A 12.0-g sample of carbon from living matter decays at the rate of 184 decays/minute due to the radioactive 1144C in it. What will be the decay rate of this sample in (a) 1000 years and (b) 50,000 years?

Answer:

The commonly stated range of human hearing is 20 Hz to 20 kHz. Under ideal laboratory conditions, humans can hear sound as low as 12 Hz and as high as 28 kHz, though the threshold increases sharply at 15 kHz in adults, corresponding to the last auditory channel of the cochlea.

Explanation:

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Answer:

20 Hz to 20 kHz. Humans can hear sound as low as 12 Hz and as high as 28 kHz, though the threshold increases sharply at 15 kHz.

Explanation:

learned this in physics about 2 years ago and its stuck with me ever since lol. sorry i am not the best at explaining lol

Answer:

Explanation:

The energy is potential energy, mgh.

m = mass in kg

g = acceleration due to gravity (alot of talk about whether g is 9.8, 9.81 or 10)

h = height above your zero line (alot of times distance to the ground)

PE = mgh = 4 * 10 * 2 = 80 Nm or 80 Joules

The frequency of oscillation is approximately 686 kHz and the amplitude of oscillation is approximately 2.03 V.

The oscillator shown in the circuit is a Colpitts oscillator. The frequency of oscillation (f) and the amplitude of oscillation (A) of the output voltage (vo(t)) can be calculated using the following formulas:

f = 1 / (2π √(L1 L2 C1 C2 / (C1 C2 + C2 L1 + C2 L2)))

A = |(Ies R2 C2) / (2π f L1)|

where Ies is the emitter-to-base current of the transistor, L1 and L2 are the inductances, C1 and C2 are the capacitances, and R2 is the resistance of the circuit.

Substituting the given values:

Ies = 3 × 10⁻³⁰ A

L1 = 10 × 10⁻⁶ H

L2 = 250 × 10⁻⁶ H

C1 = 200 × 10¹² F

C2 = 0.04 × 10⁻⁶ F

R2 = 100 × 10³ Ω

We can first calculate the value of the denominator of the frequency formula:

C1 C2 + C2 L1 + C2 L2 = (200 × 10⁻¹² F) × (0.04 × 10⁻⁶ F) + (0.04 × 10⁻⁶F) × (10 × 10⁻⁶ H) + (0.04 × 10⁻⁶ F) × (250 × 10⁻⁶H) = 8.8 × 10⁻¹⁴ F

Then, we can calculate the value of the numerator under the square root:

L1 L2 C1 C2 = (10 × 10⁻⁶H) × (250 × 10⁻⁶ H) × (200 × 10⁻¹²F) × (0.04 × 10⁻⁶ F) = 2 × 10⁻¹⁸

Now we can substitute these values to calculate the frequency:

f = 1 / (2π √(2 × 10⁻¹⁸ / 8.8 × 10⁻¹⁴)) ≈ 686 kHz

Next, we can calculate the amplitude:

A = |(3 × 10⁻³⁰ A × 100 × 10³ Ω × 0.04 × 10⁻⁶ F) / (2π × 686 × 10³ Hz × 10 × 10⁻⁶ H)| ≈ 2.03 V

Therefore, the frequency of oscillation is approximately 686 kHz and the amplitude of oscillation is approximately 2.03 V.

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The change  in momentum is 435.6 Kgm/s

Newton's second law of motion states that the rate of change of momentum of an object is directly proportional to the force applied, and the change in momentum takes place in the direction of the applied force.

The mathematical expression of Newton's second law is as follows:

F = dp/dt

where F is the force applied on the object, p is the momentum of the object, and t is time. dp/dt represents the rate of change of momentum over time.

From this equation, we can see that the change in momentum (Δp) of an object due to a force is equal to the product of the force (F) and the time (Δt) over which the force is applied:

Δp = F Δt

From Newton's law;

Ft = mv - mu

Where mv - mu = Δp or change in momentum

Then;

Ft = 48.4 * 9 = 435.6 Kgm/s

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So free point OK ty see ya!

The drift velocity of electrons in the wire is \(6.5 x 10^{-5} m/s.\) It can be calculated by using drift velocity formula.

