# Particle Flying Through A Ramp

A particle of mass $$1\text{ kg}$$, is projected with speed $$20\text{ m/s}$$, over a ramp set at $$40^\circ$$ to the horizontal. The length of the ramp is $$4\text{ m}$$, and the coefficient of friction between the particle and ramp is 0.8. The particle lands perfectly on another identical ramp $$x$$ metres away.

Assume $$g=10\text{ m/s}^2$$, what is $$x$$ to 2 decimal places?

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