A merry-go-round initially at rest at an amusement park begins to rotate at time t=0 . The angle through which it rotates is described by θ(t)=(π/k)*(t+ke^(−t/k)) , where k is a positive constant, t is in seconds, and θ is in radians. The angular velocity of the merry-go-round at t=T is




Zero



(5/2)kπ



(π/k)*(1−e^(−Tk))



π



2π

Answer:

Kinetic energy is 242.7 Joule

Explanation:

m = 47.4 kg

v = 3.2m/s²

Now,

K.E. = 1/2 × m × v²

or, K.E. = 1/2 × 47.4 × 3.2²

or, K.E. = 242.7 Joule

We have that for the Question "Name the two types of vaporization and explain the difference between them. Give one example of each. ​" it can be said that the types of vaporization are

Here privatization of liquid will only happen at the surface of the liquid exclusion then other sections of the liquid

This is is a phenomenon that occurs throughout the liquid

From the question we are told

Name the two types of vaporization and explain the difference between them. Give one example of each. ​

Generally

There are two types of vaporization , and they are

Here privatization of liquid will only happen at the surface of the liquid exclusion then other sections of the liquid

This is is a phenomenon that occurs throughout the liquid

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The event in the life of a star that begins its expansion into a giant is that almost all the hydrogen in its core that was hot enough for fusion has been turned into helium.

A fusion reaction is defined as the type of nuclear reaction whereby two or more atomic nuclei combine to form a heavier nucleus.

The stars are being transformed into giants through fusion reaction.

A higher amount of hydrogen is found in the core of the star which is being use up in the fusion reaction to form helium.

When the hydrogen in the centre of a star runs out, the star begins to use hydrogen further out from its core. This causes the outer layers of the star to expand and cool.

Therefore, the event in the life of a star that begins its expansion into a giant is that almost all the hydrogen in its core that was hot enough for fusion has been turned into helium.

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Answer:

2 m

Explanation:

The following data were obtained from the question:

Time 1 = 3 s

Time 2 = 3.5 s

Velocity = 4 m/s (constant)

Displacement =?

Next, we shall determine the change in time. This can be obtained as follow:

Time 1 = 3 s

Time 2 = 3.5 s

Change in time = 3.5 – 3

Change in time = 0.5 s

Finally, we shall determine the displacement of the bird between 3 s and 3.5 s as follow:

Velocity = 4 m/s

Time = 0.5 s

Displacement =?

Velocity = Displacement /Time

4 = Displacement /0.5

Cross multiply

Displacement = 4 × 0.5

Displacement = 2 m

Therefore, the displacement of the birth between 3 and 3.5 s is 2 m.

Answer:

same weight

Explanation:

because same

We have to use Newton's Second Law, knowing that the friction force is

Then,

Because the friction force is against the movement.

We know that m = 5kg, F = 75N, friction = 10.

Let's solve for a

The acceleration is 13 meters per square second.

Also, the force acting on the object is 65N because we have a net force present there.

The correct match of the descriptions to the below people are 23 - F, 24 - H, 25 - D, 26 - I, 27 - A, 28 - B.

23 - F Galileo: Galileo Galilei is credited with discovering the phases of Venus using a telescope. Through his observations, he observed that Venus went through a series of phases similar to those of the Moon, which supported the heliocentric model of the solar system.

24 - H Kepler: Johannes Kepler was the first to consider ellipses as orbits. He formulated the laws of planetary motion, known as Kepler's laws, which stated that planets move in elliptical paths with the Sun at one of the foci. Kepler's work revolutionized our understanding of celestial mechanics.

25 - D Aristotle: Aristotle, the ancient Greek philosopher, is considered one of the foremost thinkers in history. While his contributions span various fields, including philosophy and natural sciences, his views on astronomy were geocentric. He believed that the Earth was the center of the universe and that celestial bodies moved in perfect circles around it.

26 - I Nicolaus Copernicus: Nicolaus Copernicus was an astronomer who proposed the heliocentric model of the solar system, in which the Sun, rather than the Earth, was at the center. Copernicus's revolutionary idea challenged the prevailing geocentric view and laid the foundation for modern astronomy.

27 - A Eratosthenes: Eratosthenes was an ancient Greek mathematician and astronomer who made significant contributions to geography and astronomy. He is known for his accurate measurement of the Earth's circumference. By measuring the angle of the Sun's rays at two different locations, he estimated the Earth's circumference with remarkable accuracy.

