A 30kg metal ball is dropped from a height of 12.5 m.  
a.  Find the final velocity when the ball  hits the ground.
b.  Find the time it takes for the ball to hit the ground.

You can answer this question using the equation PV = nkT, with the Boltzmann constant. This equation should come to mind since they listed every variable in the equation except for n, which is used to calculate the number of molecules!

Also note that temperature should be in Kelvin, so we should do a quick conversion!
K = 273 + C

K = 273 + 22

K = 295

Now we can plug and chug!

[tex]PV=nRT\\(1.0*10^5)(0.36)=n(1.38 * 10^{-23})(295)\\n=\frac{(1.0*10^5)(0.36)}{(1.38 * 10^{-23})(295)}\\n=8.84*10^{24}[/tex]

Therefore, there are 8.84E24 molecules of air in the refrigerator!

The number of molecules of air in the refrigerator is 14.67.

Given:

P = 1.0 x 10⁵ Pa

V = 0.36 m³

R = 8.314 J/(mol·K)

T = 295.15 K

To calculate the number of molecules of air in the refrigerator, the ideal gas law can be used, which states: PV = nRT

where:

P = pressure of the gas

V = volume of the gas

n = number of moles of gas

R = ideal gas constant

T = temperature of the gas

First, let's convert the temperature from Celsius to Kelvin:

T = 22°C + 273.15 = 295.15 K

Now, rearrange the ideal gas law equation to solve for the number of moles (n) of gas:

n = PV / RT

Substituting in the values:

[tex]n = \frac{1.0 \times 10^5 \times 0.36}{8.314 \times 295.15}\\[/tex]

n = 0.0001467 × 10⁵

n = 14.67

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Answer:

800

Explanation:

10^2 = 100
8 x 100  = 800

Answer:

Chemical energy to sound energy to heat energy

The total height of the building from which the brick is thrown is 33.60 meters.

Speed is the rate of change of position of an object in any direction with respect to time. Speed is measured as the ratio of distance to the time in which the distance was covered. The SI unit of speed is m/s (meter per second).

The time of flight of the object from the building is:

t = 2μ sinθ/ g

t = 2 × 15 × sin10/ 9.8

t = 30 × 0.175/ 9.8

t = 0.535 seconds

Total time to cover the distance = 2.9 seconds

Total time = 2.9 - 0.535

Total time = 2.365

μg = μ sinθ

h = 15 × sin10  × 2.365 + 1/2 × 9.8 × (2.365)²

h = 2.625 × 2.365 + 1/2 × 9.8 × (2.365)²

h = 6.20 + 4.9 × 5.59

h =  6.20 + 27.40

h = 33.60 meters

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TheThe charge applied on each ball is 2 X 10∧-9 C.

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.

The pitch balls repent each other with force

F= 4 X 10^-5N

Let the charge on each ball be Q.

4 X 10^-5= k(Q)(Q) /  (3 X 10^-2)^2

Q^2= 4*10^-5X 9*10^-4 / 9*10^9

Q^2 = 4 X 10^-18

Q= √4 X 10^-18

Q = 2 X 10^-9 C.

Therefore, the charge on each ball is 2X10^-9C.

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Each ball has been charged with 2 X 10⁹ C. When a product is held in electrostatic energy, its properties referred to as electric discharge allows it to feel force.

A force can compel a heavily armored item to increase or modify overall velocity. A push or a pull is a simple and effective method to explain force. That's because a force has both magnitude and direction it is a dimensionless number.

The pitch balls repent each other with force

F = 4 X 10⁻⁵N

4 X 10⁻⁵ = k(Q)(Q) /  (3 X 10⁻²)²

⇒ Q²      = 4 × 10⁻⁵ X   9 × 10⁻⁴ / 9 × 10⁹

⇒ Q²      = 4 X 10⁻¹⁸

⇒ Q        = √4 X 10⁻¹⁸

⇒ Q        = 2 X 10⁻⁹ C.

Therefore, the charge on each ball is 2 X 10⁻⁹C.

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The conditions that determine which process occurs in a cell are largely based on the environment and the needs of the cell.

A cell is the basic unit of life. It is the smallest unit of an organism that is capable of independent functioning. Cells are composed of a variety of molecules, including proteins, lipids, carbohydrates, and nucleic acids. Cells are able to carry out functions such as energy production, metabolism, growth and division, movement, and communication.

These conditions include the availability of nutrients, the presence or absence of specific signaling molecules, the amount of oxygen, and the temperature. In addition, the genetic makeup of the cell and its response to internal and external cues can also determine which processes occur.

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The mass of the moving item is referred to as momentum. There is magnitude and direction to momentum. The object has a momentum of 7.2 g-m/s.

Momentum is a vector quantity that is created during motion by an object's mass and velocity. Thus, momentum will be expressed in units of kg-m/s.

Considering that item has motion. Likewise, 1 kilogram equals 1000 g. Therefore, the momentum will transform into units of grams when we enter the value of 1 kg.

