a horizontal spring is lying on a frictionless surface. one end of the spring is attaches to a wall while the other end is connected to a movable object. the spring and object are compressed by 0.062 m, released from rest, and subsequently oscillate back and forth with an angular frequency of 11.4 rad/s. what is the speed of the object at the instant when the spring is stretched by 0.036 m relative to its unstrained length?

Answer:

6

.40 recharge

1.0v

45.0v

Answer:

it means that velocity of a body rises by 9.8m/s each second if the air resistance is nrelated

mark me

In the above diagram, the net force is 10 Newtons to the right, with an acceleration of 5 m/s².

The net force acting on an object is the sum or resultant force on the object. The net force acting on the given object is obtained by summing all the forces acting on the object in the same direction.

The upward force on the object = 7 N. The downward force on the object = 17 N. The net force on the object:

= 17 N - 7 N

= 10 N.

The acceleration of the object is calculated by applying Newton's second law of motion as follows;

F(net) = ma

where;

m is the mass of the object = 2 kg

a is the acceleration of the object = ?

F(net) is the net force on the object

a = F(net) / ma

= (10 N) / (2 kg)a

= 5 m/s²

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A toy ball that is advertised to "bounce perfectly elastically" off hard surfaces means that the ball will rebound from a surface with the same energy it had before it hit the surface. In other words, the ball will lose no energy due to inelastic deformation.

Elasticity is a property of materials that refers to their ability to return to their original shape after being deformed by an applied force. When a material is deformed elastically, it experiences a restoring force that is proportional to the magnitude of the deformation.

The elasticity of an object can be determined experimentally by applying a force to the object and measuring the resulting deformation. There are several methods for doing this, depending on the type of object and the conditions under which it is tested.

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It will takes approximately 0.165 seconds for the ball to reach the floor after it has been gently pushed off the table top from a height of 1.3 m above the floor.

When an object is dropped from a height, it falls to the ground due to the force of gravity.

When an object is released from a height of 1.3 m above the ground, the time it takes to reach the ground is calculated using the formula:

h = 0.5gt²  where h is the height of the object, g is the acceleration due to gravity and t is the time taken for the object to reach the ground.

Rearranging this formula to solve for t, we have: \(t = \sqrt{(2h/g)}\)

Substituting the values we have: \(h = 1.3 mg = 9.81 m/s^{2} t = \sqrt{(2 \times 1.3 / 9.81)t} = \sqrt{(0.265 / 9.81)t} = \sqrt{0.027t } = 0.165 seconds\)

Therefore, it takes approximately 0.165 seconds for the ball to reach the floor after it has been gently pushed off the table top from a height of 1.3 m above the floor.

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During the Tau Tauri phase of a protostar's evolution, the brightness decreases ( D )

Option A is incorrect because the forms long before the Tau Tauri phase. Option B is incorrect because the decreasing of surface area does not stop until nuclear ignition. Option C is incorrect because the brightness increases before and after the Tau Tauri phase and not during the Tau Tauri phase. Option E is incorrect because the nuclear burning ends the Tau Tauri phase.

Since the brightness increases before and after the Tau Tauri phase, during the Tau Tauri phase the brightness actually decreases. When the surrounding envelope has cleared in the third phase is called the Tau Tauri phase.

Therefore, during the Tau Tauri phase of a protostar's evolution, the brightness decreases ( D )

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boat velocity relative to the ground is = 11.18 Km/h.

Full solution in pic.

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To determine the resistance in SI units that you need to set the cycle ergometer to, given that you want to have a subject exercise at 125 watts with an RPM of 60 for 3 minutes, follow the steps below:

Step 1: Determine the energy used in Joules during the 3 minutes at 125 watts.

P = W / tWhere:

P = power (125 watts)t = time (3 minutes converted to seconds

= 3 × 60 = 180 seconds)

W = energy used in Joules (to be determined)

Substituting the given values:

P = W / t125

= W / 180W

= 125 × 180W

= 22,500 Joules

Step 2: Determine the work done (in Joules) per revolution (360 degrees).

