A series RLC circuit consisting of a capacitor of capacitive reactance

30

Ω
, a non-inductive resistor of

44

Ω
, and a coil of inductive reactance
90

Ω
and resistance

36

Ω
are connected across a 200-V, 60-Hz line as shown in the figure. Calculate the impedance of the circuit.


0.1

k
Ω


10.0

k
Ω


100.0

k
Ω


1.0

k
Ω

Force static = [tex]m_{s}n[/tex]

[tex]S_{2}[/tex] = 0.6 x N

N = 82/0.6 = 136 . 67N

[tex]m_{k}[/tex] = 0.11

N - 136.67 N

Kinetic = [tex]m_{k}N[/tex]

= 0.11 * 1.36 .67N

= 15. 0337N.

The acceleration of an object is equal to the net force acting on the object divided by its mass. A change in the velocity of an object is an increase or decrease in velocity or a change in direction of motion. Examples of acceleration include falling apples, orbiting the moon, and stopping a car at a traffic light.

Rocket acceleration is based on an applied force known as thrust, an example of Newton's second law of motion. Another example of Newton's second law is that when an object falls from a certain height, it accelerates due to gravity. An initial positive acceleration corresponds to a change in velocity away from zero in the first step. A constant walking motion then produces an acceleration that oscillates from positive to negative averaging to zero.

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The unit of N is 238.8

What is unit ?

an individual thing or person regarded as single and complete but which can be a also form the an be  individual component of a larger or more complex the  whole.

Sol-On an inclined plane, component of the weight i.e. gravitational force acting in opposite direction to normal force is mgcos\thetamgcosθ and the component acting down the inclined plane is mgsin\theta.mgsinθ.

It is given that the weight of the block is, mg=  242.N

The angle made with the inclined plane is 37.2°

\Rightarrow mgsin\theta = 242.N N sin 37.2°/^o =238 N⇒mgsinθ=242.N?Nsin42.9

o

=238.8N

Hence, the component of the gravitational force acting down the inclined plane is 238.8 N.

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Answer:

Explanation:

Given:

d = 33.9 cm

f = 8.57

___________

F - ?

G - ?

The focal length of the lens:

F = d*f / (d + f) = 33.9*8.57 / (33.9 + 8.57) ≈ 6.84 cm

The magnification of the object:

M = f / d = 8.57 / 33.9 ≈ 0.25

(c) Friends think she may be diving into pseudoscience.

Friends of Carly speculate that she may be engaging in pseudoscience.

A claim, discovery, or explanatory framework lacks the objectivity required for scientific investigation when it is presented as pseudoscience. Pseudoscience can also result from research that is based on dubious theories, poor experimental layouts, or incorrect data.

A single assertion or claim that is purported to be supported by facts or science but breaks down when subjected to the test of reason is referred to as pseudoscience.

Another illustration of a pseudoscience is a complex system, such as astrology, that purports to explain how astronomical events influence and are affected by global events. Numerous bogus sciences, such as astrology, are largely risk-free.

The correct option is (c).

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The cyclist has moved 115.5 meters from the check point to the point of turning back.

As, we can see, the acceleration is constant,

We can use equation of motion,

S = ut + 1/2at²

Where s is the displacement,

u is the initial velocity,

t is the time taken,

a is the acceleration,

In the question it is given,

Initial velocity is 5.5m/s,

Acceleration is 0.55m/s²,

Time taken is 20 seconds,

Here, S is the distance between the cyclist's check point and the returning point,

Putting all the values,

S = 5.5x20 + 1/2x0.55x20

S = 110 + 5.5

S = 115.5 meters.

Hence, the distance between the check point and returning point is 115.5 meters.

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When a substance changes from one phase to another, which of the following events occurs (A) The substances loses or gains heat.

A Phase change is reversible physical change that happens when a substance changes from one state of matter to the another state of matter. when substances changes from solid , liquid or gas state to different state called as phase change. Temperature can change the substance from one phase to another. for example . we can freeze the water by putting it to freezer to change it into ice and when we put it on heat it changes to liquid.

Thus, When a substance changes from one phase to another, which of the following events occurs (A) The substances loses or gains heat.

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Answer:

The substance loses or gains heat.

Explanation:

Substances can be made to change phases by fluctuating the temperature, the pressure, or both

Conservation of mechanical energy only holds in a frictionless environment where all collisions are perfectly elastic. It shows that the sum of the kinetic and potential energies of an isolated system becomes a time-independent constant.

