a football is kicked from ground level at a speed of 28 m/s m / s . if it reaches a maximum height of 26 m m , at what angle was it kicked (relative to horizontal)?

Answers

Answer 1

The football was kicked at an angle of approximately 8.2 degrees relative to the horizontal.

The problem can be solved using kinematic equations of motion and conservation of energy. The initial vertical velocity component of the football can be calculated from the initial velocity, maximum height, and time of flight, which can be calculated from the vertical motion of the football.

The initial vertical velocity component, v0y, can be calculated as follows:

v0y = v0sinθ

where v0 is the initial velocity and θ is the angle at which the football was kicked. The maximum height, h, is related to the initial vertical velocity and the acceleration due to gravity, g, by the following equation:

h = v0ysinθ * t - 1/2 * g * t^2

Rearranging and substituting the values:

sinθ = (h + 1/2 * g * t^2) / (v0 * t)

where t is the time of flight and can be calculated as:

t = (2 * v0sinθ) / g

So,

t = (2 * 28 * sinθ) / 9.8

And the maximum height is:

h = 28sinθ * t - 1/2 * 9.8 * t^2

Substituting the given values:

26 = 28sinθ * (2 * 28 * sinθ) / 9.8 - 1/2 * 9.8 * (2 * 28 * sinθ)^2 / 9.8^2

Solving for sinθ:

sinθ = sqrt(520 / 506) = sqrt(13 / 127)

So,

θ = sin^-1(sqrt(13 / 127)) = approximately 8.2 degrees

Thus, the football was kicked at an angle of approximately 8.2 degrees relative to the horizontal.

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Related Questions

in a system of gas, if we double the temperature what happens to the energy of the particles? A. the energy halves b. the energy quadruples c. the energy double d. the energy stays the same

Answers

The centrifugal acceleration of the molecules twice as the temperature of a gaseous system doubles. As the temperature is raised, heat light is stored and added to the body's internal energy supply.

What are energy and its measure?

Energy is the capability to accomplish labor. The amount of labor an organism's stored energy is capable of performing after it is expended. energy is a scalar quantity. The term "joule" refers to the SI unit of energy. The quantity of energy required to do one photon of activity is one joule.

What is the simplest definition of energy?

Scientists refer to energy as the ability to work. Modernity is feasible because people have learned how to transfer information from one media to another and then use it to complete tasks.

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A single cubic centimeter of the human brain consists of well-over 50 million.

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A single cubic centimetre of the human brain does not consist of well over 50 million of any specific structure or component. The number of neurons, glial cells, or any other type of brain cell can vary greatly depending on the specific region of the brain being considered.

How many cells are in a single cubic centimetre of brain tissue?

It is difficult to accurately quantify the number of cells in a single cubic centimetre of brain tissue, as there is significant overlap and intermingling between different cell types.

In how many parts human brain is divided?

The human brain is divided into several distinct regions, each of which plays a unique role in regulating various cognitive and physiological functions. Some of its parts are the cerebellum, cerebral cortex, thalamus and hypothalamus.

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determine the coefficient of surface tension of given liquid by capillary rise method.

Answers

Answer:

5.638 divided by 32.791 is approximately equal to 0.171.

Explanation:

. if a proton is released from rest in an electric field, will it move in the direction of increasing or decreasing potential? also answer this question for an electron and a neutron. explain why.

Answers

A proton will move in the direction of increasing potential in an electric field.

An electron will move in the direction of decreasing potential in an electric field.

A neutron, being neutral, will not be affected by the electric field and will not move.

This is due to the fact that an electron has a negative charge and will be drawn to areas of lower potential, whereas a proton has a positive charge and will be drawn to areas of higher potential. Because it has no charge and is neutral, a neutron is unaffected by the electric field.

What are electrons?

The English physicist J.J. Thomson made the discovery of the electron in 1897 while researching cathode rays. His discovery of electrons—originally referred to as corpuscles—revolutionized our understanding of atomic structure.

