a gymnast is performing a floor routine. in a tumbling run she spins through the air, increasing her angular velocity from 3.00 to 5.00 rev/s while rotating through one-half of a revolution. how much time does this maneuver take?

The charge is equal to the Q= 1.3×10^-4 c. Electric charge is the property of matter that causes it to experience a force when subjected to an electromagnetic field.

In science, "force" refers to a certain concept. At this point, describing a force as a push or a draw is quite acceptable. It's incorrect to say that a thing "has in it" or "contains" the force. A force is experienced by one thing from another. The concept of a force makes no distinction between living creatures and inanimate objects.

Coulomb's inverse-square law, also referred to as Coulomb's law, is an experimental scientific concept that calculates the force between two stationary electrically charged particles. The electric force that exists between two charged objects at rest is known by the terms electrostatic force and Coulomb force.

F = (k ×Q1× Q2)/r^2

F = 300 N

r = 20 m

k = 8.987× 10^8 Nm^2/c^2

given Q1 =Q2 = Q

300= (8.987× 10^8× 2Q)/400

Q= 1.3×10^-4 c

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The energy absorbed by a 72 -kg patient, assuming one-quarter of the patient's body is exposed to the X-rays is found to be 7.38 x 10^-4 J.

The amount of energy that is deposited in tissue as a result of exposure to ionising radiation is known as the absorbed dose and is measured in joules (J) per kilogramme (kg). The effective dose, which is a weighted average of the equivalent dosage to each organ depending on its radiosensitivity, can be used to quantify the population's risk of stochastic consequences owing to radiation exposure.

RBE = 0.85.

radiation dosage = 35 mrem = 35 x 10^-6 rem.

Absorbed dose => dose / RBE;

                          => 35 x 10^-6/ 0.85

                          => 4.1 x 10^-5 J/Kg

Mass => 1/4 x 72Kg => 18Kg

hence, absorbed dose => 4.1 x 10^-5 J/Kg x 18Kg

                                       => 7.38 x 10^-4 J

Energy that emanates from a source and moves through space at the speed of light is referred to as radiation. In addition to having wave-like attributes, this energy is enclosed by an electric field and a magnetic field. Radiation might also be alluded to as "electromagnetic waves."

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Answer:

Explanation:

it is 20 seconds

Determine the power provided to the body by replacing the values of potential & current with in expression of power, then determine the heat transfer by replacing  values of power and time in the language of energy.

Energy formula: What is it?

Albert Einstein came up with the equation, generally written as E = mc2, which states that if a body's energy changes by such an amount E (in any form), its mass (m) changes by an equivalent amount to E/c2.

What are energy and its measure?

The capacity to perform work is referred to as energy. A body's capacity for energy is determined by how much work it can accomplish when it is released. A scalar quantity, energy. The SI unit for energy is called a joule. One joule of energy is the amount of energy needed to perform one joule of work.

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The ideal banking angle for a gentle turn of 1.90 km radius on a highway with a 105 km/h speed limit (about 65 mi/h) should be around 2.62 degrees.

What is banking angle?

Banking angle is an angle of a banked turn or curve on a road, track, or other surface. It is the angle at which the inside edge of the curve is raised above the surface, allowing the vehicle to turn more safely.

Banking angle is important to ensure vehicles can maintain traction while turning, as it helps to reduce the effect of centrifugal force on the vehicle and its passengers. Banking angle is also used to reduce the effects of gravity, which can cause the vehicle to lose control in a turn. Banking angle can range from 0° for a flat surface to a maximum of 60° for high speed curves.

105 km/h = 29.2 m/s

1.90 km = 1900 m

Ideal banking angle is given by

tan θ = v²/rg

tan θ = (29.2)²/(1900)(9.8)

tan θ = 0.045792

θ = tan⁻¹( 0.045792)

θ = 2.62°

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There is no heat transmission during an adiabatic process. In an adiabatic process, the link between work as well as the change in interior energy is known as work done.

Physics' definition of work makes clear how it is related to energy: anytime work is performed, energy is transferred. Work is the result of the portion of the force acting in the displacement's direction and its magnitude.

Calculation

In the case of an adiabatic process heat transfer is zero ( Q = 0 ), so internal energy is equal to the Work done.

