star a is four times as luminous as star b. star a is also four times further from earth than star b. how does the apparent brightness of star a compare to that of star b?

The mass's maximum kinetic energy in terms of the given variables is `1/2 A^2 k` and the mass's minimum kinetic energy in terms of the given variables is `0`.

The kinetic energy is given by `K= (1/2) m v^2`. Where, v is the velocity of the mass. We can find the velocity of the mass from its displacement function, `x = A sin(sqrt(k/m) t)`.Differentiating x with respect to time, we get the velocity, `v = dx/dt`Therefore, `v = A sqrt(k/m) cos(sqrt(k/m) t)`The maximum kinetic energy of the mass is when it passes through its equilibrium position (i.e. `x=0`).At equilibrium position, `cos(sqrt(k/m) t) = 1`.Therefore, `v_max = A sqrt(k/m)`Hence, `K_max = (1/2) m (A sqrt(k/m))^2 = 1/2 A^2 k`.The minimum kinetic energy of the mass is when it reaches the extreme position.At extreme position, `cos(sqrt(k/m) t) = 0`.Therefore, `v_min = 0`.Hence, `K_min = (1/2) m (0)^2 = 0`.Therefore, the mass's maximum kinetic energy in terms of the given variables is `1/2 A^2 k` and the mass's minimum kinetic energy in terms of the given variables is `0`.

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In a fire piston, the temperature of the gas inside the piston increases due to adiabatic compression.

In physics, pressure is a measure of the force per unit area that a fluid (liquid or gas) exerts on its surroundings. It is defined as the force F acting perpendicular to a surface divided by the area A over which the force is distributed: pressure = F/A. The SI unit of pressure is the Pascal (Pa), which is defined as one Newton per square meter (N/m²). Other common units of pressure include pounds per square inch (psi), atmospheres (atm), and bar (bar). Pressure is an important concept in many areas of physics, including fluid mechanics, thermodynamics, and atmospheric science. It describes the behavior of fluids in pipes and channels, the operation of hydraulic systems, and the behavior of gases in sealed containers. The pressure of a fluid is related to its density and temperature, and can be influenced by factors such as gravity, elevation, and the motion of the fluid itself.

Here,

When the piston is rapidly pushed down into the cylinder, it compresses the gas inside the cylinder. This rapid compression causes the gas molecules to collide with each other more frequently and with greater force, which in turn increases the temperature of the gas.

Because the compression is adiabatic (i.e., no heat is allowed to enter or leave the system), the increase in temperature is due solely to the work done on the gas by the piston. This increase in temperature is known as adiabatic heating.

The fire piston is a simple but effective tool for starting a fire in the wilderness, and it demonstrates the principles of adiabatic compression and the relationship between pressure, volume, and temperature in a gas.

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Answer:

f = 99.96 N

Explanation:

Weight of Mr. Tracy, W = 85 kg

The coefficient of sliding friction between his socks and the floor is 0.12.

We need to find the force of friction that opposes Mr. Tracy's motion down the hall.

The force of friction is given by :

\(f=\mu mg\\\\f=0.12\times 85\times 9.8\\\\f=99.96\ N\)

So, the required force of friction is 99.96 N.

The correct option B. opposite the direction of the displacement from equilibrium, is the direction of the restoring force.

Mechanical waves that move through a solid, liquid, or gas with a wave speed that is influenced by the elastic and inertial characteristics of that medium.

Thus, the force that returns an object to its equilibrium position is known as the restoring force; it is denoted by a negative sign since its direction of action is the opposite of that of the displacement.

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The acceleration of the sled is, the acceleration is equal to the acceleration of gravity multiplied by the sine of the angle for a frictionless incline of degree.

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Answer:

Explanation:

ave speed is always (frequency) x (wavelength)

Speed  =  (450 /sec) x (0.52 m)

=      234 m/sec .

