21. An AC generator has an rms output voltage of 274 V at a frequency of 57.0 Hz.
The generator is connected across a 0.900-H inductor.
(a) Determine the inductive reactance.

(b) Determine the maximum voltage across the inductor.

(c) Determine the rms and maximum currents in the inductor

The velocity of the boat after the package is thrown is 0.36 m/s.

Apply the principle of conservation of linear momentum;

Pi = Pf

where;

v(74 + 135) = 15 x 5

v(209) = 75

v = 75/209

v = 0.36 m/s

Thus, the velocity of the boat after the package is thrown is 0.36 m/s.

Learn more about velocity here: https://brainly.com/question/6504879

#SPJ1

Answer:

c

Explanation:

the formula Torque = Force X Distance. While distance is measured in meters and force is measured in newton so torque is measured in newton ⋅ meter

Answer: See below

Explanation:

Part (a):

The angular speed of the Earth can be calculated as,

[tex]\omega &= \dfrac{{2\pi }}{T}\\ \omega &= \dfrac{{2\pi }}{{\left( {23 \times 3600} \right)\left( {56 \times 60} \right) + 4}}\\ \omega &= 7.29 \times {10^{ - 5}}\;{\rm{rad/s}}[/tex]

Part (b):

The linear velocity of the object can be calculated as,

[tex]v &= \omega r\sin \theta \\ v &= \left( {7.29 \times {{10}^{ - 5}}} \right)\left( {6.37 \times {{10}^6}} \right)\sin 47^\circ \\ v &= 339.62\;{\rm{m/s}}[/tex]

Part (c):

The acceleration of the object can be calculated as,

[tex]a &= \dfrac{{{v^2}}}{{r\sin \theta }}\\ a &= \dfrac{{{{339.62}^2}}}{{6.37 \times {{10}^6}\sin 47^\circ }}\\ a &= 0.024\;{\rm{m/}}{{\rm{s}}^{\rm{2}}}[/tex]

Answer:

50+20=70

70÷5=14

Explanation:

50×20=1000

1000÷5=200

Answer:

Approximately [tex]20\; {\rm s}[/tex], assuming no energy loss and that [tex]g = 10\; {\rm N \cdot kg^{-1}}[/tex].

Explanation:

If the gravitational field strength is constantly [tex]g[/tex], lifting an object of mass [tex]m[/tex]  by a height of [tex]\Delta h[/tex] would increase the gravitational potential energy ([tex]\text{GPE}[/tex]) of that object by [tex]m\, g\, \Delta h[/tex].

In this question, [tex]m = 20\; {\rm kg}[/tex] and [tex]\Delta h = 5\; {\rm m}[/tex]. Assume that [tex]g = 10\; {\rm N \cdot kg^{-1}}[/tex]. Hence, the [tex]\text{GPE}[/tex] that this object would eventual gain would be:

[tex]\begin{aligned}m\, g\, \Delta h &= 20\; {\rm kg} \times 10\; {\rm N \cdot kg^{-1}} \times 5\; {\rm m} \\ &= 1000\; {\rm N \cdot m} \\ &= 1000\; {\rm J}\end{aligned}[/tex].

Thus, this motor would need to do (at least) [tex]1000\; {\rm J}[/tex] of work to lift this object up by [tex]5\; {\rm m}[/tex]. The power rating of this motor, [tex]P = 50\; {\rm W} = 50\; {\rm J \cdot s^{-1}}[/tex], means that (assuming no energy loss) this motor could do [tex]50\; {\rm J}[/tex] of work every second.

The time it would take for this motor to do [tex]1000\; {\rm J}[/tex] of work under these assumptions would be:

[tex]\begin{aligned}t &= \frac{\text{work}}{\text{power}} \\ &= \frac{1000\; {\rm J}}{50\; {\rm J \cdot s^{-1}}} \\ &= 20\; {\rm s}\end{aligned}[/tex].

The equivalent capacitance in the circuit is 15.05 F.

The two parallel plates placed at a distance apart are used to store charge when the electric supply is on.

The capacitance of a capacitor in series is given by:

Series capacitance = 1/ capacitance 1 + 1/ Capacitance2

The capacitance of a capacitor in parallel series can be calculated as:

Parallel capacitance = Capacitance 1 + Capacitance 2

In the following circuit,

C1=10.0 F,

C2=2*10.0 F,

C3=2*10.0 F,

C4=2*9.4 F, and

C5=3*9.4.

