suppose you built a pendulum and set it swinging. you measure 15 cycles of the pendulum and get a time of 24.00 s. what is the period of your pendulum in seconds?

Answers

Answer 1

The period of the pendulum is 1.6 seconds. The period of a pendulum is the time it takes to complete one full oscillation or one cycle. Therefore, to find the period of a pendulum, we use the formula; T = (t/n)

Here; T is the period of the pendulum, t is the total time of oscillation (in seconds)and n is the number of oscillations or cycles.

Suppose you built a pendulum and set it swinging. You measure 15 cycles of the pendulum and get a time of 24.00 s.

We use the formula above to calculate the period of the pendulum;

T = (t/n)T

= (24.00 s/15)T

= 1.6 s

Therefore, the period of the pendulum is 1.6 seconds.

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Related Questions

can somebody help asap please

can somebody help asap please

Answers

The value of the resistance r is 20.25 ohms.

What is the value of the resistance r?

The value of the resistance r is calculated by applying Ohm's law as shown below.

Ohm's law states that the current flowing in a circuit is directly proportional to the voltage across the circuit.

V = IR

where;

V is the voltageR is the resistanceI is the current

P = IV

I = P / V

I = ( 32 W ) / ( 24 V + 12 V )

I = 0.889 A

R = V/I

R = ( 24 + 12 ) / ( 0.889 A )

R = 40.5 ohms

The value of each resistance, r is calculated as;

r = 40.5 ohms / 2

r = 20.25 ohms.

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The distance time graph of a body is a straight line parallel to the time axis. What
information does the graph convey regarding the motion of the object?

Answers

Explanation:

The object is not moving, because the distance is a constant value regardless of the time value.

Our Solar System What is the region that is located between Mars and Jupiter and is labeled A in the illustration? Solar System A
A. The terrestrial belt
B. The comet belt
C. The asteroid belt
D. The Kuiper belt ​

Answers

Answer:

asteroid belt

Explanation:

The asteroid belt is a torus-shaped region in the Solar System, located roughly between the orbits of the planets Jupiter and Mars, that is occupied by a great many solid, irregularly shaped bodies, of many sizes but much smaller than planets, called asteroids or minor planets.

Relative and Absolute Dating Lab Report

Answers

Relative dating is the process of determining the relative order of past events, without necessarily determining their absolute age. This is done by comparing the positions of different layers of rock and determining which layers are older or younger. For example, if rock layer A is on top of rock layer B, then rock layer A is younger than rock layer B.

Absolute dating, on the other hand, is the process of determining a specific date for an event or artifact. This is done through the use of methods such as radiocarbon dating or potassium-argon dating. These methods involve measuring the decay of certain isotopes and comparing them to known decay rates.

In a lab report, you would likely include a brief introduction to the concepts of relative and absolute dating, a description of the methods and materials used in the lab, a presentation of the data collected, and an analysis and interpretation of the results. You may also include a discussion of any limitations or sources of error in the methods used and a conclusion summarizing your findings.

One day when the speed of sound in air is 343 m/s, a fire truck traveling at vs = 31 m/s has a siren which produces a frequency of fs = 439 Hz. What frequency, in units of hertz, does the driver of the truck hear?

Answers

The driver of the fire truck hears a frequency of approximately 475.8 Hz. The frequency that the driver of the fire truck hears can be found using the formula:
f' = (v + vd) / (v + vs) * f

where f is the frequency of the siren, v is the speed of sound in air, vs is the speed of the fire truck, and vd is the speed of the observer (in this case, the driver) relative to the air.
Plugging in the given values, we get:
f' = (343 + 31) / (343 + 0) * 439
f' = 475.8 Hz

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a 9-volt battery will take ____ j of work to move 2 coulombs of charge from the - to the terminal of a battery.

Answers

A 9-volt battery will take 18 j of work to move 2 coulombs of charge from the negative terminal to the positive terminal of a battery.

