A proton undergoes a head on elastic collision with a particle of unknown mass which is initially at rest and rebounds with 16/25 of its initial kinetic energy. Calculate the ratio of the unknown mass with respect to the mass of the proton
We will solve this problem step by step using the principles of conservation of momentum and conservation of kinetic energy. ### Step 1: Define Variables Let: - \( m_p \) = Mass of the proton - \( m_x \) = Mass of the unknown particle - \( v_i \) = Initial velocity of the proton - \( v_f \) = Final velocity of the proton after collision - \( u_x = 0 \) (The unknown particle is initially at rest) - \( v_x \) = Velocity of ____ ____ ___ _________ ________ ________ ___ ________ ____.
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