This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Calculate the Lorentz factor . The speed of the particle is given as v = 0.6c. The Lorentz factor is given by the formula: = (1)/(sqrt(1 - v^2)c^2) Substitute the given speed v = 0.6c: = (1)/(sqrt(1 - (0.6c)^2)c^2) = (1)/(sqrt(1 - 0.36c^2)c^2) = (1)/(sqrt(1 - 0.36)) = (1)/(sqrt(0.64)) = (1)/(0.8) = 1.25 Step 2: Calculate the relativistic kinetic energy. The relativistic kinetic energy KE is given by the formula: KE = ( - 1)mc^2 Substitute the calculated value of : KE = (1.25 - 1)mc^2 KE = 0.25mc^2 Comparing this result with the given options: A. 0.18mc^2 B. 0.22mc^2 C. 0.25mc^2 D. mc^2 The calculated kinetic energy matches option C. The final answer is C. 0.25mc^2. Send me the next one 📸