How many protons Z and how many neutrons N are there in a nucleus of the most common isotope of rubidium, 85/37Rb?
Separate your answers with a comma.
Z, N =

The ratio of height to radius for the cone with given volume and minimum surface area is 6/√π.

The ratio of height to radius for a cone with given volume V and minimum surface area can be found using the following formula:

h/r = √(4V/πr²)

where h is the height and r is the radius of cone.

Since the volume V is not given, let's assume that V = 210 cubic units.

To find the minimum surface area of the cone, we can use the formula:

S = πr√(r² + h²)

We want to minimize S while keeping V constant. To do this, we can use the method of Lagrange multipliers:

L = πr√(r² + h²) + λ(V - (1/3)πr^2h)

where λ is the Lagrange multiplier.

Taking partial derivatives with respect to r, h, and λ and setting them equal to zero, we get:

dL/dr = π(2r² + h² \()^{1/2}\) + (2/3)πλrh = 0

dL/dh = πrh(r² + h² \()^{-1/2}\)+ λ(1/3)πr² = 0

dL/dλ = V - (1/3)π\(r^{2h}\) =0              

Solving these equations, we get:

h/r = √(4V/πr²) = √(4(210)/πr²) = 6/√π

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Answer:

8.22m

Explanation:

As interpreted from this problem, the angle of launch is 90 degrees as it is thrown straight up. Given an angle launch of 90°, upward initial velocity of 12.7m/s, and initial height of 0m. A much simpler equation can be used to find the maximum height.

\(h_{max} = h_ {0} + \frac{{v_0}^{2} }{2g}\)

this means that the max height is equal to the initial height plus the initial velocity squared divided by 2 times the acceleration of earth's gravity(≈9.8m/s^2 or 10m/s^2 depending on how you fix it).

when substituted into the equation, you should get.

(9.8m/s^2)

hmax = 0 + ((12.7)^2)/(2*9.8)

hmax = 161.29/19.6 ≈ 8.22

hmax = 8.22m

Solution :

As the charge is stationary, hence

\($F_m= qvB \sin \theta$\)

\($F_m=0$\)

Hence, no torque at all.

When the charge is moving in positive x direction and the field will be in the negative y direction outside the bar, then :

\($F = q(V \hat i \times B(- \hat j))$\)

    \($= -qV B (\hat i \times \hat j)$\)

    \($=qVB(- \hat k)$\)

Hence, the force have direction \($(- \hat k)$\).

When instead of charge, an iron nail is used, then there will be induced magnetic field in the soft iron. The nature of the pole induced will be opposite near tot he bar. That is the north pole will be induced near the south pole and vice versa. That is why whichever be the pole of magnet closest to iron will be attracted by iron.

When another light bulb is connected in series to the first, the current in the power source will remain the same, but the voltage will decrease, resulting in less light output for both bulbs.

The current in the power source will remain the same when another light bulb is connected in series. This is because the current will flow through both bulbs, dividing the same amount of current between them. When two bulbs are connected in series, each bulb has the same current running through it and so each bulb produces the same amount of light. The total resistance of the circuit will also increase as each light bulb adds resistance in series. The increase in resistance results in a decrease in voltage, thus each bulb produces less light.

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Answer:

\(the \: net \: force = \: 50 - 15 = 35.\)

Answer:

Net force is going to be GREATER FORCE - LESS FORCE if they are working in opposite direction

so,

         50N - 15N = 35N

Answer:

3) flow of electrons, if im correct

Answer:

3

Explanation:

The flow of electrons. A current means the flow of electrons and without a current there would be no electricity therefore the bulb would not light up.

the plot of displacement versus time is a straight line that starts at (0,0) and ends at (6,4).Find the velocity for this time interval if fime is measured in seconds and displacement in meters.Solution:Given,Initial point (x1,y1) = (0,0)Final point (x2,y2) = (6,4)

The formula for velocity is given by:Velocity = displacement / time displacement = y2 - y1time = x2 - x1Put the given values in the formula to displacement = y2 - y1 = 4 - 0 = 4meters time = x2 - x1 = 6 - 0 = 6 secondsVelocity = displacement / time = 4/ Displacement is a vector quantity that refers to how far out of place an object is. The straight-line distance between the object's initial and final positions,

together with its direction and sense, is its magnitude and direction, respectively. Its SI unit of measurement is the meter (m).The change in displacement with respect to time is known as velocity. The magnitude of the velocity is referred to as the speed. Its SI unit is meters per second (m/s).The slope of the displacement-time graph gives the velocity, which is the rate at which displacement changes with time. A positive slope on the graph indicates a positive velocity, whereas a negative slope indicates a negative velocity. A horizontal line indicates a zero velocity.

