Studying both mechanical engineering and physics in undergraduate programs offers significant advantages, including a deeper understanding of mechanical engineering concepts compared to peers with only a physics degree, and a stronger grasp of physics than those with a mechanical engineering degree. However, pursuing this dual path typically requires an additional year of study, leading to increased educational costs, estimated at around $60,000. This extended time in school may not significantly enhance employment prospects, as practical experience is often valued more highly by employers. The discussion highlights a specific interest in becoming an accelerator engineer, indicating that personal career goals can influence the decision to pursue dual degrees despite the potential downsides.