A JFET has a drain current of 5mA. If IDSS = 10mA and VGS ( off )= -6 v. find The Value Of
( 1 ) VGS
( 2 ) VP

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Answer:

Sound waves bend around the corners of various obstacles.

Explanation:

I took the test

Answer:

Well I'll say the answer is

A.21

B.21

Explanation:

The law of conservation of momentum states that the total momentum in a system remains constant

And

To find the Total momentum in a body, you'll have to multiply the mass of the body to it's velocity

And

To find the total momentum, you'll add the momenta in every body present in the system

Answer:

11g

Explanation:

i think

The maximum height will be 0.55m.

What is Maximum Height?

This refers to the highest height of the object in projectile motion and it is dependent on the initial velocity, the launch angle, and the acceleration due to gravity. It is measured in “meters”.

It is calculated using The Formula:

H=(v₀)² *sin²θ

         2×g

Where,

H =Maximumheight

v₀ = initial velocity

sinθ =Sine of launch angle

From the question:

v₀= 329.7m/s

g = (9.81ms/²)

Sin θ= 22°

calculating Maximum height:

H=( 329.7)² *sin²22°

         2×9.81

H  = 0.55m

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Answer:

Alternating current

Answer:

208 Joules

Explanation:

The radius of the circular path the charge moves, r = 26 m

The magnetic force acting on the charge particle, F = 16 N

Centripetal force, \(F_c\) = m·v²/r

Kinetic energy, K.E. = (1/2)·m·v²

Where;

m = The mass of the charged particle

v = The velocity of the charged particle

r = The radius of the path of the charged particle

Whereby the magnetic force acting on the charge particle = The centripetal force, we have;

F = \(F_c\) = m·v²/r = 16 N

(1/2) × r × \(F_c\) = (1/2) × r × m·v²/r = (1/2)·m·v² = K.E.

∴ (1/2) × r × \(F_c\) = (1/2) × 26 m × 16 N =  = (1/2)·m·v² = K.E.

∴ 208 Joules = K.E.

The kinetic energy of an particle moving in the circular path, K.E. = 208 Joules.

Answer:

11m/s²

Explanation:

Given parameters:

Mass of object  = 10g  = 0.01kg

Radius  = 5cm  = 0.05m

V = 0.75m/s

Unknown:

Centripetal acceleration  = ?

Solution:

Centripetal acceleration is the acceleration of a body in circular path. It can be derived using;

     a  = \(\frac{v^{2} }{r}\)  

v is the velocity

r is the radius

Now, insert the parameters;

         a  = \(\frac{0.75^{2} }{0.05}\)   = 11.25m/s²

Answer:sorry i am only in 6 grade but this is a explanation

Explanation:Matter cannot be created or destroyed in chemical reactions. This is the law of conservation of mass. In every chemical reaction, the same mass of matter must end up in the products as started in the reactants. Balanced chemical equations show that mass is conserved in chemical reactions.

Taking into account the Newton's second law, the acceleration of the 100 g mass is 50 m/s².

Newton's second law states that this force will change the speed of an object because the acceleration and/or direction will change.

So, Newton's second law defines the relationship between force and acceleration mathematically. This law says that the acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object:

F= m×a

where:

In this case, you know:

Replacing in Newton's second law:

5 N= 0.1 kg× a

Solving:

a= 5 N÷ 0.1 kg

a= 50 m/s²

Finally, the acceleration is 50 m/s².

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A light-year is a unit of distance, specifically the distance that light travels in one year.

Light travels at a speed of approximately 299,792 kilometers per second (or about 186,282 miles per second) in a vacuum. Therefore, to determine which planet is 20 light-years away from Earth, we need to identify a planet located at a distance of approximately 20 times this speed of light.

As of my knowledge cutoff in September 2021, no known exoplanets have been directly observed and confirmed to be located exactly 20 light-years away from Earth. However, there are numerous exoplanets that have been discovered within a range of distances from Earth.

Some notable exoplanets discovered within approximately 20 light-years of Earth include:

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Answer: A-B-C-E-G-K-H-I

Explanation:

Ok, we start at A.

16 pints = x gallons.