The drift velocity of electrons in a wire of diameter 2.7mm that carries a current of 3 A can be calculated using the formula:

Drift velocity = I/(n.A.e)

Where I is the current, n is the number of charge carriers per unit volume, A is the cross-sectional area of the wire, and e is the charge of an electron. Given that the diameter of the wire is 2.7mm, we can calculate the cross-sectional area as:

A =\(\pi r^2 = \pi (1.35mm)^2 = 5.73mm^2\)

Now, we can plug in the given values into the formula:

Drift velocity = \(3 A/(n . 5.73mm^2 . 1.6 . 10^{-19} C)\)

Assuming that the number of charge carriers per unit volume is 8.5 × 10^28 m^-3, we can calculate the drift velocity as:

Drift velocity = \(3 A/(8.5 . 10^{28} m^{-3} . 5.73 . 10^{-6} m^2 . 1.6 . 10^{-19} C) = 6.5 . 10^{-5} m/s\)

Therefore, the drift velocity of electrons in the wire is \(6.5 x 10^{-5} m/s.\)

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A 2.0-kilogram cart traveling at a constant speed in a horizontal circle of radius 3.0 meters. The magnitude of the centripetal force of the cart is 24 newtons. The speed of the car is 6 m/s. Thus, Option A is the correct answer.

To find the speed, the given values are,

Mass m = 2 Kg

Radius r =3 meters

Centripetal force = 24 Newtons.

A centripetal force is the force which is made up of two Latin words centrum which means center and peterum which means to seek.

It is defined a force which make a body to follow a curved path. The direction of this force is always orthogonal to the body's motion and it is always towards the fixed point which is instantaneous center of the path's curvature.

Centripetal force is expressed according to the formula;

F = mv²/r

m is the mass of the body

v is the speed of the cart

r is the radius

Substituting the values into the formula and get v,

24 = 2v²/3

24×3 = 2v²

72 = 2v²

v² = 72/2

v² = 36

v =√36

v = 6m/s

Hence, the speed of the cart is 6m/s. Thus, Option A is the correct answer.

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The magnitude of the average acceleration of the ball during this time interval is 2667 m/s².

The ball's initial velocity is 27.0 m/s, and its final velocity is 17.5 m/s.

We need to calculate the average acceleration of the ball during the 3.60 ms that it is in contact with the wall.

To do so, we can use the following formula:

average acceleration = (final velocity - initial velocity) / time interval

Since the time interval is given in milliseconds, we need to convert it to seconds by dividing it by 1000:

time interval = 3.60 ms ÷ 1000 = 0.00360 s

Now we can substitute the given values into the formula:

average acceleration = (17.5 m/s - 27.0 m/s) / 0.00360 s

average acceleration = -2667 m/s²

The negative sign indicates that the ball is accelerating in the opposite direction of its initial velocity.

This makes sense, as the ball bounces off the wall and changes direction.

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Answer:

\(118\; \rm Hz\).

Explanation:

The frequency \(f\) of a wave is equal to the number of wave cycles that go through a point on its path in unit time (where "unit time" is typically equal to one second.)

The wave in this question travels at a speed of \(v= 295\; \rm m\cdot s^{-1}\). In other words, the wave would have traveled \(295\; \rm m\) in each second. Consider a point on the path of this wave. If a peak was initially at that point, in one second that peak would be

How many wave cycles can fit into that \(295\; \rm m\)? The wavelength of this wave\(\lambda = 2.50\; \rm m\) gives the length of one wave cycle. Therefore:

\(\displaystyle \frac{295\;\rm m}{2.50\; \rm m} = 118\).

That is: there are \(118\) wave cycles in \(295\; \rm m\) of this wave.

On the other hand, Because that \(295\; \rm m\) of this wave goes through that point in each second, that \(118\) wave cycles will go through that point in the same amount of time. Hence, the frequency of this wave would be

Because one wave cycle per second is equivalent to one Hertz, the frequency of this wave can be written as:

\(f = 118\; \rm s^{-1} = 118\; \rm Hz\).

The calculations above can be expressed with the formula:

\(\displaystyle f = \frac{v}{\lambda}\),

where

Answer:

118

Explanation:

Answer:

Resistance of 5 & 10 in parallel

R510 = (5 * 10) / 15 = 3.33 ohms

Adding 4 + 3.33 = 7.33 ohms

This is in  parallel with 3 ohms giving

(7.33 * 3) / (7.33 + 3) = 2.13 ohms for combination

Now  (2 + 2.13) = 4.13 for upper half of circuit

8 / 4.13 = 1.94 amps in circuit

1.94 * 2 = 3.88 across 2 ohm resistor

8 - 3.88 = 4.12 across the  3 ohm resistor

I'm not sure what you mean by the 4 Q2 resistor

For this experiment on a solar collector, the variables include the following:

In Science, a variable can be defined as a measurable attribute or physical quantity that changes or varies across an experiment and as such can take on different numerical values.

