and distance of separation between the charges.

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The top speed of a cheetah in m/s is 31.29 m/s.

Given data:

The initial speed of a Cheetah is, u = 0 mph.

The final speed of the Cheetah is, v = 70 mph.

The time interval is t = 2.2 seconds.

We are already given with top speed of a Cheetah, and it’s none other than the final speed itself. Now we need to convert the mph value of top speed into m/s value.

We know that,

1 mph = 0.44704 m/s

So, the value of 70 mph in m/s is,

Thus, we can conclude that the top speed of a cheetah in m/s is 31.29 m/s.

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The magnitude of the weight of the 12 kg chair is 117.6 N

The weight of an object is the magnitude of the force of gravity acting on an object.

The unit of the weight of an object is Newton, N.

The weight of an object is given mathematically as follows:

weight = m * g

where;

m is the mass of the object

g is the acceleration due to gravity = 9.8 m/s²

From the data provided, the weight of the chaur is calculated below.

The weight of the 12 kg chair will be:

weight= 12 * 9.8

Weight = 117.6 N

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It will take 3 sec to stop at the distance of 9 m while declaration.

Deceleration was actually inversely related to acceleration. We know that acceleration means the speed at which the object is accelerating, and deceleration means the speed at which the object is decelerating. For example, when you brake while driving, deceleration is used to slow the vehicle. This is represented by -a. where a is the acceleration.

Time taken to stop:

-a = (v-u)/t

-2 = (0-6)/t

t = -6/2

t = 3 sec.

Distance travelled during this process:

v² = u² + 2as

Since, v =0

s = u²/2a

= (6×6)/(2×2)

= 9 m

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Answer:

The answer is option D: trial 1 is the largest while trial 3 is the smallest.

Explanation:

Gravitational force is the attraction that exists between all objects at all times.

The  force ranking, that is consistent with Anna's data, be Trial 1 is the largest, trial 3 is the smallest.

Newton's universal law of gravitation states that the force of attraction between any two bodies is inversely proportional to the square of the distance between them and directly proportional to the product of their masses.

In the data: trial 1  has largest mass of the moon and smallest distance between the planet and the moon. So, the gravitational force will be largest here. Trial 2 has both smallest mass of the moon and largest distance. Hence, according to definition of gravitational force, in this case force is the smallest.

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Answer:

Attract

Explanation:

The balloons attract each other due to electrons.

Hope this helps :)

The force between the two point charge when they are separated by 18 cm is 3 N

Coulomb's law states as follow:

F = Kq₁q₂ / r²

Cross multiply

Fr² = Kq₁q₂

Kq₁q₂ => constant

F₁r₁² = F₂r₂²

Where

With the above formula, we can obtain the force between the two point charge when they are 18 cm apart. Details below:

F₁r₁² = F₂r₂²

27 × 6² = F₂ × 18²

972 = F₂ × 324

Divide both side by 324

F₂ = 927 / 324

F₂ = 3 N

Thus, the force when they are 18 cm apart is 3 N

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Answer:................

Explanation:.............

Answer: 15.49m/s

If you could give me brainliest that would be a great help! Thanks!

-Dante

The rock takes 1.22 seconds to hit the water.

The rock is moving at 15 m/s when it hits the water.

We can use the following equations to solve for the time it takes the rock to hit the water (t) and the final velocity of the rock (v):

v = v₀ + at

where v₀ is the initial velocity of the rock (0 m/s), g is the acceleration due to gravity (9.8 m/s²), and h is the height of the bridge (12 m).

First, let's solve for the time it takes the rock to hit the water:

t = v - v₀ / g

t = 15 m/s - 0 m/s / 9.8 m/s²

t = 1.22 seconds

Now, let's solve for the final velocity of the rock:

v = v₀ + at

v = 0 m/s + 9.8 m/s² * 1.22 seconds

v = 15 m/s

Therefore, the rock takes 1.22 seconds to hit the water and is moving at 15 m/s when it hits the water.

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The water pressure at the bottom of the 54-m-high water tower is

pressure of water at a certain depth is calculated using the formula

Pressure, P = height * density * acceleration due to gravity

density of water is given by = 1000 kg/m³

acceleration due to gravity is given by = 9.82 m/s²

the given height, at the bottom of the 54-m-high water tower  = 54 m

Pressure = 1000 kg/m³ *  9.82 m/s² * 54 m

Pressure = 530280 N/m²

Pressure = 0.53 M N/m²

Pressure = 0.53 M Pa

The pressure at the bottom of the 54-m-high water tower is 0.53 MPa

The unit of pressure used here is Pa which is equal to N/m² other unit include pound - force foot

1 N/m² = 0.73756 pound-force foot

530280 N/m² = 530280 * 0.73756 = 391113.32 pound-force foot

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The period and frequency of the pendulum are equal to 2 sec and 0.5 Hz.

