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A man of mass m is standing on a station...

A man of mass m is standing on a stationary board of mass M kept on a fixed frictionless horizontal surface. The man starts running rightward on the board and acquires a speed u relative to the board. Find his speed relative to the fixed surface.

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To solve the problem, we need to analyze the situation using the principle of conservation of momentum. Here’s a step-by-step breakdown of the solution: ### Step 1: Understand the system We have a man of mass \( m \) standing on a board of mass \( M \) that is on a frictionless surface. Initially, both the man and the board are at rest. ### Step 2: Define the velocities Let: - \( u \) be the speed of the man relative to the board when he starts running. ...
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