Problem 3: (a) Consider an object of constant mass m acted on by a three-force F. According to special relativity, prove that F = yma + (F. v)v/c². Hint: Compute to notice that it appears in P, and show that dE = F.v. dt dt %3D (b) In a hot star, a multiply-ionized, hydrogen-like atom with a single remaining electron produces a series of spectral lines as described by the Bohr model. The series corresponds to electronic transitions that 1 terminate in the same final state. The longest and shortest wavelengths of the series are 63.3 nm and 22.8 nm, respectively. What is the ion?

Problem 3: (a) Consider an object of constant mass m acted on by a three-force F. According to special relativity, prove that F = yma + (F. v)v/c². Hint: Compute to notice that it appears in P, and show that dE = F.v. dt dt %3D (b) In a hot star, a multiply-ionized, hydrogen-like atom with a single remaining electron produces a series of spectral lines as described by the Bohr model. The series corresponds to electronic transitions that 1 terminate in the same final state. The longest and shortest wavelengths of the series are 63.3 nm and 22.8 nm, respectively. What is the ion?