Alternating Current

A charged 30 µF capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit?

Given data in the question can be listed as,

Capacitance , C = 30 µF = 0.000030 F

L = 27mH = 0.027 H

To find = angular frequency = ?

$https://latex.codecogs.com/svg.image?{\omega _{r}}^{}=\frac{1}{\sqrt[]{LC}}$

$https://latex.codecogs.com/svg.image?\omega_{r} = \frac{1}{\sqrt{0.027 x 0.000030}} = 1.11 x 10_{}^{3} rad/s$

The mass of the earth is 6 x 10²⁴ kg. The distance between the earth and the Sun is 1.5x 10¹¹ m. If the gravitational force between the two is 3.5 x 10²² N, what is the mass of the Sun?