Answer:
I =
Explanation:
The moment of inertia for the beam is:
I = 
Where
is the mass of the beam and L is the lengh of the beam
note:
L = 2x
And for particles I is equal to:
I = MR^2
where M is the mass of the particle and R is the distance between the pivot and the particle.
Finally, the moment of inertia for this assembly is the sum of the moment of inertia of the particles and the beam. So:
I = 
Answer : The atomic weight of the element is, 121.75 amu
Explanation :
Average atomic mass of an element is defined as the sum of masses of each isotope each multiplied by their natural fractional abundance.
Formula used to calculate average atomic mass follows:

As we are given that,
Mass of isotope 1 = 120.9038 amu
Percentage abundance of isotope 1 = 57.25 %
Fractional abundance of isotope 1 = 0.5725
Mass of isotope 2 = 122.8831 amu
Percentage abundance of isotope 2 = 100 - 57.25 = 42.75 %
Fractional abundance of isotope 2 = 0.4275
Now put all the given values in above formula, we get:
![\text{Average atomic mass of element}=\sum[(120.9038\times 0.5725)+(122.8831\times 0.4275)]](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20atomic%20mass%20of%20element%7D%3D%5Csum%5B%28120.9038%5Ctimes%200.5725%29%2B%28122.8831%5Ctimes%200.4275%29%5D)

Therefore, the atomic weight of the element is, 121.75 amu
Answer:
The formula for Impedance for circuit with R, C, and L are:

The impedance Z of the series RLC circuit depend upon angular frequency ω. Impedance is measured in ohms and resistance (R), inductance reactance and capacitive reactance. Series RLC circuit consist of the resistance, a capacitance and an inductance connected in the circuits. Electrical impedance is the measurement of the opposition that a circuit present in a current.
To enable life, this most special of attributes, planet earth has a number of ideal features it is unique among other planets in our solar system for having water in its liquid form at the surface in an conducive to life evolving
R2^ 2 / R1 ^2 = g1 / g2 = 38
<span>R2 = R1 x √38 = 6.1644* R1 </span>
<span>R2 = 6.1644 x 6378 000 = 39316632.5 m</span>