Answer:

\(P_2=3.79atm\)

Explanation:

According to Boyle's Law:

\(P_1V_1=P_2V_2\)

Rewriting to find \(P_2\):

\(P_2=\frac{P_1V_1}{V_2}\)

\(P_1=4.39atm\\V_1=5.26L\\V_2=3.78\\P_2=\frac{(4.39atm)(3.26L)}{3.78L}\\P_2=3.7861atm\)

This answer follows Boyle's statement that pressure is inversely proportional to volume (V∝\(\frac{1}{P}\)).  As the volume decreases, the pressure must proportionately increase.

Answer: The work is 1863 N*m

Explanation:

We can define work as:

W = F*d

Where F is the force that the mover needs to apply to the refrigerator, and d is the distance that the refrigerator is moved.

To move the refrigerator, the minimal force that the mover needs to do is exactly the friction force (In this case, the refrigerator will move with constant speed).

Then we will have:

F = 230 N

and the distance is 8.1 meters, then the work will be:

W = 230N*8.1 m = 1863 N*m

The maximum extension force that the cylinder could produce in a regenerative circuit is 2000 lbf.

Explanation:

To find the maximum extension force that the cylinder could produce when it is connected in a regenerative circuit, we need to consider the system pressure relief valve setting and the piston area.

Given:
- System pressure relief valve: 1000 psi
- Piston area: 2 square inches
- Rod area: 0.5 square inches (irrelevant for this problem)

Step 1: Calculate the maximum extension force using the formula: Force = Pressure × Area

Step 2: Substitute the values: Force = 1000 psi × 2 square inches

Step 3: Calculate the force: Force = 2000 lbf (pound-force)

So, the maximum extension force that the cylinder could produce in a regenerative circuit is 2000 lbf.

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The maximum power delivered by the power supply is 0.81W.

An RL Series Circuit is one that has an inductance L coil and a resistance R connected in series with each other. when the current element I flowing in the circuit is crossed by a supply voltage (V).

A series configuration of an inductor and a resistor is known as an LR circuit. A voltage source, such as a battery, and a switch are connected to this circuit. Here, the wire that makes up an inductor's coil has a DC resistance, or R.

Maximum power is delivered when current in circuit is maximum.

Maximum current is obtained after long time when inductor is shorted.

Maximum current is I = 9V/100

Maximum powder = VI = (9v)(9v)/100

Maximum power delivered= 0.81W.

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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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The velocity of an object is the ratio of distance to the time. The graph shows, an increase in distance with the increase in time. This linearity make the velocity constant. Hence, the option D is correct.

Velocity of a substance is the measure of distance travelled per unit time. Thus it is the ratio of distance to time.In physics, velocity is the rate of speed.

Velocity = distance/time.

Hence, as the time taken for the travel increases velocity will decreases. In the given graph at each point distance shows linear relation with the time and it obtains a straight line.

Therefore, the distance is increasing with increase in time means the velocity is not changing and it remains constant. Hence, option D is correct.

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Answer:

  875

Explanation:

The digits more significant than the last two integer digits are dropped from the pressure reading placed on the upper right of the station model. Generally, the dropped digits will be 9 or 10.

987.5 mb would be recorded as 875 on the model.

Answer:

Through public awareness

Answer:

The difference in airspeed over the top and bottom of an airplane wing results in a difference in air pressure, which generates lift. The Bernoulli's equation relates the pressure of a fluid (including air) to its velocity and the height of the fluid:

P + 1/2 * rho * v^2 + rho * g * h = constant

where P is the pressure of the fluid, rho is the density of the fluid, v is the velocity of the fluid, g is the acceleration due to gravity, and h is the height of the fluid.

Assuming that the density of air is constant and the height of the wing is negligible compared to the other terms in the equation, we can simplify the equation to:

P + 1/2 * rho * v^2 = constant

The constant in the equation is the same at all points along the wing, since the air is a continuous fluid.

The pressure difference between the top and bottom of the wing can be found by calculating the pressure at the top and bottom of the wing using the simplified Bernoulli's equation, and then taking the difference between the two pressures.

