As Jared Markell said, if you wan to launch several processes in a docker container, you have to use supervisor. You will have to configure supervisor to tell him to launch your different processes.
I wrote about this in this blog post, but you have a really nice article here detailing how and why using supervisor in Docker.
Basically, you will want to do something like:
FROM ubuntu
RUN apt-get update
RUN apt-get install -y apache2
RUN apt-get install -y mongod #pretend this exists
RUN apt-get install -y supervisor # Installing supervisord
ADD supervisord.conf /etc/supervisor/conf.d/supervisord.conf
EXPOSE 80
ENTRYPOINT ["/usr/bin/supervisord"]
And add a configuration a file supervisord.conf
[supervisord]
nodaemon=true
[program:mongodb]
command=/etc/mongod/mongo #To adapt, I don't know how to launch your mongodb process
[program:apache2]
command=/usr/sbin/apache2 -DFOREGROUND
EDIT: As this answer has received quite lot of upvotes, I want to precise as a warning that using Supervisor is not considered as a best practice to run several jobs. Instead, you may be interested in creating several containers for your different processes and managing them through docker compose.
In a nutshell, Docker Compose allows you to define in one file all the containers needed for your app and launch them in one single command.