You have a 6.0-in diameter cylindrical plastic cup of water filled to the brim. Two very small holes form a vertical distance 2 in. and 4 in. from the top of a cup. Determine the speed of the water leaving each hole (i) when the hole first forms

Answer:

importance of measurement is it gives proper required amount of anything if it will not exist then alot of work be disrupted .In many work measurement is very necessary like in scientific works

(a) The maximum load that may be applied to the specimen without plastic deformation is 91,000 N.

To calculate the maximum load, we can use the formula:

maximum load = stress × cross-sectional area

where stress is given as 280 MPa and the cross-sectional area is given as 325 mm^2. However, we need to convert the units to the SI unit of Pascal (Pa) to get the answer in Newtons (N).

1 MPa = 1 × 10^6 Pa

325 mm^2 = 325 × 10^-6 m^2

Substituting these values, we get:

maximum load = 280 × 10^6 Pa × 325 × 10^-6 m^2

maximum load = 91,000 N

Therefore, the maximum load that may be applied to the specimen without plastic deformation is 91,000 N.

(b) The maximum length to which the specimen may be stretched without causing plastic deformation is 115.28 mm.

To calculate the maximum length to which the specimen may be stretched without causing plastic deformation, we can use the formula:

maximum elongation = maximum stress / modulus of elasticity

where the maximum stress is given as 280 MPa and the modulus of elasticity is given as 115 GPa. However, we need to convert the units to the SI unit of Pa to get the answer in meters (m).

1 GPa = 1 × 10^9 Pa

Substituting these values, we get:

maximum elongation = (280 × 10^6 Pa) / (115 × 10^9 Pa)

maximum elongation = 0.00243

The maximum elongation is given as a ratio of the original length, so we can calculate the maximum length as:

maximum length = (1 + maximum elongation) × original length

maximum length = (1 + 0.00243) × 115 mm

maximum length = 115.28 mm

Therefore, the maximum length to which the specimen may be stretched without causing plastic deformation is 115.28 mm.

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Answer:

13

Explanation:

Brainlest pls

Answer:

B-13

Explanation:

The protons listed in the atom are 13, and the protons are the same number as the atomic number.

the plane is on a average of 100km a hour

Answer:

on average, the plane is traveling at 100km per hour, so i think the rate is 100:1

Explanation:

The absolute maximum shear stress in the shaft is determined by the torque applied and the geometry of the segments.

To calculate the shear stress, we can use the formula: τ = (T * r) / (J * c), where τ is the shear stress, T is the torque, r is the radius, J is the polar moment of inertia, and c is the distance from the center to the outermost fiber.

In segment CB with a diameter of 1 inch, the radius (r) is 0.5 inches, and the distance to the outermost fiber (c) is 0.5 inches as well. To determine the polar moment of inertia (J) for segment CB, we can use the formula: J = π/2 * (r^4).

Substituting the given values into the formula, we have J = π/2 * (0.5^4) = 0.0491 in^4.

Now we can calculate the shear stress: τ = (60 ln in/in * 0.5 in) / (0.0491 in^4 * 0.5 in) = 244.2 psi.

Therefore, the absolute maximum shear stress in the shaft is approximately 244.2 psi.

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The magnitude of the average angular acceleration is 0.104 \(rad/s^2\) and the angle the average angular acceleration vector makes with the horizontal is approximately 1.14 degrees.

We can use the formula for average angular acceleration to solve this problem:

α_avg = (ω_f - ω_i) / t

where α_avg is the average angular acceleration, ω_i is the initial angular velocity, ω_f is the final angular velocity, and t is the time interval.

(a) First, we need to convert the initial and final angular velocities from rpm to rad/s:

ω\(_i\) = 50 rpm x (2π rad/rev) x (1 min/60 s) = 5.24 rad/s

ω\(_f\) = 65 rpm x (2π rad/rev) x (1 min/60 s) = 6.80 rad/s

Substituting these values into the formula, we get:

α\(_a_v_g\) = (ω\(_f\)- ω\(_i\)) / t = (6.80 rad/s - 5.24 rad/s) / 15 s = 0.104 \(rad/s^2\)

Therefore, the magnitude of the average angular acceleration is 0.104 \(rad/s^2\).

(b) The angle the average angular acceleration vector makes with the horizontal can be found using trigonometry. Let's denote this angle by θ. We can use the following relationship:

tan(θ) =α\(_a_v_g\)  / ω\(_i\)

Substituting the values we found earlier, we get:

tan(θ) = 0.104\(rad/s^2\) / 5.24 rad/s

tan(θ) = 0.0199

Taking the inverse tangent of both sides, we get:

θ = \(tan^(^-^1^)\)(0.0199) = 1.14 degrees

Therefore, the angle the average angular acceleration vector makes with the horizontal is approximately 1.14 degrees.

