A resistor, an inductor, and a capacitor are connected in series to an ac source. under what conditions will the impedance of the circuit increase as the inductive reactance increases?

Answers

Answer 1

180° is the phase angle. An AC source is linked in series with a resistor, an inductor, and a capacitor. Inductive reactance rises with frequency because an alternating current has a time-averaged rate of change that is proportional to frequency.

Impedance of RLC series circuit

2= P²R² + (XL-X₁) ²

Here &         4 tan² (x₁=X₂) $ R +1 180° tan (XL R tan 180° = XL-X C R XL-XC R ..

                   XL-XC R X₁-X ₁ = 0 XL = Xc 2 = √√√ R² + 0² 2 2 = R

Resonance is the condition in question here. When induction occurs as well as capacitive reactances equal are equivalent but cancel due to the fact that they have degrees of phase separation. During resonance, Impedance is very low.

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Related Questions

Which method of measurement would be accurate but lack precision?
A. Measuring a volume of water by estimating the size of the
container
B. Measuring a volume of water using a graduated cylinder that can
be read to nearest mL
C. Measuring air temperature with a thermometer that has just been
taken out of hot water
D. Measuring air temperature with a thermometer that can be read to
the nearest degree and is calibrated to the correct temperature

Answers

Answer:

B

Explanation:

reading the volume of water in a graduated cylinder which can be read to the nearest mL is accurate, it lacks precision due to the bottom meniscus formed.

the bottom meniscus may cause a wrong reading due to refraction of light

Use the same line to answer the questions



Q1. Use the number line above to calculate the distances and displacements for the paths listed. Don't forget to include the units.



Distance Displacement

From A to B to M to N

From C to A to G to D

From J to I to E to H

From F to B to K to F




Q2. For each of the paths from Q1, calculate the average speed and the average velocity if the path is traveled in 5.0 seconds. Don't forget to include the units. Use this Formula Reference Sheet (click this highlighted link for information) to remember the formulas you need.


Average velocity Average speed

From A to B to M to N

From C to A to G to D

From J to I to E to H

From F to B to K to F

Answers

(a) The distance From A to B to M to N is 22 m, the displacement is 22 m, the speed is 4.4 m/s and the average velocity is 4.4 m/s.

(b) The distance From C to A to G to D is 24 m, the displacement is 2 m, the speed is 4.8 m/s and the average velocity is 0.4 m/s.

(c) The distance From J to I to E to H is 16 m, the displacement is -2 m, the speed is 3.2 m/s and the average velocity is -0.4 m/s.

(d) The distance From F to B to K to F is 32 m, the displacement is 0 m, the speed is 6.4 m/s and the average velocity is 0 m/s.

Distance traveled by the object

The distance traveled by the object is calculated as follows;

Distance From A to B to M to N

From A to B to M to N = 3 + 18 + 1 = 22

Distance From C to A to G to D

= 5 + 13 + 6

= 24

Distance From J to I to E to H

= 1 + 8 + 7

= 16

Distance from F to B to K to F

= 8 + 16 + 8

= 32

Displacement of the object

The displacement of the object is calculated as follows;

displacement = final position - initial position

Displacement From A to B to M to N

= 11 - (-11)

= 22

Displacement from C to A to G to D

= D - C

= - 4 - (-6)

= 2

Displacement from J to I to E to H

= H - J

= 5 - 7

= - 2

Displacement From F to B to K to F

= F - F

= 0

Speed of the object

The speed of the object is calculated as follows;

speed = total distance/total time

Speed of the object from A to B to M to N

= 22/5 = 4.4 m/s

Speed of the object from C to A to G to D

= 24/5

= 4.8 m/s

Speed of the object from J to I to E to H

= 16/5

= 3.2 m/s

Speed of the object from F to B to K to F

= 32/5

= 6.4 m/s

Average velocity of the object

The average velocity of the object is calculated as follows;