To determine the work required to move 2 coulombs of charge from the negative terminal to the positive terminal of a 9-volt battery, we can use the formula:

Work (W) = Electric potential difference (V) × Charge (Q)

Given:

Electric potential difference (V) = 9 volts

Charge (Q) = 2 coulombs

Substituting these values into the formula:

Work (W) = 9 volts × 2 coulombs

W = 18 joules

Therefore, it would take 18 joules of work to move 2 coulombs of charge from the negative terminal to the positive terminal of a 9-volt battery.

This indicates the energy required to overcome the potential difference provided by the battery and transfer the charge against the electric field. The work done is proportional to the product of the charge and the potential difference, in this case, resulting in 18 joules of work.

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Complete question:

A 9-volt battery will take ____ of work to move 2 coulombs of charge from the _____ terminal to the _____ terminal of a battery.

10.A fairground ride spins its occupants inside a large teacup. If the radius of the
circular path is 10m and the acceleration is 1.5g, what is the speed of the riders?

Answers

Radial acceleration is inversely related to the radius of the curved pathway and directly proportional to the square of the linear speed. The ratio of the square of the angular speed to the radius of the curved pathway is directly proportional to the radial acceleration.

Explain about the radius and acceleration?

This is the acceleration of an object moving at speed v within a circle of radius r. Therefore, as you may have experienced while driving a car, centripetal acceleration is greater at high speeds and in acute curves (smaller radii). y.

We can argue that as the radius increases, the centripetal acceleration of the item moving in a circle falls exponentially. Along the radius, the centripetal acceleration's magnitude diminishes.

The centripetal acceleration would be decreased if the radius were decreased while all other factors remained constant, but it would be increased if the speed were increased while all other factors remained constant.

The radius of the circular path is 10m and the acceleration is 1.5g the speed of the rider is 1.82 m/s/s.

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As the capacitor discharges the voltage across it falls, thus to maintain a constant current, R must be proportionately reduced. This is so from Ohm’s law, I = V/R. To keep I fixed, R must fall with V

To keep the current constant during the discharge cycle:
the resistance R must be continually increased.
the resistance R must be continually decreased.
the resistance r must be continually increased.
the resistance r must equal R.

Answers

To keep the current constant during the discharge cycle, the resistance R must be continually decreased.

This is because as the voltage across the capacitor decreases, the current through the circuit also decreases. Ohm's law states that current is equal to voltage divided by resistance (I = V/R). If the current is to remain constant, and the voltage across the capacitor is decreasing, then the resistance must also decrease to compensate and maintain a constant current. This is why it is important to choose the appropriate resistance value when designing a circuit with a capacitor to ensure that the current remains stable throughout the discharge cycle. If the resistance is too high, the current will drop too quickly, and if it is too low, the capacitor may discharge too rapidly and damage the circuit.

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The table below shows four examples of pairs of objects, the masses of each
object in the pair, and the distances between the objects. In which example is the
gravitational force of attraction between the two objects the greatest?

The table below shows four examples of pairs of objects, the masses of eachobject in the pair, and the

Answers

F3 is the greatest of all forces , hence 3rd case in which masses were 200kg and 150 kg separated with a distance of 10 will have greatest force of all

The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them is called gravitation force of attraction

gravitation force = Gm1 m2 / \(r^{2}\)

G = gravitational constant

m1 = mass of one object

m2 = mass of other object

r = distance between them

case 1

F1 = G (50) (100) / \(20^{2}\) = 12.5 G

F2 = G (50) (10) / \(10^{2}\)  = 5 G

F3 = G (200) (150) / \(10^{2}\) = 300 G

F4 =  G (200) (150) / \(30^{2}\) = 33.33 G

F3 is the greatest of all forces , hence 3rd case in which masses were 200kg and 150 kg separated with a distance of 10 will have greatest force of all

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What is the distance the upper spring is extended from its unstretched length? Now, three masses m1 = 3.3 kg, m2 = 9.9 kg and m3 = 6.6 kg hang from three identical springs in a motionless elevator. The springs all have the same spring constant of 229.57N/m Now the elevator is moving downward with a velocity of v = -2.3 m/s but accelerating upward with an acceleration of a = 4.8 m/s2. (Note: an upward acceleration when the elevator is moving down means the elevator is slowing down.) What is the distance the upper spring is extended from its unstretched length?