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Answer:

B.) The cake rises as gas bubbles form in the baking cake.

Explanation:

I got A on the quiz

True, some solids exist in his regular structure known as a lattice.

A crystalline solid can be formed from the regular repeating three-dimensional structure of a solid called crystal lattice.

Solids can alos aggregate with no particular order, in which case they form an amorphous solid.

Thus, some solids exist in his regular structure known as a lattice.

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Answer:

The white car will cover the most distance every second.

Explanation:

The formula for the uniform speed of an object is given as follows:

\(s = vt\)

where,

s = distance covered by the object

v = speed of the object

t = time required

Now, if we assume time to be  constant at 1 s. Then the distance covered by each car will be directly proportional to the speed of the car. Hence, the car with the greatest speed will travel the greatest distance in 1 second.

We, have:

Speed of white car > Speed of red car > Speed of green car

Therefore, the white car will cover the most distance every second.

Answer:

0.385 meters

Explanation:

Just remember this very simple equation:

velocity=(wavelength)*(frequency)

I always remember it as "Velma is Waving Frantically"

So, 125=(wavelength)*(325)

Therefore, wavelength=0.385 meters!

Hope this helped!

Explanation:

the answers are calculated in above pictures

Explanation:

Please, check the question properly

Data obtained from the measurements of potential difference as well as the corresponding distances (r) from the center of solid conducting sphere, can be used to determine the net charge on the sphere.

When the data is plotted as VAB versus 1/r, it forms a straight line with a slope of -18.0 V⋅m. The slope of this line is related to the charge on the sphere.

To find the net charge, we can use the relationship between electric potential difference (V), charge (Q), and distance (r):

V = k * (Q/r)

Where:
- V is the electric potential difference between points A and B
- k is the electrostatic constant (9.0 x 10⁹ N⋅m²/C²)
- Q is the net charge on the sphere
- r is the distance from the center of the sphere to point B

Since the slope of the straight line in the plot is -18.0 V⋅m, we can equate this to the expression for V:

-18.0 V⋅m = k * (Q/r)

Simplifying the equation, we have:

(Q/r) = -18.0 V⋅m / k

Now, to find the net charge on the sphere, we need to solve for Q. We can rearrange the equation as follows:

Q = (-18.0 V⋅m / k) * r

Since the radius of the sphere is given as 5.00 cm (or 0.05 m), we can substitute this value into the equation:

Q = (-18.0 V⋅m / k) * 0.05 m

Calculating the value using the given value of k, we find:

Q ≈ -18.0 V⋅m * 0.05 m / (9.0 x 10⁹ N⋅m²/C²)

This calculation gives us the net charge on the solid conducting sphere. However, it is important to note that the negative sign in the equation indicates that the net charge is negative.

So, the data obtained from the measurements of the potential difference and the corresponding distances allows us to determine the net charge on the sphere.

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Answer:

bromine

Explanation:

Any element in the halogen group will have seven valence electrons. These elements include fluorine, chlorine, bromine, iodine, and astatine

It take "1.49 sec" to hit the moon's surface. A further explanation is provided below.

According to the question,

Height,

Acceleration of gravity,

Initial velocity,

With the help of the equation,

→ \(t^2 = \frac{2d}{a}\)

By substituting the values, we get

→     \(= \frac{2\times 1.2}{1.62}\)

→     \(= \frac{2.4}{1.62}\)

→     \(= 1.49 \ sec\)

Thus the above answer is right.

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The  correct  processes based on the type of energy transfer they involve can be linked as ;

Conduction, radiation, and convection are the three different ways that thermal energy is transferred. Only fluids experience the cyclical process of convection.

The total amount of energy in the universe has never changed and will never change because it cannot be created or destroyed.

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One physical force that can change an object from one phase to the next is temperature. The phase of matter is determined by the arrangement and movement of its particles. As temperature changes, the average kinetic energy of the particles also changes, causing them to move faster or slower.

This change in movement can lead to a change in the arrangement of particles, which ultimately changes the phase of the matter.
For example, if a solid is heated, the particles gain energy and vibrate faster, causing the bonds between particles to weaken. Eventually, the bonds break, and the particles are able to move freely, resulting in a liquid phase. Similarly, if a liquid is cooled, the particles lose energy and move slower, causing the bonds between particles to strengthen. Eventually, the particles will become fixed in a rigid pattern, resulting in a solid phase.

Therefore, temperature can act as a physical force to change the phase of matter, and it is a fundamental concept in the study of thermodynamics and phase transitions.

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Answer: There are many problems associated with digitized DNA storage.