Momentum = 7.2 x 10⁻³ 1000g-m/s

Momentum = 7.2 g-m/s.

Thus, we may deduce that the object's momentum, measured in grams per second, is 7.2 g-m/s.

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Answer:

E = F * S       definition of energy

P = E / t = F * S / t         definition of power

P = 5.6E4 N * 4.5 m / 4.2 s = 60,000 watts

Explanation:

Mass of the football = 0.49 kg

Initial velocity of the ball ,u= 0 m/s

Final velocity of the ball ,v= 44 m/s

time of contact ,t = 0.028 seconds

First law of motion:

v=u+at

44 m/s=0+a\times 0.028 sec44m/s=0+a×0.028sec

a=1,571.42 m/s^2a=1,571.42m/s

2

force=mass\times acceleration=0.49 kg\times 1,571.42 m/s^2=769.99Nforce=mass×acceleration=0.49kg×1,571.42m/s

2

=769.99N

The magnitude of the force exerted by the ball on the kicker's foot is of 769.99 Newtons.

The boat will arrive 2.5 meter in east far from a point directly north on the other side of the river.

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.

A boat has a speed of 20m/s in still waters.

The velocity of river is 5m/s in east.

The width of the river is = 10 meter.

Hence, time taken by the board to cross the river = 10/20 second

= 0.5 second.

In this time, the board will move in east direction   = 5×0.5 meter = 2.5 meter.

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Based on the image shown, the numbers that correspond to the term or phrase assuming that the electrons flow counterclockwise from 3 to 2 to 1, from 5 to 4 to 5, and to 3 are:

Electrochemical cells are cells that convert chemical energy to electrical energy.

The components of an electrochemical cell are:

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The force due to gravity here is 14.7 N. The net force acting on the brick is 9.5 N and the acceleration of the brick is then 6.3 m/s².

Friction is a resistive force which opposes the motion of an object. The product of normal force by gravity and frictional coefficient gives the frictional force.

Given that, mass = 1.50 Kg

force by gravity = mg = 1.50 × 9.8 m/s² = 14.7 N

parallel component = 14.7 cos 34.4 = 12.12 N

perpendicular component  = 14.7  sin 34.4 = 8.30 N

The frictional force = mg × coefficient of friction

= 14.7 × 0.35 = 5.14 N

then net force = 14.7 - 5.14 = 9.5 N

Acceleration of the brick = net force/mass

a = 9.5 N/1.50 Kg = 6.30 m/s²

Hence, acceleration on the brick is 6.30 m/s².

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The statement that a doctor who is monitoring the health of astronauts in space has just received a signal that indicates one of the astronauts may be experiencing low blood sugar. The mission control personnel that would communicate this to the astronaut on board the space craft is CAPCOM is true. So the correct option is A.

When there is a mission in which astronauts do space exploration, there will be mission control on the ground made up of members who will take over from the astronauts on earth, this will be the CAPCOM. These people will transmit the decision-making of the mission director who will be from the ground and will also communicate the needs of the astronauts to the people who control the mission.

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The gravitational potential energy of a body is determined by the equation U=mgh, where m is the body's mass, g is its gravitational force, and h is its height. The relationship between mechanical energy and gravitational potential energy is described by the equation E=U+K.

KE= 1/2 m v2

The relationship between kinetic energy and an object's mass and square of its velocity is direct: K.E. = 1/2 m v2.

It provides information on how a substance's mass impacts its velocities. Take this as a case study. A lorry and a sleek vehicle powered by the same engine cannot go at the same pace because to their different designs.

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the acceleration of the cat is 5m/s square

The following statement is not a scientific hypothesis:

C. Halle Berry is attractive.

A scientific hypothesis is a proposed explanation for an observation or pattern in nature that can be tested through further investigation and experimentation. It should be testable, falsifiable, and based on evidence.

Neon atoms emit red light. This is a scientific hypothesis that can be tested and confirmed by looking at the spectrum of light emitted by neon atoms.

B. There is an attractive force between the earth and moon. This is a scientific hypothesis that can be tested and confirmed by measuring the force of gravity between the earth and moon.

D. Summer days are the hottest of the year. This is a scientific hypothesis that can be tested and confirmed by collecting temperature data during the summer months.

E. The sky is blue. This is a scientific hypothesis that can be tested and confirmed by observing the sky under different atmospheric conditions.

The statement "Halle Berry is attractive" is a subjective opinion that cannot be tested or confirmed through scientific investigation, hence it is not a scientific hypothesis. Attractiveness, as a concept, can vary widely based on personal, cultural, and social factors.

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The perpendicular force that a surface applies to an item is known as the normal force. FN = m ⋅ g

The perpendicular force that a surface applies to an item is known as the normal force. For instance, if you place a book on a table, a gravitational force will cause it to fall. The table pulls on the book in order to counterbalance this force and keep it from dropping. The normal force, often known as the opposing force, is denoted by the symbols FN F N or  NN. "N" stands for the normal force unit (Newton).