28 - B Aristarchus: Aristarchus of Samos is credited with developing the first predictive model of the solar system. He proposed a heliocentric model centuries before Copernicus, suggesting that the Sun was at the center of the universe, with the Earth and other planets orbiting it. Aristarchus's model was a significant departure from the prevalent geocentric view of the time.

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By studying how geographic proximity impacts perception of a case by potential members of a jury, Dr. Perkins is most likely a: D. forensic psychologist.

Psychology can be defined as the scientific study of both the consciousness and unconsciousness of the human mind such as feelings, emotions and thoughts, so as to better understand how it functions and affect human behaviors in contextual terms.

A forensic psychologist can be defined as a professional who has been trained and licensed to study how both psychological, biological, and other social factors affect a civil or criminal investigation, so as to answer legal questions that arises during court proceedings.

In this context, we can reasonably infer and logically deduce that Dr. Perkins is most likely a forensic psychologist because he studies how geographic proximity impacts perception of a case by potential members of a jury

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Answer: D. Forensic Psychologist

A forensic psychologist combines their knowledge of the legal field and the psychology field to do their jobs. We know that the answer to this question is a forensic psychologist because Dr. Perkins is studying both law, "members of a jury", and psychological elements together, "impacts perception".

Explanation: Validity of answer is show below.

Answer:750

Explanation:

According to Heisenberg's Uncertainty Principle, it is impossible to determine the position and momentum of a particle with absolute certainty at the same time. The Uncertainty Principle is defined as Δx * Δp ≥ h/4π, where Δx is the uncertainty in position, Δp is the uncertainty in momentum, and h is Planck's constant.
For the given problem, the uncertainty in position of a proton with mass 1.673 x 10-27 kg and kinetic energy 1.2 keV can be calculated as follows:

We know that the momentum p of a particle is given by p = mv, where m is the mass of the particle and v is its velocity.
The kinetic energy of the proton can be converted to momentum using the equation E = p²/2m, where E is the kinetic energy.
1.2 keV = (p²/2m)    (1 eV = 1.6 x 10^-19 J)
p²/2m = 1.92 x 10^-16 J
The momentum p of the proton can be calculated by taking the square root of both sides:
p = √(2mE) = √(2 x 1.673 x 10^-27 x 1.6 x 10^-16) = 7.84 x 10^-22 kg m/s

Using Heisenberg's Uncertainty Principle, we can calculate the uncertainty in position as follows:
Δx * Δp ≥ h/4π
Δx ≥ h/4πΔp
Substituting the values of h, Δp, and solving for Δx:
Δx ≥ (6.626 x 10^-34)/(4π x 7.84 x 10^-22)
Δx ≥ 2.69 x 10^-12 m

Therefore, the uncertainty in position of the proton is 2.69 x 10^-12 m.

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The spring constant for the lower spring is 782.6 N/m.

The spring constant is a measure of the stiffness of a spring and is defined as the force required to stretch or compress the spring by a certain distance. It is typically denoted by the symbol k and has units of newtons per meter (N/m).

In this problem, we are given that the lower spring has been compressed by 2.3 cm and that the scale reads 18 N. We can use Hooke's law, which states that the force required to stretch or compress a spring is proportional to the displacement from its equilibrium position, to find the spring constant of the lower spring.

Hooke's law can be written as:

F = -kx

where F is the force applied to the spring, x is the displacement from its equilibrium position, and k is the spring constant.Substituting the given values, we get:

18 N = -k(2.3 cm)

Solving for k, we get:

k = -18 N / (2.3 cm)

Converting cm to m and taking the absolute value, we get:

k = 782.6 N/m.

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The increase in kinetic energy of the atom is 24 eV.

The correct answer is E) 24 eV.

To find the increase in kinetic energy of a completely ionized beryllium atom (net charge = +4e) accelerated through a potential difference of 6.0 V, we  can use the following formula:
Increase in kinetic energy (ΔKE) = q × ΔV
Where q is the charge of the ion and ΔV is the potential difference.

In this case, q = +4e (where e is the elementary charge, approximately\(1.6 *  10^{-19}  C)\) and ΔV = 6.0 V.
Now, we can calculate the increase in kinetic energy:
ΔKE = (4e) × (6.0 V)
ΔKE = 24eV.

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Answer:

The star's luminosity rises above its previous level. Because it is so cool, the surface will be red, and it will be much farther away from the center than it was during the earlier stages of star evolution. Despite its lower surface temperature, the red giant has a large surface area, which makes it very luminous.

