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- Homework Statement
- A small block when released on an incline plane, first slides down and then stops after sliding down a height ##h##. This strange behaviour is due to the coefficient of friction that is here proportional to the distance slid by the block. Find the maximum speed of the block during this motion. Acceleration due to gravity is ##g##.

- Relevant Equations
- $$U=mgh$$

$$F_s= \mu N$$

This problem was from the chapter on Work and Energy so, I thought of using the principle of conservation of mechanical energy. Clearly, the potential energy of the block decreases by mgh (assuming the block has mass m). This energy should have been converted to kinetic energy, but it clearly hasn't. That means work has been done on it by the friction of the inclined plane. However, I don't know how to proceed from here as I can't figure out how work by friction enters the equation. Only thing I can say is that μ=kx where μ is the coefficient of sliding friction, k is a constant and x is the distance slid by the block.

Kindly help me.

Thank you.

Kindly help me.

Thank you.