Answers

The extensions of the middle and lower springs are 0.3209 m and 0.1988 m, respectively, from their unstretched lengths.

We can solve this problem using the concept of equilibrium and the equations of motion. In equilibrium, the weight of each mass is balanced by the force exerted by the spring, so we have:

m₁g = kx₁

m₂g = kx₂

m₃g = kx₃

where g is the acceleration due to gravity, k is the spring constant, and x₁, x₂, and x₃ are the extensions of the three springs from their unstretched lengths.

When the elevator is moving with constant velocity, the forces on the masses are still balanced, so the extensions of the springs are unchanged. However, when the elevator is accelerating, the forces on the masses are no longer balanced, and the extensions of the springs will change. We need to take into account the pseudo-force experienced by the masses due to the acceleration of the elevator.

The pseudo-force on each mass is given by:

F' = m × a

where m is the mass of the object and a is the acceleration of the elevator. For m₁, m₂, and m₃, the pseudo-forces are:

F₁' = m₁a = 3.3 kg × 4.8 m/s² = 15.84 N

F₂' = m₂a = 9.9 kg × 4.8 m/s² = 47.52 N

F₃' = m₃a = 6.6 kg × 4.8 m/s² = 31.68 N

To calculate the new extensions of the springs, we need to add the pseudo-forces to the weights of the masses and then divide by the spring constant. For the upper spring, which is attached to m₁, we have:

kx₁ = m₁g + F₁'

x₁ = (m₁g + F₁')/k

Substituting the values, we get:

x₁ = (3.3 kg × 9.81 m/s² + 15.84 N)/(229.57 N/m) = 0.1003 m

So the upper spring is extended by 0.1003 m from its unstretched length.

For the other two springs, we have:

x₂ = (m₂g + F₂')/k = (9.9 kg × 9.81 m/s² + 47.52 N)/(229.57 N/m) = 0.3209 m

x₃ = (m₃g + F₃')/k = (6.6 kg × 9.81 m/s² + 31.68 N)/(229.57 N/m) = 0.1988 m

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What is the name of the shuttle with 134 successful launches

What is the name of the shuttle with 134 successful launches

Answers

The name is Endeavour

International space station is the mission of NASA. It has launched 134 successful space missions.

What is International Space Station ?

International space station is a huge place in the space but in the close orbit with all possible facilities for astronauts , scientists and others

What is NASA ?

The National Aeronautics and Space Administration (NASA) is an acronym for the National Aeronautics as well as Space Administration. NASA was established as a division of the United States government on October 1, 1958. NASA is just in charge of all research and technology related to aviation and space in the United States.

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The following shows the forces acting on a box. Explain how you calculate the net force in any direction on the box.

The following shows the forces acting on a box. Explain how you calculate the net force in any direction

Answers

Answer:

50 N ---->

Explanation:

Opposing sides get subtracted so~

25-25 cancels out to zero so there is 0N

100 -50 equals 50 N ->

Along vertical direction, net force is 0N and along horizontal direction, the net force is 50N directed towards right.

To determine the answer, we need to know about how to calculate the net force.

How do we calculate the net force?

To determine the net force along any direction, we have to sum all the forces that are directed along that direction.

What are the forces that directed along vertical direction?

Forces that directed along vertical direction are

25 N vertically upward 25 N vertically downwardWhat is the net force along vertical direction?

Net force = 25 N (vertically upward) + 25 N (vertically downward)

                = 25 N - 25N = 0N

Here, we take '+ sign' for upward direction and '- sign' for downward direction.

