suppose a 2.66 capacitor is used, the path resistance through her body is 1,400 , and the initial voltage is 8.59 kv. how long does it take for the voltage to decline to 157 v?

Answer:

24° north of east

Explanation:

tan(x)=90/200 ie x=arctan(90/200)=24°

So the plane took off 24° east.

Answer:

24° north of east

Explanation:

Hope this will help

Answer:

It gives us information that inform policy.

Explanation:

science can form society by giving us information that tells policy.

It serves a specific purpose and also a range of purposes for the financial advantage of our society, including the generation of new knowledge, the improvement of academic achievement, and the enhancement of our quality of life. Science must address societal needs as well as global challenges.

Science is the endeavor and application of information and understanding of the natural and social worlds through a systematic and evidence-based methodology.

Science provides solutions to everyday problems and aids in the investigation of the universe's great mysteries. Science, in other words, is one of the most important sources of knowledge.

Psychology is widely regarded as a social science and is listed on the National Science Foundation's list of STEM disciplines.

It serves a specific purpose as well as a variety of financial benefits to our society, such as the generation of new knowledge, the improvement of academic achievement, and the enhancement of our quality of life.

Science must address both societal needs and global challenges.

Thus, these are the ways that science helps a society.

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the answer is A hope this helps :D

If there is no change in the charge distributions, the direction of the net electrostatic force on an electron located at the center of the circle would be zero.

The electric field is a force that acts on a charged particle in an electric field. The electric field exerts a force on a charged particle that is proportional to the charge on the particle and the strength of the electric field.The force is exerted in the direction of the electric field. If an electron is placed in the electric field, it will experience a force in the opposite direction to the electric field.

When a charged particle is placed in a uniform electric field, the net electrostatic force on the particle is zero, as the direction of the force is opposite to the direction of the electric field.This can be understood through the principle of superposition. Since there is no change in the charge distribution, the electric field at the center of the circle will be zero. Therefore, the net electrostatic force on an electron located at the center of the circle will be zero.

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If a hypothetical planet has a radius 2.0 times that of the earth but has the same mass, then the acceleration due to gravity near its surface would be one-fourth of the acceleration due to gravity of the earth.

It can be defined as the force by which a body attracts another body toward its center as the result of the gravitational pull of one body and another.

As given in the problem, a hypothetical planet has a radius 2.0 times that of the earth but has the same mass.

Gravity = GM / R²

            = GM / ( 2R )²

         g' = g / 4

Thus, the acceleration due to gravity near its surface would be one-fourth of the acceleration due to the gravity of the earth.

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When a double slit is illuminated by a 416-nm blue laser, the spacing of the slits in the double-slit experiment is approximately 1703.3 nm.

To calculate the spacing of the slits in a double-slit interference pattern, we can use the formula:

sin(θ) = (mλ) / d

where θ is the angle of the bright fringe, m is the order of the fringe (m=1 for the first bright fringe), λ is the wavelength of the light, and d is the spacing between the slits. We are given the angle (14.0°) and the wavelength (416 nm), so we can solve for d:

sin(14.0°) = (1 * 416 nm) / d

To isolate d, we can rearrange the formula:

d = (1 * 416 nm) / sin(14.0°)

Now we can plug in the values and calculate the spacing of the slits:

d ≈ (416 nm) / sin(14.0°) ≈ 1703.3 nm

Therefore, the spacing of the slits in the double-slit experiment is approximately 1703.3 nm.

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The spacing of the slits if the first bright fringe of an interference pattern occurs at an angle of 14.0° from the central fringe when a double slit is illuminated by a 416-nm blue laser is approximately 1.7 × 10⁻⁶ meters.

To find the spacing of the slits when the first bright fringe of an interference pattern occurs at an angle of 14.0° from the central fringe and is illuminated by a 416-nm blue laser, follow these steps:

1. Use the double-slit interference formula: sin(θ) = (mλ) / d, where θ is the angle of the fringe, m is the order of the fringe (m = 1 for the first bright fringe), λ is the wavelength of the laser, and d is the spacing between the slits.