A simple pendulum can be defined as a mechanical arrangement that possesses periodic motion. The simple pendulum is made of a bob having mass suspended by a thin string hung at its upper end of the length.

The simple pendulum moves freely back and forth in an oscillatory motion and the motion of the pendulum occurs in a vertical plane which is operated by the gravitational force.

The relationship between the time period and length of the pendulum is given by:

T = 2π√(L/g)

Where 'g' is the acceleration due to gravity  and  'L' is the length of the pendulum.

T = 1/f     where is the frequency of the pendulum.

Given, the length of a pendulum,  L = 1 m

Then the period of the pendulum can be calculated as:

[tex]T = 2\times 3.14 \sqrt{\frac{1}{9.8} }[/tex]

T = 2 s

The frequency of the pendulum, f = 1/T = 1/2 = 0.5 Hz

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The efficiency of the electric kettle is 79.17%.

The efficiency of the electric kettle is the measure of how well the electric kettle converts the input energy into useful output energy.

Generally, efficiency of any device is the measure of the device ability to covert input energy into useful out energy or the percentage of the input energy being converted into useful out put energy.

Mathematically, the formula for efficiency of any device is given as;

E = (output energy / input energy) x 100%

Input energy of the electric kettle = 120,000 J

Out put energy of the electric kettle = 95,000 J

Efficiency of the electric kettle = (output energy / input energy) x 100%

Efficiency of the electric kettle = (95,000 / 120,000) x 100%

Efficiency of the electric kettle = 79.17 %

Thus, the efficiency of the electric kettle is a function of output energy and input energy.

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The size of the smallest human feature that can be seen is  1.28 * 10^-4 m.

We know that ultrasound is used in the observation of the human tissues. In most cases, the ultrasound can be used to "see" the fetus that is still in the womb in addition to a lot of other things that the ultra sound can be used to do in the human system.

Given that;

v = λf

v = speed of the wave

λ = wavelength of the wave

f = frequency of the wave

Thus;

λ = v/f

λ = 1540/12 * 10^6 Hz

λ = 1.28 * 10^-4 m

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Answer:

A solution is a homogeneous mixture in which the components are dissolved uniformly. The components of a solution are solute and solvent.

Explanation:

The criteria for a successful parachute system are that it must be able to safely land the camera without breaking any of the eggs. The constraints are that the parachute must be made using only string, plastic bags, paper, and fabrics, and the camera must be modeled using a carton of eggs.

One possible model for the parachute system could be a square parachute made of paper or fabric, with strings attached to the corners of the parachute. The camera (represented by the carton of eggs) would be attached to the center of the parachute.

To test the model, we could drop the parachute and camera from a height of one story (or a similar height) and observe whether the eggs break upon landing. If the eggs do not break, the parachute system is considered successful.

After the first test, we could make changes to the design of the parachute (such as changing the shape or size, or adding more strings) and test it again to see if it performs better. We could continue making and testing different designs until we find a parachute system that meets the criteria and constraints.

Explanation:

395.53 N

The force of attraction between a student of mass 53 kg and Earth is calculated using the equation F = G*m1*m2/r^2, where G is the gravitational constant (7.51 N/kg), m1 is the mass of the student (53 kg), m2 is the mass of Earth, and r is the distance between them (the altitude of the space shuttle). Plugging in these values, we get F = 7.51*53*5.97e24/((6.37e6 + 6.37e6)^2) = 395.53 N.

Answer:

Fossil fuels are energy sources that come directly from nature. First, the sun's radiant energy is stored as chemical energy in plants by photosynthesis. When the plants die, they start decaying. After many years, the plants are turned into fossil fuels.

Explanation:

Fossil fuels rely on the Sun's energy because the energy in fossil fuels came from plants and algae as they performed photosynthesis, which requires sunlight.

When sunlight strikes a plant, some of the energy is trapped through photosynthesis and is stored in chemical bonds as the plant grows.

(u should paraphrase it)

The speed of the cylindrical container will increase as you increase the temperature of the fluid.

The speed of an object moving down an inclined plane is determined by applying Newton's second law of motion.

F(net) = ma

where;

The net force on the object is determined by subtracting force of friction from the applied force and it is given as;

F(net) = F - Ff

F(net) = F - μmg

where;

When the temperature of the fluid inside the sealed cylindrical container increases, the container becomes more light because the fluid will acquire more kinetic energy and kinetic frictional force resisting the motion of the container reduces and consequently the speed of the cylindrical container will increase.

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The output work of the car is 26J. The efficiency of the car can be improved by

i. changing the car oil

Ii. replacing the air filters

The efficiency of a machine indicates how well its input work is converted to useful output work or energy. It is a major factor in the usefulness of a machine and is the fraction or percentage of the output work divided by the input work.

efficiency = work output/work input ×100

13= (work output/200) ×100

13×200= work output×100

Therefore the work output = 2600/100= 26J

The efficiency of the car is low and can be increased in the following ways

i. changing the car oil

Ii. replacing the air filters

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The frictional force of an object is the product of the normal force and coefficient of kinetic friction. Here the frictional force acting on the object  is 16.4 N.