Let P1 be the pressure at the bottom of the wing, where the airspeed is 130 m/s, and P2 be the pressure at the top of the wing, where the airspeed is 170 m/s. Then we have:

P1 + 1/2 * rho * (130 m/s)^2 = P2 + 1/2 * rho * (170 m/s)^2

Simplifying and rearranging, we get:

P1 - P2 = 1/2 * rho * (170 m/s)^2 - 1/2 * rho * (130 m/s)^2

Plugging in the density of air (rho = 1.225 kg/m^3), we get:

P1 - P2 = 1/2 * 1.225 kg/m^3 * (170 m/s)^2 - 1/2 * 1.225 kg/m^3 * (130 m/s)^2

Simplifying and calculating, we get:

P1 - P2 = 377.72 Pa

Therefore, the difference in pressure between the top and bottom of the wing is approximately 377.72 Pa.

Answer:

emotions

Explanation:

emotions are how you feel and can happen any time

Hope it helps <333

Answer:

emotions affect your body and how you feel

Given,

Voltage, V=9 V

Resistor, R=50.0 ohm

To find

The power emitted by the battery.

Explanation

The power is:

Conclusion

The power is: C.1.62W

The scalar components R and R₂ of the force R along the nonrectangular axes a and b are determined using given information. The orthogonal projection Pa of R onto axis a is also calculated.

Given information:

Magnitude of force R = 810 N

Angle between R and axis a = 117°

Angle between R and axis b = 25°

To find the scalar components R and R₂, we can use trigonometry. Let's denote the angle between R and the x-axis as θ. We can express R in terms of its components as follows:

R = R₁ + R₂

Where R₁ is the component of R along axis a, and R₂ is the component of R along axis b.

Using trigonometry, we can determine the values of R₁ and R₂ as follows:

R₁ = R cos(θ)

R₂ = R sin(θ)

To find the angle θ, we subtract the given angles between R and axes a and b from 90° (since axis a and b are nonrectangular):

θ = 90° - 117° = -27°

Now we can calculate R₁ and R₂ using the given magnitude of R and the calculated angle θ:

R₁ = 810 N cos(-27°)

R₂ = 810 N sin(-27°)

Finally, to determine the orthogonal projection Pa of R onto axis a, we use the formula:

Pa = R₁ = 810 N cos(-27°)

Substituting the values into the equations, we can calculate the numerical values of R₁, R₂, and Pa.

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Answer:

A and B

Explanation:

They contain Chlorophyll

They are relatively tall

Answer:

TRUE - A test booklet is sitting at rest on a desk. Compared to the force of the booklet on the desk, the force of the desk on the booklet is the same.

TRUE - The acceleration of an object is always in the direction of the net force acting on it.

Answer:

La magnitud de la masa del peso es 78.447 libras-masa.

Explanation:

La tensión es una fuerza de reacción de la cuerda causada por la acción de una fuerza externa. En este caso, esa fuerza externa es el peso que cuelga en el centro de la cuerda. Abajo hemos adjuntado una representación simplificada del enunciado.

Por las leyes de Newton, tenemos la siguiente ecuación de equilibrio conformada por tres fuerzas:

\(\vec T_{1} + \vec T_{2} + \vec W = (0, 0)\, [N]\) (1)

Donde:

\(\vec T_{1}\), \(\vec T_{2}\) - Tensiones a cada lado de la cuerda, en newtons.

\(\vec W\)- Peso, en newtons.

Si sabemos que \(\vec T_{1} = T\cdot (\cos \alpha, \sin \alpha)\), \(\vec T_{2} = T\cdot (-\cos \alpha, \sin \alpha)\) y \(\vec W = W\cdot (0, -1)\), entonces tenemos la siguiente ecuación vectorial:

\(T\cdot (\cos \alpha, \sin \alpha) + T\cdot (-\cos\alpha, \sin \alpha) + W\cdot (0, -1) = (0,0)\)

\(T\cdot (0, 2\cdot \sin \alpha) = W\cdot (0, 1)\)

Esto permite reducir la anterior expresión a una fórmula escalar:

\(2\cdot T\cdot \sin \alpha = W\)

Donde \(\alpha\) es el ángulo de inclinación de la cuerda, medido en grados sexagesimales.