A common illustration of Newton's third rule of motion is the normal force.

When one object applies force to another, the other applies a force in the opposite direction and of equal magnitude to the first object (action equals reaction).

Therefore, the force applied by the item to the surface is equal to the normal force. The calculations change according to the surface's slope.

The formula is as follows for an object laying on a flat surface:

FN = m ⋅ g

where

The mass of an object is m.

Gravitational acceleration is denoted by g.

The normal force (FN F N ) for an item on a flat surface is equal to its gravitational force, according to Newton's third law ( WW).

The formula is as follows for an object laying on a flat surface:

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It would increase................

The top move will in a circle because there is tension at the top which will add up with the weight of the toy to maintain equal centripetal force providing the circular motion.

The tension experienced by the top of the vertical circle is calculated by using the following formula.

T = Fc - W

where;

T = mv²/r - mg

where;

The tension experienced by the toy at the top of the vertical circle is calculated as follows;

T = ( 0.15 x 2² / 0.8 ) - ( 0.15 x 9.8 )

T = 0.75 - 1.47

T = -0.72 N

Thus, with the negative tension at the top of the vertical circle, the sum of the tension force and the weight of the toy will be equal to the centripetal force to maintain the orbit of the toy in a circular path.

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Answer:

True:

F1 = G M1 M2 / R^2

F2 = G (2 M1) * (2 M2) / (2 R)^2

F1 = F2

Due to the possibility of misinterpretation, the poem "Wild Duck" can be read as either the speaker leaving her lover or the lover leaving her.

Lola Ridge's poem "Wild Duck" allows for more than one interpretation of the speaker's meaning. As a result, it is ambiguous. The ambiguity of the poem can be examined, and the following response to the prompt:

You could say that according to your interpretation of the poem, the speaker is telling us about a night when she bid her lover farewell.

You could argue that the metaphor comparing the speaker to wild ducks and the speaker's statement that her heart "races along the train rails" are examples from the poem that support your claim.

You could argue that a different reading would imply that the speaker is the one being dumped by her lover.

You could cite the second stanza, which is not included here, where the speaker claims that the "known you" have emptied her soul, as proof for your claim.

But it's crucial to remember that the first interpretation appears to be the most plausible one. The metaphor involving the wild duck and the personification of the heart that runs on rails are quite clear, even though the poem does leave some room for ambiguity. The person who wants to leave someone behind is the speaker.

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The electric potential at x=3.0m is  - 180 Volt according to the figure 1.

An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity. Additionally, it refers to a system of charged particles' physical field.

Electric charges and time-varying electric currents are the building blocks of electric fields.

The electric potential at x=3.0m is given by = initial potential energy + electric field× distance

= - 180 Volt + 0 Volt/meter×3 meter

= - 180 Volt.

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Answer:

ratio variables

Ratio scale of measurement

Weight, height and distance are all examples of ratio variables. Data in the ratio scale can be added, subtracted, divided and multiplied. Ratio scales also differ from interval scales in that the scale has a 'true zero'. The number zero means that the data has no value point

The work done to the mower is the product of the external force applied on the object and the distance covered by the object which is equal to 40,811 Joules.

Work done on an object can be defined as the product of external force applied on the object and the distance over which the force is being applied on the object. Work is done on an object when a force is applied to an object and the object is moved through certain distance.

From this we can see that the horizontal component of the force:

X-Component (horizontal component):

cos(θ) = x/F

Then,

X= F cos(θ).…..(1)

Now putting the values of F and θ in equation (1) we get,

X = 72 N × cos(40)

X = 72 N × 0.766

X= 55.15 N this is the x-component force

The work done to the mower is:

W = F × d

W = 55.15 × 740

W = 40,811 Joules

The work done to the mower is 40811 Joules.

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Answer:

4 rad/s

Explanation:

The angular velocity is velocity over time:

[tex]\displaystyle{\omega = \dfrac{v}{r}}[/tex]

We know that the velocity is 20 m/s and the radius is half of diameter which is 10m/2 = 5 m. Hence, substitute in the formula:

[tex]\displaystyle{\omega = \dfrac{20 \: \text{m/s}}{5 \: \text{m}}}\\\\\displaystyle{\omega = 4 \: \text{rad/s}}[/tex]

Therefore, the angular velocity is 4 rad/s

Ans-The density of states function describes the number of states that are available in a system and is essential for determining the carrier concentrations and energy distributions of carriers within a semiconductor.

Answer:

density equal to mass upon volume

simple definition

The best way for her to use the laptop in her science class  is to take notes as her teacher talks

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Wind turbines, hydroelectric, and geothermal heat have been relied upon for decades to provide a renewable and clean energy source to people around the world. These alternative energy technologies provide optimal clean and renewable energy sources for many communities and countries striving for sustainable development.

Answer:

Adding together and dividing by how many terms you added

Explanation: