What is the change in momentum of a 50-kg rock that falls freely for 3 seconds?

Answer:

1.  0.102 mol/kg.

2. 0.444 mol/kg.

Explanation:

To calculate molality, we need to know the moles of solute (NaCl) and the mass of the solvent (water) in kilograms. First, we need to convert the mass of NaCl to moles by dividing by its molar mass. Then we convert the mass of water to kilograms. Molality (m) is equal to moles of solute divided by kilograms of solvent.

First, we need to convert the mass of glucose to moles by dividing by its molar mass. Then we convert the volume of water to kilograms. Molality (m) is equal to moles of solute divided by kilograms of solvent. Finally, we need to round the answer to three significant figures.

To determine the potential difference between the left plate of capacitor A and the right plate of capacitor B, we need to first understand what a capacitor is. A capacitor is an electrical component that stores electrical charge. It consists of two conductive plates that are separated by an insulating material called a dielectric.

When a potential difference is applied across the plates of a capacitor, one plate becomes positively charged while the other plate becomes negatively charged. The potential difference between the two plates is determined by the amount of charge stored on each plate and the capacitance of the capacitor.

In this case, we need to know the capacitance values of capacitor A and capacitor B, as well as the amount of charge stored on each plate. Once we have this information, we can calculate the potential difference using the formula:

Potential difference = (Charge on left plate of capacitor A - Charge on right plate of capacitor B) / Capacitance of either capacitor

Without knowing the specific values of capacitance and charge, it is impossible to calculate the potential difference.

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Given:

The distance from the tuning fork is d = 300 cm

The power is P = 0.0085 W

To find the intensity.

Explanation:

The intensity is defined as the power per unit area.

Wavelets are in the shape of sphere.

The intensity can be calculated by the formula

On substituting the values, the intensity will be

The intensity o

The absence of any mechanical linkage between the throttle pedal and the throttle body requires the use of a . Stepper motor. Option D.

In modern vehicles, the throttle system is commonly controlled electronically using a stepper motor. A stepper motor is a type of electric motor that moves in discrete steps or increments, as directed by an electronic control unit (ECU) based on inputs from sensors, including the throttle pedal position sensor.

With the use of a stepper motor, there is no direct mechanical connection between the throttle pedal and the throttle body. Instead, the ECU interprets the position of the throttle pedal and commands the stepper motor to move the throttle plate accordingly, regulating the airflow into the engine.

The stepper motor provides precise control over the throttle position, allowing for smooth and accurate adjustments based on driving conditions and engine demands. The ECU can precisely control the throttle opening angle and adjust it in real-time, optimizing fuel efficiency, emissions, and overall engine performance.

Stepper motors are particularly suitable for this application as they can hold their position without power, provide precise control over angular displacement, and offer good torque characteristics.

They are commonly used in drive-by-wire throttle systems, where electronic signals replace mechanical linkages, providing improved responsiveness and integration with other vehicle control systems.

In summary, the absence of a mechanical linkage between the throttle pedal and the throttle body necessitates the use of a stepper motor for electronic throttle control, allowing for accurate and efficient regulation of the engine's air intake. So Option D is correct .

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From the core concept introduced by Al-Haytham, modern cameras are created.

To find the answer, we have to know about the Camera Obscura.

Thus, we can conclude that, from the core concept introduced by Al-Haytham, modern cameras are created.

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Answer:

(a) Stationary waves are produced in the space between the speaker and the metal plate by setting up a standing wave pattern through interference between the sound waves emitted by the speaker and the waves reflected back from the metal plate. This interference results in certain points along the wave pattern having a constant phase relationship, causing constructive interference and the formation of stationary waves with nodes (points of minimum amplitude) and antinodes (points of maximum amplitude).

To create a standing wave pattern, the distance between the speaker and the metal plate should be an integer multiple of half-wavelengths of the sound wave being produced. This means that the distance between the nodes (or antinodes) in the standing wave pattern is equal to half the wavelength of the sound wave.

(b) To calculate the separation between the nodes when the generator is set to 1700 Hz, we can use the formula:

λ = v/f

where λ is the wavelength, v is the speed of sound in air (given as 340 m/s), and f is the frequency of the sound wave (given as 1700 Hz).