Average velocity from A to B to M to N

= 22/5

= 4.4 m/s

Average velocity of the object from C to A to G to D

= 2/5

= 0.4 m/s

Average velocity of the object from J to I to E to H

= -2/5

= -0.4 m/s

Average velocity of the object from F to B to K to F

= 0

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The aeroplane then continues at a CONSTANT VELOCITY for a further 800 m before leaving the runway. The length of the runway is 2 000 m. 8 m-s-1 1 .2 1.3 → Define the term vector. Convert 67 m-s¹ to km.h¹. 67 m-s¹ Calculate the: .3.1 3.2 1.3.3 3.4 30 s 800 m Acceleration of the aeroplane during the first 30 seconds Distance travelled by the aeroplane during the first 30 seconds Time taken by the aeroplane to travel the 800 m Length of the runway NOT USED when the aeroplane leaves the runway (2) (1 (4 (4 (3​

Answers

Acceleration during first 30 seconds = 1.77m[tex]s^{-2}[/tex]Distance travelled during the first 30 seconds = 796.5mTime taken to travel the 800 m = 100 secondsLength of the runway not used = 1200m

Vector is a quantity with both direction and magnitude, especially when used to map out where one point in space is in relation to another. Acceleration = s = ut + [tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex]

        800 = 0 + [tex]\frac{1}{2}[/tex]a(30)[tex]^{2}[/tex]

        800 = 450a

        a = 1.77m[tex]s^{-2}[/tex]

Distance =  s = ut + [tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex]

        s = 0+  [tex]\frac{1}{2}[/tex]1.77[tex]t^{2}[/tex]

        s =  [tex]\frac{1}{2}[/tex]1.77(30)[tex]^{2}[/tex]

        s = 796.5m

Time taken = distance / velocity

        t = 800/8

        t = 100 sec

Length of the runway not used  = total length of runway-total length covered before leaving runway

       2000 -800

      length = 1200m

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how is that velocity got like this? pls explain​

Answers

Answer:

if a car is increasing it's acceleration uniformly in a unit time, the graph will be moving away from it's origin. that's how you get this kind of graph.

I need help with these 2 physics questions ASAP thanks (Note, ignore problem 6 as I have solved it)

Answers

The final velocity of the ball is  20.8 m/s. Option C

What is the final speed?

Now we have the equation;

v^2 = u^2 + 2gh

v = final velocity

u = initial velocity

a = acceleration

s = distance

v^2 = (11.4)^2 + (2 * 10 * 15.5)

v^2 = 129.96 + 310

v = √ 129.96 + 310

v = 20.8 m/s

b)

Given that;

R = u^2sin2θ/g

Where;

g = acceleration due to gravity

θ = acute angle

u = velocity

R = (60)^2 sin2(30)/10

R = 310 m

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3. [-/2 Points]
A race car traveling northward on a straight, level track at a constant speed travels 0.760 km in 21.0 s. The return trip over the
same track is made in 26.0 s.
DETAILS SHIPPS13 2.E.010. MY NOTES
ASK YOUR TEACHER
(a) What is the average velocity of the car in m/s for the first leg of the run?
m/s
(b) What is the average velocity (in m/s) for the total trip?
m/s
PRACTICE ANOTHER

Answers

(a) The average velocity of the car in m/s for the first leg of the run is 36.2 m/s.

(b) The average velocity (in m/s) for the total trip is 0.

Average velocity

The average velocity of the car in m/s for the first leg of the run is calculated as follows;

Average velocity = total displacement/total time

Average velocity = (760) / (21) = 36.2 M/S

Average velocity for total trip

The average velocity (in m/s) for the total trip is calculated as follows;

v =  total displacement/total time

v = 0/(26 + 21)

v = 0

Thus, the average velocity of the car in m/s for the first leg of the run is 36.2 m/s.

The average velocity (in m/s) for the total trip is 0.

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What is the work generated by a healthy adult who circulates 9 l of blood through the brachial artery in 10 min?

Answers

120kJ work is generated by a healthy adult who circulates 9L of blood through the brachial artery in 10 min.

What is mean by work?Work is defined as the energy that is applied to or removed from an object by applying force along a displacement. It is frequently described in its most basic form as the result of force and displacement.Calculation of Work generated

A flow rate of 900 mL per minute is equal to a flow of 9 L in 10 minutes.