According to the 1st law of Thermodynamics;

Q= ΔU + W

In an adiabatic process: Q= 0

So,

ΔU= -W

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If a marble is launched at a speed of 9 m/s at an angle of 25° above the horizontal. If the experiment is done on a level floor, then The distance that  the  marble will  land if friction is neglected is: C. 6.33 m.

Given data:

Speed = 9m/s

Angle = 25°

Now let find the  distance the  marble will  land if friction is neglected

Range = v²  sin(25 × 2)/g

Range = (9 m/s)² × sin 50 / g

Range =(81 m/s²  × 0.766044) / 9.8 m/s²

Range = 62.049564 m/s² / 9.8 m/s²

Range = 6.3315m

Range = 6.332 m (Approximately)

Therefore we can conclude that the correct option is C.

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The work done against friction produces an increase in the object's internal energy or heat.

When the work is done, energy will also have been transferred to the item, which will cause it to move at a new, constant speed. The mass and achieved speed influence the quantity of kinetic energy that is transferred. Kinetic energy is transferable between objects and can transform into other forms of energy.

According to the work-energy theorem, the amount of work that an external force does on a system is equal to the total of the changes in the system's kinetic and potential energies. W = ΔEm in mathematics.

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Answer: internal energy

Explanation: it is

Answer:

Therefore, the change in gravitational potential energy stored is 8 Joules (J).

The height above the earth where the acceleration due to gravity is 35.0% of its value at the surface is approximately 2.15 times the radius of the earth (or about 15,700km).

The acceleration due to gravity is directly proportional to the distance from the earth's center of mass. As the distance increases, the gravitational force acting on an object decreases, resulting in a lower acceleration due to gravity. This relationship is determined by the inverse-square law, which states that the gravitational force is inversely proportional to the square of the distance from the earth's center of mass. Therefore, as the distance from the earth's center of mass increases, the acceleration due to gravity decreases. This is why objects at higher altitudes experience a weaker gravitational pull than those at sea level.

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The Doppler red shift of light observed from faraway stars and galaxies gives evidence that the universe is expanding. This permits for Big Bang Theory, because after a bang occurs all of the matter moves away from the point of origin.

Two major scientific discoveries that support the Big Bang theory are Hubble's discovery in the 1920s of a relationship between a galaxy's distance from Earth and its speed and in 1960s the discovery of cosmic microwave background radiation.

Redshift and blueshift are used by astronomers to work out how far an object is from Earth.

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According to the question: The lamp should be placed 11 cm from the mirror.

Mirror is an object which reflects light in such a way that images of nearby objects are visible. It is a surface which can reflect light in an exact way. Mirrors are used for various purposes like for making up, for decorating a room, for security purposes, and also for various scientific experiments. Mirrors are usually made up of two pieces of glass which are either flat or curved with a reflective coating on one side.

This coating is usually made up of metal, such as silver, and is highly reflective. Mirrors can also be made up of other materials such as plastic and other metals. By reflecting light, mirrors can help to create illusions and also create an optical illusion.

This is because the distance between the mirror and the lamp should be equal to the sum of the focal length of the mirror (15 cm) and the distance between the patient and the mirror (1.0 m). Therefore, the distance between the mirror and the lamp should be 1.0 + 15/100 = 2.15 m.

Use the thin lens equation to solve this

(1/s)+(1/s prime)=(1/f)

You are looking for the s value, which is the lamps distance from the mirror. s prime is the distance to the patient, and f is 10 cm.

(1/s)+(1/1.1)= (1/0.1)

= 11.000001 cm

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An increase in your mass would decrease your acceleration. Therefore, option (B) is correct.

Acceleration is the rate of change of velocity, and it is calculated as the change in velocity divided by the change in time. It is directly proportional to the force applied and inversely proportional to the mass. According to Newton's second law of motion, the force applied to an object is equal to the mass of the object multiplied by its acceleration (F = ma).

Therefore, if the mass of an object increases, the force required to accelerate it also increases and the acceleration decreases. However, an increase in speed is not directly related to acceleration, if you are already at a steady state (constant velocity) an increase in speed won't affect acceleration. Also a decrease in mass will increase acceleration.