λ = 340 m/s / 1700 Hz = 0.2 m

The distance between nodes is equal to half the wavelength, so the separation between nodes is:

0.2 m / 2 = 0.1 m

Therefore, the separation between nodes when the generator is set to 1700 Hz is 0.1 m.

(ii) The sketch of the intensity variation over the 4 seconds would show a periodic pattern with alternating maxima and minima. The maxima would occur at intervals corresponding to the time it takes for the microphone to move a distance equal to half the wavelength of the sound wave (since this is where the constructive interference occurs), while the minima would occur at intervals corresponding to the time it takes for the microphone to move a distance equal to a whole wavelength of the sound wave (since this is where the destructive interference occurs). The pattern would repeat every half-wavelength, corresponding to the distance between the nodes in the standing wave pattern.

(iii) The points of maximum intensity are called antinodes. These are the points along the standing wave pattern where the sound wave amplitude is at its maximum due to constructive interference. The points of minimum intensity are called nodes, where the sound wave amplitude is at its minimum due to destructive interference.

(Please could you kindly mark my answer as brainliest you could also follow me so that you could easily reach out to me for any other questions)

The average power of the signal f(t) = Acos(ωt) is A^2/2 , obtained by squaring the signal and averaging it over one period. This represents the amount of power carried by the signal on average.

To determine the average power of the signal f(t) = Acos(ωt), where (A) represents the amplitude of the signal and ω represents the angular frequency, we can use the formula for average power in a periodic signal.

The average power of a periodic signal can be calculated as the average of the square of the signal over one period. In this case, the period of the signal is (T = 2π/ω). Therefore, the average power \((\(P_{\text{avg}}\))\) can be expressed as:

\(\[P_{\text{avg}} = \frac{1}{T} \int_{0}^{T} f(t)^2 dt\]\)

Substituting the given signal, we have:

\(\[P_{\text{avg}} = \frac{1}{T} \int_{0}^{T} (A \cos(\omega t))^2 dt\]\)

Simplifying, we get:

\(\[P_{\text{avg}} = \frac{1}{T} \int_{0}^{T} A^2 \cos^2(\omega t) dt\]\)

Using the trigonometric identity \(\(\cos^2(\theta) = \frac{1 + \cos(2\theta)}{2}\)\), we can rewrite the equation as:

\(\[P_{\text{avg}} = \frac{A^2}{2T} \int_{0}^{T} (1 + \cos(2\omega t)) dt\]\)

Integrating, we get:

\(\[P_{\text{avg}} = \frac{A^2}{2T} \left[t + \frac{\sin(2\omega t)}{2\omega}\right]_{0}^{T}\]\)

Since \(\(\sin(2\omega T) = \sin(4\pi) = 0\)\), the equation simplifies to:

\(\[P_{\text{avg}} = \frac{A^2}{2T} T = \frac{A^2}{2}\]\)

Therefore, the average power of the signal f(t) = Acos(ωt) is A^2/2.

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It will be easier to balance the hammer on the tip of a finger with the head down due to inertia.

The center of mass of the thing you are balancing on the tip of your finger must be squarely above your finger in order to keep it from dropping. You must modify the object's location and orientation in accordance with its moment of inertia in order to keep it in equilibrium.

A measurement of an object's resistance to rotational motion is its moment of inertia. The mass distribution and rotational axis of a particular item affect its moment of inertia. The axis of rotation when something is balanced on the tip of your finger is through your finger. In general, it is simpler to rotate an item that has a lower moment of inertia than one that has a larger moment of inertia.

Therefore, It will be easier to balance the hammer on the tip of a finger with the head down due to inertia.

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Answer:

60 - 45 = A. 15

Explanation:

Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.

60 - 45 = A. 15. Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.

A flat or highly polished surface called a plane mirror reflects light or waves to create an image. It is a polished, smooth surface that creates a virtual representation of the actual object.

A plane mirror is a surface on which an image can only be produced by at least two light beams. The intersection of these two beams can occur inside the mirror or appear to occur somewhere behind the mirror.

The image that follows illustrates how an object appears when viewed via a plane mirror.

Therefore, 60 - 45 = A. 15. Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.

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The speaker most likely think about the wall that The wall protects his orchard. Hence option A is correct.