Additionally, you have 200W of total power generated.

9L Equals 9000 mL

900mL/min x 9,000mL/10min

By multiplying the power (watt) by the time, we can derive the work performed by the adult.

10 min = 600s

200W x 600s = 120 kJ

Hence, the work generated is 120kJ.

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What angle (in degrees) is needed between the direction of polarized light and the axis of a polarizing filter to cut its intensity to one-fifth of its initial value?

Answers

The 60 degrees is needed between the direction of polarized light and the axis of a polarizing filter to cut its intensity to one-fifth of its initial value.

It is given that axis of a polarizing filter to cut its intensity to one-fifth of its initial value.

It is required to find the angle between the direction of polarized light and the axis of a polarizing filter to cut its intensity to one-fifth of its initial value.

What is the  angle between the direction of polarized light and the axis of a polarizing filter?

Suppose the angle between the polarizer and the axis of filter is θ.

The intensity of light that is passing after the filter is 0.2 l₀.

From the law of Malus, we have

I = I₀ [tex]cos^{2}[/tex]θ

0.2I₀= I₀ [tex]cos^{2}[/tex]θ

0.2 =  [tex]cos^{2}[/tex]θ

[tex]cos\\[/tex]θ = 0.447

θ = 60°

Thus the angle between the direction of polarized light and the axis of a polarizing filter is 60 degree.

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what are the importance of wedge?

Answers

A wedge is a machine and it is used for separating bodies.

The Wedge as a Machine

The wedge is a combination of two inclined planes. When the wedge is driven into a body by an effort force, a much larger force will be exerted to each side by the wedge surfaces.

What are the importance of wedge?

A wedge is used to separate bodies which are held together by large forces example of this scenario is splitting of timber. A wedge is a machine and the example of wedge - type of machine are;

AxesChiselKnivesCutting tools

Note that a thin wedge has a higher mechanical advantage than a short thick one.

Therefore, a wedge is a machine and it is used for separating bodies.

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Calculate the wavelength of an electron (m = 9. 11 × 10^-28 g) moving at 3. 66 × 10^6 m/s

Answers

The wavelength of an electron (m = 9. 11 × 10^-28 g) moving at 3. 66 × 10^6 m/s will be  0.197 * [tex]10^{-12}[/tex] m

De Broglie wavelength is an important concept while studying quantum mechanics. The wavelength (λ) that is associated with an object in relation to its momentum and mass is known as de Broglie wavelength. A particle's de Broglie wavelength is usually inversely proportional to its force.

momentum (p) = mv

DE Broglie wavelength = lambda = h / p

where

h = plank's constant

m = mass of electron

v = velocity of electron

lambda = h / mv

            = 6.633 * [tex]10^{-34}[/tex] / 9. 11 × [tex]10^{-28}[/tex] *  3. 66 × [tex]10^{6}[/tex]

            = 0.197 * [tex]10^{-12}[/tex] m

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Aluminium has a work function of 4. 08 ev. (a) find the cutoff wavelength and cutoff frequency for the photoelectric effect?

Answers

Aluminium has a work function of 4. 08 eV. The cutoff wavelength and cutoff frequency for the photoelectric effect is 303.9nm and 911.7× 10¹⁷ s⁻¹ respectively.

Work Function is the minimum energy required to eject an electron from a photoelectric material.

Cutoff Wavelength is the maximum wavelength below which electron will be ejected

Cutoff Frequency is the minimum frequency required to eject electron.

Let the work function of Aluminium be Φ

Given,  work function Φ = 4.08eV

We know that hc/λ =  Φ

where, h is Planck constant

c is speed of light

λ is wavelength of light used

Hence, on subsitution

1240 / λ = 4.08 eV          (hc = 1240)

⇒ λ = 303.9 nm

Hence, cutoff wavelength used is 303.9 nm

We know that ν = c/λ

ν = 3 × 10⁸ / 303.9

⇒ ν = 911.7 × 10¹⁷ s⁻¹

Hence, cutoff frequency used is 911.7 × 10¹⁷ s⁻¹

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Give one example of a thermodynamic cycle that does not account for the carnot efficiency.

