1. A brick and a peanut are dropped of the roof of a house at the same time, which
object hits the ground first? (Ignore air resistance).

Answer:

true matter takes up space and is anything that is around us

Answer:

D

Explanation:

projectile motion

is the answer

Answer: Answer is D

Explanation:

A surface receiving sound is moved from its original position to a position three times farther away from the source of the sound. The intensity of the received sound thus becomes nine times as low.

A surface receiving sound is moved from its original position to a position three times farther away from the source of the sound. The intensity of the received sound thus becomes nine times lower . Option(B) is correct.

The power of sound per unit area is used to define sound intensity. The measurement of sound intensity in the air is the typical context. The surface of the sound source also plays a role. The kinetic energy of the mass of air is produced by the source's and the vibrating surface's increasing amplitudes.

With the air's mass vibrating and with its average speed, this kinetic energy rises. The distance from the sound source affects how strongly the ear perceives a sound. The characteristics of the elastic medium between a sound source and the ear also affect intensity. The sounds are weakened by non-elastic materials like wool, felt, etc.

Mathematically: sound intensity = acoustic pressure/normal area to the direction of propagation.

So, when a surface receiving sound is moved from its original position to a position three times farther away from the source of the sound, its normal area becomes 9 times larger and intensity of the received sound thus becomes nine times lower .

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The tension required to pull the cart up the incline at a constant speed is more than that required to pull the cart down the incline at a constant speed.

When a cart moves on an incline at constant speed, it is in a state of dynamic equilibrium, meaning that the net force acting on it is zero. This implies that the force of gravity acting on the cart down the incline is exactly balanced by the force exerted by the tension in the string pulling the cart up the incline.

To pull the cart up the incline at a constant speed, the tension in the string must be greater than the force of gravity acting on the cart, since the force of gravity is acting in the opposite direction of the motion.

Conversely, to pull the cart down the incline at a constant speed, the tension in the string must be less than the force of gravity acting on the cart, as the force of gravity is aiding the motion.

The difference in tension is due to the opposing force of gravity that affects the motion of the cart in different directions.

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By Using Euler's method with two steps, we can find the approximate value of Y(2) is 2.125. , where Y is the solution of the initial value problem dy/dx = x - y, and Y(1) = 3.

Euler's method is defined as a numerical technique which is  used to approximate solutions into ordinary differential equations. The method includes dividing the interval of interest into smaller steps and thereafter approximating the solution at each step by using the derivative of the function.

In this case, we are given the initial value problem dy/dx = x - y, with the initial condition Y(1) = 3. To approximate Y(2) using Euler's method with two steps, we will divide the interval [1, 2] into two equal steps.

Step 1:

We start with the initial condition Y(1) = 3. Using the differential equation dy/dx = x - y, we can approximate the value of Y at the midpoint of the interval [1, 2].

Using the step size h = (2 - 1) / 2 = 0.5, we can calculate Y(1.5) as follows:

Y(1.5) ≈ Y(1) + h × (x - y) = 3 + 0.5 × (1.5 - 3) = 3 + 0.5 × (-1.5) = 2.25

Step 2:

Now, using the value of Y(1.5) as the new approximation, we calculate Y(2) using the same process:

Y(2) ≈ Y(1.5) + h × (x - y) = 2.25 + 0.5 × (2 - 2.25) = 2.25 + 0.5 × (-0.25) = 2.125

Thus,  by using Euler's method with two steps, the approximate value of Y(2) is 2.125.

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The complete question is

Use Euler's Method With Two Steps To Approximate Y(2), Where Y Is The Solution Of The Initial Value Problem: Dy : X − Y, Y(1) = 3

Time taken to reach water :

\(t = \dfrac{D}{v}\\\\t=\dfrac{6.78}{8.06}\ s\\\\t=0.84\ s\)

Now, initial vertical speed , u = 0 m/s.

By equation of motion :

\(h = ut +\dfrac{at^2}{2}\)

Here, a = g = acceleration due to gravity = 9.8 m/s².

So,

\(h = 0(t) +\dfrac{9.8\times 0.84^2}{2}\\\\h=3.46\ m\)

Therefore, the height of the bridge is 3.46 m.

Hence, this is the required solution.

Answer: the weight would be 4.6 (I think i don’t know))

Explanation:

R(F) = 4F - 160

a. R¹(P) represents the temperature at which a cricket chirps at a rate of P chirps per minute.

b. R(60) refers to the chirping rate of the cricket when the temperature is 60 degrees Fahrenheit, while R¹(60) represents the temperature at which the cricket chirps at a rate of 60 chirps per minute.