Work done per revolution = energy used in Joules / number of revolutions per minute / 60

Where:number of revolutions per minute = RPM / 60

Substituting the given values:

Work done per revolution = 22,500 / (60 / 60) / 360

Work done per revolution = 22,500 / 1 / 360

Work done per revolution = 22,500 × 360

Work done per revolution = 8,100,000 Joules

Step 3: Determine the torque needed to perform one revolution (360 degrees) of the pedals in SI units (N-m).Torque = work done per revolution / (2 × π)

Where:

2 × π = 6.2832

Substituting the given values:Torque = 8,100,000 / 6.2832

Torque = 1,288,684.08 N-m

Step 4:

Determine the resistance (force) needed at the pedals in Newtons (N) to produce the required torque.Resistance = Torque / pedal radius

Where:pedal radius = 0.175 m (average for a cycle ergometer)

Substituting the given values:

Resistance = 1,288,684.08 / 0.175

Resistance = 7,358,971.89 N (Newtons)

Therefore, you would need to set the resistance to 7,358,971.89 N (Newtons) on the cycle ergometer to achieve the desired subject exercise at 125 Watts with an RPM of 60 for 3 minutes.

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Answer:

a particular kind of matter with uniform properties.

Explanation:

Answer:

Explanation: all of them have made sentence structure (grammar point view) and from the physical aspect.

The mass of the other asteroid is approximately 1.3529 * 10¹⁵kg.The force of gravity between two objects can be calculated using Newton's Law

The force of gravity between two objects can be calculated using Newton's Law of Universal Gravitation, which states that the force of gravity is directly proportional to the product of the masses of the objects and inversely proportional to the square of the distance between their centers.
In this case, we are given that the force of gravity between the two asteroids is 1.14 N and the mass of one asteroid is 8 kg. We need to find the mass of the other asteroid.

Let's use the formula for gravitational force:

F = (G * m1 * m2) / r²

where F is the force of gravity, G is the gravitational constant (approximately 6.674 * 10⁻¹¹ N m²/kg²), m1 and m2 are the masses of the two objects, and r is the distance between their centers.

We can rearrange the formula to solve for the mass of the other asteroid (m2):

m2 = (F * r²) / (G * m1)

Substituting the given values into the equation:

m2 = (1.14 N * (75,000 m)²) / (6.674 * 10⁻¹¹  N m²/kg² * 8 kg)

Calculating the expression:

m2 ≈ 1.3529 * 10¹⁵ kg

Therefore, the mass of the other asteroid is approximately 1.3529 * 10¹⁵ kg.
Please note that the calculated value is an approximation and may vary depending on the exact values used. It is always important to verify the input values and units to ensure accurate calculations.
Answer: The mass of the other asteroid is approximately 1.3529 * 10¹⁵kg.

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The stars flicker for observers on Earth due to several factors, including atmospheric light pollution, changes in their spectra, atmospheric turbulence, and the variation of hydrostatic equilibrium in a star's structure.

1. Atmospheric Light Pollution: Light pollution refers to the excessive artificial light from human activities, such as streetlights, buildings, and cities. This light scatters in the atmosphere and creates a bright background, making it difficult to observe stars clearly. The scattered light interferes with the perception of stars, causing them to appear less bright and their colors to be altered.

2. Changes in Spectra: Each star emits light at different wavelengths, forming a unique spectrum. However, as this light passes through the Earth's atmosphere, it interacts with various gases and particles, causing absorption and scattering. This interaction alters the star's spectrum, changing its brightness and color as observed from Earth.

3. Atmospheric Turbulence: The Earth's atmosphere is not completely still. It contains pockets of air with different temperatures and densities, which create turbulence. When starlight passes through these turbulent regions, it gets refracted and bent, leading to the twinkling or flickering effect we observe. This turbulence causes the apparent brightness of stars to fluctuate rapidly, making them appear to shimmer.

4. Variation of Hydrostatic Equilibrium: Stars maintain their shape and stability through a balance between gravitational forces pulling inward and gas pressure pushing outward. This balance is known as hydrostatic equilibrium. However, stars are not perfectly stable, and various internal processes can cause fluctuations in their equilibrium. These fluctuations can result in changes in the star's size, temperature, and brightness, leading to the observed flickering.

