A 85g arrow is fired from a bow whose string exerts an average force of 105N on the arrow over a distance of 75cm. What is the speed of the arrow as it leaves the bow? If the arrow was shot into the air at an angle of 45⁰ from the horizontal, how far will the arrow travel before hitting the ground?

Asteel tube (k=50 w/mk) of inner and outer diameter di = 20mm and do=26mm, respectively, is used to transfer heat from hot gases flowing over the tube (h-hot = 200w/m2k) to cold water flowing through the tube (h-cold = 8000 w/m2k). what is the cold-side overall heat transfer coefficient uc? to enhance heat transfer 16 straight fins of rectangular profile are installed longitudinally along the outer surface of the tube. the fins are equally spaced around the circumference of the tube, each having a thickness of 2mm and a length of 15mm. what is the corresponding overall heat transfer coefficient uc? *solve for uc in both cases*