The electron is the lightest known stable subatomic particle. It has a negative charge that is equivalent to 1.602176634  × [tex]10^{-19}[/tex] coulombs, which is regarded as the fundamental unit of electric charge.

The mass of an electron is not taken into account when determining an atom's mass number because it is nearly massless when compared to a proton or neutron.

The attraction between the electrons and the nucleus in any given atom prevents the repulsion between the electrons, which would normally force them to fly apart, from preventing the electrons from moving about the nucleus in an orderly arrangement of orbitals.

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a 0.105 kg hockey puck moving at 24 m/s is caught and held by a 75 kg goalie at rest. with what speed does the goalie slide on the ice?.

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The goalie slides on the ice with a velocity of 0.24 m/s

What is the momentum conservation law?

One of physics' most powerful laws is the conservation of momentum. The law of momentum conservation is explained in the paragraphs that follow.

For an impact between object 1 and object 2, the combined momentum of the two objects prior to the collision is equal to the combined momentum of the two after the collision.

Final momentum equals initial momentum

75 kg at 0 m/s and 0.105 kg at 24 m/s equals 0.105 kg at v and 75 kg at v.

where v represents the goalie's final velocity.

calculating v:

(0.0105 kg + 75 kg)  v = 24 kg m/s

v = 0.105 kg + 75 kg / 24 kg m/s

v = 0.24 m/s

As a result, the goalie slides on the ice at a 0.24 m/s speed.

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g (a) you ride your bike along a straight road for a distance d at a constant speed of 11.0 mi/hr and then for another distance 2d along the same straight road at a different constant speed. the average speed for the total trip is 13.0 mi/hr. determine your constant speed during the second part of the trip. (enter your answer to at least two decimal places.)

Answers

You ride your bike along a straight road for a distance d at a constant speed. The constant speed during the second part of the trip was 28.6 mi/hr.

Let's call the constant speed during the second part of the trip v. To find v, we need to use the equation for average speed:

Average speed = Total distance / Total time

We know the average speed for the entire trip and the distance traveled during the second part of the trip, so we can write:

13.0 mi/hr = (d + 2d) / Total time

13.0 mi/hr = 3d / Total time

We also know the time it took to travel the first part of the trip, which was at a constant speed of 11.0 mi/hr:

Time for first part = d / 11.0 mi/hr

So, the total time for the entire trip is:

Total time = d / 11.0 mi/hr + 2d / v

We can substitute the expression for average speed and the value of d we found earlier into this equation:

13.0 mi/hr = 3d / (d / 11.0 mi/hr + 2d / v)

13.0 mi/hr * (d / 11.0 mi/hr + 2d / v) = 3d

13.0 mi/hr * d / 11.0 mi/hr + 13.0 mi/hr * 2d / v = 3d

13.0 * d + 26.0 * 2d / v = 33.0 * d / 11.0

26.0 / v = 33.0 / 11.0 - 13.0

26.0 / v = 10.0 / 11.0

v = 26.0 / (10.0 / 11.0) = 26.0 * 11.0 / 10.0 = 28.6 mi/hr

So the constant speed during the second part of the trip was 28.6 mi/hr.

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is there any location along the line between them where the electric field magnitude is zero? if so, what is the distance from the particle carrying q to that location?

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No, the electric field magnitude is zero only at the midpoint between the two charges, i.e. at a distance of d/2.

In order to determine the location of the electric field zero, we set the electric fields for each point charge to be equal to one another because that is the point at which they will cancel one another out. The electric potential does not necessarily equal zero just because the electric field is zero at a certain location.

The situation of two similar charges that are spread apart is an excellent example. Even when the electric field is not zero at a given point, the electric potential can nonetheless be zero there. Because it is 0 at a point inside the solid body of the conductor, the electric field caused by induced charges at the sphere's centre is zero.

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one of the great triumphs of spectroscopy was when astronomers identified a new element in the sun (one that was only later found on earth). today, this element is called: a. solarium b. einsteinium c. helium d. astronomium e. hydrogen

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Using, spectroscopy, astronomers identified a new element in the sun (one that was only later found on earth). today, this element is called helium.