We know that:

1 pint = 0.125 al

then:

16pint = 16*(0.125gal) = 2 gal.

The second letter is B.

Now we have:

12,320 yd = X mi

And we know that:

1 mi = 1760 yd.

Then 12,320yd = (12,320/1760) mi = 7mi

the letter is C.

Now we have:

432 cups = X gals

and:

1 cup = 0.0625 gal

then 432 cups = 432*(0.0625 gal) = 27 gal.

The next letter is E.

Now we have:

1/4 ton = X pounds.

And 1 ton = 2000 pounds

then 1/4 ton = (1/4)*2000 pounds = 500 pounds

The next letter is G.

Now we have:

3.5 gal = X ounces.

and we know that:

1 gal = 128 oz

Then:

3.5 gal = 3.5*(128oz) = 448oz

The next letter is K.

Now we have:

1/2 day = x minutes.

and we know that:

1 day = 24*60 min = 1440 min

then 1/2 day = (1/2)*1440 min = 720 min.

The next letter is H.

Now we have:

360 in = x yd

And we know that:

1yd = 36 inches.

then 360 in = (360/36) = 10 yd.

The next letter is I

Now we have:

56 cups = x quarts.

and we know that;

1cup = 0.25 quart

then: 56 cups = 56*0.25 quart = 14

So here this ends.

Then the code is:

A-B-C-E-G-K-H-I

The separation between the objective lens and the specimen when it is in focus is called depth of focus.

The depth of focus, or DOF, is the image-space counterpart of DOF and refers to how, as the sensor is moved, but the object stays in place, the quality of focus changes on the sensor side of the lens. The amount of tip and tilt that can be tolerated between the sensor plane and the lens picture plane is determined by the depth of focus. Tilt has a greater effect on attaining the best focus across the sensor as focus drops because the depth of focus also decreases as focus decreases. Without intentional alignment, there will always be some variance in the orthogonality between the utilized sensor and lens; it illustrates how this problem manifests itself. Problems with depth of focus alone are typically thought to be rare.

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Answer:

The quadratic function models the path of the rocket. When we substitute an x value, we can determine the height in feet of the rocket.

To determine the height it was launched from, we would look at the y-intercept. This represents the starting value, as time = 0 in this point (cannot have negative time).

To determine how far the rocket traveled, we would look at the positive x-intercept of the expression. At this point, height = 0, so we can see the distance from start to finish of the rocket.

To determine the greatest height achieve, we would look at the vertex of the parabola generated from the given function. Using (-b/a, f(-b/a)), we can determine the greatest height achieved.

Density is the mass per unit volume of any object. It is calculated by dividing the mass of an object by its volume. This is:

ρ = m/V

ρ = 4.05 g  / 12 mL

ρ = 0.3375 g/mL

OPTION A

Answer:

\(\huge\boxed{\sf Power = 1274\ W}\)

Explanation:

Total mass = m = 90 kg + 40 kg = 130 kg

Height = h = 20 m

Acceleration due to gravity = g = 9.8 m/s²

Time = t = 55 s

Power = P = ?

\(\displaystyle P=\frac{Work}{Time}\)

Here, the work is done in the form of potential energy.

So,

Work = P.E

As we know,

P.E = mgh

P.E = (130)(9.8)(20)

So,

Power = 25480 / 20

Power = 1274 W

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Newton’s Second Law of Motion is defined as Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.

\(\Delta p = mv - mu \\\\\implies \Delta p = m(v-u) \\\\F = \dfrac{\Delta p}{\Delta t} = \dfrac{m(v-u)}{\Delta t} = ma\)

F = ma is the formula of Newton’s Second Law of Motion.

To prove Newton's second law of motion,

Given Force F = Δp/Δt

Proof for F=ma

     Let us consider an object of mass m, moving along a straight line with an initial velocity u, final velocity v and it has some particular time t and thus Momentum can be related as,

For initial velocity u, p1 = m × u

The final velocity v, p2 = m × v

The change in momentum can be expressed as

p2 – p1 = (m × v) – (m × u)

p2 – p1 = m (v – u)

Here, we know that the rate of change of momentum with respect to time is proportional to the applied force.

