At the Paul Scherrer Institute, a ring cyclotron accelerates protons for use in therapeutic cancer research. In a particular run, a beam of protons is accelerated until each proton has a total relativistic energy of 1.80×109 eV1.80 \times 10^9 \text{ eV}1.80×109 eV.
Calculate the speed of these protons as a fraction of the speed of light ccc.
Give your answer to 2 decimal places.
22 exam-style questions on AQA A Level Physics Special relativity (A-level only), covering The Michelson-Morley experiment (A-level only), Einstein's theory of special relativity (A-level only), Time dilation (A-level only), Length contraction (A-level only), and Mass and energy (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.