Final answer:
The acceleration due to gravity on Mars can be calculated using the Atwood's machine formula and the given masses and fall time. The result is -9.71 m/s².
Step-by-step explanation:
In an Atwood's machine, the acceleration due to gravity can be calculated using the formula:
a = (m1 - m2)g / (m1 + m2)
where m1 and m2 are the masses of the objects, and g is the acceleration due to gravity.
Given that the masses are 2kg and 4kg, and the time of fall is 1.41s for a 1.24m distance, we can solve for g. Rearranging the formula, we get:
g = (m1 + m2)a / (m1 - m2)
Substituting the values, we have:
g = (2kg + 4kg)(1.24m / 1.41s²) / (2kg - 4kg)
Simplifying the equation, we have:
g = -9.71 m/s²