### Nitrogen expands in a friction-less piston-cylinder device

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1.The skier leaves the 20 degree surface at 10 m/s. (a) Determine the distance d to the point where he lands. (b)What are the magnitudes of his components of velocity parallel and perpendicular to the 45 degree surface just before he lands?

2.A cylindrical soil sample fails under an axial vertical stress of 160 kN/m^2, when it is laterally unconfined. The failure plane makes an angle of 50 degrees with the horizontal. Calculate the value of cohesion and the angle of internal friction of the soil.

3.Nitrogen expands in a friction-less piston-cylinder device from 0.10 to 0.30 m^3. The process is described by P= 7.4 - 40v + 60v^2 , where P is in bars and V is in cubic meters. Determine the work in kJ.

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