Because it revealed that the sun was made of substances that were absent from the Earth, the discovery of helium in the sun is regarded as one of the greatest achievements of spectroscopy. This proved that the sun is not constructed of the same materials as the Earth, which was a major accomplishment in the area of astronomy.

French astronomer Jules Janssen and British astronomer Joseph Norman Lockyer made the discovery of helium in the sun in 1868. They noticed a yellow spectral line in the sun's spectrum that had no known Earthly chemical explanation. They came to the conclusion that a new element, which they dubbed helium after the Greek word for the sun, "helios," was responsible for producing this line.

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A box (20 kg) is moving at 2.0 m/s as it slides across a level floor. It slides for 4.0 m as it comes to a complete stop. What is the average force of friction on the box as it slides?

Answers

Answer:

The average force of friction on the box is 10 Newtons.

Explanation:

Attached are pictures of my work. For some reason Brainly said there was inappropriate text. Hope this helps!

at a particular instant in time the earth is judged to be 92,955,000 miles from the sun. what is the distance in kilometers to four significant figures? (see back inside cover for conversion factor).

Answers

The distance in kilometers to four significant figures is : (b) 1.496*108 km.

How to you convert miles to kilometer?

The distance in kilometers is calculated by multiplying distance in miles by 1.609344. Conversion ratio that is utilized in the formula is 1.609344 kilometers because one mile equals 1.609344 kilometers

To convert miles to kilometers, we use the conversion factor 1 mile = 1.60934 kilometers.

So, the distance in kilometers can be calculated as follows:

d (km) = d (miles) * 1.60934

d (km) = 92,955,000 miles * 1.60934 km/mile = 149,597,871.002 km

Rounding to four significant figures:

d (km) = 149,600,000 km= 1.496*108 km.

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Note: The question given on the portal is incomplete. Here is the complete question.

Question: At a particular instant in time, the Earth is judged to be 92,955,000 miles from the Sun. What is the distance in kilometers to four significant figures? (See the back inside cover for the conversion factor).

(a) 5763*104 km

(b) 1.496*108 km

(c) 1.49596*108 km

(d) 1.483*104 km

(e) 57,759,000 km

Since sound travels faster through things that have more particles, can you tell how much particles there are in a solid by seeing how much sound is transmitted through?

Answers

It is not possible to directly determine the number of particles based on the speed of sound alone.

What determines the speed of sound through materials?

The speed of sound through a solid is determined by the density and elastic properties of the material, and not directly by the number of particles.

However, the number of particles can affect the density and elastic properties, which in turn affect the speed of sound.

So, it is possible to use the speed of sound to make inferences about the density and elastic properties of a solid, but it is not possible to directly determine the number of particles based on the speed of sound alone.

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Which method would be the best way of producing a plant similar to the one you already have explain 

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Answer:

whats your way  (look at Explanation)

Explanation:

The best method for producing a plant similar to the one you already have will depend on the specific plant and the desired outcome. Here are some common methods of plant propagation:

Seeds: This is the most traditional and natural method of propagating plants. The seeds can be collected from the parent plant, or purchased from a reputable source, and then planted in soil or another growing medium.

Cuttings: Cuttings are pieces of stem or leaf taken from the parent plant and used to grow a new plant. This method is often used for plants that are difficult to propagate from seeds, or for plants that have special qualities (such as a particular color or texture) that the grower wants to preserve.

Layering: This is a method in which a stem is bent to the ground and rooted in soil, while still attached to the parent plant. The rooted stem can then be separated from the parent plant and grown as a new plant.

Grafting: Grafting involves taking a cutting from one plant (the scion) and joining it to the rootstock of another plant. This allows the grower to combine the desirable qualities of both plants into a single plant.

Tissue Culture: Tissue culture involves taking a small piece of tissue from the parent plant and growing it in a sterile, nutrient-rich environment. This method is often used for plants that are difficult to propagate through other means, and can also be used to produce a large number of identical plants.