The equation R(F) = 4F - 160 represents the relationship between the temperature of the cricket's environment (F) and its chirping rate (R). By plugging in different temperature values, we can determine the corresponding chirping rate.

For example, when we calculate R(60), we find the chirping rate at 60 degrees Fahrenheit.

In this case, R(60) = 4(60) - 160 = 240 - 160 = 80 chirps per minute.

On the other hand, when we calculate R¹(60), we are looking for the temperature at which the cricket chirps at a rate of 60 chirps per minute. Solving the equation 60 = 4F - 160, we find F = 70 degrees Fahrenheit. Therefore, R¹(60) = 70.

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Answer:

negative y direction

Explanation:

Use Fleming's left hand rule

Fleming’s left - hand rule states that if we stretch the thumb, middle finger and the index finger of the left hand in such a way that they make an angle of 90 degrees(Perpendicular to each other) and the conductor or charged particle placed in the magnetic field experiences Magnetic force.

Such that:

 Thumb: It points towards the direction of force (F)

Middle Finger: It represents the direction of the current (I)

Index Finger:  It represents the direction of the magnetic field (B)  

Since current travels in the opposite direction to the negatively charged electron you have to point the middle finger in the positive z direction and Index finger in positive x direction. Then the thumb will be poinTed in the negative y direction

The difference between the natural fibers and synthetic fibers is like synthetic fibers are produced using chemicals while, natural fibers are derived from plants and animals and are appreciated in the textile business for several factors.

The fibers that come from natural sources are known as natural fibers. The origins can range from zoological to botanical components. In other words, natural fibers are those that are obtained from plants and animals in their natural state. Wool, silk, hemp, cotton, and linen are a few examples of fabrics that naturally breathe.

Synthetic fibers are produced through a sequence of chemical processes, as their name suggests. These fibers are produced using a variety of chemical compounds rather than being derived from natural sources.

The creation of tiny molecules known as polymers is the process used to create synthetic, artificial, or man-made fibers. In most cases, raw materials and chemical compounds are used to extract polymers. Nylon, polyester, acrylic, and more are a few examples.

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Answer: An object is in motion when its distance from another object is changing . A reference point is a place or object used for comparison to determine if something is in motion. An object is in motion if it changes position relative to a reference point. You assume that the reference point is stationary, or not moving

Explanation:

Aerobic respiration occurs in the mitochondria's cytoplasm. Anaerobic respiration results in the production of two ATP molecules. Prokaryotes, which are human muscle cells, engage in anaerobic respiration. Thus, option C is correct.

All species' cells engage in cellular respiration. Utilizing oxygen, the cell converts the food (glucose) into carbon dioxide and water. The process of breaking down glucose while using oxygen is referred to as aerobic respiration.

Therefore, all living organisms carry out some form of respiration.

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A 2.5×106 N/C value and b) 102.71×106 m/s value.          

The following expressions must be used to illustrate this issue:

The equation for the electric field and voltage is E=V/d. The separation between the plates is measured by d.

Also, we are aware of

According to the formula e×V=(m×\(v^{2}\))/2, the change in potential energy is acquired by the electrons and transformed into kinetic energy.

v= \((2×e×V/m)^{1/2}\)= (2×1.6×\(10^{-19}\)×30000/9.1×\(10^{-31}\))

^1/2=102.71 ×\(10^{6}\) m/s.

Potential energy is energy that is conserved or stored in a substance or an item. The object or substance's position, organization, or state determines the amount of stored energy. You can consider it as energy that possesses the "potential" to perform labor.            

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The angular speed of the horse that which is 7 m from the cenetr of a merry go round is 252 m/s.

Angular speed is the rate at which an object changes it angles which we measure in radians in a given time.

To calculate the angular speed of the horse, we use the formula below.

Formula:

Where:

Substitute these values into equation 1

Hence, the angular speed of the horse is 252 m/s.

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Uranus has the largest axial tilt or inclination.

Among the jovian planets (Jupiter, Saturn, Uranus, and Neptune), Uranus has the largest axial tilt or inclination. Uranus is known for its extreme axial tilt of approximately 98 degrees. This means that the axis around which Uranus rotates is almost parallel to its orbital plane around the Sun. As a result, Uranus experiences extreme seasons, with one pole constantly facing the Sun for a prolonged period while the other pole remains in darkness. The large axial tilt of Uranus distinguishes it from the other jovian planets, which have relatively smaller axial tilts.

