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A block of mass 2.5 kg is kept on a roug...

A block of mass 2.5 kg is kept on a rough horizontal surface. It is found that the block does not slide if a horizontal force less than 15 N is applied to it. Also it is found that it takes 5 seconds to slide through the first 10 m if a horizontal force of 15 N is applied and the block is gently pushed to start the motion. Taking `g=10 m/s^2`, calculate the coefficient of static and kinetic friction between the block and the surface.

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To solve the problem, we will calculate the coefficients of static and kinetic friction step by step. ### Step 1: Calculate the Coefficient of Static Friction (μs) 1. **Identify the maximum force of static friction**: The block does not slide if a horizontal force less than 15 N is applied. Therefore, the maximum static friction force (F_s) is 15 N. 2. **Calculate the normal force (N)**: ...
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