The term wall is derived from the Latin word vallum, which denotes "...an earthen wall or rampart set with palisades, a row or line of stakes, a wall, a rampart, fortification...", whereas murus is a defensive stone wall. The same word is used in English to refer to an exterior wall and the inside sides of a room, but this is not ubiquitous. Many languages differentiate between the two. Some of this contrast may be observed in German between Wand and Mauer, and in Spanish between pared and muro.The wall protects his orchard.

Hence option A is correct.

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38 nm A waveform signal that is carried in space or down a wire has a wavelength,

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is typically defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm).

The wavelength of the wave is the distance covered by it throughout a whole oscillation. A meter is the wavelength's SI unit (m).

*v=c/λ

v: 7.8 × 10^15 Hz c: 3.00*10^8 λ:?

7.8 × 10^15 Hz = 3.0010^8/λ

λ = 3.0010^8 m/s /7.8 × 10^15

λ = 3.8 10^-8

The calculated wavelength is in unit of meter. use the relationship between meter and nanometer to convert to the correct units.

3.8 10^-8 m (1nm/ 110^-9m )

= 38 nm

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RS is a composition of rotation and reflection in the Euclidean plane E². The precise description of RS depends on the specific properties of the rotation R and reflection S.

In general, if R and S have the same axis or line of symmetry, the composition RS results in a translation. If R and S have intersecting lines of symmetry, RS yields a glide reflection. If R and S have perpendicular lines of symmetry, RS produces a rotation.

It is important to consider special cases, such as parallel lines of symmetry, coinciding axes, or perpendicular lines of reflection, as they may lead to different outcomes. The classification of isometries in E² involves understanding how rotations and reflections combine to create different transformations in the plane.

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Answer:

Jupiter Neptune moon Uranus

Explanation:

The new acceleration would be 24.0 m/s/s.

Acceleration is the rate of change of velocity of an object over time. It is a vector quantity, meaning that it has both magnitude and direction. Acceleration is the result of applying a force to an object, and can be described mathematically as the change in velocity (or speed) divided by the time it takes for the acceleration to occur. Acceleration can also be caused by a change in the direction of motion and is measured in meters per second squared (m/s2). It is an important concept in physics, and is used to describe motion in objects ranging from cars to planets.

The new acceleration would be 24.0 m/s/s. This is because the acceleration of an object is directly proportional to the force applied to it, and inversely proportional to its mass. Therefore, doubling the mass of the object would halve the acceleration, since the force applied to the object remains the same.

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Answer:

Srry for the delay but this might help ppl in the future

Explanation:

PEACE OUT!

1.1 Nano-light-second is equivalent to 32.978 cm. So, I have to hold my hand 32.978 cm apart, for them to be separated by 1.1 Nano-light-second.

1.1 Nano-light-second means the path light traveled in 1.1 nanoseconds. We know that if an object has speed v, then the distance traveled by that object in time t, is given by, s=vt

So,

Time, t= 1.1 ns= 1.1×10⁻⁹ s

Speed of light, v= 2.998×10⁸ m/s

Hence distance traveled by light in that time is

s = vt

s = (2.998x10⁸ m/s) (1.1x10⁻⁹ s)

s = .32978 m

s = 32.978 cm

Hence, 1.1 Nano-light-second is equivalent to 32.978 cm. Therefore, I have to hold my hand 32.978 cm apart, for them to be separated by 1.1 Nano-light-second.

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A motor with a horsepower rating of approximately 56.4 hp is required to drive the pump, assuming a pump efficiency of 70%.

To calculate the horsepower rating of the motor needed to power the pump, the following formula can be used:

Power = (Flow rate x Head x Density) / (Efficiency x 3960)

where:

Power is the required power in horsepower (hp).

Flow rate is the volumetric flow rate of water in gallons per minute (gpm).

Head is the total dynamic head of the pump in meters (m).

Density is the density of water in pounds per gallon (lb/gal).

Efficiency is the pump efficiency expressed as a decimal (e.g., 70% = 0.7).

3960 is a conversion factor to convert units to horsepower (hp).

