A chemical plant process a fluid having a flow rate of 5 lb/sec passes through a pipe where heat is transferred at the rate of 50 Btu/sec. How much work can be done by this system if the velocity, enthalpy and the height at the entrance are 100 ft/sec, 1000 Btu/lbm, and 100 ft. respectively. At the exit the values of these quantities are 50 ft/S, 1020 Btu/lbm, and 0 ft. What is the area in the inlet if the specific volume of the fluid is 15 ft3/lb. a. 48.5 Btu/s, 208 in² b. 98.5 Btu/s, 108 in² c. 48.5 Btu/s, 108 in² d. 40.5 Btu/s. 118 in²

A slingshot, which can be modeled as a spring with spring constant k = 81.9 N/m, is stretched by 22 cm with respect to its equilibrium position and used to shoot a rock with mass 0.09 kg straight up into the air. Find the speed of the rock (in m/s) when it reaches a height which is 25% of its maximum height (relative to the position at which it was shot from). Use g = 9.81 m/s?. Hint: First find the maximum height, and then find the speed when the height is 25% of that.

Please without handwriting