Out of these four planets, Uranus has the largest axial tilt, with a tilt of approximately 97.8 degrees. This means that its rotational axis is almost parallel to its orbital plane. As a result, the polar regions of Uranus receive more sunlight than the equatorial regions during different parts of its orbit, leading to some unusual weather patterns and phenomena.

Jupiter has an axial tilt of only 3.13 degrees, Saturn has a tilt of 26.73 degrees, and Neptune has a tilt of 28.32 degrees. Therefore, Uranus has the largest inclination or axial tilt of all the Jovian planets.

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(a) The gyromagnetic ratio is g = (gl + gs)/2 + (gl - gs)/2 * (l - 1/2)/j

The gyromagnetic ratio for the cases when the nucleon spin is aligned and anti-aligned with the angular momentum can be found by substituting the values of j into the equation for the gyromagnetic ratio. For the aligned case, j = l + 1/2, so the gyromagnetic ratio is:

g = (gl + gs)/2 + (gl - gs)/2 * (l + 1/2)/j

For the anti-aligned case, j = l - 1/2,

so the gyromagnetic ratio is: g = (gl + gs)/2 + (gl - gs)/2 * (l - 1/2)/j

(b) For a neutron, gl = 0 and gs = -1.91, and for a proton, gl = 1 and gs = 2.79.

To plot the values of the gyromagnetic ratio as a function of j for nuclei with one unpaired neutron and for nuclei with one unpaired proton, we can use the expressions found in part (a) and substitute the values of gl and gs for a neutron and a proton, respectively. For a neutron, gl = 0 and gs = -1.91, and for a proton, gl = 1 and gs = 2.79. The plots will show the variation of the gyromagnetic ratio with j for the two cases.

(c) The magnetic moments are calculated as:

M(7Li) = (1 + 2.79)/2 + (1 - 2.79)/2 * (1 + 1/2)/(3/2) * μN * (3/2) = 3.26μN
M(7Be) = (0 - 1.91)/2 + (0 + 1.91)/2 * (1 - 1/2)/(3/2) * μN * (3/2) = -1.91μN

The nuclear magnetic moment can be written in terms of the nuclear magneton as M = gμNj, where μN is the nuclear magneton. To compute the magnetic moments of the mirror nuclei 7Li and 7Be, we can use the expressions found in part (b) and substitute the values of j, gl, and gs for the two nuclei.

For 7Li, j = 3/2, gl = 1, and gs = 2.79, and for 7Be, j = 3/2, gl = 0, and gs = -1.91. The magnetic moments can be calculated as:
M(7Li) = (1 + 2.79)/2 + (1 - 2.79)/2 * (1 + 1/2)/(3/2) * μN * (3/2) = 3.26μN
M(7Be) = (0 - 1.91)/2 + (0 + 1.91)/2 * (1 - 1/2)/(3/2) * μN * (3/2) = -1.91μN

(d) The magnetic moment is calculated as: M(17F) = (1 + 2.79)/2 + (1 - 2.79)/2 * (1 + 1/2)/(5/2) * μN * (5/2) = 2.63μN

To compute the magnetic moment of a 17F nucleus, we can use the same expression as in part (c) and substitute the values of j, gl, and gs for the 17F nucleus. For 17F, j = 5/2, gl = 1, and gs = 2.79.

The magnetic moment can be calculated as:
M(17F) = (1 + 2.79)/2 + (1 - 2.79)/2 * (1 + 1/2)/(5/2) * μN * (5/2) = 2.63μN

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Yes, it is possible for both the pressure and volume of a monatomic ideal gas to change without causing the internal energy of the gas to change. This occurs when the gas undergoes an adiabatic process, meaning there is no heat transfer between the gas and its surroundings.

In an adiabatic process, the change in internal energy (ΔU) is solely dependent on the work done on or by the gas (W). According to the first law of thermodynamics, ΔU = Q + W, where Q is the heat transfer. Since Q = 0 in an adiabatic process, ΔU = W.

For the internal energy of the gas to remain constant (ΔU = 0), the work done on or by the gas must also be zero. This can be achieved through a specific path in the pressure-volume (PV) diagram, where the gas expands and does work on its surroundings, followed by compression, with the surroundings doing an equal amount of work on the gas. The net work done over this process will be zero, ensuring the internal energy remains unchanged.

In summary, it is possible for both the pressure and volume of a monatomic ideal gas to change without affecting its internal energy by undergoing an adiabatic process with zero net work done.

