00:01
Here we can use newton's law of universal gravitation and say that then the period on earth would be equaling to 2 pi times the square root of the length divided by g.
00:11
This would be equal to 2 pi multiplied by the square root of the length on earth times the radius of earth squared divided by the gravitational constant times the mass of earth squared.
00:28
And so similarly, the period on the moon would be equaling to 2 pi times the length on the moon, radius of the moon quantity squared, divided by the gravitational constant times the mass of the moon, quantity squared.
00:45
And so we want the period on earth to be equal to the period on the moon.
00:52
And so 2 pi, rather the 2 pies are going to cancel out.
00:57
So we can actually simply say the square root of the length on earth times length on earth, radius on earth, radius of earth, quantity squared, divided by gm sub e.
01:21
And this would be equalling to the square root of the length on the moon, multiplied by the radius on the moon, quantity squared, divided by the gravitational constant times the mass of the moon.
01:36
And this, i squared this...