The best method will depend on the specific requirements of the plant and the desired outcome. Some plants may respond better to one method over others, so it's important to do some research and choose the method that is best suited for your plant.

if we triple the temperature and double the volume, what would the new pressure of the system be?

Answers

The pressure will increase by 3/2, or 50% when the volume is doubled and the temperature is tripled.

When the temperature is tripled, what happens to the pressure?

The pressure rises as the Kelvin temperature rises. The relationship between the two amounts is direct proportionality. The pressure of the gas will triple when the Kelvin temperature is tripled.

How does volume change when it is doubled?

So, doubling the volume will be equivalent to reducing the pressure. If you apply reasoning to it, this also makes sense. Gas will spend less time pressing against the container walls if it has more room to move around in.

How does rising temperature affect pressure?

The average kinetic energy and the velocity of the gas particles striking the container walls both rise as the temperature rises. As the temperature rises, the pressure must as well since pressure is the force the particles per unit of area exert on the container.

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what is the only way that entropy can decrease in a system?

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The entropy of a system decreases only when it interacts with some other system whose entropy increases in the process. That is the law.

I hope this helps have an excellent day!

the stored energy available to do work is called ______ energy.

Answers

Answer: Potential energy.

Explanation:

a leaky 10-kg bucket is lifted from the ground to a height of 16 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 48 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 16-m level. find the work done. (use 9.8 m/s2 for g.)

Answers

The required work done in lifting the bucket and the water is W = 424.736 J.

How we calculate the work done from the height of object?

The work done in lifting the bucket and the water can be calculated as:

W = [tex]m_{bucket}[/tex] * g * h + [tex]m_{water}[/tex] * g * h

where m_bucket is the mass of the bucket, m_water is the initial mass of water in the bucket, g is the acceleration due to gravity (9.8 m/s^2), and h is the height lifted (16 m).

However, since the water is leaking, the mass of water decreases over time. The final mass of water can be calculated as m_water = m_initial - kt, where k is the constant rate of leakage and t is the time taken to lift the bucket.

So, the work done can be expressed as:

W = [tex]m_{bucket}[/tex] * g * h + ([tex]m_{initial}[/tex] - kt) * g * h

W = (m_bucket + [tex]m_{initial}[/tex] - kt) * g * h

W = (10 + 48 - k * h / g) * 9.8 * 16

Since the water finishes draining just as the bucket reaches the 16-m level, we know that k * h / g = 48, so k = 48 * g / h = 48 * 9.8 / 16 = 30.06 kg/s.

Finally, the work done can be calculated as:

W = (10 + 48 - 30.06 * 16 / 9.8) * 9.8 * 16

W = 10 * 9.8 * 16 + 48 * 9.8 * 16 - 30.06 * 16 * 9.8

W = 158.4 + 754.4 - 488.064

W = 424.736 J

So the work done in lifting the 10-kg bucket with 48 kg of water to a height of 16 m at a constant speed with a rope that weighs 0.7 kg/m is 424.736 J.

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what is the black hole at the center of the milky way called

Answers

The Sagittarius A black hole, which is located near the Milky Way's center, made the statement.

Why is it called the Milky Way?

A Greek tale about the milk-sprinkling goddess Hera gave rise to the name of the Milky Way. Our galaxy has numerous names in those other areas of the globe. It is known as the "Silver River" in China and the "Backbone of Night" in the Kalahari of southern Africa.

Where is Earth in the Milky Way?

The Milky Way's Orion Arm, which is around two-thirds of the galaxy's distance from the galaxy's core, is where Earth is situated. Here, we are one of the eight planets that make up the Solar System.

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an piece of space debris is released from rest at an altitude that is two earth radii from the center of the earth. compared to its weight on earth, the weight of this debris is

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Piece of space debris is released from rest at an altitude that is two earth radii from center of the earth and compared to its weight on earth, weight of this debris is : one-quarter of the weight on surface of the earth.

How is weight related to distance?

Weight of an object depends on mass and the strength of gravitational field it is in. The strength of the gravitational field at a point is proportional to the mass of the object producing the field and inversely proportional to the square of the distance from the center of the object.