For this experiment on a solar collector, there are different variables and these include the following:

Furthermore, you should determine both the greatest and smallest rate of temperature change for each of the trials by subtracting the initial temperature from the final temperature based on the numerical values obtained from this experiment.

In conclusion, the trial with the greatest numerical value has the greatest rate of temperature change while the trial with the smallest numerical value has the smallest rate of temperature change

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Complete Question:

1. What are the variables in this investigation?

2. Which trial had the greatest rate of temperature change?

3. Which trial had the smallest rate of temperature change?

The total number of significant digits in the given number is five. If the books are measured in packets of 10, the number of significant digits reduces to two.

The given data is: Total number of books in the library = 57,000. We are to determine how many significant digits are there in the result? For this, let us define what are significant digits: Digits that are used to communicate meaning or accuracy of measurements are known as significant digits. In other words, the digits that carry meaning contributing to its measurement uncertainty are called significant digits. It is used to determine the accuracy of the results. In this question, the total number of books in the library is given as 57,000. As there are five non-zero digits in the given number, there are five significant digits in the result. Will the result change if the books are measured in the packet of 10? If the number of books is measured in the packet of 10, then there will be a change in the number of significant digits. When we express 57,000 in the packet of 10, we get: 57,000 = 5.7 × 10^4. Now, there are only two significant digits in the result (5 and 7), and hence the result changes.

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The absolute value of the average force applied to the ball by the glove is 200 N The given quantities are,Mass of the ball, m = 1.0 kgInitial velocity of the ball, u = 20 m/sFinal velocity

The ball, v = 0 m/sTime taken to bring the ball to rest, t = 0.01 sThe average force applied on the ball to bring it to rest can be determined using the relation,F = m (v-u)/tSubstitute the values of m, v, u and t in the above relation to get,F = 1.0 × (0 - 20)/0.01Simplify the above expression to get,F = -200 N .

The negative sign indicates that the force applied is in the opposite direction of motion of the ball.The absolute value of the force is 200 N. Therefore, the absolute value of the average force applied to the ball by the glove is 200 N.

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Answer:

Is there any thing miss from the question

Answer: 20.4 m

Explanation: \(\frac{9.8^{2} }{Velocity} = Max Height\)

The answers to this test are:

1.  What is the maximum speed when the conditions are mass = 450 kg, initial height = 30 m, and the roller coaster car is initially at rest?  

24.2 m/s

2. A computational model predicts the maximum height that a roller coaster car can reach when the lowest height of its journey is at ground level, where it has a speed of 20 m/s. Given these conditions, what is the maximum height?

20.4 m

3. A computational model predicts the speed of a roller coaster car at different heights given its speed at the lowest height of its journey, which is at ground level. The speed at the lowest point is 30 m/s. What is the prediction for its speed when it is at a height of 20 m?

22.5 m/s

4. A computational model predicts the maximum potential energy a roller coaster car can have given its mass and its speed at the lowest point of its journey. Its mass is 350 kg, and it speed at a height of 0 m is 25 m/s. What is the prediction for its maximum potential energy?

109,375 J

5. What is the benefit of using simple computational models in a spreadsheet application, like the one used in this course, to predict mechanical energy and related values?

It is easy to calculate new scenarios.

Answer:

c. Y

Explanation:

Newton's third law of motion states that action and reaction are equal and opposite. Hence for every action, there is an equal and opposite reaction.

Considering the system of forces shown in the image, W and Y are  opposite forces. When the driver slams on the brakes, he will be pushed forward towards the windscreen. The force Y exerted by the seat belt keeps him on the drivers seat by moving him backwards towards the seat.

A 0.25 µF capacitor is connected to a 9.0 V battery. The charge on the capacitor is 2.25 µC. A capacitor's ability to store charge is determined by its capacitance, which is measured in farads (F).

A capacitor is an electrical component that stores electrical energy in an electric field between a pair of conductors. Capacitors of different sizes and types are used in various applications, ranging from smoothing and filtering power supply voltages to storing energy in pulsed lasers.