What are the forces that directed along horizontal direction?

Forces that directed along horizontal direction are

100 N towards right50 N towards leftWhat is the net force along horizontal direction?

Net force= 100 N towards right + 50 N towards left

               = 100N - 50N

               = 50 N (towards right)

Here, we take '+ sign' for horizontally right direction and '- sign' for horizontally left direction.

Thus, we can conclude that 0 N is the net force along vertical direction and 50 N is the net force along horizontal direction.

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which unit of measure is the correct SIunit to use in measuring the mass of a boulder?

o tons
o kilograms
o pounds
o ounces​

Answers

The correct answer is kilograms

Answer:

tons

Explanation:

The length of an iron rod is measures by a brass scale. When both of them are at 10°C, the measured length is 50cm. What is the length of the rod at 40°C when measured by the brass scale at 40°C.? (a for brass=24x10-6°C, a for iron = 16x10 °C -¹)​

Answers

Answer: The answer is 222.8

When water cooled condenser are used for distillation the water enters the condenser at the lowest point and leaves at the highest: Why? a. because this ensure complete separation of liquid mixture in distillation process b. because this allows cold water to circulate longer in the condenser and ensure proper condensation c. because this allows cold water t0 run quickly in the condenser and ensure proper condensation d. none of the above is correct

Answers

The correct answer is (b) because this allows cold water to circulate longer in the condenser and ensure proper condensation.

In a water-cooled condenser used for distillation, the purpose of the cold water is to cool and condense the vapor that is being produced by the heated liquid. The water enters the condenser at the lowest point and leaves at the highest point to maximize the amount of time it spends in the condenser. This allows the water to absorb as much heat as possible from the vapor, ensuring that the vapor is completely condensed back into a liquid.

If the water were to enter and exit the condenser quickly (as in option c), it would not have enough time to absorb all the heat from the vapor, leading to incomplete condensation and a less effective distillation process. Option (a) is incorrect because the separation of the liquid mixture in distillation process is achieved by the differences in boiling points of the components in the mixture, not the design of the condenser. Option (d) is incorrect as option (b) is the most appropriate answer.

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how did isaac newton’s law of universal gravitation bring the scientific revolution to maturity?

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Isaac Newton's law of universal gravitation was a significant contribution to the scientific revolution, as it brought together the principles of astronomy, physics, and mathematics to explain the motions of celestial bodies.

Prior to this, many scientists and philosophers had believed that the movements of the planets and stars were controlled by divine forces, rather than natural laws.
Newton's law of universal gravitation provided a mathematical formula to explain the attraction between two objects, such as the Earth and the Moon, or the Sun and the planets. This law demonstrated that the force of gravity acted not only on objects on Earth but also extended out into space.
Newton's law also demonstrated the power of scientific reasoning, observation, and experimentation. It allowed scientists to make predictions about the movements of celestial bodies and to test those predictions through observation and measurement. This approach paved the way for the development of modern physics and astronomy, which rely heavily on mathematical models and experimentation.
Overall, Newton's law of universal gravitation helped bring the scientific revolution to maturity by providing a unifying explanation for the movements of celestial bodies and by demonstrating the power of scientific reasoning and experimentation.

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1. Use Jones Matrices to solve these problems:
a. Determine the effect of a right circular polarizer on a linearly
polarized light
in the x-direction.
b. Determine the effect of quarter wave-plate on

Answers

a. Applying a right circular polarizer to linearly polarized light in the x-direction transforms it into right circular polarization using the Jones matrix (M_right).

b. A quarter wave-plate introduces a 90-degree phase difference between orthogonal polarization components, and the effect depends on the plate's orientation and incident polarization, represented by the Jones matrix of the quarter wave-plate.

a. When a right circular polarizer is applied to linearly polarized light in the x-direction, the effect is the transformation of the linear polarization into right circular polarization. The Jones matrix for a right circular polarizer is given by:

