A particle accelerator exerts a force on particles that are initially at rest. Each of the particles has a mass of \(1.6726 \times 10^{-27} \mathrm{~kg}\), and the point of application of the force is along the entire \(100-\mathrm{m}\) length of the accelerator. The particles traverse this distance in \(0.0179 \mathrm{~s}\) and then collide with a target that is in thermal contact with a monatomic ideal gas. If the particles distribute their kinetic energy elastically, what is the temperature of the gas after the accelerator has been running for a long time interval?