A capacitor's ability to store charge is determined by its capacitance, which is measured in farads (F). The voltage across the capacitor plates and the capacitance are both proportional to the amount of charge stored on the capacitor.

The formula for calculating the charge on the capacitor is given below: Q = CVWhere Q is the charge, C is the capacitance, and V is the voltage across the capacitor. In this case, the capacitance is 0.25 µF, and the voltage is 9.0 V. Thus, the charge on the capacitor is given by: Q = CV= 0.25 µF × 9.0 V= 2.25 µC

Thus, the charge on the capacitor is 2.25 µC.

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Answer:

When the parcel rises, its volume expands as it strives to maintain equilibrium with the lower pressure outside the air mass and pushes into the surrounding atmosphere. In this way, some of the thermal energy added to the air is used for expansion rather than warming.

The reason you only see fossils in sedimentary rock is that these set of rocks are formed in much lower pressure and temperature, compared to the other types of rocks like igneous rocks.

When the acceleration is at its highest positive value, the scale's normal force is at its greatest. The force is at its peak between 12 and 16 seconds.

The average interval time is the amount of time it should take a single lift to complete its cycle of picking up passengers on the ground floor, dropping them off at various upper floors, and then picking up passengers again on the lower floor. Where there are banks of lifts, the number of lifts in the group is divided by the average interval time. As compared to earth's surface, gravity's acceleration is less at greater altitudes, or on mountains. The time period lengthens because it is inversely proportional to the square root of the acceleration brought on by gravity.

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The one that is best set to use for separating a mixture of water, sugar, and pebbles is a filter and a hot plate. The correct option is B.

A mixture is made up of one or more pure substances that have varying compositions.

Mixtures are classified into two types: heterogeneous and homogeneous. Heterogeneous mixtures have distinct components, whereas homogeneous mixtures appear uniform throughout.

During distillation, the sugar solution is heated, causing water to evaporate and leaving the sugar behind.

After that, the water vapor is passed through an inclined tube. It cools due to the cold water around it and condenses to form water in a separate container.

Filters can generally separate mixtures of solids in liquids, solids in gases, and solids in solids. Filtration is the separation of unwanted particles from desired particles.

Thus, the correct option is B.

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Answer:

8.79 J

Explanation:

Given that a slinky is traveling down the stairs, like in the video clip below. What is the total KINETIC ENERGY of the slinky at the bottom of the stairs (just before it stops moving) IF the Height of the stairs is 2 meters, the weight of the slinky is 4.41 Newtons, its spring constant is 0.84 N/m, and the distance the slinky is initially stretched (to get it going) is 0.25 meters??

Total energy = mgh

Total energy = 4.41 × 2 = 8.82 J

Elastic potential energy = 1/2 × Ke^2

Elastic potential energy = 1/2 × 0.84 × 0.25^2

Elastic potential energy = 0.02625

Also,

Total energy = P.E + K.E

Substitute them into the formula above

8.82 = 0.02625 + K.E

K.E = 8.82 - 0.02625

K.E = 8.79375

K.E = 8.79 J

Therefore, the KINETIC ENERGY of the slinky at the bottom of the stairs is 8.79 Joules approximately

Answer:

The velocity-time graph is illustrated and it shows the speed and direction that's traveled by the bicycle.

A velocity-time graph simply shows the speed and the direction that an object travels over a particular period of time.

It should be noted that they're also known as the speed-time graph. On the vertical axis is the velocity of the object.

Since 60 minutes = 1 hour 3 minutes will be converted to hour. This will be:

= 3/60 = 1/20 hour.

5 minutes will be changed to hour. This will be: = 5/60 = 1/12 hours.

Explanation:

Answer:

I. 56

II. c is the speed of light in vacuum.

III. 385.180×10¯²⁷ Kg.

Explanation:

I. Determination of the value of p.

²³⁸₉₂U + ¹₀n —> ¹³⁹ₚBa + ⁹⁷₃₆Kr + 3 ¹₀n

92 + 0 = p + 36 + 3(0)

92 = p + 36

Collect like terms

92 – 36 = p

56 = p

Therefore, the value of p is 56

II. Determination of the meaning of c

ΔE = Δmc²

In the Einstein's equation above,

E => is the energy

m => is the mass

c => is the speed of light in vacuum.