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option c) "Yes, interference also occurs for both of these types of waves" is the correct answer.

Interference is a phenomenon that occurs when two or more waves interact with each other.

It leads to the formation of regions of constructive and destructive interference, resulting in patterns of alternating bright and dark areas.

When it comes to water waves and sound waves encountering a barrier with two slits, interference can indeed occur.

Water waves, such as waves on the surface of a pond or ocean, can exhibit interference patterns when passing through two slits. As the water waves propagate through the slits, they diffract and create overlapping wavefronts.

These overlapping wavefronts can interfere constructively or destructively, leading to regions of increased or decreased wave amplitudes.

Similarly, sound waves can also exhibit interference when passing through two slits or obstacles.

When sound waves encounter a barrier with two slits, they can diffract and generate interference patterns.

This phenomenon can be observed in various scenarios, such as when sound waves pass through a narrow opening or encounter an array of obstacles.

In both cases, interference occurs because water waves and sound waves exhibit wave-like properties and can interfere with each other.

However, it is worth noting that the specific characteristics of interference patterns can differ between different types of waves, such as light waves, water waves, and sound waves, due to variations in their wavelengths and propagation properties.

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Answer:

If they are looking at a large enoug h angle of incidence against a relatively calm surface, all the light will be internally reflected, allowing the  swimmers to see each other.

Explanation:

Answer:

Explanation: A continuous traveling wave with amplitude A is incident on a boundary. The continuous reflection, with a smaller amplitude B, travels back through the incoming wave. The resulting interference pattern is displayed in Fig. 16-51. The standing wave ratio is defined to be

The reflection coefficient R is the ratio of the power of the reflected wave to the power of the incoming wave and is thus proportional to the ratio  . What is the SWR for (a) total reflection and (b) no reflection? (c) For SWR = 1.50, what is expressed as a percentage?

Standing Wave Ratio for total reflection is

Standing Wave Ratio for no reflection is 1

R (reflection coefficient) for Standing Wave Ratio = 1.50 is 4.0%.

Answer: Hot

Explanation: Scientist use the color of starts to determine how hot the surface temperature is.

Astronomers call the vast, rotating cloud of vapor and dust from which the solar system formed as D) The Solar Nebula.

The Solar Nebula is the rotating cloud of gas and dust that is believed to have formed the Sun and the solar system approximately 4.6 billion years ago. This theory is supported by observations of other star-forming regions in our galaxy, which exhibit similar conditions and structures. As the Solar Nebula collapsed under its own gravity, it began to spin faster and flatten into a disk shape, with the Sun forming at the center and the planets forming from the material in the disk.

The Solar Nebula theory is currently the most widely accepted explanation for the formation of the solar system. It states that a rotating cloud of gas and dust collapsed under its own gravity, eventually forming the Sun and the planets.

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The electron will feel the greater magnitude force in the electric field between the parallel capacitor plates.

The equation: gives the force that a charged particle experiences in an electric field.

F = q * E

In this scenario, both the proton and the electron are placed equidistant between the two capacitor plates. Since the plates have a potential difference of 100 V and are parallel, the electric field strength between the plates can be calculated using the formula:

E = V / d

Given that the potential difference is 100 V and the distance between the plates is 10 cm (which is 0.1 m), we can calculate the electric field strength:

E = 100 V / 0.1 m

= 1000 V/m

Now, let's compare the forces experienced by the proton and the electron.

For the proton:

F_proton = q_proton * E

For the electron:

F_electron = q_electron * E

Since the charges of the proton and electron have the same magnitude but opposite signs (proton: +e, electron: -e), the magnitudes of their forces are equal:

|F_proton| = |F_electron|

However, since the electron has a smaller mass compared to the proton, its acceleration will be greater for the same magnitude force. Therefore, the electron will experience a greater magnitude force.

The electron will feel the greater magnitude force in the electric field between the parallel capacitor plates.