The energy needed to raise the temperature of 1 kg of lead from 40 °C to 60°C will be 2600 Joules.

We can calculate the energy of a substance by using the given formula:

Q = mc∆T

where;

Q = quantity of heat absorbed or released

m = mass of the substance

c = specific heat capacity

∆T = change in temperature(°C)

Now, according to the given question, 1 kg of lead has to be raised from 40°C to 60°C and we also have the specific heat capacity(c) of lead that is 130J/kg°C.

We can calculate the energy by putting the given values in the above equation:

Q = mc∆T

= 1 × 130 × (60-40)

= 20 × 130

Q = 2600J

Therefore, the amount of energy required to raise the temperature of 1 kg of lead from 40°C to 60°C is 2600J.

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a man has a mass of 70kg. then calculated weight on earth where Gravity strength is 10N/kg is 700N

Gravity, which derives from the Latin word gravitas, which means "weight"[1], is a basic interaction in physics that causes all objects with mass or energy to attract one another. The electromagnetic force, the weak interaction, and the strong interaction are all significantly stronger than gravity, which is by far the weakest of the four fundamental interactions. As a result, it has no appreciable impact on subatomic particle level phenomena. However, at the macroscopic level, gravity is the most important interaction between things and governs the motion of planets, stars, galaxies, and even light.

Weight W = mg = 70*10 =  700 N

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A(n) active solar system makes use of a secondary medium, such as water, to collect and convey the energy of the sun. Like passive systems, these are often used for heating buildings.

Active solar systems actively circulate a fluid medium, typically water or a heat-transfer fluid, between solar collectors and the building or storage system using mechanical equipment like pumps or fans. The fluid is circulated to provide room heating, water heating, or other heating applications once the solar collectors transfer the energy from the sun to it.

Active solar systems are those that employ solar collectors to heat water that is then circulated via pipes to produce hot water for residential usage or space heating. These systems can be used to heat buildings.

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Answer:

5 seconds

Explanation:

25 x 5 = 125

Phytophotodermatitis happens when certain plant chemicals cause the skin to become inflamed following exposure to sunlight.

Answer:

Phytophotodermatitis is induced by the action of long wavelength ultraviolet radiation (UVA) on a plant chemical called furocoumarins (psoralens) on the skin surface. Contact with the plant, fruit or vegetable may have been brief and unnoticed.

Explanation:

Answer:

0J

Explanation:

The kinetic energy would be zero. An object just released from rest will have no kinetic energy but the potential energy will be maximum.

Kinetic energy is the energy due to the motion of a body

Potential energy is the energy due to the position of a body.

Therefore, the kinetic energy is zero

The luminosity of star A will be much higher than that of star B because the luminosity is directly proportional to the square of the radius.

Since the radius of star A is double that of star B, the luminosity of star A will be four times that of star B, meaning it will be much brighter. This is because the surface area of star A is four times larger than that of star B, which means it has more space to radiate energy.

This is why stars with larger radii tend to be brighter than those with smaller radii, even if they have similar temperatures.

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The total electric potential will be 4.50 ×10⁴ V. The potential difference is the difference in electric potential between two charged substances.

The amount of work performed in an electrical field to move a unit charge from one location to another is defined as the electrical potential difference.

The distance between all charges and the center is the same. The 10,500 mC, 11.50 mC, 21.00 mC, and 20,500 mC charges neglect each other's potentials.

Hence, the total electric potential will be 4.50 ×10⁴ V.

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If a pendulum is shortened, its frequency increases. This is because the period (the time it takes for one complete swing) of a pendulum is directly proportional to the square root of its length. Therefore, if the length is shortened, the period (and frequency) decreases.

If a pendulum is shortened, its frequency will increase. Here's a step-by-step explanation:
1. A pendulum consists of a weight (or bob) suspended from a fixed point, and it swings back and forth due to the force of gravity.
2. The frequency of a pendulum is the number of oscillations (back and forth swings) it completes in a given time period.
3. The length of the pendulum affects its frequency according to the formula: T = 2π√(L/g), where T is the period (time for one oscillation), L is the length of the pendulum, and g is the acceleration due to gravity.
4. As the length (L) of the pendulum is shortened, the value inside the square root (√) becomes smaller.
5. This results in a smaller value for the period (T) of the pendulum, meaning it takes less time for one oscillation to occur.
6. Since frequency is the reciprocal of the period (f = 1/T), a decrease in period leads to an increase in frequency.