The flow rate needs to be converted from gallons per minute to cubic meters per second by dividing by 15850.4, which is the conversion factor for the two units. Therefore:

Flow rate = 150 gpm / 15850.4 gpm/m^3 = 0.00946 m^3/s

The head needs to be converted from meters to feet to match the units used in the formula. This can be done by multiplying the head by 3.281. Hence:

Head = 120 m x 3.281 ft/m = 393.7 ft

The density of water also needs to be converted from pounds per gallon to kilograms per cubic meter to match the flow rate units. This can be accomplished by using the conversion factor of 0.45359 kg/lb. Therefore:

Density = 8.34 lb/gal x 0.45359 kg/lb / 0.00378541 m^3/gal = 999.1 kg/m^3

Substituting these values into the formula, we get:

Power = (0.00946 m^3/s x 393.7 ft x 999.1 kg/m^3) / (0.7 x 3960) = 56.4 hp

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Answer:

Hi there!

Your answer is;

345,600 mins per 240 days

Explanation:

First, start small

How many minutes are in one hour?

60mins per 1 hr

How many minutes per one day?

60 × 24= 1440

1440 mins per 1 day

How many minutes per 240 days?

1440× 240= 345600

345,600 mins per 240 days

Hope this helps

The minimum wavelength of light absorbed by germanium with a band gap energy of 0.67 eV is approximately 1.234 μm (micrometers).

To calculate the minimum wavelength of light absorbed by germanium which has a band gap energy of 0.67 ev, we can use the relationship between energy and wavelength given by Planck's equation:

E = hc / λ

where E is the energy of a photon, h is Planck's constant (approximately 6.626 × 10^(-34) J·s), c is the speed of light in a vacuum (approximately 3.00 × 10^8 m/s), and λ is the wavelength of light.

The band gap energy (Eg) of germanium is given as 0.67 eV.

We need to convert the electronvolts (eV) to joules (J) before proceeding with the calculation.

1 eV = 1.602 × 10^(-19) J

- Band gap energy of germanium (Eg) = 0.67 eV = 0.67 × 1.602 × 10^(-19) J

Now, rearranging the equation to solve for wavelength (λ):

λ = hc / E

Substituting the values:

λ = (6.626 × 10^(-34) J·s * 3.00 × 10^8 m/s) / (0.67 × 1.602 × 10^(-19) J)

Calculating the numerical value:

λ ≈ 1.234 μm

Therefore, the minimum wavelength of light absorbed by germanium with a band gap energy of 0.67 eV is approximately 1.234 μm (micrometers).

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Explanation:

work done = force × distance

= 10000 × 20

= 200,000 J

Answer:

Mass and distance

Explanation:

The force of gravity the masses exert on each other. If one of the masses is doubled, the force of gravity between the objects is doubled. increases, the force of gravity decreases. Hence, answer is mass and distance

the energy density of the wave will increase by a factor of 4 if the amplitude of the electric field doubles in a linearly polarized wave. This means that there will be more energy per unit volume in the wave.

The energy density of an electromagnetic wave is given by the formula:

u = (1/2) * ε * \(E^2\)

Where u is the energy density, ε is the permittivity of the medium, and E is the amplitude of the electric field.

If the amplitude of the electric field E doubles, then the energy density u will increase by a factor of 4, because:

u' = (1/2) * ε *\((2E)^2\) = 2 * (1/2) * ε *\(E^2\) = 2u

What is amplitude?

Amplitude refers to the maximum displacement or distance that a particle in a medium moves from its rest position when a wave passes through that medium.

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Answer:

the answer is A

Explanation:

This means that a system always has the same amount of energy

The law of conservation of energy states that energy can neither be created nor destroyed - only converted from one form of energy to another. This means that a system always has the same amount of energy, unless it's added from the outside

Answer:

The value is \(v_t = 172 \ km/h\)

Explanation:

From the question we are told that

    The average speed for the first 12 hours is \(u = 185 km/h\)

    The average speed for the next 13 hours is  \(v = 160 \ km/h\)

Generally the total time taken is mathematically represented as

     \(t_t = 12 + 13\)

=> \(t_t = 25 \ h\)

The distance covered in the first movement is

          \(D = u * 12\)

         \(D = 185 * 12\)

        \(D = 2220 \ km\)

The distance covered in the first movement is

          \(d= v * 13\)

         \(d = 160 * 13\)

        \(d = 2080 \ km\)

The total distance traveled is  

       \(D_t = D + d\)

       \(D_t = 2220 +2080\)

      \(D_t = 4300 \ km\)

The average  of the whole journey is

      \(v_t = \frac{D_t}{t_t}\)

     \(v_t = \frac{4300}{25}\)

     \(v_t = \frac{4300}{25}\)

    \(v_t = 172 \ km/h\)

When the resistor in the circuit has a larger resistance value, it will lower the total current that flows in the circuit.

