Answer:
Your answer would be "time".
Step-by-step explanation:
The word from the sentence that is the direct object is the NP "time". The direct object is a noun phrase denoting a person or thing that is the recipient of the action by a transitive verb. In this case, the transitive verb spent on takes the following NP complement "more time on military projects". That is the complete NP taken as the direct object by the verb.