Energy conservation states that the sum of all energies not only kinetic and potential but also heat chemical energy etc. in an isolated system is constant. The former is a special case of the latter, and the latter is a universal law, but it is often inapplicable because it must account for all of the observable universes.

According to the law of conservation of mechanical energy the total mechanical energy of the system is conserved. That is, energy is neither created nor destroyed. The internal transformation from one form to another is possible only if the forces acting on the system are of a conservative nature. Mechanical energy is not conserved unless non-conservative forces are acting as friction and other dissipative forces directly convert work or ME into thermal energy.

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Vector quantities can be said to be physical quantities that have a number of units(magnitude) and direction.

Vector quantities include the following: Velocity, torque, displacement.

The length of a vector can be said to be the magnitude.

The length of a vector represents the magnitude and the direction of the quantity is the direction which the vector is pointing.

The magnitude of a vector is the length of the vector.

The magnitude is denoted as |v|.

ANSWER:

Magnitude.

Given area of the adeline's house is,

As the one meter in terms of foot is,

Thus, the area can be written as,

Hence, the area in square feet is 2529.52 square feet.

Answer:

1.5 m/s²

Explanation:

Acceleration a is defined as Δv/Δt

where

Δv = change in velocity

Δt = change in time

Here Δv = 24 - 15= 9 m/s

Δt = 6 secs

So a = 9/6 =  1.5 m/s²

The second law of thermodynamics state that the entropy of the universe always increases.

The entropy is the measure of the disorderness of a system. The entropy can be described as a measure of the thermal energy that can not be utilized to do work.

Thus the second law of thermodynamics means that as the energy is transferred more and more energy is wasted.

Given data:

* The value of the frequency of wave is 20,000 Hz.

* The value of wavelength of sound wave is,

The horizontal component of the force Fx of the supporting force on point B is 19.715 N

When a force is not in the vertical (y direction) or in the horizontal (x direction), the force will be in the diagonal and can be resolved in to the horizontal or vertical component

The horizontal component of force refers to the part of he diagonal force resolved to be acting on the x direction

Considering the figure, the force, W acting is given by the product of mass, m and acceleration due to gravity, g

m = 3.0 kg

g = 9.81 m/s

W = mg = 3 * 9.81 = 29.43 N

The force is supported by the string at B

Fx = W cos 60

= 29.43 * 0.5

= 19.715 N

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Speeding up slowing down, and going around curves are all examples of acceleration .

A definition of acceleration is the speed at which velocity varies with respect to time.

Since acceleration has both a magnitude and a direction, it is a vector quantity. Additionally, it is the first derivative of velocity with respect to time or the second derivative of position with respect to time.

The acceleration is given by the formula ,

a = v/t

where , a =acceleration

v = velocity

t = time

the unit of acceleration is m/s² .

The overall change in velocity during the specified interval divided by the total amount of time required for the change is the definition of average acceleration over a particular period of time. It is represented as for a specific amount of time.

a = Δv/Δt

The definition of instantaneous acceleration is the ratio of velocity change during a specified period of time such that the period of time ends.

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Given:

The word 'kinetic'

To find:

The meaning of the word

Explanation:

The word kinetic is related to the movement of any object.

Hence, the word kinetic means Motion.

Answer:

in twinkle and row row your boat is education in childrens

The option that best describes light from the sun is it travels in waves with different wavelengths.

The light from the sun travels to Earth and other parts of the solar system as waves. These waves have different wavelengths with all frequencies of Electromagnetic waves. The light is transmitted as Electromagnetic waves such as radio waves, microwaves, infrared waves, visible light, ultraviolet waves, and X-rays.

Option 1 is incorrect because the sun produces waves other than visible light. Option 3 is incorrect because the sun produces all the wavelengths of visible light from purple to red. Option 4 is incorrect because different Electromagnetic waves have different wavelengths.

Therefore, the option that best describes light from the sun is it travels in waves with different wavelengths.

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Given:

The initial volume of the balloon, V₁=457 cm³=457×10⁻⁶ m³

The initial temperature of the balloon, T₁=270 K

The final temperature of the balloon, T₂=585 K

To find:

The new volume of the balloon.

Explanation:

From Charle's law,

Where V₂ is the new volume of the balloon.

On substituting the known values,

Final answer:

Thus the new volume of the balloon is 990 cm³

The slope of the graphical curve in terms of change in variable along y-axis and the change in the variable along the x-axis is,

The change in force of tension in terms of final and its initial value is,

As the value of force is increasing for the first 4.5 seconds.