In the circuit C2 and C3 are in parallel, their equivalent capacitance is

= 2*10.0 F+2*10.0 F

= 4 *10.0 F

Then, C1 is in series with 4 *10.0 F,

So their equivalent capacitance is

=1 /{ 1/10.0 F + 1/ 4 *10.0 F}

=0.8*10.0 F

C4 and C5 are in series, their equivalent is

=1 /{ 1/2*9.4 F + 1/3*9.4 F}

=0.75*9.4 F

Now,0.8*10.0 F and 0.75*9.4 F are in parallel.

Total equivalent capacitance is Ceq = 0.8*10.0 F + 0.75*9.4 F

Ceq = 15.05 F

Thus, the equivalent capacitance in the circuit is  15.05 F.

Learn more about parallel plate capacitors, here:

https://brainly.com/question/12733413

#SPJ1

Answer:

The reason is to allow the thermometer to respond relatively quickly, and relatively accurately. The glass contains the liquid being used in the thermometer, but if it is too thick, then it will not pass heat as quickly, and it will absorb some of the heat from whatever is being measured.

Explanation:

˙˚ʚ(´◡`)ɞ˚˙

Abraham Maslow was the person who studied highly successful people and developed the hierarchy of needs. Thus, option C is correct.

Abraham Maslow was one of the most influential psychologists of the twentieth century. His work on humanistic psychology and his development in the hierarchy of needs is very popular.

According to Abraham Maslow, humans have five tiers of needs and they are food and shelter, love and belonging, esteem, safety needs, and self-actualization.

The hierarchy of needs has five basic levels. The bottom level comprises the basic needs of people like food, and shelter. Top-level comprises esteem and self-actualization.

Maslow hierarchy of needs involves the model for understanding human behavior. Hence, Abraham Maslow developed the hierarchy of needs. Thus, the correct option is C.

To learn more about the hierarchy of needs:

https://brainly.com/question/29495620

#SPJ2

The amount of energy lost to air friction, given the data is 37.71 J

E₁ = ½mu²

E₁ = ½ × 0.45 × 15.1²

E₁ = 51.3 J

E₂ = ½mv²

E₂ = ½ × 0.45 × 19.89²

E₂ = 89.01 J

Energy lost = E₂ - E₁

Energy lost = 89.01 - 51.3

Energy lost = 37.71 J

Learn more about energy:

https://brainly.com/question/10703928

#SPJ1

Considering the Ohm's law, the resistance of the lightbulb is 144.58 Ω.

The flow of electricity through an object, such as a wire, is known as current (I). Its unit of measure is amps (A). So the current is a measure of the speed at which the charge passes a given reference point in a specified direction.

The driving force (electrical pressure) behind the flow of a current is known as voltage and is measured in volts (V) (voltage can also be referred to as the potential difference or electromotive force). That is, voltage is a measure of the work required to move a charge from one point to another.

Resistance (R) is the difficulty that a circuit opposes to the flow of a current and it is measured in ohms (Ω).

Ohm's law establishes the relationship between current, voltage, and resistance in an electrical circuit.

This law establishes that the intensity of the current that passes through a circuit is directly proportional to the voltage of the same and inversely proportional to the resistance that it presents.

Mathematically, Ohm's law is expressed as:

[tex]I=\frac{V}{R}[/tex]

Where:

In this case, you know that the voltage between two points in a circuit is 120 V and there is a current of 0.83 A.

Replacing in the Ohm's Law:

[tex]0.83A=\frac{120 V}{R}[/tex]

Solving:

0.83 A× R=  120 V

[tex]R=\frac{120 V}{0.83A}[/tex]

R= 144.58 Ω

Finally, the resistance of the lightbulb is 144.58 Ω.

Learn more about Ohm's law:

brainly.com/question/13076023

brainly.com/question/17286882

brainly.com/question/2275770

#SPJ1

The statement that best explains the movement of electric current is that the ground is positively charged and the clouds are negatively charged.

Lightning storm can be defined as the electrical outlet that occurs due to unsteadiness of the storm clouds and the ground.

Lightning storm occurs when opposite charges build up enough in the air leading to rapid discharge of electricity.

Learn more about storms here:

https://brainly.com/question/25775340

#SPJ1

The velocity of the mass at time, t = 1 s, is determined as 20 m/s.