2. Plug in the known values: sin(14.0°) = (1 × 416 × 10⁻⁹ m) / d.

3. Solve for d: d = (1 × 416 × 10⁻⁹  m) / sin(14.0°).

4. Calculate the result: d ≈ 1.7 × 10⁻⁶ m.

Thus, the spacing of the slits is approximately 1.7 × 10⁻⁶ meters.

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A pure liquid in a distilling flask doesn't vaporize all at once because of its vapor pressure. The temperature of a liquid determines its vapor pressure. At higher temperatures, the vapor pressure of a liquid increases. When a pure liquid is heated in a distilling flask, its temperature increases, resulting in a rise in vapor pressure.

However, the vapor pressure is only equivalent to atmospheric pressure at the boiling point of the liquid. If the boiling point of the liquid is equal to or lower than the temperature of the distilling flask, the liquid will boil and vaporize, and the distillate will accumulate in the receiving flask. Based on the aforementioned discussion, the temperature of the liquid continues to rise when the temperature of the distilling flask is increased. This, in turn, causes the vapor pressure of the liquid to rise as well. When the vapor pressure of the liquid rises above atmospheric pressure, the liquid begins to boil.

However, the boiling point of a liquid is dependent on its atmospheric pressure. If the atmospheric pressure is lower, the boiling point of the liquid decreases, and if the atmospheric pressure is higher, the boiling point of the liquid increases. Furthermore, if the atmospheric pressure is lower than the vapor pressure of the liquid at a specific temperature, the liquid would evaporate completely. As a result, a pure liquid in a distilling flask does not vaporize all at once because it is boiling at a temperature less than the atmospheric pressure.

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The photon's wavelength emitted during the transition from n = 2 to n = 3 is approximately 256 nm. The photon's wavelength emitted during the transition from n = 1 to n = 3 is about 160 nm. The width of the box is approximately 0.622 nm.

The energy levels of a particle in a one-dimensional box:

Eₙ = (n² ×h²) / (8 × m × L²)

where:

Eₙ: energy level of the particle

n: quantum number of the energy level

h: Planck's constant

m: mass of the particle

L: width of the box.

Transition from n = 2 to n = 3:

Let's assume the wavelength of the photon emitted during this transition is λ.

ΔE = E₃ - E₂

ΔE = ((3² × h²) / (8 ×m × L²)) - ((2² × h²) / (8 × m × L²))

ΔE = (h² / (8× m × L²)) ×(9 - 4)

ΔE = (h²/ (8 × m × L²)) × 5

The energy difference is proportional to the frequency of the emitted photon:

ΔE = h × c / λ

where c is the speed of light.

We can equate the two expressions for ΔE:

(h² / (8 × m × L²)) × 5 = h × c / λ

λ = (8 × m × L² ×c) / (5 × h)

Plugging in the given values:

m = mass of the electron = 9.11 x 10⁻³¹ kg

L = width of the box (to be determined)

c = speed of light = 3 x 10⁸ m/s

λ = (8 ×(9.11 x 10⁻³¹ kg) × L² × (3 x 10⁸ m/s)) / (5 ×(6.626 x 10⁻³⁴ J·s))

Solving for L

L² = (5 × (6.626 x 10⁻³⁴J·s) × λ) / (8 ×(9.11 x 10⁻³¹kg) × (3 x 10⁸ m/s))

L² = 0.00047765 m²

L ≈ 0.021847 m

The wavelength of the photon is given by:

λ = (8 × (9.11 x 10⁻³¹ kg) × (0.021847 m)² × (3 x 10⁸ m/s)) / (5 × (6.626 x 10⁻³⁴J·s))

λ ≈ 256 nm

Transition from n = 1 to n = 3:

Following the same steps,

ΔE = E₃ - E₁

ΔE = ((3² × h²) / (8 ×m ×L²)) - ((1² × h²) / (8 × m × L²))

ΔE = (h² / (m × L²))

Using ΔE = h × c / λ:

(h² / (m × L²)) = h ×c / λ

Simplifying and solving for λ:

λ = (m × L² × c) / h

Plugging in the given values:

λ = ((9.11 x 10⁻³¹ kg) × (0.021847 m)² × (3 x 10⁸ m/s)) / (6.626 x 10⁻³⁴ J·s)

λ ≈ 160 nm

Width of the box (L):

From the above equations,

L² = (5 × (6.626 x 10⁻³⁴J·s) × (426 nm)) / (8 × (9.11 x 10⁻³¹ kg) × (3 x 10⁸ m/s))

L ≈ 0.000622 m or 160 nm

Therefore, the answers are 256 nm, 160 nm, and 0.622 nm respectively.

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The wavelength of the photon released during the change from n = 2 to n = 3 is roughly 256 nm. About 160 nm is the wavelength of the photon that is released when n = 1 changes to n = 3. The box has a width of about 0.622 nm.

Given values:

m = mass of the electron = 9.11 x 10⁻³¹ kg

L = width of the box (to be determined)

c = speed of light = 3 x 10⁸ m/s

The energy levels of a particle in a one-dimensional box:

Eₙ = (n² ×h²) / (8 × m × L²)

where:

Eₙ: energy level of the particle

n: quantum number of the energy level

h: Planck's constant

m: mass of the particle

L: width of the box.

Transition from n = 2 to n = 3:

The wavelength of the photon emitted during this transition is λ.

ΔE = E₃ - E₂

ΔE = ((3² × h²) / (8 ×m × L²)) - ((2² × h²) / (8 × m × L²))

ΔE = (h²/ (8 × m × L²)) × 5

The frequency of the photon that was released directly correlates with the energy difference:

ΔE = h × c / λ

,c is the speed of light.

Evaluating the two expressions for ΔE:

(h² / (8 × m × L²)) × 5 = h × c / λ

λ = (8 × m × L² ×c) / (5 × h)

λ = (8 ×(9.11 x 10⁻³¹ kg) × L² × (3 x 10⁸ m/s)) / (5 ×(6.626 x 10⁻³⁴ J·s))

Solving for L

L² = (5 × (6.626 x 10⁻³⁴J·s) × λ) / (8 ×(9.11 x 10⁻³¹kg) × (3 x 10⁸ m/s))

L ≈ 0.021847 m

The wavelength of the photon is given by:

λ = (8 × (9.11 x 10⁻³¹ kg) × (0.021847 m)² × (3 x 10⁸ m/s)) / (5 × (6.626 x 10⁻³⁴J·s))

λ ≈ 256 nm

Transition from n = 1 to n = 3:

ΔE = E₃ - E₁

ΔE = ((3² × h²) / (8 ×m ×L²)) - ((1² × h²) / (8 × m × L²))

ΔE = (h² / (m × L²))

Using ΔE = h × c / λ:

(h² / (m × L²)) = h ×c / λ

Solving for λ:

λ = (m × L² × c) / h

λ = ((9.11 x 10⁻³¹ kg) × (0.021847 m)² × (3 x 10⁸ m/s)) / (6.626 x 10⁻³⁴ J·s)

λ ≈ 160 nm

Width of the box (L):

From the above equations,

L² = (5 × (6.626 x 10⁻³⁴J·s) × (426 nm)) / (8 × (9.11 x 10⁻³¹ kg) × (3 x 10⁸ m/s))

L ≈ 0.000622 m or 160 nm

Thus, the answers are 256 nm, 160 nm, and 0.622 nm respectively.

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Answer:

Explanation:

Therefore, the unit of speed is the meter per second, or m/s. The unit meter per second is called a derived unit, meaning that it is derived from the seven SI base units.