III. Determination of the total mass of the element formed after the reaction.

From the reaction above, the elements formed after the reaction are:

Barium–139 and Krypton–97. Thus, we can obtain the total mass of the elements formed as follow:

Mass of Ba–139 = 232.560×10¯²⁷ Kg

Mass of Kr–97 = 152.620×10¯²⁷ Kg

Total mass =?

Total mass = mass of Ba–139 + mass of Kr–97

Total mass = 232.560×10¯²⁷ + 152.620×10¯²⁷

Total mass = 385.180×10¯²⁷ Kg

Answer:

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Explanation:

Answer:

7.35 seconds

Explanation:

The computation of the time passed prior to the ball reached to the highest point is as follows;

As we know that the acceleration because of gravity on earth is 9.8 m/s

As the ball is thrown directly in an upward direction with a speed of 72 m/s

So, the time passed prior to the ball reached to the highest point is

= 72 ÷ 9.8

= 7.35 seconds

Hence, the above represents the answer

The terrestrial planets receive more heat from the Sun and have a lower gravitational pull than the Jovian planets, which receive less heat from the Sun and have a much higher gravitational pull.

Because they are large and composed mostly of gas they are sometimes called gas giants. Small amounts of rocky material are found only deep within the core of Jupiter's planet. In the solar system, Jupiter planet is farther from the Sun than the terrestrial planets and is therefore cooler.

Terrestrial planets formed from rocky and metallic planetesimals but were ultimately too small to capture the large amounts of hydrogen and helium gases abundant in the solar nebula. But Jupiter's planet formed far from the Sun where ice and rock were abundant.

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The net effect of the sodium-potassium pump is to create a transmembrane electrical potential.

Sodium-potassium pump is a process in which sodium ions (Na+) are transported out of the cell while potassium ions (K+) are transported into the cell. The net effect of this process is that there is a greater concentration of K+ ions inside the cell and a greater concentration of Na+ ions outside the cell.

This creates an electrochemical gradient across the cell membrane. This gradient is what allows cells to carry out a variety of functions such as transmitting signals and carrying out metabolic processes. The electrochemical gradient is also what drives the movement of other molecules across the cell membrane.

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The time for the police car to catch up with the speeding motorist is 7.6 seconds.

The police car and the motorist will cover equal distances.

Let the distance covered be d.

Distance covered by the motorist  = speed * time

time = t, speed = 30 m/s

d = 30t

Distance covered by the police car = acceleration * (time)

time = t - 2, acceleration = 5.0 m/s²

d = 5(t-2)²

d = 5(t² - 4t + 4)

d = 5t² - 20t + 20

Equating the two equations for distance

5t² - 20t + 20 = 30t

5t² - 50t + 20 = 0

Solving for t using the quadratic formula:

t = 9.6 second or 0.4 seconds

Since t > 2, t = 9.6 seconds

t - 2 = 9.6 - 2

t - 2 = 7.6 seconds

Therefore, the time for the police car to catch up with the speeding motorist is 7.6 seconds.

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The magnetic flux is a maximum at ϕ = 90° and ϕ = 270°.

The magnetic flux is a minimum at ϕ = 0° and ϕ = 180°.

The magnetic flux is changing most rapidly between 0° and 90° and between 180° and 270°.

To determine the angles at which the magnetic flux is a maximum, minimum, and changing most rapidly in a rotating circular loop, we need to consider the relationship between the magnetic field and the orientation of the loop.

Part A: Magnetic flux is at its peak at the angle,

The magnetic flux is a maximum when the plane of the loop is perpendicular to the magnetic field. In the given figure, when the angle ϕ is 90° or 270°, the loop is in a position where its plane is perpendicular to the magnetic field. Therefore, at ϕ = 90° and ϕ = 270°, the magnetic flux is at a maximum.

Part B: Magnetic flux is minimum at the angles,

The magnetic flux is a minimum when the plane of the loop is parallel to the magnetic field. In the given figure, when the angle ϕ is 0° or 180°, the loop is in a position where its plane is parallel to the magnetic field. Therefore, at ϕ = 0° and ϕ = 180°, the magnetic flux is at a minimum.

Part C: Magnetic flux is rapidly changing at the angles,

The magnetic flux is changing most rapidly when the loop is transitioning between the maximum and minimum positions. In the given figure, this occurs when the angle ϕ is between 0° and 90° or between 180° and 270°. The specific angles within this range where the flux is changing most rapidly depend on the exact shape and orientation of the magnetic field and the loop.

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