The applied force F,

F ∝ [m (v – u)]/t

F ∝ m × a

As acceleration (a) is the rate of change of velocity with respect to time.

F = k × m × a

F = ma

where k can be the constant.

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The direction of the magnetic force in a magnet depends on the direction of the external magnetic field and the orientation of the magnet.

In a magnet, the direction of the magnetic force depends on the orientation of the magnet and the direction of the magnetic field in which it is placed. The magnetic force experienced by a magnet is a result of the interaction between its magnetic field and the external magnetic field.

If the magnet is placed in an external magnetic field that is parallel to its magnetic field, there will be no net force on the magnet. However, if the external magnetic field is perpendicular to the magnetic field of the magnet, there will be a magnetic force acting on the magnet, which can cause it to move.

The direction of the magnetic force is given by the right-hand rule, which states that if you point your right thumb in the direction of the external magnetic field, and your fingers in the direction of the magnetic field of the magnet, then the direction in which your palm faces is the direction of the magnetic force.

The force can be attractive or repulsive depending on the relative orientation of the magnetic fields, and it can be used in a wide range of applications, including electric motors, generators, and magnetic storage devices.

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a)  the total energy of the cart at point B is 2400 Joules.

b)  the height of point A is approximately 1.83 meters.

(a) To find the total energy of the cart at point B, we need to consider both its kinetic energy and potential energy.

The kinetic energy (KE) of the cart can be calculated using the formula:

KE = (1/2)mv^2

where m is the mass of the cart assembly and passengers, and v is the speed of the cart.

Given:

Mass (m) = 300 kg

Speed (v) = 4 m/s

Plugging in the values, we get:

KE = (1/2) * 300 kg * (4 m/s)^2

KE = 2400 J

Next, we need to calculate the potential energy (PE) of the cart at point B. Since point B is on the ground, we can take the reference level as the ground level, where the potential energy is zero.

Therefore, at point B, the potential energy of the cart is zero.

The total energy (E) of the cart at point B is the sum of its kinetic energy and potential energy:

E = KE + PE

E = 2400 J + 0 J

E = 2400 J

Therefore, the total energy of the cart at point B is 2400 Joules.

(b) To determine the height of point A, we can use the conservation of energy principle. At point A, the cart has potential energy (PE) and kinetic energy (KE).

The total energy (E) of the cart at point A is the sum of its kinetic energy and potential energy:

E = KE + PE

Since the cart is at rest at point A (initially), its kinetic energy is zero:

KE = 0

Therefore, the total energy (E) at point A is equal to the potential energy (PE):

E = PE

Given:

Total mass (m) = 300 kg

Speed at point A (v_A) = 0 m/s

Speed at point C (v_C) = 6 m/s

Acceleration due to gravity (g) = 9.8 m/s²

Using the equation for potential energy:

PE = mgh

At point C, the cart has maximum kinetic energy and zero potential energy. Therefore, the total energy (E) at point C is equal to the kinetic energy (KE):

E = KE = (1/2)mv_C^2

Plugging in the values, we get:

E = (1/2) * 300 kg * (6 m/s)^2

E = 5400 J

Since energy is conserved, the total energy at point A is also 5400 J:

E = 5400 J

Equating the total energy at point A to the potential energy, we have:

PE = 5400 J = mgh

Rearranging the equation, we can solve for the height (h):

h = PE / (mg)

h = 5400 J / (300 kg * 9.8 m/s²)

h ≈ 1.83 meters

Therefore, the height of point A is approximately 1.83 meters.

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The voltage drop across the 18 kΩ resistor is 90 volts. This means that when a current of 5 mA flows through an 18 kΩ resistor, there is a potential difference of 90 volts across the resistor.

To calculate the voltage drop across a resistor, Ohm's Law can be applied. Ohm's Law states that the voltage (V) across a resistor is equal to the product of the current (I) flowing through it and the resistance (R) of the resistor. The formula for Ohm's Law is V = I * R.

