Cosmic Explorer is a proposed next-generation gravitational-wave observatory in the United States that is planned to be operational by the mid-2030s. Cosmic Explorer along with Einstein Telescope will form a network of next-generation gravitational-wave detectors. I propose the science-goal-focused tunable design of the Cosmic Explorer detectors that allow for the possibility to tune with sensitivity at low, mid, and high frequencies. These tuning options give Cosmic Explorer the flexibility to target a diverse set of science goals with the same detector infrastructure. The technological challenges to achieving these tunable configurations are presented. I find that a 40 km Cosmic Explorer detector outperforms a 20 km in all key science goals other than access to post-merger physics. This suggests that Cosmic Explorer should include at least one 40 km facility. I also explore the detection prospects of core-collapse supernovae with the third-generation facilities – Cosmic Explorer and Einstein Telescope. I find that the weak gravitational-wave signature from core-collapse supernovae limits the likely sources to within our galaxy. This corresponds to a low event rate of two per century.
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