Final answer:
The 12kg weight would fall with an acceleration of 13.58 m/s². Hence, the correct answer is option (a).
Step-by-step explanation:
To determine how fast a 12kg weight would fall with 163N of tension, we can use Newton's second law of motion which states that the force applied on an object is equal to the mass of the object multiplied by its acceleration.
In this case, we have the force (163N) and the mass (12kg), so we can rearrange the equation to solve for the acceleration:
force = mass × acceleration
Solving for acceleration:
acceleration = force/mass
Plugging in the given values:
acceleration = 163N / 12kg = 13.58 m/s²
Therefore, the correct answer is a) 13.58 m/s².