00:01
Hi there, so for this problem, we are told that an astronaut lands on an unknown planet.
00:05
Before she can perform any of her other experiments, she needs to find out the acceleration due to gravity on that planet.
00:14
Also, she has available to her is some dental flops, a timer on her mobile phone, and a small 2 .9 kilograms paperweight.
00:26
So we are given some mass 2 .9 kilograms.
00:33
And so she lets the ball swims from a 1 .8 meters length of the string, starting at rest, and measures that it takes 2 .3 seconds.
00:55
So this is a time given, 2 .3 seconds.
01:00
For it to swim from the place where she release it to the place where it first stops as it reverses direction.
01:10
Now with this information, we need to determine the acceleration due to gravity on this planet.
01:17
Now, first, for that, we know that the period of a pendulum doesn't depend on the mass that is attached to it.
01:31
It only depends on the length of the pendulum and the acceleration due to gravity, as in this equation right here.
01:40
So since we want to determine the angular and sorry, the acceleration due to gravity, the first thing that we need to do is to square both sides of this...