Explanation:

The cost of encoding the DNA data is high and lot of working efficiency is required for the same. The encoding process requires a considerable amount of time and encoding is slow. It takes about 400 bytes per second. This is done in a silicon memory chip. The process is millions of times slower.

The spectrum observed from the Sun (or any star) would exhibit an absorption spectrum. This is because the outer gaseous atmosphere of the star absorbs specific wavelengths of light, resulting in dark absorption lines in the spectrum.

In the cooler, lower-density outer atmosphere, where white light from the star travels, some atoms or molecules in the atmosphere absorb photons with particular energy. In the spectrum, these absorptions show up as black lines at specific wavelengths. The specific set of absorption lines that each element or molecule generates results in a distinctive pattern that can be used to identify the elements that are present in the star's atmosphere.

The absorption spectrum offers insightful data on the chemical make-up and physical characteristics of the star. Astronomers can ascertain the elements present, their abundances, and other characteristics like the temperature, pressure, and velocity of the star's atmosphere by examining the absorption lines.

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Answer:

here is the answer

Explanation:

a) since displacement is given as a negative value, object must travelling i the negative direction (with respect to a cartesian plane).

b) after 1 second

v = u + at

v = -4 + 3× 1

v = -4 + 3

v = -1 m/s

after 2 seconds

v = -4 + 3×2

v = -4 + 6

v = 2 m/s

after 3 seconds

v = -4 + 3×3

v = -4 + 9

v = 5 m/s

c) we need to find the position after three seconds

initial velocity= u= -4m/s

final velocity = v= 5 m/s  ( as previously calculated)

acceleration=3m/s²

s = ut + 1/2 × at²

s = -4×3 + 1/2 × 3×(3)²

s = -12 + 1/2 × 27

s = -12 + 27/2

s = 1.5 meters   ( in the positive direction; as time has increased and acceleration in positive)

position = -2 + 1.5 = -0.5 meters

(s indicates distance travelled)

The work done during this part of its motion by the cable that lifts the elevator is 64844 Joule.

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Upward acceleration of the elevator is = 1.2 m/s².

Mass of the  elevator is  = 580 kg

Displacement of the elevator = 13 m

Hence, the work is done during this part of its motion by the cable that lifts the elevator = 580 × (9.8 + 1.2) ×13 Joule

= 64844 Joule.

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In quantum mechanics, the wavefunction of a particle in an infinite well can be described as a standing wave, which is a superposition of two traveling waves propagating in opposite directions.

The standing wave function in an infinite well is given by:

ψ(x, t) = A sin(kx) e^(-iωt)

Using the Euler's formula, we can rewrite the sine function as a sum of exponential functions:

sin(kx) = (1/2i) * (e^(ikx) - e^(-ikx))

Substituting this back into the standing wave function, we have:

ψ(x, t) = A (1/2i) * (e^(ikx) - e^(-ikx)) * e^(-iωt)

Simplifying the expression, we obtain:

ψ(x, t) = (A/2i) * (e^(ikx - iωt) - e^(-ikx - iωt))

Now, we can define two traveling waves:

ψ_1(x, t) = (A/2i) * e^(ikx - iωt)

ψ_2(x, t) = (A/2i) * e^(-ikx - iωt)

The superposition of these two traveling waves gives us the standing wave function:

ψ(x, t) = ψ_1(x, t) + ψ_2(x, t)

Therefore, we have shown that the infinite well's standing wave function can be expressed as a sum of two traveling waves propagating in opposite directions.

By expressing the sine function in terms of exponential functions and defining two traveling waves, we can show that the infinite well's standing wave function can be written as the sum of these two traveling waves. This demonstrates the connection between standing waves and the superposition of traveling waves in the context of quantum mechanics.

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Answer:

Muscovite mica. Flourite. Olivine.

The mineral that should be hard sufficient to scratch calcite at the same time it should be hard enough to scratch amphibole is fluorite.

Fluorite refers to the mineral form of calcium fluoride, CaF₂.  It should belong to the halide minerals. It should be crystallized in isometric cubic habit.

So based on this we can say that The mineral that should be hard sufficient to scratch calcite at the same time it should be hard enough to scratch amphibole is fluorite.

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The correct order of increasing impedance is:

C. PZT, gel, skin, matching layer

Impedance is a measure of the opposition to the flow of sound waves in a medium. It depends on the density and speed of sound in the material. In the given options, the order of increasing impedance can be determined by considering the properties of the materials involved.

PZT (lead zirconate titanate) has a higher impedance than gel, skin, and the matching layer. PZT is a piezoelectric material commonly used in ultrasound transducers and has a higher density and speed of sound, leading to higher impedance.

