Final answer:
The acceleration due to gravity on Mars is found using the simple pendulum formula and is approximately 3.71 m/s², calculated from the given period and length of the pendulum.
Step-by-step explanation:
The acceleration due to gravity on Mars can be determined using the formula for the period (T) of a simple pendulum:
T = 2π√l/g
where T is the period, l is the length of the pendulum, g is the acceleration due to gravity, and π (pi) is a mathematical constant. Given the period (T) is 3.26 seconds and the length (l) is 1.00 meter, we can solve for g as follows:
- Rearrange the formula to solve for g:
- Plug in the values for T and l:
- g = 4π²(1.00 m)/(3.26 s)²
Performing the calculation:
- g ≈ 3.71 m/s²
Thus, the acceleration due to gravity on Mars is approximately 3.71 m/s².