Answer:

Derived SI Units

Explanation

In physics there are many quantities that cannot be expressed by a single base unit. ... Therefore, the unit of speed is the meter per second, or m/s. The unit meter per second is called a derived unit, meaning that it is derived from the seven SI base units.

The measurement with two scales will shoe half reading compared to a measurement with only one scale.

The spring scale is a tool used to degree the burden of an object. It became created within the 17th century to determine weight, no longer mass. Weight is dependent on the quantity of gravity exerted on an item. An item's weight equals its mass multiplied via the acceleration due to gravity.

The rush & Pull Spring Scales are used to degree both the burden of an item and the pressure of pushing or pulling an object. they may be calibrated in grams and Newtons, and have a clean flat location on the rod so, the usage of a dry wipe marker, you could create your very own scales.

The predictable and repeatable way wherein springs stretch in reaction to implemented forces provides a method for measuring weight and different forces. furthermore, springs can be designed to supply quite simply measurable stretch distances for a wide type of forces.

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Answer:

Fission occurs when a neutron slams into a larger atom, forcing it to excite and split into two smaller atoms—also known as fission products. Additional neutrons are also released that can initiate a chain reaction. When each atom splits, a tremendous amount of energy is released.

Explanation:

Answer:

Fission

Explanation:

this happens when the neutrons an atoms slams into a larger atom, forcing it to split into two smaller atoms

The photocell control device consists of a light-sensitive cell and an amplifier that increases the signal until it is sufficient to operate a relay that controls the light.

A photocell, also known as a photoelectric cell, is an electronic device that converts light energy into electrical energy. It is a type of semiconductor device that relies on the photoelectric effect to generate electricity. The photoelectric effect is the phenomenon where electrons are emitted from a material when light shines on it.

A photocell typically consists of a thin metal plate or semiconductor material, known as the photocathode, which is placed in a vacuum tube. When light falls on the photocathode, electrons are emitted, creating a current. This current can then be used to power electronic devices or to measure the intensity of the light. Photocells are used in a wide range of applications, including light sensors, solar panels, and photodiodes.

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The spaceship is traveling at a speed of 1877.8 millimeters per second.

The spaceship is traveling at a speed of 4200 miles per hour. To convert this speed to millimeters per second, we need to perform a few conversions.

First, let's convert miles to kilometers. There are approximately 1.60934 kilometers in one mile.

So, the speed in kilometers per hour is 4200 miles per hour multiplied by 1.60934 kilometers per mile. Next, let's convert kilometers per hour to meters per second.

There are 1000 meters in one kilometer, and 3600 seconds in one hour. So, the speed in meters per second is the speed in kilometers per hour divided by 1000 meters per kilometer, and then divided by 3600 seconds per hour.

Finally, let's convert meters per second to millimeters per second. There are 1000 millimeters in one meter. So, the speed in millimeters per second is the speed in meters per second multiplied by 1000 millimeters per meter.

Let's calculate the conversion step-by-step:

1. Convert miles to kilometers: 4200 miles/hour × 1.60934 kilometers/mile = 6758.048 kilometers/hour

2. Convert kilometers to meters and hours to seconds: 6758.048 kilometers/hour ÷ 1000 meters/kilometer ÷ 3600 seconds/hour = 1.8778 meters/second

3. Convert meters to millimeters: 1.8778 meters/second × 1000 millimeters/meter = 1877.8 millimeters/second

Therefore, the spaceship is traveling at a speed of 1877.8 millimeters per second.

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Answer:

First, convert 850.0 m^2 to cm^2 to match the volume of oil. It would come out to 8,500,000 cm^2. Now set up V=lwh (length times width times height). You are looking for thickness, which is height.

1000.0cm^3 = (8.500*10^6 cm^2)(h)

1000.0/(8.500*10^6) = h

Explanation: I hope this help :)

Answer:

Infiltration

Explanation:

If air movement between inside and outside is accidental, we call it infiltration. Approximately two-thirds of U.S. houses, including low-rise condos and townhouses, use forced-air systems to move heating and cooling energy from a central furnace, air conditioner, or heat pump around the house using a duct system.

