To calculate the resulting acceleration, we can use Newton's second law, which states that the acceleration of an object is directly proportional to the net force applied to the object and inversely proportional to its mass.

The formula for acceleration (a) is:

a = F / m

where F is the net force applied to the object and m is its mass.

In this case, the net force (F) is the unbalanced force of 9 kg-m/s². The mass (m) of the object is 10 kg.

Plugging these values into the formula, we get:

a = 9 kg-m/s² / 10 kg

= 0.9 m/s²

Therefore, the resulting acceleration of the 10-kg object is 0.9 meters per second squared.