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The frequency of the sound used in the experiment is approximately 2443 Hz.

To determine the frequency of the sound used in the experiment, we can use the formula for the resonant frequencies of a closed air column tube:

f = (n/2L) * v

Where:

f is the frequency of the sound,

n is the harmonic number,

L is the length of the tube, and

v is the speed of sound.

Given the resonant lengths of the tube (7.05 cm, 21.15 cm, and 35.25 cm) and the temperature in the room (20.0 °C), we can calculate the speed of sound using the formula:

v = 331.4 + 0.6T

Where:

v is the speed of sound in m/s, and

T is the temperature in degrees Celsius.

First, let's convert the resonant lengths from centimeters to meters:

L1 = 7.05 cm = 0.0705 m

L2 = 21.15 cm = 0.2115 m

L3 = 35.25 cm = 0.3525 m

Next, let's calculate the speed of sound at 20.0 °C:

v = 331.4 + 0.6 * 20.0

v = 343.4 m/s

Now, we can calculate the frequency for each resonant length using the harmonic number (n) of 1, 2, and 3:

f1 = (1 / (2 * 0.0705)) * 343.4

f2 = (2 / (2 * 0.2115)) * 343.4

f3 = (3 / (2 * 0.3525)) * 343.4

Calculating these frequencies, we get:

f1 ≈ 2443 Hz

f2 ≈ 4885 Hz

f3 ≈ 7328 Hz

Therefore, the frequency of the sound used in the experiment is approximately 2443 Hz.

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Answer:

point c

Explanation:

the cart has accelerated and is at the lowest point on the path .

consider the acceleration due to gravity converting potential to kinetic energy

Answer:

Push and pull are both forces, but the difference is in their direction at which it is applied. If the force applied in the direction of motion of the particle then we call it push. If that force applied in the direction OPPOSITE to the motion of the particle then it it termed as pull

Answer:

c

3 half lifes have passed to get to 1/8

1/2 then 1/4 then 1/8

so 15*3

Explanation:

Answer:

The new volume of the \( NH_{3}\) sample is 3.27mL.

Explanation:

Given the following data;

Original Volume, V1 = 2.50-mL

Original Temperature, T1 = 325K

New Temperature, T2 = 425K

To find new volume V2, we would use Charles' law.

Charles states that when the pressure of an ideal gas is kept constant, the volume of the gas is directly proportional to the absolute temperature of the gas.

Mathematically, Charles is given by;

\( VT = K\)

\( \frac{V1}{T1} = \frac{V2}{T2}\)

Making V2 as the subject formula, we have;

\( V_{2}= \frac{V1}{T1} * T_{2}\)

\( V_{2}= \frac{2.50}{325} * 425\)

\( V_{2}= 0.0077 * 425\)

V2 = 3.27mL

Therefore, new volume of the \( NH_{3}\) sample is 3.27mL.

Explanation:

a = v-u/t

a is the acceleration of the body

v is the final velocity

u is the initial velocity

t is the time

Given

v = 30m/s

u = 0m/s

t = 15secs

Substitute

a = 30-0/15

a = 30/15

a = 2m/s²

Hence the acceleration of the wagon is 2m/s²

b) Force = mass * acceleration

Given

Mas of the wagon = 35kg

acceleration a = 2m/s²

F = 35*2

F = 70N

Hence the force required to get this acceleration is 70N

To find the current in the resistor, we can use Ohm's Law and the concept of equivalent resistance. Thus, option A is correct.

First, let's calculate the equivalent resistance of the three cells connected in parallel. When resistors are connected in parallel, the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual resistances:

1/Req = 1/R1 + 1/R2 + 1/R3

Given that R1 = R2 = R3 = 22 Ω (internal resistance of each cell), we can substitute the values:

1/Req = 1/22 + 1/22 + 1/22

1/Req = 3/22

Taking the reciprocal of both sides, we find:

Req = 22/3 Ω

Now we can use Ohm's Law to calculate the current (I) in the resistor. Ohm's Law states that the current flowing through a resistor is equal to the voltage across it divided by its resistance:

I = V/R

Given that V = 1.1 V (emf of each cell) and R = 32 Ω (resistance), we can substitute the values:

I = 1.1/32

Calculating this value, we find:

I ≈ 0.034375 A

Therefore, the current in the resistor is approximately 0.034375 A.