At an altitude of two Earth radii from the center of the Earth, the strength of the gravitational field is weaker than it is at the surface of the Earth. Hence, the weight of the space debris at this altitude will be less than its weight on Earth.

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a person went for a walk. they walked north 6 km at 6 km/h and then west 10 km at 5 km/h. the direction of the displacement of their entire trip (west of north) is

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When a person walked for 6 km towards the north at 6 km/h and then for 10 km west at 5 km/h, their total displacement travelled (west of the north) is 11.66 km in a north westerly direction.

Given the distance a parson walked towards north (d1) = 6km

The speed towards north (v1) = 6km/h

The distance person walked towards west (d2) = 10km.

The speed towards west (v2) = 5km/h

The displacement will be the shortest distance covered such that it is the resultant of these two distances.

Then displacement = √d1^2 + d2^2 = √6^2 + 10^2 = √136

The required displacement a person walked is 11.66km towards

north-west.

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a charge of 8.65 mc m c is placed at each corner of a square 0.240 m m on a side. part a determine the magnitude of the force on each charge. express your answer to three significant figures and include the appropriate units.

Answers

(a) The magnitude of the force on each charge = 5.05 x 10⁶ N

(b) Directions of the force = along the line between the charge and the center of the square outward of the center (option 4)

Units of mass times length over time squared are used to express the strength of a force. The most used unit in metric measurements is the newton (N), which is equal to one kilogram times one meter over one second squared. This means that an item weighing one kilogram would accelerate at a rate of one meter per second squared in response to a one newton force. The pound (lb), which is the most widely used unit in English, is equal to one slug times a foot over a second squared. This means that an item having a mass of one slug would accelerate at a velocity of one foot per second squared in response to a one pound force.

Use the equation:

F net = 2 F cos(45) + F1

= 2cos(45) k q²/a²+ k q²/d²

Where,

q = the charge= 8.65 mC

d = diagonal= √2 (0.240) = 0.339

F is the force due to adjacent particle

F1 is the force due to diagonal particle

Hence,

F net = (9 x 10⁹) (0.00865)² (2 cos 45 / (0.339)²

= 5.05 x 10⁶ N

(b) the direction of the force is along the line between the charge and the center of the square outward of the center

The question is incomplete, it should be:

a charge of 8.65 mc m c is placed at each corner of a square 0.240 m m on a side. part a determine the magnitude of the force on each charge. express your answer to three significant figures and include the appropriate units.

1. along the line between the charge and the center of the square outward of the center

2. along the line between the charge and the center of the square toward the center

3. along the side of the square toward the other charge that lies on the side

4. along the side of the square outward of the other charge that lies on the side

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a parallel-plate capacitor, with plate area a and separation d, has a capacitance of c when the space between the plates is filled with air. then the space between the plates is half filled with a dielectric material with as shown below. what is the new capacitance?

Answers

The new capacitance of a parallel-plate capacitor filled partially with a dielectric material is given by C' = C * k, where C is the original capacitance and k is the relative permittivity of the dielectric material.

When a dielectric material is introduced between the plates of a parallel-plate capacitor, the capacitance increases. The relative permittivity represents how much the material can increase the electric field between the plates compared to air. For example, if k = 2, the capacitance doubles.

The new capacitance will depend on the specific dielectric material used and the value of k for that material. It is important to note that the plate area and separation distance remain constant in this scenario.

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as the two foci of an ellipse are brought together, the shape of the ellipse becomes

Answers

An ellipse takes on a more circular appearance as its two foci are drawn together.

What is the best definition of an ellipse?

An ellipse is a closed curve made up of points whose distances from two fixed points (foci) total up to the same amount. The centre is where the foci meet in the middle. One characteristic of an ellipse is that a line from one focus will reflect off its boundary and pass through another. A plane can curve into an ellipse when it crosses a cone at an angle to its base. It is a curve with two focal points surrounding it. Ellipse is a collection of points with constant sum of their separations from two foci.

What is the application of ellipse?