The magnitude of the force experienced by the body is calculated as follows;

|F| = √(8² + 6²)

|F| = 10 N

From Newton's second law of motion;

F = ma

where;

a = F/m

a = 10 /0.5

a = 20 m/s²

v = at

v = 20 x 1

v = 20 m/s

Learn more about velocity here: https://brainly.com/question/6504879

#SPJ1

The gravitational force on block B is twice as much as the gravitational force on block A.

Force is the product of mass and acceleration. If the mass of A is 1Kg and the mass of B is 2Kg, In order to give the masses the same horizontal acceleration, the magnitude of the force on block B must be twice as much as the force on block A.

Given that the mass of A is 1Kg and the mass of B is 2Kg, the gravitational force on block B is twice as much as the gravitational force on block A.

If I hold block A with a mass of 1 kg in one hand and block B with a mass of 2 kg in the other  and release both from the same height above the ground at the same time, the two blocks hit the ground at the same time, because they both accelerate at the same rate while falling. The greater gravitational force on block B is compensated by its greater mass, giving it the same acceleration.

Learn more about force:https://brainly.com/question/12528243

#SPJ1

Answer:

50

Explanation:

Use the Pythagorean theorem to find the length of the diagonal, or the hypotenuse of an imaginary triangle. 30^2 + 40^2 = 2500, which is 50^2. So, the magnitude is 50.

Brainliest, please :)

(a) The magnitude of acceleration in a vertical takeoff from the Moon will be 0.73 m/s².

(b)Option d is correct.

Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.

Force is defined as the product of mass and acceleration. Its unit is Newton.

Given data;

Force, F =?

Mass of a fully loaded module,m = 10,600 kg

Acceleration due to gravity on moon,g = 1.67 m/s²

Thrust of its engines is,F= 25,500 N.

The net force is found as follows;

[tex]\rm F_{net} = F -W[/tex]

ma = F-W

(10,600) kg × a = 25,500 N - (10,600 kg )(1.67)

a = 0.73 m/s²

b)

Yes, it lifts off from Earth. Because the thrust of the module's engines is greater than its weight on Earth.

F>W

Hence option d is correct.

To learn more about the force refer to the link;

https://brainly.com/question/26115859#SPJ1

#SPJ1

The fundamental forces in nature are strong force, weak force, electromagnetic force, and the gravitational force.

There are four fundamental forces at work in the universe. These fundamental forces include;

Thus, the fundamental forces in nature are strong force, weak force, electromagnetic force, and the gravitational force.

Learn more about fundamental forces here: https://brainly.com/question/793762

#SPJ1

Answer:motion

Explanation:

kinetic energy of an object that it possess due to its motion.

Taking into account the definition of solvent and solute, helium is the solute and oxygen is the solvent.

The solution is a homogeneous mixture of two or more components that have the same chemical and physical properties in a single phase. A solution is made up of two main components: the solute and the solvent.

That is, the solute and the solvent are the components of a chemical solution, that is, of a homogeneous mixture that occurs when one or more substances are dissolved in another substance.

The solute is the substance that dissolves in a solution. In solution, the solute is usually found in a lower proportion than the solvent.

Solvent is the substance in which a solute dissolves, resulting in a chemical solution. Generally, the solvent is the component that is found in the highest proportion in the solution. It will always be the solvent who will determine the state of the matter that will have the solution.

In this case,  you consider that the solute is the component in less quantity and the solvent is the major component.

You know that a solution made of 15 g of oxygen and 5 g of helium. Then, helium is the solute and oxygen is the solvent.

Learn more about solvent and solute:

brainly.com/question/13133789

brainly.com/question/2614077

brainly.com/question/14129775

brainly.com/question/11985826

brainly.com/question/8620871

#SPJ1

The type of synthetic material used in each object include:

These are materials which are produced in the laboratory through different types of chemical processes.

Paper is made up of polymers such as Carboxylated styrene-butadiene latex etc.

Read more about Synthetic material here https://brainly.com/question/24357817

#SPJ1

The statement that best explains the movement of electric current is that the ground is positively charged and the clouds are negatively charged.

Lightning storm can be defined as the electrical outlet that occurs due to unsteadiness of the storm clouds and the ground.

Lightning storm occurs when opposite charges build up enough in the air leading to rapid discharge of electricity.

Learn more about storms here:

https://brainly.com/question/25775340

#SPJ1

We can get water from the sweat and exhaled breath of the people present in the space station.

We can get water from the sweat and exhaled breath. The water we drink is recycled from the sweat and exhaled breath of the people present in the space station which was collected through  condensation on the Space Station's walls.

So we can conclude we can get water from the sweat and exhaled breath of the people present in the space station.

