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It doesn't seem like it. The motor seems to be a car window motor meant to NOT budge, otherwise people would be able to just press or pry the window and then just push it down. Have you ever seen a person get locked out and they just were able to pry the window and push it down to get in?If it is a windshield wiper motor it might?
All you need is a time delay DPDT relay and a sensor. Or the sensor has the time delay and a regular DPDT relay. The first one is easier.Set the DPDT relay time off delay for the length of time needed to open the door and time to walk through. What happens is when the PIR senses motion it sends 5v high signal to the relay module. The relay is triggered and remains on for whatever time you set it to. Once it turns off the door closes. No Arduino is need just simple components.If you can't find a cheap DPDT time delay relay, just get a cheap regular one and get a SPDT 5v relay module with time delay. (Use 5v so the PIR can trigger the relay with out having to add more components) Use the SPDT relay to operate the DPDT relay.
Simple PWM Control (555) for Motor's, Lights, Heated Clothes, Etc