Gel has a lower impedance compared to PZT but higher impedance than skin and the matching layer. Gel is used as a coupling medium between the transducer and the skin to enhance acoustic coupling and minimize impedance mismatch.

Skin has a lower impedance than both gel and the matching layer. It is the outermost layer and acts as an interface between the transducer and the biological tissue.

The matching layer has the lowest impedance among the given options. It is designed to match the impedance of the PZT to the impedance of the tissue being imaged, facilitating efficient sound transmission.

Therefore, the correct order is C.

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Answer:

a.149 °F into °C

149 - 32 = 117

117 x 5 = 585

585 / 9 = 65

149 °F = 65 °C

b.149 °F into Kelvin

(149°F − 32) × 5/9 + 273.15 = 338.15K

If the output voltage of the generator dropped below battery voltage and the RCR (reverse current relay) failed in the closed position, the battery would begin to discharge back through the generator.

This can cause the generator to overheat and may damage the internal components.

The battery could also become damaged due to excessive charging. In addition, the electrical system of the vehicle may experience fluctuations in voltage,

which could affect the operation of other components such as lights, radio, and other electronic devices.

It is important to have a functioning RCR in the system to prevent this type of situation from occurring, as it acts as a safety mechanism to prevent reverse current flow from the battery to the generator.

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Answer:

True

Explanation:

When no net force is applied to a moving object, it still comes to rest because of its inertia.

It is a true statement that an object wants to maintain its state of motion because it has mass, as per the first law of the motion due to the effect of inertia an object tries to maintain its state of motion whether it would be a state of motion or the state of the rest.

According to Newton's first law, until pushed to alter its condition by the intervention of an external force.

Every object will continue to be at rest or in uniform motion along a single direction.

It is true that an item wants to keep moving because it has mass. According to the first law of motion, this is because of the influence of inertia, which causes an entity to try to keep moving whether it is in movement or at standstill.

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A. The potential energy for the child just as she is released (PE_initial) is equal to the potential energy at the bottom of the swing (PE_bottom), which is zero.

B. She will be moving at the bottom of the swing at v = sqrt(2 * g * L).

C. The work done by the tension in the ropes is equal to the gravitational potential energy of the child at the initial position, which is m * g * L.

A: The potential energy for the child just as she is released can be compared to the potential energy at the bottom of the swing.

At the initial position, the potential energy is given by the formula:

PE_initial = m * g * h_initial

Since the child is released from rest, her initial height (h_initial) is equal to the length of the support ropes (L). Therefore, we have:

PE_initial = m * g *

At the bottom of the swing, the potential energy is given by:

PE_bottom = m * g * h_bottom

The height at the bottom of the swing (h_bottom) is zero because the child is at the lowest point of the swing. Hence, we have:

PE_bottom = m * g * 0 = 0

Therefore, the potential energy for the child just as she is released (PE_initial) is equal to the potential energy at the bottom of the swing (PE_bottom), which is zero.

B: To determine the speed of the child at the bottom of the swing, we can use the principle of conservation of mechanical energy. At the highest point, all of the potential energy is converted into kinetic energy.

Initial potential energy (PE_initial) = Final kinetic energy (KE_bottom)

m * g * L = (1/2) * m * v^2

Simplifying the equation, we find:

v = sqrt(2 * g * L)

C: The work done by the tension in the ropes as the child swings from the initial position to the bottom is equal to the change in mechanical energy. It is given by:

Work = PE_initial - PE_bottom = m * g * L - 0 = m * g * L

Therefore, the work done by the tension in the ropes is equal to the gravitational potential energy of the child at the initial position, which is m * g * L.

Note: The given value of the angle ϕ is not required to solve parts A, B, and C of the problem.

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Answer:

1840 J

Explanation:

From the question given above, the following data were obtained:

Specific heat capacity (C) = 0.46 J/gºC

Mass (M) = 50 g

Initial temperature (T₁) = 20 °C

Final temperature (T₂) = 100 °C

Heat (Q) required =?

Next, we shall determine the change in the temperature. This can be obtained as follow:

Initial temperature (T₁) = 20 °C

Final temperature (T₂) = 100 °C

Change in temperature (ΔT) =?

ΔT = T₂ – T₁

ΔT = 100 – 20

ΔT = 80 °C

Finally, we shall determine the heat required. This can be obtained as follow:

Specific heat capacity (C) = 0.46 J/gºC

Mass (M) = 50 g

Change in temperature (ΔT) = 80 °C

Heat (Q) required =?

Q = MCΔT

Q = 50 × 0.46 × 80

Q = 1840 J

Thus, 1840 J of heat energy is required.

Answer:

travels

Explanation:

hope this helps and have a blessed day