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Given that there are no obstacles in its path and it is free to move, we understand that the light in this situation moves at the speed of refraction index, which in this instance is n = 1.5. That period of time corresponds to the distance a brief pulse of light must travel to cross the glass from one end to the other.

In physics, refraction is the direction change brought on by a wave's speed change as it passes through one medium and enters another.

When light strikes a material on a plane, it reflects, or returns. Light bends as a result of refraction, which is the process through which light's path changes when it passes through a substance. As a result, this is the primary distinction between the two. Usually, mirrors experience this effect.

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True. Work occurs when an applied force results in movement of an object in the same direction as the applied force.

Force is an external influence that changes the motion, direction, shape, or energy of an object. Force can be described as a push or a pull and typically has both magnitude and direction. Force is a vector quantity meaning it has both magnitude and direction. Examples of forces include gravity, friction, tension, and electromagnetic forces. Gravity is the force that pulls objects towards the center of the Earth.

This is because work is the amount of energy transferred from one object to another due to the application of a force. The energy present is the result of the force acting on the object and the movement of the object is caused by the force in the same direction as the force.

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Ashley and Miranda slide across the snow together on the inner tube at a velocity of 3.27 m/s.

Velocity is the speed of an object in a particular direction. It describes the rate of change in position of an object, and is a vector quantity that includes both magnitude and direction.

To calculate the combined velocity of Ashley and Miranda, we need to use the equation for momentum. Momentum is equal to mass times velocity, so the equation is P = mv, where m is mass and v is velocity.
We can solve this equation for their combined velocity by adding the momentum of each person. Ashley has a mass of 53 kg and a velocity of 2.1 m/s, so her momentum is mv = 53 x 2.1 = 111.3 kg m/s. Miranda has a mass of 68 kg and a velocity of 4.2 m/s, so her momentum is mv = 68 x 4.2 = 284.6 kg m/s. Add these two momentums together to get the combined momentum of 395.9 kg m/s.
To find the velocity of the two combined on the inner tube, we can divide the combined momentum by the combined mass. The combined mass is 53 kg + 68 kg = 121 kg. Divide the combined momentum of 395.9 kg m/s by the combined mass of 121 kg to get the combined velocity of 3.27 m/s.
Therefore, Ashley and Miranda slide across the snow together on the inner tube at a velocity of 3.27 m/s.

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On the planet, the gravitational acceleration is 10.06 m/s2.

The driving force between two bodies is gravity. However, gravity is the force that exists between a thing and the enormous object known as the earth. The force of gravity also shows that it is directly inversely proportional to the sum of the masses of the two objects.

The term gravitational pull refers to the force that the earth exerts on a body. Some examples of motion caused by gravitational force are the downward motion of water in a river, the downward motion of a ball thrown into the air, and the downward motion of the leaves and fruits of a tree as they fall to the earth.

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The magnitude of acceleration due to gravity on the planet is 3 m/s^2.

The acceleration of an object in free fall within a vacuum is known as gravitational acceleration.

This is the constant acceleration brought on solely by the gravitational pull.

The acceleration due to gravity on a planet can be determined using the equation:

a = dv/dt

where a is the acceleration, dv is the change in velocity (in this case, the final velocity is the velocity at the end of the first second, which is the velocity at the end of the 3 meters fall) and dt is the change in time (in this case, 1 second).

Given,

the object is falling freely, the acceleration is equal to the acceleration due to gravity.

The velocity at the end of the first second can be calculated by using the equation:

v = d/t

where v is velocity, d is distance and t is time.

Therefore, substituting in the given values:

v = d/t = 3m/1s = 3m/s

Now we can substitute it in the first equation,

a = dv/dt = 3m/s /1s = 3 m/s^2

The magnitude of acceleration due to gravity on the planet is 3 m/s^2.

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Answer:

Writing Electron Configurations. When writing an electron configuration, first write the energy level (the period), then the subshell to be filled and the superscript, which is the number of electrons in that subshell. The total number of electrons is the atomic number, Z

The work needed to extend its far is 80.

When an object is moved over a distance by an external force, at least a portion of that force must be applied in the direction of the displacement.

This is known as work in physics. By multiplying the length of the path by the component of the force acting along the path, work can be calculated if the force is constant.