M_right = \((1/\sqrt{(2)}\) * [1 - i; 1 i]

By multiplying the Jones vector representing the linearly polarized light in the x-direction with this Jones matrix, we obtain the resulting Jones vector representing the right circularly polarized light.

b. When a quarter wave-plate is applied to light, it introduces a phase difference of 90 degrees between the two orthogonal polarization components. This effect depends on the orientation of the wave-plate with respect to the polarization of the incident light. By using the appropriate Jones matrix for the quarter wave-plate, we can determine the effect on the incident light's polarization state.

To explain the detailed transformation, it is necessary to consider the specific orientation and properties of the quarter wave-plate, such as its fast and slow axes, as well as the angle between the incident polarization and the fast axis. The Jones matrix of the quarter wave-plate can be expressed as a combination of rotation and phase shift operations.

By multiplying the Jones vector representing the incident polarization with the Jones matrix of the quarter wave-plate, we can calculate the resulting Jones vector, which represents the polarization state after passing through the quarter wave-plate. This will depend on the specific angles and properties of the quarter wave-plate and the incident polarization direction.


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Metalloids that can conduct electricity at high temperatures

Answers

Metalloids that can conduct electricity at higher temperatures are called semiconductors.

Chemical elements that fall into the metal and non-metal categories in terms of their physical and chemical characteristics are known as metalloids. The seven most popular metalloids are boron, germanium, silicon, antimony, arsenic, tellurium, and palladium.

The properties of metalloids are in the middle. They resemble nonmetals more in terms of their physical characteristics, yet several of them may be induced to conduct electricity under specific conditions. Computers and other electronic gadgets rely heavily on these semiconductors.

The semiconductor industry can use certain metalloids (such as silicon and germanium) in chips because they are semiconductors.

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The complete question is

Metalloids that can conduct electricity at higher temperatures are called _________

Can the co-efficient of friction ever have a value such that a skier would be able to slide uphill at a constant velocity?

Answers

No, the co-efficient of friction cannot have a value such that a skier would be able to slide uphill at a constant velocity.

The co-efficient of friction represents the amount of resistance to motion between two surfaces in contact. When moving uphill, the force of gravity is acting against the skier's motion, which increases the frictional force. In order to maintain a constant velocity, the force of the skier pushing forward would have to match the force of friction, but with an increased frictional force, it would require a greater force from the skier to maintain that velocity. Therefore, it is not possible for a skier to slide uphill at a constant velocity due to the increased co-efficient of friction.
The answer is no, the coefficient of friction cannot have a value that would allow a skier to slide uphill at a constant velocity. The coefficient of friction is a measure of the resistance between two surfaces, in this case, the skis and the snow. When sliding uphill, the skier must overcome both friction and the gravitational force pulling them downhill. To slide uphill at a constant velocity, an external force would need to be applied, such as pushing or propelling themselves uphill. The coefficient of friction cannot be adjusted to overcome the force of gravity without an external force being applied.

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A point charge with charge q1 = 2.40 μC
is held stationary at the origin. A second point charge with charge q2
= -4.90 μC moves from the point (0.170 m, 0) to the point (0.230 m , 0.270 m ).

How much work is done by the electrostatic force on the moving point charge?
Express your answer in joules.

Answers

The work done by the electrostatic force on the moving point charge is 1.014 J.

Displacement of the second charge

d = √[(0.23 - 0.17)² + (0.27 - 0)²] = 0.277 m

Force between the two charges

F = kq₁q₂/r²

where;

q₁ is magnitude of first chargeq₂ is magnitude of second charger is the distance between the two chargesk is Coulomb's constant

F = (9 x 10⁹ x 2.4 x 10⁻⁶ x 4.9 x 10⁻⁶)/(0.17)²

F = 3.66 N

Work done in moving the point charge

W = Fd

W = 3.66 x 0.277

W = 1.014 J

Thus, the work done by the electrostatic force on the moving point charge is 1.014 J.

