Final answer:
The patient is experiencing a hemisection type of partial cord injury, resulting in paralysis in one leg.
Step-by-step explanation:
Based on the information provided, the partial cord injury the patient is experiencing is called hemisection. Hemisection occurs when only half of the spinal cord is damaged. In this case, the patient lost the ability to move their right leg but still has normal control over their left leg. Hemisection typically results in hemiplegia on the side of the trauma, meaning one leg would be paralyzed.