Answers

Thermo-Electrochemical converter (UTEC) is a thermodynamic cycle that does not account for the Carnot Efficiency.

What is the Carnot cycle in thermodynamics?

An ideal closed thermodynamic cycle that is reversible and consists of the four steps of isothermal expansion to a desired point, adiabatic expansion to a desired point, isothermal compression, and adiabatic compression back to the starting state.

What is the purpose of Carnot cycle?

The Carnot cycle, first proposed by the French engineer Sadi Carnot in the early 19th century, is the optimum cyclical sequence of changes in pressure and temperature of a fluid, such as a gas utilized in an engine. It serves as a benchmark for all heat engines operating in the range of high and low temperatures.

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If the signal light changes from green to yellow as you enter the intersection, you should:_______

Answers

When the light turns from green to yellow while you are already in the intersection, proceed through the intersection at a safe speed.

To find the answer, we have to study more about the importance of traffic signals.

What are the importance of yellow signal light in traffic?Recognize that you have the right-of-way when a yellow light is flashing. Reduce your speed as you get close to a flashing yellow light and keep an eye out for other cars that might not be paying attention to or respecting your right-of-way. You should safely stop your car at any intersection where there is a constant yellow light. When the light turns from green to yellow while you are already in the intersection, proceed through the intersection at a safe speed.

Thus, we can conclude that, When the light turns from green to yellow while you are already in the intersection, proceed through the intersection at a safe speed.

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On a frictionless, horizontal air track. the glider has a head-on collision with a 0. 300-kg glider that is moving to the left with a speed of 2. 20 m>s. Find the final velocity?

Answers

The final velocity is v[tex]_{2}[/tex] =-0.2m/s , v[tex]_{1}[/tex] = -3.2 m/s

Given data,

Mass of glider A (M[tex]_{1}[/tex]) = 0.15 kg

Mass of glider B (M[tex]_{2}[/tex]) = 0.3 kg

Initial velocity of A (u[tex]_{1}[/tex]) = 0.80ms-1

Initial velocity of B ( u[tex]_{2}[/tex]) = -2.2m/s

Momentum and kinetic energy are conserved in elastic collision . So,

M[tex]_{1}[/tex]u[tex]_{1}[/tex]+M[tex]_{2}[/tex]u[tex]_{2}[/tex] = M[tex]_{1}[/tex]v[tex]_{1}[/tex]+M[tex]_{2}[/tex]v[tex]_{2}[/tex]

0.15×0.8+0.3x(-2.2) = 0.15v[tex]_{1}[/tex]+0.3v[tex]_{2}[/tex]

-0.54 = 0.15v[tex]_{1}[/tex]+0.3v[tex]_{2}[/tex]

Again if,

u[tex]_{1}[/tex]+v[tex]_{1}[/tex] =u[tex]_{2}[/tex]+v[tex]_{2}[/tex]

0.8 +v[tex]_{1}[/tex] =-2.2+v[tex]_{2}[/tex]

v[tex]_{1}[/tex]-v[tex]_{2}[/tex] = -3

Solving  for -0.54 = 0.15v[tex]_{1}[/tex]+0.3v[tex]_{2}[/tex] and v[tex]_{1}[/tex]-v[tex]_{2}[/tex] = -3 , we get

v[tex]_{2}[/tex] =-0.2m/s , v[tex]_{1}[/tex] = -3.2 m/s

Therefore,The final velocity is v[tex]_{2}[/tex] =-0.2m/s , v[tex]_{1}[/tex] = -3.2 m/s

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Please help, I don't understand lol

Answers

The resulting velocity of marble B after the collision is 2.4 m/s.

The object with the faster velocity, and thus larger momentum, will impart more energy to the slower object during the collision than vice versa. Following the collision, the object with the lower beginning velocity will travel away from the other object with a higher speed and momentum.
Marble A's mass, marble B's mass, marble B's initial velocity, marble A's final velocity, marble B's final velocity, and marbles A and B's combined mass and initial velocity

Applying the mass-conservation principle
Momentum is conserved.