Given:

Current (I) = 5 mA = 5 * 10^(-3) A

Resistance (R) = 18 kΩ = 18 * 10^(3) Ω

Using Ohm's Law, we can calculate the voltage drop (V):

V = I * R

= (5 * 10^(-3) A) * (18 * 10^(3) Ω)

= 90 V

Therefore, the voltage drop across the 18 kΩ resistor is 90 volts. This means that when a current of 5 mA flows through an 18 kΩ resistor, there is a potential difference of 90 volts across the resistor.

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Answer:

a is the correct answer

from the formula of wave length=v/f

therefore f= v/wave length

these implies f= 345/4.15 = 83.1hertz

Explanation:What is centripetal acceleration?

Can an object accelerate if it's moving with constant speed? Yup! Many people find this counter-intuitive at first because they forget that changes in the direction of motion of an object—even if the object is maintaining a constant speed—still count as acceleration.

Acceleration is a change in velocity, either in its magnitude—i.e., speed—or in its direction, or both. In uniform circular motion, the direction of the velocity changes constantly, so there is always an associated acceleration, even though the speed might be constant. You experience this acceleration yourself when you turn a corner in your car—if you hold the wheel steady during a turn and move at constant speed, you are in uniform circular motion. What you notice is a sideways acceleration because you and the car are changing direction. The sharper the curve and the greater your speed, the more noticeable this acceleration will become. In this section we'll examine the direction and magnitude of that acceleration.

The figure below shows an object moving in a circular path at constant speed. The direction of the instantaneous velocity is shown at two points along the path. Acceleration is in the direction of the change in velocity, which points directly toward the center of rotation—the center of the circular path. This direction is shown with the vector diagram in the figure. We call the acceleration of an object moving in uniform circular motion—resulting from a net external force—the centripetal acceleration

a

c

a

c

​

a, start subscript, c, end subscript; centripetal means “toward the center” or “center seeking”.

The mathematical relationship between the voltage across the bulb and the current flowing through the bulb is a linear relationship.

According to Ohm's Law, the voltage across a resistor (in this case, the bulb) is directly proportional to the current flowing through it. Mathematically, this relationship can be expressed as V = IR, where V is the voltage, I is the current, and R is the resistance of the bulb. In the case of a bulb, the resistance is typically constant, so the voltage across the bulb and the current flowing through it have a linear relationship.

If the current increases, the voltage across the bulb will also increase, and vice versa. This linear relationship allows for easy calculation of voltage or current given the value of the other variable, assuming the resistance remains constant.

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a) The power input to the compressor in the Carnot refrigeration cycle, in order to supply 2 kW of cooling to the room, will depend on the efficiency of the cycle and the heat transfer involved.

b) The net power input to the cycle can be determined by considering the work done by the compressor and the work done on the system.

a) To calculate the power input to the compressor, we need to determine the heat transfer from the groundwater to the room. The Carnot refrigeration cycle is an idealized cycle, and its efficiency is given by the equation: Efficiency = 1 - (T_evaporator / T_condenser), where T_evaporator and T_condenser are the temperatures at the evaporator and condenser, respectively. Using this efficiency, we can calculate the heat transfer from the groundwater and convert it to power input.

b) The net power input to the cycle takes into account the work done by the compressor and the work done on the system. It can be calculated by subtracting the work done by the compressor from the heat transfer from the groundwater. The work done by the compressor can be determined using the power input calculated in part a), and the heat transfer from the groundwater can be obtained using the given temperatures and the specific heat properties of the refrigerant.

Overall, the Carnot refrigeration cycle involves several calculations to determine the power input to the compressor and the net power input to the cycle, considering the heat transfer and work done in the system.

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A liquids resistance to flow is called Viscosity

A phase change from the liquid phase to the vapour phase is called vaporisation (or vaporisation) of an element or molecule. Both evaporation and boiling result in vaporisation. Boiling is a bulk phenomenon, whereas evaporation is a surface phenomenon.

vaporisation is the process by which a material is transformed from its liquid or solid state into its gaseous (vapour) state. Boiling is the term for the vaporisation process when circumstances permit the creation of vapour bubbles within a liquid.

Evaporation is a typical process that takes place when a liquid transforms into a gas while raising the temperature or pressure. Boiling is an unnatural process in which the liquid is continuously heated to a point where it vaporises.

