Question

A 1.00 m long pendulum in simple harmonic motion sits on the surface of mars. it has a period of 3.26 s. what is the acceleration due to gravity on mars?

O 3.71 m/s²
O 9.81 m/s²
O 4.64 m/s²
O 1.62 m/s²

Answer 1

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:

1. Rearrange the formula to solve for g:
2. Plug in the values for T and l:
3. g = 4π²(1.00 m)/(3.26 s)²

Performing the calculation:

1. g ≈ 3.71 m/s²

Thus, the acceleration due to gravity on Mars is approximately 3.71 m/s².