Problemas
4. You have landed your spaceship on an asteriod and want to determine the acceleration due to gravity using a simple pendulum of 0.75 m If the period of this pendulum is 2.55, what is the value of g on the asteriod?
Roztwór
Carla
maestro · Tutor durante 5 años
4.2
(225 Votos)
Respuesta
To determine the acceleration due to gravity on the asteroid using the simple pendulum, we can use the formula for the period of a simple pendulum:
Where:-
is the period of the pendulum-
is the length of the pendulum-
is the acceleration due to gravityGiven:-
seconds-
metersWe need to solve for
:1. Rearrange the formula to solve for
:
2. Substitute the given values into the formula:
3. Calculate the value:
Therefore, the acceleration due to gravity on the asteroid is approximately
.