A wooden block starting from rest, slides 6 m down a 45° slope, then 3 m along the level surface and then up 30° incline until it come to rest again. If the coefficient of friction is 0.15 for all surfaces in contact compute the total distance traveled.

A force of 100 N is applied on a crate to push it over 10 m factory floor horizontally and the friction force offered by the contact surface is 70 N then calculate the kinetic energy gained by the crate.

Calculate the heat flux and overall heat transfer coefficient for two-layer wall, which consists of bricks - l1=0,5 W/(m∙K), and the insulating material - l2=0,05 W/(m∙K). Layer thickness are as follows: s1=0,3, s2=0,2 m, respectively. The temperatures on the outer surface of walls are: bricks t1=10oC, insulation t2 = –5oC. Inside and outside air tempe-ratures are: tin=20oC, and tout= –10oC, respectively.

During a flow of 500 liters, the gage pressure is 68 kPa in the horizontal 300 mm supply line of a water turbine. A 41 kPa vacuum is measured at a 450 mm section of draft tube 2 m below the turbine. Assuming an efficiency of 85%,

a. Compute the total head extracted by the turbine.

b. Compute the output horsepower of the turbine.

c. Compute the input horsepower of the turbine.