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Answer:

F = 7.7 [N]

a = 2.2 [m/s²]

Explanation:

In the attached picture we see the forces on the wooden block, the total force is obtained by means of the sum of the pushforce and the friction force.

\(F_{total}=12.5-4.8\\F_{total}=7.7[N]\)

Now we must apply Newton's second law, which tells us that the total force on the body must be equal to the product of mass by acceleration.

\(F=m*a\)

\(7.7=3.5*a\\a=2.2[m/s^{2} ]\)

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The production function will have constant returns to scale if 2αβ = 1

Constant returns to scale (CRS) implies that if all inputs increase by a factor of λ, the output increases by λ as well. The requirement for constant returns to scale (CRS) in a Cobb-Douglas production function with a new input factor is given by the sum of exponents on all variables equal to 1.

In this case, Y = AKαLβMγ.

Thus, we have that α + β + γ = 1 for constant returns to scale in K, L, and M, because the sum of the exponents is 1.

If the sum of the exponents is less than 1, it indicates decreasing returns to scale. If the sum of the exponents is greater than 1, it indicates increasing returns to scale. If we take γ = 0, we obtain the production function used in class, which is Y = AKαLβ, thus α + β = 1 for constant returns to scale in K and L.

When γ = 0, the answer we get is consistent with what we learned in class. Now, we consider the constant elasticity of substitution (CES) technology, where Y = [aKα + bLα]β. The production function will have constant returns to scale (CRS) in K and L if the sum of the exponents of K and L is equal to 1.

Therefore, αβ + αβ = 1, implying 2αβ = 1.

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Answer: 1.480 mm/s

Explanation:

Given

Cross-sectional area \(A=0.80\times 10^{-6}\ m^2\)

Number density(no of charges per unit volume) \(n=9.5\times 10^{28}\ m^{-3}\)

Current \(I=18\ A\)

We know, drift velocity is given by

\(\Rightarrow v_d=\dfrac{I}{neA}\\\Rightarrow v_d=\dfrac{18}{9.5\times 10^{28}\times 1.6\times 10^{-19}\times 0.8\times 10^{-6}}\\\Rightarrow v_d=\dfrac{18\times 10^{-3}}{12.16}=1.480\ mm/s\)

The current in the ionic liquid can be found using the formula: Current = (n*A*e*(v1-v2))

The current can be determined using the formula given below:

Current = (n*A*e*(v1-v2))

where n is the density of the positive and negative charge carriers, A is the cross-sectional area of the cylinder, e is the charge carried by the positive and negative ions, and v1 and v2 are the drift velocities of the positive and negative ions, respectively.

Hence, the current in the ionic liquid can be found using the formula given above.

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If a dart shot at a monkey is traveling 6 m/s horizontally, while simultaneously traveling 9 m/s downward, then the total velocity of the dart would be 10.81 m /s.

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.

As given in the problem a  dart shot at a monkey is traveling 6 m/s horizontally, while simultaneously traveling 9 m/s downward.

Total velocity of the dart = √ ( 6² + 9² )

                                         = 10.81 m /s

Thus, the total velocity of the dart would be 10.81 m /s.

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Answer:

38

Explanation:

76 divided by 2 =38

Speed is a scalar quantity that describes "how fast an object is moving." The rate at which an object travels a distance can be thought of as its speed. The time taken by Fernando is 56 s.

Speed is only the rate at which motion changes. Or just the distance a body travels in a unit of time. Velocity is the rate at which an object's position changes and it takes direction into account. Speed has just magnitude because it is a scalar quantity.

The expression used to calculate speed is:

Speed = Distance / Time

Time = Distance / Speed

t = 1680 / 30

t = 56 s

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Answer:

mercury

Explanation:

edge 2020

Answer:

The pressure that must be applied to the liquid initially at 1.000 atm to decrease its volume by 1.00% is 0.990 atm.

Explanation:

To calculate the pressure required to decrease the volume of a liquid by 1.00%, we can use the formula:

P2 = P1 * (1 - ΔV/V1)

Where:

P2 is the final pressure,

P1 is the initial pressure,

ΔV is the change in volume, and

V1 is the initial volume.

Given:

P1 = 1.000 atm

ΔV/V1 = 1.00% = 0.01

Substituting these values into the formula, we can solve for P2:

P2 = 1.000 atm * (1 - 0.01)

P2 = 1.000 atm * 0.99

P2 = 0.990 atm

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