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

(0.08 kg)(0.5 m/s) + (0.05 kg)(0 m/s) = (0.08 kg)(-0.1 m/s) + (0.05 kg) v

0.04 kg m/s = -0.08 kg m/s + (0.05 kg) v

0.12 kg m/s = (0.05 kg) v

v = 2.4 m/s

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An electron is traveling at 0. 85c. what is its mass? (the rest mass is 9. 11 × 10-31 kg. )

Answers

The mass of the electron is [tex]1.72\times 10^{-30}[/tex] Kg.

How can we calculate the mass of the electron?

To calculate the mass of the electron we are using the formula,

[tex]m=\frac{m_{0} }{\sqrt{1-\frac{v^{2} }{c^{2} } } }[/tex]

Here we are given,

[tex]m_0[/tex]=The rest mass of an electron =  [tex]9. 11 \times 10^{-31}[/tex] kg.

v= The velocity of electron =  0. 85c.

c= The velocity of light = c.  (c=[tex]3\times 10^8[/tex] m/s)

We have to found the mass of an electron = m Kg.

Now we substitute the known values, we found that,

[tex]m=\frac{9. 11 \times 10^{-31} }{\sqrt{1-\frac{(0.85c)^{2} }{c^{2} } } }[/tex]

Or,[tex]m=\frac{9. 11 \times 10^{-31} }{\sqrt{1-(\frac{0.85c}{c})^2 } }[/tex]

Or,[tex]m=\frac{9. 11 \times 10^{-31} }{\sqrt{1-({0.85})^2 } }[/tex]

Or, [tex]m=1.72\times 10^{-30}[/tex] Kg.

From the above calculation we can conclude that, The mass of the electron is [tex]1.72\times 10^{-30}[/tex] Kg.

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What was the major problem with the hubble space telescope when it was first launched into orbit?

Answers

Answer:

Apparently, a measuring rod had been used incorrectly and the telescope was not focusing properly - changes were later made to the telescope to correct this problem.

An electron moving perpendicular to a magnetic field of 3. 2 × 10-2 t moves in a circle of radius 0. 40 cm. how fast is this electron moving?

Answers

An electron moving perpendicular to a magnetic field of 3. 2 × 10-2 t moves in a circle of radius 0. 40 cm. this electron is moving with 2.25 x 10⁷ m/s

The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is traveling through a magnetic field.

A magnetic field is defined as a location in space close to a magnet or an electric current where a physical field is formed by a moving electric charge acting as a force on another moving electric charge. The magnetic field of the Earth is an illustration of a magnetic field. The region around a magnet where the effects of magnetism are felt is known as the magnetic field.

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The colors of a soap bubble or oil slick are due to __________. two-slit interference thin-film interference huygens' principle diffraction

Answers

Answer:

Thin film interference

differemces between liquid pressure and air pressure . give this answer is box​

Answers

Answer:

The key difference between air pressure and liquid pressure is that air pressure allows the gaseous state of matter to be compressible, whereas liquid pressure makes a liquid incompressible.

Liquid pressure is the pressure that we can observe in a liquid. Air pressure is also known as atmospheric pressure, and it is the pressure as the force exerted by the collisions of particles in the air.

Two point charges of 20. 0 μc and -8. 00 μc are separated by a distance of 20. 0 cm. what is the intensity of electric field e midway between these two charges? group of answer choices

Answers

The intensity of electric field E midway between these two charges is 2.52*10^7N/C.

To find the answer, we have to know more about the electric field.

How to find the electric field?We have the expression for net electric field as,

                      [tex]E=\frac{kQ}{r^2}[/tex]

where, k is the constant equal to 8.99*10^9.

Thus, we can write the electric field created by 20micro coulomb charge at the midway between two charges is,

                [tex]E_1=\frac{8.99*10^9*20*10^{-6}}{10*10^{-2}} =1.79*10^7N/C[/tex]

We can write the electric field created by -8micro coulomb charge at the midway between two charges is,

                 [tex]E_2=\frac{8.99*10^9*8*10^{-6}}{(10*10^{-2})^2} =7.19*10^6N/C[/tex]

Thus, the net field at the midway due to two charges will be,

                [tex]E=1.79*10^7+7.19*10^6=2.52*10^7N/C[/tex]

Thus, we can conclude that, the intensity of electric field e midway between these two charges is 2.52*10^7N/C.

