A ball of mass \( m \) traveling at a speed of \( 0.80c \) has a perfectly inelastic collision with an identical ball at rest. If Newtonian physics were correct for these speeds, momentum conservation would tell us that a ball of mass \( 2m \) departs the collision with a speed of \( 0.40c \). Let's do a relativistic collision analysis to determine the mass and speed of the ball after the collision. ### Educational Exercise on Expression of Variables**Objective:** Find \( M \) and express your answer in terms of \( c \) and \( m \).**Instructions:** - Use the provided input box to enter your expression for \( M \).- Ensure your answer leverages both variables \( c \) and \( m \).**Interface Features:**- **Toolbar Options:** - Various mathematical symbols and formatting tools are available above the input box. - These can assist in accurately representing your algebraic expression.**Steps:**1. Analyze the problem requirements.2. Determine the relationship between \( M \), \( c \), and \( m \).3. Input your expression for \( M \) in the given box.**Action Options:**- **Submit:** Click to submit your answer for evaluation.- **Request Answer:** Click to seek guidance or a solution.Feel free to use these tools and ensure your response is correct before submitting.

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Answered: A ball of mass m traveling at a speed…

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