El ángulo de inclinación de la cuerda se determina mediante la siguiente fórmula trigonométrica inversa es:

\(\alpha = \tan^{-1} \left(\frac{2\,ft}{10\,ft}\right)\)

\(\alpha \approx 11.310^{\circ}\)

Si conocemos que \(\alpha \approx 11.310^{\circ}\) y \(T = 200\,lbf\), entonces la magnitud del peso es:

\(W = 2\cdot (200\,lb)\cdot \sin 11.310^{\circ}\)

\(W \approx 78.447\,lbf\)

En el Sistema Imperial, las fuerzas son medidas en forma gravitacional, entonces la magnitud de la fuerza gravitacional del peso equivale a la magnitud de su masa. En síntesis, la magnitud de la masa es \(78.447\,lbm\).

La magnitud de la masa del peso es 78.447 libras-masa.

Answer: C

Explanation:

Since bulb B is burnt out, the wires can't transfer to bulb A, so that's why bulb A will burn out.

If I get it wrong, sorry. Im still learning.

A charge of 12 c passes through an electroplating apparatus in 2.0 min, then the average current is 0.1 ampere.

Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge.

Electric current is defined as the charge per unit of time.

The mathematical relation between current and the electric charge

I =Q/T

where I is the current flowing

Q is the total electric charge

T is the time period for which the current is flowing

As given in the problem A charge of 12 c passes through an electroplating apparatus in 2.0 min

Let us first convert the time period of minutes into seconds

1 min = 60 seconds

2 min = 2*60 seconds

         =120 seconds

By using the above relation between electric current and electric charge

and by substituting the respective values of the charge and the time period

I =Q/T

I = 12c/120 seconds

I = 0.1 Ampere

Thus, the average current flowing through the apparatus would be 0.1 Ampere.

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Answer:

I=V/R

Explanation:

Ohm's law gives the mathematical relationship between, current, voltage and the resistance of the circuit. Its mathematical form is given by :

V = IR ....(1)

V = voltage (in volts)

I = current (in Ampere)

R = resistance (in ohms)

Equation (1) can be rewritten as :

\(I=\dfrac{V}{R}\)

Hence, the correct relation is I=V/R.

Answer:

\(E=\dfrac{1}{2}mv^2\)

Explanation:

If m is the mass of the object and v is the velocity of the object. The kinetic energy is due to the motion of an object. It is given by the relation as follows :

\(E=\dfrac{1}{2}mv^2\)

The above formula is used to find the kinetic energy of an object.

Answer:

\(1\times 10^{8} N/C\)

Explanation:

According to the gauss law

As we know that

Electric field is

\(E = -k\frac{q}{r^2}\)

where,

k = column constant = \(9 \times 10 ^{9}\ N. \frac{m^2}{c^2}\)

q = charge

r = distance from the sphere center

For computing the magnitude of e first we have to need to find out the charge outside of sphere which is

\(q = -\frac{Er^2}{k}\)

\(q = -\frac{1 \times 10^{6} \frac{N}{C} (25m)^2}{9 \times 10 ^{9}\ N. \frac{m^2}{c^2}}\)

q = -0.07 C

Now we have to find the electric field

\(E = k\frac{q}{r^2}\)

The r is 2.5m but in question it is given 5m

So,

Electric field is

\(E = 9 \times 10^{9} N . \frac{m^2 \times 0.07 C}{C^2 (2.5 m)^2}\)

\(E = 9 \times 10^{9} N. \frac{m^2 \times 0.07 C} {C^2 (2.5m)^2}\)

\(= 1\times 10^{8} N/C\)

Question:

A wave with a frequency of 14 Hz has a wavelength of 3 meters. At what speed with this wave travel?

Answer:

42m/s

Explanation:

v= λf

Frequency of wave: f= 14Hz

the wavelength of the wave: λ=3m

speed of wave: s=?

speed = frequency * wavelength

s = 14 * 3 = 42 m/s.