In conclusion, the flickering of stars for observers on Earth is caused by atmospheric light pollution, changes in spectra, atmospheric turbulence, and the variation of hydrostatic equilibrium in a star's structure. These factors combine to create the mesmerizing twinkling effect that we often see in the night sky.

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Treating the clock's pendulum as a simple pendulum, the repaired clock will differ from the correct time by 2.005 s - 2.000 s = 0.005 s, or 5 milliseconds, every period.

The period of a simple pendulum can be calculated using the following formula:

T = 2 * pi * sqrt(L / g)

where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

In this case, the original length of the pendulum is L = 62.0 cm, and the repaired length is L' = 62.0 cm - 2.60 mm = 61.74 cm. The acceleration due to gravity can be taken as g = \(9.81 m/s^2\).

Using the formula for the period, we can calculate the difference between the original period and the period of the repaired pendulum:

T' - T = 2 * pi * sqrt(L' / g) - 2 * pi * sqrt(L / g)

= 2 * pi * [sqrt(L' / g) - sqrt(L / g)]

= 2 * pi * [sqrt((61.74 cm) / (\(9.81 m/s^2\))) - sqrt((62.0 cm) / (\(9.81 m/s^2\)))]

= 0.052 s

Therefore, the repaired clock will differ from the correct time by 0.052 seconds every period. This difference may seem small, but over a long period of time it can add up and result in a significant time difference.

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The maximum number of electrons that an atom can have with the quantum numbers n=3 and mℓ=-2 is 10, due to the Pauli exclusion principle and the energy level limit for n=3. Therefore, the maximum number of electrons that an atom can have with the quantum numbers n=3 and mℓ=-2 is 10.




The quantum number n represents the principal quantum number, which indicates the energy level of the electron. The maximum number of electrons in an energy level is given by 2n^2. Therefore, for n=3, the maximum number of electrons that can be in this energy level is: 2(3)^2 = 18

The quantum number mℓ represents the magnetic quantum number, which indicates the orientation of the orbital in space. The value of mℓ can range from -l to +l, where l is the angular momentum quantum number. The Pauli exclusion principle states that no two electrons in an atom can have the same set of four quantum numbers. Therefore, the maximum number of electrons that can have the quantum numbers n=3 and mℓ=-2 is:2 x 5 = 10

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Answer:

water vapor is a type of gas

Explanation:

all gas are in air state of form

hope this helps

Answer:

chemical potential energy

Explanation:

When the sun's radiant energy falls on Earth's oceans, it causes water to change state by evaporating. The form of energy water vapor have is chemical potential energy. when heat energy of sun falls on water surface, its state change from liquid to gas. This gas rises above in the form of water vapor. Its a chemical change. If this vapor get condense/ cool, it will turn into liquid again. We can say that vapor has potential to transform into water again. Thus, the energy stored in water vapor is called chemical potential energy.

Answer:

Speed describes only how fast an object is moving, whereas velocity gives both the speed and direction of the object’s motion being a vector quantity. The standard unit to measure velocity is meter per second (m/s or ms-1). For example, “10 meters per second” is scalar and “10 meters per second West” is vector. Acceleration

Answer:

[Ne] 3s² 3p¹

Explanation:

Answer: 1s2 2s2 2p6

Explanation:

The aluminum ground state would be 1s2 2s2 2p6 3s2 3p1.

However, the Aluminum Ion electron configuration would be 1s2 2s2 2p6 as it has LOST 3 electrons to have the noble gas configuration of Neon (Ne)

\( \sf• \: There \: is\: a \: circuit \: with\: 15 \: amps. \: (bedroom) \: of \: current \: and \: a \: bedroom \: light \: with \: 12\: ohms\: of \: resistance.\)

\( \\ \)

\( \sf{• \: The \: Voltage\: of\: the\: circuit. }\)

\( \\ \)

\( \huge\bf{ \underline{ Solution:- }}\)

\( \sf According \: to \: the \: question, \)