The forced airflow that takes place by design between the inside and outside a building is known as ventilation.

A building will always experience "air infiltration" in addition to planned ventilation. This is the unplanned or accidental entry of air to it in to a space from openings and fissures in the built environment.

Exfiltration is the phrase used to describe the equivalent loss from air from a confined space. The porosity of the proposed building and the strength of the wind and temperature's natural driving forces both affect how much air penetration occurs.

When the pressures operating across one of these openings are driven by poor weather rather than purposefully created driving forces, vents and other ventilation design-related holes can also become paths for unintended air movement.

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The electromagnetic spectrum describes the solar energy emitted by the sun.

The arrangement of electromagnetic waves in the spectrum are due to the fact that electromagnetic radiation, also known as sunlight, can simultaneously behave as a particle and as a wave. The electromagnetic spectrum includes different types of electromagnetic radiation, with wavelengths ranging from the shortest gamma rays to the longest radio waves.The sun is a powerful source of energy, and it emits various types of electromagnetic radiation, including visible light, ultraviolet light, and infrared radiation. These different types of radiation have different wavelengths and frequencies, which determine their position on the electromagnetic spectrum. The electromagnetic spectrum is important because it helps scientists understand the behavior of electromagnetic radiation and its interaction with matter.

For example, different types of radiation have different levels of energy, which can cause them to interact differently with materials. In addition, different types of radiation can be used for different applications, such as medical imaging, communication, and energy production.

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Explanation:

the velocity of sound in air is 330m/s

and v=fh, where h is wavelength f is frequency,

h=v/f.......(1)

longer wavelength

h=330/20,h=16.5m

shorter wavelength

h=330/20000,h=1.65x10-²m

The lesser frequency was used for finding the longer wavelength since wavelength is inversely proportional to frequency,

thus an increase in frequency brings a decrease in wavelength.

and shorter wavelengths are more high and intense

hope this helps

Temperature is a measure of the average kinetic energy of the particles in a substance.

Normally, it is expressed in kelvin (K) or degrees Celsius (°C) units. According to the ideal gas equation, PV = nRT, where P is pressure, V is volume, n is the number of moles of gas, R is gas constant, and T is temperature in kelvin.

A substance's temperature has a direct correlation with the kinetic energy of its particles. The kinetic energy of a material's particles increases with rising substance temperature and decreases with falling substance temperature.

The idea of thermal energy, which is the sum of the kinetic and potential energy of the particles in a substance, can also be used to represent the average kinetic energy of the particles in a substance.

A substance's thermal energy is inversely proportional to its temperature and can be raised by heating it up or raising the kinetic energy of its constituent particles.

It is crucial to understand that temperature is actually a measurement of the average kinetic energy of the particles present in a substance rather than the quantity of heat it contains.

The amount of heat needed to increase the temperature of one unit of mass of a substance by one degree can be used to determine a substance's specific heat content.

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Answer:

v1 = −2.201946 m/s ( to the left)

v2 = 0.7780534 m/s ( to the right)

Explanation:

Given the following :

Mass of first glider (m1) = 0.149kg

Initial Speed of first glider (u1) = 0.710 m/s

Mass of second glider (m2) = 0.308kg

Initial Speed of second glider (u2) = 2.27m/s

For elastic collision:

m1u1 + mu2u2 = m1v1 + m2v2

Where V1 and v2 = final velocities if the body after collision.