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what does the area under a speed-time graph represent​

Answers

Answer: It represents the whole distance traveled. Hope this helps!

Explanation:

The media often bombards us with images of extremely fit athletes and models. What is an example of positive motivation that can come from seeing these images?

Choosing to stop snacking straight from the container to cut down on calories consumed
Opting to only drink water instead of eating until all the excess weight is lost
Choosing to exercise instead of eat dinner in order to cut down on calories consumed
Opting to use diet pills to help reduce the excess body weight

Answers

Hiii,,

so here u go!

The correct option is the 1st one

that is

Choosing to not eat snacks so as to consume less calories...

Positive motivation is a reward for good performance. This does not have to be an extrinsic motivator, but can also be an intrinsic motivator, such as the good feeling that comes with achieving a goal or doing a personal best....

one example of positive motivation- if a coach says the player will get a bonus $500 if he wins. Athletes who utilise positive motivation are more likely to take risks, be creative and perform under pressure. Negative motivation, on the other hand, is punishment for poor performance..

Now as I cant see any images I wrote my own example...

I hope this helps u...

Answer:

a

Explanation:

What controversial psychological study of prison life took place in 1971?

Answers

The controversial psychological study of prison life that took place in 1971 is known as the Stanford Prison Experiment. It was conducted by psychologist Philip Zimbardo and his team at Stanford University to examine how individuals adapt to the roles of prisoners and prison guards in a simulated prison environment.

The study involved 24 male college students who were randomly assigned to either the role of prisoner or guard. The experiment quickly spiraled out of control as the guards began to abuse their power, and the prisoners became increasingly submissive and depressed. The guards used psychological tactics such as humiliation, sleep deprivation, and even physical punishment to maintain their authority over the prisoners.

The study was meant to last for two weeks, but it was terminated after just six days due to the extreme and abusive behavior of the guards. The Stanford Prison Experiment remains controversial due to ethical concerns about the mistreatment of the participants and the potential long-term psychological effects on those who took part.

The study has had a significant impact on the field of psychology and has raised important questions about the ethics of conducting psychological research. It has also shed light on the dangers of group dynamics and how individuals can be easily influenced by social roles and situations.

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what is the mass of 32.5 cm^3 of alcohol?

what is the mass of 32.5 cm^3 of alcohol?

Answers

Answer:

The mass of 32.5 cm^3 of alcohol is 25.7g

Where did Rutherford believe the protons were found

Answers

ANSWER : is it a very small space at the center of the gold atom.

PLSSS HELP IM SO CONFUSED lol

PLSSS HELP IM SO CONFUSED lol

Answers

Answer:

it is 15

Explanation:

join

The real advantage to hydrostatic weighing is that it __________.
A.
can be done anywhere with no equipment
B.
gives one of the most accurate measurements of body fat
C.
uses calipers to measure body fat

Answers

The real advantage to hydrostatic weighing is that it gives one of the most accurate measurements of body fat.

It should be noted that the real advantage to hydrostatic weighing is that it gives one of the most accurate measurements of body fat.

What is Hydrostatic weighing,?

Hydrostatic weighing can be regarded as underwater weighing which is very good and accurate ways to measure body fat.

Therefore, option B is correct.

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Suppose the maximum safe intensity of microwaves for human exposure is taken to be 1.00 W/m2. (a) If a radar unit leaks 50.0 W of microwaves (other than those sent by its antenna) uniformly in all directions, how far away (in cm) must you be to be exposed to an intensity considered to be safe

Answers

Answer:

The safe distance is 199 cm approximately 200 cm

Explanation:

Safe intensity = 1.00 W/m^2

wattage of radar leaked radar = 50.0 W

safe distance from the microwave will be = ?