The work W is equal to the force f times the distance d, or W = fd, to mathematically describe this idea. The work is W = fd cos if the force is applied at an angle of to the displacement.

Therefore, The work needed to extend its far is 80.

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Answer:

F = - K X      describes the restoring force for SHM

The restoring force is proportional to "displacement"

According to the question, The change in sea level due to tides which are primarily the result of the Earth's rotation and Moon's revolution.

Ocean waves called tides go great distances. They result from the earth's gravitational pull from the moon and, to a slightly lesser degree, the sun. A shore encounters a tide when the wave's highest point, or the topping, reaches it.

Tides are extremely long-period waves that travel across the water as a result of the moon's and the sun's gravitational pull. The rise and decline of the sea's surface on a regular basis is what tides, which originate in the ocean, appear as as they move toward the coastlines.

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The velocity of the boat after both boys jump is -6.46 m/s. The velocity is negative, which means the boat is moving backwards after both of the boys jumps.

Speed is the rate at which an object travels along a path over time, whereas velocity is the speed and direction of an item's motion. In other words, speed is a scalar value, but velocity is a vector.

We can use the principle of conservation of momentum,

In this case, the closed system is the boat and the two boys. Before they jump, the total momentum of the system is the momentum of the boat (mass * velocity). After they jump, the total momentum of the system is the momentum of the boat plus the momentum of Keith plus the momentum of Nate.

The initial momentum of the boat is 100 kg * 3 m/s = 300 kgm/s

The momentum of Keith as he jumps off the boat is 65 kg * 2 m/s = 130 kgm/s

The momentum of Nate as he jumps off the boat is 68 kg * 4 m/s = 272 kg*m/s

The total momentum of the system before the boys jump is 300 kgm/s

The total momentum of the system after the boys jump is 300 kgm/s + 130 kgm/s + 272 kgm/s = 702 kg*m/s

So, we can set the initial momentum equal to the final momentum:

300 kg*m/s = 100 kg * vf + 130 kg * 2 m/s + 272 kg * 4 m/s

where vf is the final velocity of the boat.

Solving for vf,

vf = (702 kgm/s - 130 kg * 2 m/s - 272 kg * 4 m/s) / 100 kg

vf = (702 - 260 - 1088) kgm/s / 100 kg

vf = -646 kg*m/s / 100 kg

vf = -6.46 m/s

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The number of feet in the path traced by the inside front wheel in one trip around the circle is Kπ, where K = 12 is an integer.

C=πd or C=2πr are two formulas that can be used to determine a circle's circumference. We can enter the numbers for the circle's diameter, which is 8 cm, and an approximate value for pi, which is 3.14, into the formula C=πd. The equation changes to C=(3.14)(8), which equals 25.12.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from the "center" of the circle. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.

Radius of outside wheel = (r + 6) because the inside wheel is 6 feet apart from the outside wheel.

The inside wheels are rotating at half speed as compared to that of outside wheels,

⇒ 2×Circumference of inside wheel = Circumference of outside wheel

⇒ 2×(2π·r) = 2π × (r+6)

⇒ 2π· r = π· r + 6·π

⇒ π·r = 6·π

⇒ r = 6

The total path traced by the inside front wheel in one trip around the circle = 2π·r

= 2π × 6

= 12·π

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Answer:

Explanation:

In order to answer this question, we need to first calculate the amount of work required to pull the basket of fruit 2.5 M in 180 seconds. This can be done by multiplying the power (10 W) by the time (180 seconds):

Work = 10 W x 180 s = 1800 J

Now, we can calculate the force required to do this work in 180 seconds by dividing the work (1800 J) by the distance (2.5 M):

Force = 1800 J / 2.5 M = 720 N

Therefore, 720 Newtons of force are required to pull a basket of fruit 2.5 M in 180 seconds using a 10 W of power.

Over a scale at a weight station, a truck is moving. The scale reads 5800 n when the front displacement wheels cross it; 3.20 meters separate the front and rear wheels when the rear wheels cross the scale.

What does physics mean by displacement?

The term "displacement" refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. It looks like an arrow that leads from the beginning position to the ending place.

What is referred to as displacement?

