Final answer:
The magnitude of the force the garbage exerts on the floor of the service elevator is 12.0 N.
Step-by-step explanation:
To find the magnitude of the force the garbage exerts on the floor of the service elevator, we can use Newton's second law of motion. The formula for force is given by F = ma, where F is the force, m is the mass, and a is the acceleration. In this case, the mass of the garbage is 10.0 kg and the acceleration is 1.2 m/s². Plugging in these values into the formula, we get F = (10.0 kg)(1.2 m/s²) = 12.0 N.