We know that the intensity of a wave radiated uniformly in all direction is given as

\(I\) = \(\frac{W}{A}\)

where

W is the wattage of the leaked radar

A is the radial area, which is the area of a sphere that encapsulates the region through which this wave spreads uniformly.

From the equation above,

\(A\) = \(\frac{W}{I}\) = 50/1 = 50 m^2

But the area of this sphere \(A\) = \(4\pi r^{2}\)

where

r is the safe distance from the radar source

substituting for the area, we have

50 = 4 x 3.142 x \(r^{2}\)

50 = 12.568 \(r^{2}\)

\(r^{2}\) = 50/12.568 = 3.978

r = \(\sqrt{3.978}\) = 1.99 m = 199 cm ≅ 200 cm

what is the binding energy b of the last neutron of silicon‑29? the atomic mass of silicon‑29 is 28.976495 u, whereas the atomic mass of silicon‑28 is 27.976927 u. b=

Answers

The binding energy of a nucleus wil be . B = 0.999568 u * (1.66 x 10⁻²⁷ kg/u) * (3.00 x 10⁸ m/s)²

Calculating the above expression will give us the binding energy B in joules (J).

The binding energy of a nucleus can be calculated by using the mass defect, which is the difference between the mass of the nucleus and the sum of the masses of its individual nucleons (protons and neutrons).

To find the binding energy of the last neutron in silicon-29, we need to compare the masses of silicon-29 (29 nucleons) and silicon-28 (28 nucleons).

The mass defect (Δm) is given by:

Δm = (mass of silicon-29) - (mass of silicon-28)

Δm = 28.976495 u - 27.976927 u

Δm = 0.999568 u

The binding energy (B) can be calculated using Einstein's mass-energy equivalence principle (E = mc²), where c is the speed of light:

B = Δm * c²

Now we need to convert the atomic mass unit (u) to kilograms (kg) for consistent units. We know that 1 u is approximately equal to 1.66 x 10⁻²⁷ kg.

B = 0.999568 u * (1.66 x 10⁻²⁷ kg/u) * (3.00 x 10⁸ m/s)²

Calculating the above expression will give us the binding energy B in joules (J).

Note: It is important to double-check and verify the values and constants used in the calculation for accuracy.

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What is the approximate number of wavelengths of light that can travel in 1 direction within a retroreflecting bead that has a diameter of 5 × 10-5 m? (Note: The speed of light = 3 × 108 m/s, and its frequency is approximately 1015Hz.)
0.6
1.7 × 10^2
1.5 × 10^4
3.3 × 10^6

Answers

The approximate number of wavelengths of light that can travel in one direction within a retroreflecting bead that has a diameter of 5 ×\(10^-^5\) m is 167.

Number of wavelengths of light in a retroreflecting bead with 5 × 10^-5 m diameter?

This calculation is based on the formula n = L/λ, where n is the number of wavelengths, L is the length of the object, and λ is the wavelength of light. To calculate the wavelength of light, we use the formula c = λf, where c is the speed of light and f is the frequency of light.

In this problem, we are given the diameter of the retroreflecting bead, which is assumed to be spherical. Therefore, its length is equal to its diameter, which is 5 × \(10^-^5\)m. We are also given the speed of light, which is 3 × \(10^8\) m/s, and an approximation of the frequency of light, which is \(10^1^5\) Hz.

Using the formula c = λf, we can solve for the wavelength of light:

λ = c/f = (3 ×\(10^8\) m/s)/\((10^1^5\)Hz) = 3 ×\(10^-^7\)m

Finally, we can use the formula n = L/λ to calculate the approximate number of wavelengths of light that can travel in one direction within the retroreflecting bead:

n = L/λ = (5 ×\(10^-^5\) m)/(3 ×\(10^-^7\) m) = 166.67 ≈ 167

Therefore, the approximate number of wavelengths of light that can travel in one direction within a retroreflecting bead that has a diameter of 5 ×\(10^-^5\) m is 167.

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