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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