I started in Physics and ended up in Nuclear Engineering. I actually love my job, because I work with many wonderful colleagues across the industry, both suppliers and users of the technology, as well as scientists and engineers in R&D and application. And I get paid quite well - maybe not as much as a doctor or lawyer - but well enough.
At the moment my work involves both design and engineering, which is a great blend. Whereas in the past, I'd strictly do analysis, creating a design from scratch and implementing the knowledge of engineering and physics in the design process is a lot of fun, as well as a challenge. In addition to physics, my background includes aerospace engineering, electrical engineering, mechanical engineering and materials science and engineering - all of which I've employed at various times.
I strongly urge engineers to take as much physics as possible.
One (of many) of my current tasks involves the fluid dynamics involved in the operation of a control system. The work involves taking the designs of two systems and materials properties for the fluid interface, and developing and solving some differential equations and ultimately coming up with displacement and velocity (speed) as a function of time and distance, while meeting the time constraints and ultimately an impact load between two components.
Many of the older folks in my profession were physicists who ended up doing a lot of applied physics (engineering), simply because there were few, if any, nuclear engineering programs 40 years ago. One of my professors majored in engineering physics. One colleague who recently retired after 40+ years in the industry is now pursuing his interests in astrophysics, which is what had studied in university.