Frictional force is a kind of force acting on a body to resist it from motion. Thus, the direction of the force will be in negative with the magnitude. Frictional force is the product of coefficient of friction and the normal force.

The normal  force acting on the object of mass 4.2 Kg is N = mg

N = 4.2 Kg × 9.8 m/s² = 41.16 N

Frictional force = ц N

                         = 0.40 × 41.16 N

                         = 16.4 N.

Therefore, the frictional force acting between the surface of the object and the floor is 16.4 N

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Your question is incomplete. But your complete question probably was:

The coefficient of kinetic friction between an object and the surface upon which it is sliding is 0.40 the weight of the object is 4.2 kg. What is the frictional force of the object?

They can conclude that: force needed to pull the mass up the inclined plane is not same and they are:

force needed in 20 cm path  > force needed in 30 cm path > force needed in 40 cm path.

An object's push or pull is seen as exerting a force. The interaction of the objects produces push and pull. You can also use words like stretch and squeeze to describe force.

The definition of force in physics is: The push or pull on a mass-containing item changes its velocity.

Let the mass be m.

To pulled the same mass up an inclined plane of angle θ, they have to work against gravitational force which is mgsinθ.

So for same height h:

force needed for 20 cm long inclined plane is = mgsinθ = mg(h/20).

force needed for 30 cm long inclined plane is = mgsinθ = mg(h/30).

force needed for 40 cm long inclined plane is = mgsinθ = mg(h/40).

So they can conclude that: force needed to pull the mass up the inclined plane is not same and they are:

force needed in 20 cm path  > force needed in 30 cm path > force needed in 40 cm path.

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Answer:

it would be 80 would it not

Explanation:

The 40 is just the angle to the normal ray. just multiply it by two giving you 80

Answer:

Thermal energy refers to the energy contained within a system that is responsible for its temperature. Heat is the flow of thermal energy.

Explanation:

1. Thermal insulators doe not conduct heat. They are used to protect other materials from high temperatures. 2.  The temperature of ice after 0 degree stay same for some period until the completion of phase transition from ice to water.

1. Thermal energy is a form of energy generated by the temperature change in the body. The heat energy absorption by a body make its temperature increased. However, not all material are thermally conducting. The material which are resistant to heat is called thermal insulators.

Thus, thermal insulators does not pass heat energy through the material and it stays the same temperature inside. They are used to protect materials from high temperatures.

2. Ice melts at a temperature of 0 degree Celsius. When thermal energy is applied to ice the temperature  of ice increases up to its melting point then remains same for some time. Because the energy absorbed is used for the phase transition and the temperature becomes  constant until the transition completes.

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The position versus time graph that matches the description: a speed versus time graph has a horizontal line at 5 m/s from zero to five seconds is Graph A; The correct option is A.

A  position versus time graph is a graph that plots the position of an object against the time it takes for the object to move from one point to another.

The slope of a position versus time graph represents the speed or velocity of the object.

The slope of a position time graph = distance or position/time

A speed versus time graph is a graph that plots the speed of an object against the time it takes for the object to move to that speed.

The slope of a position versus time graph represents the acceleration of the object.

Considering the given speed versus time graphs:

Graph A: the speed versus time graph has a horizontal line at 5 m/s from zero to five seconds.

Graph B: the speed versus time graph shows variation is speed over time

Graph C: the speed versus time graph shows a constant increase in speed over time

Graph D; the speed versus time graph shows a constant decrease in speed over time

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The mass of the object is equal to 48 Kg if the net force is 60 N.

Acceleration can be defined as the rate at which the object changes its velocity with respect to time. The acceleration is a vector parameter and can be expressed as the second derivative of position w.r.t. time.

The force acting is equal to the multiplication of the mass and acceleration according to Newton's second law of motion.

F = ma

And, a = F/m

Given, the net force acting on an object, F = 60 N

The object is accelerating at a rate, a = 1.25 m/s²

The mass of the object can be calculated by using the given information:

m = F/a

m = 60/1.25

m = 48 Kg

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The fraction of the initial kinetic energy is transformed into thermal energy is 3/4.

The fraction of the initial kinetic energy is transformed into thermal energy is calculated by applying the principle of conservation of energy as shown below.

Mathematically, this is given as;

ΔK.E = E

where;

E = K.Ef - K.Ei

where;

E = (¹/₂mu² - ¹/₂mv²) / (¹/₂mu²)

where;

E = (u² - v²) / (u²)

E = (20² - 10²) / (20²)

E = 0.75 = 3/4

Thus, the fraction of the initial kinetic energy is transformed into thermal energy is a function of the change in speed of the baseball.

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