In conclusion, when a pendulum is shortened, its frequency increases.

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To say that the moon is in synchronous orbit around the Earth means that the moon takes approximately the same amount of time to complete one orbit around the Earth as it does to complete one rotation on its axis. As a result, the same side of the moon always faces the Earth, creating a phenomenon known as tidal locking.

The moon's synchronous orbit is the result of gravitational forces between the Earth and the moon. The gravitational interaction between the two bodies has caused the moon's rotation and orbital period to become synchronized over time. This synchronization occurs because the gravitational forces create a torque on the moon, gradually slowing down its rotation until it matches its orbital period.

Due to the synchronous orbit, the moon exhibits a phenomenon called "tidal locking," where one side of the moon always faces the Earth. This means that from the perspective of an observer on Earth, the moon appears to be stationary, with the same features visible at all times. The other side of the moon, known as the "far side" or "dark side," is not visible from Earth.

In summary, the moon being in synchronous orbit around the Earth means that it takes the same amount of time for the moon to complete one orbit around the Earth as it does for it to complete one rotation on its axis. This results in tidal locking, where the same side of the moon always faces the Earth.

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Answer:

the glass and paper have diffrent charges

Explanation:

if the glass is charged positively then the paper was charged negatively

the to charges were to attract think of it as a magnet

Jane, looking for tarzan, is running at top speed (5.5 m/s) and grabs a vine hanging 3.9 m vertically from a tall tree in the jungle. She can swing upward to a height of 1.544 meters.

To determine how high Jane can swing upward when she grabs the vine, we can apply the conservation of energy principle.

The total mechanical energy (E) of Jane can be expressed as the sum of her kinetic energy (KE) and potential energy (PE):

E = KE + PE

Initially, Jane has only kinetic energy since she is running at top speed. When she grabs the vine, all her kinetic energy is converted into potential energy as she starts swinging upward.

The initial kinetic energy (\(KE_{initial\)) is given by:

\(KE_{initial\)= (1/2) * mass * velocity²

where mass is the mass of Jane (which we will assume to be negligible) and velocity is her speed, which is 5.5 m/s.

\(KE_{initial\)= (1/2) * \(5.5^2\)

\(KE_{initial\)= 15.125 J

As she swings upward, her potential energy (PE) increases. At the highest point of her swing, all her initial kinetic energy will be converted into potential energy.

The potential energy (PE) is given by:

PE = mass * gravity * height

where mass is the mass of Jane (which we assume to be negligible), gravity is the acceleration due to gravity (approximately 9.8 m/s²), and height is the maximum height she can swing upward.

Equating the initial kinetic energy to the potential energy at the highest point, we have:

\(KE_{initial\) = PE

15.125 J = mass * gravity * height

Since mass cancels out, we can solve for height:

height = 15.125 J / (mass * gravity)

As the mass is negligible, we can disregard it and calculate the height:

height = 15.125 J / (9.8 m/s²)

height ≈ 1.544 m

Therefore, Jane can swing upward to a height of approximately 1.544 meters.

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Answer:

The initial current is just V / R    because the capacitor will generate not back EMF

Q = V C   for a capacitor - since there is no charge initially on the capacitor the voltage across the capacitor will be zero

As a result, the tension inside the string will remain the same when the mass of the blocks is doubled and the force being applied remains constant.

Tension arises whenever there is apprehension, mistrust, and a potential for an unplanned act of violence or conflict. The likelihood that the confrontation between the two countries will continue is high. Conflict, hostility, unease, and antagonism are synonyms for this word. more phrasal verbs for tension.

Tension is the term used to describe the physical and mental stress that comes along with life's events. Stress can be caused by either happy or unhappy circumstances and can manifest as physical, mental, or emotional symptoms.

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Answer:

0.20 G

Explanation:

The given parameters are;

The magnetic field strength of planet X = 0.70 G

The location of a probe in relation to the vertical wire = 50 m

The measurement of a probe placed 50 mm east of a vertical wire = 0.50 G

The location of the probe = 20 mm east of the vertical wire

Based on the given parameter,  the wire is a current carrying conductor with a magnetic field acting tangent to the magnetic field lines.

Given that the measured Earth magnetic field reduces, we have that the magnetic field of the wire cancels the magnetic field of the Earth

As the probe moves closer to the wire the measured magnetic field in the southern direction reduces

When the probe is placed 20 mm from the wire, the magnetic field reduces to 20/50 × 0.50 G = 0.20G