Thus, the final value of force of is more than the initial value of force.

The change in force for the first 4.5 seconds is,

Thus, the slope of the curve for the first 4.5 seconds is,

Hence, the slope is positive for first 4.5 seconds.

For the further time till 11.5 seconds,

There is no change in the value of force which means the final value of force is equal to the initial value of force.

The change in force is,

Hence, the slope of the c

Given:

The mass of Maria, m=45 kg

The mass of Jose, M=70 kg

The distance between Maria and Jose, d=8 m

The gravitational constant, G=6.67×10⁻¹¹ Nm²kg⁻²

To find:

The gravitational force of attraction.

Explanation:

From Newton's law of gravitation, the gravitational force of attraction between two objects is proportional to the product of the masses of the objects and inversely proportional to the square of the distance between the objects.

Thus the force between Maria and Jose is given by,

On substituting the known values,

Final answer:

Thus the correct answer is option B.

Word done by brakes: -300,000J

Explanation:

Data:

mass of car : m = 1,500 kg

initial velocity of car: v1 = 20 m/s

final velocity of car: v2 = 0 m/s (car at halt)

kinetic energy at v1 : k1 = ?

kinetic energy at v2 : k2 = ?

Formula:

Answer:

See below

Explanation:

See the image attached:

The values of the displacement and direction of the bus, calculated using vectors are:

a. The X component of D₁ is [tex]\overset{ \rightharpoonup}{D_{1x}}}[/tex] ≈ 28.24·i

The Y component of D₁ is [tex]\overset{ \rightharpoonup}{D_{1y}}}[/tex] ≈ 25.43·j

b. X component: [tex]\overset{ \rightharpoonup}{D_{2x}}}[/tex] ≈ -56.83·i

Y component: [tex]\overset{ \rightharpoonup}{D_{2y}}}[/tex] ≈ 57.88·j

c. X component: [tex]\overset{ \rightharpoonup}{D_{3x}}}[/tex] ≈ 38.89·i

Y component: [tex]\overset{ \rightharpoonup}{D_{3y}}}[/tex] ≈ -38.89·j

d. The magnitude of the resultant force is approximately 45.6 miles

The direction is approximately 13.1° east of north

The magnitude of a vector indicates the length of the vector.

12) Whereby the indicated direction of the bus are as follows and taking the direction of north and east as positive, we have:

1) D₁ = 38 mi, 48° east of north

2) D₂ = 79 mi, 46° west of north

3) D₃ = 55 mi, south–east

a. The X and Y components of D₁ are:

The X component of D₁ is D₁ₓ = 38 mi × sin(48°) = 38 mi × cos(90° - 48°) ≈ 28.24 mi

The Y component is: [tex]D_{iy}[/tex] = 38 mi × cos(48°) = 38 mi × sin(90° - 48°) ≈ 25.43 mi

b. The X and Y components of D₂ are found as follows:

D₂ₓ = 79 mi × sin(46°) = 79 mi × cos(90° - 46°) ≈ 56.83 mi

The Y component is: [tex]D_{2y}[/tex] = 79 mi × cos(46°) = 79 mi × sin(90° - 48°) ≈ 57.88 mi

c. Given that the direction of D₃ is the south west direction, which is south 45° west, the X and Y components of D₃ are:

D₃ₓ = 55 mi × sin(45°) = 55 mi × cos(90° - 45°) ≈ 38.89 mi

The Y component is: [tex]D_{3y}[/tex] = 55 mi × cos(45°) = 55 mi × sin(90° - 45°) ≈ 38.89 mi

d. The resultant vector is therefore: (28.24-56.83+38.89)·i + (25.43+57.88-38.89)·j = 10.3·i + 44.42·j

The magnitude of the resultant vector, [tex]|\overset{ \rightharpoonup}{D}}|[/tex] ≈ [tex]\sqrt{10.3^2 +44.42^2}[/tex] ≈ 45.6

The direction, θ is therefore:

The direction of the resultant is 76.9° north of east which is (90° - 76.9°) ≈ 13.1° east of north

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Given data,

Change in length,

Length of the steel wire,

Area,

Young modulus,

Calculate the strain in the wire,

Calculate the stress in the wire,

Calculate the volume of the wire,

Calculate the elastic potential energy stored.

The pen's final speed before it touches the earth is 68.6 meters per second.

What is the pen's impact velocity as it lands on the ground?

Simply said, velocity is the rate of motion of an object in a specific direction.