\( \sf• \: Current \: (I) = 15 \: Amps.\)

\( \sf• \: Resistance \: (R) = 12 \: Ω\)

\( \sf{We \: know \: that, }\)

\( \bf \red{ \bigstar{ \: V = IR }}\)

\( \rightarrow \sf V =15 \times 12\)

\( \rightarrow \sf V =180\)

\( \\ \)

\( \sf \purple{Therefore, \: the \: voltage \: of \: the \: circuit \: is \: 180 \: v \: .}\)

Considering the Ohm's law, the voltage of a circuit with 15 amps (bedroom) of current and a bedroom light with 12 ohms of resistance is 180 volts.

Current is the physical quantity that expresses the amount of electricity that flows through a conductor in the unit of time and is measured in amperes

The voltage is the difference that exists between the electrical charge that leaves the source and with which it finally reaches the end of the circuit. It is expressed in volts.

Resistance is the difficulty that a circuit opposes to the passage of a current. They are measured in ohms.

Ohm's law establishes the relationship between current, voltage, and resistance in an electrical circuit. This law establishes that the current through a circuit is directly proportional to its voltage or voltage and inversely proportional to the resistance it presents.

Mathematically Ohm's law is expressed as:

\(I=\frac{V}{R}\)

Where I is the intensity that is measured in amps (A), V the voltage that is measured in volts (V); and R is the resistance measured in ohms (Ω).

In this case, you know:

Replacing in Ohm's law:

\(15 amps=\frac{V}{12 ohms}\)

Solving:

V=  15 amps× 12 ohms

V=180 volts

In summary, the voltage of a circuit with 15 amps (bedroom) of current and a bedroom light with 12 ohms of resistance is 180 volts.

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The graph shown in the first option nicely plots the lion's and gazelle's velocities as a function of time, so option A is the correct answer.

Velocity is the rate of change of displacement over time.

As mentioned in the problem of running at a constant speed towards a gazelle with a standing lion as shown above.

So option A is correct.

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Answer:

it will give one electron to the bromine atom, so the bromine atom will have 36 electrons.  this is an ionic bonding

Explanation:

Answer:

The answer is C. I took the test and got it Right

Explanation:

Answer:

a. The acceleration due to gravity on the Moon is approximately 1.6 ft/s²

b. The height from which the hammer was dropped is 1.253 feet

Explanation:

a. Whereby the unit of velocity is in ft/s, we have

Acceleration = Rate of change of velocity with time

Therefore, acceleration, a = Slope of the velocity to time graph

Whereby the graph is a straight line graph, we proceed to find the slope as follows;

We consider two points, (x₁, y₁) and (x₂, y₂), where (x₁, y₁) is the origin as follows

x₁ = 0 seconds

x₂ = 0.94 seconds

y₁ = 1.5 ft/s

y₂ = 0 ft/s

The two points are therefore;

(0, 0) and (0.94, 1.5)

The slope of the graph, a is given as follows;

\(Slope\, of \, the\, graph = a = \dfrac{y_{2}-y_{1}}{t_{2}-t_{1}} = \dfrac{1.5-0}{0.94-0} = 1.596 \, ft/s^{2}\)

The acceleration due to gravity on the Moon = 1.596 ft/s² ≈ 1.6 ft/s²

The unit of the acceleration is ft/s²

b. The height, h, from which the hammer was dropped is found using the following relation;

v² = u² + 2×a×h

Where:

v = Final velocity = Maximum value of the velocity = 2.0 ft/s

u = Initial velocity = 0 ft/s for an object starting from rest

a = Acceleration due to gravity ≈ 1.6 ft/s²

Therefore;

h = (v² - u²)/(2×a) = (2.0² - 0²)/(2×1.6) = 1.253 ft

The height, h, from which the hammer was dropped = 1.253 ft

The tension in the string pulling the box is most nearly 17 N.

The given parameters;

The tension on the string is calculated by applying Newton's second law of motion as follows.