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On which of saturn’s moons did the cassini-huygens probe land in 2004, providing our first view of the varied and active surface?

Answers

On Titan, the largest moon of of Saturn did the Cassini-Huygens probe land in 2004.

To find the answer, we have to know more about the Cassini-Huygens Mission.

What is Cassini-Huygens mission?Before arriving at its final destination of Saturn in 2004 and beginning a series of flybys of Saturn's moons, the spacecraft contributed to studies of Jupiter for six months in 2000. In the same year, it launched the Huygens probe to explore Titan's atmosphere and surface makeup on Saturn's moon. During its second extended mission, Cassini sailed between the rings, entered the planet's atmosphere, and obtained the first measurements of a whole seasonal period for Saturn and its moons.

Thus, we can conclude that, on Titan, the largest moon of of Saturn did the Cassini-Huygens probe land in 2004.

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Approximating the eye as a single thin lens 2. 70 cm from the retina, find the focal length of the eye when it is focused on an object at a distance of 265 cm?

Answers

The focal Length of the eye is 0.37cm.

The retina, which is always 2.70 cm away from the lens, serves as the image's primary imaging medium. Image distance is 2.70 cm as a result.

The object is located 265 cm away from the eye's lens.

Based on lens formula:

[tex]\frac{1}{f} = \frac{1}{u} + \frac{1}{v}[/tex]

where the object distance is u, the image distance is v, and the focal length is f.

Consequently, u is 265.00 cm and v is 2.70 cm.

[tex]\frac{1}{f} = \frac{1}{265} + \frac{27}{10}[/tex]

[tex]\frac{1}{f} = \frac{7165}{2650}[/tex]

[tex]f = \frac{2650}{7165}[/tex]

f = 0.37

Thus, the focal length of the eye is 0.37cm.

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A blue train of mass 50 kg moves at 4 m/s toward a green train of 30 kg
initially at rest. The trains collide. After the collision the green train moves with a speed of 3 m/s. What is the final momentum of the blue train?
A. 90 kgm/s
B. 200 kgm/s
C. 110 kgm/s
D. 20 kgm/s

Answers

Answer:

C

Explanation:

Use conservation of momentum

Momentum before collision = mv = 50 (4) = 200  kg-m/s

AFTER collision

  30 * 3    + Blue momentum    = 200

    blue momentum = 110   kg-m/s

As a gaseous element condenses, the atoms become ________ and they have ________ attraction for one another.

Answers

Answer:

blank 1: close together

blank 2: more

What is the total mass of the earth's atmosphere? (the radius of the earth is 6.4 ´ 106 m, and atmospheric pressure at the surface is 105 n/m2.)

Answers

The total mass of the earth's atmosphere is 5×[tex]10^{8}[/tex] kg.

How do you calculate the total mass of the earth's atmosphere ?

To calculate the total mass of the earth's atmosphere we use the expression

[tex]P=\frac{F}{A}[/tex]

or, [tex]F=P\times A[/tex]

or,[tex]M\times g=P\times A[/tex]

or,[tex]M=\frac{P\times 4\times \pi\times r^{2} }{g}[/tex]

Here, P= Atmospheric pressure at the surface = [tex]10^{5}[/tex] N/m2

F= Force at the earth surface.

A= Area of the earth.

r= Radius of the earth=6.4 × [tex]10^{6}[/tex] m

g= Acceleration due to gravity. = 9.8 m/s2 ≈ 10 m/s2

Let, M be the total mass of the earth's atmosphere.

Now, [tex]M=\frac{10^{5}\times4\times\pi\times(6.4\times10^{6} )^{2} }{10}[/tex]

M= 5×[tex]10^{8}[/tex] kg.

Thus from the above calculation we can show that, the total mass of the earth's atmosphere is 5×[tex]10^{8}[/tex] kg.

