# The Change Friction Makes In The Complexity Of A Problem.

This problem has been inspired by a problem appearing in the JEE ADV -2013 (Paragraph questions 13-14). The problem was quite easy because work done by friction had been given and conservation of energy could be easily applied. I tried to find out how the work done by friction is evaluated.This try led to the formation of the following problem:

Consider a fixed wedge, whose part is a quarter circle of radius $$R$$ as shown. A small block of mass $$m$$ slides down the wedge and leaves horizontally from a height $$h$$ as shown.The coefficient of friction between wedge and block is $$\mu_{k}$$. Compute the value of $$x$$ in centimetres , where $$x$$ is the distance from bottom of wedge of the point where the block falls given the values below:

Details

• $$R = 200 cm$$

• $$h = 105 cm$$

• $$\mu_{k} = 0.5$$

• $$m = 2g$$

Round your answer to nearest integer

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