When an atom or group of atoms in a molecule are replaced by another atom, this is referred to as a displacement reaction. For instance, iron replaces copper in a copper sulphate solution when it is introduced.

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Capture of small planetesimals is the origin of almost all the large moons around the jovian planets.

Origin is the place of beginning or coming into being. It is the point from which something starts or is derived. Origin is often associated with the source from which something is derived, such as the origin of a river. It is also used to refer to a person's ancestry, background, or place of birth. Additionally, origin may refer to the cause of something, such as the origin of a disease.

The leading theory of the origin of almost all the large moons around the jovian planets is the capture of small planetesimals. This theory suggests that the large moons were formed by the gravitational capture of small planetesimals by the jovian planets. The planetesimals, which were probably debris left over from the formation of the solar system, became trapped by the gravitational pull of the jovian planet, and then coalesced over time to form larger moons. This theory is supported by the fact that the orbits of the moons around the jovian planets are not aligned with the planet's rotational axis, which suggests that the moons were not formed from the same material as the planet.

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T (capture) is the origin of almost all the large moons around the jovian planets.

A Jovian planet, also known as a gas giant, is a large planet that is primarily composed of gaseous elements, such as hydrogen and helium. These planets are typically much larger than rocky planets, like Earth, and are typically found farther away from their star. The four largest planets in our solar system, Jupiter, Saturn, Uranus, and Neptune, are considered Jovian planets.

The origin of almost all the large moons around the jovian planets is thought to be through a process called "capture." Capture occurs when a moon or other celestial body becomes gravitationally bound to a planet or other larger body after passing nearby. This process can occur as a result of the gravitational forces of the larger body pulling in the smaller body, or through a collision between the two bodies. This process is believed to be the origin of most of the large moons around Jupiter, Saturn, Uranus, and Neptune.

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The radius of the Earth is 6.37X106 m, the earth's angular speed is 7.27X10-5 radian/s, the angular velocity is positive, the speed of a point on the equator is 463 m/s and the speed of a point on the earth’s surface halfway between the equator and the pole is 231.5 m/s.

Given data as per the question,

Radius of the Earth is 6.37×106m

T is 24 hours= 24X3600 = 86400 seconds.

(A) Angular Speed,

ω= 2π /T

2X3.14/86400 = 7.27 X10-5 radian/s

(B) When viewed from the North Pole, Earth's angular speed rotates in an anticlockwise direction. Therefore, the angular velocity is positive.

(C) The speed (v) of a point on the equator is,

ν= r X ω = 6.37 X 106 X 7.27 X 10-5 = 463 m/s

(D) The speed of a point on the earth’s surface halfway between the equator and the pole is,

ν= r/2 X ω = 463 /2 = 231.5 m/s.

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Option 3 is Correct. When a neutral metal sphere is brought close to a negatively charged rod, an attractive force develops between the two objects.

Given that two metal spheres are in contact with one another and a negatively charged rod is positioned closer to them as shown: Therefore, unbound electrons from the rod will be drawn to the metal spheres.

Both things pick up the same kind of charge while charging through conduction. When a negative object is used to charge a neutral object, both charged items acquire a negative charge. The negatively charged rod must donate electrons to the neutral sphere in order for it to become negative.

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Correct Question:

A negatively charged rod is brought near a neutral metal sphere. Which of the following is true?

1. There is no electric force between the rod and sphere.

2. There is a repulsive force between the rod and sphere.

3.There is an attractive force between the rod and sphere.

The number of protons than electrons is 1.74 x 10^19.

A subatomic particle is the proton. The proton has a positive charge, or +1e elementary charge. The mass of a proton is slightly less than that of a neutron.

The units kg, MeV/c, and u can be used to calculate proton mass (AMU).

The net charge of an object is equal to the number of protons minus the number of electrons.

If the net charge of the piece of plastic is 1.74 coulombs, that means that the number of protons is greater than the number of electrons by 1.74 coulombs.

To find the number of protons or electrons, you would need to know the elementary charge, which is the charge of a proton or electron, which is 1.60 x 10^-19 C.

Therefore, the number of protons - number of electrons = 1.74 C / 1.60 x 10^-19 C/proton = 1.74 x 10^19 protons - electrons.

So, the number of protons than electrons is 1.74 x 10^19.

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