In an electric circuit, resistance is the opposition that an electrical circuit exhibits to the flow of electric current. In general, resistance is measured in ohms (Ω).

When large resistance used:

When large resistor added:

As a result, adding a larger resistor to a circuit would lower the total current that flows in the circuit.

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Answer:

start a healthy diet. But starting a healthy diet doesn't mean only eating greens, you should minimize the amount of regular food you take and eat a balanced diet.

Weight is the measure of the mass of the body. Mass is the amount of matter a body contains.

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The optimal values of \(q_1\) and \(q_2\) are determined by these equations, which are functions of Michael's income and the prices of the goods.

The given problem describes Michael's utility maximization problem with a constant elasticity of substitution (CES) utility function. The objective is to find the optimal values of \(q_1\) and \(q_2\) in terms of Michael's income (Y) and the prices of the two goods (\(p_1\) and \(p_2\)).

1. Substitute the income constraint into Michael's utility function:

\(U(q_1, q_2) = (q_1^\rho + q_2^\rho)^(1/\rho)\)

  s.t. \(Y = p_1q_1 + p_2q_2\)

  We can rewrite Michael's budget constraint as \(q_2 = (Y - p_1q_1)/p_2\). Substituting this expression into his utility function, we have:

 \(U(q_1, p_2, Y) = (q_1^\rho + [p_2(Y - p_1q_1)/p_2]^\rho)^{(1/\rho)\)

  By making this substitution, we have converted the constrained maximization problem with two control variables (\(q_1\) and \(q_2\)) into an unconstrained problem with one control variable \((q_1)\).

2. Use the standard unconstrained maximization approach to determine the optimal value for \(q_1\). To obtain the first-order condition, we differentiate the utility function with respect to \(q_1\) and set it equal to zero:

\(\delta U / \delta q_1 = \rho(q_1^{(\rho-1)} + \rho[p_2(Y - p_1q_1)/p_2]^{(\rho-1)}(-p_1/p_2)) = 0\)

Simplifying and solving for \(q_1\):

\(\rho q_1^{(\rho-1)} - \rho(p_1/p_2)[p_2(Y - p_1q_1)/p_2]^{(\rho-1)} = 0\)

\(\rho q_1^{(\rho-1)} - \rho(p_1/p_2)[Y - p_1q_1]^{(\rho-1)} = 0\)

\(\rho q_1^{(\rho-1)} = \rho(p_1/p_2)[Y - p_1q_1]^{(\rho-1)}\)

\(q_1^{(\rho-1)} = (p_1/p_2)[Y - p_1q_1]^{(\rho-1)\)

\(q_1^{(\rho-1)} = (p_1/p_2)^{(1-\rho)}[Y - p_1q_1]^{(\rho-1)}\)

\(q_1^{(\rho-1)} = (p_1/p_2)^{(1-\rho)}(Y - p_1q_1)^{(\rho-1)}\)

\(q_1^{(\rho-1)} = (p_1/p_2)^{(1-\rho)}(Y^{(\rho-1)} - (\rho-1)p_1q_1(Y - p_1q_1)^{(\rho-2)})\)

  This equation represents Michael's optimal \(q_1\) as a function of his income (Y) and the prices (\(p_1\) and \(p_2\)).

3. Similarly, we can derive a similar expression for his optimal \(q_2\):

\(q_2^{(\rho-1)} = (p_2/p_1)^(1-\rho)(Y^{(\rho-1)} - (\rho-1)p_2q_2(Y - p_1q_2)^{(\rho-2)})\)

  This equation represents Michael's optimal \(q_2\) as a function of his income (Y) and the prices (\(p_1\) and \(p_2\)).

Therefore, these equations, which depend on Michael's income and the prices of the commodities, determine the ideal values of \(q_1\) and \(q_2\).

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Answer:

Magnets work by using Earth's magnetic pull.

Explanation:

Magnets move objects because they are made of steel or metal. And for that reason, they can stick to objects that are metal.

Answer:five times five is twenty five divded by 10 is 2.5 seconds of acceleration