Question

an orbiting spacecraft accidentally engages its engines and moves farther from earth. the orbiting object will crash into the center object. escape the orbit.

Explanation:

When a spacecraft moves farther from Earth by engaging its engines, it gains more kinetic energy. If the additional energy is sufficient to overcome the gravitational - binding energy of the Earth - spacecraft system, it will escape the orbit. Just moving farther does not mean it will crash into the center object (Earth).

Answer:

escape the orbit.