Final answer:
The mass of the elevator is 1000 kg.
Step-by-step explanation:
To find the mass of an elevator, we can use the equation F = ma, where F is the force applied, m is the mass, and a is the acceleration. In this case, the force is 2000 N and the acceleration is 2 m/s². Plugging these values into the equation, we get 2000 = m * 2. Solving for m, we find that the mass of the elevator is 1000 kg.