Taking right as positive ; left as negative

u1 = 0.710m/s ; u2 = - 2.27m/s

u1 - u2 = - (v1 - v2)

0.710 - - 2.27 = - v1 + v2

v2 - v1 = 2.98 - - - - (1)

From:

m1u1 + mu2u2 = m1v1 + m2v2

(0.149 * 0.710) + ( 0.308 * - 2.27) = (0.149 * v1) + (0.308 * v2)

0.10579 + (-0.69916) = 0.149 v1 + 0.308v2

−0.59337 = 0.149 v1 + 0.308v2

Dividing both sides by 0.149

v1 + 2.067v2 = −0.59337 - - - - - (2)

From (1)

v2 = 2.98 + v1

v1 + 2.067(2.98 + v1) = −0.59337

v1 + 6.16 + 2.067v1 = −0.59337

3.067v1 = −0.59337 - 6.16

3.067v1 = −6.75337

v1 = −6.75337 / 3.067

v1 = −2.201946 m/s ( to the left)

From v2 = 2.98 + v1

v2 = 2.98 + (-2.201946)

v2 = 0.7780534 m/s ( to the right)

Answer: The change in momentum is +20 kg.m/s

Explanation:

To calculate the final velocity of object, we use the first equation of motion:

\(v=u+at\)

where,

v = final velocity

u = initial velocity = 0 m/s

a = acceleration = \(10m/s^2\)

t = time = 0.5 s

Putting values in above equation, we get:

\(v=0+(10\times 0.5)\\\\v=5m/s\)

Momentum is defined as the product of the mass and velocity of an object. It is given by the equation:

\(p=mv\)

where,

p = momentum

m = mass of object = 2 kg

Let the upward velocity be positive and the downward velocity be negative

When the object is dropped, the velocity is downward

v = -5m/s

Initial momentum = \(2kg\times (-5m/s)=-10kg.m/s\)

When the object is bounced back, the velocity is upward

v = +5m/s

Final momentum = \(2kg\times (+5m/s)=10kg.m/s\)

Change in momentum = Final - Inital

Change in momentum = [10 - (-10)] = +20 kg.m/s

Hence, the change in momentum is +20 kg.m/s

The relative motion of gaseous particles increases with increase in the temperature of the gas molecules just like the motion of popcorn in a popper increases when heat is applied to the popper.

The kinetic theory of gases or matter states that matter consists of tiny particles which are constant motion, colliding with one another and with walls of the containing vessels.

Just like a popcorn in a popcorn popper pops when heat is applied to the popper, gases contained in a cylinder increases their speed when they acquire more kinetic energy as the temperature of the cylinder increases.

Thus, the motion of gas particles depends on the temperature of the containing vessel so also does the random motion of popcorn depends on the temperature of the popper.

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The speed of the lower part of the Variegated Glacier on June 9, 1983, was approximately 0.00074 meters per second.

The speed of the lower part of the Variegated Glacier in Alaska is 0.64 meters per second.
To convert the glacial speed from feet per day to meters per second, first, we need to convert feet to meters and then days to seconds.

On June 9, 1983, the lower part of the Variegated Glacier in Alaska was observed to be moving at a rate of 210 feet per day.

1 foot = 0.3048 meters
210 feet = 210 * 0.3048 = 64.008 meters

1 day = 24 hours = 24 * 60 minutes = 24 * 60 * 60 seconds = 86,400 seconds
Now, we can find the speed in meters per second:
Speed = (64.008 meters) / (86,400 seconds) ≈ 0.00074 m/s

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There are some general trends that can be observed in the changes in the rankings of events from the original Holmes and Rahe (1967) scale to the new weighting schema.

Firstly, some of the events that were considered to be the most stressful in the original scale, such as "death of a spouse" and "divorce", continue to be ranked high in the new scale.

However, some events that were ranked lower in the original scale, such as "business readjustment" and "change in financial state", have moved up significantly in the new scale. This suggests that changes in financial circumstances have become more significant stressors over time.

In addition, some events that were not included in the original scale, such as "trouble with boss" and "minor violations of the law", are now included in the new scale and have been given relatively high rankings. This suggests that changes in work-related stressors and legal issues have become more significant stressors in modern times.