In physics, astronomy, and engineering, ellipses are frequently used. For instance, the Sun is at one focus point in the orbit of each planet in the Solar System, which is about an ellipse (more precisely, the focus is the barycenter of the Sun–planet pair). For two fundamental reasons, ellipses are necessary for engineering, architectural, or machine designs. First, any circle will seem to be a ellipse when viewed from an angle. Second, ellipses were frequently used in windows, ceilings, and stairways as well as other architectural features.

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how much more heat per second is the pot radiating when hot compared to when the pot is at room temperature?

Answers

The heat radiating out of the pot will be increased by a factor of 16 when compared to the room temperature.

The quantity of heat transported is related to the temperature differential between the objects as well as the object's heat capacity. The heat capacity is a constant that indicates how much heat is added with each unit temperature rise.

The Stefan-Boltzmann equation of radiation governs the rate of heat transfer by emitted radiation.

q = σT⁴A

where q is the amount of heat radiated per second, σ is the Stefan-Boltzmann Constant, T is the absolute temperature, and A is the surface area.

When the absolute temperature doubles, q grows by a factor of 2⁴ = 16.

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Complete question - A clay pot at room temperature is placed in a kiln, and the pot\'s temperature doubles. how much more heat per second is the pot radiating when hot compared to when cool?

the two man-headed bulls facing each other that are symmetrical on either side of the central figure are in what type of composition?

Answers

symmetrical compositions on either side of a central figure are known as heraldic compositions, and they were typical of ancient Sumerian art.

What are heraldic compositions?

Heraldry is the term for the art and science of creating, presenting, and bestowing armorial insignia as well as tracking and documenting genealogies. In the 13th century, European nobles began to utilize heraldic symbols, or "coats of arms," as a way of identifying.

heraldic design: A heraldic composition, which was a feature of Sumerian art at the period, is a composition that is symmetrical on either side of a central figure.

The art of making a coat of arms is called heraldic composition. Creating a distinctive emblem that represents a family, individual, group, or nation includes fusing symbols, colors, and designs. This kind of art has a long history that dates back to the Middle Ages when wealthy families and knights used coats of arms to differentiate themselves.

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an object is 17.3 cm from the surface of a reflective spherical christmas-tree ornament 3.01 cm in radius. what is the apparent position of the image? answer in units of cm. answer in units of cm.

Answers

The apparent position of the image is -48.91 cm from the surface of the mirror.

The apparent position of the image can be found by using the mirror formula:

1/f = 1/d + 1/d'

Where f is the focal length of the spherical mirror, d is the object distance, and d' is the image distance.

Since the mirror is a sphere, the focal length is equal to the radius, so f = 3.01 cm.

Substituting the given values, we get:

1/3.01 = 1/17.3 + 1/d'

Solving for d', we find that:

d' = -48.91 cm

Since d' is negative, the image is virtual, erect, and located behind the mirror. The apparent position of the image is -48.91 cm from the mirror's surface.

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a fixed system of charges exerts a force of magnitude 9.0 n on a 3.0 c charge. the 3.0 c charge is replaced with a 4.0 c charge. what is the exact magnitude of the force (in n) exerted by the system of charges on the 4.0 c charge? do not include units with your answer.

Answers

The required magnitude of the force exerted by the system of charges on the 4 C charge is calculated to be 12 N.

Magnitude of force is given as 9 N.

Initial charge = 3 C

It is then replaced by 4 C.

The magnitude of the force exerted by the system of charges on the 4 C charge is to be calculated.

We know that, electric field is given by the formula, E = F/q

Placing the values,

E = F/q = 9/3 = 3 N/C.

Now, the charge is 4 C.

The electric field remains the same. Then,

F = 3 × 4 = 12 N

Thus, the exact magnitude of the force exerted by the system of charges on the 4 C charge is 12 N.

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what is the maximum speed you could have and still not hit the deer? express your answer with the appropriate units. view available hint(s)

Answers

(a) The distance between you and the deer (you’re driving down the highway late one night at 20 m/s, when a deer steps onto the road 44 m in front of you) when you come to stop = 14 m.

