Final answer:
The acceleration of each object is zero.
Step-by-step explanation:
In order to determine the acceleration of each object, we need to apply Newton's second law of motion. The formula is given as:
Force = mass x acceleration
For the hanging object, the force acting on it is the tension in the rope. The mass of the hanging object is given as 1.0 kg. Therefore, the equation becomes:
Tension = (mass of hanging object) x (acceleration of hanging object)
Similarly, for the plant on the table, the force acting on it is its weight. The mass of the table plant is given as 4.0 kg. Therefore, the equation becomes:
Weight = (mass of table plant) x (acceleration of table plant)
Since the system is at rest, the acceleration of both objects is zero.