Overall, the new weighting schema reflects some changes in the nature of stressors over time and provides a more up-to-date ranking of events that are most likely to cause stress in people's lives.

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Answer:

b

Explanation:

because the metalloids are the thing in the middle

Therefore, the maximum speed of the emitted electrons is 1.62 x 10⁶ m/s.

The photoelectric effect is observed on two metal surfaces. If light of wavelength 300.0 nm is incident on a metal that has a work function of 2.80 eV, the maximum speed of the emitted electrons is 1.62 x 10⁶ m/s. What is the photoelectric effect? The photoelectric effect, also known as the Hertz–Lenard effect, is a phenomenon in which electrons are emitted from a metal surface when light is shone on it. The photoelectric effect was initially studied by Heinrich Hertz in 1887 and later by Philipp Lenard in 1902.Latex-free answer: To calculate the maximum speed of emitted electrons using the photoelectric effect equation, we can use the following formula: KEmax = hν - φwhere KE max is the maximum kinetic energy of the ejected electron, h is Planck's constant, ν is the frequency of the incident light, and φ is the work function of the metal. Using the equation, we can convert the given wavelength of 300.0 nm to frequency by using the formula c = λν where c is the speed of light and λ is the wavelength. c = λνν = c/λν = (3.0 x 10⁸ m/s) / (300.0 x 10⁻⁹ m)ν = 1.0 x 10¹⁵ Hz, Now we can plug in the values in the equation: KE max = (6.626 x 10⁻³⁴ J s) (1.0 x 10¹⁵ Hz) - (2.80 eV)(1.60 x 10⁻¹⁹ J/eV)KE max = 1.06 x 10⁻¹⁹ J - 4.48 x 10⁻¹⁹ JKE max = -3.42 x 10⁻¹⁹ J. Since KE max is a positive value, we can convert the value to speed using the equation KE = 1/2mv² where m is the mass of the electron and v is the velocity of the electron: v = √(2KE/m)v = √[(2)(3.42 x 10⁻¹⁹ J)/(9.11 x 10⁻³¹ kg)]v = 1.62 x 10⁶ m/s. Therefore, the maximum speed of the emitted electrons is 1.62 x 10⁶ m/s.

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The  speed at which the moving clock would lose 4.1 ns in 1.0 day according to experimenters on the ground is approximately v = (8.04 × 10^-9) × c = 2.41 m/s.

The formula for the time dilation due to relative velocity is given by:

Δt' = Δt / sqrt(1 - v^2/c^2)

where Δt' is the time interval measured by the moving clock, Δt is the time interval measured by an observer at rest on the ground, v is the relative velocity between the two frames of reference, and c is the speed of light.

Using the binomial approximation, we can simplify this equation to:

Δt' = Δt (1 + 1/2 (v/c)^2)

In this case, Δt = 1.0 day = 86,400 s, and Δt' = Δt - 4.1 ns = 86,399.999996 s.

Solving for v, we get:

v/c ≈ sqrt(2Δt'/Δt - (Δt'/Δt)^2)

v/c ≈ sqrt(2(86,399.999996/86,400) - (86,399.999996/86,400)^2)

v/c ≈ 8.04 × 10^-9

Therefore, the speed at which the moving clock would lose 4.1 ns in 1.0 day according to experimenters on the ground is approximately v = (8.04 × 10^-9) × c = 2.41 m/s.

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Answer:

a and c

Explanation:

didn't actually do the math, but i am pretty positive that those are equal

Answer:

Explanation:

i hate him

Answer:

25.56 m

Explanation:

For vertical movement , initial velocity u = 0

Displacement  h = 2 m

time taken = t

h = ut + 1/2 gt²

2 = .5 x 9.8 x t²

t² = .4081

t = .639 s

During this period , the ball will move in horizontal direction uniformly with velocity 40 m /s .

horizontal displacement = horizontal velocity x time

= 40 x .639 = 25.56 m