Using the initial motion equation

v = u + gt

where g is the acceleration caused by gravity (g = 9.8m/s2), v is the end velocity, u is the beginning velocity, t is the passing of time, and

Given the information in the query;

Prior to the drop, the pen was initially at rest (starting velocity u = 0; elapsed time t = 7.00s).

Final speed v = ?

Input the variables into the formula and solve for v to get the pen's final velocity before it reaches the ground.

v = u + gt

v = 0 + ( 9.8m/s² × 7.00s )

v = 9.8m/s² × 7.00s

v = 68.6m/s

The final speed is 68.6 meters per second as a result.

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The fundamental frequency of the standing wave when the pipe is open at both ends is 114.3 Hz.

The fundamental frequency of the standing wave when the pipe is closed at one end is 57.2 Hz.

The fundamental frequency of the standing wave when the pipe is open at both ends is calculated as follows;

L = λ/2

where;

λ = 2L

λ = 2(150 cm)

λ = 300 cm

λ = 3 m

f = v/λ

where;

f = (343 m/s) / (3 m)

f = 114.3 Hz

The fundamental frequency of the standing wave when the pipe is closed at one end is calculated as follows;

L = λ/4

λ = 4L

λ = 4(150 cm)

λ = 600 cm = 6 m

f = v/λ

f = (343) / (6)

f = 57.2 Hz

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The height of the ball at the given angle is 0.18 m.

The time of motion of the ball from the given height is calculated as follows;

h = ut + ¹/₂gt²

where;

h = ¹/₂gt²

t = √(2h/g)

t = √(2 x 1 / 9.8)

t = 0.45 s

The horizontal speed of the ball is calculated as follows;

X = vt

where;

v = X/t

v = (1.2 m) / (0.45 s)

v = 2.67 m/s

The height of the ball at the given angle is calculated as follows;

(vsinθ)² = (usinθ) + 2gh

where;

(vsinθ)² = (0) + 2gh

(vsinθ)² = 2gh

h = (vsinθ)²/2g

h = (2.67 sin45)²/(2 x 9.8)

h = 0.18 m

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The height achieved by the ball will be 0.18 m above the floor when its velocity vector makes a 45° angle with the horizontal.

The velocity of a vector represents the rate and direction of motion. Anything's velocity is the rate at which it moves in a single direction.

The SI unit is meter per second (m/s) and the dimension formula is M⁰L¹T⁻¹.

According to the question,

The given values are :

Initial Speed, u = 0 m/s

Height, h = 1.00 m

The horizontal distance, X = 1.2 m.

Use the equation of time of motion,

h = ut + 1/2gt²

put the values in the equation,

1 = 0 + 1/2(9.8)t²

t² = [tex]\sqrt{2/9.8}[/tex]

t = 0.45 seconds.

The ball will move horizontally at a speed of :

X = v × t

v = X/t

v = 1.2 / 0.45

v =2.67 m/s.

Now, calculate the height of the ball at a given angle,

(v sinθ)² = (u sinθ) + 2gh

(v sinθ)² = 0 + 2gh

h = (v sinθ)²/2g

h = (2.56 sin 45°)² / (2 × 9.8)

h = 0.18 m.

Hence, the height of the ball above the floor is 0.18 meters.

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Answer: See the diagram,from the vevtor addition we can say,net force acting on the apple is =

√

2.25

2

+

1.05

2

+

2

⋅

2.25

⋅

1.05

cos

90

=

2.48

N

And,this resultant force makes an angle of

tan

−

1

(

1.05

2.25

)

or,

25

degrees w.r.t vertical

We are asked to determine the output voltage of a coil with 610 turns given the number of turns and the voltage of the primary coil. To do that we will use the following formula:

Where:

Now, we solve for V2 by multiplying both sides by V1:

Now, we substitute the values:

Solving the operations:

Therefore, the voltage of the secondary coil is 366V.

The scale would read 490 Newtons because that is the force that the person is exerting on the scale. The acceleration of the elevator does not affect the reading on the scale.

What is newton?
The International System of Units' (Symbol: N) unit of force is the newton (SI). The force that causes a mass of one kilogramme to accelerate by one metre per second. Per second is known as 1 kgm/s². It bears Isaac Newton's name in honour of his contributions to classical mechanics, particularly Newton's second rule of motion. A newton is equal to 1 kg/m² (it is a derived unit which is defined in terms of the SI base units). As a result, one newton is the force required to accelerate one kilogramme of mass at a rate of one metre per square second per second per second.

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