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A 25.5 kg video cart is rolled down a hallway. It is accelerated at 0.12 m/s2. If a force of 30 N is applied to move the cart . The wheels have 26.4 N  force of friction against the floor

Force of friction is that force  that resists the sliding or rolling of one solid object over another

F(applied) - friction = F net

30 - fr = mass * acceleration

30 - fr  = 25.5  *  0.12  

fr = 30 - 3.06

  = 26.4 N

The wheels have 26.4 N  force of friction against the floor

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The soccer ball will have a maximum height of hmax = (v02sin2θ)/(2g), where v0 is the initial velocity of the ball and g is the gravitational acceleration. So, hmax = (v02sin2(49°))/(2g).

The horizontal distance of the ball from the starting point is given by x = v0cosθ × t. In this case, the time of flight is t = tm = 1.5 s, so x = v0cos(49°) × 1.5.

The time of flight of a projectile launched at an angle is given by the equation:

v0 = tm*g/(2*sinθ)

v0 = 14.7 m/s

So the initial velocity of the soccer ball when it was kicked was 14.7 m/s.

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False. Meissner's corpuscles do not sense deep pressure.

Meissner's corpuscles, also known as tactile corpuscles, are specialized sensory receptors located in the dermal papillae of the skin, particularly in areas with high tactile sensitivity such as the fingertips, palms, and soles of the feet. They are most sensitive to light touch, fluttering sensations, and fine textures. Meissner's corpuscles are especially responsive to low-frequency vibrations.

However, when it comes to deep pressure, other sensory receptors are responsible for detecting and relaying this information to the brain. Pacinian corpuscles, located deeper in the skin and within connective tissue, are specialized receptors that sense deep pressure and high-frequency vibrations. These receptors are larger and more responsive to mechanical forces associated with deep pressure.

In summary, Meissner's corpuscles are not involved in sensing deep pressure. They are primarily associated with light touch and fine tactile discrimination, while Pacinian corpuscles are the receptors specialized for deep pressure sensations.

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Answer:

it's b I guess not sure

Explanation:

The reading of the balance for a body with mass 3kg and volume 4 × 10⁻⁴ in air and when fully immersed in water are 29.4N and 25.5N, respectively.

The weight of an object is the force which is acting on the object due to the influence of gravity. Weight is a vector quantity because it has both the magnitude and direction. The gravitational force acts on the object.

The reading of the balance when the body is in air, W = mg = (3) × (9.8) = 29.4 N

The reading of the balance when the body is fully immersed in water is:

F = mg − ρgV = (3) × (9.8) − (1000) × (9.8) × (0.0004) = 25.5 N

Therefore, the reading of the balance in the given conditions are 29.4N and 25.5N.

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Answer:2AgI + Na2S → Ag2S + 2NaI I am pretty sure this is the answer

Explanation:

The initial velocity of the car as it slow to rest with an acceleration of -5 m/s² is 11.5 m/s.

This can be defined as the ratio of displacement to the time of a body

To calculate the initial velocity of the car, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence the initial velocity of the car is 11.5 m/s

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The detection of quasars from such great distances is due to their extreme luminosity and the fact that they emit massive amounts of energy.

Quasars are the most energetic objects in the universe, and their bright emissions make them visible even at very large distances. On the other hand, even the biggest and most luminous galaxies cannot be seen from such distances because their emissions are not as powerful as those of quasars.

Quasars are actually supermassive black holes at the center of galaxies that are actively feeding on surrounding matter. As they consume matter, they emit large amounts of energy in the form of light, X-rays, and other types of radiation. This energy is what makes them visible from great distances, even beyond the limits of what other galaxies can achieve.

The fact that quasars can be detected from distances beyond the reach of other galaxies is a testament to their extreme power and luminosity. It also helps astronomers to study the universe at a deeper level and gain insight into the evolution of galaxies and supermassive black holes.

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the wave has a speed of 12 m/s.

Explanation:

Speed is directly proportional to wavelength and frequency. The wave has a frequency of 4 Hz. One Hertz (Hz) is equal to one cycle per second. The image shows that the wave has a wavelength of 3 m. Using the given speed and frequency, the wavelength can be calculated as shown below.

speed= wave length x frequency

speed = 3m x 4Hz

speed = 12m m/6