(b) The maximum speed you could have and still not hit the deer = 25.80 m/s

How to determine the distance?

The distance covered before to applying the brake = (20 x 0.5)

= 10 m

(v1² - v0²) = 2as

Where:

s = distance (m)

v = velocity

a = acceleration due to gravity (10 m/s²)

s = (0² - 20²) / (2 x 10)

= 20 m

(a) The distance between you and the deer:

44 - 30 = 14 m

So, the deer won't be struck by the car.

(b)

The maximum speed:

(v1² - v0²) = 2as

v1² = v0² - 2as

= (0² - (2 x (-10) x (44 - 0.5v0)

= 880 - 10 v0

v0 = 25.80 m/s

The question is incomplete, it should be:

You're driving down the highway late one night at 20 m/s when a deer steps onto the road 44 m in front of you. Your reaction time before stepping on the brakes is 0.50 s, and the maximum deceleration of your car is 10 m/s2.

Part A

How much distance is between you and the deer when you come to a stop?

Part B

What is the maximum speed you could have and still not hit the deer?

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to determine an athlete's body fat, she is weighed first in air and then again while she's completely underwater. it is found that she weighs 690 n when weighed in air and 38.0 n when weighed underwater. what is her average density? express your answer with the appropriate units.

Answers

The athlete's average density is 1.06 kg/L.

From the question, we're given this information:

Weight in air = 690 NWeight underwater = 38 N

The buoyant force is 690 - 38 = 652 N

We can calculate the mass of water that is displaced using the formula
  F = m * g

m = massg = acceleration due to gravity (on Earth it's 9.8 m/s²)

  m of water displaced = 652 / 9.8 = 66.53 kg

Assuming a water density is the usual 1 kg/L, we can use the formula
  V = mass / density

V = volume

  V of water displaced = 66.53 / 1 = 66.53 L

Therefore, the V of athlete is also 66.53 L

Then, we can calculate the athlete's mass using F = m * g

  690 = m * 9.8

  m = 690 / 9.8 = 70.41 kg

From here, since we already know the athlete's mass and volume, we can calculate her average density

Average density = 70.41 / 66.53

  = 1.06 kg/L

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what is a noticeably different form or state of the same substance?

Answers

Phase is a noticeably different form or state of the same substance. Plasma is one of the four states of matter that can be found in everyday life in addition to solids, liquids, and gases.

What is a material's state?

These four states of matter—solids, liquids, gases, and plasma—can all be encountered in daily life. Nevertheless, a variety of other states of matter have been discovered. When a substance switches between two states of matter without actually displaying the traits of either state, some of these new states are generated.

Matter can shift states when energy is introduced into or removed from a system. Usually, temperature or pressure fluctuations are the sources of this energy. When matter changes states, phase transitions or phase alterations take place. A phase is a material's visibly changed form or state.

What do you mean when you say that a material has changed states?

Solid from to. Gas to Liquid A substance changing from one physical form to another is known as a change of state. Physical changes are the basis of all state changes. Depending on the state of the substance, the particles have varying energies.

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a rock at rest is dropped from the rooftop of a tall building. the acceleration of the rock is around 10 m/s2 downwards. the distance fallen by the rock during a 1 second time interval is

Answers

If a rock at rest is dropped from the rooftop of a tall building, with the acceleration of the rock is around 10 m/s2 downwards, the distance fallen by the rock during a 1 second time interval is 5 meters.

How to calculate free falling object?

In free fall, an object moves under the influence of gravitational force only. The only acceleration is the acceleration of gravity. Without influenced of air resistance, object in free fall will keep accelerating by 9.81 m/s2 or 10 m/s2.

To calculate the distance traveled by falling object, which is the velocity is equal to zero, and the time is 1 second, the formula used is :

[tex]h = \frac{1}{2}gt^{2}[/tex] = [tex]\frac{1}{2}[/tex] x 10 x [tex]1^{2}[/tex] = 5 meters

Thus, the distance fallen by the rock is 5 meters.

Through this formula, we could know that the distance does not depend on the mass of the falling object. 

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