\(\Sigma F = ma\)

at constant speed, acceleration, a, = 0

\(\Sigma F = 0\\\\T_x - \mu F_n = 0\\\\Tcos(\theta) - \mu F_n = 0\\\\Tcos(\theta)= \mu F_n\\\\T = \frac{\mu F_n}{cos(\theta)} \\\\T = \frac{0.3 \times 5 \times 9.8}{cos(30)} \\\\T = 16.97 \ N\\\\T \approx 17 \ N\)

Thus, the tension in the string pulling the box is most nearly 17 N.

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Answer: rarefaction

Explanation: correct answer on a p e x

Rarefaction term describes an area of low density in a longitudinal wave.

Wave is a disturbance in a medium that carries energy as well as momentum . wave is characterized by amplitude, wavelength and phase. Amplitude is the greatest distance that the particles are vibrating. especially a sound or radio wave, moves up and down. Amplitude is a measure of loudness of a sound wave. More amplitude means more loud is the sound wave.

Wavelength is the distance between two points on the wave which are in same phase. Phase is the position of a wave at a point at time t on a waveform.

There are two types of the wave longitudinal wave and transverse wave. Longitudinal wave : in which, vibration of the medium (particle) is parallel to propagation of the wave. Sound wave is a longitudinal wave. Transverse wave : in which, vibration of the medium (particle) is perpendicular to propagation of the wave. Light wave is a transverse in nature wave.  

In Longitudinal wave, wave carries energy and momentum with compression and rarefaction. Compression is region of high density, in this region particles of the medium is compressed. rarefaction is region of expansion and it is low density region of longitudinal wave.

Hence option C is correct.

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Doppler's effect:

The Doppler effect states that the frequency of sound increases as it source approaches you and it decreases as the source turns away from you.

When the ambulance drives past you, the pitch of the siren is lower. This is due to the fact that the frequency of the wavelength decreases.

A higher pitch means frequency increases and a lower pitch means frequency decreases.

Therefore, the correct answer is option B. decreases

Explanation:

Density = mass / volume

ρ = (500 g) / (8.0 cm × 6.0 cm × 5.0 cm)

ρ = 2.1 g/cm³

The volume of the block the product of its dimensions that is  240 cm³. Then density of the block weighing 500 g is 2.08 g/ cm³.

Density of a substance is the measure of its mass per unit volume. It describes how closely its particles are packed within a given volume. It is the ratio of mass to the volume.

Volume of an object is the space occupied by the object. For a rectangle block, volume is the product of length, width and height.

Given, l = 8 cm

width = 6 cm

h = 5 cm

volume =  l w h = 6 cm × 5 cm × 8 cm  = 240 cm³

Mass of the block = 500 g

density = mass/ volume

d = 500 g/240 cm³

   =  2.08 g/cm³

Therefore, the density of rectangular block is 2.08 g/cm³.

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C) Helium follows kinetic theory of gases. Kinetic theory describes the behavior of a gas in terms of the motion and interactions of its constituent particles. It assumes that the particles are in constant random motion, and it uses this motion to explain macroscopic properties such as pressure, temperature, and volume.

However, the fundamental ideas behind kinetic theory do not apply equally well to every kind of gas, as the behavior of the particles in a gas is determined by several factors, including their mass, size, and intermolecular forces. Based on this information, it can be concluded that the gas that best follows kinetic theory is likely to be C) Helium. Helium is a monatomic gas, meaning it consists of single atoms rather than molecules, and it has a low molecular weight. These properties make it ideal for kinetic theory, as the individual atoms have relatively low mass, and they interact weakly with each other due to their small size. On the other hand, D) Hemoglobin, a massive protein, does not follow kinetic theory as it is not a gas, but a solid or liquid, and its behavior is determined by different physical and chemical principles. Similarly, A) Benzene, a liquid, and B) Iodine, a solid, do not follow kinetic theory as their behavior is not determined by the motion and interactions of their constituent particles.

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Answer:

Sound is produced when an object vibrates, creating a pressure wave. This pressure wave causes particles in the surrounding medium (air, water, or solid) to have vibrational motion. As the particles vibrate, they move nearby particles, transmitting the sound further through the medium.

Explanation:

Answer:

Answer =

Explanation:

Option A

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