Learn more about water here: https://brainly.com/question/1313076

#SPJ1

Pacific Ocean has more thermal energy and a higher temperature.

The term thermal energy refers to the energy that is possessed by a body as a result of a temperature difference between a body and its environment.

We know that the thermal energy is also dependent on the mass of a body. Therefore, the statement about thermal energy and temperature that is correct is; water in the Pacific Ocean has more thermal energy and a higher temperature.

Missing parts:

Compare a cup of hot coffee with the Pacific Ocean. Which statement about thermal energy and temperature is correct?

Water in the Pacific Ocean has more thermal energy and a higher temperature.

Water in the Pacific Ocean has less thermal energy and a lower temperature.

Water in the Pacific Ocean has less thermal energy and a higher temperature

Water in the Pacific Ocean has more thermal energy and a lower temperature.

Learn more about thermal energy:https://brainly.com/question/3022807

#SPJ1

Hello!

The equation for the magnetic force experienced by a wire is:
[tex]F_B = B \times iL[/tex]

F = Magnetic force on wire (30 N)

B = Magnetic field strength (5.0i + 7.0j)

i = Current in wire (4.0 A)
L = Length of wire (? m)

This is a CROSS-PRODUCT. We can rewrite this as:
[tex]F_B = BiLsin\theta[/tex]

Where 'θ' is the angle between the magnetic field and the current carrying wire.

Therefore, we would NOT count any field that is parallel to the wire. The field does have a component (5.0i) that is along the x-axis, so we would NOT count it because the wire is along this same axis.

This leaves the 'j' component, which is PERPENDICULAR to the wire. θ would then be 90°, and sin(90) = 1.

[tex]F_B = B\hat{j} iL[/tex]

Solving for the length:
[tex]L = \frac{F_B}{B\hat{j} i}\\\\L = \frac{30}{7(4)} = \boxed{1.07 m}[/tex]

The x and y components of  the vector is 31.59 m and 29.46 m respectively.

The x component is calculated as follows;

v(x) = v cos(43)

v(x) = 43.2 m x cos(43) = 31.59 m

The y component is calculated as follows;

v(y) = v sin(43)

v(y) = 43.2 m x sin(43) = 29.46 m

Thus, the x and y components of  the vector is 31.59 m and 29.46 m respectively.

Learn more about vectors here: https://brainly.com/question/25811261

#SPJ1

According to the information, it can be inferred that the best way to distribute the chairs and mirrors is to put the light system on a wall and put the 3 mirrors and chairs in front of the light as shown in the image.

To take advantage of the light from the bulb for the three chairs and the three mirrors, the objects must be placed in such a way that all three receive enough light to be able to carry out the work of cutting the hair.

So, the best option would be to put the bulb in the middle of a wall, and place a chair and mirror in front of the bulb. The other two chairs should be located one on each side of the centered chair and the mirrors in front of each chair.

Learn more about light in: https://brainly.com/question/26914812

#SPJ1

Answer:

A principle stating that energy cannot be created or destroyed, but can be altered from one form to another.

Explanation:

Answer
Yes i will help u!

The net force on particle q3 is 112.11 N

The electrostatic force F between two charged objects placed distance apart is directly proportional to the product of the magnitude of charges and inversely proportional to the square of the distance between them.

F = kq₁q₂/r²

where k = 9 x 10⁹ N.m²/C²

The Particles q1 = -53.0 uc, q2 = +105 uc, and q3 = -88.0 uc are in a line. Particles qı and q2 are separated by 0.50 m and particles q2 and q3 are separated by 0.95 m.

The net force F3 = F13 + F23

Substitute the values, we get the force F on q3 as

F3 = 9 x 10⁹x53.0 x 10⁻⁶x 88.0 x 10⁻⁶ / (0.5+0.95)² + 9 x 10⁹x105.0 x 10⁻⁶x 88.0 x 10⁻⁶ / (0.95)²

F3 = 112.11 N

Thus, the magnitude of the force on charge q3 is 112.11 N.

Learn more about electrostatic force.

brainly.com/question/9774180

#SPJ1

Ben as a psychology student is most likely conducting a behavioral study.

What is psychology?

Psychology can simply be defined as the study of human mind, conscious and unconscious, thoughts and feelings.

In conclusion, Ben as a psychology student is most likely conducting a behavioral study.

Some few branches of psychology are:

Learn more about psychology:

https://brainly.com/question/12011520

#SPJ1