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Alex787 [66]
3 years ago
13

research group uses short bursts of laser light to measure the motion of electrons moving within and among atoms. In the planeta

ry model of the atom, the hydrogen atom can be viewed as having a single electron in a circular orbit with a diameter of approximately 10-10 m. If the average speed of the electron in the orbit is known to be 2,200,000 m/s, calculate the number of revolutions per second it makes around the nucleus.
Physics
1 answer:
Leokris [45]3 years ago
3 0

Answer:

ω = 7 x 10¹⁵ rev/s

Explanation:

The linear and angular velocities are related through the following formula:

v = r\omega

where,

v = linear speed of electron = 2200000 m/s

r = radius of orbit = \frac{diameter}{2} = \frac{10^{-10}\ m}{2}  = 0.5\ x\ 10^{-10}\ m

therefore, substituting these values in the formula, we get:

2200000\ m/s = (0.5\ x\ 10^{-10}\ m)(\omega)\\\omega = \frac{2200000\ m/s}{0.5\ x\ 10^{-10}\ m} \\

ω = 4.4 x 10¹⁶ rad/s

\omega = (4.44\ x\ 10^{16}\ rad/s)\frac{1\ revolution}{2 \pi\ rad}

<u>ω = 7 x 10¹⁵ rev/s</u>

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While vacationing in the mountains you do some hiking. In the morning, your displacement is S⃗ morning= (2200 m , east) + (4000
Minchanka [31]

Answer:

a

    The hiker (you ) is  200 m below his/her(your) starting point

b

   The resultant displacement in the north east direction is

a  = 6562.0 \  m

    The resultant displacement in vertical direction (i.e the altitude change )

  b =6503.1 \  m

Explanation:

From the question we are told that  

  The displacement in the morning is  S_{morning} =  (2200 \m , east) + (4000\ m\ north) + (100 \ m ,\ vertical)

   The displacement in the afternoon is  S _{afternoon}= (1300\ m ,\ west) + (2500 \ m ,\ north) - (300\ m ,\ vertical)

Generally the direction west is negative , the direction east is positive

                 the direction south is negative , the direction north is  positive

resultant displacement  is mathematically evaluated as  

    (2200 \m , east) +( - 1300\ m ,\ west) = 900 \ m \ east

     (4000\ m\ north)  + (2500 \ m ,\ north) = 6500  \ m ,\ north

     (100 \ m ,\ vertical) - (300\ m ,\ vertical) = -200 \ m

From the above calculation we see that at the end of the hiking the hiker (you) is  200 m below his/her(your) initial position

Generally from Pythagoras theorem , the resultant displacement in the north east direction is

      a  =  \sqrt{900^2 + 6500^2}

=>     a  = 6562.0 \  m

Generally from Pythagoras theorem , the resultant displacement in vertical direction (i.e the altitude change )

      b = \sqrt{6500^2 +(-200)^2  }

=>   b =6503.1 \  m

   

5 0
3 years ago
A 1.0-m-diameter vat of liquid is 2.0 m deep. The pressure at the bottom of the vat is 1.3 atm. What is the mass of the liquid i
gladu [14]

Answer:

The mass of the liquid = 10538 kg

Explanation:

The pressure in a liquid is

P = ρgh ......................... Equation 1

ρ = P/gh ...................... Equation 2

Where P = pressure, ρ = density, g = acceleration due to gravity, h = height.

Given: p = 1.3 atm, h = 2.0 m, g = 9.81 m/s²

If,  1 atm = 1.013×10⁵ N/m²

Then, P = 1.3×1.013×10⁵ N/m² = 1.3169×10⁵ N/m²

Substituting in equation 2,

ρ  =  1.3169×10⁵/(9.81×2)

ρ =   1.3169×10⁵/19.62

 ρ = 6712.03 kg/m³.

But Density,

ρ  = m/v  

m =  ρ × v........................ Equation 3

Where m = mass of the liquid, v = volume of the liquid in the vat

v = πd²h/4, where d = diameter = 1.0 m, h = 2.0 m.

v = 3.14(1)²×2/4

v = 1.57 m³ also,  ρ =  6712.03 kg/m³.

Substituting into equation 3

m = 1.57×6712.03

m = 10537.887 kg

m ≈ 10538 kg.

Thus the mass of the liquid = 10538 kg

3 0
3 years ago
In football we see unbalanced forces. When 1 player exerts an unbalanced force on another player and causes a player to
zaharov [31]

Answer:

Fall

Explanation:

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Harlamova29_29 [7]

Answer:

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julia-pushkina [17]
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A pulley would be the most practical way of moving the cotton bale. A pulley supports movement and will help the farmer move the bale.

\sf\ Answer:\ D)\ BLOCK\ AND\ TACKLE\ (PULLEY)
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