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When energy is transferred between earth's system, some energy is lost to the surroundings in the form of _____________________. (select all that apply)

Answers

When energy is transferred between earth's system, some energy is lost to the surroundings in the form of

-light

-movement

-heat

-vibration

What is energy in earth's system?

Only a few factors account for the majority of the energy in the Earth system: solar energy, gravity, radioactive decay, and the rotation of the Earth. Many surface processes, including winds, currents, the hydrologic cycle, and the entire climate system, are powered by solar energy. Rivers and other materials flow downhill due to gravity, which also causes tides (due to the Moon's gravitational pull). The Earth's interior is heated by radioactive decay, while air and water currents are influenced by the forces of rotation.

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A spring with a constant k=400n/m shoots a 1. 00kg ball up a frictionless incline after being compressed 0. 150m. what is the maximum height reached by the ball?

Answers

The maximum height reached by the ball is 0.46m.

To find the answer, we have to know about the potential energy of a spring mass system.

How to find the maximum height reached by the ball?It is given that,

                       [tex]k=400N/m\\m=1kg\\x=0.150m\\h=?\\[/tex]

We have to find the maximum height reached by the ball.Thus, we have the expression for potential energy of a spring mass system and that of gravitational field as,

                             [tex]U=\frac{1}{2}kx^2 \\U=mgh[/tex]

Combining both, we get,

                    [tex]h=\frac{kx^2}{2mg} =\frac{400*(0.15)^2}{2*1*9.8} =0.46m[/tex]

Thus, we can conclude that, the maximum height reached by the ball is 0.46m.

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(Repost) I need help with this physics question. Thanks in advance! Answer ASAP.

Answers

(a) The gravitational force received by each 1 kg mass is 8.66 N.

(b) The magnitude of gravitational acceleration is 8.66 m/s².

(c) The orbital speed of the ISS is  7,663.6 m/s.

(d) The time take  for the ISS to orbit round the Earth is 5,558.75 seconds which is equal to 1.54 hours.

Gravitational force received by each 1 kg mass

The gravitational force received by each 1 kg mass is calculated as follows;

F = Gm₁m₂/r²

where;

m₁ is mass of Earthm₂ is mass of ISSr is the distance between the ISS and center of Earth

F = (6.67 x 10⁻¹¹ x 5.97 x 10²⁴ x 1) / (6780,000)²

F = 8.66 N

Magnitude of gravitational acceleration

mg = GMm/r²

g = GM/r²

where;

M is mass of Earth

g = (6.67 x 10⁻¹¹ x 5.97 x 10²⁴ ) / (6780,000)²

g = 8.66 m/s²

Orbital Speed of the ISS

v = √GM/r

v = √(6.67 x 10⁻¹¹ x 5.97 x 10²⁴  / 6780,000)

v = 7,663.6 m/s

Time of motion of the ISS round the Earth

T = 2πr/v

T = (2π x 6780,000) / (7663.6)

T = 5,558.75 seconds

1 hour = 3600 seconds

=  5,558.75/3600

= 1.54 hours

Thus, the gravitational force received by each 1 kg mass is 8.66 N.

The magnitude of gravitational acceleration is 8.66 m/s².

The orbital speed of the ISS is  7,663.6 m/s.

The time take  for the ISS to orbit round the Earth is 5,558.75 s = 1.54 hours.

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An fm radio station broadcasts at 98. 6 mhz. What is the wavelength of the radiowaves?.

Answers

The wavelength of radiowaves is 3.042 m.

What is radiowaves?

The electromagnetic spectrum's longest wavelengths, which are found in radio waves, are normally found at frequencies of 300 gigahertz and below.

Frequency given, f = 98.6 MHz = 98.6 x [tex]10^{6}[/tex] cycles/second

Electromagnetic waves including radiowaves also travel at the speed of light.

Therefore, c = 3.0 x [tex]10^{8}[/tex] m/sec

Wavelength = speed/frequency

wavelength of 98.6 MHz = 3.0 x [tex]10^{8}[/tex]/98.6 x [tex]10^{6}[/tex] meters

=3.042 meters

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