The transformation of a liquid into a gas is known as vaporisation.

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When a disease called myopia (near-sightedness) goes untreated, the picture of a distant object is centred in front of the retina, resulting in fuzzy distance vision. Myopia is a result of an imbalance between the eye's optical axial length and refracting power.

Myopia, a disease that affects many people, causes near objects to appear clear while far-distant objects to appear blurry. It happens when light rays incorrectly bend (refract) due to the shape of the eye or specific portions of the eye. When images enter the eye and focus in front of the retina, myopia is the result.

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91% is the voltage applied to the load (secondary voltage) and the efficiency.

To determine the voltage applied to the load (secondary voltage) and the efficiency, we can use the equivalent circuit parameters of the transformer and the given load impedance.

Given parameters:

Transformer rating: 20 kVA

Transformer turns ratio: 800/230 [V]

R1 = R2 = 10 Ω

X1 = X2 = 50 Ω

Rc = 100 Ω

Xm = 20 kΩ

Load impedance: ZL = 2+j0.6 Ω

First, we can calculate the equivalent impedance seen by the primary side of the transformer using the turns ratio:

Zeq = (ZL * (N2/N1)^2) = (2+j0.6 * (230/800)^2) = 0.79+j0.237 Ω

Next, we can calculate the primary current (I1) using the formula:

I1 = V1 / (R1 + jX1 + Zeq) = 800 / (10+j50 + 0.79+j0.237) = 8.29 - j2.35 A

Now, we can calculate the secondary voltage (V2) using the turns ratio:

V2 = V1 * (N2/N1) = 800 * (230/800) = 230 V

Finally, we can calculate the efficiency (η) using the formula:

η = (Pout / Pin) * 100

Where Pout is the output power and Pin is the input power. Since this is a single-phase transformer, the power factor is given by:

Power Factor (PF) = Pout / Pin = (V2 * I2) / (V1 * I1)

We know V2 = 230 V, V1 = 800 V, and we can calculate I2 using Ohm's Law:

I2 = V2 / ZL = 230 / (2+j0.6) = 105.56 + j31.67 A

Now, we can calculate the power factor:

PF = (V2 * I2) / (V1 * I1) = (230 * (105.56 + j31.67)) / (800 * (8.29 - j2.35))

= 0.91 + j0.21

Finally, we can calculate the efficiency:

η = (PF) * 100 = (0.91 + j0.21) * 100 = 91% + j21%

Therefore, the secondary voltage applied to the load is 230 V, and the efficiency of the transformer is 91% with a power factor of 0.91 leading.

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Answer:

speed = 65.7 km/h

Explanation:

speed = distance over time, so you'd do 460 km/7 hrs to get your speed in km/h

MTTF or Mean Time to Failure can be calculated using the given data. The term MTTF is often used to describe the expected lifetime of electronic devices and other items.

Here is how to calculate MTTF when given data:(c) Life testing was made on six non-replaceable) electrical lamps and the following results were obtained.

Calculate MTTF.The following data has been given:Number of lamps, n = 6Total time, T = 10000 hoursFailures, f = 2MTTF formula is given as:MTTF = T / n * fWhere, T = total time during which the test was conducted.n = the number of items tested.f = the number of items failed.Using the given data, we can calculate the value of MTTF as follows:MTTF = T / n * f = 10000 / 6 * 2= 1666.67 hoursTherefore, the MTTF of the six non-replaceable electrical lamps is 1666.67 hours.

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The tension in the cable is 13,200N

Tension is a force that runs the length of a medium, particularly one that is flexible like a rope or cable. An action-reaction pair of forces acting at each end of the aforementioned elements is what is referred to as tension.

The combined mass of the cab and elevator is =2200 kg

acceleration of coin with respect to the elevator =6.00 \(m/s^{2}\)

\(a_{ce} = a_{cg} -a_{eg}\)

\(a_{eg} = -9.8 + 6.0\)

\(a_{eg} =3.8 m/s^{2}\)

\(T = M (g - a_{eg} )\)

   = 2200 kg (9.8 - 3.8)

   =13,200N

The tension in the cable is 13,200N

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